TSTP Solution File: PUZ010-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ010-1 : TPTP v8.1.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 14:10:49 EDT 2022
% Result : Unsatisfiable 0.21s 0.48s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ010-1 : TPTP v8.1.0. Bugfixed v1.0.1.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 18:28:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.21/0.48 % SZS status Unsatisfiable
% 0.21/0.48 % SZS output start Proof
% 0.21/0.48 tff(is_color_type, type, (
% 0.21/0.48 is_color: ( $i * $i ) > $o)).
% 0.21/0.48 tff(green_type, type, (
% 0.21/0.48 green: $i)).
% 0.21/0.48 tff(house_5_type, type, (
% 0.21/0.48 house_5: $i)).
% 0.21/0.48 tff(ivory_type, type, (
% 0.21/0.48 ivory: $i)).
% 0.21/0.48 tff(red_type, type, (
% 0.21/0.48 red: $i)).
% 0.21/0.48 tff(house_4_type, type, (
% 0.21/0.48 house_4: $i)).
% 0.21/0.48 tff(house_3_type, type, (
% 0.21/0.48 house_3: $i)).
% 0.21/0.48 tff(drinks_type, type, (
% 0.21/0.48 drinks: ( $i * $i ) > $o)).
% 0.21/0.48 tff(orange_type, type, (
% 0.21/0.48 orange: $i)).
% 0.21/0.48 tff(japanese_type, type, (
% 0.21/0.48 japanese: $i)).
% 0.21/0.48 tff(coffee_type, type, (
% 0.21/0.48 coffee: $i)).
% 0.21/0.48 tff(spaniard_type, type, (
% 0.21/0.48 spaniard: $i)).
% 0.21/0.48 tff(water_type, type, (
% 0.21/0.48 water: $i)).
% 0.21/0.48 tff(milk_type, type, (
% 0.21/0.48 milk: $i)).
% 0.21/0.48 tff(english_type, type, (
% 0.21/0.48 english: $i)).
% 0.21/0.48 tff(lives_type, type, (
% 0.21/0.48 lives: ( $i * $i ) > $o)).
% 0.21/0.48 tff(house_type, type, (
% 0.21/0.48 house: $i > $o)).
% 0.21/0.48 tff(person_type, type, (
% 0.21/0.48 person: $i > $o)).
% 0.21/0.48 tff(yellow_type, type, (
% 0.21/0.48 yellow: $i)).
% 0.21/0.48 tff(house_1_type, type, (
% 0.21/0.48 house_1: $i)).
% 0.21/0.48 tff(left_of_type, type, (
% 0.21/0.48 left_of: ( $i * $i ) > $o)).
% 0.21/0.48 tff(color_type, type, (
% 0.21/0.48 color: $i > $o)).
% 0.21/0.48 tff(house_2_type, type, (
% 0.21/0.48 house_2: $i)).
% 0.21/0.48 tff(norwegian_type, type, (
% 0.21/0.48 norwegian: $i)).
% 0.21/0.48 tff(blue_type, type, (
% 0.21/0.48 blue: $i)).
% 0.21/0.48 tff(next_to_type, type, (
% 0.21/0.48 next_to: ( $i * $i ) > $o)).
% 0.21/0.48 tff(drink_type, type, (
% 0.21/0.48 drink: $i > $o)).
% 0.21/0.48 tff(tea_type, type, (
% 0.21/0.48 tea: $i)).
% 0.21/0.48 tff(ukranian_type, type, (
% 0.21/0.48 ukranian: $i)).
% 0.21/0.48 tff(drives_type, type, (
% 0.21/0.48 drives: ( $i * $i ) > $o)).
% 0.21/0.48 tff(masserati_type, type, (
% 0.21/0.48 masserati: $i)).
% 0.21/0.48 tff(honda_type, type, (
% 0.21/0.48 honda: $i)).
% 0.21/0.48 tff(porsche_type, type, (
% 0.21/0.48 porsche: $i)).
% 0.21/0.48 tff(saab_type, type, (
% 0.21/0.48 saab: $i)).
% 0.21/0.48 tff(owns_type, type, (
% 0.21/0.48 owns: ( $i * $i ) > $o)).
% 0.21/0.48 tff(snails_type, type, (
% 0.21/0.48 snails: $i)).
% 0.21/0.48 tff(horse_type, type, (
% 0.21/0.48 horse: $i)).
% 0.21/0.48 tff(zebra_type, type, (
% 0.21/0.48 zebra: $i)).
% 0.21/0.48 tff(animal_type, type, (
% 0.21/0.48 animal: $i > $o)).
% 0.21/0.48 tff(fox_type, type, (
% 0.21/0.48 fox: $i)).
% 0.21/0.48 tff(dog_type, type, (
% 0.21/0.48 dog: $i)).
% 0.21/0.48 tff(jaguar_type, type, (
% 0.21/0.48 jaguar: $i)).
% 0.21/0.48 tff(car_type, type, (
% 0.21/0.48 car: $i > $o)).
% 0.21/0.48 tff(1,assumption,(~is_color(house_3, red)), introduced(assumption)).
% 0.21/0.48 tff(2,plain,
% 0.21/0.48 (^[H: $i] : refl(((~lives(english, H)) | (~house(H)) | is_color(H, red)) <=> ((~lives(english, H)) | (~house(H)) | is_color(H, red)))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(3,plain,
% 0.21/0.48 (![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red)) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.48 tff(4,plain,
% 0.21/0.48 (![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red)) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(5,plain,
% 0.21/0.48 (^[H: $i] : trans(monotonicity(rewrite((is_color(H, red) | (~house(H))) <=> ((~house(H)) | is_color(H, red))), (((is_color(H, red) | (~house(H))) | (~lives(english, H))) <=> (((~house(H)) | is_color(H, red)) | (~lives(english, H))))), rewrite((((~house(H)) | is_color(H, red)) | (~lives(english, H))) <=> ((~lives(english, H)) | (~house(H)) | is_color(H, red))), (((is_color(H, red) | (~house(H))) | (~lives(english, H))) <=> ((~lives(english, H)) | (~house(H)) | is_color(H, red))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(6,plain,
% 0.21/0.48 (![H: $i] : ((is_color(H, red) | (~house(H))) | (~lives(english, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[5])).
% 0.21/0.48 tff(7,axiom,(![H: $i] : ((is_color(H, red) | (~house(H))) | (~lives(english, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_in_red_house')).
% 0.21/0.48 tff(8,plain,
% 0.21/0.48 (![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.21/0.48 tff(9,plain,
% 0.21/0.48 (![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.21/0.48 tff(10,plain,(
% 0.21/0.48 ![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(skolemize,[status(sab)],[9])).
% 0.21/0.48 tff(11,plain,
% 0.21/0.48 (![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.21/0.48 tff(12,plain,
% 0.21/0.48 (house(house_3) <=> house(house_3)),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(13,axiom,(house(house_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_house_3')).
% 0.21/0.48 tff(14,plain,
% 0.21/0.48 (house(house_3)),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.48 tff(15,plain,
% 0.21/0.48 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_3)) | is_color(house_3, red) | (~house(house_3)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_3)) | is_color(house_3, red) | (~house(house_3)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(16,plain,
% 0.21/0.48 (((~lives(english, house_3)) | (~house(house_3)) | is_color(house_3, red)) <=> ((~lives(english, house_3)) | is_color(house_3, red) | (~house(house_3)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(17,plain,
% 0.21/0.48 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_3)) | (~house(house_3)) | is_color(house_3, red))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_3)) | is_color(house_3, red) | (~house(house_3))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[16])).
% 0.21/0.48 tff(18,plain,
% 0.21/0.48 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_3)) | (~house(house_3)) | is_color(house_3, red))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_3)) | is_color(house_3, red) | (~house(house_3)))),
% 0.21/0.48 inference(transitivity,[status(thm)],[17, 15])).
% 0.21/0.48 tff(19,plain,
% 0.21/0.48 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_3)) | (~house(house_3)) | is_color(house_3, red))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(20,plain,
% 0.21/0.48 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_3)) | is_color(house_3, red) | (~house(house_3))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.21/0.48 tff(21,plain,
% 0.21/0.48 ((~lives(english, house_3)) | is_color(house_3, red)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[20, 14, 11])).
% 0.21/0.48 tff(22,plain,
% 0.21/0.48 (~lives(english, house_3)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[21, 1])).
% 0.21/0.48 tff(23,plain,
% 0.21/0.48 (^[P: $i] : refl((lives(P, house_3) | (~person(P)) | (~drinks(P, milk))) <=> (lives(P, house_3) | (~person(P)) | (~drinks(P, milk))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(24,plain,
% 0.21/0.48 (![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk))) <=> ![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[23])).
% 0.21/0.48 tff(25,plain,
% 0.21/0.48 (![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk))) <=> ![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(26,plain,
% 0.21/0.48 (^[P: $i] : trans(monotonicity(rewrite((lives(P, house_3) | (~person(P))) <=> (lives(P, house_3) | (~person(P)))), (((lives(P, house_3) | (~person(P))) | (~drinks(P, milk))) <=> ((lives(P, house_3) | (~person(P))) | (~drinks(P, milk))))), rewrite(((lives(P, house_3) | (~person(P))) | (~drinks(P, milk))) <=> (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))), (((lives(P, house_3) | (~person(P))) | (~drinks(P, milk))) <=> (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(27,plain,
% 0.21/0.48 (![P: $i] : ((lives(P, house_3) | (~person(P))) | (~drinks(P, milk))) <=> ![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[26])).
% 0.21/0.48 tff(28,axiom,(![P: $i] : ((lives(P, house_3) | (~person(P))) | (~drinks(P, milk)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','milk_in_middle')).
% 0.21/0.48 tff(29,plain,
% 0.21/0.48 (![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.21/0.48 tff(30,plain,
% 0.21/0.48 (![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.21/0.48 tff(31,plain,(
% 0.21/0.48 ![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[30])).
% 0.21/0.49 tff(32,plain,
% 0.21/0.49 (![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.21/0.49 tff(33,plain,
% 0.21/0.49 (person(english) <=> person(english)),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(34,axiom,(person(english)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english')).
% 0.21/0.49 tff(35,plain,
% 0.21/0.49 (person(english)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.21/0.49 tff(36,plain,
% 0.21/0.49 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | ((~drinks(english, milk)) | lives(english, house_3) | (~person(english)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (~drinks(english, milk)) | lives(english, house_3) | (~person(english)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(37,plain,
% 0.21/0.49 ((lives(english, house_3) | (~person(english)) | (~drinks(english, milk))) <=> ((~drinks(english, milk)) | lives(english, house_3) | (~person(english)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(38,plain,
% 0.21/0.49 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(english, house_3) | (~person(english)) | (~drinks(english, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | ((~drinks(english, milk)) | lives(english, house_3) | (~person(english))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[37])).
% 0.21/0.49 tff(39,plain,
% 0.21/0.49 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(english, house_3) | (~person(english)) | (~drinks(english, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (~drinks(english, milk)) | lives(english, house_3) | (~person(english)))),
% 0.21/0.49 inference(transitivity,[status(thm)],[38, 36])).
% 0.21/0.49 tff(40,plain,
% 0.21/0.49 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(english, house_3) | (~person(english)) | (~drinks(english, milk)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(41,plain,
% 0.21/0.49 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (~drinks(english, milk)) | lives(english, house_3) | (~person(english))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.49 tff(42,plain,
% 0.21/0.49 ((~drinks(english, milk)) | lives(english, house_3)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[41, 35, 32])).
% 0.21/0.49 tff(43,plain,
% 0.21/0.49 (~drinks(english, milk)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[42, 22])).
% 0.21/0.49 tff(44,assumption,(is_color(house_5, ivory)), introduced(assumption)).
% 0.21/0.49 tff(45,plain,
% 0.21/0.49 ((~left_of(house_5, house_1)) <=> (~left_of(house_5, house_1))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(46,axiom,(~left_of(house_5, house_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_5_not_left_of_house_1')).
% 0.21/0.49 tff(47,plain,
% 0.21/0.49 (~left_of(house_5, house_1)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.21/0.49 tff(48,plain,
% 0.21/0.49 (^[House_2: $i, House_1: $i] : refl(((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) <=> ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1)))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(49,plain,
% 0.21/0.49 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) <=> ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[48])).
% 0.21/0.49 tff(50,plain,
% 0.21/0.49 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) <=> ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(51,plain,
% 0.21/0.49 (^[House_2: $i, House_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((left_of(House_2, House_1) | (~house(House_1))) <=> ((~house(House_1)) | left_of(House_2, House_1))), (((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) <=> (((~house(House_1)) | left_of(House_2, House_1)) | (~is_color(House_1, green))))), rewrite((((~house(House_1)) | left_of(House_2, House_1)) | (~is_color(House_1, green))) <=> ((~house(House_1)) | (~is_color(House_1, green)) | left_of(House_2, House_1))), (((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) <=> ((~house(House_1)) | (~is_color(House_1, green)) | left_of(House_2, House_1)))), ((((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) | (~house(House_2))) <=> (((~house(House_1)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) | (~house(House_2))))), rewrite((((~house(House_1)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) | (~house(House_2))) <=> ((~house(House_1)) | (~house(House_2)) | (~is_color(House_1, green)) | left_of(House_2, House_1))), ((((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) | (~house(House_2))) <=> ((~house(House_1)) | (~house(House_2)) | (~is_color(House_1, green)) | left_of(House_2, House_1)))), (((((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) | (~house(House_2))) | (~is_color(House_2, ivory))) <=> (((~house(House_1)) | (~house(House_2)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) | (~is_color(House_2, ivory))))), rewrite((((~house(House_1)) | (~house(House_2)) | (~is_color(House_1, green)) | left_of(House_2, House_1)) | (~is_color(House_2, ivory))) <=> ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))), (((((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) | (~house(House_2))) | (~is_color(House_2, ivory))) <=> ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(52,plain,
% 0.21/0.49 (![House_2: $i, House_1: $i] : ((((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) | (~house(House_2))) | (~is_color(House_2, ivory))) <=> ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[51])).
% 0.21/0.49 tff(53,axiom,(![House_2: $i, House_1: $i] : ((((left_of(House_2, House_1) | (~house(House_1))) | (~is_color(House_1, green))) | (~house(House_2))) | (~is_color(House_2, ivory)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','green_right_of_ivory')).
% 0.21/0.49 tff(54,plain,
% 0.21/0.49 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.21/0.49 tff(55,plain,
% 0.21/0.49 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.21/0.49 tff(56,plain,(
% 0.21/0.49 ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(skolemize,[status(sab)],[55])).
% 0.21/0.49 tff(57,plain,
% 0.21/0.49 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.21/0.49 tff(58,plain,
% 0.21/0.49 (house(house_5) <=> house(house_5)),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(59,axiom,(house(house_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_house_5')).
% 0.21/0.49 tff(60,plain,
% 0.21/0.49 (house(house_5)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.21/0.49 tff(61,plain,
% 0.21/0.49 (house(house_1) <=> house(house_1)),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(62,axiom,(house(house_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_house_1')).
% 0.21/0.49 tff(63,plain,
% 0.21/0.49 (house(house_1)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.21/0.49 tff(64,plain,
% 0.21/0.49 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_5, house_1) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, green)) | (~is_color(house_5, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_1) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, green)) | (~is_color(house_5, ivory)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(65,plain,
% 0.21/0.49 (((~house(house_1)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_1, green)) | left_of(house_5, house_1)) <=> (left_of(house_5, house_1) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, green)) | (~is_color(house_5, ivory)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(66,plain,
% 0.21/0.49 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_1, green)) | left_of(house_5, house_1))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_5, house_1) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, green)) | (~is_color(house_5, ivory))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[65])).
% 0.21/0.49 tff(67,plain,
% 0.21/0.49 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_1, green)) | left_of(house_5, house_1))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_1) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, green)) | (~is_color(house_5, ivory)))),
% 0.21/0.49 inference(transitivity,[status(thm)],[66, 64])).
% 0.21/0.49 tff(68,plain,
% 0.21/0.49 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_1, green)) | left_of(house_5, house_1))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(69,plain,
% 0.21/0.49 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_1) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, green)) | (~is_color(house_5, ivory))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.21/0.49 tff(70,plain,
% 0.21/0.49 ((~is_color(house_1, green)) | (~is_color(house_5, ivory))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[69, 63, 60, 57, 47])).
% 0.21/0.49 tff(71,plain,
% 0.21/0.49 (~is_color(house_1, green)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[70, 44])).
% 0.21/0.49 tff(72,assumption,(is_color(house_1, red)), introduced(assumption)).
% 0.21/0.49 tff(73,plain,
% 0.21/0.49 (color(red) <=> color(red)),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(74,axiom,(color(red)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','red')).
% 0.21/0.49 tff(75,plain,
% 0.21/0.49 (color(red)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.21/0.49 tff(76,plain,
% 0.21/0.49 (^[H: $i] : refl(((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H))) <=> ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(77,plain,
% 0.21/0.49 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[76])).
% 0.21/0.50 tff(78,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(79,plain,
% 0.21/0.50 (^[H: $i] : rewrite((((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_4, H))) <=> ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(80,plain,
% 0.21/0.50 (![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_4, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[79])).
% 0.21/0.50 tff(81,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_4, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_1_and_4_coloured_different')).
% 0.21/0.50 tff(82,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.21/0.50 tff(83,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.21/0.50 tff(84,plain,(
% 0.21/0.50 ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[83])).
% 0.21/0.50 tff(85,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[84, 77])).
% 0.21/0.50 tff(86,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~color(red)) | (~is_color(house_4, red)) | (~is_color(house_1, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(red)) | (~is_color(house_4, red)) | (~is_color(house_1, red)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(87,plain,
% 0.21/0.50 (((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_4, red))) <=> ((~color(red)) | (~is_color(house_4, red)) | (~is_color(house_1, red)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(88,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_4, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~color(red)) | (~is_color(house_4, red)) | (~is_color(house_1, red))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[87])).
% 0.21/0.50 tff(89,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_4, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(red)) | (~is_color(house_4, red)) | (~is_color(house_1, red)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[88, 86])).
% 0.21/0.50 tff(90,plain,
% 0.21/0.50 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_4, red)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(91,plain,
% 0.21/0.50 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(red)) | (~is_color(house_4, red)) | (~is_color(house_1, red))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.21/0.50 tff(92,plain,
% 0.21/0.50 ((~is_color(house_4, red)) | (~is_color(house_1, red))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[91, 85, 75])).
% 0.21/0.50 tff(93,plain,
% 0.21/0.50 (~is_color(house_4, red)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[92, 72])).
% 0.21/0.50 tff(94,plain,
% 0.21/0.50 (house(house_4) <=> house(house_4)),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(95,axiom,(house(house_4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_house_4')).
% 0.21/0.50 tff(96,plain,
% 0.21/0.50 (house(house_4)),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.21/0.50 tff(97,plain,
% 0.21/0.50 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_4)) | (~house(house_4)) | is_color(house_4, red))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_4)) | (~house(house_4)) | is_color(house_4, red))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(98,plain,
% 0.21/0.50 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_4)) | (~house(house_4)) | is_color(house_4, red))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(99,plain,
% 0.21/0.50 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_4)) | (~house(house_4)) | is_color(house_4, red)),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.21/0.50 tff(100,plain,
% 0.21/0.50 ((~lives(english, house_4)) | is_color(house_4, red)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[99, 96, 11])).
% 0.21/0.50 tff(101,plain,
% 0.21/0.50 (~lives(english, house_4)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[100, 93])).
% 0.21/0.50 tff(102,assumption,(~lives(english, house_3)), introduced(assumption)).
% 0.21/0.50 tff(103,plain,
% 0.21/0.50 (^[H: $i] : refl(((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H))) <=> ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(104,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[103])).
% 0.21/0.50 tff(105,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(106,plain,
% 0.21/0.50 (^[H: $i] : rewrite((((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_5, H))) <=> ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(107,plain,
% 0.21/0.50 (![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_5, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[106])).
% 0.21/0.50 tff(108,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_5, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_1_and_5_coloured_different')).
% 0.21/0.50 tff(109,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.50 tff(110,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.21/0.50 tff(111,plain,(
% 0.21/0.50 ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[110])).
% 0.21/0.50 tff(112,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.21/0.50 tff(113,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~color(red)) | (~is_color(house_5, red)) | (~is_color(house_1, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_5, red)) | (~is_color(house_1, red)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(114,plain,
% 0.21/0.50 (((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_5, red))) <=> ((~color(red)) | (~is_color(house_5, red)) | (~is_color(house_1, red)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(115,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_5, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~color(red)) | (~is_color(house_5, red)) | (~is_color(house_1, red))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[114])).
% 0.21/0.50 tff(116,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_5, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_5, red)) | (~is_color(house_1, red)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[115, 113])).
% 0.21/0.50 tff(117,plain,
% 0.21/0.50 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_5, red)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(118,plain,
% 0.21/0.50 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_5, red)) | (~is_color(house_1, red))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.21/0.50 tff(119,plain,
% 0.21/0.50 ((~is_color(house_5, red)) | (~is_color(house_1, red))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[118, 112, 75])).
% 0.21/0.50 tff(120,plain,
% 0.21/0.50 (~is_color(house_5, red)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[119, 72])).
% 0.21/0.50 tff(121,plain,
% 0.21/0.50 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, red))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, red))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(122,plain,
% 0.21/0.50 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, red))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(123,plain,
% 0.21/0.50 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, red)),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.21/0.50 tff(124,plain,
% 0.21/0.50 ((~lives(english, house_5)) | is_color(house_5, red)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[123, 60, 11])).
% 0.21/0.50 tff(125,plain,
% 0.21/0.50 (~lives(english, house_5)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[124, 120])).
% 0.21/0.50 tff(126,plain,
% 0.21/0.50 (^[H: $i] : refl(((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H))) <=> ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(127,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H))) <=> ![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[126])).
% 0.21/0.50 tff(128,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H))) <=> ![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(129,plain,
% 0.21/0.50 (^[H: $i] : rewrite((((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_2, H))) <=> ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(130,plain,
% 0.21/0.50 (![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_2, H))) <=> ![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[129])).
% 0.21/0.50 tff(131,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_2, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_1_and_2_coloured_different')).
% 0.21/0.50 tff(132,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.21/0.50 tff(133,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[132, 128])).
% 0.21/0.50 tff(134,plain,(
% 0.21/0.50 ![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[133])).
% 0.21/0.50 tff(135,plain,
% 0.21/0.50 (![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[134, 127])).
% 0.21/0.50 tff(136,plain,
% 0.21/0.50 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~color(red)) | (~is_color(house_2, red)) | (~is_color(house_1, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~color(red)) | (~is_color(house_2, red)) | (~is_color(house_1, red)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(137,plain,
% 0.21/0.51 (((~is_color(house_2, red)) | (~is_color(house_1, red)) | (~color(red))) <=> ((~color(red)) | (~is_color(house_2, red)) | (~is_color(house_1, red)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(138,plain,
% 0.21/0.51 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, red)) | (~is_color(house_1, red)) | (~color(red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~color(red)) | (~is_color(house_2, red)) | (~is_color(house_1, red))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[137])).
% 0.21/0.51 tff(139,plain,
% 0.21/0.51 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, red)) | (~is_color(house_1, red)) | (~color(red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~color(red)) | (~is_color(house_2, red)) | (~is_color(house_1, red)))),
% 0.21/0.51 inference(transitivity,[status(thm)],[138, 136])).
% 0.21/0.51 tff(140,plain,
% 0.21/0.51 ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, red)) | (~is_color(house_1, red)) | (~color(red)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(141,plain,
% 0.21/0.51 ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~color(red)) | (~is_color(house_2, red)) | (~is_color(house_1, red))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.21/0.51 tff(142,plain,
% 0.21/0.51 ((~is_color(house_2, red)) | (~is_color(house_1, red))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[141, 135, 75])).
% 0.21/0.51 tff(143,plain,
% 0.21/0.51 (~is_color(house_2, red)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[142, 72])).
% 0.21/0.51 tff(144,plain,
% 0.21/0.51 (house(house_2) <=> house(house_2)),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(145,axiom,(house(house_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_house_2')).
% 0.21/0.51 tff(146,plain,
% 0.21/0.51 (house(house_2)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.21/0.51 tff(147,plain,
% 0.21/0.51 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_2)) | (~house(house_2)) | is_color(house_2, red))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_2)) | (~house(house_2)) | is_color(house_2, red))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(148,plain,
% 0.21/0.51 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | ((~lives(english, house_2)) | (~house(house_2)) | is_color(house_2, red))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(149,plain,
% 0.21/0.51 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | is_color(H, red))) | (~lives(english, house_2)) | (~house(house_2)) | is_color(house_2, red)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.21/0.51 tff(150,plain,
% 0.21/0.51 ((~lives(english, house_2)) | is_color(house_2, red)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[149, 146, 11])).
% 0.21/0.51 tff(151,plain,
% 0.21/0.51 (~lives(english, house_2)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[150, 143])).
% 0.21/0.51 tff(152,plain,
% 0.21/0.51 (lives(norwegian, house_1) <=> lives(norwegian, house_1)),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(153,axiom,(lives(norwegian, house_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_in_house_house_1')).
% 0.21/0.51 tff(154,plain,
% 0.21/0.51 (lives(norwegian, house_1)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.21/0.51 tff(155,plain,
% 0.21/0.51 (^[H: $i] : refl(((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H))) <=> ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(156,plain,
% 0.21/0.51 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[155])).
% 0.21/0.51 tff(157,plain,
% 0.21/0.51 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(158,plain,
% 0.21/0.51 (^[H: $i] : rewrite((((~house(H)) | (~lives(english, H))) | (~lives(norwegian, H))) <=> ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(159,plain,
% 0.21/0.51 (![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(norwegian, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[158])).
% 0.21/0.51 tff(160,axiom,(![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_norwegian_live_apart')).
% 0.21/0.51 tff(161,plain,
% 0.21/0.51 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.21/0.51 tff(162,plain,
% 0.21/0.51 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.21/0.51 tff(163,plain,(
% 0.21/0.51 ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(skolemize,[status(sab)],[162])).
% 0.21/0.51 tff(164,plain,
% 0.21/0.51 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.21/0.51 tff(165,plain,
% 0.21/0.51 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(english, house_1)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(english, house_1)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(166,plain,
% 0.21/0.51 (((~lives(english, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1))) <=> ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(english, house_1)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(167,plain,
% 0.21/0.51 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(english, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(english, house_1))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[166])).
% 0.21/0.51 tff(168,plain,
% 0.21/0.51 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(english, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(english, house_1)))),
% 0.21/0.51 inference(transitivity,[status(thm)],[167, 165])).
% 0.21/0.51 tff(169,plain,
% 0.21/0.51 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(english, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(170,plain,
% 0.21/0.51 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(norwegian, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(english, house_1))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.21/0.51 tff(171,plain,
% 0.21/0.51 (~lives(english, house_1)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[170, 164, 63, 154])).
% 0.21/0.51 tff(172,plain,
% 0.21/0.51 (^[Person: $i] : refl((lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) <=> (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(173,plain,
% 0.21/0.51 (![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) <=> ![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[172])).
% 0.21/0.51 tff(174,plain,
% 0.21/0.51 (![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) <=> ![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(175,plain,
% 0.21/0.52 (^[Person: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) <=> (lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))), (((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) <=> ((lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) | lives(Person, house_3)))), rewrite(((lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) | lives(Person, house_3)) <=> (lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))), (((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) <=> (lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))))), ((((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) | lives(Person, house_4)) <=> ((lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) | lives(Person, house_4)))), rewrite(((lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) | lives(Person, house_4)) <=> (lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))), ((((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) | lives(Person, house_4)) <=> (lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))))), (((((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) | lives(Person, house_4)) | lives(Person, house_5)) <=> ((lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) | lives(Person, house_5)))), rewrite(((lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person))) | lives(Person, house_5)) <=> (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))), (((((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) | lives(Person, house_4)) | lives(Person, house_5)) <=> (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(176,plain,
% 0.21/0.52 (![Person: $i] : ((((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) | lives(Person, house_4)) | lives(Person, house_5)) <=> ![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[175])).
% 0.21/0.52 tff(177,axiom,(![Person: $i] : ((((((~person(Person)) | lives(Person, house_1)) | lives(Person, house_2)) | lives(Person, house_3)) | lives(Person, house_4)) | lives(Person, house_5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','people_live_somewhere')).
% 0.21/0.52 tff(178,plain,
% 0.21/0.52 (![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.21/0.52 tff(179,plain,
% 0.21/0.52 (![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.21/0.52 tff(180,plain,(
% 0.21/0.52 ![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[179])).
% 0.21/0.53 tff(181,plain,
% 0.21/0.53 (![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.21/0.53 tff(182,plain,
% 0.21/0.53 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(english, house_3) | lives(english, house_1) | (~person(english)) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(english, house_3) | lives(english, house_1) | (~person(english)) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(183,plain,
% 0.21/0.53 ((lives(english, house_5) | lives(english, house_4) | lives(english, house_3) | lives(english, house_2) | lives(english, house_1) | (~person(english))) <=> (lives(english, house_3) | lives(english, house_1) | (~person(english)) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(184,plain,
% 0.21/0.53 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(english, house_5) | lives(english, house_4) | lives(english, house_3) | lives(english, house_2) | lives(english, house_1) | (~person(english)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(english, house_3) | lives(english, house_1) | (~person(english)) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2)))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[183])).
% 0.21/0.53 tff(185,plain,
% 0.21/0.53 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(english, house_5) | lives(english, house_4) | lives(english, house_3) | lives(english, house_2) | lives(english, house_1) | (~person(english)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(english, house_3) | lives(english, house_1) | (~person(english)) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2))),
% 0.21/0.53 inference(transitivity,[status(thm)],[184, 182])).
% 0.21/0.53 tff(186,plain,
% 0.21/0.53 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(english, house_5) | lives(english, house_4) | lives(english, house_3) | lives(english, house_2) | lives(english, house_1) | (~person(english)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(187,plain,
% 0.21/0.53 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(english, house_3) | lives(english, house_1) | (~person(english)) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.21/0.53 tff(188,plain,
% 0.21/0.53 (lives(english, house_3) | lives(english, house_5) | lives(english, house_4) | lives(english, house_2)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[187, 181, 35, 171])).
% 0.21/0.53 tff(189,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[188, 151, 125, 102, 101])).
% 0.21/0.53 tff(190,plain,((~is_color(house_1, red)) | lives(english, house_3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.53 tff(191,plain,
% 0.21/0.53 (~is_color(house_1, red)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[190, 22])).
% 0.21/0.53 tff(192,plain,
% 0.21/0.53 (color(ivory) <=> color(ivory)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(193,axiom,(color(ivory)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ivory')).
% 0.21/0.53 tff(194,plain,
% 0.21/0.53 (color(ivory)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.21/0.53 tff(195,plain,
% 0.21/0.53 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~color(ivory)) | (~is_color(house_5, ivory)) | (~is_color(house_1, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_5, ivory)) | (~is_color(house_1, ivory)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(196,plain,
% 0.21/0.53 (((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_5, ivory))) <=> ((~color(ivory)) | (~is_color(house_5, ivory)) | (~is_color(house_1, ivory)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(197,plain,
% 0.21/0.53 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_5, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~color(ivory)) | (~is_color(house_5, ivory)) | (~is_color(house_1, ivory))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[196])).
% 0.21/0.53 tff(198,plain,
% 0.21/0.53 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_5, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_5, ivory)) | (~is_color(house_1, ivory)))),
% 0.21/0.53 inference(transitivity,[status(thm)],[197, 195])).
% 0.21/0.53 tff(199,plain,
% 0.21/0.53 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_5, ivory)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(200,plain,
% 0.21/0.53 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_5, ivory)) | (~is_color(house_1, ivory))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.21/0.53 tff(201,plain,
% 0.21/0.53 ((~is_color(house_5, ivory)) | (~is_color(house_1, ivory))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[200, 112, 194])).
% 0.21/0.53 tff(202,plain,
% 0.21/0.53 (~is_color(house_1, ivory)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[201, 44])).
% 0.21/0.53 tff(203,plain,
% 0.21/0.53 (left_of(house_1, house_2) <=> left_of(house_1, house_2)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(204,axiom,(left_of(house_1, house_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_1_left_of_house_2')).
% 0.21/0.53 tff(205,plain,
% 0.21/0.53 (left_of(house_1, house_2)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.21/0.53 tff(206,plain,
% 0.21/0.53 (^[Y: $i, X: $i] : refl(((~left_of(X, Y)) | next_to(X, Y)) <=> ((~left_of(X, Y)) | next_to(X, Y)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(207,plain,
% 0.21/0.53 (![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y)) <=> ![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[206])).
% 0.21/0.53 tff(208,plain,
% 0.21/0.53 (![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y)) <=> ![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(209,plain,
% 0.21/0.53 (^[Y: $i, X: $i] : rewrite((next_to(X, Y) | (~left_of(X, Y))) <=> ((~left_of(X, Y)) | next_to(X, Y)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(210,plain,
% 0.21/0.53 (![Y: $i, X: $i] : (next_to(X, Y) | (~left_of(X, Y))) <=> ![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[209])).
% 0.21/0.53 tff(211,axiom,(![Y: $i, X: $i] : (next_to(X, Y) | (~left_of(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','left_means_next_to')).
% 0.21/0.53 tff(212,plain,
% 0.21/0.53 (![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.21/0.53 tff(213,plain,
% 0.21/0.53 (![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[212, 208])).
% 0.21/0.53 tff(214,plain,(
% 0.21/0.53 ![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(skolemize,[status(sab)],[213])).
% 0.21/0.53 tff(215,plain,
% 0.21/0.53 (![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[214, 207])).
% 0.21/0.53 tff(216,plain,
% 0.21/0.53 (((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | ((~left_of(house_1, house_2)) | next_to(house_1, house_2))) <=> ((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | (~left_of(house_1, house_2)) | next_to(house_1, house_2))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(217,plain,
% 0.21/0.53 ((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | ((~left_of(house_1, house_2)) | next_to(house_1, house_2))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(218,plain,
% 0.21/0.53 ((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | (~left_of(house_1, house_2)) | next_to(house_1, house_2)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.21/0.53 tff(219,plain,
% 0.21/0.53 (next_to(house_1, house_2)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[218, 215, 205])).
% 0.21/0.53 tff(220,plain,
% 0.21/0.53 (^[House_2: $i, House_1: $i] : refl(((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue)) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(221,plain,
% 0.21/0.53 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue)) <=> ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[220])).
% 0.21/0.53 tff(222,plain,
% 0.21/0.53 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue)) <=> ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(223,plain,
% 0.21/0.53 (^[House_2: $i, House_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((is_color(House_2, blue) | (~house(House_1))) <=> ((~house(House_1)) | is_color(House_2, blue))), (((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) <=> (((~house(House_1)) | is_color(House_2, blue)) | (~lives(norwegian, House_1))))), rewrite((((~house(House_1)) | is_color(House_2, blue)) | (~lives(norwegian, House_1))) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | is_color(House_2, blue))), (((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | is_color(House_2, blue)))), ((((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) | (~house(House_2))) <=> (((~house(House_1)) | (~lives(norwegian, House_1)) | is_color(House_2, blue)) | (~house(House_2))))), rewrite((((~house(House_1)) | (~lives(norwegian, House_1)) | is_color(House_2, blue)) | (~house(House_2))) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | is_color(House_2, blue))), ((((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) | (~house(House_2))) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | is_color(House_2, blue)))), (((((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) | (~house(House_2))) | (~next_to(House_1, House_2))) <=> (((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | is_color(House_2, blue)) | (~next_to(House_1, House_2))))), rewrite((((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | is_color(House_2, blue)) | (~next_to(House_1, House_2))) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))), (((((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) | (~house(House_2))) | (~next_to(House_1, House_2))) <=> ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(224,plain,
% 0.21/0.53 (![House_2: $i, House_1: $i] : ((((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) | (~house(House_2))) | (~next_to(House_1, House_2))) <=> ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[223])).
% 0.21/0.53 tff(225,axiom,(![House_2: $i, House_1: $i] : ((((is_color(House_2, blue) | (~house(House_1))) | (~lives(norwegian, House_1))) | (~house(House_2))) | (~next_to(House_1, House_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_in_blue_house')).
% 0.21/0.53 tff(226,plain,
% 0.21/0.53 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.21/0.53 tff(227,plain,
% 0.21/0.53 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[226, 222])).
% 0.21/0.53 tff(228,plain,(
% 0.21/0.53 ![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(skolemize,[status(sab)],[227])).
% 0.21/0.53 tff(229,plain,
% 0.21/0.53 (![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[228, 221])).
% 0.21/0.53 tff(230,plain,
% 0.21/0.53 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~lives(norwegian, house_1)) | is_color(house_2, blue) | (~house(house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | (~lives(norwegian, house_1)) | is_color(house_2, blue) | (~house(house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(231,plain,
% 0.21/0.53 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)) | is_color(house_2, blue)) <=> ((~lives(norwegian, house_1)) | is_color(house_2, blue) | (~house(house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(232,plain,
% 0.21/0.53 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)) | is_color(house_2, blue))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~lives(norwegian, house_1)) | is_color(house_2, blue) | (~house(house_1)) | (~house(house_2)) | (~next_to(house_1, house_2))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[231])).
% 0.21/0.53 tff(233,plain,
% 0.21/0.53 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)) | is_color(house_2, blue))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | (~lives(norwegian, house_1)) | is_color(house_2, blue) | (~house(house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)))),
% 0.21/0.54 inference(transitivity,[status(thm)],[232, 230])).
% 0.21/0.54 tff(234,plain,
% 0.21/0.54 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~house(house_2)) | (~next_to(house_1, house_2)) | is_color(house_2, blue))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(235,plain,
% 0.21/0.54 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | (~lives(norwegian, house_1)) | is_color(house_2, blue) | (~house(house_1)) | (~house(house_2)) | (~next_to(house_1, house_2))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.21/0.54 tff(236,plain,
% 0.21/0.54 (is_color(house_2, blue)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[235, 63, 146, 154, 229, 219])).
% 0.21/0.54 tff(237,plain,
% 0.21/0.54 (color(blue) <=> color(blue)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(238,axiom,(color(blue)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','blue')).
% 0.21/0.54 tff(239,plain,
% 0.21/0.54 (color(blue)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.21/0.54 tff(240,plain,
% 0.21/0.54 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_1, blue)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_1, blue)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(241,plain,
% 0.21/0.54 (((~is_color(house_2, blue)) | (~is_color(house_1, blue)) | (~color(blue))) <=> ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_1, blue)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(242,plain,
% 0.21/0.54 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, blue)) | (~is_color(house_1, blue)) | (~color(blue)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_1, blue))))),
% 0.21/0.54 inference(monotonicity,[status(thm)],[241])).
% 0.21/0.54 tff(243,plain,
% 0.21/0.54 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, blue)) | (~is_color(house_1, blue)) | (~color(blue)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_1, blue)))),
% 0.21/0.54 inference(transitivity,[status(thm)],[242, 240])).
% 0.21/0.54 tff(244,plain,
% 0.21/0.54 ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, blue)) | (~is_color(house_1, blue)) | (~color(blue)))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(245,plain,
% 0.21/0.54 ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_1, blue))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.21/0.54 tff(246,plain,
% 0.21/0.54 ((~is_color(house_2, blue)) | (~is_color(house_1, blue))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[245, 135, 239])).
% 0.21/0.54 tff(247,plain,
% 0.21/0.54 (~is_color(house_1, blue)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[246, 236])).
% 0.21/0.54 tff(248,plain,
% 0.21/0.54 (^[H: $i] : refl(((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) <=> ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(249,plain,
% 0.21/0.54 (![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) <=> ![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[248])).
% 0.21/0.54 tff(250,plain,
% 0.21/0.54 (![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) <=> ![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(251,plain,
% 0.45/0.54 (^[H: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) <=> ((~house(H)) | is_color(H, yellow) | is_color(H, red))), (((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) <=> (((~house(H)) | is_color(H, yellow) | is_color(H, red)) | is_color(H, blue)))), rewrite((((~house(H)) | is_color(H, yellow) | is_color(H, red)) | is_color(H, blue)) <=> ((~house(H)) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))), (((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) <=> ((~house(H)) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)))), ((((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) | is_color(H, green)) <=> (((~house(H)) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) | is_color(H, green)))), rewrite((((~house(H)) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) | is_color(H, green)) <=> ((~house(H)) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))), ((((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) | is_color(H, green)) <=> ((~house(H)) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)))), (((((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) | is_color(H, green)) | is_color(H, ivory)) <=> (((~house(H)) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) | is_color(H, ivory)))), rewrite((((~house(H)) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red)) | is_color(H, ivory)) <=> ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))), (((((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) | is_color(H, green)) | is_color(H, ivory)) <=> ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(252,plain,
% 0.45/0.54 (![H: $i] : ((((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) | is_color(H, green)) | is_color(H, ivory)) <=> ![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[251])).
% 0.45/0.54 tff(253,axiom,(![H: $i] : ((((((~house(H)) | is_color(H, red)) | is_color(H, yellow)) | is_color(H, blue)) | is_color(H, green)) | is_color(H, ivory))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_coloured')).
% 0.45/0.54 tff(254,plain,
% 0.45/0.54 (![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.45/0.54 tff(255,plain,
% 0.45/0.54 (![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[254, 250])).
% 0.45/0.54 tff(256,plain,(
% 0.45/0.54 ![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.45/0.54 inference(skolemize,[status(sab)],[255])).
% 0.45/0.54 tff(257,plain,
% 0.45/0.54 (![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[256, 249])).
% 0.45/0.54 tff(258,plain,
% 0.45/0.54 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | (is_color(house_1, yellow) | (~house(house_1)) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_1, yellow) | (~house(house_1)) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(259,plain,
% 0.45/0.54 (((~house(house_1)) | is_color(house_1, ivory) | is_color(house_1, green) | is_color(house_1, blue) | is_color(house_1, yellow) | is_color(house_1, red)) <=> (is_color(house_1, yellow) | (~house(house_1)) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(260,plain,
% 0.45/0.54 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_1)) | is_color(house_1, ivory) | is_color(house_1, green) | is_color(house_1, blue) | is_color(house_1, yellow) | is_color(house_1, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | (is_color(house_1, yellow) | (~house(house_1)) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red)))),
% 0.45/0.54 inference(monotonicity,[status(thm)],[259])).
% 0.45/0.54 tff(261,plain,
% 0.45/0.54 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_1)) | is_color(house_1, ivory) | is_color(house_1, green) | is_color(house_1, blue) | is_color(house_1, yellow) | is_color(house_1, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_1, yellow) | (~house(house_1)) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red))),
% 0.45/0.54 inference(transitivity,[status(thm)],[260, 258])).
% 0.45/0.54 tff(262,plain,
% 0.45/0.54 ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_1)) | is_color(house_1, ivory) | is_color(house_1, green) | is_color(house_1, blue) | is_color(house_1, yellow) | is_color(house_1, red))),
% 0.45/0.54 inference(quant_inst,[status(thm)],[])).
% 0.45/0.54 tff(263,plain,
% 0.45/0.54 ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_1, yellow) | (~house(house_1)) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red)),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.45/0.54 tff(264,plain,
% 0.45/0.54 (is_color(house_1, yellow) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, blue) | is_color(house_1, red)),
% 0.45/0.54 inference(unit_resolution,[status(thm)],[263, 257, 63])).
% 0.45/0.54 tff(265,plain,
% 0.45/0.54 (is_color(house_1, yellow) | is_color(house_1, green) | is_color(house_1, ivory) | is_color(house_1, red)),
% 0.45/0.54 inference(unit_resolution,[status(thm)],[264, 247])).
% 0.45/0.54 tff(266,plain,
% 0.45/0.54 (is_color(house_1, yellow)),
% 0.45/0.54 inference(unit_resolution,[status(thm)],[265, 202, 191, 71])).
% 0.45/0.54 tff(267,plain,
% 0.45/0.54 (^[H: $i] : refl(((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H))) <=> ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(268,plain,
% 0.45/0.54 (![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H))) <=> ![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[267])).
% 0.45/0.54 tff(269,plain,
% 0.45/0.54 (![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H))) <=> ![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(270,plain,
% 0.45/0.54 (^[H: $i] : rewrite((((~color(H)) | (~is_color(house_3, H))) | (~is_color(house_5, H))) <=> ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(271,plain,
% 0.45/0.54 (![H: $i] : (((~color(H)) | (~is_color(house_3, H))) | (~is_color(house_5, H))) <=> ![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.55 inference(quant_intro,[status(thm)],[270])).
% 0.45/0.55 tff(272,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_3, H))) | (~is_color(house_5, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_3_and_5_coloured_different')).
% 0.45/0.55 tff(273,plain,
% 0.45/0.55 (![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.45/0.55 tff(274,plain,
% 0.45/0.55 (![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[273, 269])).
% 0.45/0.55 tff(275,plain,(
% 0.45/0.55 ![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.55 inference(skolemize,[status(sab)],[274])).
% 0.45/0.55 tff(276,plain,
% 0.45/0.55 (![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[275, 268])).
% 0.45/0.55 tff(277,plain,
% 0.45/0.55 (((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_5, ivory)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_5, ivory)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(278,plain,
% 0.45/0.55 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_5, ivory)))),
% 0.45/0.55 inference(quant_inst,[status(thm)],[])).
% 0.45/0.55 tff(279,plain,
% 0.45/0.55 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_5, ivory))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.45/0.55 tff(280,plain,
% 0.45/0.55 ((~is_color(house_3, ivory)) | (~is_color(house_5, ivory))),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[279, 276, 194])).
% 0.45/0.55 tff(281,plain,
% 0.45/0.55 (~is_color(house_3, ivory)),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[280, 44])).
% 0.45/0.55 tff(282,plain,
% 0.45/0.55 ((~left_of(house_5, house_3)) <=> (~left_of(house_5, house_3))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(283,axiom,(~left_of(house_5, house_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_5_not_left_of_house_3')).
% 0.45/0.55 tff(284,plain,
% 0.45/0.55 (~left_of(house_5, house_3)),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.45/0.55 tff(285,plain,
% 0.45/0.55 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_5, house_3) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, green)) | (~is_color(house_5, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_3) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, green)) | (~is_color(house_5, ivory)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(286,plain,
% 0.45/0.55 (((~house(house_3)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_3, green)) | left_of(house_5, house_3)) <=> (left_of(house_5, house_3) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, green)) | (~is_color(house_5, ivory)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(287,plain,
% 0.45/0.55 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_3)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_3, green)) | left_of(house_5, house_3))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_5, house_3) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, green)) | (~is_color(house_5, ivory))))),
% 0.45/0.55 inference(monotonicity,[status(thm)],[286])).
% 0.45/0.55 tff(288,plain,
% 0.45/0.55 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_3)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_3, green)) | left_of(house_5, house_3))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_3) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, green)) | (~is_color(house_5, ivory)))),
% 0.45/0.55 inference(transitivity,[status(thm)],[287, 285])).
% 0.45/0.55 tff(289,plain,
% 0.45/0.55 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_3)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_3, green)) | left_of(house_5, house_3))),
% 0.45/0.55 inference(quant_inst,[status(thm)],[])).
% 0.45/0.55 tff(290,plain,
% 0.45/0.55 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_3) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, green)) | (~is_color(house_5, ivory))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.45/0.55 tff(291,plain,
% 0.45/0.55 ((~is_color(house_3, green)) | (~is_color(house_5, ivory))),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[290, 14, 60, 57, 284])).
% 0.45/0.55 tff(292,plain,
% 0.45/0.55 (~is_color(house_3, green)),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[291, 44])).
% 0.45/0.55 tff(293,plain,
% 0.45/0.55 (^[H: $i] : refl(((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H))) <=> ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H))))),
% 0.45/0.55 inference(bind,[status(th)],[])).
% 0.45/0.55 tff(294,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H))) <=> ![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(quant_intro,[status(thm)],[293])).
% 0.45/0.55 tff(295,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H))) <=> ![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(296,plain,
% 0.45/0.55 (^[H: $i] : rewrite((((~color(H)) | (~is_color(house_2, H))) | (~is_color(house_3, H))) <=> ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H))))),
% 0.45/0.55 inference(bind,[status(th)],[])).
% 0.45/0.55 tff(297,plain,
% 0.45/0.55 (![H: $i] : (((~color(H)) | (~is_color(house_2, H))) | (~is_color(house_3, H))) <=> ![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(quant_intro,[status(thm)],[296])).
% 0.45/0.55 tff(298,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_2, H))) | (~is_color(house_3, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_2_and_3_coloured_different')).
% 0.45/0.55 tff(299,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.45/0.55 tff(300,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[299, 295])).
% 0.45/0.55 tff(301,plain,(
% 0.45/0.55 ![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(skolemize,[status(sab)],[300])).
% 0.45/0.55 tff(302,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[301, 294])).
% 0.45/0.55 tff(303,plain,
% 0.45/0.55 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_3, blue)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_3, blue)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(304,plain,
% 0.45/0.55 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_3, blue)))),
% 0.45/0.55 inference(quant_inst,[status(thm)],[])).
% 0.45/0.55 tff(305,plain,
% 0.45/0.55 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_3, blue))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.45/0.55 tff(306,plain,
% 0.45/0.55 ((~is_color(house_2, blue)) | (~is_color(house_3, blue))),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[305, 302, 239])).
% 0.45/0.55 tff(307,plain,
% 0.45/0.55 (~is_color(house_3, blue)),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[306, 236])).
% 0.45/0.55 tff(308,plain,
% 0.45/0.55 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | (is_color(house_3, red) | (~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_3, red) | (~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(309,plain,
% 0.45/0.55 (((~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow) | is_color(house_3, red)) <=> (is_color(house_3, red) | (~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(310,plain,
% 0.45/0.55 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow) | is_color(house_3, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | (is_color(house_3, red) | (~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow)))),
% 0.45/0.55 inference(monotonicity,[status(thm)],[309])).
% 0.45/0.55 tff(311,plain,
% 0.45/0.55 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow) | is_color(house_3, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_3, red) | (~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow))),
% 0.45/0.55 inference(transitivity,[status(thm)],[310, 308])).
% 0.45/0.55 tff(312,plain,
% 0.45/0.55 ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow) | is_color(house_3, red))),
% 0.45/0.55 inference(quant_inst,[status(thm)],[])).
% 0.45/0.55 tff(313,plain,
% 0.45/0.55 ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_3, red) | (~house(house_3)) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow)),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.45/0.55 tff(314,plain,
% 0.45/0.55 (is_color(house_3, red) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, blue) | is_color(house_3, yellow)),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[313, 257, 14])).
% 0.45/0.55 tff(315,plain,
% 0.45/0.55 (is_color(house_3, red) | is_color(house_3, ivory) | is_color(house_3, green) | is_color(house_3, yellow)),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[314, 307])).
% 0.45/0.55 tff(316,plain,
% 0.45/0.55 (is_color(house_3, yellow)),
% 0.45/0.55 inference(unit_resolution,[status(thm)],[315, 292, 1, 281])).
% 0.45/0.55 tff(317,plain,
% 0.45/0.55 (color(yellow) <=> color(yellow)),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(318,axiom,(color(yellow)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','yellow')).
% 0.45/0.55 tff(319,plain,
% 0.45/0.55 (color(yellow)),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.45/0.55 tff(320,plain,
% 0.45/0.55 (^[H: $i] : refl(((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H))) <=> ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H))))),
% 0.45/0.55 inference(bind,[status(th)],[])).
% 0.45/0.55 tff(321,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(quant_intro,[status(thm)],[320])).
% 0.45/0.55 tff(322,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(323,plain,
% 0.45/0.55 (^[H: $i] : rewrite((((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_3, H))) <=> ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H))))),
% 0.45/0.55 inference(bind,[status(th)],[])).
% 0.45/0.55 tff(324,plain,
% 0.45/0.55 (![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_3, H))) <=> ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(quant_intro,[status(thm)],[323])).
% 0.45/0.55 tff(325,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_1, H))) | (~is_color(house_3, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_1_and_3_coloured_different')).
% 0.45/0.55 tff(326,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.45/0.55 tff(327,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[326, 322])).
% 0.45/0.55 tff(328,plain,(
% 0.45/0.55 ![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(skolemize,[status(sab)],[327])).
% 0.45/0.55 tff(329,plain,
% 0.45/0.55 (![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[328, 321])).
% 0.45/0.55 tff(330,plain,
% 0.45/0.55 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_3, yellow)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_3, yellow)))),
% 0.45/0.55 inference(rewrite,[status(thm)],[])).
% 0.45/0.55 tff(331,plain,
% 0.45/0.55 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_3, yellow)))),
% 0.45/0.55 inference(quant_inst,[status(thm)],[])).
% 0.45/0.55 tff(332,plain,
% 0.45/0.55 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_3, yellow))),
% 0.45/0.55 inference(modus_ponens,[status(thm)],[331, 330])).
% 0.45/0.55 tff(333,plain,
% 0.45/0.55 ((~is_color(house_1, yellow)) | (~is_color(house_3, yellow))),
% 0.45/0.56 inference(unit_resolution,[status(thm)],[332, 329, 319])).
% 0.45/0.56 tff(334,plain,
% 0.45/0.56 ($false),
% 0.45/0.56 inference(unit_resolution,[status(thm)],[333, 316, 266])).
% 0.45/0.56 tff(335,plain,((~is_color(house_5, ivory)) | is_color(house_3, red)), inference(lemma,lemma(discharge,[]))).
% 0.45/0.56 tff(336,plain,
% 0.45/0.56 (~is_color(house_5, ivory)),
% 0.45/0.56 inference(unit_resolution,[status(thm)],[335, 1])).
% 0.45/0.56 tff(337,plain,
% 0.45/0.56 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_3, red)) | (~color(red)) | (~is_color(house_1, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_3, red)) | (~color(red)) | (~is_color(house_1, red)))),
% 0.45/0.56 inference(rewrite,[status(thm)],[])).
% 0.45/0.56 tff(338,plain,
% 0.45/0.56 (((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_3, red))) <=> ((~is_color(house_3, red)) | (~color(red)) | (~is_color(house_1, red)))),
% 0.45/0.56 inference(rewrite,[status(thm)],[])).
% 0.45/0.56 tff(339,plain,
% 0.45/0.56 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_3, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_3, red)) | (~color(red)) | (~is_color(house_1, red))))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[338])).
% 0.47/0.56 tff(340,plain,
% 0.47/0.56 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_3, red)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_3, red)) | (~color(red)) | (~is_color(house_1, red)))),
% 0.47/0.56 inference(transitivity,[status(thm)],[339, 337])).
% 0.47/0.56 tff(341,plain,
% 0.47/0.56 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, red)) | (~color(red)) | (~is_color(house_3, red)))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(342,plain,
% 0.47/0.56 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_3, red)) | (~color(red)) | (~is_color(house_1, red))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[341, 340])).
% 0.47/0.56 tff(343,plain,
% 0.47/0.56 ((~is_color(house_3, red)) | (~is_color(house_1, red))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[342, 329, 75])).
% 0.47/0.56 tff(344,plain,
% 0.47/0.56 (~is_color(house_3, red)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[343, 72])).
% 0.47/0.56 tff(345,plain,
% 0.47/0.56 (lives(english, house_3)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[190, 72])).
% 0.47/0.56 tff(346,plain,
% 0.47/0.56 ($false),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[21, 345, 344])).
% 0.47/0.56 tff(347,plain,(~is_color(house_1, red)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.56 tff(348,assumption,(is_color(house_5, green)), introduced(assumption)).
% 0.47/0.56 tff(349,plain,
% 0.47/0.56 ((~left_of(house_3, house_5)) <=> (~left_of(house_3, house_5))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(350,axiom,(~left_of(house_3, house_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_3_not_left_of_house_5')).
% 0.47/0.56 tff(351,plain,
% 0.47/0.56 (~left_of(house_3, house_5)),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.47/0.56 tff(352,plain,
% 0.47/0.56 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_3, house_5) | (~is_color(house_5, green)) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_3, house_5) | (~is_color(house_5, green)) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, ivory)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(353,plain,
% 0.47/0.56 (((~house(house_5)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_5, green)) | left_of(house_3, house_5)) <=> (left_of(house_3, house_5) | (~is_color(house_5, green)) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, ivory)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(354,plain,
% 0.47/0.56 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_5)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_5, green)) | left_of(house_3, house_5))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_3, house_5) | (~is_color(house_5, green)) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, ivory))))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[353])).
% 0.47/0.56 tff(355,plain,
% 0.47/0.56 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_5)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_5, green)) | left_of(house_3, house_5))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_3, house_5) | (~is_color(house_5, green)) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, ivory)))),
% 0.47/0.56 inference(transitivity,[status(thm)],[354, 352])).
% 0.47/0.56 tff(356,plain,
% 0.47/0.56 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_5)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_5, green)) | left_of(house_3, house_5))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(357,plain,
% 0.47/0.56 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_3, house_5) | (~is_color(house_5, green)) | (~house(house_3)) | (~house(house_5)) | (~is_color(house_3, ivory))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.47/0.56 tff(358,plain,
% 0.47/0.56 ((~is_color(house_5, green)) | (~is_color(house_3, ivory))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[357, 14, 60, 57, 351])).
% 0.47/0.56 tff(359,plain,
% 0.47/0.56 (~is_color(house_3, ivory)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[358, 348])).
% 0.47/0.56 tff(360,plain,
% 0.47/0.56 (color(green) <=> color(green)),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(361,axiom,(color(green)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','green')).
% 0.47/0.56 tff(362,plain,
% 0.47/0.56 (color(green)),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.47/0.56 tff(363,plain,
% 0.47/0.56 (((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(green)) | (~is_color(house_3, green)) | (~is_color(house_5, green)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(green)) | (~is_color(house_3, green)) | (~is_color(house_5, green)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(364,plain,
% 0.47/0.56 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(green)) | (~is_color(house_3, green)) | (~is_color(house_5, green)))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(365,plain,
% 0.47/0.56 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(green)) | (~is_color(house_3, green)) | (~is_color(house_5, green))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.47/0.56 tff(366,plain,
% 0.47/0.56 ((~is_color(house_3, green)) | (~is_color(house_5, green))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[365, 276, 362])).
% 0.47/0.56 tff(367,plain,
% 0.47/0.56 (~is_color(house_3, green)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[366, 348])).
% 0.47/0.56 tff(368,plain,
% 0.47/0.56 (is_color(house_3, yellow)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[315, 367, 1, 359])).
% 0.47/0.56 tff(369,assumption,(is_color(house_1, green)), introduced(assumption)).
% 0.47/0.56 tff(370,plain,
% 0.47/0.56 ((~left_of(house_4, house_1)) <=> (~left_of(house_4, house_1))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(371,axiom,(~left_of(house_4, house_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_4_not_left_of_house_1')).
% 0.47/0.56 tff(372,plain,
% 0.47/0.56 (~left_of(house_4, house_1)),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.47/0.56 tff(373,plain,
% 0.47/0.56 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_4, house_1) | (~is_color(house_4, ivory)) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_1, green)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_4, house_1) | (~is_color(house_4, ivory)) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_1, green)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(374,plain,
% 0.47/0.56 (((~house(house_1)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_1, green)) | left_of(house_4, house_1)) <=> (left_of(house_4, house_1) | (~is_color(house_4, ivory)) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_1, green)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(375,plain,
% 0.47/0.56 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_1, green)) | left_of(house_4, house_1))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_4, house_1) | (~is_color(house_4, ivory)) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_1, green))))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[374])).
% 0.47/0.56 tff(376,plain,
% 0.47/0.56 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_1, green)) | left_of(house_4, house_1))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_4, house_1) | (~is_color(house_4, ivory)) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_1, green)))),
% 0.47/0.56 inference(transitivity,[status(thm)],[375, 373])).
% 0.47/0.56 tff(377,plain,
% 0.47/0.56 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_1, green)) | left_of(house_4, house_1))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(378,plain,
% 0.47/0.56 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_4, house_1) | (~is_color(house_4, ivory)) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_1, green))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[377, 376])).
% 0.47/0.56 tff(379,plain,
% 0.47/0.56 ((~is_color(house_4, ivory)) | (~is_color(house_1, green))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[378, 63, 96, 57, 372])).
% 0.47/0.56 tff(380,plain,
% 0.47/0.56 (~is_color(house_4, ivory)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[379, 369])).
% 0.47/0.56 tff(381,plain,
% 0.47/0.56 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_1, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_1, green)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(382,plain,
% 0.47/0.56 (((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_4, green))) <=> ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_1, green)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(383,plain,
% 0.47/0.56 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_4, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_1, green))))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[382])).
% 0.47/0.56 tff(384,plain,
% 0.47/0.56 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_4, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_1, green)))),
% 0.47/0.56 inference(transitivity,[status(thm)],[383, 381])).
% 0.47/0.56 tff(385,plain,
% 0.47/0.56 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_4, green)))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(386,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_1, green))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[385, 384])).
% 0.47/0.57 tff(387,plain,
% 0.47/0.57 ((~is_color(house_4, green)) | (~is_color(house_1, green))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[386, 85, 362])).
% 0.47/0.57 tff(388,plain,
% 0.47/0.57 (~is_color(house_4, green)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[387, 369])).
% 0.47/0.57 tff(389,assumption,(is_color(house_5, yellow)), introduced(assumption)).
% 0.47/0.57 tff(390,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_5, yellow)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_5, yellow)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(391,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_5, yellow)))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(392,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_5, yellow))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[391, 390])).
% 0.47/0.57 tff(393,plain,
% 0.47/0.57 ((~is_color(house_1, yellow)) | (~is_color(house_5, yellow))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[392, 112, 319])).
% 0.47/0.57 tff(394,plain,
% 0.47/0.57 (~is_color(house_1, yellow)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[393, 389])).
% 0.47/0.57 tff(395,plain,
% 0.47/0.57 (((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(yellow)) | (~is_color(house_3, yellow)) | (~is_color(house_5, yellow)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(yellow)) | (~is_color(house_3, yellow)) | (~is_color(house_5, yellow)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(396,plain,
% 0.47/0.57 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(yellow)) | (~is_color(house_3, yellow)) | (~is_color(house_5, yellow)))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(397,plain,
% 0.47/0.57 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(yellow)) | (~is_color(house_3, yellow)) | (~is_color(house_5, yellow))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[396, 395])).
% 0.47/0.57 tff(398,plain,
% 0.47/0.57 ((~is_color(house_3, yellow)) | (~is_color(house_5, yellow))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[397, 276, 319])).
% 0.47/0.57 tff(399,plain,
% 0.47/0.57 (~is_color(house_3, yellow)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[398, 389])).
% 0.47/0.57 tff(400,assumption,(~is_color(house_1, yellow)), introduced(assumption)).
% 0.47/0.57 tff(401,assumption,(~is_color(house_1, red)), introduced(assumption)).
% 0.47/0.57 tff(402,assumption,(is_color(house_3, green)), introduced(assumption)).
% 0.47/0.57 tff(403,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~color(green)) | (~is_color(house_3, green)) | (~is_color(house_1, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~color(green)) | (~is_color(house_3, green)) | (~is_color(house_1, green)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(404,plain,
% 0.47/0.57 (((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_3, green))) <=> ((~color(green)) | (~is_color(house_3, green)) | (~is_color(house_1, green)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(405,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_3, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~color(green)) | (~is_color(house_3, green)) | (~is_color(house_1, green))))),
% 0.47/0.57 inference(monotonicity,[status(thm)],[404])).
% 0.47/0.57 tff(406,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_3, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~color(green)) | (~is_color(house_3, green)) | (~is_color(house_1, green)))),
% 0.47/0.57 inference(transitivity,[status(thm)],[405, 403])).
% 0.47/0.57 tff(407,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_3, green)))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(408,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~color(green)) | (~is_color(house_3, green)) | (~is_color(house_1, green))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[407, 406])).
% 0.47/0.57 tff(409,plain,
% 0.47/0.57 ((~is_color(house_3, green)) | (~is_color(house_1, green))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[408, 329, 362])).
% 0.47/0.57 tff(410,plain,
% 0.47/0.57 (~is_color(house_1, green)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[409, 402])).
% 0.47/0.57 tff(411,plain,
% 0.47/0.57 ((~left_of(house_1, house_3)) <=> (~left_of(house_1, house_3))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(412,axiom,(~left_of(house_1, house_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_1_not_left_of_house_3')).
% 0.47/0.57 tff(413,plain,
% 0.47/0.57 (~left_of(house_1, house_3)),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.47/0.57 tff(414,plain,
% 0.47/0.57 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_1, house_3) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_3, green)) | (~is_color(house_1, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_3) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_3, green)) | (~is_color(house_1, ivory)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(415,plain,
% 0.47/0.57 (((~house(house_3)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_3, green)) | left_of(house_1, house_3)) <=> (left_of(house_1, house_3) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_3, green)) | (~is_color(house_1, ivory)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(416,plain,
% 0.47/0.57 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_3)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_3, green)) | left_of(house_1, house_3))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_1, house_3) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_3, green)) | (~is_color(house_1, ivory))))),
% 0.47/0.57 inference(monotonicity,[status(thm)],[415])).
% 0.47/0.57 tff(417,plain,
% 0.47/0.57 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_3)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_3, green)) | left_of(house_1, house_3))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_3) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_3, green)) | (~is_color(house_1, ivory)))),
% 0.47/0.57 inference(transitivity,[status(thm)],[416, 414])).
% 0.47/0.57 tff(418,plain,
% 0.47/0.57 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_3)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_3, green)) | left_of(house_1, house_3))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(419,plain,
% 0.47/0.57 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_3) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_3, green)) | (~is_color(house_1, ivory))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[418, 417])).
% 0.47/0.57 tff(420,plain,
% 0.47/0.57 ((~is_color(house_3, green)) | (~is_color(house_1, ivory))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[419, 63, 14, 57, 413])).
% 0.47/0.57 tff(421,plain,
% 0.47/0.57 (~is_color(house_1, ivory)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[420, 402])).
% 0.47/0.57 tff(422,plain,
% 0.47/0.57 ($false),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[265, 421, 410, 401, 400])).
% 0.47/0.57 tff(423,plain,((~is_color(house_3, green)) | is_color(house_1, red) | is_color(house_1, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.57 tff(424,plain,
% 0.47/0.57 (~is_color(house_3, green)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[423, 394, 191])).
% 0.47/0.57 tff(425,plain,
% 0.47/0.57 (is_color(house_3, ivory)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[315, 424, 1, 399])).
% 0.47/0.57 tff(426,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_1, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_1, ivory)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(427,plain,
% 0.47/0.57 (((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_3, ivory))) <=> ((~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_1, ivory)))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(428,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_3, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_1, ivory))))),
% 0.47/0.57 inference(monotonicity,[status(thm)],[427])).
% 0.47/0.57 tff(429,plain,
% 0.47/0.57 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_3, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_1, ivory)))),
% 0.47/0.57 inference(transitivity,[status(thm)],[428, 426])).
% 0.47/0.57 tff(430,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_3, ivory)))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(431,plain,
% 0.47/0.57 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~color(ivory)) | (~is_color(house_3, ivory)) | (~is_color(house_1, ivory))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[430, 429])).
% 0.47/0.57 tff(432,plain,
% 0.47/0.57 ((~is_color(house_3, ivory)) | (~is_color(house_1, ivory))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[431, 329, 194])).
% 0.47/0.57 tff(433,plain,
% 0.47/0.57 (~is_color(house_1, ivory)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[432, 425])).
% 0.47/0.57 tff(434,plain,
% 0.47/0.57 ((~left_of(house_3, house_1)) <=> (~left_of(house_3, house_1))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(435,axiom,(~left_of(house_3, house_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_3_not_left_of_house_1')).
% 0.47/0.57 tff(436,plain,
% 0.47/0.57 (~left_of(house_3, house_1)),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.47/0.57 tff(437,plain,
% 0.47/0.57 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_3, house_1) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_1, green)) | (~is_color(house_3, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_3, house_1) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_1, green)) | (~is_color(house_3, ivory)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(438,plain,
% 0.47/0.58 (((~house(house_1)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_1, green)) | left_of(house_3, house_1)) <=> (left_of(house_3, house_1) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_1, green)) | (~is_color(house_3, ivory)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(439,plain,
% 0.47/0.58 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_1, green)) | left_of(house_3, house_1))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_3, house_1) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_1, green)) | (~is_color(house_3, ivory))))),
% 0.47/0.58 inference(monotonicity,[status(thm)],[438])).
% 0.47/0.58 tff(440,plain,
% 0.47/0.58 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_1, green)) | left_of(house_3, house_1))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_3, house_1) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_1, green)) | (~is_color(house_3, ivory)))),
% 0.47/0.58 inference(transitivity,[status(thm)],[439, 437])).
% 0.47/0.58 tff(441,plain,
% 0.47/0.58 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_1)) | (~house(house_3)) | (~is_color(house_3, ivory)) | (~is_color(house_1, green)) | left_of(house_3, house_1))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(442,plain,
% 0.47/0.58 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_3, house_1) | (~house(house_1)) | (~house(house_3)) | (~is_color(house_1, green)) | (~is_color(house_3, ivory))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[441, 440])).
% 0.47/0.58 tff(443,plain,
% 0.47/0.58 ((~is_color(house_1, green)) | (~is_color(house_3, ivory))),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[442, 63, 14, 57, 436])).
% 0.47/0.58 tff(444,plain,
% 0.47/0.58 (~is_color(house_1, green)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[443, 425])).
% 0.47/0.58 tff(445,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[265, 444, 433, 191, 394])).
% 0.47/0.58 tff(446,plain,((~is_color(house_5, yellow)) | is_color(house_3, red)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.58 tff(447,plain,
% 0.47/0.58 (~is_color(house_5, yellow)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[446, 1])).
% 0.47/0.58 tff(448,plain,
% 0.47/0.58 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_5, green)) | (~color(green)) | (~is_color(house_1, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~is_color(house_5, green)) | (~color(green)) | (~is_color(house_1, green)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(449,plain,
% 0.47/0.58 (((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_5, green))) <=> ((~is_color(house_5, green)) | (~color(green)) | (~is_color(house_1, green)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(450,plain,
% 0.47/0.58 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_5, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_5, green)) | (~color(green)) | (~is_color(house_1, green))))),
% 0.47/0.58 inference(monotonicity,[status(thm)],[449])).
% 0.47/0.58 tff(451,plain,
% 0.47/0.58 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_5, green)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~is_color(house_5, green)) | (~color(green)) | (~is_color(house_1, green)))),
% 0.47/0.58 inference(transitivity,[status(thm)],[450, 448])).
% 0.47/0.58 tff(452,plain,
% 0.47/0.58 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_1, green)) | (~color(green)) | (~is_color(house_5, green)))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(453,plain,
% 0.47/0.58 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~is_color(house_5, green)) | (~color(green)) | (~is_color(house_1, green))),
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% 0.47/0.59 tff(518,axiom,(![H: $i] : (((~color(H)) | (~is_color(house_2, H))) | (~is_color(house_4, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','houses_2_and_4_coloured_different')).
% 0.47/0.59 tff(519,plain,
% 0.47/0.59 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[518, 517])).
% 0.47/0.59 tff(520,plain,
% 0.47/0.59 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[519, 515])).
% 0.47/0.59 tff(521,plain,(
% 0.47/0.59 ![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.47/0.59 inference(skolemize,[status(sab)],[520])).
% 0.47/0.59 tff(522,plain,
% 0.47/0.59 (![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[521, 514])).
% 0.47/0.59 tff(523,plain,
% 0.47/0.59 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_4, blue)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_4, blue)))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(524,plain,
% 0.47/0.59 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_4, blue)))),
% 0.47/0.59 inference(quant_inst,[status(thm)],[])).
% 0.47/0.59 tff(525,plain,
% 0.47/0.59 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_2, blue)) | (~color(blue)) | (~is_color(house_4, blue))),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.47/0.59 tff(526,plain,
% 0.47/0.59 ((~is_color(house_2, blue)) | (~is_color(house_4, blue))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[525, 522, 239])).
% 0.47/0.59 tff(527,plain,
% 0.47/0.59 (~is_color(house_4, blue)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[526, 236])).
% 0.47/0.59 tff(528,plain,
% 0.47/0.59 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | (is_color(house_4, ivory) | (~house(house_4)) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_4, ivory) | (~house(house_4)) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(529,plain,
% 0.47/0.59 (((~house(house_4)) | is_color(house_4, ivory) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow) | is_color(house_4, red)) <=> (is_color(house_4, ivory) | (~house(house_4)) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(530,plain,
% 0.47/0.59 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_4)) | is_color(house_4, ivory) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow) | is_color(house_4, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | (is_color(house_4, ivory) | (~house(house_4)) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow)))),
% 0.47/0.59 inference(monotonicity,[status(thm)],[529])).
% 0.47/0.59 tff(531,plain,
% 0.47/0.59 (((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_4)) | is_color(house_4, ivory) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow) | is_color(house_4, red))) <=> ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_4, ivory) | (~house(house_4)) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow))),
% 0.47/0.59 inference(transitivity,[status(thm)],[530, 528])).
% 0.47/0.59 tff(532,plain,
% 0.47/0.59 ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | ((~house(house_4)) | is_color(house_4, ivory) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow) | is_color(house_4, red))),
% 0.47/0.59 inference(quant_inst,[status(thm)],[])).
% 0.47/0.59 tff(533,plain,
% 0.47/0.59 ((~![H: $i] : ((~house(H)) | is_color(H, ivory) | is_color(H, green) | is_color(H, blue) | is_color(H, yellow) | is_color(H, red))) | is_color(house_4, ivory) | (~house(house_4)) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow)),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[532, 531])).
% 0.47/0.59 tff(534,plain,
% 0.47/0.59 (is_color(house_4, ivory) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, blue) | is_color(house_4, yellow)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[533, 257, 96])).
% 0.47/0.59 tff(535,plain,
% 0.47/0.59 (is_color(house_4, ivory) | is_color(house_4, red) | is_color(house_4, green) | is_color(house_4, yellow)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[534, 527])).
% 0.47/0.59 tff(536,plain,
% 0.47/0.59 ($false),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[535, 512, 494, 388, 380])).
% 0.47/0.59 tff(537,plain,((~is_color(house_1, green)) | is_color(house_3, red)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.59 tff(538,plain,
% 0.47/0.59 (~is_color(house_1, green)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[537, 1])).
% 0.47/0.59 tff(539,plain,
% 0.47/0.59 ((~left_of(house_1, house_5)) <=> (~left_of(house_1, house_5))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(540,axiom,(~left_of(house_1, house_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_1_not_left_of_house_5')).
% 0.47/0.59 tff(541,plain,
% 0.47/0.59 (~left_of(house_1, house_5)),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[540, 539])).
% 0.47/0.59 tff(542,plain,
% 0.47/0.59 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_1, house_5) | (~is_color(house_5, green)) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_5) | (~is_color(house_5, green)) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, ivory)))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(543,plain,
% 0.47/0.59 (((~house(house_5)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_5, green)) | left_of(house_1, house_5)) <=> (left_of(house_1, house_5) | (~is_color(house_5, green)) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, ivory)))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(544,plain,
% 0.47/0.59 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_5)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_5, green)) | left_of(house_1, house_5))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_1, house_5) | (~is_color(house_5, green)) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, ivory))))),
% 0.47/0.59 inference(monotonicity,[status(thm)],[543])).
% 0.47/0.59 tff(545,plain,
% 0.47/0.59 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_5)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_5, green)) | left_of(house_1, house_5))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_5) | (~is_color(house_5, green)) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, ivory)))),
% 0.47/0.59 inference(transitivity,[status(thm)],[544, 542])).
% 0.47/0.59 tff(546,plain,
% 0.47/0.59 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_5)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_5, green)) | left_of(house_1, house_5))),
% 0.47/0.59 inference(quant_inst,[status(thm)],[])).
% 0.47/0.59 tff(547,plain,
% 0.47/0.59 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_5) | (~is_color(house_5, green)) | (~house(house_1)) | (~house(house_5)) | (~is_color(house_1, ivory))),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.47/0.59 tff(548,plain,
% 0.47/0.59 ((~is_color(house_5, green)) | (~is_color(house_1, ivory))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[547, 63, 60, 57, 541])).
% 0.47/0.59 tff(549,plain,
% 0.47/0.59 (~is_color(house_1, ivory)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[548, 348])).
% 0.47/0.59 tff(550,plain,
% 0.47/0.59 (is_color(house_1, yellow)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[265, 549, 401, 538])).
% 0.47/0.59 tff(551,plain,
% 0.47/0.59 ($false),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[333, 550, 368])).
% 0.47/0.59 tff(552,plain,((~is_color(house_5, green)) | is_color(house_1, red) | is_color(house_3, red)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.60 tff(553,plain,
% 0.47/0.60 ((~is_color(house_5, green)) | is_color(house_3, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[552, 347])).
% 0.47/0.60 tff(554,plain,
% 0.47/0.60 (~is_color(house_5, green)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[553, 1])).
% 0.47/0.60 tff(555,plain,
% 0.47/0.60 (is_color(house_5, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[478, 447, 554, 336])).
% 0.47/0.60 tff(556,plain,
% 0.47/0.60 (~is_color(house_4, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[493, 555])).
% 0.47/0.60 tff(557,plain,
% 0.47/0.60 (~lives(english, house_4)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[100, 556])).
% 0.47/0.60 tff(558,plain,
% 0.47/0.60 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~color(red)) | (~is_color(house_5, red)) | (~is_color(house_2, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_5, red)) | (~is_color(house_2, red)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(559,plain,
% 0.47/0.60 (((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_5, red))) <=> ((~color(red)) | (~is_color(house_5, red)) | (~is_color(house_2, red)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(560,plain,
% 0.47/0.60 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_5, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~color(red)) | (~is_color(house_5, red)) | (~is_color(house_2, red))))),
% 0.47/0.60 inference(monotonicity,[status(thm)],[559])).
% 0.47/0.60 tff(561,plain,
% 0.47/0.60 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_5, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_5, red)) | (~is_color(house_2, red)))),
% 0.47/0.60 inference(transitivity,[status(thm)],[560, 558])).
% 0.47/0.60 tff(562,plain,
% 0.47/0.60 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | ((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_5, red)))),
% 0.47/0.60 inference(quant_inst,[status(thm)],[])).
% 0.47/0.60 tff(563,plain,
% 0.47/0.60 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_5, red)) | (~is_color(house_2, red))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[562, 561])).
% 0.47/0.60 tff(564,plain,
% 0.47/0.60 ((~is_color(house_5, red)) | (~is_color(house_2, red))),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[563, 465, 75])).
% 0.47/0.60 tff(565,plain,
% 0.47/0.60 (~is_color(house_2, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[564, 555])).
% 0.47/0.60 tff(566,plain,
% 0.47/0.60 (~lives(english, house_2)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[150, 565])).
% 0.47/0.60 tff(567,plain,
% 0.47/0.60 (lives(english, house_5)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[188, 566, 22, 557])).
% 0.47/0.60 tff(568,plain,
% 0.47/0.60 (^[P: $i, H: $i] : refl(((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee))) <=> ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee))))),
% 0.47/0.60 inference(bind,[status(th)],[])).
% 0.47/0.60 tff(569,plain,
% 0.47/0.60 (![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee))) <=> ![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(quant_intro,[status(thm)],[568])).
% 0.47/0.60 tff(570,plain,
% 0.47/0.60 (![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee))) <=> ![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(571,plain,
% 0.47/0.60 (^[P: $i, H: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((is_color(H, green) | (~person(P))) <=> (is_color(H, green) | (~person(P)))), (((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) <=> ((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))))), rewrite(((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) <=> (is_color(H, green) | (~person(P)) | (~drinks(P, coffee)))), (((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) <=> (is_color(H, green) | (~person(P)) | (~drinks(P, coffee))))), ((((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) | (~house(H))) <=> ((is_color(H, green) | (~person(P)) | (~drinks(P, coffee))) | (~house(H))))), rewrite(((is_color(H, green) | (~person(P)) | (~drinks(P, coffee))) | (~house(H))) <=> ((~house(H)) | is_color(H, green) | (~person(P)) | (~drinks(P, coffee)))), ((((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) | (~house(H))) <=> ((~house(H)) | is_color(H, green) | (~person(P)) | (~drinks(P, coffee))))), (((((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) | (~house(H))) | (~lives(P, H))) <=> (((~house(H)) | is_color(H, green) | (~person(P)) | (~drinks(P, coffee))) | (~lives(P, H))))), rewrite((((~house(H)) | is_color(H, green) | (~person(P)) | (~drinks(P, coffee))) | (~lives(P, H))) <=> ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))), (((((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) | (~house(H))) | (~lives(P, H))) <=> ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))))),
% 0.47/0.60 inference(bind,[status(th)],[])).
% 0.47/0.60 tff(572,plain,
% 0.47/0.60 (![P: $i, H: $i] : ((((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) | (~house(H))) | (~lives(P, H))) <=> ![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(quant_intro,[status(thm)],[571])).
% 0.47/0.60 tff(573,axiom,(![P: $i, H: $i] : ((((is_color(H, green) | (~person(P))) | (~drinks(P, coffee))) | (~house(H))) | (~lives(P, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','coffee_in_green_house')).
% 0.47/0.60 tff(574,plain,
% 0.47/0.60 (![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[573, 572])).
% 0.47/0.60 tff(575,plain,
% 0.47/0.60 (![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[574, 570])).
% 0.47/0.60 tff(576,plain,(
% 0.47/0.60 ![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(skolemize,[status(sab)],[575])).
% 0.47/0.60 tff(577,plain,
% 0.47/0.60 (![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[576, 569])).
% 0.47/0.60 tff(578,plain,
% 0.47/0.60 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (is_color(house_5, green) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~drinks(english, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | is_color(house_5, green) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~drinks(english, coffee)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(579,plain,
% 0.47/0.60 (((~house(house_5)) | is_color(house_5, green) | (~lives(english, house_5)) | (~person(english)) | (~drinks(english, coffee))) <=> (is_color(house_5, green) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~drinks(english, coffee)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(580,plain,
% 0.47/0.60 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_5)) | is_color(house_5, green) | (~lives(english, house_5)) | (~person(english)) | (~drinks(english, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (is_color(house_5, green) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~drinks(english, coffee))))),
% 0.47/0.60 inference(monotonicity,[status(thm)],[579])).
% 0.47/0.60 tff(581,plain,
% 0.47/0.60 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_5)) | is_color(house_5, green) | (~lives(english, house_5)) | (~person(english)) | (~drinks(english, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | is_color(house_5, green) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~drinks(english, coffee)))),
% 0.47/0.60 inference(transitivity,[status(thm)],[580, 578])).
% 0.47/0.60 tff(582,plain,
% 0.47/0.60 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_5)) | is_color(house_5, green) | (~lives(english, house_5)) | (~person(english)) | (~drinks(english, coffee)))),
% 0.47/0.60 inference(quant_inst,[status(thm)],[])).
% 0.47/0.60 tff(583,plain,
% 0.47/0.60 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | is_color(house_5, green) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~drinks(english, coffee))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[582, 581])).
% 0.47/0.60 tff(584,plain,
% 0.47/0.60 (~drinks(english, coffee)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[583, 35, 60, 577, 554, 567])).
% 0.47/0.60 tff(585,plain,
% 0.47/0.60 (~is_color(house_5, ivory)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[70, 369])).
% 0.47/0.60 tff(586,plain,
% 0.47/0.60 (is_color(house_3, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[537, 369])).
% 0.47/0.60 tff(587,plain,
% 0.47/0.60 (((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(red)) | (~is_color(house_3, red)) | (~is_color(house_5, red)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_3, red)) | (~is_color(house_5, red)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(588,plain,
% 0.47/0.60 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | ((~color(red)) | (~is_color(house_3, red)) | (~is_color(house_5, red)))),
% 0.47/0.60 inference(quant_inst,[status(thm)],[])).
% 0.47/0.60 tff(589,plain,
% 0.47/0.60 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_5, H)))) | (~color(red)) | (~is_color(house_3, red)) | (~is_color(house_5, red))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[588, 587])).
% 0.47/0.60 tff(590,plain,
% 0.47/0.60 ((~is_color(house_3, red)) | (~is_color(house_5, red))),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[589, 276, 75])).
% 0.47/0.60 tff(591,plain,
% 0.47/0.60 (~is_color(house_5, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[590, 586])).
% 0.47/0.60 tff(592,plain,
% 0.47/0.60 (is_color(house_5, yellow)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[478, 591, 455, 585])).
% 0.47/0.60 tff(593,plain,
% 0.47/0.60 (((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_4, H)))) | ((~color(red)) | (~is_color(house_3, red)) | (~is_color(house_4, red)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_4, H)))) | (~color(red)) | (~is_color(house_3, red)) | (~is_color(house_4, red)))),
% 0.47/0.60 inference(rewrite,[status(thm)],[])).
% 0.47/0.60 tff(594,plain,
% 0.47/0.60 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_4, H)))) | ((~color(red)) | (~is_color(house_3, red)) | (~is_color(house_4, red)))),
% 0.47/0.60 inference(quant_inst,[status(thm)],[])).
% 0.47/0.60 tff(595,plain,
% 0.47/0.60 ((~![H: $i] : ((~color(H)) | (~is_color(house_3, H)) | (~is_color(house_4, H)))) | (~color(red)) | (~is_color(house_3, red)) | (~is_color(house_4, red))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[594, 593])).
% 0.47/0.60 tff(596,plain,
% 0.47/0.60 ((~is_color(house_3, red)) | (~is_color(house_4, red))),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[595, 507, 75])).
% 0.47/0.60 tff(597,plain,
% 0.47/0.60 (~is_color(house_4, red)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[596, 586])).
% 0.47/0.60 tff(598,plain,
% 0.47/0.60 (is_color(house_4, yellow)),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[535, 597, 388, 380])).
% 0.47/0.60 tff(599,plain,
% 0.47/0.60 (((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | ((~color(yellow)) | (~is_color(house_4, yellow)) | (~is_color(house_5, yellow)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | (~color(yellow)) | (~is_color(house_4, yellow)) | (~is_color(house_5, yellow)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(600,plain,
% 0.47/0.61 ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | ((~color(yellow)) | (~is_color(house_4, yellow)) | (~is_color(house_5, yellow)))),
% 0.47/0.61 inference(quant_inst,[status(thm)],[])).
% 0.47/0.61 tff(601,plain,
% 0.47/0.61 ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | (~color(yellow)) | (~is_color(house_4, yellow)) | (~is_color(house_5, yellow))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[600, 599])).
% 0.47/0.61 tff(602,plain,
% 0.47/0.61 ((~is_color(house_4, yellow)) | (~is_color(house_5, yellow))),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[601, 489, 319])).
% 0.47/0.61 tff(603,plain,
% 0.47/0.61 ($false),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[602, 598, 592])).
% 0.47/0.61 tff(604,plain,(~is_color(house_1, green)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.61 tff(605,plain,
% 0.47/0.61 (person(norwegian) <=> person(norwegian)),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(606,axiom,(person(norwegian)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian')).
% 0.47/0.61 tff(607,plain,
% 0.47/0.61 (person(norwegian)),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[606, 605])).
% 0.47/0.61 tff(608,plain,
% 0.47/0.61 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | is_color(house_1, green) | (~person(norwegian)) | (~drinks(norwegian, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | is_color(house_1, green) | (~person(norwegian)) | (~drinks(norwegian, coffee)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(609,plain,
% 0.47/0.61 (((~house(house_1)) | is_color(house_1, green) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~drinks(norwegian, coffee))) <=> ((~lives(norwegian, house_1)) | (~house(house_1)) | is_color(house_1, green) | (~person(norwegian)) | (~drinks(norwegian, coffee)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(610,plain,
% 0.47/0.61 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_1)) | is_color(house_1, green) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~drinks(norwegian, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | is_color(house_1, green) | (~person(norwegian)) | (~drinks(norwegian, coffee))))),
% 0.47/0.61 inference(monotonicity,[status(thm)],[609])).
% 0.47/0.61 tff(611,plain,
% 0.47/0.61 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_1)) | is_color(house_1, green) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~drinks(norwegian, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | is_color(house_1, green) | (~person(norwegian)) | (~drinks(norwegian, coffee)))),
% 0.47/0.61 inference(transitivity,[status(thm)],[610, 608])).
% 0.47/0.61 tff(612,plain,
% 0.47/0.61 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_1)) | is_color(house_1, green) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~drinks(norwegian, coffee)))),
% 0.47/0.61 inference(quant_inst,[status(thm)],[])).
% 0.47/0.61 tff(613,plain,
% 0.47/0.61 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | is_color(house_1, green) | (~person(norwegian)) | (~drinks(norwegian, coffee))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[612, 611])).
% 0.47/0.61 tff(614,plain,
% 0.47/0.61 (is_color(house_1, green) | (~drinks(norwegian, coffee))),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[613, 607, 63, 154, 577])).
% 0.47/0.61 tff(615,plain,
% 0.47/0.61 (~drinks(norwegian, coffee)),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[614, 604])).
% 0.47/0.61 tff(616,assumption,(~drinks(norwegian, coffee)), introduced(assumption)).
% 0.47/0.61 tff(617,assumption,(drinks(spaniard, water)), introduced(assumption)).
% 0.47/0.61 tff(618,plain,
% 0.47/0.61 (drink(water) <=> drink(water)),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(619,axiom,(drink(water)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','water')).
% 0.47/0.61 tff(620,plain,
% 0.47/0.61 (drink(water)),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.47/0.61 tff(621,plain,
% 0.47/0.61 (^[H: $i] : refl(((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H))) <=> ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H))))),
% 0.47/0.61 inference(bind,[status(th)],[])).
% 0.47/0.61 tff(622,plain,
% 0.47/0.61 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(quant_intro,[status(thm)],[621])).
% 0.47/0.61 tff(623,plain,
% 0.47/0.61 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(624,plain,
% 0.47/0.61 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(norwegian, H))) <=> ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H))))),
% 0.47/0.61 inference(bind,[status(th)],[])).
% 0.47/0.61 tff(625,plain,
% 0.47/0.61 (![H: $i] : (((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(norwegian, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(quant_intro,[status(thm)],[624])).
% 0.47/0.61 tff(626,axiom,(![H: $i] : (((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_norwegian_drink_different')).
% 0.47/0.61 tff(627,plain,
% 0.47/0.61 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[626, 625])).
% 0.47/0.61 tff(628,plain,
% 0.47/0.61 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[627, 623])).
% 0.47/0.61 tff(629,plain,(
% 0.47/0.61 ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(skolemize,[status(sab)],[628])).
% 0.47/0.61 tff(630,plain,
% 0.47/0.61 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[629, 622])).
% 0.47/0.61 tff(631,plain,
% 0.47/0.61 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(spaniard, water)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(spaniard, water)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(632,plain,
% 0.47/0.61 (((~drinks(spaniard, water)) | (~drink(water)) | (~drinks(norwegian, water))) <=> ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(spaniard, water)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(633,plain,
% 0.47/0.61 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(spaniard, water)) | (~drink(water)) | (~drinks(norwegian, water)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(spaniard, water))))),
% 0.47/0.61 inference(monotonicity,[status(thm)],[632])).
% 0.47/0.61 tff(634,plain,
% 0.47/0.61 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(spaniard, water)) | (~drink(water)) | (~drinks(norwegian, water)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(spaniard, water)))),
% 0.47/0.61 inference(transitivity,[status(thm)],[633, 631])).
% 0.47/0.61 tff(635,plain,
% 0.47/0.61 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(spaniard, water)) | (~drink(water)) | (~drinks(norwegian, water)))),
% 0.47/0.61 inference(quant_inst,[status(thm)],[])).
% 0.47/0.61 tff(636,plain,
% 0.47/0.61 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(spaniard, water))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[635, 634])).
% 0.47/0.61 tff(637,plain,
% 0.47/0.61 ((~drinks(norwegian, water)) | (~drinks(spaniard, water))),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[636, 630, 620])).
% 0.47/0.61 tff(638,plain,
% 0.47/0.61 (~drinks(norwegian, water)),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[637, 617])).
% 0.47/0.61 tff(639,plain,
% 0.47/0.61 (drinks(ukranian, tea) <=> drinks(ukranian, tea)),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(640,axiom,(drinks(ukranian, tea)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ukranian_drinks_tea')).
% 0.47/0.61 tff(641,plain,
% 0.47/0.61 (drinks(ukranian, tea)),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[640, 639])).
% 0.47/0.61 tff(642,plain,
% 0.47/0.61 (drink(tea) <=> drink(tea)),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(643,axiom,(drink(tea)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','tea')).
% 0.47/0.61 tff(644,plain,
% 0.47/0.61 (drink(tea)),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[643, 642])).
% 0.47/0.61 tff(645,plain,
% 0.47/0.61 (^[H: $i] : refl(((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H))) <=> ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H))))),
% 0.47/0.61 inference(bind,[status(th)],[])).
% 0.47/0.61 tff(646,plain,
% 0.47/0.61 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(quant_intro,[status(thm)],[645])).
% 0.47/0.61 tff(647,plain,
% 0.47/0.61 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(648,plain,
% 0.47/0.61 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(norwegian, H))) | (~drinks(ukranian, H))) <=> ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H))))),
% 0.47/0.61 inference(bind,[status(th)],[])).
% 0.47/0.61 tff(649,plain,
% 0.47/0.61 (![H: $i] : (((~drink(H)) | (~drinks(norwegian, H))) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(quant_intro,[status(thm)],[648])).
% 0.47/0.61 tff(650,axiom,(![H: $i] : (((~drink(H)) | (~drinks(norwegian, H))) | (~drinks(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_ukranian_drink_different')).
% 0.47/0.61 tff(651,plain,
% 0.47/0.61 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[650, 649])).
% 0.47/0.61 tff(652,plain,
% 0.47/0.61 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[651, 647])).
% 0.47/0.61 tff(653,plain,(
% 0.47/0.61 ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(skolemize,[status(sab)],[652])).
% 0.47/0.61 tff(654,plain,
% 0.47/0.61 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[653, 646])).
% 0.47/0.61 tff(655,plain,
% 0.47/0.61 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | ((~drink(tea)) | (~drinks(norwegian, tea)) | (~drinks(ukranian, tea)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | (~drink(tea)) | (~drinks(norwegian, tea)) | (~drinks(ukranian, tea)))),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(656,plain,
% 0.47/0.61 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | ((~drink(tea)) | (~drinks(norwegian, tea)) | (~drinks(ukranian, tea)))),
% 0.47/0.61 inference(quant_inst,[status(thm)],[])).
% 0.47/0.61 tff(657,plain,
% 0.47/0.61 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | (~drink(tea)) | (~drinks(norwegian, tea)) | (~drinks(ukranian, tea))),
% 0.47/0.61 inference(modus_ponens,[status(thm)],[656, 655])).
% 0.47/0.61 tff(658,plain,
% 0.47/0.61 (~drinks(norwegian, tea)),
% 0.47/0.61 inference(unit_resolution,[status(thm)],[657, 654, 644, 641])).
% 0.47/0.61 tff(659,plain,
% 0.47/0.61 (left_of(house_3, house_4) <=> left_of(house_3, house_4)),
% 0.47/0.61 inference(rewrite,[status(thm)],[])).
% 0.47/0.61 tff(660,axiom,(left_of(house_3, house_4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_3_left_of_house_4')).
% 0.47/0.62 tff(661,plain,
% 0.47/0.62 (left_of(house_3, house_4)),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[660, 659])).
% 0.47/0.62 tff(662,plain,
% 0.47/0.62 (((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | ((~left_of(house_3, house_4)) | next_to(house_3, house_4))) <=> ((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | (~left_of(house_3, house_4)) | next_to(house_3, house_4))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(663,plain,
% 0.47/0.62 ((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | ((~left_of(house_3, house_4)) | next_to(house_3, house_4))),
% 0.47/0.62 inference(quant_inst,[status(thm)],[])).
% 0.47/0.62 tff(664,plain,
% 0.47/0.62 ((~![Y: $i, X: $i] : ((~left_of(X, Y)) | next_to(X, Y))) | (~left_of(house_3, house_4)) | next_to(house_3, house_4)),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[663, 662])).
% 0.47/0.62 tff(665,plain,
% 0.47/0.62 (next_to(house_3, house_4)),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[664, 215, 661])).
% 0.47/0.62 tff(666,plain,
% 0.47/0.62 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | is_color(house_4, blue) | (~next_to(house_3, house_4)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | (~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | is_color(house_4, blue) | (~next_to(house_3, house_4)))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(667,plain,
% 0.47/0.62 (((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | (~next_to(house_3, house_4)) | is_color(house_4, blue)) <=> ((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | is_color(house_4, blue) | (~next_to(house_3, house_4)))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(668,plain,
% 0.47/0.62 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | (~next_to(house_3, house_4)) | is_color(house_4, blue))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | is_color(house_4, blue) | (~next_to(house_3, house_4))))),
% 0.47/0.62 inference(monotonicity,[status(thm)],[667])).
% 0.47/0.62 tff(669,plain,
% 0.47/0.62 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | (~next_to(house_3, house_4)) | is_color(house_4, blue))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | (~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | is_color(house_4, blue) | (~next_to(house_3, house_4)))),
% 0.47/0.62 inference(transitivity,[status(thm)],[668, 666])).
% 0.47/0.62 tff(670,plain,
% 0.47/0.62 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | ((~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | (~next_to(house_3, house_4)) | is_color(house_4, blue))),
% 0.47/0.62 inference(quant_inst,[status(thm)],[])).
% 0.47/0.62 tff(671,plain,
% 0.47/0.62 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~lives(norwegian, House_1)) | (~house(House_2)) | (~next_to(House_1, House_2)) | is_color(House_2, blue))) | (~house(house_3)) | (~lives(norwegian, house_3)) | (~house(house_4)) | is_color(house_4, blue) | (~next_to(house_3, house_4))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[670, 669])).
% 0.47/0.62 tff(672,plain,
% 0.47/0.62 ((~lives(norwegian, house_3)) | is_color(house_4, blue)),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[671, 14, 96, 229, 665])).
% 0.47/0.62 tff(673,plain,
% 0.47/0.62 (~lives(norwegian, house_3)),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[672, 527])).
% 0.47/0.62 tff(674,plain,
% 0.47/0.62 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | ((~person(norwegian)) | lives(norwegian, house_3) | (~drinks(norwegian, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (~person(norwegian)) | lives(norwegian, house_3) | (~drinks(norwegian, milk)))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(675,plain,
% 0.47/0.62 ((lives(norwegian, house_3) | (~person(norwegian)) | (~drinks(norwegian, milk))) <=> ((~person(norwegian)) | lives(norwegian, house_3) | (~drinks(norwegian, milk)))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(676,plain,
% 0.47/0.62 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(norwegian, house_3) | (~person(norwegian)) | (~drinks(norwegian, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | ((~person(norwegian)) | lives(norwegian, house_3) | (~drinks(norwegian, milk))))),
% 0.47/0.62 inference(monotonicity,[status(thm)],[675])).
% 0.47/0.62 tff(677,plain,
% 0.47/0.62 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(norwegian, house_3) | (~person(norwegian)) | (~drinks(norwegian, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (~person(norwegian)) | lives(norwegian, house_3) | (~drinks(norwegian, milk)))),
% 0.47/0.62 inference(transitivity,[status(thm)],[676, 674])).
% 0.47/0.62 tff(678,plain,
% 0.47/0.62 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(norwegian, house_3) | (~person(norwegian)) | (~drinks(norwegian, milk)))),
% 0.47/0.62 inference(quant_inst,[status(thm)],[])).
% 0.47/0.62 tff(679,plain,
% 0.47/0.62 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (~person(norwegian)) | lives(norwegian, house_3) | (~drinks(norwegian, milk))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[678, 677])).
% 0.47/0.62 tff(680,plain,
% 0.47/0.62 (lives(norwegian, house_3) | (~drinks(norwegian, milk))),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[679, 607, 32])).
% 0.47/0.62 tff(681,plain,
% 0.47/0.62 (~drinks(norwegian, milk)),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[680, 673])).
% 0.47/0.62 tff(682,plain,
% 0.47/0.62 (^[Person: $i] : refl(((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) <=> ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(683,plain,
% 0.47/0.62 (![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) <=> ![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[682])).
% 0.47/0.62 tff(684,plain,
% 0.47/0.62 (![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) <=> ![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(685,plain,
% 0.47/0.62 (^[Person: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) <=> ((~person(Person)) | drinks(Person, coffee) | drinks(Person, orange))), (((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) <=> (((~person(Person)) | drinks(Person, coffee) | drinks(Person, orange)) | drinks(Person, tea)))), rewrite((((~person(Person)) | drinks(Person, coffee) | drinks(Person, orange)) | drinks(Person, tea)) <=> ((~person(Person)) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))), (((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) <=> ((~person(Person)) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)))), ((((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) | drinks(Person, milk)) <=> (((~person(Person)) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) | drinks(Person, milk)))), rewrite((((~person(Person)) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) | drinks(Person, milk)) <=> ((~person(Person)) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))), ((((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) | drinks(Person, milk)) <=> ((~person(Person)) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)))), (((((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) | drinks(Person, milk)) | drinks(Person, water)) <=> (((~person(Person)) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) | drinks(Person, water)))), rewrite((((~person(Person)) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange)) | drinks(Person, water)) <=> ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))), (((((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) | drinks(Person, milk)) | drinks(Person, water)) <=> ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))))),
% 0.47/0.62 inference(bind,[status(th)],[])).
% 0.47/0.62 tff(686,plain,
% 0.47/0.62 (![Person: $i] : ((((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) | drinks(Person, milk)) | drinks(Person, water)) <=> ![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(quant_intro,[status(thm)],[685])).
% 0.47/0.62 tff(687,axiom,(![Person: $i] : ((((((~person(Person)) | drinks(Person, orange)) | drinks(Person, coffee)) | drinks(Person, tea)) | drinks(Person, milk)) | drinks(Person, water))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','drink_something')).
% 0.47/0.62 tff(688,plain,
% 0.47/0.62 (![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[687, 686])).
% 0.47/0.62 tff(689,plain,
% 0.47/0.62 (![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[688, 684])).
% 0.47/0.62 tff(690,plain,(
% 0.47/0.62 ![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(skolemize,[status(sab)],[689])).
% 0.47/0.62 tff(691,plain,
% 0.47/0.62 (![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[690, 683])).
% 0.47/0.62 tff(692,plain,
% 0.47/0.62 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(norwegian, water) | (~person(norwegian)) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(norwegian, water) | (~person(norwegian)) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea))),
% 0.47/0.62 inference(rewrite,[status(thm)],[])).
% 0.47/0.62 tff(693,plain,
% 0.47/0.62 (((~person(norwegian)) | drinks(norwegian, water) | drinks(norwegian, milk) | drinks(norwegian, tea) | drinks(norwegian, coffee) | drinks(norwegian, orange)) <=> (drinks(norwegian, water) | (~person(norwegian)) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(694,plain,
% 0.47/0.63 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(norwegian)) | drinks(norwegian, water) | drinks(norwegian, milk) | drinks(norwegian, tea) | drinks(norwegian, coffee) | drinks(norwegian, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(norwegian, water) | (~person(norwegian)) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea)))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[693])).
% 0.47/0.63 tff(695,plain,
% 0.47/0.63 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(norwegian)) | drinks(norwegian, water) | drinks(norwegian, milk) | drinks(norwegian, tea) | drinks(norwegian, coffee) | drinks(norwegian, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(norwegian, water) | (~person(norwegian)) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea))),
% 0.47/0.63 inference(transitivity,[status(thm)],[694, 692])).
% 0.47/0.63 tff(696,plain,
% 0.47/0.63 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(norwegian)) | drinks(norwegian, water) | drinks(norwegian, milk) | drinks(norwegian, tea) | drinks(norwegian, coffee) | drinks(norwegian, orange))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(697,plain,
% 0.47/0.63 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(norwegian, water) | (~person(norwegian)) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[696, 695])).
% 0.47/0.63 tff(698,plain,
% 0.47/0.63 (drinks(norwegian, water) | drinks(norwegian, coffee) | drinks(norwegian, milk) | drinks(norwegian, orange) | drinks(norwegian, tea)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[697, 691, 607])).
% 0.47/0.63 tff(699,plain,
% 0.47/0.63 (drinks(norwegian, water) | drinks(norwegian, coffee) | drinks(norwegian, orange)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[698, 681, 658])).
% 0.47/0.63 tff(700,plain,
% 0.47/0.63 (drinks(norwegian, orange)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[699, 638, 616])).
% 0.47/0.63 tff(701,assumption,(~drinks(english, coffee)), introduced(assumption)).
% 0.47/0.63 tff(702,assumption,(~drinks(english, milk)), introduced(assumption)).
% 0.47/0.63 tff(703,plain,
% 0.47/0.63 (^[H: $i] : refl(((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H))) <=> ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(704,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[703])).
% 0.47/0.63 tff(705,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(706,plain,
% 0.47/0.63 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(english, H))) | (~drinks(spaniard, H))) <=> ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(707,plain,
% 0.47/0.63 (![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(spaniard, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[706])).
% 0.47/0.63 tff(708,axiom,(![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(spaniard, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_spaniard_drink_different')).
% 0.47/0.63 tff(709,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[708, 707])).
% 0.47/0.63 tff(710,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[709, 705])).
% 0.47/0.63 tff(711,plain,(
% 0.47/0.63 ![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(skolemize,[status(sab)],[710])).
% 0.47/0.63 tff(712,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[711, 704])).
% 0.47/0.63 tff(713,plain,
% 0.47/0.63 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drink(water)) | (~drinks(spaniard, water)) | (~drinks(english, water)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drink(water)) | (~drinks(spaniard, water)) | (~drinks(english, water)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(714,plain,
% 0.47/0.63 (((~drinks(spaniard, water)) | (~drinks(english, water)) | (~drink(water))) <=> ((~drink(water)) | (~drinks(spaniard, water)) | (~drinks(english, water)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(715,plain,
% 0.47/0.63 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, water)) | (~drinks(english, water)) | (~drink(water)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drink(water)) | (~drinks(spaniard, water)) | (~drinks(english, water))))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[714])).
% 0.47/0.63 tff(716,plain,
% 0.47/0.63 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, water)) | (~drinks(english, water)) | (~drink(water)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drink(water)) | (~drinks(spaniard, water)) | (~drinks(english, water)))),
% 0.47/0.63 inference(transitivity,[status(thm)],[715, 713])).
% 0.47/0.63 tff(717,plain,
% 0.47/0.63 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, water)) | (~drinks(english, water)) | (~drink(water)))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(718,plain,
% 0.47/0.63 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drink(water)) | (~drinks(spaniard, water)) | (~drinks(english, water))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[717, 716])).
% 0.47/0.63 tff(719,plain,
% 0.47/0.63 ((~drinks(spaniard, water)) | (~drinks(english, water))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[718, 712, 620])).
% 0.47/0.63 tff(720,plain,
% 0.47/0.63 (~drinks(english, water)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[719, 617])).
% 0.47/0.63 tff(721,plain,
% 0.47/0.63 (^[H: $i] : refl(((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H))) <=> ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(722,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[721])).
% 0.47/0.63 tff(723,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(724,plain,
% 0.47/0.63 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(english, H))) | (~drinks(ukranian, H))) <=> ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(725,plain,
% 0.47/0.63 (![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[724])).
% 0.47/0.63 tff(726,axiom,(![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_unkranian_drink_different')).
% 0.47/0.63 tff(727,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[726, 725])).
% 0.47/0.63 tff(728,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[727, 723])).
% 0.47/0.63 tff(729,plain,(
% 0.47/0.63 ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(skolemize,[status(sab)],[728])).
% 0.47/0.63 tff(730,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[729, 722])).
% 0.47/0.63 tff(731,plain,
% 0.47/0.63 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(english, tea)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(english, tea)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(732,plain,
% 0.47/0.63 (((~drinks(english, tea)) | (~drink(tea)) | (~drinks(ukranian, tea))) <=> ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(english, tea)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(733,plain,
% 0.47/0.63 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(english, tea)) | (~drink(tea)) | (~drinks(ukranian, tea)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(english, tea))))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[732])).
% 0.47/0.63 tff(734,plain,
% 0.47/0.63 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(english, tea)) | (~drink(tea)) | (~drinks(ukranian, tea)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(english, tea)))),
% 0.47/0.63 inference(transitivity,[status(thm)],[733, 731])).
% 0.47/0.63 tff(735,plain,
% 0.47/0.63 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(english, tea)) | (~drink(tea)) | (~drinks(ukranian, tea)))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(736,plain,
% 0.47/0.63 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(english, tea))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[735, 734])).
% 0.47/0.63 tff(737,plain,
% 0.47/0.63 (~drinks(english, tea)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[736, 730, 644, 641])).
% 0.47/0.63 tff(738,plain,
% 0.47/0.63 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(english, milk) | (~person(english)) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(english, milk) | (~person(english)) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(739,plain,
% 0.47/0.63 (((~person(english)) | drinks(english, water) | drinks(english, milk) | drinks(english, tea) | drinks(english, coffee) | drinks(english, orange)) <=> (drinks(english, milk) | (~person(english)) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(740,plain,
% 0.47/0.63 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(english)) | drinks(english, water) | drinks(english, milk) | drinks(english, tea) | drinks(english, coffee) | drinks(english, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(english, milk) | (~person(english)) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee)))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[739])).
% 0.47/0.63 tff(741,plain,
% 0.47/0.63 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(english)) | drinks(english, water) | drinks(english, milk) | drinks(english, tea) | drinks(english, coffee) | drinks(english, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(english, milk) | (~person(english)) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee))),
% 0.47/0.63 inference(transitivity,[status(thm)],[740, 738])).
% 0.47/0.63 tff(742,plain,
% 0.47/0.63 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(english)) | drinks(english, water) | drinks(english, milk) | drinks(english, tea) | drinks(english, coffee) | drinks(english, orange))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(743,plain,
% 0.47/0.63 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(english, milk) | (~person(english)) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[742, 741])).
% 0.47/0.63 tff(744,plain,
% 0.47/0.63 (drinks(english, milk) | drinks(english, orange) | drinks(english, water) | drinks(english, tea) | drinks(english, coffee)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[743, 691, 35])).
% 0.47/0.63 tff(745,plain,
% 0.47/0.63 (drinks(english, milk) | drinks(english, orange) | drinks(english, water) | drinks(english, coffee)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[744, 737])).
% 0.47/0.63 tff(746,plain,
% 0.47/0.63 (drinks(english, orange)),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[745, 720, 702, 701])).
% 0.47/0.63 tff(747,plain,
% 0.47/0.63 (drink(orange) <=> drink(orange)),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(748,axiom,(drink(orange)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','orange')).
% 0.47/0.63 tff(749,plain,
% 0.47/0.63 (drink(orange)),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[748, 747])).
% 0.47/0.63 tff(750,plain,
% 0.47/0.63 (^[H: $i] : refl(((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H))) <=> ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(751,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[750])).
% 0.47/0.63 tff(752,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(753,plain,
% 0.47/0.63 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(english, H))) | (~drinks(norwegian, H))) <=> ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H))))),
% 0.47/0.63 inference(bind,[status(th)],[])).
% 0.47/0.63 tff(754,plain,
% 0.47/0.63 (![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(norwegian, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.63 inference(quant_intro,[status(thm)],[753])).
% 0.47/0.63 tff(755,axiom,(![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_norwegian_drink_different')).
% 0.47/0.63 tff(756,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[755, 754])).
% 0.47/0.63 tff(757,plain,
% 0.47/0.63 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[756, 752])).
% 0.47/0.63 tff(758,plain,(
% 0.47/0.63 ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.55/0.64 inference(skolemize,[status(sab)],[757])).
% 0.55/0.64 tff(759,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[758, 751])).
% 0.55/0.64 tff(760,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(english, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(english, orange)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(761,plain,
% 0.55/0.64 (((~drinks(english, orange)) | (~drink(orange)) | (~drinks(norwegian, orange))) <=> ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(english, orange)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(762,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(norwegian, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(english, orange))))),
% 0.55/0.64 inference(monotonicity,[status(thm)],[761])).
% 0.55/0.64 tff(763,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(norwegian, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(english, orange)))),
% 0.55/0.64 inference(transitivity,[status(thm)],[762, 760])).
% 0.55/0.64 tff(764,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(norwegian, orange)))),
% 0.55/0.64 inference(quant_inst,[status(thm)],[])).
% 0.55/0.64 tff(765,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(english, orange))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[764, 763])).
% 0.55/0.64 tff(766,plain,
% 0.55/0.64 ((~drinks(norwegian, orange)) | (~drinks(english, orange))),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[765, 759, 749])).
% 0.55/0.64 tff(767,plain,
% 0.55/0.64 ($false),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[766, 746, 700])).
% 0.55/0.64 tff(768,plain,((~drinks(spaniard, water)) | drinks(english, milk) | drinks(english, coffee) | drinks(norwegian, coffee)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.64 tff(769,plain,
% 0.55/0.64 ((~drinks(spaniard, water)) | drinks(english, milk) | drinks(english, coffee)),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[768, 615])).
% 0.55/0.64 tff(770,plain,
% 0.55/0.64 (~drinks(spaniard, water)),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[769, 584, 43])).
% 0.55/0.64 tff(771,assumption,(drinks(spaniard, orange)), introduced(assumption)).
% 0.55/0.64 tff(772,assumption,(~drinks(japanese, milk)), introduced(assumption)).
% 0.55/0.64 tff(773,plain,
% 0.55/0.64 (^[H: $i] : refl(((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H))) <=> ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H))))),
% 0.55/0.64 inference(bind,[status(th)],[])).
% 0.55/0.64 tff(774,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(quant_intro,[status(thm)],[773])).
% 0.55/0.64 tff(775,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(776,plain,
% 0.55/0.64 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(japanese, H))) <=> ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H))))),
% 0.55/0.64 inference(bind,[status(th)],[])).
% 0.55/0.64 tff(777,plain,
% 0.55/0.64 (![H: $i] : (((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(quant_intro,[status(thm)],[776])).
% 0.55/0.64 tff(778,axiom,(![H: $i] : (((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_japanese_drink_different')).
% 0.55/0.64 tff(779,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[778, 777])).
% 0.55/0.64 tff(780,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[779, 775])).
% 0.55/0.64 tff(781,plain,(
% 0.55/0.64 ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(skolemize,[status(sab)],[780])).
% 0.55/0.64 tff(782,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[781, 774])).
% 0.55/0.64 tff(783,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(japanese, orange)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(japanese, orange)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(784,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(japanese, orange)))),
% 0.55/0.64 inference(quant_inst,[status(thm)],[])).
% 0.55/0.64 tff(785,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(japanese, orange))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[784, 783])).
% 0.55/0.64 tff(786,plain,
% 0.55/0.64 ((~drinks(spaniard, orange)) | (~drinks(japanese, orange))),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[785, 782, 749])).
% 0.55/0.64 tff(787,plain,
% 0.55/0.64 (~drinks(japanese, orange)),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[786, 771])).
% 0.55/0.64 tff(788,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(norwegian, orange)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(norwegian, orange)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(789,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(norwegian, orange)))),
% 0.55/0.64 inference(quant_inst,[status(thm)],[])).
% 0.55/0.64 tff(790,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(norwegian, orange))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[789, 788])).
% 0.55/0.64 tff(791,plain,
% 0.55/0.64 ((~drinks(spaniard, orange)) | (~drinks(norwegian, orange))),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[790, 630, 749])).
% 0.55/0.64 tff(792,plain,
% 0.55/0.64 (~drinks(norwegian, orange)),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[791, 771])).
% 0.55/0.64 tff(793,assumption,(~drinks(japanese, orange)), introduced(assumption)).
% 0.55/0.64 tff(794,assumption,(drinks(english, coffee)), introduced(assumption)).
% 0.55/0.64 tff(795,plain,
% 0.55/0.64 (drink(coffee) <=> drink(coffee)),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(796,axiom,(drink(coffee)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','coffee')).
% 0.55/0.64 tff(797,plain,
% 0.55/0.64 (drink(coffee)),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[796, 795])).
% 0.55/0.64 tff(798,plain,
% 0.55/0.64 (^[H: $i] : refl(((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H))) <=> ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H))))),
% 0.55/0.64 inference(bind,[status(th)],[])).
% 0.55/0.64 tff(799,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(quant_intro,[status(thm)],[798])).
% 0.55/0.64 tff(800,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(801,plain,
% 0.55/0.64 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(english, H))) | (~drinks(japanese, H))) <=> ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H))))),
% 0.55/0.64 inference(bind,[status(th)],[])).
% 0.55/0.64 tff(802,plain,
% 0.55/0.64 (![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(quant_intro,[status(thm)],[801])).
% 0.55/0.64 tff(803,axiom,(![H: $i] : (((~drink(H)) | (~drinks(english, H))) | (~drinks(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_japanese_drink_different')).
% 0.55/0.64 tff(804,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[803, 802])).
% 0.55/0.64 tff(805,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[804, 800])).
% 0.55/0.64 tff(806,plain,(
% 0.55/0.64 ![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(skolemize,[status(sab)],[805])).
% 0.55/0.64 tff(807,plain,
% 0.55/0.64 (![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[806, 799])).
% 0.55/0.64 tff(808,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(809,plain,
% 0.55/0.64 (((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee))) <=> ((~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(810,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(english, coffee))))),
% 0.55/0.64 inference(monotonicity,[status(thm)],[809])).
% 0.55/0.64 tff(811,plain,
% 0.55/0.64 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))),
% 0.55/0.64 inference(transitivity,[status(thm)],[810, 808])).
% 0.55/0.64 tff(812,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee)))),
% 0.55/0.64 inference(quant_inst,[status(thm)],[])).
% 0.55/0.64 tff(813,plain,
% 0.55/0.64 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(english, coffee))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[812, 811])).
% 0.55/0.64 tff(814,plain,
% 0.55/0.64 ((~drinks(japanese, coffee)) | (~drinks(english, coffee))),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[813, 807, 797])).
% 0.55/0.64 tff(815,plain,
% 0.55/0.64 (~drinks(japanese, coffee)),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[814, 794])).
% 0.55/0.64 tff(816,plain,
% 0.55/0.64 (^[H: $i] : refl(((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H))) <=> ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H))))),
% 0.55/0.64 inference(bind,[status(th)],[])).
% 0.55/0.64 tff(817,plain,
% 0.55/0.64 (![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(quant_intro,[status(thm)],[816])).
% 0.55/0.64 tff(818,plain,
% 0.55/0.64 (![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(819,plain,
% 0.55/0.64 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(ukranian, H))) | (~drinks(japanese, H))) <=> ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H))))),
% 0.55/0.64 inference(bind,[status(th)],[])).
% 0.55/0.64 tff(820,plain,
% 0.55/0.64 (![H: $i] : (((~drink(H)) | (~drinks(ukranian, H))) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(quant_intro,[status(thm)],[819])).
% 0.55/0.64 tff(821,axiom,(![H: $i] : (((~drink(H)) | (~drinks(ukranian, H))) | (~drinks(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ukranian_and_japanese_drink_different')).
% 0.55/0.64 tff(822,plain,
% 0.55/0.64 (![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[821, 820])).
% 0.55/0.64 tff(823,plain,
% 0.55/0.64 (![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[822, 818])).
% 0.55/0.64 tff(824,plain,(
% 0.55/0.64 ![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(skolemize,[status(sab)],[823])).
% 0.55/0.64 tff(825,plain,
% 0.55/0.64 (![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[824, 817])).
% 0.55/0.64 tff(826,plain,
% 0.55/0.64 (((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(japanese, tea)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(japanese, tea)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(827,plain,
% 0.55/0.64 (((~drink(tea)) | (~drinks(ukranian, tea)) | (~drinks(japanese, tea))) <=> ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(japanese, tea)))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(828,plain,
% 0.55/0.64 (((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drink(tea)) | (~drinks(ukranian, tea)) | (~drinks(japanese, tea)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(japanese, tea))))),
% 0.55/0.64 inference(monotonicity,[status(thm)],[827])).
% 0.55/0.64 tff(829,plain,
% 0.55/0.64 (((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drink(tea)) | (~drinks(ukranian, tea)) | (~drinks(japanese, tea)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(japanese, tea)))),
% 0.55/0.64 inference(transitivity,[status(thm)],[828, 826])).
% 0.55/0.64 tff(830,plain,
% 0.55/0.64 ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drink(tea)) | (~drinks(ukranian, tea)) | (~drinks(japanese, tea)))),
% 0.55/0.64 inference(quant_inst,[status(thm)],[])).
% 0.55/0.64 tff(831,plain,
% 0.55/0.64 ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(japanese, tea))),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[830, 829])).
% 0.55/0.64 tff(832,plain,
% 0.55/0.64 (~drinks(japanese, tea)),
% 0.55/0.64 inference(unit_resolution,[status(thm)],[831, 825, 644, 641])).
% 0.55/0.64 tff(833,plain,
% 0.55/0.64 (person(japanese) <=> person(japanese)),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(834,axiom,(person(japanese)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','japanese')).
% 0.55/0.64 tff(835,plain,
% 0.55/0.64 (person(japanese)),
% 0.55/0.64 inference(modus_ponens,[status(thm)],[834, 833])).
% 0.55/0.64 tff(836,plain,
% 0.55/0.64 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(japanese, coffee) | (~person(japanese)) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(japanese, coffee) | (~person(japanese)) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea))),
% 0.55/0.64 inference(rewrite,[status(thm)],[])).
% 0.55/0.64 tff(837,plain,
% 0.55/0.64 (((~person(japanese)) | drinks(japanese, water) | drinks(japanese, milk) | drinks(japanese, tea) | drinks(japanese, coffee) | drinks(japanese, orange)) <=> (drinks(japanese, coffee) | (~person(japanese)) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(838,plain,
% 0.55/0.65 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(japanese)) | drinks(japanese, water) | drinks(japanese, milk) | drinks(japanese, tea) | drinks(japanese, coffee) | drinks(japanese, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(japanese, coffee) | (~person(japanese)) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea)))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[837])).
% 0.55/0.65 tff(839,plain,
% 0.55/0.65 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(japanese)) | drinks(japanese, water) | drinks(japanese, milk) | drinks(japanese, tea) | drinks(japanese, coffee) | drinks(japanese, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(japanese, coffee) | (~person(japanese)) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea))),
% 0.55/0.65 inference(transitivity,[status(thm)],[838, 836])).
% 0.55/0.65 tff(840,plain,
% 0.55/0.65 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(japanese)) | drinks(japanese, water) | drinks(japanese, milk) | drinks(japanese, tea) | drinks(japanese, coffee) | drinks(japanese, orange))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(841,plain,
% 0.55/0.65 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(japanese, coffee) | (~person(japanese)) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea)),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[840, 839])).
% 0.55/0.65 tff(842,plain,
% 0.55/0.65 (drinks(japanese, coffee) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water) | drinks(japanese, tea)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[841, 691, 835])).
% 0.55/0.65 tff(843,plain,
% 0.55/0.65 (drinks(japanese, coffee) | drinks(japanese, milk) | drinks(japanese, orange) | drinks(japanese, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[842, 832])).
% 0.55/0.65 tff(844,plain,
% 0.55/0.65 (drinks(japanese, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[843, 815, 793, 772])).
% 0.55/0.65 tff(845,assumption,(~drinks(norwegian, orange)), introduced(assumption)).
% 0.55/0.65 tff(846,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(norwegian, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(847,plain,
% 0.55/0.65 (((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(norwegian, coffee))) <=> ((~drinks(norwegian, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(848,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(norwegian, coffee)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(norwegian, coffee)) | (~drink(coffee)) | (~drinks(english, coffee))))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[847])).
% 0.55/0.65 tff(849,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(norwegian, coffee)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, coffee)) | (~drink(coffee)) | (~drinks(english, coffee)))),
% 0.55/0.65 inference(transitivity,[status(thm)],[848, 846])).
% 0.55/0.65 tff(850,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, coffee)) | (~drink(coffee)) | (~drinks(norwegian, coffee)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(851,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, coffee)) | (~drink(coffee)) | (~drinks(english, coffee))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[850, 849])).
% 0.55/0.65 tff(852,plain,
% 0.55/0.65 ((~drinks(norwegian, coffee)) | (~drinks(english, coffee))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[851, 759, 797])).
% 0.55/0.65 tff(853,plain,
% 0.55/0.65 (~drinks(norwegian, coffee)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[852, 794])).
% 0.55/0.65 tff(854,plain,
% 0.55/0.65 (drinks(norwegian, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[699, 853, 845])).
% 0.55/0.65 tff(855,plain,
% 0.55/0.65 (^[H: $i] : refl(((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H))) <=> ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H))))),
% 0.55/0.65 inference(bind,[status(th)],[])).
% 0.55/0.65 tff(856,plain,
% 0.55/0.65 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(quant_intro,[status(thm)],[855])).
% 0.55/0.65 tff(857,plain,
% 0.55/0.65 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(858,plain,
% 0.55/0.65 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(norwegian, H))) | (~drinks(japanese, H))) <=> ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H))))),
% 0.55/0.65 inference(bind,[status(th)],[])).
% 0.55/0.65 tff(859,plain,
% 0.55/0.65 (![H: $i] : (((~drink(H)) | (~drinks(norwegian, H))) | (~drinks(japanese, H))) <=> ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(quant_intro,[status(thm)],[858])).
% 0.55/0.65 tff(860,axiom,(![H: $i] : (((~drink(H)) | (~drinks(norwegian, H))) | (~drinks(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_japanese_drink_different')).
% 0.55/0.65 tff(861,plain,
% 0.55/0.65 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[860, 859])).
% 0.55/0.65 tff(862,plain,
% 0.55/0.65 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[861, 857])).
% 0.55/0.65 tff(863,plain,(
% 0.55/0.65 ![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(skolemize,[status(sab)],[862])).
% 0.55/0.65 tff(864,plain,
% 0.55/0.65 (![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[863, 856])).
% 0.55/0.65 tff(865,plain,
% 0.55/0.65 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(japanese, water)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(japanese, water)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(866,plain,
% 0.55/0.65 (((~drink(water)) | (~drinks(norwegian, water)) | (~drinks(japanese, water))) <=> ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(japanese, water)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(867,plain,
% 0.55/0.65 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(water)) | (~drinks(norwegian, water)) | (~drinks(japanese, water)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(japanese, water))))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[866])).
% 0.55/0.65 tff(868,plain,
% 0.55/0.65 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(water)) | (~drinks(norwegian, water)) | (~drinks(japanese, water)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(japanese, water)))),
% 0.55/0.65 inference(transitivity,[status(thm)],[867, 865])).
% 0.55/0.65 tff(869,plain,
% 0.55/0.65 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(water)) | (~drinks(norwegian, water)) | (~drinks(japanese, water)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(870,plain,
% 0.55/0.65 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(japanese, water))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[869, 868])).
% 0.55/0.65 tff(871,plain,
% 0.55/0.65 ((~drinks(norwegian, water)) | (~drinks(japanese, water))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[870, 864, 620])).
% 0.55/0.65 tff(872,plain,
% 0.55/0.65 ($false),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[871, 854, 844])).
% 0.55/0.65 tff(873,plain,((~drinks(english, coffee)) | drinks(norwegian, orange) | drinks(japanese, orange) | drinks(japanese, milk)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.65 tff(874,plain,
% 0.55/0.65 (~drinks(english, coffee)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[873, 772, 787, 792])).
% 0.55/0.65 tff(875,plain,
% 0.55/0.65 (drinks(norwegian, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[699, 792, 616])).
% 0.55/0.65 tff(876,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(english, orange)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(english, orange)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(877,plain,
% 0.55/0.65 (((~drinks(spaniard, orange)) | (~drinks(english, orange)) | (~drink(orange))) <=> ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(english, orange)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(878,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, orange)) | (~drinks(english, orange)) | (~drink(orange)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(english, orange))))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[877])).
% 0.55/0.65 tff(879,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, orange)) | (~drinks(english, orange)) | (~drink(orange)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(english, orange)))),
% 0.55/0.65 inference(transitivity,[status(thm)],[878, 876])).
% 0.55/0.65 tff(880,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, orange)) | (~drinks(english, orange)) | (~drink(orange)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(881,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(english, orange))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[880, 879])).
% 0.55/0.65 tff(882,plain,
% 0.55/0.65 ((~drinks(spaniard, orange)) | (~drinks(english, orange))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[881, 712, 749])).
% 0.55/0.65 tff(883,plain,
% 0.55/0.65 (~drinks(english, orange)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[882, 771])).
% 0.55/0.65 tff(884,plain,
% 0.55/0.65 (drinks(english, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[745, 883, 702, 701])).
% 0.55/0.65 tff(885,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(english, water)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(english, water)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(886,plain,
% 0.55/0.65 (((~drinks(english, water)) | (~drink(water)) | (~drinks(norwegian, water))) <=> ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(english, water)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(887,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, water)) | (~drink(water)) | (~drinks(norwegian, water)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(norwegian, water)) | (~drink(water)) | (~drinks(english, water))))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[886])).
% 0.55/0.65 tff(888,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, water)) | (~drink(water)) | (~drinks(norwegian, water)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(english, water)))),
% 0.55/0.65 inference(transitivity,[status(thm)],[887, 885])).
% 0.55/0.65 tff(889,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | ((~drinks(english, water)) | (~drink(water)) | (~drinks(norwegian, water)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(890,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(norwegian, H)))) | (~drinks(norwegian, water)) | (~drink(water)) | (~drinks(english, water))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[889, 888])).
% 0.55/0.65 tff(891,plain,
% 0.55/0.65 ((~drinks(norwegian, water)) | (~drinks(english, water))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[890, 759, 620])).
% 0.55/0.65 tff(892,plain,
% 0.55/0.65 ($false),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[891, 884, 875])).
% 0.55/0.65 tff(893,plain,((~drinks(spaniard, orange)) | drinks(english, milk) | drinks(english, coffee) | drinks(norwegian, coffee)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.65 tff(894,plain,
% 0.55/0.65 (drinks(norwegian, coffee)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[893, 874, 771, 702])).
% 0.55/0.65 tff(895,plain,
% 0.55/0.65 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drinks(japanese, coffee)) | (~drinks(norwegian, coffee)) | (~drink(coffee)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drinks(norwegian, coffee)) | (~drink(coffee)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(896,plain,
% 0.55/0.65 (((~drink(coffee)) | (~drinks(norwegian, coffee)) | (~drinks(japanese, coffee))) <=> ((~drinks(japanese, coffee)) | (~drinks(norwegian, coffee)) | (~drink(coffee)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(897,plain,
% 0.55/0.65 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(coffee)) | (~drinks(norwegian, coffee)) | (~drinks(japanese, coffee)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drinks(japanese, coffee)) | (~drinks(norwegian, coffee)) | (~drink(coffee))))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[896])).
% 0.55/0.65 tff(898,plain,
% 0.55/0.65 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(coffee)) | (~drinks(norwegian, coffee)) | (~drinks(japanese, coffee)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drinks(norwegian, coffee)) | (~drink(coffee)))),
% 0.55/0.65 inference(transitivity,[status(thm)],[897, 895])).
% 0.55/0.65 tff(899,plain,
% 0.55/0.65 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(coffee)) | (~drinks(norwegian, coffee)) | (~drinks(japanese, coffee)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(900,plain,
% 0.55/0.65 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drinks(norwegian, coffee)) | (~drink(coffee))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[899, 898])).
% 0.55/0.65 tff(901,plain,
% 0.55/0.65 ((~drinks(japanese, coffee)) | (~drinks(norwegian, coffee))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[900, 864, 797])).
% 0.55/0.65 tff(902,plain,
% 0.55/0.65 (~drinks(japanese, coffee)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[901, 894])).
% 0.55/0.65 tff(903,plain,
% 0.55/0.65 (drinks(english, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[745, 874, 883, 702])).
% 0.55/0.65 tff(904,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drink(water)) | (~drinks(japanese, water)) | (~drinks(english, water)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drink(water)) | (~drinks(japanese, water)) | (~drinks(english, water)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(905,plain,
% 0.55/0.65 (((~drinks(english, water)) | (~drink(water)) | (~drinks(japanese, water))) <=> ((~drink(water)) | (~drinks(japanese, water)) | (~drinks(english, water)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(906,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, water)) | (~drink(water)) | (~drinks(japanese, water)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drink(water)) | (~drinks(japanese, water)) | (~drinks(english, water))))),
% 0.55/0.65 inference(monotonicity,[status(thm)],[905])).
% 0.55/0.65 tff(907,plain,
% 0.55/0.65 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, water)) | (~drink(water)) | (~drinks(japanese, water)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drink(water)) | (~drinks(japanese, water)) | (~drinks(english, water)))),
% 0.55/0.65 inference(transitivity,[status(thm)],[906, 904])).
% 0.55/0.65 tff(908,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, water)) | (~drink(water)) | (~drinks(japanese, water)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(909,plain,
% 0.55/0.65 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drink(water)) | (~drinks(japanese, water)) | (~drinks(english, water))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.55/0.65 tff(910,plain,
% 0.55/0.65 ((~drinks(japanese, water)) | (~drinks(english, water))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[909, 807, 620])).
% 0.55/0.65 tff(911,plain,
% 0.55/0.65 (~drinks(japanese, water)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[910, 903])).
% 0.55/0.65 tff(912,plain,
% 0.55/0.65 ($false),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[843, 911, 902, 787, 772])).
% 0.55/0.65 tff(913,plain,(drinks(japanese, milk) | drinks(english, milk) | (~drinks(spaniard, orange))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.65 tff(914,plain,
% 0.55/0.65 (drinks(japanese, milk)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[913, 702, 771])).
% 0.55/0.65 tff(915,plain,
% 0.55/0.65 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(japanese, house_3) | (~person(japanese)) | (~drinks(japanese, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | lives(japanese, house_3) | (~person(japanese)) | (~drinks(japanese, milk)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(916,plain,
% 0.55/0.65 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(japanese, house_3) | (~person(japanese)) | (~drinks(japanese, milk)))),
% 0.55/0.65 inference(quant_inst,[status(thm)],[])).
% 0.55/0.65 tff(917,plain,
% 0.55/0.65 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | lives(japanese, house_3) | (~person(japanese)) | (~drinks(japanese, milk))),
% 0.55/0.65 inference(modus_ponens,[status(thm)],[916, 915])).
% 0.55/0.65 tff(918,plain,
% 0.55/0.65 (lives(japanese, house_3) | (~drinks(japanese, milk))),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[917, 835, 32])).
% 0.55/0.65 tff(919,plain,
% 0.55/0.65 (lives(japanese, house_3)),
% 0.55/0.65 inference(unit_resolution,[status(thm)],[918, 914])).
% 0.55/0.65 tff(920,plain,
% 0.55/0.65 (^[H: $i] : refl(((~lives(english, H)) | (~house(H)) | (~lives(japanese, H))) <=> ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H))))),
% 0.55/0.65 inference(bind,[status(th)],[])).
% 0.55/0.65 tff(921,plain,
% 0.55/0.65 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.65 inference(quant_intro,[status(thm)],[920])).
% 0.55/0.65 tff(922,plain,
% 0.55/0.65 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.65 inference(rewrite,[status(thm)],[])).
% 0.55/0.65 tff(923,plain,
% 0.55/0.66 (^[H: $i] : rewrite((((~house(H)) | (~lives(english, H))) | (~lives(japanese, H))) <=> ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H))))),
% 0.55/0.66 inference(bind,[status(th)],[])).
% 0.55/0.66 tff(924,plain,
% 0.55/0.66 (![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(japanese, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.66 inference(quant_intro,[status(thm)],[923])).
% 0.55/0.66 tff(925,axiom,(![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_japanese_live_apart')).
% 0.55/0.66 tff(926,plain,
% 0.55/0.66 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[925, 924])).
% 0.55/0.66 tff(927,plain,
% 0.55/0.66 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[926, 922])).
% 0.55/0.66 tff(928,plain,(
% 0.55/0.66 ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.66 inference(skolemize,[status(sab)],[927])).
% 0.55/0.66 tff(929,plain,
% 0.55/0.66 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[928, 921])).
% 0.55/0.66 tff(930,plain,
% 0.55/0.66 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(english, house_3)) | (~house(house_3)) | (~lives(japanese, house_3)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(japanese, house_3)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(931,plain,
% 0.55/0.66 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(english, house_3)) | (~house(house_3)) | (~lives(japanese, house_3)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(932,plain,
% 0.55/0.66 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(japanese, H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(japanese, house_3))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[931, 930])).
% 0.55/0.66 tff(933,plain,
% 0.55/0.66 ((~lives(english, house_3)) | (~lives(japanese, house_3))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[932, 929, 14])).
% 0.55/0.66 tff(934,plain,
% 0.55/0.66 (~lives(english, house_3)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[933, 919])).
% 0.55/0.66 tff(935,assumption,(is_color(house_3, red)), introduced(assumption)).
% 0.55/0.66 tff(936,plain,
% 0.55/0.66 (~is_color(house_4, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[596, 935])).
% 0.55/0.66 tff(937,plain,
% 0.55/0.66 (~lives(english, house_4)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[100, 936])).
% 0.55/0.66 tff(938,plain,
% 0.55/0.66 (~is_color(house_5, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[590, 935])).
% 0.55/0.66 tff(939,plain,
% 0.55/0.66 (~lives(english, house_5)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[124, 938])).
% 0.55/0.66 tff(940,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_3, red)) | (~color(red)) | (~is_color(house_2, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_3, red)) | (~color(red)) | (~is_color(house_2, red)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(941,plain,
% 0.55/0.66 (((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_3, red))) <=> ((~is_color(house_3, red)) | (~color(red)) | (~is_color(house_2, red)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(942,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_3, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_3, red)) | (~color(red)) | (~is_color(house_2, red))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[941])).
% 0.55/0.66 tff(943,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_3, red)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_3, red)) | (~color(red)) | (~is_color(house_2, red)))),
% 0.55/0.66 inference(transitivity,[status(thm)],[942, 940])).
% 0.55/0.66 tff(944,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | ((~is_color(house_2, red)) | (~color(red)) | (~is_color(house_3, red)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(945,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_3, H)))) | (~is_color(house_3, red)) | (~color(red)) | (~is_color(house_2, red))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[944, 943])).
% 0.55/0.66 tff(946,plain,
% 0.55/0.66 ((~is_color(house_3, red)) | (~is_color(house_2, red))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[945, 302, 75])).
% 0.55/0.66 tff(947,plain,
% 0.55/0.66 (~is_color(house_2, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[946, 935])).
% 0.55/0.66 tff(948,plain,
% 0.55/0.66 (~lives(english, house_2)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[150, 947])).
% 0.55/0.66 tff(949,plain,
% 0.55/0.66 ($false),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[188, 948, 939, 102, 937])).
% 0.55/0.66 tff(950,plain,((~is_color(house_3, red)) | lives(english, house_3)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.66 tff(951,plain,
% 0.55/0.66 (~is_color(house_3, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[950, 934])).
% 0.55/0.66 tff(952,plain,
% 0.55/0.66 (~is_color(house_1, green)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[537, 951])).
% 0.55/0.66 tff(953,plain,
% 0.55/0.66 (~drinks(norwegian, coffee)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[614, 952])).
% 0.55/0.66 tff(954,plain,
% 0.55/0.66 (drinks(english, coffee)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[893, 953, 771, 702])).
% 0.55/0.66 tff(955,plain,
% 0.55/0.66 (~is_color(house_5, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[335, 951])).
% 0.55/0.66 tff(956,plain,
% 0.55/0.66 (~is_color(house_5, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[446, 951])).
% 0.55/0.66 tff(957,plain,
% 0.55/0.66 (~is_color(house_1, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[190, 934])).
% 0.55/0.66 tff(958,plain,
% 0.55/0.66 (~is_color(house_5, green)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[552, 957, 951])).
% 0.55/0.66 tff(959,plain,
% 0.55/0.66 (is_color(house_5, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[478, 958, 956, 955])).
% 0.55/0.66 tff(960,plain,
% 0.55/0.66 (~is_color(house_4, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[493, 959])).
% 0.55/0.66 tff(961,plain,
% 0.55/0.66 (~lives(english, house_4)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[100, 960])).
% 0.55/0.66 tff(962,plain,
% 0.55/0.66 (~is_color(house_2, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[564, 959])).
% 0.55/0.66 tff(963,plain,
% 0.55/0.66 (~lives(english, house_2)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[150, 962])).
% 0.55/0.66 tff(964,plain,
% 0.55/0.66 (lives(english, house_5)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[188, 963, 934, 961])).
% 0.55/0.66 tff(965,plain,
% 0.55/0.66 ($false),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[583, 35, 60, 577, 958, 964, 954])).
% 0.55/0.66 tff(966,plain,(drinks(english, milk) | (~drinks(spaniard, orange))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.66 tff(967,plain,
% 0.55/0.66 (~drinks(spaniard, orange)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[966, 43])).
% 0.55/0.66 tff(968,assumption,(~is_color(house_5, yellow)), introduced(assumption)).
% 0.55/0.66 tff(969,plain,
% 0.55/0.66 (~is_color(house_5, green)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[552, 1, 401])).
% 0.55/0.66 tff(970,plain,
% 0.55/0.66 (is_color(house_1, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[265, 400, 604, 401])).
% 0.55/0.66 tff(971,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_4, ivory)) | (~color(ivory)) | (~is_color(house_1, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_4, ivory)) | (~color(ivory)) | (~is_color(house_1, ivory)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(972,plain,
% 0.55/0.66 (((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_4, ivory))) <=> ((~is_color(house_4, ivory)) | (~color(ivory)) | (~is_color(house_1, ivory)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(973,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_4, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_4, ivory)) | (~color(ivory)) | (~is_color(house_1, ivory))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[972])).
% 0.55/0.66 tff(974,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_4, ivory)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_4, ivory)) | (~color(ivory)) | (~is_color(house_1, ivory)))),
% 0.55/0.66 inference(transitivity,[status(thm)],[973, 971])).
% 0.55/0.66 tff(975,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, ivory)) | (~color(ivory)) | (~is_color(house_4, ivory)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(976,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_4, ivory)) | (~color(ivory)) | (~is_color(house_1, ivory))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[975, 974])).
% 0.55/0.66 tff(977,plain,
% 0.55/0.66 ((~is_color(house_4, ivory)) | (~is_color(house_1, ivory))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[976, 85, 194])).
% 0.55/0.66 tff(978,plain,
% 0.55/0.66 (~is_color(house_4, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[977, 970])).
% 0.55/0.66 tff(979,assumption,(~is_color(house_5, green)), introduced(assumption)).
% 0.55/0.66 tff(980,assumption,(is_color(house_3, ivory)), introduced(assumption)).
% 0.55/0.66 tff(981,plain,
% 0.55/0.66 (~is_color(house_5, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[280, 980])).
% 0.55/0.66 tff(982,plain,
% 0.55/0.66 (is_color(house_5, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[478, 981, 979, 968])).
% 0.55/0.66 tff(983,assumption,(~is_color(house_1, green)), introduced(assumption)).
% 0.55/0.66 tff(984,plain,
% 0.55/0.66 (~is_color(house_1, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[432, 980])).
% 0.55/0.66 tff(985,plain,
% 0.55/0.66 (is_color(house_1, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[265, 984, 400, 983])).
% 0.55/0.66 tff(986,plain,
% 0.55/0.66 ($false),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[119, 985, 982])).
% 0.55/0.66 tff(987,plain,((~is_color(house_3, ivory)) | is_color(house_1, yellow) | is_color(house_1, green) | is_color(house_5, green) | is_color(house_5, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.66 tff(988,plain,
% 0.55/0.66 (~is_color(house_3, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[987, 400, 968, 969, 604])).
% 0.55/0.66 tff(989,assumption,(is_color(house_1, ivory)), introduced(assumption)).
% 0.55/0.66 tff(990,plain,
% 0.55/0.66 ((~left_of(house_1, house_4)) <=> (~left_of(house_1, house_4))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(991,axiom,(~left_of(house_1, house_4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_1_not_left_of_house_4')).
% 0.55/0.66 tff(992,plain,
% 0.55/0.66 (~left_of(house_1, house_4)),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[991, 990])).
% 0.55/0.66 tff(993,plain,
% 0.55/0.66 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_1, house_4) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_4, green)) | (~is_color(house_1, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_4) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_4, green)) | (~is_color(house_1, ivory)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(994,plain,
% 0.55/0.66 (((~house(house_4)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_4, green)) | left_of(house_1, house_4)) <=> (left_of(house_1, house_4) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_4, green)) | (~is_color(house_1, ivory)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(995,plain,
% 0.55/0.66 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_4)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_4, green)) | left_of(house_1, house_4))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_1, house_4) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_4, green)) | (~is_color(house_1, ivory))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[994])).
% 0.55/0.66 tff(996,plain,
% 0.55/0.66 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_4)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_4, green)) | left_of(house_1, house_4))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_4) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_4, green)) | (~is_color(house_1, ivory)))),
% 0.55/0.66 inference(transitivity,[status(thm)],[995, 993])).
% 0.55/0.66 tff(997,plain,
% 0.55/0.66 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_4)) | (~house(house_1)) | (~is_color(house_1, ivory)) | (~is_color(house_4, green)) | left_of(house_1, house_4))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(998,plain,
% 0.55/0.66 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_1, house_4) | (~house(house_1)) | (~house(house_4)) | (~is_color(house_4, green)) | (~is_color(house_1, ivory))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[997, 996])).
% 0.55/0.66 tff(999,plain,
% 0.55/0.66 ((~is_color(house_4, green)) | (~is_color(house_1, ivory))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[998, 63, 96, 57, 992])).
% 0.55/0.66 tff(1000,plain,
% 0.55/0.66 (~is_color(house_4, green)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[999, 989])).
% 0.55/0.66 tff(1001,assumption,(~is_color(house_4, ivory)), introduced(assumption)).
% 0.55/0.66 tff(1002,plain,
% 0.55/0.66 (~is_color(house_5, ivory)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[201, 989])).
% 0.55/0.66 tff(1003,plain,
% 0.55/0.66 (is_color(house_5, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[478, 1002, 979, 968])).
% 0.55/0.66 tff(1004,plain,
% 0.55/0.66 (~is_color(house_4, red)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[493, 1003])).
% 0.55/0.66 tff(1005,assumption,(~is_color(house_3, ivory)), introduced(assumption)).
% 0.55/0.66 tff(1006,plain,
% 0.55/0.66 (~is_color(house_3, green)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[420, 989])).
% 0.55/0.66 tff(1007,plain,
% 0.55/0.66 (is_color(house_3, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[315, 1006, 1, 1005])).
% 0.55/0.66 tff(1008,plain,
% 0.55/0.66 (~is_color(house_4, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[511, 1007])).
% 0.55/0.66 tff(1009,plain,
% 0.55/0.66 ($false),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[535, 1008, 1004, 1001, 1000])).
% 0.55/0.66 tff(1010,plain,((~is_color(house_1, ivory)) | is_color(house_4, ivory) | is_color(house_3, red) | is_color(house_3, ivory) | is_color(house_5, green) | is_color(house_5, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.66 tff(1011,plain,
% 0.55/0.66 ($false),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1010, 988, 970, 1, 978, 969, 968])).
% 0.55/0.66 tff(1012,plain,(is_color(house_1, yellow) | is_color(house_3, red) | is_color(house_5, yellow) | is_color(house_1, red)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.66 tff(1013,plain,
% 0.55/0.66 (is_color(house_1, yellow) | is_color(house_3, red) | is_color(house_5, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1012, 347])).
% 0.55/0.66 tff(1014,plain,
% 0.55/0.66 (is_color(house_1, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1013, 1, 447])).
% 0.55/0.66 tff(1015,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_4, yellow)))) <=> ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_4, yellow)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1016,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_4, yellow)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(1017,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_1, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_4, yellow))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 0.55/0.66 tff(1018,plain,
% 0.55/0.66 ((~is_color(house_1, yellow)) | (~is_color(house_4, yellow))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1017, 85, 319])).
% 0.55/0.66 tff(1019,plain,
% 0.55/0.66 (~is_color(house_4, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1018, 1014])).
% 0.55/0.66 tff(1020,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_2, yellow)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_2, yellow)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1021,plain,
% 0.55/0.66 (((~is_color(house_2, yellow)) | (~is_color(house_1, yellow)) | (~color(yellow))) <=> ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_2, yellow)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1022,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, yellow)) | (~is_color(house_1, yellow)) | (~color(yellow)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_2, yellow))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[1021])).
% 0.55/0.66 tff(1023,plain,
% 0.55/0.66 (((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, yellow)) | (~is_color(house_1, yellow)) | (~color(yellow)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_2, yellow)))),
% 0.55/0.66 inference(transitivity,[status(thm)],[1022, 1020])).
% 0.55/0.66 tff(1024,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | ((~is_color(house_2, yellow)) | (~is_color(house_1, yellow)) | (~color(yellow)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(1025,plain,
% 0.55/0.66 ((~![H: $i] : ((~is_color(house_2, H)) | (~is_color(house_1, H)) | (~color(H)))) | (~is_color(house_1, yellow)) | (~color(yellow)) | (~is_color(house_2, yellow))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 0.55/0.66 tff(1026,plain,
% 0.55/0.66 ((~is_color(house_1, yellow)) | (~is_color(house_2, yellow))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1025, 135, 319])).
% 0.55/0.66 tff(1027,plain,
% 0.55/0.66 (~is_color(house_2, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1026, 1014])).
% 0.55/0.66 tff(1028,plain,
% 0.55/0.66 (~is_color(house_3, yellow)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[333, 1014])).
% 0.55/0.66 tff(1029,plain,
% 0.55/0.66 (^[H: $i] : refl(((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H))) <=> ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H))))),
% 0.55/0.66 inference(bind,[status(th)],[])).
% 0.55/0.66 tff(1030,plain,
% 0.55/0.66 (![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(quant_intro,[status(thm)],[1029])).
% 0.55/0.66 tff(1031,plain,
% 0.55/0.66 (![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1032,plain,
% 0.55/0.66 (^[H: $i] : rewrite((((~house(H)) | (~lives(english, H))) | (~lives(spaniard, H))) <=> ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H))))),
% 0.55/0.66 inference(bind,[status(th)],[])).
% 0.55/0.66 tff(1033,plain,
% 0.55/0.66 (![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(spaniard, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(quant_intro,[status(thm)],[1032])).
% 0.55/0.66 tff(1034,axiom,(![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(spaniard, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_spaniard_live_apart')).
% 0.55/0.66 tff(1035,plain,
% 0.55/0.66 (![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 0.55/0.66 tff(1036,plain,
% 0.55/0.66 (![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1035, 1031])).
% 0.55/0.66 tff(1037,plain,(
% 0.55/0.66 ![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(skolemize,[status(sab)],[1036])).
% 0.55/0.66 tff(1038,plain,
% 0.55/0.66 (![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1037, 1030])).
% 0.55/0.66 tff(1039,plain,
% 0.55/0.66 (((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(english, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | (~lives(english, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1040,plain,
% 0.55/0.66 (((~lives(spaniard, house_5)) | (~lives(english, house_5)) | (~house(house_5))) <=> ((~lives(english, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1041,plain,
% 0.55/0.66 (((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(spaniard, house_5)) | (~lives(english, house_5)) | (~house(house_5)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(english, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[1040])).
% 0.55/0.66 tff(1042,plain,
% 0.55/0.66 (((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(spaniard, house_5)) | (~lives(english, house_5)) | (~house(house_5)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | (~lives(english, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))),
% 0.55/0.66 inference(transitivity,[status(thm)],[1041, 1039])).
% 0.55/0.66 tff(1043,plain,
% 0.55/0.66 ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(spaniard, house_5)) | (~lives(english, house_5)) | (~house(house_5)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(1044,plain,
% 0.55/0.66 ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | (~lives(english, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 0.55/0.66 tff(1045,plain,
% 0.55/0.66 ((~lives(english, house_5)) | (~lives(spaniard, house_5))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1044, 1038, 60])).
% 0.55/0.66 tff(1046,plain,
% 0.55/0.66 (~lives(spaniard, house_5)),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[1045, 567])).
% 0.55/0.66 tff(1047,assumption,(~is_color(house_4, yellow)), introduced(assumption)).
% 0.55/0.66 tff(1048,assumption,(drives(spaniard, masserati)), introduced(assumption)).
% 0.55/0.66 tff(1049,assumption,(~is_color(house_3, yellow)), introduced(assumption)).
% 0.55/0.66 tff(1050,assumption,(lives(spaniard, house_3)), introduced(assumption)).
% 0.55/0.66 tff(1051,plain,
% 0.55/0.66 (^[Person: $i, H: $i] : refl(((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person))) <=> ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person))))),
% 0.55/0.66 inference(bind,[status(th)],[])).
% 0.55/0.66 tff(1052,plain,
% 0.55/0.66 (![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person))) <=> ![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(quant_intro,[status(thm)],[1051])).
% 0.55/0.66 tff(1053,plain,
% 0.55/0.66 (![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person))) <=> ![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1054,plain,
% 0.55/0.66 (^[Person: $i, H: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((is_color(H, yellow) | (~person(Person))) <=> (is_color(H, yellow) | (~person(Person)))), (((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) <=> ((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))))), rewrite(((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) <=> (is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person)))), (((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) <=> (is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person))))), ((((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) | (~house(H))) <=> ((is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person))) | (~house(H))))), rewrite(((is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person))) | (~house(H))) <=> ((~house(H)) | is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person)))), ((((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) | (~house(H))) <=> ((~house(H)) | is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person))))), (((((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) | (~house(H))) | (~lives(Person, H))) <=> (((~house(H)) | is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person))) | (~lives(Person, H))))), rewrite((((~house(H)) | is_color(H, yellow) | (~drives(Person, masserati)) | (~person(Person))) | (~lives(Person, H))) <=> ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))), (((((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) | (~house(H))) | (~lives(Person, H))) <=> ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))))),
% 0.55/0.66 inference(bind,[status(th)],[])).
% 0.55/0.66 tff(1055,plain,
% 0.55/0.66 (![Person: $i, H: $i] : ((((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) | (~house(H))) | (~lives(Person, H))) <=> ![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(quant_intro,[status(thm)],[1054])).
% 0.55/0.66 tff(1056,axiom,(![Person: $i, H: $i] : ((((is_color(H, yellow) | (~person(Person))) | (~drives(Person, masserati))) | (~house(H))) | (~lives(Person, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','masserati_in_yellow_house')).
% 0.55/0.66 tff(1057,plain,
% 0.55/0.66 (![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1056, 1055])).
% 0.55/0.66 tff(1058,plain,
% 0.55/0.66 (![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1057, 1053])).
% 0.55/0.66 tff(1059,plain,(
% 0.55/0.66 ![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(skolemize,[status(sab)],[1058])).
% 0.55/0.66 tff(1060,plain,
% 0.55/0.66 (![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1059, 1052])).
% 0.55/0.66 tff(1061,plain,
% 0.55/0.66 (person(spaniard) <=> person(spaniard)),
% 0.55/0.66 inference(rewrite,[status(thm)],[])).
% 0.55/0.66 tff(1062,axiom,(person(spaniard)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard')).
% 0.55/0.66 tff(1063,plain,
% 0.55/0.66 (person(spaniard)),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 0.55/0.66 tff(1064,plain,
% 0.55/0.66 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(spaniard)) | (~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1065,plain,
% 0.55/0.67 (((~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)) | (~person(spaniard))) <=> ((~person(spaniard)) | (~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1066,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(spaniard)) | (~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati))))),
% 0.55/0.67 inference(monotonicity,[status(thm)],[1065])).
% 0.55/0.67 tff(1067,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(transitivity,[status(thm)],[1066, 1064])).
% 0.55/0.67 tff(1068,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati)) | (~person(spaniard)))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(1069,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_3)) | is_color(house_3, yellow) | (~lives(spaniard, house_3)) | (~drives(spaniard, masserati))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 0.55/0.67 tff(1070,plain,
% 0.55/0.67 ($false),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1069, 1063, 14, 1060, 1050, 1048, 1049])).
% 0.55/0.67 tff(1071,plain,((~lives(spaniard, house_3)) | (~drives(spaniard, masserati)) | is_color(house_3, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.67 tff(1072,plain,
% 0.55/0.67 (~lives(spaniard, house_3)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1071, 1048, 1049])).
% 0.55/0.67 tff(1073,assumption,(~lives(spaniard, house_5)), introduced(assumption)).
% 0.55/0.67 tff(1074,assumption,(~is_color(house_2, yellow)), introduced(assumption)).
% 0.55/0.67 tff(1075,assumption,(lives(spaniard, house_2)), introduced(assumption)).
% 0.55/0.67 tff(1076,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(spaniard)) | (~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1077,plain,
% 0.55/0.67 (((~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)) | (~person(spaniard))) <=> ((~person(spaniard)) | (~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1078,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(spaniard)) | (~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati))))),
% 0.55/0.67 inference(monotonicity,[status(thm)],[1077])).
% 0.55/0.67 tff(1079,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(transitivity,[status(thm)],[1078, 1076])).
% 0.55/0.67 tff(1080,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati)) | (~person(spaniard)))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(1081,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_2)) | is_color(house_2, yellow) | (~lives(spaniard, house_2)) | (~drives(spaniard, masserati))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 0.55/0.67 tff(1082,plain,
% 0.55/0.67 ($false),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1081, 1063, 146, 1060, 1048, 1075, 1074])).
% 0.55/0.67 tff(1083,plain,((~lives(spaniard, house_2)) | (~drives(spaniard, masserati)) | is_color(house_2, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.67 tff(1084,plain,
% 0.55/0.67 (~lives(spaniard, house_2)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1083, 1048, 1074])).
% 0.55/0.67 tff(1085,plain,
% 0.55/0.67 (^[H: $i] : refl(((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H))) <=> ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H))))),
% 0.55/0.67 inference(bind,[status(th)],[])).
% 0.55/0.67 tff(1086,plain,
% 0.55/0.67 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(quant_intro,[status(thm)],[1085])).
% 0.55/0.67 tff(1087,plain,
% 0.55/0.67 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1088,plain,
% 0.55/0.67 (^[H: $i] : rewrite((((~house(H)) | (~lives(spaniard, H))) | (~lives(norwegian, H))) <=> ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H))))),
% 0.55/0.67 inference(bind,[status(th)],[])).
% 0.55/0.67 tff(1089,plain,
% 0.55/0.67 (![H: $i] : (((~house(H)) | (~lives(spaniard, H))) | (~lives(norwegian, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(quant_intro,[status(thm)],[1088])).
% 0.55/0.67 tff(1090,axiom,(![H: $i] : (((~house(H)) | (~lives(spaniard, H))) | (~lives(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_norwegian_live_apart')).
% 0.55/0.67 tff(1091,plain,
% 0.55/0.67 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 0.55/0.67 tff(1092,plain,
% 0.55/0.67 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1091, 1087])).
% 0.55/0.67 tff(1093,plain,(
% 0.55/0.67 ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(skolemize,[status(sab)],[1092])).
% 0.55/0.67 tff(1094,plain,
% 0.55/0.67 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1093, 1086])).
% 0.55/0.67 tff(1095,plain,
% 0.55/0.67 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(spaniard, house_1)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(spaniard, house_1)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1096,plain,
% 0.55/0.67 (((~lives(spaniard, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1))) <=> ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(spaniard, house_1)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1097,plain,
% 0.55/0.67 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(spaniard, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(spaniard, house_1))))),
% 0.55/0.67 inference(monotonicity,[status(thm)],[1096])).
% 0.55/0.67 tff(1098,plain,
% 0.55/0.67 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(spaniard, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(spaniard, house_1)))),
% 0.55/0.67 inference(transitivity,[status(thm)],[1097, 1095])).
% 0.55/0.67 tff(1099,plain,
% 0.55/0.67 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | ((~lives(spaniard, house_1)) | (~house(house_1)) | (~lives(norwegian, house_1)))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(1100,plain,
% 0.55/0.67 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(norwegian, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(spaniard, house_1))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1099, 1098])).
% 0.55/0.67 tff(1101,plain,
% 0.55/0.67 (~lives(spaniard, house_1)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1100, 1094, 63, 154])).
% 0.55/0.67 tff(1102,plain,
% 0.55/0.67 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(spaniard, house_4) | lives(spaniard, house_1) | lives(spaniard, house_3) | (~person(spaniard)) | lives(spaniard, house_5) | lives(spaniard, house_2))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(spaniard, house_4) | lives(spaniard, house_1) | lives(spaniard, house_3) | (~person(spaniard)) | lives(spaniard, house_5) | lives(spaniard, house_2))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1103,plain,
% 0.55/0.67 ((lives(spaniard, house_5) | lives(spaniard, house_4) | lives(spaniard, house_3) | lives(spaniard, house_2) | lives(spaniard, house_1) | (~person(spaniard))) <=> (lives(spaniard, house_4) | lives(spaniard, house_1) | lives(spaniard, house_3) | (~person(spaniard)) | lives(spaniard, house_5) | lives(spaniard, house_2))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1104,plain,
% 0.55/0.67 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(spaniard, house_5) | lives(spaniard, house_4) | lives(spaniard, house_3) | lives(spaniard, house_2) | lives(spaniard, house_1) | (~person(spaniard)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(spaniard, house_4) | lives(spaniard, house_1) | lives(spaniard, house_3) | (~person(spaniard)) | lives(spaniard, house_5) | lives(spaniard, house_2)))),
% 0.55/0.67 inference(monotonicity,[status(thm)],[1103])).
% 0.55/0.67 tff(1105,plain,
% 0.55/0.67 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(spaniard, house_5) | lives(spaniard, house_4) | lives(spaniard, house_3) | lives(spaniard, house_2) | lives(spaniard, house_1) | (~person(spaniard)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(spaniard, house_4) | lives(spaniard, house_1) | lives(spaniard, house_3) | (~person(spaniard)) | lives(spaniard, house_5) | lives(spaniard, house_2))),
% 0.55/0.67 inference(transitivity,[status(thm)],[1104, 1102])).
% 0.55/0.67 tff(1106,plain,
% 0.55/0.67 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(spaniard, house_5) | lives(spaniard, house_4) | lives(spaniard, house_3) | lives(spaniard, house_2) | lives(spaniard, house_1) | (~person(spaniard)))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(1107,plain,
% 0.55/0.67 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(spaniard, house_4) | lives(spaniard, house_1) | lives(spaniard, house_3) | (~person(spaniard)) | lives(spaniard, house_5) | lives(spaniard, house_2)),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 0.55/0.67 tff(1108,plain,
% 0.55/0.67 (lives(spaniard, house_4) | lives(spaniard, house_3) | lives(spaniard, house_5) | lives(spaniard, house_2)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1107, 181, 1063, 1101])).
% 0.55/0.67 tff(1109,plain,
% 0.55/0.67 (lives(spaniard, house_4)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1108, 1084, 1073, 1072])).
% 0.55/0.67 tff(1110,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~lives(spaniard, house_4)) | (~person(spaniard)) | (~house(house_4)) | is_color(house_4, yellow) | (~drives(spaniard, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(spaniard, house_4)) | (~person(spaniard)) | (~house(house_4)) | is_color(house_4, yellow) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1111,plain,
% 0.55/0.67 (((~house(house_4)) | is_color(house_4, yellow) | (~lives(spaniard, house_4)) | (~drives(spaniard, masserati)) | (~person(spaniard))) <=> ((~lives(spaniard, house_4)) | (~person(spaniard)) | (~house(house_4)) | is_color(house_4, yellow) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1112,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_4)) | is_color(house_4, yellow) | (~lives(spaniard, house_4)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~lives(spaniard, house_4)) | (~person(spaniard)) | (~house(house_4)) | is_color(house_4, yellow) | (~drives(spaniard, masserati))))),
% 0.55/0.67 inference(monotonicity,[status(thm)],[1111])).
% 0.55/0.67 tff(1113,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_4)) | is_color(house_4, yellow) | (~lives(spaniard, house_4)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(spaniard, house_4)) | (~person(spaniard)) | (~house(house_4)) | is_color(house_4, yellow) | (~drives(spaniard, masserati)))),
% 0.55/0.67 inference(transitivity,[status(thm)],[1112, 1110])).
% 0.55/0.67 tff(1114,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_4)) | is_color(house_4, yellow) | (~lives(spaniard, house_4)) | (~drives(spaniard, masserati)) | (~person(spaniard)))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(1115,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(spaniard, house_4)) | (~person(spaniard)) | (~house(house_4)) | is_color(house_4, yellow) | (~drives(spaniard, masserati))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 0.55/0.67 tff(1116,plain,
% 0.55/0.67 ($false),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1115, 1063, 96, 1060, 1109, 1048, 1047])).
% 0.55/0.67 tff(1117,plain,((~drives(spaniard, masserati)) | is_color(house_4, yellow) | lives(spaniard, house_5) | is_color(house_2, yellow) | is_color(house_3, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.67 tff(1118,plain,
% 0.55/0.67 (~drives(spaniard, masserati)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1117, 1046, 1028, 1019, 1027])).
% 0.55/0.67 tff(1119,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, yellow) | (~drives(english, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, yellow) | (~drives(english, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1120,plain,
% 0.55/0.67 (((~house(house_5)) | is_color(house_5, yellow) | (~lives(english, house_5)) | (~drives(english, masserati)) | (~person(english))) <=> ((~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, yellow) | (~drives(english, masserati)))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(1121,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(english, house_5)) | (~drives(english, masserati)) | (~person(english)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, yellow) | (~drives(english, masserati))))),
% 0.55/0.67 inference(monotonicity,[status(thm)],[1120])).
% 0.55/0.67 tff(1122,plain,
% 0.55/0.67 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(english, house_5)) | (~drives(english, masserati)) | (~person(english)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, yellow) | (~drives(english, masserati)))),
% 0.55/0.67 inference(transitivity,[status(thm)],[1121, 1119])).
% 0.55/0.67 tff(1123,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(english, house_5)) | (~drives(english, masserati)) | (~person(english)))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(1124,plain,
% 0.55/0.67 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | is_color(house_5, yellow) | (~drives(english, masserati))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 0.55/0.67 tff(1125,plain,
% 0.55/0.67 (~drives(english, masserati)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[1124, 35, 60, 1060, 567, 447])).
% 0.55/0.67 tff(1126,assumption,(~is_color(house_4, red)), introduced(assumption)).
% 0.55/0.67 tff(1127,assumption,(is_color(house_2, green)), introduced(assumption)).
% 0.55/0.67 tff(1128,plain,
% 0.55/0.67 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_2, green)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_2, green)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1129,plain,
% 0.58/0.68 (((~is_color(house_2, green)) | (~color(green)) | (~is_color(house_4, green))) <=> ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_2, green)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1130,plain,
% 0.58/0.68 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_2, green)) | (~color(green)) | (~is_color(house_4, green)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_2, green))))),
% 0.58/0.68 inference(monotonicity,[status(thm)],[1129])).
% 0.58/0.68 tff(1131,plain,
% 0.58/0.68 (((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_2, green)) | (~color(green)) | (~is_color(house_4, green)))) <=> ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_2, green)))),
% 0.58/0.68 inference(transitivity,[status(thm)],[1130, 1128])).
% 0.58/0.68 tff(1132,plain,
% 0.58/0.68 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | ((~is_color(house_2, green)) | (~color(green)) | (~is_color(house_4, green)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1133,plain,
% 0.58/0.68 ((~![H: $i] : ((~is_color(house_2, H)) | (~color(H)) | (~is_color(house_4, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_2, green))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 0.58/0.68 tff(1134,plain,
% 0.58/0.68 ((~is_color(house_4, green)) | (~is_color(house_2, green))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1133, 522, 362])).
% 0.58/0.68 tff(1135,plain,
% 0.58/0.68 (~is_color(house_4, green)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1134, 1127])).
% 0.58/0.68 tff(1136,plain,
% 0.58/0.68 ((~left_of(house_4, house_2)) <=> (~left_of(house_4, house_2))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1137,axiom,(~left_of(house_4, house_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_4_not_left_of_house_2')).
% 0.58/0.68 tff(1138,plain,
% 0.58/0.68 (~left_of(house_4, house_2)),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 0.58/0.68 tff(1139,plain,
% 0.58/0.68 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_4, house_2) | (~is_color(house_4, ivory)) | (~house(house_2)) | (~house(house_4)) | (~is_color(house_2, green)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_4, house_2) | (~is_color(house_4, ivory)) | (~house(house_2)) | (~house(house_4)) | (~is_color(house_2, green)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1140,plain,
% 0.58/0.68 (((~house(house_2)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_2, green)) | left_of(house_4, house_2)) <=> (left_of(house_4, house_2) | (~is_color(house_4, ivory)) | (~house(house_2)) | (~house(house_4)) | (~is_color(house_2, green)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1141,plain,
% 0.58/0.68 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_2)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_2, green)) | left_of(house_4, house_2))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_4, house_2) | (~is_color(house_4, ivory)) | (~house(house_2)) | (~house(house_4)) | (~is_color(house_2, green))))),
% 0.58/0.68 inference(monotonicity,[status(thm)],[1140])).
% 0.58/0.68 tff(1142,plain,
% 0.58/0.68 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_2)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_2, green)) | left_of(house_4, house_2))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_4, house_2) | (~is_color(house_4, ivory)) | (~house(house_2)) | (~house(house_4)) | (~is_color(house_2, green)))),
% 0.58/0.68 inference(transitivity,[status(thm)],[1141, 1139])).
% 0.58/0.68 tff(1143,plain,
% 0.58/0.68 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_2)) | (~house(house_4)) | (~is_color(house_4, ivory)) | (~is_color(house_2, green)) | left_of(house_4, house_2))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1144,plain,
% 0.58/0.68 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_4, house_2) | (~is_color(house_4, ivory)) | (~house(house_2)) | (~house(house_4)) | (~is_color(house_2, green))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 0.58/0.68 tff(1145,plain,
% 0.58/0.68 ((~is_color(house_4, ivory)) | (~is_color(house_2, green))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1144, 146, 96, 57, 1138])).
% 0.58/0.68 tff(1146,plain,
% 0.58/0.68 (~is_color(house_4, ivory)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1145, 1127])).
% 0.58/0.68 tff(1147,plain,
% 0.58/0.68 ($false),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[535, 1146, 1135, 1126, 1047])).
% 0.58/0.68 tff(1148,plain,((~is_color(house_2, green)) | is_color(house_4, red) | is_color(house_4, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.68 tff(1149,plain,
% 0.58/0.68 (~is_color(house_2, green)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1148, 1019, 556])).
% 0.58/0.68 tff(1150,assumption,(~drinks(spaniard, orange)), introduced(assumption)).
% 0.58/0.68 tff(1151,plain,
% 0.58/0.68 (^[P: $i] : refl(((~person(P)) | drinks(P, orange) | (~drives(P, honda))) <=> ((~person(P)) | drinks(P, orange) | (~drives(P, honda))))),
% 0.58/0.68 inference(bind,[status(th)],[])).
% 0.58/0.68 tff(1152,plain,
% 0.58/0.68 (![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda))) <=> ![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(quant_intro,[status(thm)],[1151])).
% 0.58/0.68 tff(1153,plain,
% 0.58/0.68 (![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda))) <=> ![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1154,plain,
% 0.58/0.68 (^[P: $i] : trans(monotonicity(rewrite((drinks(P, orange) | (~person(P))) <=> ((~person(P)) | drinks(P, orange))), (((drinks(P, orange) | (~person(P))) | (~drives(P, honda))) <=> (((~person(P)) | drinks(P, orange)) | (~drives(P, honda))))), rewrite((((~person(P)) | drinks(P, orange)) | (~drives(P, honda))) <=> ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))), (((drinks(P, orange) | (~person(P))) | (~drives(P, honda))) <=> ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))))),
% 0.58/0.68 inference(bind,[status(th)],[])).
% 0.58/0.68 tff(1155,plain,
% 0.58/0.68 (![P: $i] : ((drinks(P, orange) | (~person(P))) | (~drives(P, honda))) <=> ![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(quant_intro,[status(thm)],[1154])).
% 0.58/0.68 tff(1156,axiom,(![P: $i] : ((drinks(P, orange) | (~person(P))) | (~drives(P, honda)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','honda_with_orange')).
% 0.58/0.68 tff(1157,plain,
% 0.58/0.68 (![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 0.58/0.68 tff(1158,plain,
% 0.58/0.68 (![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1157, 1153])).
% 0.58/0.68 tff(1159,plain,(
% 0.58/0.68 ![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(skolemize,[status(sab)],[1158])).
% 0.58/0.68 tff(1160,plain,
% 0.58/0.68 (![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1159, 1152])).
% 0.58/0.68 tff(1161,plain,
% 0.58/0.68 (((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (drinks(spaniard, orange) | (~drives(spaniard, honda)) | (~person(spaniard)))) <=> ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | drinks(spaniard, orange) | (~drives(spaniard, honda)) | (~person(spaniard)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1162,plain,
% 0.58/0.68 (((~person(spaniard)) | drinks(spaniard, orange) | (~drives(spaniard, honda))) <=> (drinks(spaniard, orange) | (~drives(spaniard, honda)) | (~person(spaniard)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1163,plain,
% 0.58/0.68 (((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(spaniard)) | drinks(spaniard, orange) | (~drives(spaniard, honda)))) <=> ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (drinks(spaniard, orange) | (~drives(spaniard, honda)) | (~person(spaniard))))),
% 0.58/0.68 inference(monotonicity,[status(thm)],[1162])).
% 0.58/0.68 tff(1164,plain,
% 0.58/0.68 (((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(spaniard)) | drinks(spaniard, orange) | (~drives(spaniard, honda)))) <=> ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | drinks(spaniard, orange) | (~drives(spaniard, honda)) | (~person(spaniard)))),
% 0.58/0.68 inference(transitivity,[status(thm)],[1163, 1161])).
% 0.58/0.68 tff(1165,plain,
% 0.58/0.68 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(spaniard)) | drinks(spaniard, orange) | (~drives(spaniard, honda)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1166,plain,
% 0.58/0.68 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | drinks(spaniard, orange) | (~drives(spaniard, honda)) | (~person(spaniard))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 0.58/0.68 tff(1167,plain,
% 0.58/0.68 (drinks(spaniard, orange) | (~drives(spaniard, honda))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1166, 1063, 1160])).
% 0.58/0.68 tff(1168,plain,
% 0.58/0.68 (~drives(spaniard, honda)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1167, 1150])).
% 0.58/0.68 tff(1169,assumption,(~drives(spaniard, masserati)), introduced(assumption)).
% 0.58/0.68 tff(1170,assumption,(~drives(english, masserati)), introduced(assumption)).
% 0.58/0.68 tff(1171,assumption,(drinks(ukranian, orange)), introduced(assumption)).
% 0.58/0.68 tff(1172,plain,
% 0.58/0.68 (((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(japanese, orange)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(japanese, orange)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1173,plain,
% 0.58/0.68 ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(japanese, orange)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1174,plain,
% 0.58/0.68 ((~![H: $i] : ((~drink(H)) | (~drinks(ukranian, H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(japanese, orange))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 0.58/0.68 tff(1175,plain,
% 0.58/0.68 ((~drinks(ukranian, orange)) | (~drinks(japanese, orange))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1174, 825, 749])).
% 0.58/0.68 tff(1176,plain,
% 0.58/0.68 (~drinks(japanese, orange)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1175, 1171])).
% 0.58/0.68 tff(1177,plain,
% 0.58/0.68 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(ukranian, orange)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | (~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(ukranian, orange)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1178,plain,
% 0.58/0.68 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(ukranian, orange)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1179,plain,
% 0.58/0.68 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(ukranian, H)))) | (~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(ukranian, orange))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 0.58/0.68 tff(1180,plain,
% 0.58/0.68 ((~drinks(norwegian, orange)) | (~drinks(ukranian, orange))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1179, 654, 749])).
% 0.58/0.68 tff(1181,plain,
% 0.58/0.68 (~drinks(norwegian, orange)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1180, 1171])).
% 0.58/0.68 tff(1182,plain,
% 0.58/0.68 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(english, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(english, orange)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1183,plain,
% 0.58/0.68 (((~drinks(english, orange)) | (~drink(orange)) | (~drinks(ukranian, orange))) <=> ((~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(english, orange)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1184,plain,
% 0.58/0.68 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(ukranian, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(english, orange))))),
% 0.58/0.68 inference(monotonicity,[status(thm)],[1183])).
% 0.58/0.68 tff(1185,plain,
% 0.58/0.68 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(ukranian, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(english, orange)))),
% 0.58/0.68 inference(transitivity,[status(thm)],[1184, 1182])).
% 0.58/0.68 tff(1186,plain,
% 0.58/0.68 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(ukranian, orange)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1187,plain,
% 0.58/0.68 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drink(orange)) | (~drinks(ukranian, orange)) | (~drinks(english, orange))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 0.58/0.68 tff(1188,plain,
% 0.58/0.68 ((~drinks(ukranian, orange)) | (~drinks(english, orange))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1187, 730, 749])).
% 0.58/0.68 tff(1189,plain,
% 0.58/0.68 (~drinks(english, orange)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1188, 1171])).
% 0.58/0.68 tff(1190,plain,
% 0.58/0.68 (drinks(norwegian, water)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[699, 1181, 615])).
% 0.58/0.68 tff(1191,assumption,(drinks(norwegian, water)), introduced(assumption)).
% 0.58/0.68 tff(1192,plain,
% 0.58/0.68 (~drinks(english, water)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[891, 1191])).
% 0.58/0.68 tff(1193,assumption,(~drinks(english, orange)), introduced(assumption)).
% 0.58/0.68 tff(1194,plain,
% 0.58/0.68 (~drinks(japanese, water)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[871, 1191])).
% 0.58/0.68 tff(1195,plain,
% 0.58/0.68 (~drinks(spaniard, water)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[637, 1191])).
% 0.58/0.68 tff(1196,assumption,(~drinks(japanese, water)), introduced(assumption)).
% 0.58/0.68 tff(1197,assumption,(lives(english, house_3)), introduced(assumption)).
% 0.58/0.68 tff(1198,plain,
% 0.58/0.68 (~lives(japanese, house_3)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[933, 1197])).
% 0.58/0.68 tff(1199,plain,
% 0.58/0.68 (~drinks(japanese, milk)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[918, 1198])).
% 0.58/0.68 tff(1200,plain,
% 0.58/0.68 (drinks(japanese, coffee)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[843, 1199, 793, 1196])).
% 0.58/0.68 tff(1201,assumption,(~drinks(spaniard, water)), introduced(assumption)).
% 0.58/0.68 tff(1202,plain,
% 0.58/0.68 (((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(english, house_3)) | (~house(house_3)) | (~lives(spaniard, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(spaniard, house_3)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1203,plain,
% 0.58/0.68 (((~lives(spaniard, house_3)) | (~lives(english, house_3)) | (~house(house_3))) <=> ((~lives(english, house_3)) | (~house(house_3)) | (~lives(spaniard, house_3)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1204,plain,
% 0.58/0.68 (((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(spaniard, house_3)) | (~lives(english, house_3)) | (~house(house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(english, house_3)) | (~house(house_3)) | (~lives(spaniard, house_3))))),
% 0.58/0.68 inference(monotonicity,[status(thm)],[1203])).
% 0.58/0.68 tff(1205,plain,
% 0.58/0.68 (((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(spaniard, house_3)) | (~lives(english, house_3)) | (~house(house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(spaniard, house_3)))),
% 0.58/0.68 inference(transitivity,[status(thm)],[1204, 1202])).
% 0.58/0.68 tff(1206,plain,
% 0.58/0.68 ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | ((~lives(spaniard, house_3)) | (~lives(english, house_3)) | (~house(house_3)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1207,plain,
% 0.58/0.68 ((~![H: $i] : ((~lives(spaniard, H)) | (~lives(english, H)) | (~house(H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(spaniard, house_3))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1206, 1205])).
% 0.58/0.68 tff(1208,plain,
% 0.58/0.68 ((~lives(english, house_3)) | (~lives(spaniard, house_3))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1207, 1038, 14])).
% 0.58/0.68 tff(1209,plain,
% 0.58/0.68 (~lives(spaniard, house_3)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1208, 1197])).
% 0.58/0.68 tff(1210,plain,
% 0.58/0.68 (((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(spaniard, house_3) | (~person(spaniard)) | (~drinks(spaniard, milk)))) <=> ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | lives(spaniard, house_3) | (~person(spaniard)) | (~drinks(spaniard, milk)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1211,plain,
% 0.58/0.68 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | (lives(spaniard, house_3) | (~person(spaniard)) | (~drinks(spaniard, milk)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1212,plain,
% 0.58/0.68 ((~![P: $i] : (lives(P, house_3) | (~person(P)) | (~drinks(P, milk)))) | lives(spaniard, house_3) | (~person(spaniard)) | (~drinks(spaniard, milk))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 0.58/0.68 tff(1213,plain,
% 0.58/0.68 (lives(spaniard, house_3) | (~drinks(spaniard, milk))),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1212, 1063, 32])).
% 0.58/0.68 tff(1214,plain,
% 0.58/0.68 (~drinks(spaniard, milk)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1213, 1209])).
% 0.58/0.68 tff(1215,plain,
% 0.58/0.68 (^[H: $i] : refl(((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H))) <=> ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H))))),
% 0.58/0.68 inference(bind,[status(th)],[])).
% 0.58/0.68 tff(1216,plain,
% 0.58/0.68 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(quant_intro,[status(thm)],[1215])).
% 0.58/0.68 tff(1217,plain,
% 0.58/0.68 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1218,plain,
% 0.58/0.68 (^[H: $i] : rewrite((((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(ukranian, H))) <=> ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H))))),
% 0.58/0.68 inference(bind,[status(th)],[])).
% 0.58/0.68 tff(1219,plain,
% 0.58/0.68 (![H: $i] : (((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(ukranian, H))) <=> ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(quant_intro,[status(thm)],[1218])).
% 0.58/0.68 tff(1220,axiom,(![H: $i] : (((~drink(H)) | (~drinks(spaniard, H))) | (~drinks(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_ukranian_drink_different')).
% 0.58/0.68 tff(1221,plain,
% 0.58/0.68 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 0.58/0.68 tff(1222,plain,
% 0.58/0.68 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1221, 1217])).
% 0.58/0.68 tff(1223,plain,(
% 0.58/0.68 ![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(skolemize,[status(sab)],[1222])).
% 0.58/0.68 tff(1224,plain,
% 0.58/0.68 (![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1223, 1216])).
% 0.58/0.68 tff(1225,plain,
% 0.58/0.68 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(spaniard, tea)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(spaniard, tea)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1226,plain,
% 0.58/0.68 (((~drinks(spaniard, tea)) | (~drink(tea)) | (~drinks(ukranian, tea))) <=> ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(spaniard, tea)))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1227,plain,
% 0.58/0.68 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(spaniard, tea)) | (~drink(tea)) | (~drinks(ukranian, tea)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(spaniard, tea))))),
% 0.58/0.68 inference(monotonicity,[status(thm)],[1226])).
% 0.58/0.68 tff(1228,plain,
% 0.58/0.68 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(spaniard, tea)) | (~drink(tea)) | (~drinks(ukranian, tea)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(spaniard, tea)))),
% 0.58/0.68 inference(transitivity,[status(thm)],[1227, 1225])).
% 0.58/0.68 tff(1229,plain,
% 0.58/0.68 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(spaniard, tea)) | (~drink(tea)) | (~drinks(ukranian, tea)))),
% 0.58/0.68 inference(quant_inst,[status(thm)],[])).
% 0.58/0.68 tff(1230,plain,
% 0.58/0.68 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(ukranian, tea)) | (~drink(tea)) | (~drinks(spaniard, tea))),
% 0.58/0.68 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 0.58/0.68 tff(1231,plain,
% 0.58/0.68 (~drinks(spaniard, tea)),
% 0.58/0.68 inference(unit_resolution,[status(thm)],[1230, 1224, 644, 641])).
% 0.58/0.68 tff(1232,plain,
% 0.58/0.68 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(spaniard, orange) | (~person(spaniard)) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(spaniard, orange) | (~person(spaniard)) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1233,plain,
% 0.58/0.68 (((~person(spaniard)) | drinks(spaniard, water) | drinks(spaniard, milk) | drinks(spaniard, tea) | drinks(spaniard, coffee) | drinks(spaniard, orange)) <=> (drinks(spaniard, orange) | (~person(spaniard)) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee))),
% 0.58/0.68 inference(rewrite,[status(thm)],[])).
% 0.58/0.68 tff(1234,plain,
% 0.58/0.68 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(spaniard)) | drinks(spaniard, water) | drinks(spaniard, milk) | drinks(spaniard, tea) | drinks(spaniard, coffee) | drinks(spaniard, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | (drinks(spaniard, orange) | (~person(spaniard)) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee)))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1233])).
% 0.58/0.69 tff(1235,plain,
% 0.58/0.69 (((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(spaniard)) | drinks(spaniard, water) | drinks(spaniard, milk) | drinks(spaniard, tea) | drinks(spaniard, coffee) | drinks(spaniard, orange))) <=> ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(spaniard, orange) | (~person(spaniard)) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1234, 1232])).
% 0.58/0.69 tff(1236,plain,
% 0.58/0.69 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | ((~person(spaniard)) | drinks(spaniard, water) | drinks(spaniard, milk) | drinks(spaniard, tea) | drinks(spaniard, coffee) | drinks(spaniard, orange))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1237,plain,
% 0.58/0.69 ((~![Person: $i] : ((~person(Person)) | drinks(Person, water) | drinks(Person, milk) | drinks(Person, tea) | drinks(Person, coffee) | drinks(Person, orange))) | drinks(spaniard, orange) | (~person(spaniard)) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee)),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 0.58/0.69 tff(1238,plain,
% 0.58/0.69 (drinks(spaniard, orange) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, tea) | drinks(spaniard, coffee)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1237, 691, 1063])).
% 0.58/0.69 tff(1239,plain,
% 0.58/0.69 (drinks(spaniard, orange) | drinks(spaniard, milk) | drinks(spaniard, water) | drinks(spaniard, coffee)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1238, 1231])).
% 0.58/0.69 tff(1240,plain,
% 0.58/0.69 (drinks(spaniard, coffee)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1239, 1214, 1150, 1201])).
% 0.58/0.69 tff(1241,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(spaniard, coffee)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(spaniard, coffee)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1242,plain,
% 0.58/0.69 (((~drinks(spaniard, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee))) <=> ((~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(spaniard, coffee)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1243,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(spaniard, coffee))))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1242])).
% 0.58/0.69 tff(1244,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(spaniard, coffee)))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1243, 1241])).
% 0.58/0.69 tff(1245,plain,
% 0.58/0.69 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, coffee)) | (~drink(coffee)) | (~drinks(japanese, coffee)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1246,plain,
% 0.58/0.69 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(japanese, coffee)) | (~drink(coffee)) | (~drinks(spaniard, coffee))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 0.58/0.69 tff(1247,plain,
% 0.58/0.69 ((~drinks(japanese, coffee)) | (~drinks(spaniard, coffee))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1246, 782, 797])).
% 0.58/0.69 tff(1248,plain,
% 0.58/0.69 ($false),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1247, 1240, 1200])).
% 0.58/0.69 tff(1249,plain,((~lives(english, house_3)) | drinks(spaniard, orange) | drinks(spaniard, water) | drinks(japanese, orange) | drinks(japanese, water)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.69 tff(1250,plain,
% 0.58/0.69 (~lives(english, house_3)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1249, 1195, 1150, 793, 1194])).
% 0.58/0.69 tff(1251,plain,
% 0.58/0.69 (~drinks(english, milk)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[42, 1250])).
% 0.58/0.69 tff(1252,plain,
% 0.58/0.69 (drinks(english, coffee)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[745, 1251, 1193, 1192])).
% 0.58/0.69 tff(1253,plain,
% 0.58/0.69 (drinks(japanese, milk)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[873, 1252, 793, 845])).
% 0.58/0.69 tff(1254,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drink(coffee)) | (~drinks(spaniard, coffee)) | (~drinks(english, coffee)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drink(coffee)) | (~drinks(spaniard, coffee)) | (~drinks(english, coffee)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1255,plain,
% 0.58/0.69 (((~drinks(spaniard, coffee)) | (~drinks(english, coffee)) | (~drink(coffee))) <=> ((~drink(coffee)) | (~drinks(spaniard, coffee)) | (~drinks(english, coffee)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1256,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, coffee)) | (~drinks(english, coffee)) | (~drink(coffee)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drink(coffee)) | (~drinks(spaniard, coffee)) | (~drinks(english, coffee))))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1255])).
% 0.58/0.69 tff(1257,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, coffee)) | (~drinks(english, coffee)) | (~drink(coffee)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drink(coffee)) | (~drinks(spaniard, coffee)) | (~drinks(english, coffee)))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1256, 1254])).
% 0.58/0.69 tff(1258,plain,
% 0.58/0.69 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | ((~drinks(spaniard, coffee)) | (~drinks(english, coffee)) | (~drink(coffee)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1259,plain,
% 0.58/0.69 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drinks(english, H)) | (~drink(H)))) | (~drink(coffee)) | (~drinks(spaniard, coffee)) | (~drinks(english, coffee))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 0.58/0.69 tff(1260,plain,
% 0.58/0.69 ((~drinks(spaniard, coffee)) | (~drinks(english, coffee))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1259, 712, 797])).
% 0.58/0.69 tff(1261,plain,
% 0.58/0.69 (~drinks(spaniard, coffee)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1260, 1252])).
% 0.58/0.69 tff(1262,plain,
% 0.58/0.69 (drinks(spaniard, milk)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1239, 1261, 1150, 1195])).
% 0.58/0.69 tff(1263,plain,
% 0.58/0.69 (drink(milk) <=> drink(milk)),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1264,axiom,(drink(milk)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','milk')).
% 0.58/0.69 tff(1265,plain,
% 0.58/0.69 (drink(milk)),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 0.58/0.69 tff(1266,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, milk)) | (~drinks(japanese, milk)) | (~drink(milk)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(spaniard, milk)) | (~drinks(japanese, milk)) | (~drink(milk)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1267,plain,
% 0.58/0.69 (((~drinks(spaniard, milk)) | (~drink(milk)) | (~drinks(japanese, milk))) <=> ((~drinks(spaniard, milk)) | (~drinks(japanese, milk)) | (~drink(milk)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1268,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, milk)) | (~drink(milk)) | (~drinks(japanese, milk)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, milk)) | (~drinks(japanese, milk)) | (~drink(milk))))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1267])).
% 0.58/0.69 tff(1269,plain,
% 0.58/0.69 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, milk)) | (~drink(milk)) | (~drinks(japanese, milk)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(spaniard, milk)) | (~drinks(japanese, milk)) | (~drink(milk)))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1268, 1266])).
% 0.58/0.69 tff(1270,plain,
% 0.58/0.69 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(spaniard, milk)) | (~drink(milk)) | (~drinks(japanese, milk)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1271,plain,
% 0.58/0.69 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drinks(spaniard, milk)) | (~drinks(japanese, milk)) | (~drink(milk))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 0.58/0.69 tff(1272,plain,
% 0.58/0.69 ((~drinks(spaniard, milk)) | (~drinks(japanese, milk))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1271, 782, 1265])).
% 0.58/0.69 tff(1273,plain,
% 0.58/0.69 ($false),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1272, 1262, 1253])).
% 0.58/0.69 tff(1274,plain,((~drinks(norwegian, water)) | drinks(spaniard, orange) | drinks(japanese, orange) | drinks(norwegian, orange) | drinks(english, orange)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.69 tff(1275,plain,
% 0.58/0.69 ($false),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1274, 1190, 1189, 1150, 1181, 1176])).
% 0.58/0.69 tff(1276,plain,((~drinks(ukranian, orange)) | drinks(spaniard, orange)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.69 tff(1277,plain,
% 0.58/0.69 (~drinks(ukranian, orange)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1276, 1150])).
% 0.58/0.69 tff(1278,plain,
% 0.58/0.69 (person(ukranian) <=> person(ukranian)),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1279,axiom,(person(ukranian)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ukranian')).
% 0.58/0.69 tff(1280,plain,
% 0.58/0.69 (person(ukranian)),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1279, 1278])).
% 0.58/0.69 tff(1281,plain,
% 0.58/0.69 (((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(ukranian)) | drinks(ukranian, orange) | (~drives(ukranian, honda)))) <=> ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (~person(ukranian)) | drinks(ukranian, orange) | (~drives(ukranian, honda)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1282,plain,
% 0.58/0.69 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(ukranian)) | drinks(ukranian, orange) | (~drives(ukranian, honda)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1283,plain,
% 0.58/0.69 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (~person(ukranian)) | drinks(ukranian, orange) | (~drives(ukranian, honda))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 0.58/0.69 tff(1284,plain,
% 0.58/0.69 (drinks(ukranian, orange) | (~drives(ukranian, honda))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1283, 1280, 1160])).
% 0.58/0.69 tff(1285,plain,
% 0.58/0.69 (~drives(ukranian, honda)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1284, 1277])).
% 0.58/0.69 tff(1286,assumption,(owns(spaniard, snails)), introduced(assumption)).
% 0.58/0.69 tff(1287,plain,
% 0.58/0.69 (animal(snails) <=> animal(snails)),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1288,axiom,(animal(snails)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','snails')).
% 0.58/0.69 tff(1289,plain,
% 0.58/0.69 (animal(snails)),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 0.58/0.69 tff(1290,plain,
% 0.58/0.69 (^[H: $i] : refl(((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H))) <=> ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1291,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1290])).
% 0.58/0.69 tff(1292,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1293,plain,
% 0.58/0.69 (^[H: $i] : rewrite((((~animal(H)) | (~owns(spaniard, H))) | (~owns(norwegian, H))) <=> ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1294,plain,
% 0.58/0.69 (![H: $i] : (((~animal(H)) | (~owns(spaniard, H))) | (~owns(norwegian, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1293])).
% 0.58/0.69 tff(1295,axiom,(![H: $i] : (((~animal(H)) | (~owns(spaniard, H))) | (~owns(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_norwegian_own_different_pets')).
% 0.58/0.69 tff(1296,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 0.58/0.69 tff(1297,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1296, 1292])).
% 0.58/0.69 tff(1298,plain,(
% 0.58/0.69 ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(skolemize,[status(sab)],[1297])).
% 0.58/0.69 tff(1299,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1298, 1291])).
% 0.58/0.69 tff(1300,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~animal(snails)) | (~owns(norwegian, snails)) | (~owns(spaniard, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~animal(snails)) | (~owns(norwegian, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1301,plain,
% 0.58/0.69 (((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(norwegian, snails))) <=> ((~animal(snails)) | (~owns(norwegian, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1302,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(norwegian, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~animal(snails)) | (~owns(norwegian, snails)) | (~owns(spaniard, snails))))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1301])).
% 0.58/0.69 tff(1303,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(norwegian, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~animal(snails)) | (~owns(norwegian, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1302, 1300])).
% 0.58/0.69 tff(1304,plain,
% 0.58/0.69 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(norwegian, snails)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1305,plain,
% 0.58/0.69 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~animal(snails)) | (~owns(norwegian, snails)) | (~owns(spaniard, snails))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 0.58/0.69 tff(1306,plain,
% 0.58/0.69 ((~owns(norwegian, snails)) | (~owns(spaniard, snails))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1305, 1299, 1289])).
% 0.58/0.69 tff(1307,plain,
% 0.58/0.69 (~owns(norwegian, snails)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1306, 1286])).
% 0.58/0.69 tff(1308,plain,
% 0.58/0.69 (^[H: $i] : refl(((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H))) <=> ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1309,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1308])).
% 0.58/0.69 tff(1310,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1311,plain,
% 0.58/0.69 (^[H: $i] : rewrite((((~animal(H)) | (~owns(spaniard, H))) | (~owns(japanese, H))) <=> ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1312,plain,
% 0.58/0.69 (![H: $i] : (((~animal(H)) | (~owns(spaniard, H))) | (~owns(japanese, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1311])).
% 0.58/0.69 tff(1313,axiom,(![H: $i] : (((~animal(H)) | (~owns(spaniard, H))) | (~owns(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_japanese_own_different_pets')).
% 0.58/0.69 tff(1314,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 0.58/0.69 tff(1315,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1314, 1310])).
% 0.58/0.69 tff(1316,plain,(
% 0.58/0.69 ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(skolemize,[status(sab)],[1315])).
% 0.58/0.69 tff(1317,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1316, 1309])).
% 0.58/0.69 tff(1318,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~animal(snails)) | (~owns(japanese, snails)) | (~owns(spaniard, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(snails)) | (~owns(japanese, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1319,plain,
% 0.58/0.69 (((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(japanese, snails))) <=> ((~animal(snails)) | (~owns(japanese, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1320,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(japanese, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~animal(snails)) | (~owns(japanese, snails)) | (~owns(spaniard, snails))))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1319])).
% 0.58/0.69 tff(1321,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(japanese, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(snails)) | (~owns(japanese, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1320, 1318])).
% 0.58/0.69 tff(1322,plain,
% 0.58/0.69 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(japanese, snails)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1323,plain,
% 0.58/0.69 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(snails)) | (~owns(japanese, snails)) | (~owns(spaniard, snails))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 0.58/0.69 tff(1324,plain,
% 0.58/0.69 ((~owns(japanese, snails)) | (~owns(spaniard, snails))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1323, 1317, 1289])).
% 0.58/0.69 tff(1325,plain,
% 0.58/0.69 (~owns(japanese, snails)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1324, 1286])).
% 0.58/0.69 tff(1326,plain,
% 0.58/0.69 (^[H: $i] : refl(((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H))) <=> ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1327,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1326])).
% 0.58/0.69 tff(1328,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1329,plain,
% 0.58/0.69 (^[H: $i] : rewrite((((~animal(H)) | (~owns(spaniard, H))) | (~owns(ukranian, H))) <=> ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1330,plain,
% 0.58/0.69 (![H: $i] : (((~animal(H)) | (~owns(spaniard, H))) | (~owns(ukranian, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1329])).
% 0.58/0.69 tff(1331,axiom,(![H: $i] : (((~animal(H)) | (~owns(spaniard, H))) | (~owns(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_ukranian_own_different_pets')).
% 0.58/0.69 tff(1332,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 0.58/0.69 tff(1333,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1332, 1328])).
% 0.58/0.69 tff(1334,plain,(
% 0.58/0.69 ![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(skolemize,[status(sab)],[1333])).
% 0.58/0.69 tff(1335,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1334, 1327])).
% 0.58/0.69 tff(1336,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~animal(snails)) | (~owns(ukranian, snails)) | (~owns(spaniard, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(snails)) | (~owns(ukranian, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1337,plain,
% 0.58/0.69 (((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(ukranian, snails))) <=> ((~animal(snails)) | (~owns(ukranian, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1338,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(ukranian, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~animal(snails)) | (~owns(ukranian, snails)) | (~owns(spaniard, snails))))),
% 0.58/0.69 inference(monotonicity,[status(thm)],[1337])).
% 0.58/0.69 tff(1339,plain,
% 0.58/0.69 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(ukranian, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(snails)) | (~owns(ukranian, snails)) | (~owns(spaniard, snails)))),
% 0.58/0.69 inference(transitivity,[status(thm)],[1338, 1336])).
% 0.58/0.69 tff(1340,plain,
% 0.58/0.69 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(spaniard, snails)) | (~animal(snails)) | (~owns(ukranian, snails)))),
% 0.58/0.69 inference(quant_inst,[status(thm)],[])).
% 0.58/0.69 tff(1341,plain,
% 0.58/0.69 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(snails)) | (~owns(ukranian, snails)) | (~owns(spaniard, snails))),
% 0.58/0.69 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 0.58/0.69 tff(1342,plain,
% 0.58/0.69 ((~owns(ukranian, snails)) | (~owns(spaniard, snails))),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1341, 1335, 1289])).
% 0.58/0.69 tff(1343,plain,
% 0.58/0.69 (~owns(ukranian, snails)),
% 0.58/0.69 inference(unit_resolution,[status(thm)],[1342, 1286])).
% 0.58/0.69 tff(1344,plain,
% 0.58/0.69 (^[H: $i] : refl(((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H))) <=> ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1345,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.69 inference(quant_intro,[status(thm)],[1344])).
% 0.58/0.69 tff(1346,plain,
% 0.58/0.69 (![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.69 inference(rewrite,[status(thm)],[])).
% 0.58/0.69 tff(1347,plain,
% 0.58/0.69 (^[H: $i] : rewrite((((~animal(H)) | (~owns(english, H))) | (~owns(spaniard, H))) <=> ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H))))),
% 0.58/0.69 inference(bind,[status(th)],[])).
% 0.58/0.69 tff(1348,plain,
% 0.58/0.69 (![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(spaniard, H))) <=> ![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1347])).
% 0.58/0.70 tff(1349,axiom,(![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(spaniard, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_spaniard_own_different_pets')).
% 0.58/0.70 tff(1350,plain,
% 0.58/0.70 (![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 0.58/0.70 tff(1351,plain,
% 0.58/0.70 (![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1350, 1346])).
% 0.58/0.70 tff(1352,plain,(
% 0.58/0.70 ![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.70 inference(skolemize,[status(sab)],[1351])).
% 0.58/0.70 tff(1353,plain,
% 0.58/0.70 (![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1352, 1345])).
% 0.58/0.70 tff(1354,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(spaniard, snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(spaniard, snails)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1355,plain,
% 0.58/0.70 (((~owns(spaniard, snails)) | (~owns(english, snails)) | (~animal(snails))) <=> ((~owns(english, snails)) | (~animal(snails)) | (~owns(spaniard, snails)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1356,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, snails)) | (~owns(english, snails)) | (~animal(snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(spaniard, snails))))),
% 0.58/0.70 inference(monotonicity,[status(thm)],[1355])).
% 0.58/0.70 tff(1357,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, snails)) | (~owns(english, snails)) | (~animal(snails)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(spaniard, snails)))),
% 0.58/0.70 inference(transitivity,[status(thm)],[1356, 1354])).
% 0.58/0.70 tff(1358,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, snails)) | (~owns(english, snails)) | (~animal(snails)))),
% 0.58/0.70 inference(quant_inst,[status(thm)],[])).
% 0.58/0.70 tff(1359,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(spaniard, snails))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 0.58/0.70 tff(1360,plain,
% 0.58/0.70 ((~owns(english, snails)) | (~owns(spaniard, snails))),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1359, 1353, 1289])).
% 0.58/0.70 tff(1361,plain,
% 0.58/0.70 (~owns(english, snails)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1360, 1286])).
% 0.58/0.70 tff(1362,assumption,(~owns(english, snails)), introduced(assumption)).
% 0.58/0.70 tff(1363,assumption,(~owns(japanese, snails)), introduced(assumption)).
% 0.58/0.70 tff(1364,assumption,(~owns(norwegian, snails)), introduced(assumption)).
% 0.58/0.70 tff(1365,assumption,(~owns(ukranian, snails)), introduced(assumption)).
% 0.58/0.70 tff(1366,assumption,(~owns(japanese, zebra)), introduced(assumption)).
% 0.58/0.70 tff(1367,assumption,(~owns(norwegian, fox)), introduced(assumption)).
% 0.58/0.70 tff(1368,assumption,(~owns(english, fox)), introduced(assumption)).
% 0.58/0.70 tff(1369,assumption,(owns(english, horse)), introduced(assumption)).
% 0.58/0.70 tff(1370,plain,
% 0.58/0.70 (animal(horse) <=> animal(horse)),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1371,axiom,(animal(horse)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','horse')).
% 0.58/0.70 tff(1372,plain,
% 0.58/0.70 (animal(horse)),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 0.58/0.70 tff(1373,plain,
% 0.58/0.70 (^[H: $i] : refl(((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H))) <=> ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H))))),
% 0.58/0.70 inference(bind,[status(th)],[])).
% 0.58/0.70 tff(1374,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1373])).
% 0.58/0.70 tff(1375,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1376,plain,
% 0.58/0.70 (^[H: $i] : rewrite((((~animal(H)) | (~owns(english, H))) | (~owns(ukranian, H))) <=> ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H))))),
% 0.58/0.70 inference(bind,[status(th)],[])).
% 0.58/0.70 tff(1377,plain,
% 0.58/0.70 (![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(ukranian, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1376])).
% 0.58/0.70 tff(1378,axiom,(![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_ukranian_own_different_pets')).
% 0.58/0.70 tff(1379,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 0.58/0.70 tff(1380,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1379, 1375])).
% 0.58/0.70 tff(1381,plain,(
% 0.58/0.70 ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(skolemize,[status(sab)],[1380])).
% 0.58/0.70 tff(1382,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1381, 1374])).
% 0.58/0.70 tff(1383,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(ukranian, horse)) | (~animal(horse)) | (~owns(english, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(ukranian, horse)) | (~animal(horse)) | (~owns(english, horse)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1384,plain,
% 0.58/0.70 (((~owns(english, horse)) | (~animal(horse)) | (~owns(ukranian, horse))) <=> ((~owns(ukranian, horse)) | (~animal(horse)) | (~owns(english, horse)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1385,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(ukranian, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(ukranian, horse)) | (~animal(horse)) | (~owns(english, horse))))),
% 0.58/0.70 inference(monotonicity,[status(thm)],[1384])).
% 0.58/0.70 tff(1386,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(ukranian, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(ukranian, horse)) | (~animal(horse)) | (~owns(english, horse)))),
% 0.58/0.70 inference(transitivity,[status(thm)],[1385, 1383])).
% 0.58/0.70 tff(1387,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(ukranian, horse)))),
% 0.58/0.70 inference(quant_inst,[status(thm)],[])).
% 0.58/0.70 tff(1388,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(ukranian, horse)) | (~animal(horse)) | (~owns(english, horse))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 0.58/0.70 tff(1389,plain,
% 0.58/0.70 ((~owns(ukranian, horse)) | (~owns(english, horse))),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1388, 1382, 1372])).
% 0.58/0.70 tff(1390,plain,
% 0.58/0.70 (~owns(ukranian, horse)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1389, 1369])).
% 0.58/0.70 tff(1391,plain,
% 0.58/0.70 (^[H: $i] : refl(((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H))) <=> ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H))))),
% 0.58/0.70 inference(bind,[status(th)],[])).
% 0.58/0.70 tff(1392,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1391])).
% 0.58/0.70 tff(1393,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1394,plain,
% 0.58/0.70 (^[H: $i] : rewrite((((~animal(H)) | (~owns(english, H))) | (~owns(japanese, H))) <=> ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H))))),
% 0.58/0.70 inference(bind,[status(th)],[])).
% 0.58/0.70 tff(1395,plain,
% 0.58/0.70 (![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(japanese, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1394])).
% 0.58/0.70 tff(1396,axiom,(![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_japanese_own_different_pets')).
% 0.58/0.70 tff(1397,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 0.58/0.70 tff(1398,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1397, 1393])).
% 0.58/0.70 tff(1399,plain,(
% 0.58/0.70 ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(skolemize,[status(sab)],[1398])).
% 0.58/0.70 tff(1400,plain,
% 0.58/0.70 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1399, 1392])).
% 0.58/0.70 tff(1401,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(japanese, horse)) | (~owns(english, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(horse)) | (~owns(japanese, horse)) | (~owns(english, horse)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1402,plain,
% 0.58/0.70 (((~owns(english, horse)) | (~animal(horse)) | (~owns(japanese, horse))) <=> ((~animal(horse)) | (~owns(japanese, horse)) | (~owns(english, horse)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1403,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(japanese, horse)) | (~owns(english, horse))))),
% 0.58/0.70 inference(monotonicity,[status(thm)],[1402])).
% 0.58/0.70 tff(1404,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(horse)) | (~owns(japanese, horse)) | (~owns(english, horse)))),
% 0.58/0.70 inference(transitivity,[status(thm)],[1403, 1401])).
% 0.58/0.70 tff(1405,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.70 inference(quant_inst,[status(thm)],[])).
% 0.58/0.70 tff(1406,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(horse)) | (~owns(japanese, horse)) | (~owns(english, horse))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 0.58/0.70 tff(1407,plain,
% 0.58/0.70 ((~owns(japanese, horse)) | (~owns(english, horse))),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1406, 1400, 1372])).
% 0.58/0.70 tff(1408,plain,
% 0.58/0.70 (~owns(japanese, horse)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1407, 1369])).
% 0.58/0.70 tff(1409,plain,
% 0.58/0.70 (owns(spaniard, dog) <=> owns(spaniard, dog)),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1410,axiom,(owns(spaniard, dog)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_owns_dog')).
% 0.58/0.70 tff(1411,plain,
% 0.58/0.70 (owns(spaniard, dog)),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 0.58/0.70 tff(1412,plain,
% 0.58/0.70 (animal(dog) <=> animal(dog)),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1413,axiom,(animal(dog)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dog')).
% 0.58/0.70 tff(1414,plain,
% 0.58/0.70 (animal(dog)),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1413, 1412])).
% 0.58/0.70 tff(1415,plain,
% 0.58/0.70 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(japanese, dog)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(japanese, dog)))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1416,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(japanese, dog)))),
% 0.58/0.70 inference(quant_inst,[status(thm)],[])).
% 0.58/0.70 tff(1417,plain,
% 0.58/0.70 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(japanese, dog))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 0.58/0.70 tff(1418,plain,
% 0.58/0.70 (~owns(japanese, dog)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1417, 1317, 1414, 1411])).
% 0.58/0.70 tff(1419,plain,
% 0.58/0.70 (^[Person: $i] : refl(((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) <=> ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)))),
% 0.58/0.70 inference(bind,[status(th)],[])).
% 0.58/0.70 tff(1420,plain,
% 0.58/0.70 (![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) <=> ![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1419])).
% 0.58/0.70 tff(1421,plain,
% 0.58/0.70 (![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) <=> ![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1422,plain,
% 0.58/0.70 (^[Person: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) <=> ((~person(Person)) | owns(Person, snails) | owns(Person, dog))), (((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) <=> (((~person(Person)) | owns(Person, snails) | owns(Person, dog)) | owns(Person, horse)))), rewrite((((~person(Person)) | owns(Person, snails) | owns(Person, dog)) | owns(Person, horse)) <=> ((~person(Person)) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))), (((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) <=> ((~person(Person)) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)))), ((((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) | owns(Person, fox)) <=> (((~person(Person)) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) | owns(Person, fox)))), rewrite((((~person(Person)) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) | owns(Person, fox)) <=> ((~person(Person)) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))), ((((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) | owns(Person, fox)) <=> ((~person(Person)) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)))), (((((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) | owns(Person, fox)) | owns(Person, zebra)) <=> (((~person(Person)) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) | owns(Person, zebra)))), rewrite((((~person(Person)) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog)) | owns(Person, zebra)) <=> ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))), (((((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) | owns(Person, fox)) | owns(Person, zebra)) <=> ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))))),
% 0.58/0.70 inference(bind,[status(th)],[])).
% 0.58/0.70 tff(1423,plain,
% 0.58/0.70 (![Person: $i] : ((((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) | owns(Person, fox)) | owns(Person, zebra)) <=> ![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(quant_intro,[status(thm)],[1422])).
% 0.58/0.70 tff(1424,axiom,(![Person: $i] : ((((((~person(Person)) | owns(Person, dog)) | owns(Person, snails)) | owns(Person, horse)) | owns(Person, fox)) | owns(Person, zebra))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','own_a_pet')).
% 0.58/0.70 tff(1425,plain,
% 0.58/0.70 (![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 0.58/0.70 tff(1426,plain,
% 0.58/0.70 (![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1425, 1421])).
% 0.58/0.70 tff(1427,plain,(
% 0.58/0.70 ![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(skolemize,[status(sab)],[1426])).
% 0.58/0.70 tff(1428,plain,
% 0.58/0.70 (![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1427, 1420])).
% 0.58/0.70 tff(1429,plain,
% 0.58/0.70 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(japanese, zebra) | (~person(japanese)) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(japanese, zebra) | (~person(japanese)) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1430,plain,
% 0.58/0.70 (((~person(japanese)) | owns(japanese, zebra) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, snails) | owns(japanese, dog)) <=> (owns(japanese, zebra) | (~person(japanese)) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog))),
% 0.58/0.70 inference(rewrite,[status(thm)],[])).
% 0.58/0.70 tff(1431,plain,
% 0.58/0.70 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(japanese)) | owns(japanese, zebra) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, snails) | owns(japanese, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(japanese, zebra) | (~person(japanese)) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog)))),
% 0.58/0.70 inference(monotonicity,[status(thm)],[1430])).
% 0.58/0.70 tff(1432,plain,
% 0.58/0.70 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(japanese)) | owns(japanese, zebra) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, snails) | owns(japanese, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(japanese, zebra) | (~person(japanese)) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog))),
% 0.58/0.70 inference(transitivity,[status(thm)],[1431, 1429])).
% 0.58/0.70 tff(1433,plain,
% 0.58/0.70 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(japanese)) | owns(japanese, zebra) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, snails) | owns(japanese, dog))),
% 0.58/0.70 inference(quant_inst,[status(thm)],[])).
% 0.58/0.70 tff(1434,plain,
% 0.58/0.70 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(japanese, zebra) | (~person(japanese)) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog)),
% 0.58/0.70 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 0.58/0.70 tff(1435,plain,
% 0.58/0.70 (owns(japanese, zebra) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse) | owns(japanese, dog)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1434, 1428, 835])).
% 0.58/0.70 tff(1436,plain,
% 0.58/0.70 (owns(japanese, zebra) | owns(japanese, snails) | owns(japanese, fox) | owns(japanese, horse)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1435, 1418])).
% 0.58/0.70 tff(1437,plain,
% 0.58/0.70 (owns(japanese, fox)),
% 0.58/0.70 inference(unit_resolution,[status(thm)],[1436, 1408, 1366, 1363])).
% 0.58/0.71 tff(1438,plain,
% 0.58/0.71 (animal(fox) <=> animal(fox)),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1439,axiom,(animal(fox)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fox')).
% 0.58/0.71 tff(1440,plain,
% 0.58/0.71 (animal(fox)),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 0.58/0.71 tff(1441,plain,
% 0.58/0.71 (^[H: $i] : refl(((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H))) <=> ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H))))),
% 0.58/0.71 inference(bind,[status(th)],[])).
% 0.58/0.71 tff(1442,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(quant_intro,[status(thm)],[1441])).
% 0.58/0.71 tff(1443,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1444,plain,
% 0.58/0.71 (^[H: $i] : rewrite((((~animal(H)) | (~owns(ukranian, H))) | (~owns(japanese, H))) <=> ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H))))),
% 0.58/0.71 inference(bind,[status(th)],[])).
% 0.58/0.71 tff(1445,plain,
% 0.58/0.71 (![H: $i] : (((~animal(H)) | (~owns(ukranian, H))) | (~owns(japanese, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(quant_intro,[status(thm)],[1444])).
% 0.58/0.71 tff(1446,axiom,(![H: $i] : (((~animal(H)) | (~owns(ukranian, H))) | (~owns(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ukranian_and_japanese_own_different_pets')).
% 0.58/0.71 tff(1447,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1446, 1445])).
% 0.58/0.71 tff(1448,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1447, 1443])).
% 0.58/0.71 tff(1449,plain,(
% 0.58/0.71 ![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(skolemize,[status(sab)],[1448])).
% 0.58/0.71 tff(1450,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1449, 1442])).
% 0.58/0.71 tff(1451,plain,
% 0.58/0.71 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(ukranian, fox)) | (~owns(japanese, fox)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~animal(fox)) | (~owns(ukranian, fox)) | (~owns(japanese, fox)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1452,plain,
% 0.58/0.71 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(ukranian, fox)) | (~owns(japanese, fox)))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1453,plain,
% 0.58/0.71 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~animal(fox)) | (~owns(ukranian, fox)) | (~owns(japanese, fox))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 0.58/0.71 tff(1454,plain,
% 0.58/0.71 ((~owns(ukranian, fox)) | (~owns(japanese, fox))),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1453, 1450, 1440])).
% 0.58/0.71 tff(1455,plain,
% 0.58/0.71 (~owns(ukranian, fox)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1454, 1437])).
% 0.58/0.71 tff(1456,plain,
% 0.58/0.71 (^[H: $i] : refl(((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H))) <=> ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H))))),
% 0.58/0.71 inference(bind,[status(th)],[])).
% 0.58/0.71 tff(1457,plain,
% 0.58/0.71 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(quant_intro,[status(thm)],[1456])).
% 0.58/0.71 tff(1458,plain,
% 0.58/0.71 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1459,plain,
% 0.58/0.71 (^[H: $i] : rewrite((((~animal(H)) | (~owns(english, H))) | (~owns(norwegian, H))) <=> ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H))))),
% 0.58/0.71 inference(bind,[status(th)],[])).
% 0.58/0.71 tff(1460,plain,
% 0.58/0.71 (![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(norwegian, H))) <=> ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(quant_intro,[status(thm)],[1459])).
% 0.58/0.71 tff(1461,axiom,(![H: $i] : (((~animal(H)) | (~owns(english, H))) | (~owns(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_norwegian_own_different_pets')).
% 0.58/0.71 tff(1462,plain,
% 0.58/0.71 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 0.58/0.71 tff(1463,plain,
% 0.58/0.71 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1462, 1458])).
% 0.58/0.71 tff(1464,plain,(
% 0.58/0.71 ![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(skolemize,[status(sab)],[1463])).
% 0.58/0.71 tff(1465,plain,
% 0.58/0.71 (![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1464, 1457])).
% 0.58/0.71 tff(1466,plain,
% 0.58/0.71 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(norwegian, horse)) | (~animal(horse)) | (~owns(english, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(norwegian, horse)) | (~animal(horse)) | (~owns(english, horse)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1467,plain,
% 0.58/0.71 (((~owns(english, horse)) | (~animal(horse)) | (~owns(norwegian, horse))) <=> ((~owns(norwegian, horse)) | (~animal(horse)) | (~owns(english, horse)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1468,plain,
% 0.58/0.71 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(norwegian, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(norwegian, horse)) | (~animal(horse)) | (~owns(english, horse))))),
% 0.58/0.71 inference(monotonicity,[status(thm)],[1467])).
% 0.58/0.71 tff(1469,plain,
% 0.58/0.71 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(norwegian, horse)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(norwegian, horse)) | (~animal(horse)) | (~owns(english, horse)))),
% 0.58/0.71 inference(transitivity,[status(thm)],[1468, 1466])).
% 0.58/0.71 tff(1470,plain,
% 0.58/0.71 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, horse)) | (~animal(horse)) | (~owns(norwegian, horse)))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1471,plain,
% 0.58/0.71 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(norwegian, horse)) | (~animal(horse)) | (~owns(english, horse))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 0.58/0.71 tff(1472,plain,
% 0.58/0.71 ((~owns(norwegian, horse)) | (~owns(english, horse))),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1471, 1465, 1372])).
% 0.58/0.71 tff(1473,plain,
% 0.58/0.71 (~owns(norwegian, horse)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1472, 1369])).
% 0.58/0.71 tff(1474,plain,
% 0.58/0.71 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(norwegian, dog)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(norwegian, dog)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1475,plain,
% 0.58/0.71 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(norwegian, dog)))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1476,plain,
% 0.58/0.71 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(norwegian, dog))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 0.58/0.71 tff(1477,plain,
% 0.58/0.71 (~owns(norwegian, dog)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1476, 1299, 1414, 1411])).
% 0.58/0.71 tff(1478,plain,
% 0.58/0.71 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(norwegian, fox) | (~person(norwegian)) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(norwegian, fox) | (~person(norwegian)) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1479,plain,
% 0.58/0.71 (((~person(norwegian)) | owns(norwegian, zebra) | owns(norwegian, fox) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, dog)) <=> (owns(norwegian, fox) | (~person(norwegian)) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1480,plain,
% 0.58/0.71 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(norwegian)) | owns(norwegian, zebra) | owns(norwegian, fox) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(norwegian, fox) | (~person(norwegian)) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog)))),
% 0.58/0.71 inference(monotonicity,[status(thm)],[1479])).
% 0.58/0.71 tff(1481,plain,
% 0.58/0.71 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(norwegian)) | owns(norwegian, zebra) | owns(norwegian, fox) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(norwegian, fox) | (~person(norwegian)) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog))),
% 0.58/0.71 inference(transitivity,[status(thm)],[1480, 1478])).
% 0.58/0.71 tff(1482,plain,
% 0.58/0.71 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(norwegian)) | owns(norwegian, zebra) | owns(norwegian, fox) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, dog))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1483,plain,
% 0.58/0.71 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(norwegian, fox) | (~person(norwegian)) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog)),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 0.58/0.71 tff(1484,plain,
% 0.58/0.71 (owns(norwegian, fox) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra) | owns(norwegian, dog)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1483, 1428, 607])).
% 0.58/0.71 tff(1485,plain,
% 0.58/0.71 (owns(norwegian, fox) | owns(norwegian, horse) | owns(norwegian, snails) | owns(norwegian, zebra)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1484, 1477])).
% 0.58/0.71 tff(1486,plain,
% 0.58/0.71 (owns(norwegian, zebra)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1485, 1473, 1367, 1364])).
% 0.58/0.71 tff(1487,plain,
% 0.58/0.71 (animal(zebra) <=> animal(zebra)),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1488,axiom,(animal(zebra)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','zebra')).
% 0.58/0.71 tff(1489,plain,
% 0.58/0.71 (animal(zebra)),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 0.58/0.71 tff(1490,plain,
% 0.58/0.71 (^[H: $i] : refl(((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H))) <=> ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H))))),
% 0.58/0.71 inference(bind,[status(th)],[])).
% 0.58/0.71 tff(1491,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(quant_intro,[status(thm)],[1490])).
% 0.58/0.71 tff(1492,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1493,plain,
% 0.58/0.71 (^[H: $i] : rewrite((((~animal(H)) | (~owns(norwegian, H))) | (~owns(ukranian, H))) <=> ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H))))),
% 0.58/0.71 inference(bind,[status(th)],[])).
% 0.58/0.71 tff(1494,plain,
% 0.58/0.71 (![H: $i] : (((~animal(H)) | (~owns(norwegian, H))) | (~owns(ukranian, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(quant_intro,[status(thm)],[1493])).
% 0.58/0.71 tff(1495,axiom,(![H: $i] : (((~animal(H)) | (~owns(norwegian, H))) | (~owns(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_ukranian_own_different_pets')).
% 0.58/0.71 tff(1496,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 0.58/0.71 tff(1497,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1496, 1492])).
% 0.58/0.71 tff(1498,plain,(
% 0.58/0.71 ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(skolemize,[status(sab)],[1497])).
% 0.58/0.71 tff(1499,plain,
% 0.58/0.71 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1498, 1491])).
% 0.58/0.71 tff(1500,plain,
% 0.58/0.71 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(ukranian, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(ukranian, zebra)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1501,plain,
% 0.58/0.71 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(ukranian, zebra)))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1502,plain,
% 0.58/0.71 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(ukranian, zebra))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 0.58/0.71 tff(1503,plain,
% 0.58/0.71 ((~owns(norwegian, zebra)) | (~owns(ukranian, zebra))),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1502, 1499, 1489])).
% 0.58/0.71 tff(1504,plain,
% 0.58/0.71 (~owns(ukranian, zebra)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1503, 1486])).
% 0.58/0.71 tff(1505,plain,
% 0.58/0.71 (((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(ukranian, dog)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(ukranian, dog)))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1506,plain,
% 0.58/0.71 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(ukranian, dog)))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1507,plain,
% 0.58/0.71 ((~![H: $i] : ((~owns(spaniard, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(ukranian, dog))),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 0.58/0.71 tff(1508,plain,
% 0.58/0.71 (~owns(ukranian, dog)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1507, 1335, 1414, 1411])).
% 0.58/0.71 tff(1509,plain,
% 0.58/0.71 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(ukranian, horse) | (~person(ukranian)) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(ukranian, horse) | (~person(ukranian)) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1510,plain,
% 0.58/0.71 (((~person(ukranian)) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, horse) | owns(ukranian, snails) | owns(ukranian, dog)) <=> (owns(ukranian, horse) | (~person(ukranian)) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog))),
% 0.58/0.71 inference(rewrite,[status(thm)],[])).
% 0.58/0.71 tff(1511,plain,
% 0.58/0.71 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(ukranian)) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, horse) | owns(ukranian, snails) | owns(ukranian, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(ukranian, horse) | (~person(ukranian)) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog)))),
% 0.58/0.71 inference(monotonicity,[status(thm)],[1510])).
% 0.58/0.71 tff(1512,plain,
% 0.58/0.71 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(ukranian)) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, horse) | owns(ukranian, snails) | owns(ukranian, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(ukranian, horse) | (~person(ukranian)) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog))),
% 0.58/0.71 inference(transitivity,[status(thm)],[1511, 1509])).
% 0.58/0.71 tff(1513,plain,
% 0.58/0.71 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(ukranian)) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, horse) | owns(ukranian, snails) | owns(ukranian, dog))),
% 0.58/0.71 inference(quant_inst,[status(thm)],[])).
% 0.58/0.71 tff(1514,plain,
% 0.58/0.71 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(ukranian, horse) | (~person(ukranian)) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog)),
% 0.58/0.71 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 0.58/0.71 tff(1515,plain,
% 0.58/0.71 (owns(ukranian, horse) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox) | owns(ukranian, dog)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1514, 1428, 1280])).
% 0.58/0.71 tff(1516,plain,
% 0.58/0.71 (owns(ukranian, horse) | owns(ukranian, snails) | owns(ukranian, zebra) | owns(ukranian, fox)),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1515, 1508])).
% 0.58/0.71 tff(1517,plain,
% 0.58/0.71 ($false),
% 0.58/0.71 inference(unit_resolution,[status(thm)],[1516, 1504, 1455, 1365, 1390])).
% 0.58/0.71 tff(1518,plain,((~owns(english, horse)) | owns(ukranian, snails) | owns(norwegian, fox) | owns(norwegian, snails) | owns(japanese, zebra) | owns(japanese, snails)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.72 tff(1519,plain,
% 0.58/0.72 (~owns(english, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1518, 1366, 1367, 1364, 1365, 1363])).
% 0.58/0.72 tff(1520,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(english, dog)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(english, dog)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1521,plain,
% 0.58/0.72 (((~owns(spaniard, dog)) | (~owns(english, dog)) | (~animal(dog))) <=> ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(english, dog)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1522,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, dog)) | (~owns(english, dog)) | (~animal(dog)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, dog)) | (~animal(dog)) | (~owns(english, dog))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1521])).
% 0.58/0.72 tff(1523,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, dog)) | (~owns(english, dog)) | (~animal(dog)))) <=> ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(english, dog)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1522, 1520])).
% 0.58/0.72 tff(1524,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | ((~owns(spaniard, dog)) | (~owns(english, dog)) | (~animal(dog)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1525,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(spaniard, H)) | (~owns(english, H)) | (~animal(H)))) | (~owns(spaniard, dog)) | (~animal(dog)) | (~owns(english, dog))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1524, 1523])).
% 0.58/0.72 tff(1526,plain,
% 0.58/0.72 (~owns(english, dog)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1525, 1353, 1414, 1411])).
% 0.58/0.72 tff(1527,plain,
% 0.58/0.72 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(english, snails) | (~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(english, snails) | (~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1528,plain,
% 0.58/0.72 (((~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, snails) | owns(english, dog)) <=> (owns(english, snails) | (~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1529,plain,
% 0.58/0.72 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, snails) | owns(english, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | (owns(english, snails) | (~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog)))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1528])).
% 0.58/0.72 tff(1530,plain,
% 0.58/0.72 (((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, snails) | owns(english, dog))) <=> ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(english, snails) | (~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1529, 1527])).
% 0.58/0.72 tff(1531,plain,
% 0.58/0.72 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | ((~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, snails) | owns(english, dog))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1532,plain,
% 0.58/0.72 ((~![Person: $i] : ((~person(Person)) | owns(Person, zebra) | owns(Person, fox) | owns(Person, horse) | owns(Person, snails) | owns(Person, dog))) | owns(english, snails) | (~person(english)) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog)),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 0.58/0.72 tff(1533,plain,
% 0.58/0.72 (owns(english, snails) | owns(english, zebra) | owns(english, fox) | owns(english, horse) | owns(english, dog)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1532, 1428, 35])).
% 0.58/0.72 tff(1534,plain,
% 0.58/0.72 (owns(english, snails) | owns(english, zebra) | owns(english, fox) | owns(english, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1533, 1526])).
% 0.58/0.72 tff(1535,plain,
% 0.58/0.72 (owns(english, zebra)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1534, 1519, 1362, 1368])).
% 0.58/0.72 tff(1536,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(english, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(english, zebra)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1537,plain,
% 0.58/0.72 (((~owns(english, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra))) <=> ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(english, zebra)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1538,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(english, zebra))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1537])).
% 0.58/0.72 tff(1539,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(english, zebra)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1538, 1536])).
% 0.58/0.72 tff(1540,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1541,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(english, zebra))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 0.58/0.72 tff(1542,plain,
% 0.58/0.72 ((~owns(norwegian, zebra)) | (~owns(english, zebra))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1541, 1465, 1489])).
% 0.58/0.72 tff(1543,plain,
% 0.58/0.72 (~owns(norwegian, zebra)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1542, 1535])).
% 0.58/0.72 tff(1544,plain,
% 0.58/0.72 (owns(norwegian, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1485, 1543, 1367, 1364])).
% 0.58/0.72 tff(1545,plain,
% 0.58/0.72 (^[H: $i] : refl(((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H))) <=> ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H))))),
% 0.58/0.72 inference(bind,[status(th)],[])).
% 0.58/0.72 tff(1546,plain,
% 0.58/0.72 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(quant_intro,[status(thm)],[1545])).
% 0.58/0.72 tff(1547,plain,
% 0.58/0.72 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1548,plain,
% 0.58/0.72 (^[H: $i] : rewrite((((~animal(H)) | (~owns(norwegian, H))) | (~owns(japanese, H))) <=> ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H))))),
% 0.58/0.72 inference(bind,[status(th)],[])).
% 0.58/0.72 tff(1549,plain,
% 0.58/0.72 (![H: $i] : (((~animal(H)) | (~owns(norwegian, H))) | (~owns(japanese, H))) <=> ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(quant_intro,[status(thm)],[1548])).
% 0.58/0.72 tff(1550,axiom,(![H: $i] : (((~animal(H)) | (~owns(norwegian, H))) | (~owns(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_japanese_own_different_pets')).
% 0.58/0.72 tff(1551,plain,
% 0.58/0.72 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 0.58/0.72 tff(1552,plain,
% 0.58/0.72 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1551, 1547])).
% 0.58/0.72 tff(1553,plain,(
% 0.58/0.72 ![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(skolemize,[status(sab)],[1552])).
% 0.58/0.72 tff(1554,plain,
% 0.58/0.72 (![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1553, 1546])).
% 0.58/0.72 tff(1555,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~owns(norwegian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(norwegian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1556,plain,
% 0.58/0.72 (((~animal(horse)) | (~owns(norwegian, horse)) | (~owns(japanese, horse))) <=> ((~owns(norwegian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1557,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(norwegian, horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~owns(norwegian, horse)) | (~animal(horse)) | (~owns(japanese, horse))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1556])).
% 0.58/0.72 tff(1558,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(norwegian, horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(norwegian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1557, 1555])).
% 0.58/0.72 tff(1559,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(norwegian, horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1560,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(norwegian, horse)) | (~animal(horse)) | (~owns(japanese, horse))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 0.58/0.72 tff(1561,plain,
% 0.58/0.72 ((~owns(norwegian, horse)) | (~owns(japanese, horse))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1560, 1554, 1372])).
% 0.58/0.72 tff(1562,plain,
% 0.58/0.72 (~owns(japanese, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1561, 1544])).
% 0.58/0.72 tff(1563,plain,
% 0.58/0.72 (owns(japanese, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1436, 1562, 1366, 1363])).
% 0.58/0.72 tff(1564,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(english, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(english, zebra)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1565,plain,
% 0.58/0.72 (((~owns(english, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra))) <=> ((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(english, zebra)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1566,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(english, zebra))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1565])).
% 0.58/0.72 tff(1567,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(english, zebra)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1566, 1564])).
% 0.58/0.72 tff(1568,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1569,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(english, zebra))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 0.58/0.72 tff(1570,plain,
% 0.58/0.72 ((~owns(ukranian, zebra)) | (~owns(english, zebra))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1569, 1382, 1489])).
% 0.58/0.72 tff(1571,plain,
% 0.58/0.72 (~owns(ukranian, zebra)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1570, 1535])).
% 0.58/0.72 tff(1572,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(horse)) | (~owns(norwegian, horse)) | (~owns(ukranian, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(horse)) | (~owns(norwegian, horse)) | (~owns(ukranian, horse)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1573,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(horse)) | (~owns(norwegian, horse)) | (~owns(ukranian, horse)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1574,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(horse)) | (~owns(norwegian, horse)) | (~owns(ukranian, horse))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 0.58/0.72 tff(1575,plain,
% 0.58/0.72 ((~owns(norwegian, horse)) | (~owns(ukranian, horse))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1574, 1499, 1372])).
% 0.58/0.72 tff(1576,plain,
% 0.58/0.72 (~owns(ukranian, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1575, 1544])).
% 0.58/0.72 tff(1577,plain,
% 0.58/0.72 (owns(ukranian, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1516, 1576, 1365, 1571])).
% 0.58/0.72 tff(1578,plain,
% 0.58/0.72 ($false),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1454, 1577, 1563])).
% 0.58/0.72 tff(1579,plain,(owns(japanese, zebra) | owns(ukranian, snails) | owns(japanese, snails) | owns(norwegian, fox) | owns(norwegian, snails) | owns(english, snails) | owns(english, fox)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.72 tff(1580,plain,
% 0.58/0.72 (owns(english, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1579, 1367, 1363, 1365, 1364, 1362, 1366])).
% 0.58/0.72 tff(1581,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~animal(fox)) | (~owns(ukranian, fox)) | (~owns(english, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(fox)) | (~owns(ukranian, fox)) | (~owns(english, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1582,plain,
% 0.58/0.72 (((~owns(english, fox)) | (~animal(fox)) | (~owns(ukranian, fox))) <=> ((~animal(fox)) | (~owns(ukranian, fox)) | (~owns(english, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1583,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(ukranian, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~animal(fox)) | (~owns(ukranian, fox)) | (~owns(english, fox))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1582])).
% 0.58/0.72 tff(1584,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(ukranian, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(fox)) | (~owns(ukranian, fox)) | (~owns(english, fox)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1583, 1581])).
% 0.58/0.72 tff(1585,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(ukranian, fox)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1586,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~animal(fox)) | (~owns(ukranian, fox)) | (~owns(english, fox))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 0.58/0.72 tff(1587,plain,
% 0.58/0.72 ((~owns(ukranian, fox)) | (~owns(english, fox))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1586, 1382, 1440])).
% 0.58/0.72 tff(1588,plain,
% 0.58/0.72 (~owns(ukranian, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1587, 1580])).
% 0.58/0.72 tff(1589,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(japanese, fox)) | (~owns(english, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(fox)) | (~owns(japanese, fox)) | (~owns(english, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1590,plain,
% 0.58/0.72 (((~owns(english, fox)) | (~animal(fox)) | (~owns(japanese, fox))) <=> ((~animal(fox)) | (~owns(japanese, fox)) | (~owns(english, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1591,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(japanese, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(japanese, fox)) | (~owns(english, fox))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1590])).
% 0.58/0.72 tff(1592,plain,
% 0.58/0.72 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(japanese, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(fox)) | (~owns(japanese, fox)) | (~owns(english, fox)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1591, 1589])).
% 0.58/0.72 tff(1593,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(japanese, fox)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1594,plain,
% 0.58/0.72 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~animal(fox)) | (~owns(japanese, fox)) | (~owns(english, fox))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 0.58/0.72 tff(1595,plain,
% 0.58/0.72 ((~owns(japanese, fox)) | (~owns(english, fox))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1594, 1400, 1440])).
% 0.58/0.72 tff(1596,plain,
% 0.58/0.72 (~owns(japanese, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1595, 1580])).
% 0.58/0.72 tff(1597,plain,
% 0.58/0.72 (owns(japanese, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1436, 1596, 1366, 1363])).
% 0.58/0.72 tff(1598,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~owns(ukranian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~owns(ukranian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1599,plain,
% 0.58/0.72 (((~animal(horse)) | (~owns(ukranian, horse)) | (~owns(japanese, horse))) <=> ((~owns(ukranian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1600,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(ukranian, horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~owns(ukranian, horse)) | (~animal(horse)) | (~owns(japanese, horse))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1599])).
% 0.58/0.72 tff(1601,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(ukranian, horse)) | (~owns(japanese, horse)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~owns(ukranian, horse)) | (~animal(horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1600, 1598])).
% 0.58/0.72 tff(1602,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(horse)) | (~owns(ukranian, horse)) | (~owns(japanese, horse)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1603,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~owns(ukranian, horse)) | (~animal(horse)) | (~owns(japanese, horse))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 0.58/0.72 tff(1604,plain,
% 0.58/0.72 ((~owns(ukranian, horse)) | (~owns(japanese, horse))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1603, 1450, 1372])).
% 0.58/0.72 tff(1605,plain,
% 0.58/0.72 (~owns(ukranian, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1604, 1597])).
% 0.58/0.72 tff(1606,plain,
% 0.58/0.72 (owns(ukranian, zebra)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1516, 1605, 1365, 1588])).
% 0.58/0.72 tff(1607,plain,
% 0.58/0.72 (~owns(norwegian, horse)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1561, 1597])).
% 0.58/0.72 tff(1608,plain,
% 0.58/0.72 (owns(norwegian, zebra)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1485, 1607, 1367, 1364])).
% 0.58/0.72 tff(1609,plain,
% 0.58/0.72 ($false),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1503, 1608, 1606])).
% 0.58/0.72 tff(1610,plain,(owns(norwegian, fox) | owns(norwegian, snails) | owns(ukranian, snails) | owns(japanese, zebra) | owns(japanese, snails) | owns(english, snails)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.72 tff(1611,plain,
% 0.58/0.72 (owns(norwegian, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1610, 1366, 1365, 1364, 1363, 1362])).
% 0.58/0.72 tff(1612,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(fox)) | (~owns(norwegian, fox)) | (~owns(ukranian, fox)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(fox)) | (~owns(norwegian, fox)) | (~owns(ukranian, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1613,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(fox)) | (~owns(norwegian, fox)) | (~owns(ukranian, fox)))),
% 0.58/0.72 inference(quant_inst,[status(thm)],[])).
% 0.58/0.72 tff(1614,plain,
% 0.58/0.72 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(fox)) | (~owns(norwegian, fox)) | (~owns(ukranian, fox))),
% 0.58/0.72 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 0.58/0.72 tff(1615,plain,
% 0.58/0.72 ((~owns(norwegian, fox)) | (~owns(ukranian, fox))),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1614, 1499, 1440])).
% 0.58/0.72 tff(1616,plain,
% 0.58/0.72 (~owns(ukranian, fox)),
% 0.58/0.72 inference(unit_resolution,[status(thm)],[1615, 1611])).
% 0.58/0.72 tff(1617,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~owns(norwegian, fox)) | (~animal(fox)) | (~owns(japanese, fox)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(norwegian, fox)) | (~animal(fox)) | (~owns(japanese, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1618,plain,
% 0.58/0.72 (((~animal(fox)) | (~owns(norwegian, fox)) | (~owns(japanese, fox))) <=> ((~owns(norwegian, fox)) | (~animal(fox)) | (~owns(japanese, fox)))),
% 0.58/0.72 inference(rewrite,[status(thm)],[])).
% 0.58/0.72 tff(1619,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(norwegian, fox)) | (~owns(japanese, fox)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~owns(norwegian, fox)) | (~animal(fox)) | (~owns(japanese, fox))))),
% 0.58/0.72 inference(monotonicity,[status(thm)],[1618])).
% 0.58/0.72 tff(1620,plain,
% 0.58/0.72 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(norwegian, fox)) | (~owns(japanese, fox)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(norwegian, fox)) | (~animal(fox)) | (~owns(japanese, fox)))),
% 0.58/0.72 inference(transitivity,[status(thm)],[1619, 1617])).
% 0.58/0.72 tff(1621,plain,
% 0.58/0.73 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(fox)) | (~owns(norwegian, fox)) | (~owns(japanese, fox)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1622,plain,
% 0.58/0.73 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(norwegian, fox)) | (~animal(fox)) | (~owns(japanese, fox))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1621, 1620])).
% 0.58/0.73 tff(1623,plain,
% 0.58/0.73 ((~owns(norwegian, fox)) | (~owns(japanese, fox))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1622, 1554, 1440])).
% 0.58/0.73 tff(1624,plain,
% 0.58/0.73 (~owns(japanese, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1623, 1611])).
% 0.58/0.73 tff(1625,plain,
% 0.58/0.73 (owns(japanese, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1436, 1624, 1366, 1363])).
% 0.58/0.73 tff(1626,plain,
% 0.58/0.73 (~owns(ukranian, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1604, 1625])).
% 0.58/0.73 tff(1627,plain,
% 0.58/0.73 (owns(ukranian, zebra)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1516, 1626, 1365, 1616])).
% 0.58/0.73 tff(1628,plain,
% 0.58/0.73 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(norwegian, fox)) | (~animal(fox)) | (~owns(english, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(norwegian, fox)) | (~animal(fox)) | (~owns(english, fox)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1629,plain,
% 0.58/0.73 (((~owns(english, fox)) | (~animal(fox)) | (~owns(norwegian, fox))) <=> ((~owns(norwegian, fox)) | (~animal(fox)) | (~owns(english, fox)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1630,plain,
% 0.58/0.73 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(norwegian, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(norwegian, fox)) | (~animal(fox)) | (~owns(english, fox))))),
% 0.58/0.73 inference(monotonicity,[status(thm)],[1629])).
% 0.58/0.73 tff(1631,plain,
% 0.58/0.73 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(norwegian, fox)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(norwegian, fox)) | (~animal(fox)) | (~owns(english, fox)))),
% 0.58/0.73 inference(transitivity,[status(thm)],[1630, 1628])).
% 0.58/0.73 tff(1632,plain,
% 0.58/0.73 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, fox)) | (~animal(fox)) | (~owns(norwegian, fox)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1633,plain,
% 0.58/0.73 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(norwegian, fox)) | (~animal(fox)) | (~owns(english, fox))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 0.58/0.73 tff(1634,plain,
% 0.58/0.73 ((~owns(norwegian, fox)) | (~owns(english, fox))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1633, 1465, 1440])).
% 0.58/0.73 tff(1635,plain,
% 0.58/0.73 (~owns(english, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1634, 1611])).
% 0.58/0.73 tff(1636,plain,
% 0.58/0.73 (~owns(english, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1407, 1625])).
% 0.58/0.73 tff(1637,plain,
% 0.58/0.73 (owns(english, zebra)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1534, 1636, 1362, 1635])).
% 0.58/0.73 tff(1638,plain,
% 0.58/0.73 ($false),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1570, 1637, 1627])).
% 0.58/0.73 tff(1639,plain,(owns(japanese, zebra) | owns(english, snails) | owns(ukranian, snails) | owns(japanese, snails) | owns(norwegian, snails)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.73 tff(1640,plain,
% 0.58/0.73 (owns(japanese, zebra)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1639, 1361, 1343, 1325, 1307])).
% 0.58/0.73 tff(1641,plain,
% 0.58/0.73 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1642,plain,
% 0.58/0.73 (((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(japanese, zebra))) <=> ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1643,plain,
% 0.58/0.73 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(japanese, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra))))),
% 0.58/0.73 inference(monotonicity,[status(thm)],[1642])).
% 0.58/0.73 tff(1644,plain,
% 0.58/0.73 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(japanese, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra)))),
% 0.58/0.73 inference(transitivity,[status(thm)],[1643, 1641])).
% 0.58/0.73 tff(1645,plain,
% 0.58/0.73 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(zebra)) | (~owns(ukranian, zebra)) | (~owns(japanese, zebra)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1646,plain,
% 0.58/0.73 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(ukranian, zebra))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 0.58/0.73 tff(1647,plain,
% 0.58/0.73 ((~owns(japanese, zebra)) | (~owns(ukranian, zebra))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1646, 1450, 1489])).
% 0.58/0.73 tff(1648,plain,
% 0.58/0.73 (~owns(ukranian, zebra)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1647, 1640])).
% 0.58/0.73 tff(1649,plain,
% 0.58/0.73 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1650,plain,
% 0.58/0.73 (((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(japanese, zebra))) <=> ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1651,plain,
% 0.58/0.73 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(japanese, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra))))),
% 0.58/0.73 inference(monotonicity,[status(thm)],[1650])).
% 0.58/0.73 tff(1652,plain,
% 0.58/0.73 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(japanese, zebra)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra)))),
% 0.58/0.73 inference(transitivity,[status(thm)],[1651, 1649])).
% 0.58/0.73 tff(1653,plain,
% 0.58/0.73 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | ((~animal(zebra)) | (~owns(norwegian, zebra)) | (~owns(japanese, zebra)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1654,plain,
% 0.58/0.73 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(norwegian, zebra))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 0.58/0.73 tff(1655,plain,
% 0.58/0.73 ((~owns(japanese, zebra)) | (~owns(norwegian, zebra))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1654, 1554, 1489])).
% 0.58/0.73 tff(1656,plain,
% 0.58/0.73 (~owns(norwegian, zebra)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1655, 1640])).
% 0.58/0.73 tff(1657,plain,
% 0.58/0.73 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(english, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(english, zebra)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1658,plain,
% 0.58/0.73 (((~owns(english, zebra)) | (~animal(zebra)) | (~owns(japanese, zebra))) <=> ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(english, zebra)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1659,plain,
% 0.58/0.73 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(japanese, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(english, zebra))))),
% 0.58/0.73 inference(monotonicity,[status(thm)],[1658])).
% 0.58/0.73 tff(1660,plain,
% 0.58/0.73 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(japanese, zebra)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(english, zebra)))),
% 0.58/0.73 inference(transitivity,[status(thm)],[1659, 1657])).
% 0.58/0.73 tff(1661,plain,
% 0.58/0.73 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, zebra)) | (~animal(zebra)) | (~owns(japanese, zebra)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1662,plain,
% 0.58/0.73 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(japanese, zebra)) | (~animal(zebra)) | (~owns(english, zebra))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 0.58/0.73 tff(1663,plain,
% 0.58/0.73 ((~owns(japanese, zebra)) | (~owns(english, zebra))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1662, 1400, 1489])).
% 0.58/0.73 tff(1664,plain,
% 0.58/0.73 (~owns(english, zebra)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1663, 1640])).
% 0.58/0.73 tff(1665,assumption,(~owns(ukranian, zebra)), introduced(assumption)).
% 0.58/0.73 tff(1666,assumption,(owns(norwegian, horse)), introduced(assumption)).
% 0.58/0.73 tff(1667,plain,
% 0.58/0.73 (~owns(ukranian, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1575, 1666])).
% 0.58/0.73 tff(1668,plain,
% 0.58/0.73 (owns(ukranian, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1516, 1667, 1365, 1665])).
% 0.58/0.73 tff(1669,assumption,(~owns(english, zebra)), introduced(assumption)).
% 0.58/0.73 tff(1670,plain,
% 0.58/0.73 (~owns(english, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1472, 1666])).
% 0.58/0.73 tff(1671,plain,
% 0.58/0.73 (owns(english, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1534, 1670, 1362, 1669])).
% 0.58/0.73 tff(1672,plain,
% 0.58/0.73 ($false),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1587, 1671, 1668])).
% 0.58/0.73 tff(1673,plain,((~owns(norwegian, horse)) | owns(english, snails) | owns(english, zebra) | owns(ukranian, snails) | owns(ukranian, zebra)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.73 tff(1674,plain,
% 0.58/0.73 (~owns(norwegian, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1673, 1361, 1664, 1343, 1648])).
% 0.58/0.73 tff(1675,plain,
% 0.58/0.73 (owns(norwegian, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1485, 1674, 1656, 1307])).
% 0.58/0.73 tff(1676,plain,
% 0.58/0.73 (~owns(ukranian, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1615, 1675])).
% 0.58/0.73 tff(1677,plain,
% 0.58/0.73 (owns(ukranian, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1516, 1676, 1343, 1648])).
% 0.58/0.73 tff(1678,plain,
% 0.58/0.73 (~owns(english, fox)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1634, 1675])).
% 0.58/0.73 tff(1679,plain,
% 0.58/0.73 (owns(english, horse)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1534, 1678, 1361, 1664])).
% 0.58/0.73 tff(1680,plain,
% 0.58/0.73 ($false),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1389, 1679, 1677])).
% 0.58/0.73 tff(1681,plain,(~owns(spaniard, snails)), inference(lemma,lemma(discharge,[]))).
% 0.58/0.73 tff(1682,plain,
% 0.58/0.73 (^[P: $i] : refl(((~person(P)) | owns(P, snails) | (~drives(P, porsche))) <=> ((~person(P)) | owns(P, snails) | (~drives(P, porsche))))),
% 0.58/0.73 inference(bind,[status(th)],[])).
% 0.58/0.73 tff(1683,plain,
% 0.58/0.73 (![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche))) <=> ![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(quant_intro,[status(thm)],[1682])).
% 0.58/0.73 tff(1684,plain,
% 0.58/0.73 (![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche))) <=> ![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1685,plain,
% 0.58/0.73 (^[P: $i] : trans(monotonicity(rewrite((owns(P, snails) | (~person(P))) <=> ((~person(P)) | owns(P, snails))), (((owns(P, snails) | (~person(P))) | (~drives(P, porsche))) <=> (((~person(P)) | owns(P, snails)) | (~drives(P, porsche))))), rewrite((((~person(P)) | owns(P, snails)) | (~drives(P, porsche))) <=> ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))), (((owns(P, snails) | (~person(P))) | (~drives(P, porsche))) <=> ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))))),
% 0.58/0.73 inference(bind,[status(th)],[])).
% 0.58/0.73 tff(1686,plain,
% 0.58/0.73 (![P: $i] : ((owns(P, snails) | (~person(P))) | (~drives(P, porsche))) <=> ![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(quant_intro,[status(thm)],[1685])).
% 0.58/0.73 tff(1687,axiom,(![P: $i] : ((owns(P, snails) | (~person(P))) | (~drives(P, porsche)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','porsche_with_snails')).
% 0.58/0.73 tff(1688,plain,
% 0.58/0.73 (![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1687, 1686])).
% 0.58/0.73 tff(1689,plain,
% 0.58/0.73 (![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1688, 1684])).
% 0.58/0.73 tff(1690,plain,(
% 0.58/0.73 ![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(skolemize,[status(sab)],[1689])).
% 0.58/0.73 tff(1691,plain,
% 0.58/0.73 (![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1690, 1683])).
% 0.58/0.73 tff(1692,plain,
% 0.58/0.73 (((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(spaniard)) | owns(spaniard, snails) | (~drives(spaniard, porsche)))) <=> ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | (~person(spaniard)) | owns(spaniard, snails) | (~drives(spaniard, porsche)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1693,plain,
% 0.58/0.73 ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(spaniard)) | owns(spaniard, snails) | (~drives(spaniard, porsche)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1694,plain,
% 0.58/0.73 ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | (~person(spaniard)) | owns(spaniard, snails) | (~drives(spaniard, porsche))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 0.58/0.73 tff(1695,plain,
% 0.58/0.73 (owns(spaniard, snails) | (~drives(spaniard, porsche))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1694, 1063, 1691])).
% 0.58/0.73 tff(1696,plain,
% 0.58/0.73 (~drives(spaniard, porsche)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1695, 1681])).
% 0.58/0.73 tff(1697,plain,
% 0.58/0.73 (drives(japanese, jaguar) <=> drives(japanese, jaguar)),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1698,axiom,(drives(japanese, jaguar)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','japanese_drives_jaguar')).
% 0.58/0.73 tff(1699,plain,
% 0.58/0.73 (drives(japanese, jaguar)),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 0.58/0.73 tff(1700,plain,
% 0.58/0.73 (car(jaguar) <=> car(jaguar)),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1701,axiom,(car(jaguar)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','jaguar')).
% 0.58/0.73 tff(1702,plain,
% 0.58/0.73 (car(jaguar)),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 0.58/0.73 tff(1703,plain,
% 0.58/0.73 (^[H: $i] : refl(((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H))) <=> ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H))))),
% 0.58/0.73 inference(bind,[status(th)],[])).
% 0.58/0.73 tff(1704,plain,
% 0.58/0.73 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(quant_intro,[status(thm)],[1703])).
% 0.58/0.73 tff(1705,plain,
% 0.58/0.73 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1706,plain,
% 0.58/0.73 (^[H: $i] : rewrite((((~car(H)) | (~drives(spaniard, H))) | (~drives(japanese, H))) <=> ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H))))),
% 0.58/0.73 inference(bind,[status(th)],[])).
% 0.58/0.73 tff(1707,plain,
% 0.58/0.73 (![H: $i] : (((~car(H)) | (~drives(spaniard, H))) | (~drives(japanese, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(quant_intro,[status(thm)],[1706])).
% 0.58/0.73 tff(1708,axiom,(![H: $i] : (((~car(H)) | (~drives(spaniard, H))) | (~drives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_japanese_drive_different')).
% 0.58/0.73 tff(1709,plain,
% 0.58/0.73 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1708, 1707])).
% 0.58/0.73 tff(1710,plain,
% 0.58/0.73 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1709, 1705])).
% 0.58/0.73 tff(1711,plain,(
% 0.58/0.73 ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(skolemize,[status(sab)],[1710])).
% 0.58/0.73 tff(1712,plain,
% 0.58/0.73 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1711, 1704])).
% 0.58/0.73 tff(1713,plain,
% 0.58/0.73 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(spaniard, jaguar)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(spaniard, jaguar)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1714,plain,
% 0.58/0.73 (((~drives(spaniard, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar))) <=> ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(spaniard, jaguar)))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1715,plain,
% 0.58/0.73 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(spaniard, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(spaniard, jaguar))))),
% 0.58/0.73 inference(monotonicity,[status(thm)],[1714])).
% 0.58/0.73 tff(1716,plain,
% 0.58/0.73 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(spaniard, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(spaniard, jaguar)))),
% 0.58/0.73 inference(transitivity,[status(thm)],[1715, 1713])).
% 0.58/0.73 tff(1717,plain,
% 0.58/0.73 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(spaniard, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(1718,plain,
% 0.58/0.73 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(spaniard, jaguar))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 0.58/0.73 tff(1719,plain,
% 0.58/0.73 (~drives(spaniard, jaguar)),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[1718, 1712, 1702, 1699])).
% 0.58/0.73 tff(1720,plain,
% 0.58/0.73 (^[Person: $i] : refl(((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) <=> ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)))),
% 0.58/0.73 inference(bind,[status(th)],[])).
% 0.58/0.73 tff(1721,plain,
% 0.58/0.73 (![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) <=> ![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.58/0.73 inference(quant_intro,[status(thm)],[1720])).
% 0.58/0.73 tff(1722,plain,
% 0.58/0.73 (![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) <=> ![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.58/0.73 inference(rewrite,[status(thm)],[])).
% 0.58/0.73 tff(1723,plain,
% 0.58/0.73 (^[Person: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) <=> ((~person(Person)) | drives(Person, saab) | drives(Person, masserati))), (((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) <=> (((~person(Person)) | drives(Person, saab) | drives(Person, masserati)) | drives(Person, porsche)))), rewrite((((~person(Person)) | drives(Person, saab) | drives(Person, masserati)) | drives(Person, porsche)) <=> ((~person(Person)) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))), (((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) <=> ((~person(Person)) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)))), ((((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) | drives(Person, honda)) <=> (((~person(Person)) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) | drives(Person, honda)))), rewrite((((~person(Person)) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) | drives(Person, honda)) <=> ((~person(Person)) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))), ((((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) | drives(Person, honda)) <=> ((~person(Person)) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)))), (((((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) | drives(Person, honda)) | drives(Person, jaguar)) <=> (((~person(Person)) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) | drives(Person, jaguar)))), rewrite((((~person(Person)) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati)) | drives(Person, jaguar)) <=> ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))), (((((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) | drives(Person, honda)) | drives(Person, jaguar)) <=> ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))))),
% 0.58/0.73 inference(bind,[status(th)],[])).
% 0.58/0.73 tff(1724,plain,
% 0.58/0.73 (![Person: $i] : ((((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) | drives(Person, honda)) | drives(Person, jaguar)) <=> ![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.58/0.73 inference(quant_intro,[status(thm)],[1723])).
% 0.58/0.73 tff(1725,axiom,(![Person: $i] : ((((((~person(Person)) | drives(Person, masserati)) | drives(Person, saab)) | drives(Person, porsche)) | drives(Person, honda)) | drives(Person, jaguar))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','drive_something')).
% 0.58/0.73 tff(1726,plain,
% 0.58/0.73 (![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 0.58/0.73 tff(1727,plain,
% 0.58/0.73 (![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[1726, 1722])).
% 0.58/0.73 tff(1728,plain,(
% 0.58/0.73 ![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.58/0.73 inference(skolemize,[status(sab)],[1727])).
% 0.58/0.73 tff(1729,plain,
% 0.58/0.73 (![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1728, 1721])).
% 0.65/0.74 tff(1730,plain,
% 0.65/0.74 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(spaniard, honda) | (~person(spaniard)) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(spaniard, honda) | (~person(spaniard)) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1731,plain,
% 0.65/0.74 (((~person(spaniard)) | drives(spaniard, jaguar) | drives(spaniard, honda) | drives(spaniard, porsche) | drives(spaniard, saab) | drives(spaniard, masserati)) <=> (drives(spaniard, honda) | (~person(spaniard)) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1732,plain,
% 0.65/0.74 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(spaniard)) | drives(spaniard, jaguar) | drives(spaniard, honda) | drives(spaniard, porsche) | drives(spaniard, saab) | drives(spaniard, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(spaniard, honda) | (~person(spaniard)) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati)))),
% 0.65/0.74 inference(monotonicity,[status(thm)],[1731])).
% 0.65/0.74 tff(1733,plain,
% 0.65/0.74 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(spaniard)) | drives(spaniard, jaguar) | drives(spaniard, honda) | drives(spaniard, porsche) | drives(spaniard, saab) | drives(spaniard, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(spaniard, honda) | (~person(spaniard)) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati))),
% 0.65/0.74 inference(transitivity,[status(thm)],[1732, 1730])).
% 0.65/0.74 tff(1734,plain,
% 0.65/0.74 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(spaniard)) | drives(spaniard, jaguar) | drives(spaniard, honda) | drives(spaniard, porsche) | drives(spaniard, saab) | drives(spaniard, masserati))),
% 0.65/0.74 inference(quant_inst,[status(thm)],[])).
% 0.65/0.74 tff(1735,plain,
% 0.65/0.74 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(spaniard, honda) | (~person(spaniard)) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati)),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 0.65/0.74 tff(1736,plain,
% 0.65/0.74 (drives(spaniard, honda) | drives(spaniard, porsche) | drives(spaniard, jaguar) | drives(spaniard, saab) | drives(spaniard, masserati)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1735, 1729, 1063])).
% 0.65/0.74 tff(1737,plain,
% 0.65/0.74 (drives(spaniard, honda) | drives(spaniard, porsche) | drives(spaniard, saab) | drives(spaniard, masserati)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1736, 1719])).
% 0.65/0.74 tff(1738,plain,
% 0.65/0.74 (drives(spaniard, honda) | drives(spaniard, saab) | drives(spaniard, masserati)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1737, 1696])).
% 0.65/0.74 tff(1739,plain,
% 0.65/0.74 (drives(spaniard, saab)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1738, 1169, 1168])).
% 0.65/0.74 tff(1740,plain,
% 0.65/0.74 (car(saab) <=> car(saab)),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1741,axiom,(car(saab)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','saab')).
% 0.65/0.74 tff(1742,plain,
% 0.65/0.74 (car(saab)),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 0.65/0.74 tff(1743,plain,
% 0.65/0.74 (^[H: $i] : refl(((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H))) <=> ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1744,plain,
% 0.65/0.74 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1743])).
% 0.65/0.74 tff(1745,plain,
% 0.65/0.74 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1746,plain,
% 0.65/0.74 (^[H: $i] : rewrite((((~car(H)) | (~drives(spaniard, H))) | (~drives(ukranian, H))) <=> ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1747,plain,
% 0.65/0.74 (![H: $i] : (((~car(H)) | (~drives(spaniard, H))) | (~drives(ukranian, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1746])).
% 0.65/0.74 tff(1748,axiom,(![H: $i] : (((~car(H)) | (~drives(spaniard, H))) | (~drives(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_ukranian_drive_different')).
% 0.65/0.74 tff(1749,plain,
% 0.65/0.74 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 0.65/0.74 tff(1750,plain,
% 0.65/0.74 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1749, 1745])).
% 0.65/0.74 tff(1751,plain,(
% 0.65/0.74 ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(skolemize,[status(sab)],[1750])).
% 0.65/0.74 tff(1752,plain,
% 0.65/0.74 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1751, 1744])).
% 0.65/0.74 tff(1753,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(ukranian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(ukranian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1754,plain,
% 0.65/0.74 (((~drives(spaniard, saab)) | (~car(saab)) | (~drives(ukranian, saab))) <=> ((~drives(ukranian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1755,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, saab)) | (~car(saab)) | (~drives(ukranian, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(ukranian, saab)) | (~car(saab)) | (~drives(spaniard, saab))))),
% 0.65/0.74 inference(monotonicity,[status(thm)],[1754])).
% 0.65/0.74 tff(1756,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, saab)) | (~car(saab)) | (~drives(ukranian, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(ukranian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))),
% 0.65/0.74 inference(transitivity,[status(thm)],[1755, 1753])).
% 0.65/0.74 tff(1757,plain,
% 0.65/0.74 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, saab)) | (~car(saab)) | (~drives(ukranian, saab)))),
% 0.65/0.74 inference(quant_inst,[status(thm)],[])).
% 0.65/0.74 tff(1758,plain,
% 0.65/0.74 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(ukranian, saab)) | (~car(saab)) | (~drives(spaniard, saab))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 0.65/0.74 tff(1759,plain,
% 0.65/0.74 ((~drives(ukranian, saab)) | (~drives(spaniard, saab))),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1758, 1752, 1742])).
% 0.65/0.74 tff(1760,plain,
% 0.65/0.74 (~drives(ukranian, saab)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1759, 1739])).
% 0.65/0.74 tff(1761,assumption,(~drives(ukranian, masserati)), introduced(assumption)).
% 0.65/0.74 tff(1762,plain,
% 0.65/0.74 (^[H: $i] : refl(((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H))) <=> ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1763,plain,
% 0.65/0.74 (![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1762])).
% 0.65/0.74 tff(1764,plain,
% 0.65/0.74 (![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1765,plain,
% 0.65/0.74 (^[H: $i] : rewrite((((~car(H)) | (~drives(ukranian, H))) | (~drives(japanese, H))) <=> ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1766,plain,
% 0.65/0.74 (![H: $i] : (((~car(H)) | (~drives(ukranian, H))) | (~drives(japanese, H))) <=> ![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1765])).
% 0.65/0.74 tff(1767,axiom,(![H: $i] : (((~car(H)) | (~drives(ukranian, H))) | (~drives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ukranian_and_japanese_drive_different')).
% 0.65/0.74 tff(1768,plain,
% 0.65/0.74 (![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 0.65/0.74 tff(1769,plain,
% 0.65/0.74 (![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1768, 1764])).
% 0.65/0.74 tff(1770,plain,(
% 0.65/0.74 ![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(skolemize,[status(sab)],[1769])).
% 0.65/0.74 tff(1771,plain,
% 0.65/0.74 (![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1770, 1763])).
% 0.65/0.74 tff(1772,plain,
% 0.65/0.74 (((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(ukranian, jaguar)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(ukranian, jaguar)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1773,plain,
% 0.65/0.74 (((~car(jaguar)) | (~drives(ukranian, jaguar)) | (~drives(japanese, jaguar))) <=> ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(ukranian, jaguar)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1774,plain,
% 0.65/0.74 (((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | ((~car(jaguar)) | (~drives(ukranian, jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(ukranian, jaguar))))),
% 0.65/0.74 inference(monotonicity,[status(thm)],[1773])).
% 0.65/0.74 tff(1775,plain,
% 0.65/0.74 (((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | ((~car(jaguar)) | (~drives(ukranian, jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(ukranian, jaguar)))),
% 0.65/0.74 inference(transitivity,[status(thm)],[1774, 1772])).
% 0.65/0.74 tff(1776,plain,
% 0.65/0.74 ((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | ((~car(jaguar)) | (~drives(ukranian, jaguar)) | (~drives(japanese, jaguar)))),
% 0.65/0.74 inference(quant_inst,[status(thm)],[])).
% 0.65/0.74 tff(1777,plain,
% 0.65/0.74 ((~![H: $i] : ((~car(H)) | (~drives(ukranian, H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(ukranian, jaguar))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1776, 1775])).
% 0.65/0.74 tff(1778,plain,
% 0.65/0.74 (~drives(ukranian, jaguar)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1777, 1771, 1702, 1699])).
% 0.65/0.74 tff(1779,plain,
% 0.65/0.74 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(ukranian, saab) | (~person(ukranian)) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(ukranian, saab) | (~person(ukranian)) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1780,plain,
% 0.65/0.74 (((~person(ukranian)) | drives(ukranian, jaguar) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, saab) | drives(ukranian, masserati)) <=> (drives(ukranian, saab) | (~person(ukranian)) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1781,plain,
% 0.65/0.74 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(ukranian)) | drives(ukranian, jaguar) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, saab) | drives(ukranian, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(ukranian, saab) | (~person(ukranian)) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati)))),
% 0.65/0.74 inference(monotonicity,[status(thm)],[1780])).
% 0.65/0.74 tff(1782,plain,
% 0.65/0.74 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(ukranian)) | drives(ukranian, jaguar) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, saab) | drives(ukranian, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(ukranian, saab) | (~person(ukranian)) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati))),
% 0.65/0.74 inference(transitivity,[status(thm)],[1781, 1779])).
% 0.65/0.74 tff(1783,plain,
% 0.65/0.74 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(ukranian)) | drives(ukranian, jaguar) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, saab) | drives(ukranian, masserati))),
% 0.65/0.74 inference(quant_inst,[status(thm)],[])).
% 0.65/0.74 tff(1784,plain,
% 0.65/0.74 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(ukranian, saab) | (~person(ukranian)) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati)),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1783, 1782])).
% 0.65/0.74 tff(1785,plain,
% 0.65/0.74 (drives(ukranian, saab) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, jaguar) | drives(ukranian, masserati)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1784, 1729, 1280])).
% 0.65/0.74 tff(1786,plain,
% 0.65/0.74 (drives(ukranian, saab) | drives(ukranian, honda) | drives(ukranian, porsche) | drives(ukranian, masserati)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1785, 1778])).
% 0.65/0.74 tff(1787,plain,
% 0.65/0.74 (drives(ukranian, porsche)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1786, 1761, 1760, 1285])).
% 0.65/0.74 tff(1788,assumption,(~drives(spaniard, honda)), introduced(assumption)).
% 0.65/0.74 tff(1789,assumption,(drives(ukranian, porsche)), introduced(assumption)).
% 0.65/0.74 tff(1790,plain,
% 0.65/0.74 (car(porsche) <=> car(porsche)),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1791,axiom,(car(porsche)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','porsche')).
% 0.65/0.74 tff(1792,plain,
% 0.65/0.74 (car(porsche)),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 0.65/0.74 tff(1793,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(spaniard, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1794,plain,
% 0.65/0.74 (((~drives(spaniard, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche))) <=> ((~drives(spaniard, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1795,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche))))),
% 0.65/0.74 inference(monotonicity,[status(thm)],[1794])).
% 0.65/0.74 tff(1796,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(spaniard, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))),
% 0.65/0.74 inference(transitivity,[status(thm)],[1795, 1793])).
% 0.65/0.74 tff(1797,plain,
% 0.65/0.74 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(spaniard, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche)))),
% 0.65/0.74 inference(quant_inst,[status(thm)],[])).
% 0.65/0.74 tff(1798,plain,
% 0.65/0.74 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(spaniard, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 0.65/0.74 tff(1799,plain,
% 0.65/0.74 ((~drives(spaniard, porsche)) | (~drives(ukranian, porsche))),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1798, 1752, 1792])).
% 0.65/0.74 tff(1800,plain,
% 0.65/0.74 (~drives(spaniard, porsche)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1799, 1789])).
% 0.65/0.74 tff(1801,plain,
% 0.65/0.74 (drives(spaniard, saab)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1737, 1800, 1169, 1788])).
% 0.65/0.74 tff(1802,assumption,(~drives(english, honda)), introduced(assumption)).
% 0.65/0.74 tff(1803,plain,
% 0.65/0.74 (^[H: $i] : refl(((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H))) <=> ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1804,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1803])).
% 0.65/0.74 tff(1805,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1806,plain,
% 0.65/0.74 (^[H: $i] : rewrite((((~car(H)) | (~drives(english, H))) | (~drives(ukranian, H))) <=> ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1807,plain,
% 0.65/0.74 (![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(ukranian, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1806])).
% 0.65/0.74 tff(1808,axiom,(![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_ukranian_drive_different')).
% 0.65/0.74 tff(1809,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1808, 1807])).
% 0.65/0.74 tff(1810,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1809, 1805])).
% 0.65/0.74 tff(1811,plain,(
% 0.65/0.74 ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(skolemize,[status(sab)],[1810])).
% 0.65/0.74 tff(1812,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1811, 1804])).
% 0.65/0.74 tff(1813,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(english, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1814,plain,
% 0.65/0.74 (((~drives(english, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche))) <=> ((~drives(english, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1815,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche))))),
% 0.65/0.74 inference(monotonicity,[status(thm)],[1814])).
% 0.65/0.74 tff(1816,plain,
% 0.65/0.74 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(english, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche)))),
% 0.65/0.74 inference(transitivity,[status(thm)],[1815, 1813])).
% 0.65/0.74 tff(1817,plain,
% 0.65/0.74 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, porsche)) | (~car(porsche)) | (~drives(ukranian, porsche)))),
% 0.65/0.74 inference(quant_inst,[status(thm)],[])).
% 0.65/0.74 tff(1818,plain,
% 0.65/0.74 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(english, porsche)) | (~drives(ukranian, porsche)) | (~car(porsche))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 0.65/0.74 tff(1819,plain,
% 0.65/0.74 ((~drives(english, porsche)) | (~drives(ukranian, porsche))),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1818, 1812, 1792])).
% 0.65/0.74 tff(1820,plain,
% 0.65/0.74 (~drives(english, porsche)),
% 0.65/0.74 inference(unit_resolution,[status(thm)],[1819, 1789])).
% 0.65/0.74 tff(1821,plain,
% 0.65/0.74 (^[H: $i] : refl(((~drives(english, H)) | (~car(H)) | (~drives(japanese, H))) <=> ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1822,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1821])).
% 0.65/0.74 tff(1823,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(rewrite,[status(thm)],[])).
% 0.65/0.74 tff(1824,plain,
% 0.65/0.74 (^[H: $i] : rewrite((((~car(H)) | (~drives(english, H))) | (~drives(japanese, H))) <=> ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H))))),
% 0.65/0.74 inference(bind,[status(th)],[])).
% 0.65/0.74 tff(1825,plain,
% 0.65/0.74 (![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(japanese, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(quant_intro,[status(thm)],[1824])).
% 0.65/0.74 tff(1826,axiom,(![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_japanese_drive_different')).
% 0.65/0.74 tff(1827,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 0.65/0.74 tff(1828,plain,
% 0.65/0.74 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(modus_ponens,[status(thm)],[1827, 1823])).
% 0.65/0.74 tff(1829,plain,(
% 0.65/0.74 ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.74 inference(skolemize,[status(sab)],[1828])).
% 0.65/0.75 tff(1830,plain,
% 0.65/0.75 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1829, 1822])).
% 0.65/0.75 tff(1831,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(english, jaguar)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(english, jaguar)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1832,plain,
% 0.65/0.75 (((~drives(english, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar))) <=> ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(english, jaguar)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1833,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(english, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(english, jaguar))))),
% 0.65/0.75 inference(monotonicity,[status(thm)],[1832])).
% 0.65/0.75 tff(1834,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(english, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(english, jaguar)))),
% 0.65/0.75 inference(transitivity,[status(thm)],[1833, 1831])).
% 0.65/0.75 tff(1835,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | ((~drives(english, jaguar)) | (~car(jaguar)) | (~drives(japanese, jaguar)))),
% 0.65/0.75 inference(quant_inst,[status(thm)],[])).
% 0.65/0.75 tff(1836,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(english, jaguar))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1835, 1834])).
% 0.65/0.75 tff(1837,plain,
% 0.65/0.75 (~drives(english, jaguar)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1836, 1830, 1702, 1699])).
% 0.65/0.75 tff(1838,plain,
% 0.65/0.75 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(english, porsche) | (~person(english)) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(english, porsche) | (~person(english)) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1839,plain,
% 0.65/0.75 (((~person(english)) | drives(english, jaguar) | drives(english, honda) | drives(english, porsche) | drives(english, saab) | drives(english, masserati)) <=> (drives(english, porsche) | (~person(english)) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1840,plain,
% 0.65/0.75 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(english)) | drives(english, jaguar) | drives(english, honda) | drives(english, porsche) | drives(english, saab) | drives(english, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(english, porsche) | (~person(english)) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati)))),
% 0.65/0.75 inference(monotonicity,[status(thm)],[1839])).
% 0.65/0.75 tff(1841,plain,
% 0.65/0.75 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(english)) | drives(english, jaguar) | drives(english, honda) | drives(english, porsche) | drives(english, saab) | drives(english, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(english, porsche) | (~person(english)) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati))),
% 0.65/0.75 inference(transitivity,[status(thm)],[1840, 1838])).
% 0.65/0.75 tff(1842,plain,
% 0.65/0.75 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(english)) | drives(english, jaguar) | drives(english, honda) | drives(english, porsche) | drives(english, saab) | drives(english, masserati))),
% 0.65/0.75 inference(quant_inst,[status(thm)],[])).
% 0.65/0.75 tff(1843,plain,
% 0.65/0.75 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(english, porsche) | (~person(english)) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati)),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 0.65/0.75 tff(1844,plain,
% 0.65/0.75 (drives(english, porsche) | drives(english, honda) | drives(english, jaguar) | drives(english, saab) | drives(english, masserati)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1843, 1729, 35])).
% 0.65/0.75 tff(1845,plain,
% 0.65/0.75 (drives(english, porsche) | drives(english, honda) | drives(english, saab) | drives(english, masserati)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1844, 1837])).
% 0.65/0.75 tff(1846,plain,
% 0.65/0.75 (drives(english, saab)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1845, 1820, 1170, 1802])).
% 0.65/0.75 tff(1847,plain,
% 0.65/0.75 (^[H: $i] : refl(((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H))) <=> ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1848,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1847])).
% 0.65/0.75 tff(1849,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1850,plain,
% 0.65/0.75 (^[H: $i] : rewrite((((~car(H)) | (~drives(english, H))) | (~drives(spaniard, H))) <=> ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1851,plain,
% 0.65/0.75 (![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(spaniard, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1850])).
% 0.65/0.75 tff(1852,axiom,(![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(spaniard, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_spaniard_drive_different')).
% 0.65/0.75 tff(1853,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 0.65/0.75 tff(1854,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1853, 1849])).
% 0.65/0.75 tff(1855,plain,(
% 0.65/0.75 ![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(skolemize,[status(sab)],[1854])).
% 0.65/0.75 tff(1856,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1855, 1848])).
% 0.65/0.75 tff(1857,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~car(saab)) | (~drives(spaniard, saab)) | (~drives(english, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~car(saab)) | (~drives(spaniard, saab)) | (~drives(english, saab)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1858,plain,
% 0.65/0.75 (((~drives(spaniard, saab)) | (~drives(english, saab)) | (~car(saab))) <=> ((~car(saab)) | (~drives(spaniard, saab)) | (~drives(english, saab)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1859,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, saab)) | (~drives(english, saab)) | (~car(saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~car(saab)) | (~drives(spaniard, saab)) | (~drives(english, saab))))),
% 0.65/0.75 inference(monotonicity,[status(thm)],[1858])).
% 0.65/0.75 tff(1860,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, saab)) | (~drives(english, saab)) | (~car(saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~car(saab)) | (~drives(spaniard, saab)) | (~drives(english, saab)))),
% 0.65/0.75 inference(transitivity,[status(thm)],[1859, 1857])).
% 0.65/0.75 tff(1861,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, saab)) | (~drives(english, saab)) | (~car(saab)))),
% 0.65/0.75 inference(quant_inst,[status(thm)],[])).
% 0.65/0.75 tff(1862,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~car(saab)) | (~drives(spaniard, saab)) | (~drives(english, saab))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 0.65/0.75 tff(1863,plain,
% 0.65/0.75 ((~drives(spaniard, saab)) | (~drives(english, saab))),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1862, 1856, 1742])).
% 0.65/0.75 tff(1864,plain,
% 0.65/0.75 ($false),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1863, 1846, 1801])).
% 0.65/0.75 tff(1865,plain,((~drives(ukranian, porsche)) | drives(english, masserati) | drives(english, honda) | drives(spaniard, masserati) | drives(spaniard, honda)), inference(lemma,lemma(discharge,[]))).
% 0.65/0.75 tff(1866,plain,
% 0.65/0.75 (drives(english, honda)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1865, 1787, 1170, 1169, 1168])).
% 0.65/0.75 tff(1867,plain,
% 0.65/0.75 (car(honda) <=> car(honda)),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1868,axiom,(car(honda)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','honda')).
% 0.65/0.75 tff(1869,plain,
% 0.65/0.75 (car(honda)),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 0.65/0.75 tff(1870,plain,
% 0.65/0.75 (^[H: $i] : refl(((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H))) <=> ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1871,plain,
% 0.65/0.75 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1870])).
% 0.65/0.75 tff(1872,plain,
% 0.65/0.75 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1873,plain,
% 0.65/0.75 (^[H: $i] : rewrite((((~car(H)) | (~drives(english, H))) | (~drives(norwegian, H))) <=> ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1874,plain,
% 0.65/0.75 (![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(norwegian, H))) <=> ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1873])).
% 0.65/0.75 tff(1875,axiom,(![H: $i] : (((~car(H)) | (~drives(english, H))) | (~drives(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_norwegian_drive_different')).
% 0.65/0.75 tff(1876,plain,
% 0.65/0.75 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 0.65/0.75 tff(1877,plain,
% 0.65/0.75 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1876, 1872])).
% 0.65/0.75 tff(1878,plain,(
% 0.65/0.75 ![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(skolemize,[status(sab)],[1877])).
% 0.65/0.75 tff(1879,plain,
% 0.65/0.75 (![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1878, 1871])).
% 0.65/0.75 tff(1880,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, honda)) | (~drives(norwegian, honda)) | (~car(honda)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(english, honda)) | (~drives(norwegian, honda)) | (~car(honda)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1881,plain,
% 0.65/0.75 (((~drives(english, honda)) | (~car(honda)) | (~drives(norwegian, honda))) <=> ((~drives(english, honda)) | (~drives(norwegian, honda)) | (~car(honda)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1882,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, honda)) | (~car(honda)) | (~drives(norwegian, honda)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, honda)) | (~drives(norwegian, honda)) | (~car(honda))))),
% 0.65/0.75 inference(monotonicity,[status(thm)],[1881])).
% 0.65/0.75 tff(1883,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, honda)) | (~car(honda)) | (~drives(norwegian, honda)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(english, honda)) | (~drives(norwegian, honda)) | (~car(honda)))),
% 0.65/0.75 inference(transitivity,[status(thm)],[1882, 1880])).
% 0.65/0.75 tff(1884,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, honda)) | (~car(honda)) | (~drives(norwegian, honda)))),
% 0.65/0.75 inference(quant_inst,[status(thm)],[])).
% 0.65/0.75 tff(1885,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(english, honda)) | (~drives(norwegian, honda)) | (~car(honda))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 0.65/0.75 tff(1886,plain,
% 0.65/0.75 ((~drives(english, honda)) | (~drives(norwegian, honda))),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1885, 1879, 1869])).
% 0.65/0.75 tff(1887,plain,
% 0.65/0.75 (~drives(norwegian, honda)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1886, 1866])).
% 0.65/0.75 tff(1888,assumption,(lives(english, house_5)), introduced(assumption)).
% 0.65/0.75 tff(1889,assumption,(drives(spaniard, saab)), introduced(assumption)).
% 0.65/0.75 tff(1890,plain,
% 0.65/0.75 (^[H: $i] : refl(((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H))) <=> ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1891,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1890])).
% 0.65/0.75 tff(1892,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1893,plain,
% 0.65/0.75 (^[H: $i] : rewrite((((~car(H)) | (~drives(spaniard, H))) | (~drives(norwegian, H))) <=> ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1894,plain,
% 0.65/0.75 (![H: $i] : (((~car(H)) | (~drives(spaniard, H))) | (~drives(norwegian, H))) <=> ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1893])).
% 0.65/0.75 tff(1895,axiom,(![H: $i] : (((~car(H)) | (~drives(spaniard, H))) | (~drives(norwegian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_norwegian_drive_different')).
% 0.65/0.75 tff(1896,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 0.65/0.75 tff(1897,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1896, 1892])).
% 0.65/0.75 tff(1898,plain,(
% 0.65/0.75 ![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(skolemize,[status(sab)],[1897])).
% 0.65/0.75 tff(1899,plain,
% 0.65/0.75 (![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1898, 1891])).
% 0.65/0.75 tff(1900,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(norwegian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1901,plain,
% 0.65/0.75 (((~drives(spaniard, saab)) | (~car(saab)) | (~drives(norwegian, saab))) <=> ((~drives(norwegian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1902,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(spaniard, saab)) | (~car(saab)) | (~drives(norwegian, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(norwegian, saab)) | (~car(saab)) | (~drives(spaniard, saab))))),
% 0.65/0.75 inference(monotonicity,[status(thm)],[1901])).
% 0.65/0.75 tff(1903,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(spaniard, saab)) | (~car(saab)) | (~drives(norwegian, saab)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, saab)) | (~car(saab)) | (~drives(spaniard, saab)))),
% 0.65/0.75 inference(transitivity,[status(thm)],[1902, 1900])).
% 0.65/0.75 tff(1904,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(spaniard, saab)) | (~car(saab)) | (~drives(norwegian, saab)))),
% 0.65/0.75 inference(quant_inst,[status(thm)],[])).
% 0.65/0.75 tff(1905,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, saab)) | (~car(saab)) | (~drives(spaniard, saab))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1904, 1903])).
% 0.65/0.75 tff(1906,plain,
% 0.65/0.75 ((~drives(norwegian, saab)) | (~drives(spaniard, saab))),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1905, 1899, 1742])).
% 0.65/0.75 tff(1907,plain,
% 0.65/0.75 (~drives(norwegian, saab)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1906, 1889])).
% 0.65/0.75 tff(1908,assumption,(drives(english, honda)), introduced(assumption)).
% 0.65/0.75 tff(1909,plain,
% 0.65/0.75 (~drives(norwegian, honda)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1886, 1908])).
% 0.65/0.75 tff(1910,plain,
% 0.65/0.75 (~drives(ukranian, saab)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1759, 1889])).
% 0.65/0.75 tff(1911,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, honda)) | (~drives(ukranian, honda)) | (~car(honda)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(english, honda)) | (~drives(ukranian, honda)) | (~car(honda)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1912,plain,
% 0.65/0.75 (((~drives(english, honda)) | (~car(honda)) | (~drives(ukranian, honda))) <=> ((~drives(english, honda)) | (~drives(ukranian, honda)) | (~car(honda)))),
% 0.65/0.75 inference(rewrite,[status(thm)],[])).
% 0.65/0.75 tff(1913,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, honda)) | (~car(honda)) | (~drives(ukranian, honda)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, honda)) | (~drives(ukranian, honda)) | (~car(honda))))),
% 0.65/0.75 inference(monotonicity,[status(thm)],[1912])).
% 0.65/0.75 tff(1914,plain,
% 0.65/0.75 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, honda)) | (~car(honda)) | (~drives(ukranian, honda)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(english, honda)) | (~drives(ukranian, honda)) | (~car(honda)))),
% 0.65/0.75 inference(transitivity,[status(thm)],[1913, 1911])).
% 0.65/0.75 tff(1915,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, honda)) | (~car(honda)) | (~drives(ukranian, honda)))),
% 0.65/0.75 inference(quant_inst,[status(thm)],[])).
% 0.65/0.75 tff(1916,plain,
% 0.65/0.75 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(english, honda)) | (~drives(ukranian, honda)) | (~car(honda))),
% 0.65/0.75 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 0.65/0.75 tff(1917,plain,
% 0.65/0.75 ((~drives(english, honda)) | (~drives(ukranian, honda))),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1916, 1812, 1869])).
% 0.65/0.75 tff(1918,plain,
% 0.65/0.75 (~drives(ukranian, honda)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1917, 1908])).
% 0.65/0.75 tff(1919,plain,
% 0.65/0.75 (drives(ukranian, porsche)),
% 0.65/0.75 inference(unit_resolution,[status(thm)],[1786, 1918, 1761, 1910])).
% 0.65/0.75 tff(1920,plain,
% 0.65/0.75 (^[H: $i] : refl(((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H))) <=> ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H))))),
% 0.65/0.75 inference(bind,[status(th)],[])).
% 0.65/0.75 tff(1921,plain,
% 0.65/0.75 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H))) <=> ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.75 inference(quant_intro,[status(thm)],[1920])).
% 0.65/0.75 tff(1922,plain,
% 0.65/0.75 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H))) <=> ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.76 inference(rewrite,[status(thm)],[])).
% 0.65/0.76 tff(1923,plain,
% 0.65/0.76 (^[H: $i] : rewrite((((~car(H)) | (~drives(norwegian, H))) | (~drives(ukranian, H))) <=> ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H))))),
% 0.65/0.76 inference(bind,[status(th)],[])).
% 0.65/0.76 tff(1924,plain,
% 0.65/0.76 (![H: $i] : (((~car(H)) | (~drives(norwegian, H))) | (~drives(ukranian, H))) <=> ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.76 inference(quant_intro,[status(thm)],[1923])).
% 0.65/0.76 tff(1925,axiom,(![H: $i] : (((~car(H)) | (~drives(norwegian, H))) | (~drives(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_ukranian_drive_different')).
% 0.65/0.76 tff(1926,plain,
% 0.65/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.76 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 0.65/0.76 tff(1927,plain,
% 0.65/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.76 inference(modus_ponens,[status(thm)],[1926, 1922])).
% 0.65/0.76 tff(1928,plain,(
% 0.65/0.76 ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.76 inference(skolemize,[status(sab)],[1927])).
% 0.65/0.76 tff(1929,plain,
% 0.65/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))),
% 0.65/0.76 inference(modus_ponens,[status(thm)],[1928, 1921])).
% 0.65/0.76 tff(1930,plain,
% 0.65/0.76 (((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | ((~car(porsche)) | (~drives(norwegian, porsche)) | (~drives(ukranian, porsche)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | (~car(porsche)) | (~drives(norwegian, porsche)) | (~drives(ukranian, porsche)))),
% 0.65/0.76 inference(rewrite,[status(thm)],[])).
% 0.65/0.76 tff(1931,plain,
% 0.65/0.76 ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | ((~car(porsche)) | (~drives(norwegian, porsche)) | (~drives(ukranian, porsche)))),
% 0.65/0.76 inference(quant_inst,[status(thm)],[])).
% 0.65/0.76 tff(1932,plain,
% 0.65/0.76 ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | (~car(porsche)) | (~drives(norwegian, porsche)) | (~drives(ukranian, porsche))),
% 0.65/0.76 inference(modus_ponens,[status(thm)],[1931, 1930])).
% 0.65/0.76 tff(1933,plain,
% 0.65/0.76 ((~drives(norwegian, porsche)) | (~drives(ukranian, porsche))),
% 0.65/0.76 inference(unit_resolution,[status(thm)],[1932, 1929, 1792])).
% 0.65/0.76 tff(1934,plain,
% 0.65/0.76 (~drives(norwegian, porsche)),
% 0.65/0.76 inference(unit_resolution,[status(thm)],[1933, 1919])).
% 0.65/0.76 tff(1935,plain,
% 0.65/0.76 (^[H: $i] : refl(((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H))) <=> ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H))))),
% 0.65/0.76 inference(bind,[status(th)],[])).
% 0.65/0.76 tff(1936,plain,
% 0.65/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.65/0.76 inference(quant_intro,[status(thm)],[1935])).
% 0.65/0.76 tff(1937,plain,
% 0.65/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H))) <=> ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.65/0.76 inference(rewrite,[status(thm)],[])).
% 0.65/0.76 tff(1938,plain,
% 0.67/0.76 (^[H: $i] : rewrite((((~car(H)) | (~drives(norwegian, H))) | (~drives(japanese, H))) <=> ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H))))),
% 0.67/0.76 inference(bind,[status(th)],[])).
% 0.67/0.76 tff(1939,plain,
% 0.67/0.76 (![H: $i] : (((~car(H)) | (~drives(norwegian, H))) | (~drives(japanese, H))) <=> ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.67/0.76 inference(quant_intro,[status(thm)],[1938])).
% 0.67/0.76 tff(1940,axiom,(![H: $i] : (((~car(H)) | (~drives(norwegian, H))) | (~drives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_japanese_drive_different')).
% 0.67/0.76 tff(1941,plain,
% 0.67/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1940, 1939])).
% 0.67/0.76 tff(1942,plain,
% 0.67/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1941, 1937])).
% 0.67/0.76 tff(1943,plain,(
% 0.67/0.76 ![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.67/0.76 inference(skolemize,[status(sab)],[1942])).
% 0.67/0.76 tff(1944,plain,
% 0.67/0.76 (![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1943, 1936])).
% 0.67/0.76 tff(1945,plain,
% 0.67/0.76 (((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(norwegian, jaguar)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(norwegian, jaguar)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1946,plain,
% 0.67/0.76 (((~car(jaguar)) | (~drives(norwegian, jaguar)) | (~drives(japanese, jaguar))) <=> ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(norwegian, jaguar)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1947,plain,
% 0.67/0.76 (((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | ((~car(jaguar)) | (~drives(norwegian, jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | ((~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(norwegian, jaguar))))),
% 0.67/0.76 inference(monotonicity,[status(thm)],[1946])).
% 0.67/0.76 tff(1948,plain,
% 0.67/0.76 (((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | ((~car(jaguar)) | (~drives(norwegian, jaguar)) | (~drives(japanese, jaguar)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(norwegian, jaguar)))),
% 0.67/0.76 inference(transitivity,[status(thm)],[1947, 1945])).
% 0.67/0.76 tff(1949,plain,
% 0.67/0.76 ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | ((~car(jaguar)) | (~drives(norwegian, jaguar)) | (~drives(japanese, jaguar)))),
% 0.67/0.76 inference(quant_inst,[status(thm)],[])).
% 0.67/0.76 tff(1950,plain,
% 0.67/0.76 ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(japanese, H)))) | (~drives(japanese, jaguar)) | (~car(jaguar)) | (~drives(norwegian, jaguar))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 0.67/0.76 tff(1951,plain,
% 0.67/0.76 (~drives(norwegian, jaguar)),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1950, 1944, 1702, 1699])).
% 0.67/0.76 tff(1952,plain,
% 0.67/0.76 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(norwegian, masserati) | (~person(norwegian)) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(norwegian, masserati) | (~person(norwegian)) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1953,plain,
% 0.67/0.76 (((~person(norwegian)) | drives(norwegian, jaguar) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, saab) | drives(norwegian, masserati)) <=> (drives(norwegian, masserati) | (~person(norwegian)) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1954,plain,
% 0.67/0.76 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(norwegian)) | drives(norwegian, jaguar) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, saab) | drives(norwegian, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | (drives(norwegian, masserati) | (~person(norwegian)) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar)))),
% 0.67/0.76 inference(monotonicity,[status(thm)],[1953])).
% 0.67/0.76 tff(1955,plain,
% 0.67/0.76 (((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(norwegian)) | drives(norwegian, jaguar) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, saab) | drives(norwegian, masserati))) <=> ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(norwegian, masserati) | (~person(norwegian)) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar))),
% 0.67/0.76 inference(transitivity,[status(thm)],[1954, 1952])).
% 0.67/0.76 tff(1956,plain,
% 0.67/0.76 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | ((~person(norwegian)) | drives(norwegian, jaguar) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, saab) | drives(norwegian, masserati))),
% 0.67/0.76 inference(quant_inst,[status(thm)],[])).
% 0.67/0.76 tff(1957,plain,
% 0.67/0.76 ((~![Person: $i] : ((~person(Person)) | drives(Person, jaguar) | drives(Person, honda) | drives(Person, porsche) | drives(Person, saab) | drives(Person, masserati))) | drives(norwegian, masserati) | (~person(norwegian)) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar)),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 0.67/0.76 tff(1958,plain,
% 0.67/0.76 (drives(norwegian, masserati) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche) | drives(norwegian, jaguar)),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1957, 1729, 607])).
% 0.67/0.76 tff(1959,plain,
% 0.67/0.76 (drives(norwegian, masserati) | drives(norwegian, saab) | drives(norwegian, honda) | drives(norwegian, porsche)),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1958, 1951])).
% 0.67/0.76 tff(1960,plain,
% 0.67/0.76 (drives(norwegian, masserati)),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1959, 1934, 1909, 1907])).
% 0.67/0.76 tff(1961,plain,
% 0.67/0.76 ((~left_of(house_1, house_1)) <=> (~left_of(house_1, house_1))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1962,axiom,(~left_of(house_1, house_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_1_not_left_of_house_1')).
% 0.67/0.76 tff(1963,plain,
% 0.67/0.76 (~left_of(house_1, house_1)),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 0.67/0.76 tff(1964,plain,
% 0.67/0.76 (^[Y: $i, X: $i] : refl(((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X)) <=> ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X)))),
% 0.67/0.76 inference(bind,[status(th)],[])).
% 0.67/0.76 tff(1965,plain,
% 0.67/0.76 (![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X)) <=> ![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(quant_intro,[status(thm)],[1964])).
% 0.67/0.76 tff(1966,plain,
% 0.67/0.76 (![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X)) <=> ![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1967,plain,
% 0.67/0.76 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((left_of(X, Y) | (~next_to(X, Y))) <=> ((~next_to(X, Y)) | left_of(X, Y))), (((left_of(X, Y) | (~next_to(X, Y))) | left_of(Y, X)) <=> (((~next_to(X, Y)) | left_of(X, Y)) | left_of(Y, X)))), rewrite((((~next_to(X, Y)) | left_of(X, Y)) | left_of(Y, X)) <=> ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))), (((left_of(X, Y) | (~next_to(X, Y))) | left_of(Y, X)) <=> ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))))),
% 0.67/0.76 inference(bind,[status(th)],[])).
% 0.67/0.76 tff(1968,plain,
% 0.67/0.76 (![Y: $i, X: $i] : ((left_of(X, Y) | (~next_to(X, Y))) | left_of(Y, X)) <=> ![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(quant_intro,[status(thm)],[1967])).
% 0.67/0.76 tff(1969,axiom,(![Y: $i, X: $i] : ((left_of(X, Y) | (~next_to(X, Y))) | left_of(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','next_to_means_left_or_right')).
% 0.67/0.76 tff(1970,plain,
% 0.67/0.76 (![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 0.67/0.76 tff(1971,plain,
% 0.67/0.76 (![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1970, 1966])).
% 0.67/0.76 tff(1972,plain,(
% 0.67/0.76 ![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(skolemize,[status(sab)],[1971])).
% 0.67/0.76 tff(1973,plain,
% 0.67/0.76 (![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1972, 1965])).
% 0.67/0.76 tff(1974,plain,
% 0.67/0.76 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_1, house_1) | (~next_to(house_1, house_1)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_1, house_1) | (~next_to(house_1, house_1)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1975,plain,
% 0.67/0.76 (((~next_to(house_1, house_1)) | left_of(house_1, house_1) | left_of(house_1, house_1)) <=> (left_of(house_1, house_1) | (~next_to(house_1, house_1)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1976,plain,
% 0.67/0.76 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_1)) | left_of(house_1, house_1) | left_of(house_1, house_1))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_1, house_1) | (~next_to(house_1, house_1))))),
% 0.67/0.76 inference(monotonicity,[status(thm)],[1975])).
% 0.67/0.76 tff(1977,plain,
% 0.67/0.76 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_1)) | left_of(house_1, house_1) | left_of(house_1, house_1))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_1, house_1) | (~next_to(house_1, house_1)))),
% 0.67/0.76 inference(transitivity,[status(thm)],[1976, 1974])).
% 0.67/0.76 tff(1978,plain,
% 0.67/0.76 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_1)) | left_of(house_1, house_1) | left_of(house_1, house_1))),
% 0.67/0.76 inference(quant_inst,[status(thm)],[])).
% 0.67/0.76 tff(1979,plain,
% 0.67/0.76 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_1, house_1) | (~next_to(house_1, house_1))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1978, 1977])).
% 0.67/0.76 tff(1980,plain,
% 0.67/0.76 (~next_to(house_1, house_1)),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1979, 1973, 1963])).
% 0.67/0.76 tff(1981,plain,
% 0.67/0.76 (^[Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : refl(((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))))),
% 0.67/0.76 inference(bind,[status(th)],[])).
% 0.67/0.76 tff(1982,plain,
% 0.67/0.76 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) <=> ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(quant_intro,[status(thm)],[1981])).
% 0.67/0.76 tff(1983,plain,
% 0.67/0.76 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) <=> ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1984,plain,
% 0.67/0.76 (^[Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((next_to(House_1, House_2) | (~person(Person_1))) <=> ((~person(Person_1)) | next_to(House_1, House_2))), (((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) <=> (((~person(Person_1)) | next_to(House_1, House_2)) | (~drives(Person_1, masserati))))), rewrite((((~person(Person_1)) | next_to(House_1, House_2)) | (~drives(Person_1, masserati))) <=> ((~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2))), (((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) <=> ((~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)))), ((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) <=> (((~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)) | (~house(House_1))))), rewrite((((~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)) | (~house(House_1))) <=> ((~house(House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2))), ((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) <=> ((~house(House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)))), (((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) <=> (((~house(House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)) | (~lives(Person_1, House_1))))), rewrite((((~house(House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)) | (~lives(Person_1, House_1))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2))), (((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)))), ((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)) | (~person(Person_2))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | next_to(House_1, House_2)) | (~person(Person_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2))), ((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2)))), (((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2)) | (~owns(Person_2, horse))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2)) | (~owns(Person_2, horse))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))), (((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))))), ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) | (~house(House_2))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) | (~house(House_2))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) | (~house(House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))), ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) | (~house(House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))))), (((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) | (~house(House_2))) | (~lives(Person_2, House_2))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) | (~lives(Person_2, House_2))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse))) | (~lives(Person_2, House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))), (((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) | (~house(House_2))) | (~lives(Person_2, House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))))),
% 0.67/0.76 inference(bind,[status(th)],[])).
% 0.67/0.76 tff(1985,plain,
% 0.67/0.76 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) | (~house(House_2))) | (~lives(Person_2, House_2))) <=> ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(quant_intro,[status(thm)],[1984])).
% 0.67/0.76 tff(1986,axiom,(![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~drives(Person_1, masserati))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~owns(Person_2, horse))) | (~house(House_2))) | (~lives(Person_2, House_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','masserati_next_to_horse')).
% 0.67/0.76 tff(1987,plain,
% 0.67/0.76 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1986, 1985])).
% 0.67/0.76 tff(1988,plain,
% 0.67/0.76 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1987, 1983])).
% 0.67/0.76 tff(1989,plain,(
% 0.67/0.76 ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(skolemize,[status(sab)],[1988])).
% 0.67/0.76 tff(1990,plain,
% 0.67/0.76 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1989, 1982])).
% 0.67/0.76 tff(1991,plain,
% 0.67/0.76 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1992,plain,
% 0.67/0.76 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse))) <=> ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))),
% 0.67/0.76 inference(rewrite,[status(thm)],[])).
% 0.67/0.76 tff(1993,plain,
% 0.67/0.76 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse))))),
% 0.67/0.76 inference(monotonicity,[status(thm)],[1992])).
% 0.67/0.76 tff(1994,plain,
% 0.67/0.76 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))),
% 0.67/0.76 inference(transitivity,[status(thm)],[1993, 1991])).
% 0.67/0.76 tff(1995,plain,
% 0.67/0.76 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse)))),
% 0.67/0.76 inference(quant_inst,[status(thm)],[])).
% 0.67/0.76 tff(1996,plain,
% 0.67/0.76 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | next_to(house_1, house_1) | (~owns(norwegian, horse))),
% 0.67/0.76 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 0.67/0.76 tff(1997,plain,
% 0.67/0.76 ((~drives(norwegian, masserati)) | next_to(house_1, house_1) | (~owns(norwegian, horse))),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1996, 607, 63, 154, 1990])).
% 0.67/0.76 tff(1998,plain,
% 0.67/0.76 ((~drives(norwegian, masserati)) | (~owns(norwegian, horse))),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1997, 1980])).
% 0.67/0.76 tff(1999,plain,
% 0.67/0.76 (~owns(norwegian, horse)),
% 0.67/0.76 inference(unit_resolution,[status(thm)],[1998, 1960])).
% 0.67/0.76 tff(2000,plain,
% 0.67/0.76 (((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(ukranian)) | owns(ukranian, snails) | (~drives(ukranian, porsche)))) <=> ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | (~person(ukranian)) | owns(ukranian, snails) | (~drives(ukranian, porsche)))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2001,plain,
% 0.67/0.77 ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(ukranian)) | owns(ukranian, snails) | (~drives(ukranian, porsche)))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2002,plain,
% 0.67/0.77 ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | (~person(ukranian)) | owns(ukranian, snails) | (~drives(ukranian, porsche))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2001, 2000])).
% 0.67/0.77 tff(2003,plain,
% 0.67/0.77 (owns(ukranian, snails) | (~drives(ukranian, porsche))),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2002, 1280, 1691])).
% 0.67/0.77 tff(2004,plain,
% 0.67/0.77 (owns(ukranian, snails)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2003, 1919])).
% 0.67/0.77 tff(2005,plain,
% 0.67/0.77 (((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(snails)) | (~owns(norwegian, snails)) | (~owns(ukranian, snails)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(snails)) | (~owns(norwegian, snails)) | (~owns(ukranian, snails)))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2006,plain,
% 0.67/0.77 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | ((~animal(snails)) | (~owns(norwegian, snails)) | (~owns(ukranian, snails)))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2007,plain,
% 0.67/0.77 ((~![H: $i] : ((~animal(H)) | (~owns(norwegian, H)) | (~owns(ukranian, H)))) | (~animal(snails)) | (~owns(norwegian, snails)) | (~owns(ukranian, snails))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 0.67/0.77 tff(2008,plain,
% 0.67/0.77 ((~owns(norwegian, snails)) | (~owns(ukranian, snails))),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2007, 1499, 1289])).
% 0.67/0.77 tff(2009,plain,
% 0.67/0.77 (~owns(norwegian, snails)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2008, 2004])).
% 0.67/0.77 tff(2010,plain,
% 0.67/0.77 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_3)) | left_of(house_1, house_3) | left_of(house_3, house_1))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (~next_to(house_1, house_3)) | left_of(house_1, house_3) | left_of(house_3, house_1))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2011,plain,
% 0.67/0.77 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_3)) | left_of(house_1, house_3) | left_of(house_3, house_1))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2012,plain,
% 0.67/0.77 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (~next_to(house_1, house_3)) | left_of(house_1, house_3) | left_of(house_3, house_1)),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2011, 2010])).
% 0.67/0.77 tff(2013,plain,
% 0.67/0.77 (~next_to(house_1, house_3)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2012, 1973, 436, 413])).
% 0.67/0.77 tff(2014,plain,
% 0.67/0.77 (((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(english)) | drinks(english, orange) | (~drives(english, honda)))) <=> ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (~person(english)) | drinks(english, orange) | (~drives(english, honda)))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2015,plain,
% 0.67/0.77 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(english)) | drinks(english, orange) | (~drives(english, honda)))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2016,plain,
% 0.67/0.77 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (~person(english)) | drinks(english, orange) | (~drives(english, honda))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 0.67/0.77 tff(2017,plain,
% 0.67/0.77 (drinks(english, orange) | (~drives(english, honda))),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2016, 35, 1160])).
% 0.67/0.77 tff(2018,plain,
% 0.67/0.77 (drinks(english, orange)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2017, 1908])).
% 0.67/0.77 tff(2019,plain,
% 0.67/0.77 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(english, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(english, orange)))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2020,plain,
% 0.67/0.77 (((~drinks(english, orange)) | (~drink(orange)) | (~drinks(japanese, orange))) <=> ((~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(english, orange)))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2021,plain,
% 0.67/0.77 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(japanese, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(english, orange))))),
% 0.67/0.77 inference(monotonicity,[status(thm)],[2020])).
% 0.67/0.77 tff(2022,plain,
% 0.67/0.77 (((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(japanese, orange)))) <=> ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(english, orange)))),
% 0.67/0.77 inference(transitivity,[status(thm)],[2021, 2019])).
% 0.67/0.77 tff(2023,plain,
% 0.67/0.77 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | ((~drinks(english, orange)) | (~drink(orange)) | (~drinks(japanese, orange)))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2024,plain,
% 0.67/0.77 ((~![H: $i] : ((~drinks(english, H)) | (~drink(H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(english, orange))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 0.67/0.77 tff(2025,plain,
% 0.67/0.77 ((~drinks(japanese, orange)) | (~drinks(english, orange))),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2024, 807, 749])).
% 0.67/0.77 tff(2026,plain,
% 0.67/0.77 (~drinks(japanese, orange)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2025, 2018])).
% 0.67/0.77 tff(2027,plain,
% 0.67/0.77 (~drinks(norwegian, orange)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[766, 2018])).
% 0.67/0.77 tff(2028,plain,
% 0.67/0.77 (drinks(norwegian, water)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[699, 2027, 615])).
% 0.67/0.77 tff(2029,plain,
% 0.67/0.77 (~drinks(japanese, water)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[871, 2028])).
% 0.67/0.77 tff(2030,plain,
% 0.67/0.77 (drinks(japanese, coffee)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[843, 2029, 772, 2026])).
% 0.67/0.77 tff(2031,plain,
% 0.67/0.77 (~drinks(spaniard, coffee)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[1247, 2030])).
% 0.67/0.77 tff(2032,plain,
% 0.67/0.77 (drinks(spaniard, milk)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[1239, 2031, 1150, 1201])).
% 0.67/0.77 tff(2033,plain,
% 0.67/0.77 (lives(spaniard, house_3)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[1213, 2032])).
% 0.67/0.77 tff(2034,plain,
% 0.67/0.77 (^[Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : refl(((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))),
% 0.67/0.77 inference(bind,[status(th)],[])).
% 0.67/0.77 tff(2035,plain,
% 0.67/0.77 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) <=> ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(quant_intro,[status(thm)],[2034])).
% 0.67/0.77 tff(2036,plain,
% 0.67/0.77 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) <=> ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2037,plain,
% 0.67/0.77 (^[Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((next_to(House_1, House_2) | (~person(Person_1))) <=> ((~person(Person_1)) | next_to(House_1, House_2))), (((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) <=> (((~person(Person_1)) | next_to(House_1, House_2)) | (~owns(Person_1, fox))))), rewrite((((~person(Person_1)) | next_to(House_1, House_2)) | (~owns(Person_1, fox))) <=> ((~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), (((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) <=> ((~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))), ((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) <=> (((~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~house(House_1))))), rewrite((((~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~house(House_1))) <=> ((~house(House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), ((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) <=> ((~house(House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))), (((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) <=> (((~house(House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~lives(Person_1, House_1))))), rewrite((((~house(House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~lives(Person_1, House_1))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), (((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))), ((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~person(Person_2))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~person(Person_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), ((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))), (((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~drives(Person_2, saab))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~drives(Person_2, saab))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), (((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))), ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) | (~house(House_2))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~house(House_2))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~house(House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) | (~house(House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)))), (((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) | (~house(House_2))) | (~lives(Person_2, House_2))) <=> (((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~lives(Person_2, House_2))))), rewrite((((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2)) | (~lives(Person_2, House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))), (((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) | (~house(House_2))) | (~lives(Person_2, House_2))) <=> ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))))),
% 0.67/0.77 inference(bind,[status(th)],[])).
% 0.67/0.77 tff(2038,plain,
% 0.67/0.77 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) | (~house(House_2))) | (~lives(Person_2, House_2))) <=> ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(quant_intro,[status(thm)],[2037])).
% 0.67/0.77 tff(2039,axiom,(![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((((((((next_to(House_1, House_2) | (~person(Person_1))) | (~owns(Person_1, fox))) | (~house(House_1))) | (~lives(Person_1, House_1))) | (~person(Person_2))) | (~drives(Person_2, saab))) | (~house(House_2))) | (~lives(Person_2, House_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','saab_with_fox')).
% 0.67/0.77 tff(2040,plain,
% 0.67/0.77 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 0.67/0.77 tff(2041,plain,
% 0.67/0.77 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2040, 2036])).
% 0.67/0.77 tff(2042,plain,(
% 0.67/0.77 ![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(skolemize,[status(sab)],[2041])).
% 0.67/0.77 tff(2043,plain,
% 0.67/0.77 (![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2042, 2035])).
% 0.67/0.77 tff(2044,plain,
% 0.67/0.77 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~drives(spaniard, saab)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~drives(spaniard, saab)) | next_to(house_1, house_3))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2045,plain,
% 0.67/0.77 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_3)) <=> ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~drives(spaniard, saab)) | next_to(house_1, house_3))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2046,plain,
% 0.67/0.77 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~drives(spaniard, saab)) | next_to(house_1, house_3)))),
% 0.67/0.77 inference(monotonicity,[status(thm)],[2045])).
% 0.67/0.77 tff(2047,plain,
% 0.67/0.77 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~drives(spaniard, saab)) | next_to(house_1, house_3))),
% 0.67/0.77 inference(transitivity,[status(thm)],[2046, 2044])).
% 0.67/0.77 tff(2048,plain,
% 0.67/0.77 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_3))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2049,plain,
% 0.67/0.77 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~drives(spaniard, saab)) | next_to(house_1, house_3)),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 0.67/0.77 tff(2050,plain,
% 0.67/0.77 (~owns(norwegian, fox)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2049, 1063, 607, 63, 14, 154, 2043, 2033, 1889, 2013])).
% 0.67/0.77 tff(2051,plain,
% 0.67/0.77 (owns(norwegian, zebra)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[1485, 2050, 2009, 1999])).
% 0.67/0.77 tff(2052,plain,
% 0.67/0.77 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_5)) | left_of(house_1, house_5) | left_of(house_5, house_1))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (~next_to(house_1, house_5)) | left_of(house_1, house_5) | left_of(house_5, house_1))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2053,plain,
% 0.67/0.77 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_5)) | left_of(house_1, house_5) | left_of(house_5, house_1))),
% 0.67/0.77 inference(quant_inst,[status(thm)],[])).
% 0.67/0.77 tff(2054,plain,
% 0.67/0.77 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (~next_to(house_1, house_5)) | left_of(house_1, house_5) | left_of(house_5, house_1)),
% 0.67/0.77 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 0.67/0.77 tff(2055,plain,
% 0.67/0.77 (~next_to(house_1, house_5)),
% 0.67/0.77 inference(unit_resolution,[status(thm)],[2054, 1973, 47, 541])).
% 0.67/0.77 tff(2056,plain,
% 0.67/0.77 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~owns(english, horse)) | next_to(house_1, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~owns(english, horse)) | next_to(house_1, house_5))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2057,plain,
% 0.67/0.77 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_5)) | (~house(house_5)) | (~person(english)) | next_to(house_1, house_5) | (~owns(english, horse))) <=> ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~owns(english, horse)) | next_to(house_1, house_5))),
% 0.67/0.77 inference(rewrite,[status(thm)],[])).
% 0.67/0.77 tff(2058,plain,
% 0.67/0.77 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_5)) | (~house(house_5)) | (~person(english)) | next_to(house_1, house_5) | (~owns(english, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~owns(english, horse)) | next_to(house_1, house_5)))),
% 0.67/0.77 inference(monotonicity,[status(thm)],[2057])).
% 0.67/0.77 tff(2059,plain,
% 0.67/0.77 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_5)) | (~house(house_5)) | (~person(english)) | next_to(house_1, house_5) | (~owns(english, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~owns(english, horse)) | next_to(house_1, house_5))),
% 0.67/0.77 inference(transitivity,[status(thm)],[2058, 2056])).
% 0.67/0.77 tff(2060,plain,
% 0.67/0.77 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_5)) | (~house(house_5)) | (~person(english)) | next_to(house_1, house_5) | (~owns(english, horse)))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2061,plain,
% 0.67/0.78 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~lives(english, house_5)) | (~house(house_5)) | (~owns(english, horse)) | next_to(house_1, house_5)),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 0.67/0.78 tff(2062,plain,
% 0.67/0.78 ((~drives(norwegian, masserati)) | (~owns(english, horse))),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2061, 35, 607, 63, 60, 154, 1990, 1888, 2055])).
% 0.67/0.78 tff(2063,plain,
% 0.67/0.78 (~owns(english, horse)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2062, 1960])).
% 0.67/0.78 tff(2064,plain,
% 0.67/0.78 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(ukranian, snails)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(ukranian, snails)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2065,plain,
% 0.67/0.78 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(ukranian, snails)))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2066,plain,
% 0.67/0.78 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(ukranian, H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(ukranian, snails))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 0.67/0.78 tff(2067,plain,
% 0.67/0.78 ((~owns(english, snails)) | (~owns(ukranian, snails))),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2066, 1382, 1289])).
% 0.67/0.78 tff(2068,plain,
% 0.67/0.78 (~owns(english, snails)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2067, 2004])).
% 0.67/0.78 tff(2069,plain,
% 0.67/0.78 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_5, house_3) | left_of(house_3, house_5) | (~next_to(house_5, house_3)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_3) | left_of(house_3, house_5) | (~next_to(house_5, house_3)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2070,plain,
% 0.67/0.78 (((~next_to(house_5, house_3)) | left_of(house_5, house_3) | left_of(house_3, house_5)) <=> (left_of(house_5, house_3) | left_of(house_3, house_5) | (~next_to(house_5, house_3)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2071,plain,
% 0.67/0.78 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_3)) | left_of(house_5, house_3) | left_of(house_3, house_5))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_5, house_3) | left_of(house_3, house_5) | (~next_to(house_5, house_3))))),
% 0.67/0.78 inference(monotonicity,[status(thm)],[2070])).
% 0.67/0.78 tff(2072,plain,
% 0.67/0.78 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_3)) | left_of(house_5, house_3) | left_of(house_3, house_5))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_3) | left_of(house_3, house_5) | (~next_to(house_5, house_3)))),
% 0.67/0.78 inference(transitivity,[status(thm)],[2071, 2069])).
% 0.67/0.78 tff(2073,plain,
% 0.67/0.78 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_3)) | left_of(house_5, house_3) | left_of(house_3, house_5))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2074,plain,
% 0.67/0.78 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_3) | left_of(house_3, house_5) | (~next_to(house_5, house_3))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 0.67/0.78 tff(2075,plain,
% 0.67/0.78 (~next_to(house_5, house_3)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2074, 1973, 284, 351])).
% 0.67/0.78 tff(2076,plain,
% 0.67/0.78 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~person(english)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~lives(english, house_5)) | (~house(house_5)) | (~drives(spaniard, saab)) | (~owns(english, fox)) | next_to(house_5, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~person(english)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~lives(english, house_5)) | (~house(house_5)) | (~drives(spaniard, saab)) | (~owns(english, fox)) | next_to(house_5, house_3))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2077,plain,
% 0.67/0.78 (((~house(house_5)) | (~lives(english, house_5)) | (~person(english)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(english, fox)) | next_to(house_5, house_3)) <=> ((~person(english)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~lives(english, house_5)) | (~house(house_5)) | (~drives(spaniard, saab)) | (~owns(english, fox)) | next_to(house_5, house_3))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2078,plain,
% 0.67/0.78 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(english, house_5)) | (~person(english)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(english, fox)) | next_to(house_5, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~person(english)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~lives(english, house_5)) | (~house(house_5)) | (~drives(spaniard, saab)) | (~owns(english, fox)) | next_to(house_5, house_3)))),
% 0.67/0.78 inference(monotonicity,[status(thm)],[2077])).
% 0.67/0.78 tff(2079,plain,
% 0.67/0.78 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(english, house_5)) | (~person(english)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(english, fox)) | next_to(house_5, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~person(english)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~lives(english, house_5)) | (~house(house_5)) | (~drives(spaniard, saab)) | (~owns(english, fox)) | next_to(house_5, house_3))),
% 0.67/0.78 inference(transitivity,[status(thm)],[2078, 2076])).
% 0.67/0.78 tff(2080,plain,
% 0.67/0.78 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(english, house_5)) | (~person(english)) | (~lives(spaniard, house_3)) | (~house(house_3)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(english, fox)) | next_to(house_5, house_3))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2081,plain,
% 0.67/0.78 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~person(english)) | (~person(spaniard)) | (~house(house_3)) | (~lives(spaniard, house_3)) | (~lives(english, house_5)) | (~house(house_5)) | (~drives(spaniard, saab)) | (~owns(english, fox)) | next_to(house_5, house_3)),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 0.67/0.78 tff(2082,plain,
% 0.67/0.78 (~owns(english, fox)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2081, 35, 1063, 14, 60, 2043, 1888, 2033, 1889, 2075])).
% 0.67/0.78 tff(2083,plain,
% 0.67/0.78 (owns(english, zebra)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1534, 2082, 2068, 2063])).
% 0.67/0.78 tff(2084,plain,
% 0.67/0.78 ($false),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1542, 2083, 2051])).
% 0.67/0.78 tff(2085,plain,((~drives(english, honda)) | (~lives(english, house_5)) | (~drives(spaniard, saab)) | drinks(spaniard, orange) | drinks(spaniard, water) | drinks(japanese, milk) | drives(ukranian, masserati)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.78 tff(2086,plain,
% 0.67/0.78 (drinks(japanese, milk)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2085, 1866, 1888, 1150, 1201, 1739, 1761])).
% 0.67/0.78 tff(2087,plain,
% 0.67/0.78 (lives(japanese, house_3)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[918, 2086])).
% 0.67/0.78 tff(2088,plain,
% 0.67/0.78 (~lives(spaniard, house_5)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1045, 1888])).
% 0.67/0.78 tff(2089,assumption,(~is_color(house_2, green)), introduced(assumption)).
% 0.67/0.78 tff(2090,assumption,(drinks(japanese, milk)), introduced(assumption)).
% 0.67/0.78 tff(2091,plain,
% 0.67/0.78 (~drinks(spaniard, milk)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1272, 2090])).
% 0.67/0.78 tff(2092,plain,
% 0.67/0.78 (drinks(spaniard, coffee)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1239, 2091, 1150, 1201])).
% 0.67/0.78 tff(2093,assumption,(~lives(spaniard, house_4)), introduced(assumption)).
% 0.67/0.78 tff(2094,plain,
% 0.67/0.78 (lives(japanese, house_3)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[918, 2090])).
% 0.67/0.78 tff(2095,plain,
% 0.67/0.78 (^[H: $i] : refl(((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H))) <=> ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H))))),
% 0.67/0.78 inference(bind,[status(th)],[])).
% 0.67/0.78 tff(2096,plain,
% 0.67/0.78 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(quant_intro,[status(thm)],[2095])).
% 0.67/0.78 tff(2097,plain,
% 0.67/0.78 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2098,plain,
% 0.67/0.78 (^[H: $i] : rewrite((((~house(H)) | (~lives(spaniard, H))) | (~lives(japanese, H))) <=> ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H))))),
% 0.67/0.78 inference(bind,[status(th)],[])).
% 0.67/0.78 tff(2099,plain,
% 0.67/0.78 (![H: $i] : (((~house(H)) | (~lives(spaniard, H))) | (~lives(japanese, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(quant_intro,[status(thm)],[2098])).
% 0.67/0.78 tff(2100,axiom,(![H: $i] : (((~house(H)) | (~lives(spaniard, H))) | (~lives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_japanese_live_apart')).
% 0.67/0.78 tff(2101,plain,
% 0.67/0.78 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 0.67/0.78 tff(2102,plain,
% 0.67/0.78 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2101, 2097])).
% 0.67/0.78 tff(2103,plain,(
% 0.67/0.78 ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(skolemize,[status(sab)],[2102])).
% 0.67/0.78 tff(2104,plain,
% 0.67/0.78 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2103, 2096])).
% 0.67/0.78 tff(2105,plain,
% 0.67/0.78 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~house(house_3)) | (~lives(japanese, house_3)) | (~lives(spaniard, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | (~house(house_3)) | (~lives(japanese, house_3)) | (~lives(spaniard, house_3)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2106,plain,
% 0.67/0.78 (((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(japanese, house_3))) <=> ((~house(house_3)) | (~lives(japanese, house_3)) | (~lives(spaniard, house_3)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2107,plain,
% 0.67/0.78 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(japanese, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~house(house_3)) | (~lives(japanese, house_3)) | (~lives(spaniard, house_3))))),
% 0.67/0.78 inference(monotonicity,[status(thm)],[2106])).
% 0.67/0.78 tff(2108,plain,
% 0.67/0.78 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(japanese, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | (~house(house_3)) | (~lives(japanese, house_3)) | (~lives(spaniard, house_3)))),
% 0.67/0.78 inference(transitivity,[status(thm)],[2107, 2105])).
% 0.67/0.78 tff(2109,plain,
% 0.67/0.78 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(japanese, house_3)))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2110,plain,
% 0.67/0.78 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | (~house(house_3)) | (~lives(japanese, house_3)) | (~lives(spaniard, house_3))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 0.67/0.78 tff(2111,plain,
% 0.67/0.78 ((~lives(japanese, house_3)) | (~lives(spaniard, house_3))),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2110, 2104, 14])).
% 0.67/0.78 tff(2112,plain,
% 0.67/0.78 (~lives(spaniard, house_3)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2111, 2094])).
% 0.67/0.78 tff(2113,plain,
% 0.67/0.78 (lives(spaniard, house_2)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1108, 2112, 1073, 2093])).
% 0.67/0.78 tff(2114,plain,
% 0.67/0.78 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~person(spaniard)) | (~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~drinks(spaniard, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~person(spaniard)) | (~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~drinks(spaniard, coffee)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2115,plain,
% 0.67/0.78 (((~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~person(spaniard)) | (~drinks(spaniard, coffee))) <=> ((~person(spaniard)) | (~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~drinks(spaniard, coffee)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2116,plain,
% 0.67/0.78 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~person(spaniard)) | (~drinks(spaniard, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~person(spaniard)) | (~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~drinks(spaniard, coffee))))),
% 0.67/0.78 inference(monotonicity,[status(thm)],[2115])).
% 0.67/0.78 tff(2117,plain,
% 0.67/0.78 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~person(spaniard)) | (~drinks(spaniard, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~person(spaniard)) | (~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~drinks(spaniard, coffee)))),
% 0.67/0.78 inference(transitivity,[status(thm)],[2116, 2114])).
% 0.67/0.78 tff(2118,plain,
% 0.67/0.78 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~person(spaniard)) | (~drinks(spaniard, coffee)))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2119,plain,
% 0.67/0.78 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~person(spaniard)) | (~house(house_2)) | is_color(house_2, green) | (~lives(spaniard, house_2)) | (~drinks(spaniard, coffee))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2118, 2117])).
% 0.67/0.78 tff(2120,plain,
% 0.67/0.78 ($false),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2119, 1063, 146, 577, 2113, 2092, 2089])).
% 0.67/0.78 tff(2121,plain,((~drinks(japanese, milk)) | is_color(house_2, green) | lives(spaniard, house_5) | lives(spaniard, house_4) | drinks(spaniard, orange) | drinks(spaniard, water)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.78 tff(2122,plain,
% 0.67/0.78 (lives(spaniard, house_4)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2121, 2086, 2089, 2088, 1201, 1150])).
% 0.67/0.78 tff(2123,assumption,(~drives(ukranian, honda)), introduced(assumption)).
% 0.67/0.78 tff(2124,plain,
% 0.67/0.78 (drives(ukranian, porsche)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1786, 1910, 1761, 2123])).
% 0.67/0.78 tff(2125,plain,
% 0.67/0.78 (owns(ukranian, snails)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2003, 2124])).
% 0.67/0.78 tff(2126,plain,
% 0.67/0.78 (((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(snails)) | (~owns(ukranian, snails)) | (~owns(japanese, snails)))) <=> ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~animal(snails)) | (~owns(ukranian, snails)) | (~owns(japanese, snails)))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2127,plain,
% 0.67/0.78 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | ((~animal(snails)) | (~owns(ukranian, snails)) | (~owns(japanese, snails)))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2128,plain,
% 0.67/0.78 ((~![H: $i] : ((~animal(H)) | (~owns(ukranian, H)) | (~owns(japanese, H)))) | (~animal(snails)) | (~owns(ukranian, snails)) | (~owns(japanese, snails))),
% 0.67/0.78 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 0.67/0.78 tff(2129,plain,
% 0.67/0.78 ((~owns(ukranian, snails)) | (~owns(japanese, snails))),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2128, 1450, 1289])).
% 0.67/0.78 tff(2130,plain,
% 0.67/0.78 (~owns(japanese, snails)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[2129, 2125])).
% 0.67/0.78 tff(2131,assumption,(~drives(norwegian, honda)), introduced(assumption)).
% 0.67/0.78 tff(2132,plain,
% 0.67/0.78 (~drives(norwegian, porsche)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1933, 2124])).
% 0.67/0.78 tff(2133,plain,
% 0.67/0.78 (drives(norwegian, masserati)),
% 0.67/0.78 inference(unit_resolution,[status(thm)],[1959, 2132, 2131, 1907])).
% 0.67/0.78 tff(2134,assumption,(lives(japanese, house_3)), introduced(assumption)).
% 0.67/0.78 tff(2135,plain,
% 0.67/0.78 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_3)) | (~lives(japanese, house_3)) | (~owns(japanese, horse)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_3)) | (~lives(japanese, house_3)) | (~owns(japanese, horse)) | next_to(house_1, house_3))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2136,plain,
% 0.67/0.78 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_3)) | (~house(house_3)) | (~person(japanese)) | next_to(house_1, house_3) | (~owns(japanese, horse))) <=> ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_3)) | (~lives(japanese, house_3)) | (~owns(japanese, horse)) | next_to(house_1, house_3))),
% 0.67/0.78 inference(rewrite,[status(thm)],[])).
% 0.67/0.78 tff(2137,plain,
% 0.67/0.78 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_3)) | (~house(house_3)) | (~person(japanese)) | next_to(house_1, house_3) | (~owns(japanese, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_3)) | (~lives(japanese, house_3)) | (~owns(japanese, horse)) | next_to(house_1, house_3)))),
% 0.67/0.78 inference(monotonicity,[status(thm)],[2136])).
% 0.67/0.78 tff(2138,plain,
% 0.67/0.78 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_3)) | (~house(house_3)) | (~person(japanese)) | next_to(house_1, house_3) | (~owns(japanese, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_3)) | (~lives(japanese, house_3)) | (~owns(japanese, horse)) | next_to(house_1, house_3))),
% 0.67/0.78 inference(transitivity,[status(thm)],[2137, 2135])).
% 0.67/0.78 tff(2139,plain,
% 0.67/0.78 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_3)) | (~house(house_3)) | (~person(japanese)) | next_to(house_1, house_3) | (~owns(japanese, horse)))),
% 0.67/0.78 inference(quant_inst,[status(thm)],[])).
% 0.67/0.78 tff(2140,plain,
% 0.67/0.78 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_3)) | (~lives(japanese, house_3)) | (~owns(japanese, horse)) | next_to(house_1, house_3)),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2139, 2138])).
% 0.67/0.79 tff(2141,plain,
% 0.67/0.79 ((~drives(norwegian, masserati)) | (~owns(japanese, horse))),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2140, 607, 835, 63, 14, 154, 1990, 2134, 2013])).
% 0.67/0.79 tff(2142,plain,
% 0.67/0.79 (~owns(japanese, horse)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2141, 2133])).
% 0.67/0.79 tff(2143,plain,
% 0.67/0.79 (~owns(norwegian, snails)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2008, 2125])).
% 0.67/0.79 tff(2144,plain,
% 0.67/0.79 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_4)) | left_of(house_1, house_4) | left_of(house_4, house_1))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (~next_to(house_1, house_4)) | left_of(house_1, house_4) | left_of(house_4, house_1))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2145,plain,
% 0.67/0.79 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_1, house_4)) | left_of(house_1, house_4) | left_of(house_4, house_1))),
% 0.67/0.79 inference(quant_inst,[status(thm)],[])).
% 0.67/0.79 tff(2146,plain,
% 0.67/0.79 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (~next_to(house_1, house_4)) | left_of(house_1, house_4) | left_of(house_4, house_1)),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 0.67/0.79 tff(2147,plain,
% 0.67/0.79 (~next_to(house_1, house_4)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2146, 1973, 372, 992])).
% 0.67/0.79 tff(2148,assumption,(lives(spaniard, house_4)), introduced(assumption)).
% 0.67/0.79 tff(2149,plain,
% 0.67/0.79 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(spaniard, house_4)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_4)) | (~drives(spaniard, saab)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(spaniard, house_4)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_4)) | (~drives(spaniard, saab)) | next_to(house_1, house_4))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2150,plain,
% 0.67/0.79 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_4)) | (~house(house_4)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_4)) <=> ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(spaniard, house_4)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_4)) | (~drives(spaniard, saab)) | next_to(house_1, house_4))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2151,plain,
% 0.67/0.79 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_4)) | (~house(house_4)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(spaniard, house_4)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_4)) | (~drives(spaniard, saab)) | next_to(house_1, house_4)))),
% 0.67/0.79 inference(monotonicity,[status(thm)],[2150])).
% 0.67/0.79 tff(2152,plain,
% 0.67/0.79 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_4)) | (~house(house_4)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(spaniard, house_4)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_4)) | (~drives(spaniard, saab)) | next_to(house_1, house_4))),
% 0.67/0.79 inference(transitivity,[status(thm)],[2151, 2149])).
% 0.67/0.79 tff(2153,plain,
% 0.67/0.79 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(spaniard, house_4)) | (~house(house_4)) | (~drives(spaniard, saab)) | (~person(spaniard)) | (~owns(norwegian, fox)) | next_to(house_1, house_4))),
% 0.67/0.79 inference(quant_inst,[status(thm)],[])).
% 0.67/0.79 tff(2154,plain,
% 0.67/0.79 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(spaniard, house_4)) | (~house(house_1)) | (~person(norwegian)) | (~person(spaniard)) | (~house(house_4)) | (~drives(spaniard, saab)) | next_to(house_1, house_4)),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2153, 2152])).
% 0.67/0.79 tff(2155,plain,
% 0.67/0.79 ((~owns(norwegian, fox)) | (~drives(spaniard, saab))),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2154, 1063, 607, 63, 96, 154, 2043, 2148, 2147])).
% 0.67/0.79 tff(2156,plain,
% 0.67/0.79 (~owns(norwegian, fox)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2155, 1889])).
% 0.67/0.79 tff(2157,plain,
% 0.67/0.79 (~owns(norwegian, horse)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1998, 2133])).
% 0.67/0.79 tff(2158,plain,
% 0.67/0.79 (owns(norwegian, zebra)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1485, 2157, 2156, 2143])).
% 0.67/0.79 tff(2159,plain,
% 0.67/0.79 (~owns(japanese, zebra)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1655, 2158])).
% 0.67/0.79 tff(2160,plain,
% 0.67/0.79 (owns(japanese, fox)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1436, 2159, 2142, 2130])).
% 0.67/0.79 tff(2161,plain,
% 0.67/0.79 (~owns(english, horse)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2062, 2133])).
% 0.67/0.79 tff(2162,plain,
% 0.67/0.79 (~owns(english, snails)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2067, 2125])).
% 0.67/0.79 tff(2163,plain,
% 0.67/0.79 (~owns(english, zebra)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1542, 2158])).
% 0.67/0.79 tff(2164,plain,
% 0.67/0.79 (owns(english, fox)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1534, 2163, 2162, 2161])).
% 0.67/0.79 tff(2165,plain,
% 0.67/0.79 ($false),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[1595, 2164, 2160])).
% 0.67/0.79 tff(2166,plain,((~drives(spaniard, saab)) | (~lives(japanese, house_3)) | (~lives(english, house_5)) | drives(norwegian, honda) | drives(ukranian, masserati) | drives(ukranian, honda) | (~lives(spaniard, house_4))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.79 tff(2167,plain,
% 0.67/0.79 ($false),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2166, 2122, 2087, 1888, 1739, 1761, 1285, 1887])).
% 0.67/0.79 tff(2168,plain,(drives(ukranian, masserati) | (~lives(english, house_5)) | is_color(house_2, green) | drinks(spaniard, water) | drinks(spaniard, orange) | drives(english, masserati) | drives(spaniard, masserati)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.79 tff(2169,plain,
% 0.67/0.79 (drives(ukranian, masserati)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2168, 567, 1149, 770, 967, 1125, 1118])).
% 0.67/0.79 tff(2170,assumption,(lives(ukranian, house_4)), introduced(assumption)).
% 0.67/0.79 tff(2171,assumption,(drives(ukranian, masserati)), introduced(assumption)).
% 0.67/0.79 tff(2172,plain,
% 0.67/0.79 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(ukranian)) | (~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(ukranian)) | (~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2173,plain,
% 0.67/0.79 (((~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)) | (~person(ukranian))) <=> ((~person(ukranian)) | (~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2174,plain,
% 0.67/0.79 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)) | (~person(ukranian)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(ukranian)) | (~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati))))),
% 0.67/0.79 inference(monotonicity,[status(thm)],[2173])).
% 0.67/0.79 tff(2175,plain,
% 0.67/0.79 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)) | (~person(ukranian)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(ukranian)) | (~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)))),
% 0.67/0.79 inference(transitivity,[status(thm)],[2174, 2172])).
% 0.67/0.79 tff(2176,plain,
% 0.67/0.79 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati)) | (~person(ukranian)))),
% 0.67/0.79 inference(quant_inst,[status(thm)],[])).
% 0.67/0.79 tff(2177,plain,
% 0.67/0.79 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(ukranian)) | (~house(house_4)) | is_color(house_4, yellow) | (~lives(ukranian, house_4)) | (~drives(ukranian, masserati))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 0.67/0.79 tff(2178,plain,
% 0.67/0.79 ($false),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2177, 1280, 96, 1060, 2171, 2170, 1047])).
% 0.67/0.79 tff(2179,plain,((~lives(ukranian, house_4)) | (~drives(ukranian, masserati)) | is_color(house_4, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.79 tff(2180,plain,
% 0.67/0.79 (~lives(ukranian, house_4)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2179, 2169, 1019])).
% 0.67/0.79 tff(2181,plain,
% 0.67/0.79 (^[H: $i] : refl(((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H))) <=> ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H))))),
% 0.67/0.79 inference(bind,[status(th)],[])).
% 0.67/0.79 tff(2182,plain,
% 0.67/0.79 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(quant_intro,[status(thm)],[2181])).
% 0.67/0.79 tff(2183,plain,
% 0.67/0.79 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2184,plain,
% 0.67/0.79 (^[H: $i] : rewrite((((~house(H)) | (~lives(english, H))) | (~lives(ukranian, H))) <=> ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H))))),
% 0.67/0.79 inference(bind,[status(th)],[])).
% 0.67/0.79 tff(2185,plain,
% 0.67/0.79 (![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(ukranian, H))) <=> ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(quant_intro,[status(thm)],[2184])).
% 0.67/0.79 tff(2186,axiom,(![H: $i] : (((~house(H)) | (~lives(english, H))) | (~lives(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','english_and_ukranian_live_apart')).
% 0.67/0.79 tff(2187,plain,
% 0.67/0.79 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 0.67/0.79 tff(2188,plain,
% 0.67/0.79 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2187, 2183])).
% 0.67/0.79 tff(2189,plain,(
% 0.67/0.79 ![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(skolemize,[status(sab)],[2188])).
% 0.67/0.79 tff(2190,plain,
% 0.67/0.79 (![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2189, 2182])).
% 0.67/0.79 tff(2191,plain,
% 0.67/0.79 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(english, house_5)) | (~house(house_5)) | (~lives(ukranian, house_5)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(english, house_5)) | (~house(house_5)) | (~lives(ukranian, house_5)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2192,plain,
% 0.67/0.79 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(english, house_5)) | (~house(house_5)) | (~lives(ukranian, house_5)))),
% 0.67/0.79 inference(quant_inst,[status(thm)],[])).
% 0.67/0.79 tff(2193,plain,
% 0.67/0.79 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(english, house_5)) | (~house(house_5)) | (~lives(ukranian, house_5))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 0.67/0.79 tff(2194,plain,
% 0.67/0.79 ((~lives(english, house_5)) | (~lives(ukranian, house_5))),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2193, 2190, 60])).
% 0.67/0.79 tff(2195,plain,
% 0.67/0.79 (~lives(ukranian, house_5)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2194, 567])).
% 0.67/0.79 tff(2196,assumption,(lives(ukranian, house_2)), introduced(assumption)).
% 0.67/0.79 tff(2197,plain,
% 0.67/0.79 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | is_color(house_2, yellow) | (~drives(ukranian, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | is_color(house_2, yellow) | (~drives(ukranian, masserati)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2198,plain,
% 0.67/0.79 (((~house(house_2)) | is_color(house_2, yellow) | (~lives(ukranian, house_2)) | (~drives(ukranian, masserati)) | (~person(ukranian))) <=> ((~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | is_color(house_2, yellow) | (~drives(ukranian, masserati)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2199,plain,
% 0.67/0.79 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_2)) | is_color(house_2, yellow) | (~lives(ukranian, house_2)) | (~drives(ukranian, masserati)) | (~person(ukranian)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | is_color(house_2, yellow) | (~drives(ukranian, masserati))))),
% 0.67/0.79 inference(monotonicity,[status(thm)],[2198])).
% 0.67/0.79 tff(2200,plain,
% 0.67/0.79 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_2)) | is_color(house_2, yellow) | (~lives(ukranian, house_2)) | (~drives(ukranian, masserati)) | (~person(ukranian)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | is_color(house_2, yellow) | (~drives(ukranian, masserati)))),
% 0.67/0.79 inference(transitivity,[status(thm)],[2199, 2197])).
% 0.67/0.79 tff(2201,plain,
% 0.67/0.79 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_2)) | is_color(house_2, yellow) | (~lives(ukranian, house_2)) | (~drives(ukranian, masserati)) | (~person(ukranian)))),
% 0.67/0.79 inference(quant_inst,[status(thm)],[])).
% 0.67/0.79 tff(2202,plain,
% 0.67/0.79 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | is_color(house_2, yellow) | (~drives(ukranian, masserati))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 0.67/0.79 tff(2203,plain,
% 0.67/0.79 ($false),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2202, 1280, 146, 1060, 2196, 2171, 1074])).
% 0.67/0.79 tff(2204,plain,((~lives(ukranian, house_2)) | (~drives(ukranian, masserati)) | is_color(house_2, yellow)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.79 tff(2205,plain,
% 0.67/0.79 (~lives(ukranian, house_2)),
% 0.67/0.79 inference(unit_resolution,[status(thm)],[2204, 2169, 1027])).
% 0.67/0.79 tff(2206,plain,
% 0.67/0.79 (^[H: $i] : refl(((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H))) <=> ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H))))),
% 0.67/0.79 inference(bind,[status(th)],[])).
% 0.67/0.79 tff(2207,plain,
% 0.67/0.79 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H))) <=> ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(quant_intro,[status(thm)],[2206])).
% 0.67/0.79 tff(2208,plain,
% 0.67/0.79 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H))) <=> ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(rewrite,[status(thm)],[])).
% 0.67/0.79 tff(2209,plain,
% 0.67/0.79 (^[H: $i] : rewrite((((~house(H)) | (~lives(norwegian, H))) | (~lives(ukranian, H))) <=> ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H))))),
% 0.67/0.79 inference(bind,[status(th)],[])).
% 0.67/0.79 tff(2210,plain,
% 0.67/0.79 (![H: $i] : (((~house(H)) | (~lives(norwegian, H))) | (~lives(ukranian, H))) <=> ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(quant_intro,[status(thm)],[2209])).
% 0.67/0.79 tff(2211,axiom,(![H: $i] : (((~house(H)) | (~lives(norwegian, H))) | (~lives(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_ukranian_live_apart')).
% 0.67/0.79 tff(2212,plain,
% 0.67/0.79 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 0.67/0.79 tff(2213,plain,
% 0.67/0.79 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2212, 2208])).
% 0.67/0.79 tff(2214,plain,(
% 0.67/0.79 ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(skolemize,[status(sab)],[2213])).
% 0.67/0.79 tff(2215,plain,
% 0.67/0.79 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))),
% 0.67/0.79 inference(modus_ponens,[status(thm)],[2214, 2207])).
% 0.67/0.79 tff(2216,plain,
% 0.67/0.79 (((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_1)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))) | (~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_1)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2217,plain,
% 0.67/0.80 ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_1)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2218,plain,
% 0.67/0.80 ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(ukranian, H)))) | (~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_1))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2217, 2216])).
% 0.67/0.80 tff(2219,plain,
% 0.67/0.80 (~lives(ukranian, house_1)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2218, 2215, 63, 154])).
% 0.67/0.80 tff(2220,plain,
% 0.67/0.80 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(ukranian, house_2) | lives(ukranian, house_1) | lives(ukranian, house_3) | (~person(ukranian)) | lives(ukranian, house_5) | lives(ukranian, house_4))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(ukranian, house_2) | lives(ukranian, house_1) | lives(ukranian, house_3) | (~person(ukranian)) | lives(ukranian, house_5) | lives(ukranian, house_4))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2221,plain,
% 0.67/0.80 ((lives(ukranian, house_5) | lives(ukranian, house_4) | lives(ukranian, house_3) | lives(ukranian, house_2) | lives(ukranian, house_1) | (~person(ukranian))) <=> (lives(ukranian, house_2) | lives(ukranian, house_1) | lives(ukranian, house_3) | (~person(ukranian)) | lives(ukranian, house_5) | lives(ukranian, house_4))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2222,plain,
% 0.67/0.80 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(ukranian, house_5) | lives(ukranian, house_4) | lives(ukranian, house_3) | lives(ukranian, house_2) | lives(ukranian, house_1) | (~person(ukranian)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(ukranian, house_2) | lives(ukranian, house_1) | lives(ukranian, house_3) | (~person(ukranian)) | lives(ukranian, house_5) | lives(ukranian, house_4)))),
% 0.67/0.80 inference(monotonicity,[status(thm)],[2221])).
% 0.67/0.80 tff(2223,plain,
% 0.67/0.80 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(ukranian, house_5) | lives(ukranian, house_4) | lives(ukranian, house_3) | lives(ukranian, house_2) | lives(ukranian, house_1) | (~person(ukranian)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(ukranian, house_2) | lives(ukranian, house_1) | lives(ukranian, house_3) | (~person(ukranian)) | lives(ukranian, house_5) | lives(ukranian, house_4))),
% 0.67/0.80 inference(transitivity,[status(thm)],[2222, 2220])).
% 0.67/0.80 tff(2224,plain,
% 0.67/0.80 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(ukranian, house_5) | lives(ukranian, house_4) | lives(ukranian, house_3) | lives(ukranian, house_2) | lives(ukranian, house_1) | (~person(ukranian)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2225,plain,
% 0.67/0.80 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(ukranian, house_2) | lives(ukranian, house_1) | lives(ukranian, house_3) | (~person(ukranian)) | lives(ukranian, house_5) | lives(ukranian, house_4)),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2224, 2223])).
% 0.67/0.80 tff(2226,plain,
% 0.67/0.80 (lives(ukranian, house_2) | lives(ukranian, house_3) | lives(ukranian, house_5) | lives(ukranian, house_4)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2225, 181, 1280, 2219])).
% 0.67/0.80 tff(2227,plain,
% 0.67/0.80 (lives(ukranian, house_3)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2226, 2205, 2195, 2180])).
% 0.67/0.80 tff(2228,plain,
% 0.67/0.80 (^[H: $i] : refl(((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H))) <=> ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H))))),
% 0.67/0.80 inference(bind,[status(th)],[])).
% 0.67/0.80 tff(2229,plain,
% 0.67/0.80 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(quant_intro,[status(thm)],[2228])).
% 0.67/0.80 tff(2230,plain,
% 0.67/0.80 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2231,plain,
% 0.67/0.80 (^[H: $i] : rewrite((((~house(H)) | (~lives(spaniard, H))) | (~lives(ukranian, H))) <=> ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H))))),
% 0.67/0.80 inference(bind,[status(th)],[])).
% 0.67/0.80 tff(2232,plain,
% 0.67/0.80 (![H: $i] : (((~house(H)) | (~lives(spaniard, H))) | (~lives(ukranian, H))) <=> ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(quant_intro,[status(thm)],[2231])).
% 0.67/0.80 tff(2233,axiom,(![H: $i] : (((~house(H)) | (~lives(spaniard, H))) | (~lives(ukranian, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','spaniard_and_ukranian_live_apart')).
% 0.67/0.80 tff(2234,plain,
% 0.67/0.80 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 0.67/0.80 tff(2235,plain,
% 0.67/0.80 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2234, 2230])).
% 0.67/0.80 tff(2236,plain,(
% 0.67/0.80 ![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(skolemize,[status(sab)],[2235])).
% 0.67/0.80 tff(2237,plain,
% 0.67/0.80 (![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2236, 2229])).
% 0.67/0.80 tff(2238,plain,
% 0.67/0.80 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(spaniard, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(spaniard, house_3)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2239,plain,
% 0.67/0.80 (((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3))) <=> ((~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(spaniard, house_3)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2240,plain,
% 0.67/0.80 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(spaniard, house_3))))),
% 0.67/0.80 inference(monotonicity,[status(thm)],[2239])).
% 0.67/0.80 tff(2241,plain,
% 0.67/0.80 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(spaniard, house_3)))),
% 0.67/0.80 inference(transitivity,[status(thm)],[2240, 2238])).
% 0.67/0.80 tff(2242,plain,
% 0.67/0.80 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(spaniard, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2243,plain,
% 0.67/0.80 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(spaniard, house_3))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 0.67/0.80 tff(2244,plain,
% 0.67/0.80 ((~lives(ukranian, house_3)) | (~lives(spaniard, house_3))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2243, 2237, 14])).
% 0.67/0.80 tff(2245,plain,
% 0.67/0.80 (~lives(spaniard, house_3)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2244, 2227])).
% 0.67/0.80 tff(2246,plain,
% 0.67/0.80 (~drinks(spaniard, milk)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1213, 2245])).
% 0.67/0.80 tff(2247,plain,
% 0.67/0.80 (drinks(spaniard, coffee)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1239, 2246, 967, 770])).
% 0.67/0.80 tff(2248,plain,
% 0.67/0.80 (~drinks(japanese, coffee)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1247, 2247])).
% 0.67/0.80 tff(2249,plain,
% 0.67/0.80 (^[H: $i] : refl(((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H))) <=> ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H))))),
% 0.67/0.80 inference(bind,[status(th)],[])).
% 0.67/0.80 tff(2250,plain,
% 0.67/0.80 (![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(quant_intro,[status(thm)],[2249])).
% 0.67/0.80 tff(2251,plain,
% 0.67/0.80 (![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2252,plain,
% 0.67/0.80 (^[H: $i] : rewrite((((~house(H)) | (~lives(ukranian, H))) | (~lives(japanese, H))) <=> ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H))))),
% 0.67/0.80 inference(bind,[status(th)],[])).
% 0.67/0.80 tff(2253,plain,
% 0.67/0.80 (![H: $i] : (((~house(H)) | (~lives(ukranian, H))) | (~lives(japanese, H))) <=> ![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(quant_intro,[status(thm)],[2252])).
% 0.67/0.80 tff(2254,axiom,(![H: $i] : (((~house(H)) | (~lives(ukranian, H))) | (~lives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ukranian_and_japanese_live_apart')).
% 0.67/0.80 tff(2255,plain,
% 0.67/0.80 (![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2254, 2253])).
% 0.67/0.80 tff(2256,plain,
% 0.67/0.80 (![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2255, 2251])).
% 0.67/0.80 tff(2257,plain,(
% 0.67/0.80 ![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(skolemize,[status(sab)],[2256])).
% 0.67/0.80 tff(2258,plain,
% 0.67/0.80 (![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2257, 2250])).
% 0.67/0.80 tff(2259,plain,
% 0.67/0.80 (((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(japanese, house_3)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | (~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(japanese, house_3)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2260,plain,
% 0.67/0.80 ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(japanese, house_3)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2261,plain,
% 0.67/0.80 ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | (~house(house_3)) | (~lives(ukranian, house_3)) | (~lives(japanese, house_3))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2260, 2259])).
% 0.67/0.80 tff(2262,plain,
% 0.67/0.80 ((~lives(ukranian, house_3)) | (~lives(japanese, house_3))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2261, 2258, 14])).
% 0.67/0.80 tff(2263,plain,
% 0.67/0.80 (~lives(japanese, house_3)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2262, 2227])).
% 0.67/0.80 tff(2264,plain,
% 0.67/0.80 (~drinks(japanese, milk)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[918, 2263])).
% 0.67/0.80 tff(2265,assumption,(drinks(norwegian, orange)), introduced(assumption)).
% 0.67/0.80 tff(2266,plain,
% 0.67/0.80 (~drinks(spaniard, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[791, 2265])).
% 0.67/0.80 tff(2267,plain,
% 0.67/0.80 (~drives(spaniard, honda)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1167, 2266])).
% 0.67/0.80 tff(2268,plain,
% 0.67/0.80 (~drinks(ukranian, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1180, 2265])).
% 0.67/0.80 tff(2269,plain,
% 0.67/0.80 (~drives(ukranian, honda)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1284, 2268])).
% 0.67/0.80 tff(2270,assumption,(~lives(ukranian, house_4)), introduced(assumption)).
% 0.67/0.80 tff(2271,assumption,(~lives(ukranian, house_5)), introduced(assumption)).
% 0.67/0.80 tff(2272,plain,
% 0.67/0.80 (~drinks(english, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[766, 2265])).
% 0.67/0.80 tff(2273,plain,
% 0.67/0.80 (drinks(english, water)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[745, 2272, 702, 701])).
% 0.67/0.80 tff(2274,plain,
% 0.67/0.80 (~drinks(japanese, water)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[910, 2273])).
% 0.67/0.80 tff(2275,plain,
% 0.67/0.80 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(norwegian, orange)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(norwegian, orange)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2276,plain,
% 0.67/0.80 (((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(japanese, orange))) <=> ((~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(norwegian, orange)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2277,plain,
% 0.67/0.80 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(japanese, orange)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(norwegian, orange))))),
% 0.67/0.80 inference(monotonicity,[status(thm)],[2276])).
% 0.67/0.80 tff(2278,plain,
% 0.67/0.80 (((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(japanese, orange)))) <=> ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(norwegian, orange)))),
% 0.67/0.80 inference(transitivity,[status(thm)],[2277, 2275])).
% 0.67/0.80 tff(2279,plain,
% 0.67/0.80 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | ((~drink(orange)) | (~drinks(norwegian, orange)) | (~drinks(japanese, orange)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2280,plain,
% 0.67/0.80 ((~![H: $i] : ((~drink(H)) | (~drinks(norwegian, H)) | (~drinks(japanese, H)))) | (~drink(orange)) | (~drinks(japanese, orange)) | (~drinks(norwegian, orange))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 0.67/0.80 tff(2281,plain,
% 0.67/0.80 ((~drinks(japanese, orange)) | (~drinks(norwegian, orange))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2280, 864, 749])).
% 0.67/0.80 tff(2282,plain,
% 0.67/0.80 (~drinks(japanese, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2281, 2265])).
% 0.67/0.80 tff(2283,assumption,(~drinks(spaniard, milk)), introduced(assumption)).
% 0.67/0.80 tff(2284,plain,
% 0.67/0.80 (drinks(spaniard, coffee)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1239, 2266, 1201, 2283])).
% 0.67/0.80 tff(2285,plain,
% 0.67/0.80 (~drinks(japanese, coffee)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1247, 2284])).
% 0.67/0.80 tff(2286,plain,
% 0.67/0.80 (drinks(japanese, milk)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[843, 2285, 2282, 2274])).
% 0.67/0.80 tff(2287,plain,
% 0.67/0.80 (lives(japanese, house_3)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[918, 2286])).
% 0.67/0.80 tff(2288,plain,
% 0.67/0.80 (~lives(ukranian, house_3)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2262, 2287])).
% 0.67/0.80 tff(2289,plain,
% 0.67/0.80 (lives(ukranian, house_2)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2226, 2288, 2271, 2270])).
% 0.67/0.80 tff(2290,plain,
% 0.67/0.80 (~drives(ukranian, masserati)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2202, 1280, 146, 1060, 2289, 1074])).
% 0.67/0.80 tff(2291,plain,
% 0.67/0.80 (~drives(english, honda)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2017, 2272])).
% 0.67/0.80 tff(2292,plain,
% 0.67/0.80 (~drives(ukranian, porsche)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1865, 2291, 1170, 1169, 2267])).
% 0.67/0.80 tff(2293,plain,
% 0.67/0.80 (drives(ukranian, saab)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1786, 2292, 2290, 2269])).
% 0.67/0.80 tff(2294,plain,
% 0.67/0.80 (~drives(spaniard, saab)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1759, 2293])).
% 0.67/0.80 tff(2295,plain,
% 0.67/0.80 (drives(spaniard, porsche)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1737, 2294, 1169, 2267])).
% 0.67/0.80 tff(2296,plain,
% 0.67/0.80 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(ukranian, saab)) | (~car(saab)) | (~drives(english, saab)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(ukranian, saab)) | (~car(saab)) | (~drives(english, saab)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2297,plain,
% 0.67/0.80 (((~drives(english, saab)) | (~car(saab)) | (~drives(ukranian, saab))) <=> ((~drives(ukranian, saab)) | (~car(saab)) | (~drives(english, saab)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2298,plain,
% 0.67/0.80 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, saab)) | (~car(saab)) | (~drives(ukranian, saab)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(ukranian, saab)) | (~car(saab)) | (~drives(english, saab))))),
% 0.67/0.80 inference(monotonicity,[status(thm)],[2297])).
% 0.67/0.80 tff(2299,plain,
% 0.67/0.80 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, saab)) | (~car(saab)) | (~drives(ukranian, saab)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(ukranian, saab)) | (~car(saab)) | (~drives(english, saab)))),
% 0.67/0.80 inference(transitivity,[status(thm)],[2298, 2296])).
% 0.67/0.80 tff(2300,plain,
% 0.67/0.80 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | ((~drives(english, saab)) | (~car(saab)) | (~drives(ukranian, saab)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2301,plain,
% 0.67/0.80 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(ukranian, H)))) | (~drives(ukranian, saab)) | (~car(saab)) | (~drives(english, saab))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2300, 2299])).
% 0.67/0.80 tff(2302,plain,
% 0.67/0.80 ((~drives(ukranian, saab)) | (~drives(english, saab))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2301, 1812, 1742])).
% 0.67/0.80 tff(2303,plain,
% 0.67/0.80 (~drives(english, saab)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2302, 2293])).
% 0.67/0.80 tff(2304,plain,
% 0.67/0.80 (drives(english, porsche)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1845, 2303, 1170, 2291])).
% 0.67/0.80 tff(2305,plain,
% 0.67/0.80 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(english, porsche)) | (~drives(spaniard, porsche)) | (~car(porsche)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~drives(english, porsche)) | (~drives(spaniard, porsche)) | (~car(porsche)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2306,plain,
% 0.67/0.80 (((~drives(spaniard, porsche)) | (~drives(english, porsche)) | (~car(porsche))) <=> ((~drives(english, porsche)) | (~drives(spaniard, porsche)) | (~car(porsche)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2307,plain,
% 0.67/0.80 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, porsche)) | (~drives(english, porsche)) | (~car(porsche)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(english, porsche)) | (~drives(spaniard, porsche)) | (~car(porsche))))),
% 0.67/0.80 inference(monotonicity,[status(thm)],[2306])).
% 0.67/0.80 tff(2308,plain,
% 0.67/0.80 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, porsche)) | (~drives(english, porsche)) | (~car(porsche)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~drives(english, porsche)) | (~drives(spaniard, porsche)) | (~car(porsche)))),
% 0.67/0.80 inference(transitivity,[status(thm)],[2307, 2305])).
% 0.67/0.80 tff(2309,plain,
% 0.67/0.80 ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, porsche)) | (~drives(english, porsche)) | (~car(porsche)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2310,plain,
% 0.67/0.80 ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~drives(english, porsche)) | (~drives(spaniard, porsche)) | (~car(porsche))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 0.67/0.80 tff(2311,plain,
% 0.67/0.80 ((~drives(english, porsche)) | (~drives(spaniard, porsche))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2310, 1856, 1792])).
% 0.67/0.80 tff(2312,plain,
% 0.67/0.80 ($false),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2311, 2304, 2295])).
% 0.67/0.80 tff(2313,plain,((~drinks(norwegian, orange)) | drives(english, masserati) | drives(spaniard, masserati) | is_color(house_2, yellow) | lives(ukranian, house_5) | lives(ukranian, house_4) | drinks(english, milk) | drinks(english, coffee) | drinks(spaniard, water) | drinks(spaniard, milk)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.80 tff(2314,plain,
% 0.67/0.80 (~drinks(norwegian, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2313, 2246, 1118, 1027, 2195, 1125, 43, 584, 770, 2180])).
% 0.67/0.80 tff(2315,plain,
% 0.67/0.80 (drinks(norwegian, water) | drinks(norwegian, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[699, 615])).
% 0.67/0.80 tff(2316,plain,
% 0.67/0.80 (drinks(norwegian, water)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2315, 2314])).
% 0.67/0.80 tff(2317,plain,
% 0.67/0.80 (~drinks(japanese, water)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[871, 2316])).
% 0.67/0.80 tff(2318,plain,
% 0.67/0.80 (drinks(japanese, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[843, 2317, 2264, 2248])).
% 0.67/0.80 tff(2319,plain,
% 0.67/0.80 (~drinks(english, water)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[891, 2316])).
% 0.67/0.80 tff(2320,plain,
% 0.67/0.80 (drinks(english, orange)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[745, 2319, 43, 584])).
% 0.67/0.80 tff(2321,plain,
% 0.67/0.80 ($false),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2025, 2320, 2318])).
% 0.67/0.80 tff(2322,plain,(is_color(house_3, red)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.80 tff(2323,plain,
% 0.67/0.80 (~is_color(house_4, red)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[596, 2322])).
% 0.67/0.80 tff(2324,plain,
% 0.67/0.80 ((~left_of(house_5, house_4)) <=> (~left_of(house_5, house_4))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2325,axiom,(~left_of(house_5, house_4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_5_not_left_of_house_4')).
% 0.67/0.80 tff(2326,plain,
% 0.67/0.80 (~left_of(house_5, house_4)),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 0.67/0.80 tff(2327,plain,
% 0.67/0.80 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_5, house_4) | (~house(house_4)) | (~house(house_5)) | (~is_color(house_4, green)) | (~is_color(house_5, ivory)))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_4) | (~house(house_4)) | (~house(house_5)) | (~is_color(house_4, green)) | (~is_color(house_5, ivory)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2328,plain,
% 0.67/0.80 (((~house(house_4)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_4, green)) | left_of(house_5, house_4)) <=> (left_of(house_5, house_4) | (~house(house_4)) | (~house(house_5)) | (~is_color(house_4, green)) | (~is_color(house_5, ivory)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2329,plain,
% 0.67/0.80 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_4)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_4, green)) | left_of(house_5, house_4))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | (left_of(house_5, house_4) | (~house(house_4)) | (~house(house_5)) | (~is_color(house_4, green)) | (~is_color(house_5, ivory))))),
% 0.67/0.80 inference(monotonicity,[status(thm)],[2328])).
% 0.67/0.80 tff(2330,plain,
% 0.67/0.80 (((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_4)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_4, green)) | left_of(house_5, house_4))) <=> ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_4) | (~house(house_4)) | (~house(house_5)) | (~is_color(house_4, green)) | (~is_color(house_5, ivory)))),
% 0.67/0.80 inference(transitivity,[status(thm)],[2329, 2327])).
% 0.67/0.80 tff(2331,plain,
% 0.67/0.80 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | ((~house(house_4)) | (~house(house_5)) | (~is_color(house_5, ivory)) | (~is_color(house_4, green)) | left_of(house_5, house_4))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2332,plain,
% 0.67/0.80 ((~![House_2: $i, House_1: $i] : ((~house(House_1)) | (~house(House_2)) | (~is_color(House_2, ivory)) | (~is_color(House_1, green)) | left_of(House_2, House_1))) | left_of(house_5, house_4) | (~house(house_4)) | (~house(house_5)) | (~is_color(house_4, green)) | (~is_color(house_5, ivory))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 0.67/0.80 tff(2333,plain,
% 0.67/0.80 ((~is_color(house_4, green)) | (~is_color(house_5, ivory))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2332, 96, 60, 57, 2326])).
% 0.67/0.80 tff(2334,plain,
% 0.67/0.80 (~is_color(house_4, green)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2333, 44])).
% 0.67/0.80 tff(2335,plain,
% 0.67/0.80 (((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | ((~color(ivory)) | (~is_color(house_4, ivory)) | (~is_color(house_5, ivory)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_4, ivory)) | (~is_color(house_5, ivory)))),
% 0.67/0.80 inference(rewrite,[status(thm)],[])).
% 0.67/0.80 tff(2336,plain,
% 0.67/0.80 ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | ((~color(ivory)) | (~is_color(house_4, ivory)) | (~is_color(house_5, ivory)))),
% 0.67/0.80 inference(quant_inst,[status(thm)],[])).
% 0.67/0.80 tff(2337,plain,
% 0.67/0.80 ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | (~color(ivory)) | (~is_color(house_4, ivory)) | (~is_color(house_5, ivory))),
% 0.67/0.80 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 0.67/0.80 tff(2338,plain,
% 0.67/0.80 ((~is_color(house_4, ivory)) | (~is_color(house_5, ivory))),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2337, 489, 194])).
% 0.67/0.80 tff(2339,plain,
% 0.67/0.80 (~is_color(house_4, ivory)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2338, 44])).
% 0.67/0.80 tff(2340,plain,
% 0.67/0.80 (is_color(house_4, yellow)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[535, 2339, 1126, 2334])).
% 0.67/0.80 tff(2341,plain,
% 0.67/0.80 (is_color(house_1, yellow)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[265, 202, 401, 983])).
% 0.67/0.80 tff(2342,plain,
% 0.67/0.80 ($false),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[1018, 2341, 2340])).
% 0.67/0.80 tff(2343,plain,((~is_color(house_5, ivory)) | is_color(house_1, red) | is_color(house_1, green) | is_color(house_4, red)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.80 tff(2344,plain,
% 0.67/0.80 ((~is_color(house_5, ivory)) | is_color(house_4, red)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2343, 604, 347])).
% 0.67/0.80 tff(2345,plain,
% 0.67/0.80 (~is_color(house_5, ivory)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[2344, 2323])).
% 0.67/0.80 tff(2346,plain,
% 0.67/0.80 (~is_color(house_5, red)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[590, 2322])).
% 0.67/0.80 tff(2347,plain,
% 0.67/0.80 (~is_color(house_4, yellow)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[602, 389])).
% 0.67/0.80 tff(2348,plain,
% 0.67/0.80 (is_color(house_1, ivory)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[265, 394, 401, 983])).
% 0.67/0.80 tff(2349,plain,
% 0.67/0.80 (~is_color(house_4, ivory)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[977, 2348])).
% 0.67/0.80 tff(2350,plain,
% 0.67/0.80 (~is_color(house_4, green)),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[999, 2348])).
% 0.67/0.80 tff(2351,plain,
% 0.67/0.80 ($false),
% 0.67/0.80 inference(unit_resolution,[status(thm)],[535, 2350, 2349, 1126, 2347])).
% 0.67/0.80 tff(2352,plain,((~is_color(house_5, yellow)) | is_color(house_4, red) | is_color(house_1, red) | is_color(house_1, green)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.80 tff(2353,plain,
% 0.67/0.80 ((~is_color(house_5, yellow)) | is_color(house_4, red)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2352, 604, 347])).
% 0.67/0.81 tff(2354,plain,
% 0.67/0.81 (~is_color(house_5, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2353, 2323])).
% 0.67/0.81 tff(2355,plain,
% 0.67/0.81 (is_color(house_5, green)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[478, 2354, 2346, 2345])).
% 0.67/0.81 tff(2356,plain,
% 0.67/0.81 (((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_5, green)))) <=> ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_5, green)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2357,plain,
% 0.67/0.81 ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | ((~color(green)) | (~is_color(house_4, green)) | (~is_color(house_5, green)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2358,plain,
% 0.67/0.81 ((~![H: $i] : ((~color(H)) | (~is_color(house_4, H)) | (~is_color(house_5, H)))) | (~color(green)) | (~is_color(house_4, green)) | (~is_color(house_5, green))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2357, 2356])).
% 0.67/0.81 tff(2359,plain,
% 0.67/0.81 ((~is_color(house_4, green)) | (~is_color(house_5, green))),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2358, 489, 362])).
% 0.67/0.81 tff(2360,plain,
% 0.67/0.81 (~is_color(house_4, green)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2359, 2355])).
% 0.67/0.81 tff(2361,plain,
% 0.67/0.81 (~is_color(house_1, ivory)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[548, 2355])).
% 0.67/0.81 tff(2362,plain,
% 0.67/0.81 (is_color(house_1, yellow) | is_color(house_1, ivory)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[265, 604, 347])).
% 0.67/0.81 tff(2363,plain,
% 0.67/0.81 (is_color(house_1, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2362, 2361])).
% 0.67/0.81 tff(2364,plain,
% 0.67/0.81 (~is_color(house_4, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1018, 2363])).
% 0.67/0.81 tff(2365,plain,
% 0.67/0.81 (is_color(house_4, ivory)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[535, 2364, 2323, 2360])).
% 0.67/0.81 tff(2366,plain,
% 0.67/0.81 (lives(english, house_3)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[950, 2322])).
% 0.67/0.81 tff(2367,plain,
% 0.67/0.81 (~lives(spaniard, house_3)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1208, 2366])).
% 0.67/0.81 tff(2368,plain,
% 0.67/0.81 (~is_color(house_2, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1026, 2363])).
% 0.67/0.81 tff(2369,plain,
% 0.67/0.81 (~is_color(house_3, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[333, 2363])).
% 0.67/0.81 tff(2370,plain,
% 0.67/0.81 (lives(spaniard, house_5)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1117, 1048, 2369, 2364, 2368])).
% 0.67/0.81 tff(2371,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(spaniard)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2372,plain,
% 0.67/0.81 (((~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)) | (~person(spaniard))) <=> ((~person(spaniard)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2373,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(spaniard)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati))))),
% 0.67/0.81 inference(monotonicity,[status(thm)],[2372])).
% 0.67/0.81 tff(2374,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)) | (~person(spaniard)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)))),
% 0.67/0.81 inference(transitivity,[status(thm)],[2373, 2371])).
% 0.67/0.81 tff(2375,plain,
% 0.67/0.81 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati)) | (~person(spaniard)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2376,plain,
% 0.67/0.81 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(spaniard)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(spaniard, house_5)) | (~drives(spaniard, masserati))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 0.67/0.81 tff(2377,plain,
% 0.67/0.81 ($false),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2376, 1063, 60, 1060, 1048, 2370, 2354])).
% 0.67/0.81 tff(2378,plain,(~drives(spaniard, masserati)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.81 tff(2379,assumption,(drinks(english, orange)), introduced(assumption)).
% 0.67/0.81 tff(2380,plain,
% 0.67/0.81 (~drinks(japanese, orange)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2025, 2379])).
% 0.67/0.81 tff(2381,plain,
% 0.67/0.81 (~drinks(norwegian, orange)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[766, 2379])).
% 0.67/0.81 tff(2382,plain,
% 0.67/0.81 (drinks(norwegian, water)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2315, 2381])).
% 0.67/0.81 tff(2383,plain,
% 0.67/0.81 (~drinks(japanese, water)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[871, 2382])).
% 0.67/0.81 tff(2384,plain,
% 0.67/0.81 (~drinks(spaniard, water)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[637, 2382])).
% 0.67/0.81 tff(2385,plain,
% 0.67/0.81 ($false),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1249, 2384, 2383, 2366, 1150, 2380])).
% 0.67/0.81 tff(2386,plain,((~drinks(english, orange)) | drinks(spaniard, orange)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.81 tff(2387,plain,
% 0.67/0.81 (~drinks(english, orange)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2386, 1150])).
% 0.67/0.81 tff(2388,plain,
% 0.67/0.81 (~drives(english, honda)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2017, 2387])).
% 0.67/0.81 tff(2389,plain,
% 0.67/0.81 (((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(english, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3)))) <=> ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2390,plain,
% 0.67/0.81 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(english, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2391,plain,
% 0.67/0.81 ((~![H: $i] : ((~lives(english, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(english, house_3)) | (~house(house_3)) | (~lives(ukranian, house_3))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 0.67/0.81 tff(2392,plain,
% 0.67/0.81 ((~lives(english, house_3)) | (~lives(ukranian, house_3))),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2391, 2190, 14])).
% 0.67/0.81 tff(2393,plain,
% 0.67/0.81 (~lives(ukranian, house_3)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2392, 2366])).
% 0.67/0.81 tff(2394,plain,
% 0.67/0.81 (~is_color(house_5, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2352, 983, 401, 1126])).
% 0.67/0.81 tff(2395,assumption,(~lives(ukranian, house_3)), introduced(assumption)).
% 0.67/0.81 tff(2396,plain,
% 0.67/0.81 (~is_color(house_5, ivory)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2343, 983, 401, 1126])).
% 0.67/0.81 tff(2397,assumption,(~is_color(house_5, red)), introduced(assumption)).
% 0.67/0.81 tff(2398,plain,
% 0.67/0.81 (is_color(house_5, green)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[478, 2394, 2397, 2396])).
% 0.67/0.81 tff(2399,plain,
% 0.67/0.81 (~is_color(house_1, ivory)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[548, 2398])).
% 0.67/0.81 tff(2400,plain,
% 0.67/0.81 (is_color(house_1, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[265, 2399, 401, 983])).
% 0.67/0.81 tff(2401,plain,
% 0.67/0.81 (~is_color(house_4, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1018, 2400])).
% 0.67/0.81 tff(2402,plain,
% 0.67/0.81 (~lives(ukranian, house_4)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2179, 2401, 2171])).
% 0.67/0.81 tff(2403,plain,
% 0.67/0.81 (~is_color(house_2, yellow)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1026, 2400])).
% 0.67/0.81 tff(2404,plain,
% 0.67/0.81 (~lives(ukranian, house_2)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2204, 2403, 2171])).
% 0.67/0.81 tff(2405,plain,
% 0.67/0.81 (lives(ukranian, house_5)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2226, 2404, 2402, 2395])).
% 0.67/0.81 tff(2406,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(ukranian)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(ukranian)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2407,plain,
% 0.67/0.81 (((~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)) | (~person(ukranian))) <=> ((~person(ukranian)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2408,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)) | (~person(ukranian)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~person(ukranian)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati))))),
% 0.67/0.81 inference(monotonicity,[status(thm)],[2407])).
% 0.67/0.81 tff(2409,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)) | (~person(ukranian)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(ukranian)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)))),
% 0.67/0.81 inference(transitivity,[status(thm)],[2408, 2406])).
% 0.67/0.81 tff(2410,plain,
% 0.67/0.81 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati)) | (~person(ukranian)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2411,plain,
% 0.67/0.81 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~person(ukranian)) | (~house(house_5)) | is_color(house_5, yellow) | (~lives(ukranian, house_5)) | (~drives(ukranian, masserati))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2410, 2409])).
% 0.67/0.81 tff(2412,plain,
% 0.67/0.81 ($false),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2411, 1280, 60, 1060, 2171, 2405, 2394])).
% 0.67/0.81 tff(2413,plain,(is_color(house_1, green) | (~drives(ukranian, masserati)) | lives(ukranian, house_3) | is_color(house_1, red) | is_color(house_5, red) | is_color(house_4, red)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.81 tff(2414,plain,
% 0.67/0.81 ((~drives(ukranian, masserati)) | lives(ukranian, house_3) | is_color(house_5, red) | is_color(house_4, red)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2413, 604, 347])).
% 0.67/0.81 tff(2415,plain,
% 0.67/0.81 (~drives(ukranian, masserati)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2414, 2393, 2346, 2323])).
% 0.67/0.81 tff(2416,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | is_color(house_3, yellow) | (~drives(english, masserati)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | is_color(house_3, yellow) | (~drives(english, masserati)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2417,plain,
% 0.67/0.81 (((~house(house_3)) | is_color(house_3, yellow) | (~lives(english, house_3)) | (~drives(english, masserati)) | (~person(english))) <=> ((~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | is_color(house_3, yellow) | (~drives(english, masserati)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2418,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_3)) | is_color(house_3, yellow) | (~lives(english, house_3)) | (~drives(english, masserati)) | (~person(english)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | is_color(house_3, yellow) | (~drives(english, masserati))))),
% 0.67/0.81 inference(monotonicity,[status(thm)],[2417])).
% 0.67/0.81 tff(2419,plain,
% 0.67/0.81 (((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_3)) | is_color(house_3, yellow) | (~lives(english, house_3)) | (~drives(english, masserati)) | (~person(english)))) <=> ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | is_color(house_3, yellow) | (~drives(english, masserati)))),
% 0.67/0.81 inference(transitivity,[status(thm)],[2418, 2416])).
% 0.67/0.81 tff(2420,plain,
% 0.67/0.81 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | ((~house(house_3)) | is_color(house_3, yellow) | (~lives(english, house_3)) | (~drives(english, masserati)) | (~person(english)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2421,plain,
% 0.67/0.81 ((~![Person: $i, H: $i] : ((~house(H)) | is_color(H, yellow) | (~lives(Person, H)) | (~drives(Person, masserati)) | (~person(Person)))) | (~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | is_color(house_3, yellow) | (~drives(english, masserati))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 0.67/0.81 tff(2422,plain,
% 0.67/0.81 (~drives(english, masserati)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2421, 35, 14, 1060, 2366, 2369])).
% 0.67/0.81 tff(2423,plain,
% 0.67/0.81 (~drives(ukranian, porsche)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1865, 1169, 2422, 1802, 1788])).
% 0.67/0.81 tff(2424,plain,
% 0.67/0.81 (drives(spaniard, saab)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1738, 1169, 1788])).
% 0.67/0.81 tff(2425,plain,
% 0.67/0.81 (~drives(ukranian, saab)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1759, 2424])).
% 0.67/0.81 tff(2426,plain,
% 0.67/0.81 ($false),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1786, 2425, 2423, 2415, 2123])).
% 0.67/0.81 tff(2427,plain,(drives(spaniard, masserati) | drives(ukranian, honda) | drives(english, honda) | drives(spaniard, honda)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.81 tff(2428,plain,
% 0.67/0.81 ($false),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2427, 2388, 1285, 2378, 1168])).
% 0.67/0.81 tff(2429,plain,(drinks(spaniard, orange)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.81 tff(2430,plain,
% 0.67/0.81 (((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(ukranian, orange)))) <=> ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(ukranian, orange)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2431,plain,
% 0.67/0.81 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | ((~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(ukranian, orange)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2432,plain,
% 0.67/0.81 ((~![H: $i] : ((~drinks(spaniard, H)) | (~drink(H)) | (~drinks(ukranian, H)))) | (~drinks(spaniard, orange)) | (~drink(orange)) | (~drinks(ukranian, orange))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2431, 2430])).
% 0.67/0.81 tff(2433,plain,
% 0.67/0.81 ((~drinks(spaniard, orange)) | (~drinks(ukranian, orange))),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2432, 1224, 749])).
% 0.67/0.81 tff(2434,plain,
% 0.67/0.81 (~drinks(ukranian, orange)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2433, 2429])).
% 0.67/0.81 tff(2435,plain,
% 0.67/0.81 (~drives(ukranian, honda)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1284, 2434])).
% 0.67/0.81 tff(2436,plain,
% 0.67/0.81 (~drinks(english, orange)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[882, 2429])).
% 0.67/0.81 tff(2437,plain,
% 0.67/0.81 (~drives(english, honda)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2017, 2436])).
% 0.67/0.81 tff(2438,plain,
% 0.67/0.81 (drives(english, saab)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1845, 1820, 2422, 2437])).
% 0.67/0.81 tff(2439,plain,
% 0.67/0.81 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | next_to(house_1, house_3))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2440,plain,
% 0.67/0.81 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(norwegian, fox)) | next_to(house_1, house_3)) <=> ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | next_to(house_1, house_3))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2441,plain,
% 0.67/0.81 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(norwegian, fox)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | next_to(house_1, house_3)))),
% 0.67/0.81 inference(monotonicity,[status(thm)],[2440])).
% 0.67/0.81 tff(2442,plain,
% 0.67/0.81 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(norwegian, fox)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | next_to(house_1, house_3))),
% 0.67/0.81 inference(transitivity,[status(thm)],[2441, 2439])).
% 0.67/0.81 tff(2443,plain,
% 0.67/0.81 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(norwegian, fox)) | next_to(house_1, house_3))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2444,plain,
% 0.67/0.81 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | next_to(house_1, house_3)),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 0.67/0.81 tff(2445,plain,
% 0.67/0.81 ((~owns(norwegian, fox)) | (~drives(english, saab))),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2444, 35, 607, 63, 14, 154, 2043, 2366, 2013])).
% 0.67/0.81 tff(2446,plain,
% 0.67/0.81 (~owns(norwegian, fox)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2445, 2438])).
% 0.67/0.81 tff(2447,plain,
% 0.67/0.81 (owns(ukranian, snails)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2003, 1789])).
% 0.67/0.81 tff(2448,plain,
% 0.67/0.81 (~owns(norwegian, snails)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[2008, 2447])).
% 0.67/0.81 tff(2449,plain,
% 0.67/0.81 (~drives(norwegian, porsche)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[1933, 1789])).
% 0.67/0.81 tff(2450,plain,
% 0.67/0.81 (~drinks(norwegian, orange)),
% 0.67/0.81 inference(unit_resolution,[status(thm)],[791, 2429])).
% 0.67/0.81 tff(2451,plain,
% 0.67/0.81 (((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(norwegian)) | drinks(norwegian, orange) | (~drives(norwegian, honda)))) <=> ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (~person(norwegian)) | drinks(norwegian, orange) | (~drives(norwegian, honda)))),
% 0.67/0.81 inference(rewrite,[status(thm)],[])).
% 0.67/0.81 tff(2452,plain,
% 0.67/0.81 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | ((~person(norwegian)) | drinks(norwegian, orange) | (~drives(norwegian, honda)))),
% 0.67/0.81 inference(quant_inst,[status(thm)],[])).
% 0.67/0.81 tff(2453,plain,
% 0.67/0.81 ((~![P: $i] : ((~person(P)) | drinks(P, orange) | (~drives(P, honda)))) | (~person(norwegian)) | drinks(norwegian, orange) | (~drives(norwegian, honda))),
% 0.67/0.81 inference(modus_ponens,[status(thm)],[2452, 2451])).
% 0.67/0.81 tff(2454,plain,
% 0.67/0.81 (drinks(norwegian, orange) | (~drives(norwegian, honda))),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[2453, 607, 1160])).
% 0.67/0.82 tff(2455,plain,
% 0.67/0.82 (~drives(norwegian, honda)),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[2454, 2450])).
% 0.67/0.82 tff(2456,plain,
% 0.67/0.82 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(norwegian, saab)) | (~car(saab)) | (~drives(english, saab)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, saab)) | (~car(saab)) | (~drives(english, saab)))),
% 0.67/0.82 inference(rewrite,[status(thm)],[])).
% 0.67/0.82 tff(2457,plain,
% 0.67/0.82 (((~drives(english, saab)) | (~car(saab)) | (~drives(norwegian, saab))) <=> ((~drives(norwegian, saab)) | (~car(saab)) | (~drives(english, saab)))),
% 0.67/0.82 inference(rewrite,[status(thm)],[])).
% 0.67/0.82 tff(2458,plain,
% 0.67/0.82 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, saab)) | (~car(saab)) | (~drives(norwegian, saab)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(norwegian, saab)) | (~car(saab)) | (~drives(english, saab))))),
% 0.67/0.82 inference(monotonicity,[status(thm)],[2457])).
% 0.67/0.82 tff(2459,plain,
% 0.67/0.82 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, saab)) | (~car(saab)) | (~drives(norwegian, saab)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, saab)) | (~car(saab)) | (~drives(english, saab)))),
% 0.67/0.82 inference(transitivity,[status(thm)],[2458, 2456])).
% 0.67/0.82 tff(2460,plain,
% 0.67/0.82 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, saab)) | (~car(saab)) | (~drives(norwegian, saab)))),
% 0.67/0.82 inference(quant_inst,[status(thm)],[])).
% 0.67/0.82 tff(2461,plain,
% 0.67/0.82 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, saab)) | (~car(saab)) | (~drives(english, saab))),
% 0.67/0.82 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 0.67/0.82 tff(2462,plain,
% 0.67/0.82 ((~drives(norwegian, saab)) | (~drives(english, saab))),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[2461, 1879, 1742])).
% 0.67/0.82 tff(2463,plain,
% 0.67/0.82 (~drives(norwegian, saab)),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[2462, 2438])).
% 0.67/0.82 tff(2464,plain,
% 0.67/0.82 (drives(norwegian, masserati)),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[1959, 2463, 2455, 2449])).
% 0.67/0.82 tff(2465,plain,
% 0.67/0.82 (~owns(norwegian, horse)),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[1998, 2464])).
% 0.67/0.82 tff(2466,plain,
% 0.67/0.82 (owns(norwegian, zebra)),
% 0.67/0.82 inference(unit_resolution,[status(thm)],[1485, 2465, 2448, 2446])).
% 0.67/0.82 tff(2467,plain,
% 0.67/0.82 ((~left_of(house_3, house_3)) <=> (~left_of(house_3, house_3))),
% 0.67/0.82 inference(rewrite,[status(thm)],[])).
% 0.67/0.82 tff(2468,axiom,(~left_of(house_3, house_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_3_not_left_of_house_3')).
% 0.67/0.82 tff(2469,plain,
% 0.67/0.82 (~left_of(house_3, house_3)),
% 0.67/0.82 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 0.67/0.82 tff(2470,plain,
% 0.67/0.82 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_3, house_3) | (~next_to(house_3, house_3)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_3, house_3) | (~next_to(house_3, house_3)))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2471,plain,
% 0.73/0.82 (((~next_to(house_3, house_3)) | left_of(house_3, house_3) | left_of(house_3, house_3)) <=> (left_of(house_3, house_3) | (~next_to(house_3, house_3)))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2472,plain,
% 0.73/0.82 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_3, house_3)) | left_of(house_3, house_3) | left_of(house_3, house_3))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_3, house_3) | (~next_to(house_3, house_3))))),
% 0.73/0.82 inference(monotonicity,[status(thm)],[2471])).
% 0.73/0.82 tff(2473,plain,
% 0.73/0.82 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_3, house_3)) | left_of(house_3, house_3) | left_of(house_3, house_3))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_3, house_3) | (~next_to(house_3, house_3)))),
% 0.73/0.82 inference(transitivity,[status(thm)],[2472, 2470])).
% 0.73/0.82 tff(2474,plain,
% 0.73/0.82 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_3, house_3)) | left_of(house_3, house_3) | left_of(house_3, house_3))),
% 0.73/0.82 inference(quant_inst,[status(thm)],[])).
% 0.73/0.82 tff(2475,plain,
% 0.73/0.82 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_3, house_3) | (~next_to(house_3, house_3))),
% 0.73/0.82 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 0.73/0.82 tff(2476,plain,
% 0.73/0.82 (~next_to(house_3, house_3)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2475, 1973, 2469])).
% 0.73/0.82 tff(2477,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | (~owns(english, fox)) | next_to(house_3, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | (~owns(english, fox)) | next_to(house_3, house_3))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2478,plain,
% 0.73/0.82 (((~house(house_3)) | (~lives(english, house_3)) | (~person(english)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(english, fox)) | next_to(house_3, house_3)) <=> ((~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | (~owns(english, fox)) | next_to(house_3, house_3))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2479,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_3)) | (~lives(english, house_3)) | (~person(english)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(english, fox)) | next_to(house_3, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | (~owns(english, fox)) | next_to(house_3, house_3)))),
% 0.73/0.82 inference(monotonicity,[status(thm)],[2478])).
% 0.73/0.82 tff(2480,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_3)) | (~lives(english, house_3)) | (~person(english)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(english, fox)) | next_to(house_3, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | (~owns(english, fox)) | next_to(house_3, house_3))),
% 0.73/0.82 inference(transitivity,[status(thm)],[2479, 2477])).
% 0.73/0.82 tff(2481,plain,
% 0.73/0.82 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_3)) | (~lives(english, house_3)) | (~person(english)) | (~lives(english, house_3)) | (~house(house_3)) | (~drives(english, saab)) | (~person(english)) | (~owns(english, fox)) | next_to(house_3, house_3))),
% 0.73/0.82 inference(quant_inst,[status(thm)],[])).
% 0.73/0.82 tff(2482,plain,
% 0.73/0.82 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~lives(english, house_3)) | (~person(english)) | (~house(house_3)) | (~drives(english, saab)) | (~owns(english, fox)) | next_to(house_3, house_3)),
% 0.73/0.82 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 0.73/0.82 tff(2483,plain,
% 0.73/0.82 ((~drives(english, saab)) | (~owns(english, fox))),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2482, 35, 14, 2043, 2366, 2476])).
% 0.73/0.82 tff(2484,plain,
% 0.73/0.82 (~owns(english, fox)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2483, 2438])).
% 0.73/0.82 tff(2485,plain,
% 0.73/0.82 (~owns(english, snails)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2067, 2447])).
% 0.73/0.82 tff(2486,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~owns(english, horse)) | next_to(house_1, house_3))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~owns(english, horse)) | next_to(house_1, house_3))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2487,plain,
% 0.73/0.82 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~person(english)) | next_to(house_1, house_3) | (~owns(english, horse))) <=> ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~owns(english, horse)) | next_to(house_1, house_3))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2488,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~person(english)) | next_to(house_1, house_3) | (~owns(english, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~owns(english, horse)) | next_to(house_1, house_3)))),
% 0.73/0.82 inference(monotonicity,[status(thm)],[2487])).
% 0.73/0.82 tff(2489,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~person(english)) | next_to(house_1, house_3) | (~owns(english, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~owns(english, horse)) | next_to(house_1, house_3))),
% 0.73/0.82 inference(transitivity,[status(thm)],[2488, 2486])).
% 0.73/0.82 tff(2490,plain,
% 0.73/0.82 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(english, house_3)) | (~house(house_3)) | (~person(english)) | next_to(house_1, house_3) | (~owns(english, horse)))),
% 0.73/0.82 inference(quant_inst,[status(thm)],[])).
% 0.73/0.82 tff(2491,plain,
% 0.73/0.82 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(english, house_3)) | (~house(house_1)) | (~person(norwegian)) | (~person(english)) | (~house(house_3)) | (~owns(english, horse)) | next_to(house_1, house_3)),
% 0.73/0.82 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 0.73/0.82 tff(2492,plain,
% 0.73/0.82 ((~drives(norwegian, masserati)) | (~owns(english, horse))),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2491, 35, 607, 63, 14, 154, 1990, 2366, 2013])).
% 0.73/0.82 tff(2493,plain,
% 0.73/0.82 (~owns(english, horse)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2492, 2464])).
% 0.73/0.82 tff(2494,plain,
% 0.73/0.82 (owns(english, zebra)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[1534, 2493, 2485, 2484])).
% 0.73/0.82 tff(2495,plain,
% 0.73/0.82 ($false),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[1542, 2494, 2466])).
% 0.73/0.82 tff(2496,plain,(~drives(ukranian, porsche)), inference(lemma,lemma(discharge,[]))).
% 0.73/0.82 tff(2497,plain,
% 0.73/0.82 (drives(ukranian, saab)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[1786, 2496, 2415, 2435])).
% 0.73/0.82 tff(2498,plain,
% 0.73/0.82 ((~left_of(house_4, house_4)) <=> (~left_of(house_4, house_4))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2499,axiom,(~left_of(house_4, house_4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_4_not_left_of_house_4')).
% 0.73/0.82 tff(2500,plain,
% 0.73/0.82 (~left_of(house_4, house_4)),
% 0.73/0.82 inference(modus_ponens,[status(thm)],[2499, 2498])).
% 0.73/0.82 tff(2501,plain,
% 0.73/0.82 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_4, house_4) | (~next_to(house_4, house_4)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_4, house_4) | (~next_to(house_4, house_4)))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2502,plain,
% 0.73/0.82 (((~next_to(house_4, house_4)) | left_of(house_4, house_4) | left_of(house_4, house_4)) <=> (left_of(house_4, house_4) | (~next_to(house_4, house_4)))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2503,plain,
% 0.73/0.82 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_4, house_4)) | left_of(house_4, house_4) | left_of(house_4, house_4))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_4, house_4) | (~next_to(house_4, house_4))))),
% 0.73/0.82 inference(monotonicity,[status(thm)],[2502])).
% 0.73/0.82 tff(2504,plain,
% 0.73/0.82 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_4, house_4)) | left_of(house_4, house_4) | left_of(house_4, house_4))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_4, house_4) | (~next_to(house_4, house_4)))),
% 0.73/0.82 inference(transitivity,[status(thm)],[2503, 2501])).
% 0.73/0.82 tff(2505,plain,
% 0.73/0.82 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_4, house_4)) | left_of(house_4, house_4) | left_of(house_4, house_4))),
% 0.73/0.82 inference(quant_inst,[status(thm)],[])).
% 0.73/0.82 tff(2506,plain,
% 0.73/0.82 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_4, house_4) | (~next_to(house_4, house_4))),
% 0.73/0.82 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 0.73/0.82 tff(2507,plain,
% 0.73/0.82 (~next_to(house_4, house_4)),
% 0.73/0.82 inference(unit_resolution,[status(thm)],[2506, 1973, 2500])).
% 0.73/0.82 tff(2508,assumption,(drives(ukranian, saab)), introduced(assumption)).
% 0.73/0.82 tff(2509,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2510,plain,
% 0.73/0.82 (((~house(house_4)) | (~lives(ukranian, house_4)) | (~person(ukranian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_4, house_4)) <=> ((~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))),
% 0.73/0.82 inference(rewrite,[status(thm)],[])).
% 0.73/0.82 tff(2511,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_4)) | (~lives(ukranian, house_4)) | (~person(ukranian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | (~owns(ukranian, fox)) | next_to(house_4, house_4)))),
% 0.73/0.82 inference(monotonicity,[status(thm)],[2510])).
% 0.73/0.82 tff(2512,plain,
% 0.73/0.82 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_4)) | (~lives(ukranian, house_4)) | (~person(ukranian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))),
% 0.73/0.83 inference(transitivity,[status(thm)],[2511, 2509])).
% 0.73/0.83 tff(2513,plain,
% 0.73/0.83 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_4)) | (~lives(ukranian, house_4)) | (~person(ukranian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_4, house_4))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2514,plain,
% 0.73/0.83 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | (~owns(ukranian, fox)) | next_to(house_4, house_4)),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 0.73/0.83 tff(2515,plain,
% 0.73/0.83 (~owns(ukranian, fox)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2514, 1280, 96, 2043, 2508, 2170, 2507])).
% 0.73/0.83 tff(2516,plain,
% 0.73/0.83 (~drives(spaniard, saab)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1759, 2508])).
% 0.73/0.83 tff(2517,plain,
% 0.73/0.83 (drives(spaniard, honda)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1738, 2516, 1169])).
% 0.73/0.83 tff(2518,assumption,(~drives(english, porsche)), introduced(assumption)).
% 0.73/0.83 tff(2519,plain,
% 0.73/0.83 (~drives(english, saab)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2302, 2508])).
% 0.73/0.83 tff(2520,plain,
% 0.73/0.83 (drives(english, honda)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1845, 2519, 1170, 2518])).
% 0.73/0.83 tff(2521,plain,
% 0.73/0.83 (((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, honda)) | (~drives(english, honda)) | (~car(honda)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~drives(spaniard, honda)) | (~drives(english, honda)) | (~car(honda)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2522,plain,
% 0.73/0.83 ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | ((~drives(spaniard, honda)) | (~drives(english, honda)) | (~car(honda)))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2523,plain,
% 0.73/0.83 ((~![H: $i] : ((~drives(spaniard, H)) | (~drives(english, H)) | (~car(H)))) | (~drives(spaniard, honda)) | (~drives(english, honda)) | (~car(honda))),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2522, 2521])).
% 0.73/0.83 tff(2524,plain,
% 0.73/0.83 ((~drives(spaniard, honda)) | (~drives(english, honda))),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2523, 1856, 1869])).
% 0.73/0.83 tff(2525,plain,
% 0.73/0.83 ($false),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2524, 2520, 2517])).
% 0.73/0.83 tff(2526,plain,((~drives(ukranian, saab)) | drives(english, masserati) | drives(english, porsche) | drives(spaniard, masserati)), inference(lemma,lemma(discharge,[]))).
% 0.73/0.83 tff(2527,plain,
% 0.73/0.83 (drives(english, porsche)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2526, 2508, 2378, 2422])).
% 0.73/0.83 tff(2528,plain,
% 0.73/0.83 (((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | (owns(english, snails) | (~drives(english, porsche)) | (~person(english)))) <=> ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | owns(english, snails) | (~drives(english, porsche)) | (~person(english)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2529,plain,
% 0.73/0.83 (((~person(english)) | owns(english, snails) | (~drives(english, porsche))) <=> (owns(english, snails) | (~drives(english, porsche)) | (~person(english)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2530,plain,
% 0.73/0.83 (((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(english)) | owns(english, snails) | (~drives(english, porsche)))) <=> ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | (owns(english, snails) | (~drives(english, porsche)) | (~person(english))))),
% 0.73/0.83 inference(monotonicity,[status(thm)],[2529])).
% 0.73/0.83 tff(2531,plain,
% 0.73/0.83 (((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(english)) | owns(english, snails) | (~drives(english, porsche)))) <=> ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | owns(english, snails) | (~drives(english, porsche)) | (~person(english)))),
% 0.73/0.83 inference(transitivity,[status(thm)],[2530, 2528])).
% 0.73/0.83 tff(2532,plain,
% 0.73/0.83 ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | ((~person(english)) | owns(english, snails) | (~drives(english, porsche)))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2533,plain,
% 0.73/0.83 ((~![P: $i] : ((~person(P)) | owns(P, snails) | (~drives(P, porsche)))) | owns(english, snails) | (~drives(english, porsche)) | (~person(english))),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2532, 2531])).
% 0.73/0.83 tff(2534,plain,
% 0.73/0.83 (owns(english, snails) | (~drives(english, porsche))),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2533, 35, 1691])).
% 0.73/0.83 tff(2535,plain,
% 0.73/0.83 (owns(english, snails)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2534, 2527])).
% 0.73/0.83 tff(2536,plain,
% 0.73/0.83 (~owns(ukranian, snails)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2067, 2535])).
% 0.73/0.83 tff(2537,plain,
% 0.73/0.83 (((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | ((~car(saab)) | (~drives(norwegian, saab)) | (~drives(ukranian, saab)))) <=> ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | (~car(saab)) | (~drives(norwegian, saab)) | (~drives(ukranian, saab)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2538,plain,
% 0.73/0.83 ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | ((~car(saab)) | (~drives(norwegian, saab)) | (~drives(ukranian, saab)))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2539,plain,
% 0.73/0.83 ((~![H: $i] : ((~car(H)) | (~drives(norwegian, H)) | (~drives(ukranian, H)))) | (~car(saab)) | (~drives(norwegian, saab)) | (~drives(ukranian, saab))),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 0.73/0.83 tff(2540,plain,
% 0.73/0.83 ((~drives(norwegian, saab)) | (~drives(ukranian, saab))),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2539, 1929, 1742])).
% 0.73/0.83 tff(2541,plain,
% 0.73/0.83 (~drives(norwegian, saab)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2540, 2508])).
% 0.73/0.83 tff(2542,plain,
% 0.73/0.83 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, porsche)) | (~drives(norwegian, porsche)) | (~car(porsche)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(english, porsche)) | (~drives(norwegian, porsche)) | (~car(porsche)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2543,plain,
% 0.73/0.83 (((~drives(english, porsche)) | (~car(porsche)) | (~drives(norwegian, porsche))) <=> ((~drives(english, porsche)) | (~drives(norwegian, porsche)) | (~car(porsche)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2544,plain,
% 0.73/0.83 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, porsche)) | (~car(porsche)) | (~drives(norwegian, porsche)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, porsche)) | (~drives(norwegian, porsche)) | (~car(porsche))))),
% 0.73/0.83 inference(monotonicity,[status(thm)],[2543])).
% 0.73/0.83 tff(2545,plain,
% 0.73/0.83 (((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, porsche)) | (~car(porsche)) | (~drives(norwegian, porsche)))) <=> ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(english, porsche)) | (~drives(norwegian, porsche)) | (~car(porsche)))),
% 0.73/0.83 inference(transitivity,[status(thm)],[2544, 2542])).
% 0.73/0.83 tff(2546,plain,
% 0.73/0.83 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(english, porsche)) | (~car(porsche)) | (~drives(norwegian, porsche)))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2547,plain,
% 0.73/0.83 ((~![H: $i] : ((~drives(english, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(english, porsche)) | (~drives(norwegian, porsche)) | (~car(porsche))),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 0.73/0.83 tff(2548,plain,
% 0.73/0.83 ((~drives(english, porsche)) | (~drives(norwegian, porsche))),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2547, 1879, 1792])).
% 0.73/0.83 tff(2549,plain,
% 0.73/0.83 (~drives(norwegian, porsche)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2548, 2527])).
% 0.73/0.83 tff(2550,plain,
% 0.73/0.83 (drives(norwegian, masserati)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1959, 2549, 2455, 2541])).
% 0.73/0.83 tff(2551,plain,
% 0.73/0.83 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2552,plain,
% 0.73/0.83 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~person(ukranian)) | next_to(house_1, house_4) | (~owns(ukranian, horse))) <=> ((~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2553,plain,
% 0.73/0.83 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~person(ukranian)) | next_to(house_1, house_4) | (~owns(ukranian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4)))),
% 0.73/0.83 inference(monotonicity,[status(thm)],[2552])).
% 0.73/0.83 tff(2554,plain,
% 0.73/0.83 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~person(ukranian)) | next_to(house_1, house_4) | (~owns(ukranian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(transitivity,[status(thm)],[2553, 2551])).
% 0.73/0.83 tff(2555,plain,
% 0.73/0.83 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~person(ukranian)) | next_to(house_1, house_4) | (~owns(ukranian, horse)))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2556,plain,
% 0.73/0.83 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4)),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 0.73/0.83 tff(2557,plain,
% 0.73/0.83 (~owns(ukranian, horse)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2556, 607, 1280, 63, 96, 154, 1990, 2550, 2170, 2147])).
% 0.73/0.83 tff(2558,plain,
% 0.73/0.83 (owns(ukranian, zebra)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1516, 2557, 2536, 2515])).
% 0.73/0.83 tff(2559,plain,
% 0.73/0.83 (~owns(norwegian, horse)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1998, 2550])).
% 0.73/0.83 tff(2560,plain,
% 0.73/0.83 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(norwegian, snails)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(norwegian, snails)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2561,plain,
% 0.73/0.83 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(norwegian, snails)))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2562,plain,
% 0.73/0.83 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(norwegian, H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(norwegian, snails))),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2561, 2560])).
% 0.73/0.83 tff(2563,plain,
% 0.73/0.83 ((~owns(english, snails)) | (~owns(norwegian, snails))),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2562, 1465, 1289])).
% 0.73/0.83 tff(2564,plain,
% 0.73/0.83 (~owns(norwegian, snails)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2563, 2535])).
% 0.73/0.83 tff(2565,plain,
% 0.73/0.83 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2566,plain,
% 0.73/0.83 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_4)) <=> ((~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2567,plain,
% 0.73/0.83 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4)))),
% 0.73/0.83 inference(monotonicity,[status(thm)],[2566])).
% 0.73/0.83 tff(2568,plain,
% 0.73/0.83 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_4))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(transitivity,[status(thm)],[2567, 2565])).
% 0.73/0.83 tff(2569,plain,
% 0.73/0.83 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_4)) | (~house(house_4)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_4))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2570,plain,
% 0.73/0.83 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_4)) | (~lives(ukranian, house_4)) | next_to(house_1, house_4)),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2569, 2568])).
% 0.73/0.83 tff(2571,plain,
% 0.73/0.83 (~owns(norwegian, fox)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2570, 607, 1280, 63, 96, 154, 2043, 2508, 2170, 2147])).
% 0.73/0.83 tff(2572,plain,
% 0.73/0.83 (owns(norwegian, zebra)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1485, 2571, 2564, 2559])).
% 0.73/0.83 tff(2573,plain,
% 0.73/0.83 ($false),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[1503, 2572, 2558])).
% 0.73/0.83 tff(2574,plain,((~lives(ukranian, house_4)) | (~drives(ukranian, saab))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.83 tff(2575,plain,
% 0.73/0.83 (~lives(ukranian, house_4)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2574, 2497])).
% 0.73/0.83 tff(2576,assumption,(lives(ukranian, house_5)), introduced(assumption)).
% 0.73/0.83 tff(2577,plain,
% 0.73/0.83 ((~left_of(house_5, house_5)) <=> (~left_of(house_5, house_5))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2578,axiom,(~left_of(house_5, house_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_5_not_left_of_house_5')).
% 0.73/0.83 tff(2579,plain,
% 0.73/0.83 (~left_of(house_5, house_5)),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2578, 2577])).
% 0.73/0.83 tff(2580,plain,
% 0.73/0.83 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_5, house_5) | (~next_to(house_5, house_5)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_5) | (~next_to(house_5, house_5)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2581,plain,
% 0.73/0.83 (((~next_to(house_5, house_5)) | left_of(house_5, house_5) | left_of(house_5, house_5)) <=> (left_of(house_5, house_5) | (~next_to(house_5, house_5)))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2582,plain,
% 0.73/0.83 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_5)) | left_of(house_5, house_5) | left_of(house_5, house_5))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_5, house_5) | (~next_to(house_5, house_5))))),
% 0.73/0.83 inference(monotonicity,[status(thm)],[2581])).
% 0.73/0.83 tff(2583,plain,
% 0.73/0.83 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_5)) | left_of(house_5, house_5) | left_of(house_5, house_5))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_5) | (~next_to(house_5, house_5)))),
% 0.73/0.83 inference(transitivity,[status(thm)],[2582, 2580])).
% 0.73/0.83 tff(2584,plain,
% 0.73/0.83 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_5)) | left_of(house_5, house_5) | left_of(house_5, house_5))),
% 0.73/0.83 inference(quant_inst,[status(thm)],[])).
% 0.73/0.83 tff(2585,plain,
% 0.73/0.83 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_5) | (~next_to(house_5, house_5))),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 0.73/0.83 tff(2586,plain,
% 0.73/0.83 (~next_to(house_5, house_5)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2585, 1973, 2579])).
% 0.73/0.83 tff(2587,plain,
% 0.73/0.83 (~lives(ukranian, house_4)),
% 0.73/0.83 inference(unit_resolution,[status(thm)],[2574, 2508])).
% 0.73/0.83 tff(2588,assumption,(owns(ukranian, fox)), introduced(assumption)).
% 0.73/0.83 tff(2589,plain,
% 0.73/0.83 ((~left_of(house_2, house_2)) <=> (~left_of(house_2, house_2))),
% 0.73/0.83 inference(rewrite,[status(thm)],[])).
% 0.73/0.83 tff(2590,axiom,(~left_of(house_2, house_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_2_not_left_of_house_2')).
% 0.73/0.83 tff(2591,plain,
% 0.73/0.83 (~left_of(house_2, house_2)),
% 0.73/0.83 inference(modus_ponens,[status(thm)],[2590, 2589])).
% 0.73/0.83 tff(2592,plain,
% 0.73/0.83 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_2, house_2) | (~next_to(house_2, house_2)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_2, house_2) | (~next_to(house_2, house_2)))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2593,plain,
% 0.73/0.84 (((~next_to(house_2, house_2)) | left_of(house_2, house_2) | left_of(house_2, house_2)) <=> (left_of(house_2, house_2) | (~next_to(house_2, house_2)))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2594,plain,
% 0.73/0.84 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_2, house_2)) | left_of(house_2, house_2) | left_of(house_2, house_2))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_2, house_2) | (~next_to(house_2, house_2))))),
% 0.73/0.84 inference(monotonicity,[status(thm)],[2593])).
% 0.73/0.84 tff(2595,plain,
% 0.73/0.84 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_2, house_2)) | left_of(house_2, house_2) | left_of(house_2, house_2))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_2, house_2) | (~next_to(house_2, house_2)))),
% 0.73/0.84 inference(transitivity,[status(thm)],[2594, 2592])).
% 0.73/0.84 tff(2596,plain,
% 0.73/0.84 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_2, house_2)) | left_of(house_2, house_2) | left_of(house_2, house_2))),
% 0.73/0.84 inference(quant_inst,[status(thm)],[])).
% 0.73/0.84 tff(2597,plain,
% 0.73/0.84 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_2, house_2) | (~next_to(house_2, house_2))),
% 0.73/0.84 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 0.73/0.84 tff(2598,plain,
% 0.73/0.84 (~next_to(house_2, house_2)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2597, 1973, 2591])).
% 0.73/0.84 tff(2599,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2600,plain,
% 0.73/0.84 (((~house(house_2)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_2, house_2)) <=> ((~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2601,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_2)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | (~owns(ukranian, fox)) | next_to(house_2, house_2)))),
% 0.73/0.84 inference(monotonicity,[status(thm)],[2600])).
% 0.73/0.84 tff(2602,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_2)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))),
% 0.73/0.84 inference(transitivity,[status(thm)],[2601, 2599])).
% 0.73/0.84 tff(2603,plain,
% 0.73/0.84 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_2)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_2, house_2))),
% 0.73/0.84 inference(quant_inst,[status(thm)],[])).
% 0.73/0.84 tff(2604,plain,
% 0.73/0.84 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~person(ukranian)) | (~house(house_2)) | (~owns(ukranian, fox)) | next_to(house_2, house_2)),
% 0.73/0.84 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 0.73/0.84 tff(2605,plain,
% 0.73/0.84 ($false),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2604, 1280, 146, 2043, 2508, 2196, 2588, 2598])).
% 0.73/0.84 tff(2606,plain,((~lives(ukranian, house_2)) | (~drives(ukranian, saab)) | (~owns(ukranian, fox))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.84 tff(2607,plain,
% 0.73/0.84 (~lives(ukranian, house_2)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2606, 2588, 2508])).
% 0.73/0.84 tff(2608,plain,
% 0.73/0.84 (lives(ukranian, house_5)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2226, 2607, 2393, 2587])).
% 0.73/0.84 tff(2609,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2610,plain,
% 0.73/0.84 (((~house(house_5)) | (~lives(ukranian, house_5)) | (~person(ukranian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_5, house_5)) <=> ((~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2611,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(ukranian, house_5)) | (~person(ukranian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | (~owns(ukranian, fox)) | next_to(house_5, house_5)))),
% 0.73/0.84 inference(monotonicity,[status(thm)],[2610])).
% 0.73/0.84 tff(2612,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(ukranian, house_5)) | (~person(ukranian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))),
% 0.73/0.84 inference(transitivity,[status(thm)],[2611, 2609])).
% 0.73/0.84 tff(2613,plain,
% 0.73/0.84 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(ukranian, house_5)) | (~person(ukranian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(ukranian, fox)) | next_to(house_5, house_5))),
% 0.73/0.84 inference(quant_inst,[status(thm)],[])).
% 0.73/0.84 tff(2614,plain,
% 0.73/0.84 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | (~owns(ukranian, fox)) | next_to(house_5, house_5)),
% 0.73/0.84 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 0.73/0.84 tff(2615,plain,
% 0.73/0.84 ($false),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2614, 1280, 60, 2043, 2508, 2588, 2608, 2586])).
% 0.73/0.84 tff(2616,plain,((~owns(ukranian, fox)) | (~drives(ukranian, saab))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.84 tff(2617,plain,
% 0.73/0.84 (~owns(ukranian, fox)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2616, 2508])).
% 0.73/0.84 tff(2618,assumption,(drives(norwegian, masserati)), introduced(assumption)).
% 0.73/0.84 tff(2619,assumption,(owns(ukranian, horse)), introduced(assumption)).
% 0.73/0.84 tff(2620,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2621,plain,
% 0.73/0.84 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~person(ukranian)) | next_to(house_1, house_5) | (~owns(ukranian, horse))) <=> ((~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2622,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~person(ukranian)) | next_to(house_1, house_5) | (~owns(ukranian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5)))),
% 0.73/0.84 inference(monotonicity,[status(thm)],[2621])).
% 0.73/0.84 tff(2623,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~person(ukranian)) | next_to(house_1, house_5) | (~owns(ukranian, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))),
% 0.73/0.84 inference(transitivity,[status(thm)],[2622, 2620])).
% 0.73/0.84 tff(2624,plain,
% 0.73/0.84 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~person(ukranian)) | next_to(house_1, house_5) | (~owns(ukranian, horse)))),
% 0.73/0.84 inference(quant_inst,[status(thm)],[])).
% 0.73/0.84 tff(2625,plain,
% 0.73/0.84 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5)),
% 0.73/0.84 inference(modus_ponens,[status(thm)],[2624, 2623])).
% 0.73/0.84 tff(2626,plain,
% 0.73/0.84 ($false),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2625, 607, 1280, 63, 60, 154, 1990, 2619, 2618, 2576, 2055])).
% 0.73/0.84 tff(2627,plain,((~lives(ukranian, house_5)) | (~owns(ukranian, horse)) | (~drives(norwegian, masserati))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.84 tff(2628,plain,
% 0.73/0.84 (~owns(ukranian, horse)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[2627, 2576, 2550])).
% 0.73/0.84 tff(2629,plain,
% 0.73/0.84 (owns(ukranian, zebra)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[1516, 2628, 2536, 2617])).
% 0.73/0.84 tff(2630,plain,
% 0.73/0.84 (~owns(norwegian, zebra)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[1503, 2629])).
% 0.73/0.84 tff(2631,plain,
% 0.73/0.84 (owns(norwegian, fox)),
% 0.73/0.84 inference(unit_resolution,[status(thm)],[1485, 2630, 2564, 2559])).
% 0.73/0.84 tff(2632,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2633,plain,
% 0.73/0.84 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_5)) <=> ((~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))),
% 0.73/0.84 inference(rewrite,[status(thm)],[])).
% 0.73/0.84 tff(2634,plain,
% 0.73/0.84 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5)))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2633])).
% 0.73/0.85 tff(2635,plain,
% 0.73/0.85 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2634, 2632])).
% 0.73/0.85 tff(2636,plain,
% 0.73/0.85 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~person(norwegian)) | (~lives(ukranian, house_5)) | (~house(house_5)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(norwegian, fox)) | next_to(house_1, house_5))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2637,plain,
% 0.73/0.85 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~owns(norwegian, fox)) | (~drives(ukranian, saab)) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~person(norwegian)) | (~person(ukranian)) | (~house(house_5)) | (~lives(ukranian, house_5)) | next_to(house_1, house_5)),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 0.73/0.85 tff(2638,plain,
% 0.73/0.85 ($false),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2637, 607, 1280, 63, 60, 154, 2043, 2631, 2508, 2576, 2055])).
% 0.73/0.85 tff(2639,plain,((~lives(ukranian, house_5)) | (~drives(ukranian, saab))), inference(lemma,lemma(discharge,[]))).
% 0.73/0.85 tff(2640,plain,
% 0.73/0.85 (~lives(ukranian, house_5)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2639, 2497])).
% 0.73/0.85 tff(2641,plain,
% 0.73/0.85 (lives(ukranian, house_2)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2226, 2640, 2393, 2575])).
% 0.73/0.85 tff(2642,plain,
% 0.73/0.85 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(spaniard, house_2)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(spaniard, house_2)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2643,plain,
% 0.73/0.85 (((~lives(spaniard, house_2)) | (~house(house_2)) | (~lives(ukranian, house_2))) <=> ((~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(spaniard, house_2)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2644,plain,
% 0.73/0.85 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(spaniard, house_2)) | (~house(house_2)) | (~lives(ukranian, house_2)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(spaniard, house_2))))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2643])).
% 0.73/0.85 tff(2645,plain,
% 0.73/0.85 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(spaniard, house_2)) | (~house(house_2)) | (~lives(ukranian, house_2)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(spaniard, house_2)))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2644, 2642])).
% 0.73/0.85 tff(2646,plain,
% 0.73/0.85 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | ((~lives(spaniard, house_2)) | (~house(house_2)) | (~lives(ukranian, house_2)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2647,plain,
% 0.73/0.85 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(ukranian, H)))) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(spaniard, house_2))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 0.73/0.85 tff(2648,plain,
% 0.73/0.85 ((~lives(ukranian, house_2)) | (~lives(spaniard, house_2))),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2647, 2237, 146])).
% 0.73/0.85 tff(2649,plain,
% 0.73/0.85 (~lives(spaniard, house_2)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2648, 2641])).
% 0.73/0.85 tff(2650,plain,
% 0.73/0.85 (~lives(japanese, house_3)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[933, 2366])).
% 0.73/0.85 tff(2651,assumption,(lives(japanese, house_4)), introduced(assumption)).
% 0.73/0.85 tff(2652,plain,
% 0.73/0.85 (~drinks(japanese, orange)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[786, 2429])).
% 0.73/0.85 tff(2653,plain,
% 0.73/0.85 (~drinks(japanese, milk)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[918, 2650])).
% 0.73/0.85 tff(2654,plain,
% 0.73/0.85 (drinks(norwegian, water)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2315, 2450])).
% 0.73/0.85 tff(2655,plain,
% 0.73/0.85 (~drinks(japanese, water)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[871, 2654])).
% 0.73/0.85 tff(2656,plain,
% 0.73/0.85 (drinks(japanese, coffee)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[843, 2655, 2653, 2652])).
% 0.73/0.85 tff(2657,plain,
% 0.73/0.85 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~drinks(japanese, coffee)) | (~person(japanese)) | (~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~drinks(japanese, coffee)) | (~person(japanese)) | (~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2658,plain,
% 0.73/0.85 (((~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)) | (~person(japanese)) | (~drinks(japanese, coffee))) <=> ((~drinks(japanese, coffee)) | (~person(japanese)) | (~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2659,plain,
% 0.73/0.85 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)) | (~person(japanese)) | (~drinks(japanese, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~drinks(japanese, coffee)) | (~person(japanese)) | (~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4))))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2658])).
% 0.73/0.85 tff(2660,plain,
% 0.73/0.85 (((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)) | (~person(japanese)) | (~drinks(japanese, coffee)))) <=> ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~drinks(japanese, coffee)) | (~person(japanese)) | (~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2659, 2657])).
% 0.73/0.85 tff(2661,plain,
% 0.73/0.85 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | ((~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4)) | (~person(japanese)) | (~drinks(japanese, coffee)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2662,plain,
% 0.73/0.85 ((~![P: $i, H: $i] : ((~house(H)) | is_color(H, green) | (~lives(P, H)) | (~person(P)) | (~drinks(P, coffee)))) | (~drinks(japanese, coffee)) | (~person(japanese)) | (~house(house_4)) | is_color(house_4, green) | (~lives(japanese, house_4))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 0.73/0.85 tff(2663,plain,
% 0.73/0.85 ($false),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2662, 835, 96, 577, 2656, 2651, 2360])).
% 0.73/0.85 tff(2664,plain,(~lives(japanese, house_4)), inference(lemma,lemma(discharge,[]))).
% 0.73/0.85 tff(2665,plain,
% 0.73/0.85 (((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(japanese, house_2)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(japanese, house_2)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2666,plain,
% 0.73/0.85 (((~house(house_2)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_2))) <=> ((~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(japanese, house_2)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2667,plain,
% 0.73/0.85 (((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~house(house_2)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_2)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(japanese, house_2))))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2666])).
% 0.73/0.85 tff(2668,plain,
% 0.73/0.85 (((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~house(house_2)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_2)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(japanese, house_2)))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2667, 2665])).
% 0.73/0.85 tff(2669,plain,
% 0.73/0.85 ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | ((~house(house_2)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_2)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2670,plain,
% 0.73/0.85 ((~![H: $i] : ((~house(H)) | (~lives(ukranian, H)) | (~lives(japanese, H)))) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~lives(japanese, house_2))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2669, 2668])).
% 0.73/0.85 tff(2671,plain,
% 0.73/0.85 ((~lives(ukranian, house_2)) | (~lives(japanese, house_2))),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2670, 2258, 146])).
% 0.73/0.85 tff(2672,plain,
% 0.73/0.85 (~lives(japanese, house_2)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2671, 2641])).
% 0.73/0.85 tff(2673,plain,
% 0.73/0.85 (^[H: $i] : refl(((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H))) <=> ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H))))),
% 0.73/0.85 inference(bind,[status(th)],[])).
% 0.73/0.85 tff(2674,plain,
% 0.73/0.85 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(quant_intro,[status(thm)],[2673])).
% 0.73/0.85 tff(2675,plain,
% 0.73/0.85 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H))) <=> ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2676,plain,
% 0.73/0.85 (^[H: $i] : rewrite((((~house(H)) | (~lives(norwegian, H))) | (~lives(japanese, H))) <=> ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H))))),
% 0.73/0.85 inference(bind,[status(th)],[])).
% 0.73/0.85 tff(2677,plain,
% 0.73/0.85 (![H: $i] : (((~house(H)) | (~lives(norwegian, H))) | (~lives(japanese, H))) <=> ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(quant_intro,[status(thm)],[2676])).
% 0.73/0.85 tff(2678,axiom,(![H: $i] : (((~house(H)) | (~lives(norwegian, H))) | (~lives(japanese, H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','norwegian_and_japanese_live_apart')).
% 0.73/0.85 tff(2679,plain,
% 0.73/0.85 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 0.73/0.85 tff(2680,plain,
% 0.73/0.85 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2679, 2675])).
% 0.73/0.85 tff(2681,plain,(
% 0.73/0.85 ![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(skolemize,[status(sab)],[2680])).
% 0.73/0.85 tff(2682,plain,
% 0.73/0.85 (![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2681, 2674])).
% 0.73/0.85 tff(2683,plain,
% 0.73/0.85 (((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(japanese, house_1)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(japanese, house_1)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2684,plain,
% 0.73/0.85 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_1))) <=> ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(japanese, house_1)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2685,plain,
% 0.73/0.85 (((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_1)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | ((~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(japanese, house_1))))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2684])).
% 0.73/0.85 tff(2686,plain,
% 0.73/0.85 (((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_1)))) <=> ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(japanese, house_1)))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2685, 2683])).
% 0.73/0.85 tff(2687,plain,
% 0.73/0.85 ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_1)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2688,plain,
% 0.73/0.85 ((~![H: $i] : ((~house(H)) | (~lives(norwegian, H)) | (~lives(japanese, H)))) | (~lives(norwegian, house_1)) | (~house(house_1)) | (~lives(japanese, house_1))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2687, 2686])).
% 0.73/0.85 tff(2689,plain,
% 0.73/0.85 (~lives(japanese, house_1)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2688, 2682, 63, 154])).
% 0.73/0.85 tff(2690,plain,
% 0.73/0.85 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(japanese, house_5) | lives(japanese, house_1) | lives(japanese, house_3) | (~person(japanese)) | lives(japanese, house_4) | lives(japanese, house_2))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(japanese, house_5) | lives(japanese, house_1) | lives(japanese, house_3) | (~person(japanese)) | lives(japanese, house_4) | lives(japanese, house_2))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2691,plain,
% 0.73/0.85 ((lives(japanese, house_5) | lives(japanese, house_4) | lives(japanese, house_3) | lives(japanese, house_2) | lives(japanese, house_1) | (~person(japanese))) <=> (lives(japanese, house_5) | lives(japanese, house_1) | lives(japanese, house_3) | (~person(japanese)) | lives(japanese, house_4) | lives(japanese, house_2))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2692,plain,
% 0.73/0.85 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(japanese, house_5) | lives(japanese, house_4) | lives(japanese, house_3) | lives(japanese, house_2) | lives(japanese, house_1) | (~person(japanese)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(japanese, house_5) | lives(japanese, house_1) | lives(japanese, house_3) | (~person(japanese)) | lives(japanese, house_4) | lives(japanese, house_2)))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2691])).
% 0.73/0.85 tff(2693,plain,
% 0.73/0.85 (((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(japanese, house_5) | lives(japanese, house_4) | lives(japanese, house_3) | lives(japanese, house_2) | lives(japanese, house_1) | (~person(japanese)))) <=> ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(japanese, house_5) | lives(japanese, house_1) | lives(japanese, house_3) | (~person(japanese)) | lives(japanese, house_4) | lives(japanese, house_2))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2692, 2690])).
% 0.73/0.85 tff(2694,plain,
% 0.73/0.85 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | (lives(japanese, house_5) | lives(japanese, house_4) | lives(japanese, house_3) | lives(japanese, house_2) | lives(japanese, house_1) | (~person(japanese)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2695,plain,
% 0.73/0.85 ((~![Person: $i] : (lives(Person, house_5) | lives(Person, house_4) | lives(Person, house_3) | lives(Person, house_2) | lives(Person, house_1) | (~person(Person)))) | lives(japanese, house_5) | lives(japanese, house_1) | lives(japanese, house_3) | (~person(japanese)) | lives(japanese, house_4) | lives(japanese, house_2)),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 0.73/0.85 tff(2696,plain,
% 0.73/0.85 (lives(japanese, house_5) | lives(japanese, house_3) | lives(japanese, house_4) | lives(japanese, house_2)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2695, 181, 835, 2689])).
% 0.73/0.85 tff(2697,plain,
% 0.73/0.85 (lives(japanese, house_5)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2696, 2672, 2664, 2650])).
% 0.73/0.85 tff(2698,plain,
% 0.73/0.85 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(japanese, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | (~lives(japanese, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2699,plain,
% 0.73/0.85 (((~lives(spaniard, house_5)) | (~house(house_5)) | (~lives(japanese, house_5))) <=> ((~lives(japanese, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2700,plain,
% 0.73/0.85 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(spaniard, house_5)) | (~house(house_5)) | (~lives(japanese, house_5)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(japanese, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5))))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2699])).
% 0.73/0.85 tff(2701,plain,
% 0.73/0.85 (((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(spaniard, house_5)) | (~house(house_5)) | (~lives(japanese, house_5)))) <=> ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | (~lives(japanese, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5)))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2700, 2698])).
% 0.73/0.85 tff(2702,plain,
% 0.73/0.85 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | ((~lives(spaniard, house_5)) | (~house(house_5)) | (~lives(japanese, house_5)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2703,plain,
% 0.73/0.85 ((~![H: $i] : ((~lives(spaniard, H)) | (~house(H)) | (~lives(japanese, H)))) | (~lives(japanese, house_5)) | (~house(house_5)) | (~lives(spaniard, house_5))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 0.73/0.85 tff(2704,plain,
% 0.73/0.85 ((~lives(japanese, house_5)) | (~lives(spaniard, house_5))),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2703, 2104, 60])).
% 0.73/0.85 tff(2705,plain,
% 0.73/0.85 (~lives(spaniard, house_5)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2704, 2697])).
% 0.73/0.85 tff(2706,plain,
% 0.73/0.85 (lives(spaniard, house_4)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1108, 2705, 2649, 2367])).
% 0.73/0.85 tff(2707,plain,
% 0.73/0.85 (drives(spaniard, masserati)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1865, 1789, 1170, 1802, 1788])).
% 0.73/0.85 tff(2708,plain,
% 0.73/0.85 (car(masserati) <=> car(masserati)),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2709,axiom,(car(masserati)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','masserati')).
% 0.73/0.85 tff(2710,plain,
% 0.73/0.85 (car(masserati)),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2709, 2708])).
% 0.73/0.85 tff(2711,plain,
% 0.73/0.85 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(norwegian, masserati)) | (~car(masserati)) | (~drives(spaniard, masserati)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, masserati)) | (~car(masserati)) | (~drives(spaniard, masserati)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2712,plain,
% 0.73/0.85 (((~drives(spaniard, masserati)) | (~car(masserati)) | (~drives(norwegian, masserati))) <=> ((~drives(norwegian, masserati)) | (~car(masserati)) | (~drives(spaniard, masserati)))),
% 0.73/0.85 inference(rewrite,[status(thm)],[])).
% 0.73/0.85 tff(2713,plain,
% 0.73/0.85 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(spaniard, masserati)) | (~car(masserati)) | (~drives(norwegian, masserati)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(norwegian, masserati)) | (~car(masserati)) | (~drives(spaniard, masserati))))),
% 0.73/0.85 inference(monotonicity,[status(thm)],[2712])).
% 0.73/0.85 tff(2714,plain,
% 0.73/0.85 (((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(spaniard, masserati)) | (~car(masserati)) | (~drives(norwegian, masserati)))) <=> ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, masserati)) | (~car(masserati)) | (~drives(spaniard, masserati)))),
% 0.73/0.85 inference(transitivity,[status(thm)],[2713, 2711])).
% 0.73/0.85 tff(2715,plain,
% 0.73/0.85 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | ((~drives(spaniard, masserati)) | (~car(masserati)) | (~drives(norwegian, masserati)))),
% 0.73/0.85 inference(quant_inst,[status(thm)],[])).
% 0.73/0.85 tff(2716,plain,
% 0.73/0.85 ((~![H: $i] : ((~drives(spaniard, H)) | (~car(H)) | (~drives(norwegian, H)))) | (~drives(norwegian, masserati)) | (~car(masserati)) | (~drives(spaniard, masserati))),
% 0.73/0.85 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 0.73/0.85 tff(2717,plain,
% 0.73/0.85 ((~drives(norwegian, masserati)) | (~drives(spaniard, masserati))),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2716, 1899, 2710])).
% 0.73/0.85 tff(2718,plain,
% 0.73/0.85 (~drives(norwegian, masserati)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2717, 2707])).
% 0.73/0.85 tff(2719,plain,
% 0.73/0.85 (~drives(norwegian, saab)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2462, 1846])).
% 0.73/0.85 tff(2720,plain,
% 0.73/0.85 ($false),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1959, 2719, 2718, 2131, 2449])).
% 0.73/0.85 tff(2721,plain,((~drives(ukranian, porsche)) | drives(norwegian, honda) | drives(english, masserati) | drives(english, honda) | drives(spaniard, honda)), inference(lemma,lemma(discharge,[]))).
% 0.73/0.85 tff(2722,plain,
% 0.73/0.85 (~drives(ukranian, porsche)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2721, 1802, 1170, 2131, 1788])).
% 0.73/0.85 tff(2723,plain,
% 0.73/0.85 (drives(ukranian, saab)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1786, 2722, 1761, 2123])).
% 0.73/0.85 tff(2724,plain,
% 0.73/0.85 (~drives(norwegian, saab)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2540, 2723])).
% 0.73/0.85 tff(2725,plain,
% 0.73/0.85 (~drives(spaniard, saab)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1759, 2723])).
% 0.73/0.85 tff(2726,plain,
% 0.73/0.85 (drives(spaniard, masserati)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1738, 2725, 1788])).
% 0.73/0.85 tff(2727,plain,
% 0.73/0.85 (~drives(norwegian, masserati)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2717, 2726])).
% 0.73/0.85 tff(2728,plain,
% 0.73/0.85 (~drives(english, saab)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[2302, 2723])).
% 0.73/0.85 tff(2729,plain,
% 0.73/0.85 (drives(english, porsche)),
% 0.73/0.85 inference(unit_resolution,[status(thm)],[1845, 2728, 1170, 1802])).
% 0.73/0.85 tff(2730,plain,
% 0.73/0.85 (~drives(norwegian, porsche)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2548, 2729])).
% 0.77/0.86 tff(2731,plain,
% 0.77/0.86 ($false),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1959, 2730, 2727, 2131, 2724])).
% 0.77/0.86 tff(2732,plain,(drives(english, honda) | drives(norwegian, honda) | drives(english, masserati) | drives(spaniard, honda) | drives(ukranian, masserati) | drives(ukranian, honda)), inference(lemma,lemma(discharge,[]))).
% 0.77/0.86 tff(2733,plain,
% 0.77/0.86 (drives(spaniard, honda)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2732, 2437, 2415, 2422, 2455, 2435])).
% 0.77/0.86 tff(2734,plain,
% 0.77/0.86 (drives(english, porsche)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2526, 2497, 2378, 2422])).
% 0.77/0.86 tff(2735,plain,
% 0.77/0.86 (~drives(norwegian, saab)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2540, 2497])).
% 0.77/0.86 tff(2736,plain,
% 0.77/0.86 (~drives(norwegian, porsche)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2548, 2734])).
% 0.77/0.86 tff(2737,plain,
% 0.77/0.86 (drives(norwegian, masserati)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1959, 2736, 2455, 2735])).
% 0.77/0.86 tff(2738,plain,
% 0.77/0.86 (owns(english, snails)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2534, 2734])).
% 0.77/0.86 tff(2739,assumption,(owns(japanese, horse)), introduced(assumption)).
% 0.77/0.86 tff(2740,assumption,(lives(japanese, house_5)), introduced(assumption)).
% 0.77/0.86 tff(2741,plain,
% 0.77/0.86 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_5)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_5)) | (~owns(japanese, horse)) | next_to(house_1, house_5))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_5)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_5)) | (~owns(japanese, horse)) | next_to(house_1, house_5))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2742,plain,
% 0.77/0.86 (((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_5)) | (~house(house_5)) | (~person(japanese)) | next_to(house_1, house_5) | (~owns(japanese, horse))) <=> ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_5)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_5)) | (~owns(japanese, horse)) | next_to(house_1, house_5))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2743,plain,
% 0.77/0.86 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_5)) | (~house(house_5)) | (~person(japanese)) | next_to(house_1, house_5) | (~owns(japanese, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_5)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_5)) | (~owns(japanese, horse)) | next_to(house_1, house_5)))),
% 0.77/0.86 inference(monotonicity,[status(thm)],[2742])).
% 0.77/0.86 tff(2744,plain,
% 0.77/0.86 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_5)) | (~house(house_5)) | (~person(japanese)) | next_to(house_1, house_5) | (~owns(japanese, horse)))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_5)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_5)) | (~owns(japanese, horse)) | next_to(house_1, house_5))),
% 0.77/0.86 inference(transitivity,[status(thm)],[2743, 2741])).
% 0.77/0.86 tff(2745,plain,
% 0.77/0.86 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | ((~house(house_1)) | (~lives(norwegian, house_1)) | (~drives(norwegian, masserati)) | (~person(norwegian)) | (~lives(japanese, house_5)) | (~house(house_5)) | (~person(japanese)) | next_to(house_1, house_5) | (~owns(japanese, horse)))),
% 0.77/0.86 inference(quant_inst,[status(thm)],[])).
% 0.77/0.86 tff(2746,plain,
% 0.77/0.86 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~drives(Person_1, masserati)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~person(Person_2)) | next_to(House_1, House_2) | (~owns(Person_2, horse)))) | (~drives(norwegian, masserati)) | (~lives(norwegian, house_1)) | (~lives(japanese, house_5)) | (~house(house_1)) | (~person(norwegian)) | (~person(japanese)) | (~house(house_5)) | (~owns(japanese, horse)) | next_to(house_1, house_5)),
% 0.77/0.86 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 0.77/0.86 tff(2747,plain,
% 0.77/0.86 ($false),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2746, 607, 835, 63, 60, 154, 1990, 2618, 2740, 2739, 2055])).
% 0.77/0.86 tff(2748,plain,((~lives(japanese, house_5)) | (~drives(norwegian, masserati)) | (~owns(japanese, horse))), inference(lemma,lemma(discharge,[]))).
% 0.77/0.86 tff(2749,plain,
% 0.77/0.86 (~owns(japanese, horse)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2748, 2697, 2737])).
% 0.77/0.86 tff(2750,plain,
% 0.77/0.86 (((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(japanese, snails)))) <=> ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(japanese, snails)))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2751,plain,
% 0.77/0.86 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | ((~owns(english, snails)) | (~animal(snails)) | (~owns(japanese, snails)))),
% 0.77/0.86 inference(quant_inst,[status(thm)],[])).
% 0.77/0.86 tff(2752,plain,
% 0.77/0.86 ((~![H: $i] : ((~owns(english, H)) | (~animal(H)) | (~owns(japanese, H)))) | (~owns(english, snails)) | (~animal(snails)) | (~owns(japanese, snails))),
% 0.77/0.86 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 0.77/0.86 tff(2753,plain,
% 0.77/0.86 ((~owns(english, snails)) | (~owns(japanese, snails))),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2752, 1400, 1289])).
% 0.77/0.86 tff(2754,plain,
% 0.77/0.86 (~owns(japanese, snails)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2753, 2738])).
% 0.77/0.86 tff(2755,plain,
% 0.77/0.86 ((~left_of(house_2, house_5)) <=> (~left_of(house_2, house_5))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2756,axiom,(~left_of(house_2, house_5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_2_not_left_of_house_5')).
% 0.77/0.86 tff(2757,plain,
% 0.77/0.86 (~left_of(house_2, house_5)),
% 0.77/0.86 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 0.77/0.86 tff(2758,plain,
% 0.77/0.86 ((~left_of(house_5, house_2)) <=> (~left_of(house_5, house_2))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2759,axiom,(~left_of(house_5, house_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','house_5_not_left_of_house_2')).
% 0.77/0.86 tff(2760,plain,
% 0.77/0.86 (~left_of(house_5, house_2)),
% 0.77/0.86 inference(modus_ponens,[status(thm)],[2759, 2758])).
% 0.77/0.86 tff(2761,plain,
% 0.77/0.86 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_5, house_2) | left_of(house_2, house_5) | (~next_to(house_5, house_2)))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_2) | left_of(house_2, house_5) | (~next_to(house_5, house_2)))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2762,plain,
% 0.77/0.86 (((~next_to(house_5, house_2)) | left_of(house_5, house_2) | left_of(house_2, house_5)) <=> (left_of(house_5, house_2) | left_of(house_2, house_5) | (~next_to(house_5, house_2)))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2763,plain,
% 0.77/0.86 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_2)) | left_of(house_5, house_2) | left_of(house_2, house_5))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | (left_of(house_5, house_2) | left_of(house_2, house_5) | (~next_to(house_5, house_2))))),
% 0.77/0.86 inference(monotonicity,[status(thm)],[2762])).
% 0.77/0.86 tff(2764,plain,
% 0.77/0.86 (((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_2)) | left_of(house_5, house_2) | left_of(house_2, house_5))) <=> ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_2) | left_of(house_2, house_5) | (~next_to(house_5, house_2)))),
% 0.77/0.86 inference(transitivity,[status(thm)],[2763, 2761])).
% 0.77/0.86 tff(2765,plain,
% 0.77/0.86 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | ((~next_to(house_5, house_2)) | left_of(house_5, house_2) | left_of(house_2, house_5))),
% 0.77/0.86 inference(quant_inst,[status(thm)],[])).
% 0.77/0.86 tff(2766,plain,
% 0.77/0.86 ((~![Y: $i, X: $i] : ((~next_to(X, Y)) | left_of(X, Y) | left_of(Y, X))) | left_of(house_5, house_2) | left_of(house_2, house_5) | (~next_to(house_5, house_2))),
% 0.77/0.86 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 0.77/0.86 tff(2767,plain,
% 0.77/0.86 (~next_to(house_5, house_2)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2766, 1973, 2760, 2757])).
% 0.77/0.86 tff(2768,plain,
% 0.77/0.86 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~person(ukranian)) | (~person(japanese)) | (~house(house_2)) | (~house(house_5)) | (~owns(japanese, fox)) | next_to(house_5, house_2))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~person(ukranian)) | (~person(japanese)) | (~house(house_2)) | (~house(house_5)) | (~owns(japanese, fox)) | next_to(house_5, house_2))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2769,plain,
% 0.77/0.86 (((~house(house_5)) | (~lives(japanese, house_5)) | (~person(japanese)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(japanese, fox)) | next_to(house_5, house_2)) <=> ((~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~person(ukranian)) | (~person(japanese)) | (~house(house_2)) | (~house(house_5)) | (~owns(japanese, fox)) | next_to(house_5, house_2))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2770,plain,
% 0.77/0.86 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(japanese, house_5)) | (~person(japanese)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(japanese, fox)) | next_to(house_5, house_2))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~person(ukranian)) | (~person(japanese)) | (~house(house_2)) | (~house(house_5)) | (~owns(japanese, fox)) | next_to(house_5, house_2)))),
% 0.77/0.86 inference(monotonicity,[status(thm)],[2769])).
% 0.77/0.86 tff(2771,plain,
% 0.77/0.86 (((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(japanese, house_5)) | (~person(japanese)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(japanese, fox)) | next_to(house_5, house_2))) <=> ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~person(ukranian)) | (~person(japanese)) | (~house(house_2)) | (~house(house_5)) | (~owns(japanese, fox)) | next_to(house_5, house_2))),
% 0.77/0.86 inference(transitivity,[status(thm)],[2770, 2768])).
% 0.77/0.86 tff(2772,plain,
% 0.77/0.86 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | ((~house(house_5)) | (~lives(japanese, house_5)) | (~person(japanese)) | (~lives(ukranian, house_2)) | (~house(house_2)) | (~drives(ukranian, saab)) | (~person(ukranian)) | (~owns(japanese, fox)) | next_to(house_5, house_2))),
% 0.77/0.86 inference(quant_inst,[status(thm)],[])).
% 0.77/0.86 tff(2773,plain,
% 0.77/0.86 ((~![Person_2: $i, House_2: $i, Person_1: $i, House_1: $i] : ((~house(House_1)) | (~lives(Person_1, House_1)) | (~person(Person_1)) | (~lives(Person_2, House_2)) | (~house(House_2)) | (~drives(Person_2, saab)) | (~person(Person_2)) | (~owns(Person_1, fox)) | next_to(House_1, House_2))) | (~drives(ukranian, saab)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~person(ukranian)) | (~person(japanese)) | (~house(house_2)) | (~house(house_5)) | (~owns(japanese, fox)) | next_to(house_5, house_2)),
% 0.77/0.86 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 0.77/0.86 tff(2774,plain,
% 0.77/0.86 (~owns(japanese, fox)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2773, 1280, 835, 146, 60, 2043, 2497, 2641, 2697, 2767])).
% 0.77/0.86 tff(2775,plain,
% 0.77/0.86 (owns(japanese, zebra)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1436, 2774, 2754, 2749])).
% 0.77/0.86 tff(2776,plain,
% 0.77/0.86 (drinks(english, milk)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[966, 2429])).
% 0.77/0.86 tff(2777,plain,
% 0.77/0.86 (~owns(ukranian, fox)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2616, 2497])).
% 0.77/0.86 tff(2778,plain,
% 0.77/0.86 (~owns(ukranian, snails)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2067, 2738])).
% 0.77/0.86 tff(2779,plain,
% 0.77/0.86 (~owns(ukranian, zebra)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1647, 2775])).
% 0.77/0.86 tff(2780,plain,
% 0.77/0.86 (owns(ukranian, horse)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1516, 2779, 2778, 2777])).
% 0.77/0.86 tff(2781,plain,
% 0.77/0.86 (~owns(norwegian, horse)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1998, 2737])).
% 0.77/0.86 tff(2782,plain,
% 0.77/0.86 (~owns(norwegian, snails)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[2563, 2738])).
% 0.77/0.86 tff(2783,plain,
% 0.77/0.86 (~owns(norwegian, zebra)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1655, 2775])).
% 0.77/0.86 tff(2784,plain,
% 0.77/0.86 (owns(norwegian, fox)),
% 0.77/0.86 inference(unit_resolution,[status(thm)],[1485, 2783, 2782, 2781])).
% 0.77/0.86 tff(2785,plain,
% 0.77/0.86 (((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2786,plain,
% 0.77/0.86 (((~drinks(norwegian, water)) | $false | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | $false | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | $false | (~drives(english, porsche)) | (~drives(spaniard, honda)) | $false | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2787,plain,
% 0.77/0.86 ((~$true) <=> $false),
% 0.77/0.86 inference(rewrite,[status(thm)],[])).
% 0.77/0.86 tff(2788,plain,
% 0.77/0.86 (lives(norwegian, house_1) <=> $true),
% 0.77/0.86 inference(iff_true,[status(thm)],[153])).
% 0.77/0.86 tff(2789,plain,
% 0.77/0.86 ((~lives(norwegian, house_1)) <=> (~$true)),
% 0.77/0.86 inference(monotonicity,[status(thm)],[2788])).
% 0.77/0.86 tff(2790,plain,
% 0.77/0.86 ((~lives(norwegian, house_1)) <=> $false),
% 0.77/0.86 inference(transitivity,[status(thm)],[2789, 2787])).
% 0.77/0.86 tff(2791,plain,
% 0.77/0.86 (drives(japanese, jaguar) <=> $true),
% 0.77/0.86 inference(iff_true,[status(thm)],[1698])).
% 0.77/0.86 tff(2792,plain,
% 0.77/0.86 ((~drives(japanese, jaguar)) <=> (~$true)),
% 0.77/0.86 inference(monotonicity,[status(thm)],[2791])).
% 0.77/0.86 tff(2793,plain,
% 0.77/0.86 ((~drives(japanese, jaguar)) <=> $false),
% 0.77/0.86 inference(transitivity,[status(thm)],[2792, 2787])).
% 0.77/0.86 tff(2794,plain,
% 0.77/0.86 (owns(spaniard, dog) <=> $true),
% 0.77/0.86 inference(iff_true,[status(thm)],[1410])).
% 0.77/0.86 tff(2795,plain,
% 0.77/0.86 ((~owns(spaniard, dog)) <=> (~$true)),
% 0.77/0.86 inference(monotonicity,[status(thm)],[2794])).
% 0.77/0.87 tff(2796,plain,
% 0.77/0.87 ((~owns(spaniard, dog)) <=> $false),
% 0.77/0.87 inference(transitivity,[status(thm)],[2795, 2787])).
% 0.77/0.87 tff(2797,plain,
% 0.77/0.87 (drinks(ukranian, tea) <=> $true),
% 0.77/0.87 inference(iff_true,[status(thm)],[640])).
% 0.77/0.87 tff(2798,plain,
% 0.77/0.87 ((~drinks(ukranian, tea)) <=> (~$true)),
% 0.77/0.87 inference(monotonicity,[status(thm)],[2797])).
% 0.77/0.87 tff(2799,plain,
% 0.77/0.87 ((~drinks(ukranian, tea)) <=> $false),
% 0.77/0.87 inference(transitivity,[status(thm)],[2798, 2787])).
% 0.77/0.87 tff(2800,plain,
% 0.77/0.87 (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | $false | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | $false | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | $false | (~drives(english, porsche)) | (~drives(spaniard, honda)) | $false | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.87 inference(monotonicity,[status(thm)],[2799, 2796, 2793, 2790])).
% 0.77/0.87 tff(2801,plain,
% 0.77/0.87 (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.87 inference(transitivity,[status(thm)],[2800, 2786])).
% 0.77/0.87 tff(2802,plain,
% 0.77/0.87 (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2803,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory))) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2804,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red))) | (~is_color(house_4, ivory))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2805,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2806,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2807,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2808,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2809,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5))) | (~lives(english, house_3))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2810,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.87 tff(2811,plain,
% 0.77/0.87 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)))),
% 0.77/0.87 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2812,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2813,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche))) | (~drives(spaniard, honda))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2814,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2815,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2816,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2817,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2818,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails))) | (~owns(spaniard, dog))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2819,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra))) | (~owns(english, snails))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2820,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2821,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2822,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2823,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2824,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2825,plain,
% 0.77/0.88 ((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)))),
% 0.77/0.88 inference(rewrite,[status(thm)],[])).
% 0.77/0.88 tff(2826,plain,
% 0.77/0.88 (((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee))) | (~drinks(english, milk)))),
% 0.77/0.88 inference(monotonicity,[status(thm)],[2825])).
% 0.77/0.88 tff(2827,plain,
% 0.77/0.88 (((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)))),
% 0.77/0.88 inference(transitivity,[status(thm)],[2826, 2824])).
% 0.77/0.88 tff(2828,plain,
% 0.77/0.88 ((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk))) | (~drinks(spaniard, orange)))),
% 0.77/0.88 inference(monotonicity,[status(thm)],[2827])).
% 0.77/0.88 tff(2829,plain,
% 0.77/0.88 ((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)))),
% 0.77/0.88 inference(transitivity,[status(thm)],[2828, 2823])).
% 0.77/0.88 tff(2830,plain,
% 0.77/0.88 (((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox)))),
% 0.77/0.88 inference(monotonicity,[status(thm)],[2829])).
% 0.77/0.88 tff(2831,plain,
% 0.77/0.88 (((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)))),
% 0.77/0.88 inference(transitivity,[status(thm)],[2830, 2822])).
% 0.77/0.88 tff(2832,plain,
% 0.77/0.88 ((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox))) | (~owns(ukranian, horse)))),
% 0.77/0.88 inference(monotonicity,[status(thm)],[2831])).
% 0.77/0.88 tff(2833,plain,
% 0.77/0.88 ((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)))),
% 0.77/0.88 inference(transitivity,[status(thm)],[2832, 2821])).
% 0.77/0.88 tff(2834,plain,
% 0.77/0.88 (((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse))) | (~owns(japanese, zebra)))),
% 0.77/0.88 inference(monotonicity,[status(thm)],[2833])).
% 0.77/0.89 tff(2835,plain,
% 0.77/0.89 (((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2834, 2820])).
% 0.77/0.89 tff(2836,plain,
% 0.77/0.89 ((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra))) | (~owns(english, snails)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2835])).
% 0.77/0.89 tff(2837,plain,
% 0.77/0.89 ((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2836, 2819])).
% 0.77/0.89 tff(2838,plain,
% 0.77/0.89 (((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails))) | (~owns(spaniard, dog)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2837])).
% 0.77/0.89 tff(2839,plain,
% 0.77/0.89 (((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2838, 2818])).
% 0.77/0.89 tff(2840,plain,
% 0.77/0.89 ((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2839])).
% 0.77/0.89 tff(2841,plain,
% 0.77/0.89 ((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2840, 2817])).
% 0.77/0.89 tff(2842,plain,
% 0.77/0.89 (((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2841])).
% 0.77/0.89 tff(2843,plain,
% 0.77/0.89 (((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2842, 2816])).
% 0.77/0.89 tff(2844,plain,
% 0.77/0.89 ((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2843])).
% 0.77/0.89 tff(2845,plain,
% 0.77/0.89 ((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2844, 2815])).
% 0.77/0.89 tff(2846,plain,
% 0.77/0.89 (((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar))) | (~drives(english, porsche)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2845])).
% 0.77/0.89 tff(2847,plain,
% 0.77/0.89 (((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2846, 2814])).
% 0.77/0.89 tff(2848,plain,
% 0.77/0.89 ((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche))) | (~drives(spaniard, honda)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2847])).
% 0.77/0.89 tff(2849,plain,
% 0.77/0.89 ((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2848, 2813])).
% 0.77/0.89 tff(2850,plain,
% 0.77/0.89 (((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2849])).
% 0.77/0.89 tff(2851,plain,
% 0.77/0.89 (((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2850, 2812])).
% 0.77/0.89 tff(2852,plain,
% 0.77/0.89 ((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2)))),
% 0.77/0.89 inference(monotonicity,[status(thm)],[2851])).
% 0.77/0.89 tff(2853,plain,
% 0.77/0.89 ((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)))),
% 0.77/0.89 inference(transitivity,[status(thm)],[2852, 2811])).
% 0.77/0.89 tff(2854,plain,
% 0.77/0.89 (((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5)))),
% 0.77/0.90 inference(monotonicity,[status(thm)],[2853])).
% 0.77/0.90 tff(2855,plain,
% 0.77/0.90 (((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)))),
% 0.77/0.90 inference(transitivity,[status(thm)],[2854, 2810])).
% 0.77/0.90 tff(2856,plain,
% 0.77/0.90 ((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5))) | (~lives(english, house_3)))),
% 0.77/0.90 inference(monotonicity,[status(thm)],[2855])).
% 0.77/0.90 tff(2857,plain,
% 0.77/0.90 ((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)))),
% 0.77/0.90 inference(transitivity,[status(thm)],[2856, 2809])).
% 0.77/0.90 tff(2858,plain,
% 0.77/0.90 (((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3))) | (~lives(spaniard, house_4)))),
% 0.77/0.90 inference(monotonicity,[status(thm)],[2857])).
% 0.77/0.90 tff(2859,plain,
% 0.77/0.90 (((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)))),
% 0.77/0.90 inference(transitivity,[status(thm)],[2858, 2808])).
% 0.77/0.90 tff(2860,plain,
% 0.77/0.90 ((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow)))),
% 0.77/0.90 inference(monotonicity,[status(thm)],[2859])).
% 0.77/0.90 tff(2861,plain,
% 0.77/0.90 ((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)))),
% 0.77/0.90 inference(transitivity,[status(thm)],[2860, 2807])).
% 0.77/0.90 tff(2862,plain,
% 0.77/0.90 (((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue)))),
% 0.77/0.90 inference(monotonicity,[status(thm)],[2861])).
% 0.77/0.90 tff(2863,plain,
% 0.77/0.90 (((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)))),
% 0.77/0.90 inference(transitivity,[status(thm)],[2862, 2806])).
% 0.77/0.90 tff(2864,plain,
% 0.77/0.90 ((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue))) | (~is_color(house_3, red)))),
% 0.77/0.90 inference(monotonicity,[status(thm)],[2863])).
% 0.77/0.90 tff(2865,plain,
% 0.77/0.90 ((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)))),
% 0.77/0.90 inference(transitivity,[status(thm)],[2864, 2805])).
% 0.77/0.90 tff(2866,plain,
% 0.77/0.90 (((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) | (~is_color(house_4, ivory))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red))) | (~is_color(house_4, ivory)))),
% 0.77/0.91 inference(monotonicity,[status(thm)],[2865])).
% 0.77/0.91 tff(2867,plain,
% 0.77/0.91 (((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) | (~is_color(house_4, ivory))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)))),
% 0.77/0.91 inference(transitivity,[status(thm)],[2866, 2804])).
% 0.77/0.91 tff(2868,plain,
% 0.77/0.91 ((((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) | (~is_color(house_4, ivory))) | (~is_color(house_5, green))) <=> (((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory))) | (~is_color(house_5, green)))),
% 0.77/0.91 inference(monotonicity,[status(thm)],[2867])).
% 0.77/0.91 tff(2869,plain,
% 0.77/0.91 ((((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) | (~is_color(house_4, ivory))) | (~is_color(house_5, green))) <=> ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green)))),
% 0.77/0.91 inference(transitivity,[status(thm)],[2868, 2803])).
% 0.77/0.91 tff(2870,axiom,(((((((((((((((((((((((((~drinks(norwegian, water)) | (~drinks(ukranian, tea))) | (~drinks(japanese, coffee))) | (~drinks(english, milk))) | (~drinks(spaniard, orange))) | (~owns(norwegian, fox))) | (~owns(ukranian, horse))) | (~owns(japanese, zebra))) | (~owns(english, snails))) | (~owns(spaniard, dog))) | (~drives(norwegian, masserati))) | (~drives(ukranian, saab))) | (~drives(japanese, jaguar))) | (~drives(english, porsche))) | (~drives(spaniard, honda))) | (~lives(norwegian, house_1))) | (~lives(ukranian, house_2))) | (~lives(japanese, house_5))) | (~lives(english, house_3))) | (~lives(spaniard, house_4))) | (~is_color(house_1, yellow))) | (~is_color(house_2, blue))) | (~is_color(house_3, red))) | (~is_color(house_4, ivory))) | (~is_color(house_5, green))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_configuration')).
% 0.77/0.91 tff(2871,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 0.77/0.91 tff(2872,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(ukranian, tea)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~owns(spaniard, dog)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(japanese, jaguar)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(norwegian, house_1)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2871, 2802])).
% 0.77/0.91 tff(2873,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2872, 2801])).
% 0.77/0.91 tff(2874,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2873, 2785])).
% 0.77/0.91 tff(2875,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2874, 2785])).
% 0.77/0.91 tff(2876,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2875, 2785])).
% 0.77/0.91 tff(2877,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2876, 2785])).
% 0.77/0.91 tff(2878,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2877, 2785])).
% 0.77/0.91 tff(2879,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_2, blue)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.91 inference(modus_ponens,[status(thm)],[2878, 2785])).
% 0.77/0.91 tff(2880,plain,
% 0.77/0.91 ((~drinks(norwegian, water)) | (~drinks(japanese, coffee)) | (~drinks(english, milk)) | (~drinks(spaniard, orange)) | (~owns(norwegian, fox)) | (~owns(ukranian, horse)) | (~owns(japanese, zebra)) | (~owns(english, snails)) | (~drives(norwegian, masserati)) | (~drives(ukranian, saab)) | (~drives(english, porsche)) | (~drives(spaniard, honda)) | (~lives(ukranian, house_2)) | (~lives(japanese, house_5)) | (~lives(english, house_3)) | (~lives(spaniard, house_4)) | (~is_color(house_1, yellow)) | (~is_color(house_3, red)) | (~is_color(house_4, ivory)) | (~is_color(house_5, green))),
% 0.77/0.92 inference(unit_resolution,[status(thm)],[2879, 236])).
% 0.77/0.92 tff(2881,plain,
% 0.77/0.92 ($false),
% 0.77/0.92 inference(unit_resolution,[status(thm)],[2880, 2784, 2780, 2776, 2429, 2654, 2656, 2775, 2738, 2737, 2497, 2734, 2733, 2641, 2697, 2366, 2706, 2363, 2322, 2365, 2355])).
% 0.77/0.92 % SZS output end Proof
%------------------------------------------------------------------------------