TSTP Solution File: NLP094-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : NLP094-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 08:47:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP094-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.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 04:44:04 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.
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start Proof
% 0.20/0.44 tff(nonreflexive_type, type, (
% 0.20/0.44 nonreflexive: ( $i * $i ) > $o)).
% 0.20/0.44 tff(skf13_type, type, (
% 0.20/0.44 skf13: $i > $i)).
% 0.20/0.44 tff(skf25_type, type, (
% 0.20/0.44 skf25: $i > $i)).
% 0.20/0.44 tff(skc2_type, type, (
% 0.20/0.44 skc2: $i)).
% 0.20/0.44 tff(customer_type, type, (
% 0.20/0.44 customer: ( $i * $i ) > $o)).
% 0.20/0.44 tff(ssSkC0_type, type, (
% 0.20/0.44 ssSkC0: $o)).
% 0.20/0.44 tff(past_type, type, (
% 0.20/0.44 past: ( $i * $i ) > $o)).
% 0.20/0.44 tff(skf26_type, type, (
% 0.20/0.44 skf26: $i > $i)).
% 0.20/0.44 tff(skf39_type, type, (
% 0.20/0.44 skf39: $i > $i)).
% 0.20/0.44 tff(skc13_type, type, (
% 0.20/0.44 skc13: $i)).
% 0.20/0.44 tff(restaurant_type, type, (
% 0.20/0.44 restaurant: ( $i * $i ) > $o)).
% 0.20/0.44 tff(skf34_type, type, (
% 0.20/0.44 skf34: $i > $i)).
% 0.20/0.44 tff(actual_world_type, type, (
% 0.20/0.44 actual_world: $i > $o)).
% 0.20/0.44 tff(in_type, type, (
% 0.20/0.44 in: ( $i * $i * $i ) > $o)).
% 0.20/0.44 tff(event_type, type, (
% 0.20/0.44 event: ( $i * $i ) > $o)).
% 0.20/0.44 tff(see_type, type, (
% 0.20/0.44 see: ( $i * $i ) > $o)).
% 0.20/0.44 tff(patient_type, type, (
% 0.20/0.44 patient: ( $i * $i * $i ) > $o)).
% 0.20/0.44 tff(skf29_type, type, (
% 0.20/0.44 skf29: $i > $i)).
% 0.20/0.44 tff(human_person_type, type, (
% 0.20/0.44 human_person: ( $i * $i ) > $o)).
% 0.20/0.44 tff(drink_type, type, (
% 0.20/0.44 drink: ( $i * $i ) > $o)).
% 0.20/0.44 tff(skf27_type, type, (
% 0.20/0.44 skf27: $i > $i)).
% 0.20/0.44 tff(agent_type, type, (
% 0.20/0.44 agent: ( $i * $i * $i ) > $o)).
% 0.20/0.44 tff(skf28_type, type, (
% 0.20/0.44 skf28: $i > $i)).
% 0.20/0.44 tff(coffee_type, type, (
% 0.20/0.44 coffee: ( $i * $i ) > $o)).
% 0.20/0.44 tff(skf20_type, type, (
% 0.20/0.44 skf20: $i > $i)).
% 0.20/0.44 tff(skf14_type, type, (
% 0.20/0.44 skf14: $i > $i)).
% 0.20/0.44 tff(skf15_type, type, (
% 0.20/0.44 skf15: $i > $i)).
% 0.20/0.44 tff(skf12_type, type, (
% 0.20/0.44 skf12: $i > $i)).
% 0.20/0.44 tff(1,assumption,(~ssSkC0), introduced(assumption)).
% 0.20/0.44 tff(2,plain,
% 0.20/0.44 (^[U: $i] : refl((ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(3,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.44 tff(4,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(5,plain,
% 0.20/0.44 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U))) <=> ((ssSkC0 | (~actual_world(U))) | restaurant(U, skf34(U))))), rewrite(((ssSkC0 | (~actual_world(U))) | restaurant(U, skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))), ((((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(6,plain,
% 0.20/0.44 (![U: $i] : (((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[5])).
% 0.20/0.44 tff(7,axiom,(![U: $i] : (((~actual_world(U)) | ssSkC0) | restaurant(U, skf34(U)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause4')).
% 0.20/0.44 tff(8,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.44 tff(9,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.20/0.44 tff(10,plain,(
% 0.20/0.44 ![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[9])).
% 0.20/0.44 tff(11,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.44 tff(12,plain,
% 0.20/0.44 (actual_world(skc13) <=> actual_world(skc13)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(13,axiom,(actual_world(skc13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 0.20/0.44 tff(14,plain,
% 0.20/0.44 (actual_world(skc13)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.20/0.44 tff(15,plain,
% 0.20/0.44 (((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13)))) <=> ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(16,plain,
% 0.20/0.44 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(17,plain,
% 0.20/0.44 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | restaurant(U, skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | restaurant(skc13, skf34(skc13))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.44 tff(18,plain,
% 0.20/0.44 (ssSkC0 | restaurant(skc13, skf34(skc13))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[17, 14, 11])).
% 0.20/0.44 tff(19,plain,
% 0.20/0.44 (restaurant(skc13, skf34(skc13))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[18, 1])).
% 0.20/0.44 tff(20,plain,
% 0.20/0.44 (^[U: $i] : refl((ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))) <=> (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(21,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))) <=> ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[20])).
% 0.20/0.44 tff(22,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U))) <=> ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(23,plain,
% 0.20/0.44 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | customer(U, skf39(U))) <=> ((ssSkC0 | (~actual_world(U))) | customer(U, skf39(U))))), rewrite(((ssSkC0 | (~actual_world(U))) | customer(U, skf39(U))) <=> (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | customer(U, skf39(U))) <=> (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(24,plain,
% 0.20/0.44 (![U: $i] : (((~actual_world(U)) | ssSkC0) | customer(U, skf39(U))) <=> ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[23])).
% 0.20/0.44 tff(25,axiom,(![U: $i] : (((~actual_world(U)) | ssSkC0) | customer(U, skf39(U)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 0.20/0.44 tff(26,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.20/0.44 tff(27,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.20/0.44 tff(28,plain,(
% 0.20/0.44 ![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[27])).
% 0.20/0.44 tff(29,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.20/0.44 tff(30,plain,
% 0.20/0.44 (((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))) <=> ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(31,plain,
% 0.20/0.44 ((ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13))) <=> (ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(32,plain,
% 0.20/0.44 (((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13)))) <=> ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13))))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[31])).
% 0.20/0.44 tff(33,plain,
% 0.20/0.44 (((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13)))) <=> ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[32, 30])).
% 0.20/0.44 tff(34,plain,
% 0.20/0.44 ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | (ssSkC0 | customer(skc13, skf39(skc13)) | (~actual_world(skc13)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(35,plain,
% 0.20/0.44 ((~![U: $i] : (ssSkC0 | customer(U, skf39(U)) | (~actual_world(U)))) | ssSkC0 | (~actual_world(skc13)) | customer(skc13, skf39(skc13))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.44 tff(36,plain,
% 0.20/0.44 (ssSkC0 | customer(skc13, skf39(skc13))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[35, 14, 29])).
% 0.20/0.44 tff(37,plain,
% 0.20/0.44 (customer(skc13, skf39(skc13))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[36, 1])).
% 0.20/0.44 tff(38,plain,
% 0.20/0.44 (^[U: $i] : refl((ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(39,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.44 tff(40,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(41,plain,
% 0.20/0.44 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)))), ((((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U))) <=> ((ssSkC0 | (~actual_world(U))) | in(U, skf39(U), skf34(U))))), rewrite(((ssSkC0 | (~actual_world(U))) | in(U, skf39(U), skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))), ((((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U))) <=> (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(42,plain,
% 0.20/0.44 (![U: $i] : (((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U))) <=> ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[41])).
% 0.20/0.44 tff(43,axiom,(![U: $i] : (((~actual_world(U)) | ssSkC0) | in(U, skf39(U), skf34(U)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 0.20/0.44 tff(44,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.44 tff(45,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.20/0.44 tff(46,plain,(
% 0.20/0.44 ![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[45])).
% 0.20/0.44 tff(47,plain,
% 0.20/0.44 (![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.20/0.44 tff(48,plain,
% 0.20/0.44 (((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13)))) <=> ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(49,plain,
% 0.20/0.44 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | (ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(50,plain,
% 0.20/0.44 ((~![U: $i] : (ssSkC0 | (~actual_world(U)) | in(U, skf39(U), skf34(U)))) | ssSkC0 | (~actual_world(skc13)) | in(skc13, skf39(skc13), skf34(skc13))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.20/0.44 tff(51,plain,
% 0.20/0.44 (ssSkC0 | in(skc13, skf39(skc13), skf34(skc13))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[50, 14, 47])).
% 0.20/0.44 tff(52,plain,
% 0.20/0.44 (in(skc13, skf39(skc13), skf34(skc13))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[51, 1])).
% 0.20/0.44 tff(53,plain,
% 0.20/0.44 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(54,plain,
% 0.20/0.44 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.45 tff(55,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(56,plain,
% 0.20/0.45 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(57,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.45 tff(58,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf26(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause10')).
% 0.20/0.45 tff(59,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.45 tff(60,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.20/0.45 tff(61,plain,(
% 0.20/0.45 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[60])).
% 0.20/0.45 tff(62,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.20/0.45 tff(63,plain,
% 0.20/0.45 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(64,plain,
% 0.20/0.45 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(65,plain,
% 0.20/0.45 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf26(skf39(skc13)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.20/0.45 tff(66,plain,
% 0.20/0.45 (past(skc13, skf26(skf39(skc13)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[65, 62, 1, 52, 37, 19])).
% 0.20/0.45 tff(67,plain,
% 0.20/0.45 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) <=> (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(68,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[67])).
% 0.20/0.45 tff(69,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(70,plain,
% 0.20/0.45 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf26(W))) <=> (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W))) <=> (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(71,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[70])).
% 0.20/0.45 tff(72,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf26(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause9')).
% 0.20/0.45 tff(73,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.20/0.45 tff(74,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.20/0.45 tff(75,plain,(
% 0.20/0.45 ![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[74])).
% 0.20/0.45 tff(76,plain,
% 0.20/0.45 (![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.20/0.45 tff(77,plain,
% 0.20/0.45 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(78,plain,
% 0.20/0.45 ((ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13)))) <=> (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(79,plain,
% 0.20/0.45 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13)))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[78])).
% 0.20/0.45 tff(80,plain,
% 0.20/0.45 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13))))),
% 0.20/0.45 inference(transitivity,[status(thm)],[79, 77])).
% 0.20/0.45 tff(81,plain,
% 0.20/0.45 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | (ssSkC0 | event(skc13, skf26(skf39(skc13))) | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(82,plain,
% 0.20/0.45 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | event(skc13, skf26(W)) | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf26(skf39(skc13)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.20/0.45 tff(83,plain,
% 0.20/0.45 (event(skc13, skf26(skf39(skc13)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[82, 76, 1, 52, 37, 19])).
% 0.20/0.45 tff(84,plain,
% 0.20/0.45 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(85,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[84])).
% 0.20/0.46 tff(86,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(87,plain,
% 0.20/0.46 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(88,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[87])).
% 0.20/0.46 tff(89,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf26(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause11')).
% 0.20/0.46 tff(90,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.20/0.46 tff(91,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[90, 86])).
% 0.20/0.46 tff(92,plain,(
% 0.20/0.46 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[91])).
% 0.20/0.46 tff(93,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[92, 85])).
% 0.20/0.46 tff(94,plain,
% 0.20/0.46 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(95,plain,
% 0.20/0.46 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(96,plain,
% 0.20/0.46 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf26(skf39(skc13)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.20/0.46 tff(97,plain,
% 0.20/0.46 (nonreflexive(skc13, skf26(skf39(skc13)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[96, 93, 1, 52, 37, 19])).
% 0.20/0.46 tff(98,plain,
% 0.20/0.46 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(99,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[98])).
% 0.20/0.46 tff(100,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(101,plain,
% 0.20/0.46 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | see(skc13, skf26(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | see(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(102,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[101])).
% 0.20/0.46 tff(103,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | see(skc13, skf26(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause12')).
% 0.20/0.46 tff(104,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.46 tff(105,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.20/0.46 tff(106,plain,(
% 0.20/0.46 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[105])).
% 0.20/0.46 tff(107,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[106, 99])).
% 0.20/0.46 tff(108,plain,
% 0.20/0.46 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(109,plain,
% 0.20/0.46 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(110,plain,
% 0.20/0.46 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | see(skc13, skf26(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | see(skc13, skf26(skf39(skc13)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.20/0.46 tff(111,plain,
% 0.20/0.46 (see(skc13, skf26(skf39(skc13)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[110, 107, 1, 52, 37, 19])).
% 0.20/0.46 tff(112,plain,
% 0.20/0.46 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(113,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[112])).
% 0.20/0.46 tff(114,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(115,plain,
% 0.20/0.46 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf26(W), skf29(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf26(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(116,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[115])).
% 0.20/0.46 tff(117,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf26(W), skf29(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause31')).
% 0.20/0.46 tff(118,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.46 tff(119,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.20/0.46 tff(120,plain,(
% 0.20/0.46 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[119])).
% 0.20/0.46 tff(121,plain,
% 0.20/0.46 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.20/0.46 tff(122,plain,
% 0.20/0.46 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(123,plain,
% 0.20/0.46 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(124,plain,
% 0.20/0.46 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf26(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.46 tff(125,plain,
% 0.20/0.46 (patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[124, 121, 1, 52, 37, 19])).
% 0.20/0.46 tff(126,plain,
% 0.20/0.46 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(127,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[126])).
% 0.20/0.47 tff(128,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(129,plain,
% 0.20/0.47 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | human_person(skc13, skf29(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | human_person(skc13, skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(130,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[129])).
% 0.20/0.47 tff(131,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | human_person(skc13, skf29(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause13')).
% 0.20/0.47 tff(132,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.20/0.47 tff(133,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[132, 128])).
% 0.20/0.47 tff(134,plain,(
% 0.20/0.47 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(skolemize,[status(sab)],[133])).
% 0.20/0.47 tff(135,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[134, 127])).
% 0.20/0.47 tff(136,plain,
% 0.20/0.47 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(137,plain,
% 0.20/0.47 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(138,plain,
% 0.20/0.47 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | human_person(skc13, skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | human_person(skc13, skf29(skf39(skc13)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.20/0.47 tff(139,plain,
% 0.20/0.47 (human_person(skc13, skf29(skf39(skc13)))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[138, 135, 1, 52, 37, 19])).
% 0.20/0.47 tff(140,plain,
% 0.20/0.47 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(141,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[140])).
% 0.20/0.47 tff(142,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(143,plain,
% 0.20/0.47 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | drink(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | drink(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(144,plain,
% 0.20/0.47 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[143])).
% 0.20/0.47 tff(145,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | drink(skc13, skf27(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause14')).
% 0.20/0.48 tff(146,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.48 tff(147,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.20/0.48 tff(148,plain,(
% 0.20/0.48 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[147])).
% 0.20/0.48 tff(149,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[148, 141])).
% 0.20/0.48 tff(150,plain,
% 0.20/0.48 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(151,plain,
% 0.20/0.48 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(152,plain,
% 0.20/0.48 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | drink(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | drink(skc13, skf27(skf39(skc13)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.20/0.48 tff(153,plain,
% 0.20/0.48 (drink(skc13, skf27(skf39(skc13)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[152, 149, 1, 52, 37, 19])).
% 0.20/0.48 tff(154,plain,
% 0.20/0.48 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(155,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[154])).
% 0.20/0.48 tff(156,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(157,plain,
% 0.20/0.48 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | nonreflexive(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(158,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[157])).
% 0.20/0.48 tff(159,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | nonreflexive(skc13, skf27(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause15')).
% 0.20/0.48 tff(160,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.20/0.48 tff(161,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.20/0.48 tff(162,plain,(
% 0.20/0.48 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[161])).
% 0.20/0.48 tff(163,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.20/0.48 tff(164,plain,
% 0.20/0.48 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(165,plain,
% 0.20/0.48 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(166,plain,
% 0.20/0.48 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | nonreflexive(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | nonreflexive(skc13, skf27(skf39(skc13)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.20/0.48 tff(167,plain,
% 0.20/0.48 (nonreflexive(skc13, skf27(skf39(skc13)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[166, 163, 1, 52, 37, 19])).
% 0.20/0.48 tff(168,plain,
% 0.20/0.48 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(169,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[168])).
% 0.20/0.48 tff(170,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(171,plain,
% 0.20/0.48 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | past(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(172,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[171])).
% 0.20/0.48 tff(173,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | past(skc13, skf27(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause16')).
% 0.20/0.48 tff(174,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.20/0.48 tff(175,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[174, 170])).
% 0.20/0.48 tff(176,plain,(
% 0.20/0.48 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[175])).
% 0.20/0.48 tff(177,plain,
% 0.20/0.48 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.20/0.48 tff(178,plain,
% 0.20/0.48 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(179,plain,
% 0.20/0.49 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(180,plain,
% 0.20/0.49 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | past(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | past(skc13, skf27(skf39(skc13)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.49 tff(181,plain,
% 0.20/0.49 (past(skc13, skf27(skf39(skc13)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[180, 177, 1, 52, 37, 19])).
% 0.20/0.49 tff(182,plain,
% 0.20/0.49 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(183,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[182])).
% 0.20/0.49 tff(184,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(185,plain,
% 0.20/0.49 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf27(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | event(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(186,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[185])).
% 0.20/0.49 tff(187,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | event(skc13, skf27(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause17')).
% 0.20/0.49 tff(188,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.20/0.49 tff(189,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[188, 184])).
% 0.20/0.49 tff(190,plain,(
% 0.20/0.49 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[189])).
% 0.20/0.49 tff(191,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[190, 183])).
% 0.20/0.49 tff(192,plain,
% 0.20/0.49 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(193,plain,
% 0.20/0.49 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(194,plain,
% 0.20/0.49 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | event(skc13, skf27(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | event(skc13, skf27(skf39(skc13)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.20/0.49 tff(195,plain,
% 0.20/0.49 (event(skc13, skf27(skf39(skc13)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[194, 191, 1, 52, 37, 19])).
% 0.20/0.49 tff(196,plain,
% 0.20/0.49 (^[V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(197,plain,
% 0.20/0.49 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)) <=> ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[196])).
% 0.20/0.49 tff(198,plain,
% 0.20/0.49 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V)) <=> ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(199,plain,
% 0.20/0.49 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V)) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf26(V), V)))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf26(V), V)) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V)) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(200,plain,
% 0.20/0.49 (![V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V)) <=> ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[199])).
% 0.20/0.49 tff(201,axiom,(![V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf26(V), V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause29')).
% 0.20/0.49 tff(202,plain,
% 0.20/0.49 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.20/0.49 tff(203,plain,
% 0.20/0.49 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[202, 198])).
% 0.20/0.49 tff(204,plain,(
% 0.20/0.49 ![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(skolemize,[status(sab)],[203])).
% 0.20/0.49 tff(205,plain,
% 0.20/0.49 (![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[204, 197])).
% 0.20/0.49 tff(206,plain,
% 0.20/0.49 (((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13)))) <=> ((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(207,plain,
% 0.20/0.49 ((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(208,plain,
% 0.20/0.49 ((~![V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf26(V), V))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf26(skf39(skc13)), skf39(skc13))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.20/0.49 tff(209,plain,
% 0.20/0.49 (agent(skc13, skf26(skf39(skc13)), skf39(skc13))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[208, 205, 1, 52, 37, 19])).
% 0.20/0.49 tff(210,plain,
% 0.20/0.49 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(211,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[210])).
% 0.20/0.49 tff(212,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(213,plain,
% 0.20/0.49 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf27(W), skf28(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | patient(skc13, skf27(W), skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(214,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[213])).
% 0.20/0.49 tff(215,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | patient(skc13, skf27(W), skf28(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause33')).
% 0.20/0.49 tff(216,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.20/0.49 tff(217,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[216, 212])).
% 0.20/0.49 tff(218,plain,(
% 0.20/0.49 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[217])).
% 0.20/0.49 tff(219,plain,
% 0.20/0.49 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[218, 211])).
% 0.20/0.49 tff(220,plain,
% 0.20/0.49 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(221,plain,
% 0.20/0.50 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(222,plain,
% 0.20/0.50 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | patient(skc13, skf27(W), skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.20/0.50 tff(223,plain,
% 0.20/0.50 (patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[222, 219, 1, 52, 37, 19])).
% 0.20/0.50 tff(224,plain,
% 0.20/0.50 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(225,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[224])).
% 0.20/0.50 tff(226,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(227,plain,
% 0.20/0.50 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf27(W), skf29(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | agent(skc13, skf27(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(228,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[227])).
% 0.20/0.50 tff(229,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | agent(skc13, skf27(W), skf29(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause32')).
% 0.20/0.50 tff(230,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.20/0.50 tff(231,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[230, 226])).
% 0.20/0.50 tff(232,plain,(
% 0.20/0.50 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(skolemize,[status(sab)],[231])).
% 0.20/0.50 tff(233,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[232, 225])).
% 0.20/0.50 tff(234,plain,
% 0.20/0.50 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(235,plain,
% 0.20/0.50 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(236,plain,
% 0.20/0.50 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | agent(skc13, skf27(W), skf29(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.20/0.50 tff(237,plain,
% 0.20/0.50 (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[236, 233])).
% 0.20/0.50 tff(238,plain,
% 0.20/0.50 (agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[237, 52, 37, 19, 1])).
% 0.20/0.50 tff(239,plain,
% 0.20/0.50 (^[W: $i, V: $i, U: $i] : refl((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(240,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[239])).
% 0.20/0.50 tff(241,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(242,plain,
% 0.20/0.50 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) <=> ((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0))), rewrite((((~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)))), (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W))) <=> ((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | coffee(skc13, skf28(W))))), rewrite(((ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U))) | coffee(skc13, skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))), ((((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W))) <=> (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(243,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W))) <=> ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[242])).
% 0.20/0.50 tff(244,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc13, U)) | (~in(skc13, V, U))) | (~customer(skc13, V))) | ssSkC0) | coffee(skc13, skf28(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause18')).
% 0.20/0.50 tff(245,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.20/0.50 tff(246,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[245, 241])).
% 0.20/0.50 tff(247,plain,(
% 0.20/0.50 ![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(skolemize,[status(sab)],[246])).
% 0.20/0.50 tff(248,plain,
% 0.20/0.50 (![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[247, 240])).
% 0.20/0.50 tff(249,plain,
% 0.20/0.50 (((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13))))) <=> ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(250,plain,
% 0.20/0.50 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(251,plain,
% 0.20/0.50 ((~![W: $i, V: $i, U: $i] : (ssSkC0 | (~customer(skc13, V)) | (~in(skc13, V, U)) | (~restaurant(skc13, U)) | coffee(skc13, skf28(W)))) | ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.20/0.50 tff(252,plain,
% 0.20/0.50 (ssSkC0 | (~customer(skc13, skf39(skc13))) | (~in(skc13, skf39(skc13), skf34(skc13))) | (~restaurant(skc13, skf34(skc13))) | coffee(skc13, skf28(skf39(skc13)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[251, 248])).
% 0.20/0.50 tff(253,plain,
% 0.20/0.50 (coffee(skc13, skf28(skf39(skc13)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[252, 52, 37, 19, 1])).
% 0.20/0.50 tff(254,plain,
% 0.20/0.50 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) <=> (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(255,plain,
% 0.20/0.50 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[254])).
% 0.20/0.50 tff(256,plain,
% 0.20/0.50 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(257,plain,
% 0.20/0.50 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) <=> ((~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> (((~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, V))))), rewrite((((~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> (((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~see(U, V))))), rewrite((((~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, W, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, W, X))) <=> ((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) <=> ((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) <=> (((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~coffee(U, X))))), rewrite((((~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~coffee(U, X))) <=> ((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) <=> ((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) <=> (((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~drink(U, W))))), rewrite((((~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~drink(U, W))) <=> ((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) <=> ((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) <=> (((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, W))))), rewrite((((~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~nonreflexive(U, W))) <=> ((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) <=> ((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) <=> (((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~past(U, W))))), rewrite((((~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~past(U, W))) <=> ((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) <=> ((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) <=> (((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~event(U, W))))), rewrite((((~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~event(U, W))) <=> ((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) <=> ((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) <=> (((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~human_person(U, Y))))), rewrite((((~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~human_person(U, Y))) <=> ((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) <=> ((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) <=> (((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~agent(U, W, Y))))), rewrite((((~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~agent(U, W, Y))) <=> ((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) <=> ((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) <=> (((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, V, Y))))), rewrite((((~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~patient(U, V, Y))) <=> ((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) <=> ((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) <=> (((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~actual_world(U))))), rewrite((((~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0) <=> (((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | ssSkC0))), rewrite((((~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V))) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0) <=> (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(258,plain,
% 0.20/0.50 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[257])).
% 0.20/0.50 tff(259,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf39(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, W, X))) | (~coffee(U, X))) | (~drink(U, W))) | (~nonreflexive(U, W))) | (~past(U, W))) | (~event(U, W))) | (~human_person(U, Y))) | (~agent(U, W, Y))) | (~patient(U, V, Y))) | (~actual_world(U))) | ssSkC0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 0.20/0.51 tff(260,plain,
% 0.20/0.51 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[259, 258])).
% 0.20/0.51 tff(261,plain,
% 0.20/0.51 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[260, 256])).
% 0.20/0.51 tff(262,plain,(
% 0.20/0.51 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[261])).
% 0.20/0.51 tff(263,plain,
% 0.20/0.51 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[262, 255])).
% 0.20/0.51 tff(264,plain,
% 0.20/0.51 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | ssSkC0 | (~actual_world(skc13)) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(265,plain,
% 0.20/0.51 ((ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13))))) <=> (ssSkC0 | (~actual_world(skc13)) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(266,plain,
% 0.20/0.51 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13))))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[265])).
% 0.20/0.51 tff(267,plain,
% 0.20/0.51 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | ssSkC0 | (~actual_world(skc13)) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))),
% 0.20/0.51 inference(transitivity,[status(thm)],[266, 264])).
% 0.20/0.51 tff(268,plain,
% 0.20/0.51 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | (ssSkC0 | (~actual_world(skc13)) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13)))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(269,plain,
% 0.20/0.51 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssSkC0 | (~actual_world(U)) | (~patient(U, V, Y)) | (~agent(U, W, Y)) | (~human_person(U, Y)) | (~event(U, W)) | (~past(U, W)) | (~nonreflexive(U, W)) | (~drink(U, W)) | (~coffee(U, X)) | (~patient(U, W, X)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~agent(U, V, skf39(U))) | (~event(U, V)))) | ssSkC0 | (~actual_world(skc13)) | (~human_person(skc13, skf29(skf39(skc13)))) | (~event(skc13, skf27(skf39(skc13)))) | (~agent(skc13, skf27(skf39(skc13)), skf29(skf39(skc13)))) | (~patient(skc13, skf26(skf39(skc13)), skf29(skf39(skc13)))) | (~past(skc13, skf27(skf39(skc13)))) | (~nonreflexive(skc13, skf27(skf39(skc13)))) | (~drink(skc13, skf27(skf39(skc13)))) | (~coffee(skc13, skf28(skf39(skc13)))) | (~patient(skc13, skf27(skf39(skc13)), skf28(skf39(skc13)))) | (~see(skc13, skf26(skf39(skc13)))) | (~nonreflexive(skc13, skf26(skf39(skc13)))) | (~past(skc13, skf26(skf39(skc13)))) | (~agent(skc13, skf26(skf39(skc13)), skf39(skc13))) | (~event(skc13, skf26(skf39(skc13))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.20/0.51 tff(270,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[269, 14, 263, 1, 253, 238, 223, 209, 195, 181, 167, 153, 139, 125, 111, 97, 83, 66])).
% 0.20/0.51 tff(271,plain,(ssSkC0), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(272,plain,
% 0.20/0.51 (^[U: $i] : refl(((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))) <=> ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(273,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[272])).
% 0.20/0.51 tff(274,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(275,plain,
% 0.20/0.51 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)))), ((((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U))) <=> (((~ssSkC0) | (~actual_world(U))) | customer(U, skf25(U))))), rewrite((((~ssSkC0) | (~actual_world(U))) | customer(U, skf25(U))) <=> ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))), ((((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U))) <=> ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(276,plain,
% 0.20/0.51 (![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[275])).
% 0.20/0.51 tff(277,axiom,(![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | customer(U, skf25(U)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause5')).
% 0.20/0.51 tff(278,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.20/0.51 tff(279,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[278, 274])).
% 0.20/0.51 tff(280,plain,(
% 0.20/0.51 ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[279])).
% 0.20/0.51 tff(281,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[280, 273])).
% 0.20/0.51 tff(282,plain,
% 0.20/0.51 (actual_world(skc2) <=> actual_world(skc2)),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(283,axiom,(actual_world(skc2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 0.20/0.51 tff(284,plain,
% 0.20/0.51 (actual_world(skc2)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.20/0.51 tff(285,plain,
% 0.20/0.51 (((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2)))) <=> ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | (~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(286,plain,
% 0.20/0.51 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(287,plain,
% 0.20/0.51 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | customer(U, skf25(U)))) | (~ssSkC0) | (~actual_world(skc2)) | customer(skc2, skf25(skc2))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.20/0.51 tff(288,plain,
% 0.20/0.51 ((~ssSkC0) | customer(skc2, skf25(skc2))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[287, 284, 281])).
% 0.20/0.51 tff(289,plain,
% 0.20/0.51 (customer(skc2, skf25(skc2))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[288, 271])).
% 0.20/0.51 tff(290,plain,
% 0.20/0.51 (^[U: $i] : refl(((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(291,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[290])).
% 0.20/0.51 tff(292,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(293,plain,
% 0.20/0.51 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)))), ((((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U))) <=> (((~ssSkC0) | (~actual_world(U))) | restaurant(U, skf20(U))))), rewrite((((~ssSkC0) | (~actual_world(U))) | restaurant(U, skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))), ((((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(294,plain,
% 0.20/0.51 (![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[293])).
% 0.20/0.51 tff(295,axiom,(![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | restaurant(U, skf20(U)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause6')).
% 0.20/0.51 tff(296,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[295, 294])).
% 0.20/0.51 tff(297,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[296, 292])).
% 0.20/0.51 tff(298,plain,(
% 0.20/0.51 ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[297])).
% 0.20/0.51 tff(299,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[298, 291])).
% 0.20/0.51 tff(300,plain,
% 0.20/0.51 (((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2)))) <=> ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(301,plain,
% 0.20/0.51 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(302,plain,
% 0.20/0.51 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | restaurant(U, skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | restaurant(skc2, skf20(skc2))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[301, 300])).
% 0.20/0.51 tff(303,plain,
% 0.20/0.51 ((~ssSkC0) | restaurant(skc2, skf20(skc2))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[302, 284, 299])).
% 0.20/0.51 tff(304,plain,
% 0.20/0.51 (restaurant(skc2, skf20(skc2))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[303, 271])).
% 0.20/0.51 tff(305,plain,
% 0.20/0.51 (^[U: $i] : refl(((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(306,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[305])).
% 0.20/0.51 tff(307,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(308,plain,
% 0.20/0.51 (^[U: $i] : trans(monotonicity(rewrite(((~actual_world(U)) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)))), ((((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U))) <=> (((~ssSkC0) | (~actual_world(U))) | in(U, skf25(U), skf20(U))))), rewrite((((~ssSkC0) | (~actual_world(U))) | in(U, skf25(U), skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))), ((((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U))) <=> ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(309,plain,
% 0.20/0.51 (![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U))) <=> ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[308])).
% 0.20/0.51 tff(310,axiom,(![U: $i] : (((~actual_world(U)) | (~ssSkC0)) | in(U, skf25(U), skf20(U)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause8')).
% 0.20/0.51 tff(311,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.20/0.51 tff(312,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[311, 307])).
% 0.20/0.51 tff(313,plain,(
% 0.20/0.51 ![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[312])).
% 0.20/0.51 tff(314,plain,
% 0.20/0.51 (![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[313, 306])).
% 0.20/0.51 tff(315,plain,
% 0.20/0.51 (((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2)))) <=> ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(316,plain,
% 0.20/0.51 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | ((~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(317,plain,
% 0.20/0.51 ((~![U: $i] : ((~ssSkC0) | (~actual_world(U)) | in(U, skf25(U), skf20(U)))) | (~ssSkC0) | (~actual_world(skc2)) | in(skc2, skf25(skc2), skf20(skc2))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.20/0.51 tff(318,plain,
% 0.20/0.51 ((~ssSkC0) | in(skc2, skf25(skc2), skf20(skc2))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[317, 284, 314])).
% 0.20/0.51 tff(319,plain,
% 0.20/0.51 (in(skc2, skf25(skc2), skf20(skc2))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[318, 271])).
% 0.20/0.51 tff(320,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(321,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[320])).
% 0.20/0.51 tff(322,plain,
% 0.20/0.51 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(323,plain,
% 0.20/0.51 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(324,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[323])).
% 0.20/0.52 tff(325,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf13(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause25')).
% 0.20/0.52 tff(326,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.20/0.52 tff(327,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[326, 322])).
% 0.20/0.52 tff(328,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[327])).
% 0.20/0.52 tff(329,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[328, 321])).
% 0.20/0.52 tff(330,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(331,plain,
% 0.20/0.52 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(332,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | nonreflexive(skc2, skf13(skf25(skc2)))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[331])).
% 0.20/0.52 tff(333,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(transitivity,[status(thm)],[332, 330])).
% 0.20/0.52 tff(334,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(335,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | nonreflexive(skc2, skf13(skf25(skc2)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[334, 333])).
% 0.20/0.52 tff(336,plain,
% 0.20/0.52 (nonreflexive(skc2, skf13(skf25(skc2)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[335, 329, 271, 319, 304, 289])).
% 0.20/0.52 tff(337,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(338,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[337])).
% 0.20/0.52 tff(339,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(340,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | drink(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | drink(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(341,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[340])).
% 0.20/0.52 tff(342,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | drink(skc2, skf13(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause24')).
% 0.20/0.52 tff(343,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[342, 341])).
% 0.20/0.52 tff(344,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[343, 339])).
% 0.20/0.52 tff(345,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[344])).
% 0.20/0.52 tff(346,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[345, 338])).
% 0.20/0.52 tff(347,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | drink(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(348,plain,
% 0.20/0.52 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(349,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | drink(skc2, skf13(skf25(skc2)))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[348])).
% 0.20/0.52 tff(350,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(transitivity,[status(thm)],[349, 347])).
% 0.20/0.52 tff(351,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | drink(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(352,plain,
% 0.20/0.52 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | drink(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | drink(skc2, skf13(skf25(skc2)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[351, 350])).
% 0.20/0.52 tff(353,plain,
% 0.20/0.52 (drink(skc2, skf13(skf25(skc2)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[352, 346, 271, 319, 304, 289])).
% 0.20/0.52 tff(354,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(355,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[354])).
% 0.20/0.52 tff(356,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(357,plain,
% 0.20/0.52 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(358,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[357])).
% 0.20/0.52 tff(359,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf13(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause26')).
% 0.20/0.52 tff(360,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.20/0.52 tff(361,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[360, 356])).
% 0.20/0.52 tff(362,plain,(
% 0.20/0.52 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[361])).
% 0.20/0.52 tff(363,plain,
% 0.20/0.52 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[362, 355])).
% 0.20/0.52 tff(364,plain,
% 0.20/0.52 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(365,plain,
% 0.20/0.52 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(366,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf13(skf25(skc2)))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[365])).
% 0.20/0.53 tff(367,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[366, 364])).
% 0.20/0.53 tff(368,plain,
% 0.20/0.53 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(369,plain,
% 0.20/0.53 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf13(skf25(skc2)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[368, 367])).
% 0.20/0.53 tff(370,plain,
% 0.20/0.53 (past(skc2, skf13(skf25(skc2)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[369, 363, 271, 319, 304, 289])).
% 0.20/0.53 tff(371,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(372,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[371])).
% 0.20/0.53 tff(373,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(374,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf13(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(375,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[374])).
% 0.20/0.53 tff(376,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf13(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause27')).
% 0.20/0.53 tff(377,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.20/0.53 tff(378,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[377, 373])).
% 0.20/0.53 tff(379,plain,(
% 0.20/0.53 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(skolemize,[status(sab)],[378])).
% 0.20/0.53 tff(380,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[379, 372])).
% 0.20/0.53 tff(381,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(382,plain,
% 0.20/0.53 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(383,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf13(skf25(skc2)))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[382])).
% 0.20/0.53 tff(384,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[383, 381])).
% 0.20/0.53 tff(385,plain,
% 0.20/0.53 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | event(skc2, skf13(skf25(skc2))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(386,plain,
% 0.20/0.53 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | event(skc2, skf13(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf13(skf25(skc2)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[385, 384])).
% 0.20/0.53 tff(387,plain,
% 0.20/0.53 (event(skc2, skf13(skf25(skc2)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[386, 380, 271, 319, 304, 289])).
% 0.20/0.53 tff(388,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(389,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[388])).
% 0.20/0.53 tff(390,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(391,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf13(W), skf14(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf13(W), skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(392,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[391])).
% 0.20/0.53 tff(393,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf13(W), skf14(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause36')).
% 0.20/0.53 tff(394,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.20/0.53 tff(395,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[394, 390])).
% 0.20/0.53 tff(396,plain,(
% 0.20/0.53 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(skolemize,[status(sab)],[395])).
% 0.20/0.53 tff(397,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[396, 389])).
% 0.20/0.53 tff(398,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(399,plain,
% 0.20/0.53 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(400,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[399])).
% 0.20/0.53 tff(401,plain,
% 0.20/0.53 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[400, 398])).
% 0.20/0.53 tff(402,plain,
% 0.20/0.53 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(403,plain,
% 0.20/0.53 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf13(W), skf14(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[402, 401])).
% 0.20/0.53 tff(404,plain,
% 0.20/0.53 (patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[403, 397, 271, 319, 304, 289])).
% 0.20/0.53 tff(405,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(406,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[405])).
% 0.20/0.53 tff(407,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(408,plain,
% 0.20/0.53 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf13(W), skf15(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf13(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(409,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[408])).
% 0.20/0.53 tff(410,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf13(W), skf15(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause34')).
% 0.20/0.53 tff(411,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[410, 409])).
% 0.20/0.53 tff(412,plain,
% 0.20/0.53 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[411, 407])).
% 0.20/0.53 tff(413,plain,(
% 0.20/0.54 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.54 inference(skolemize,[status(sab)],[412])).
% 0.20/0.54 tff(414,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[413, 406])).
% 0.20/0.54 tff(415,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(416,plain,
% 0.20/0.54 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(417,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[416])).
% 0.20/0.54 tff(418,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[417, 415])).
% 0.20/0.54 tff(419,plain,
% 0.20/0.54 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(420,plain,
% 0.20/0.54 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf13(W), skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[419, 418])).
% 0.20/0.54 tff(421,plain,
% 0.20/0.54 (agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[420, 414, 271, 319, 304, 289])).
% 0.20/0.54 tff(422,plain,
% 0.20/0.54 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(423,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[422])).
% 0.20/0.54 tff(424,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(425,plain,
% 0.20/0.54 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | coffee(skc2, skf14(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | coffee(skc2, skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(426,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[425])).
% 0.20/0.54 tff(427,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | coffee(skc2, skf14(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause23')).
% 0.20/0.54 tff(428,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[427, 426])).
% 0.20/0.54 tff(429,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[428, 424])).
% 0.20/0.54 tff(430,plain,(
% 0.20/0.54 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(skolemize,[status(sab)],[429])).
% 0.20/0.54 tff(431,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[430, 423])).
% 0.20/0.54 tff(432,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | coffee(skc2, skf14(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | (~ssSkC0) | coffee(skc2, skf14(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(433,plain,
% 0.20/0.54 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2)))) <=> ((~ssSkC0) | coffee(skc2, skf14(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(434,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | coffee(skc2, skf14(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[433])).
% 0.20/0.54 tff(435,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | (~ssSkC0) | coffee(skc2, skf14(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[434, 432])).
% 0.20/0.54 tff(436,plain,
% 0.20/0.54 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | coffee(skc2, skf14(skf25(skc2))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(437,plain,
% 0.20/0.54 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | coffee(skc2, skf14(W)))) | (~ssSkC0) | coffee(skc2, skf14(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.20/0.54 tff(438,plain,
% 0.20/0.54 (coffee(skc2, skf14(skf25(skc2)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[437, 431, 271, 319, 304, 289])).
% 0.20/0.54 tff(439,plain,
% 0.20/0.54 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(440,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[439])).
% 0.20/0.54 tff(441,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(442,plain,
% 0.20/0.54 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | human_person(skc2, skf15(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | human_person(skc2, skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(443,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[442])).
% 0.20/0.54 tff(444,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | human_person(skc2, skf15(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause28')).
% 0.20/0.54 tff(445,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.20/0.54 tff(446,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[445, 441])).
% 0.20/0.54 tff(447,plain,(
% 0.20/0.54 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(skolemize,[status(sab)],[446])).
% 0.20/0.54 tff(448,plain,
% 0.20/0.54 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[447, 440])).
% 0.20/0.54 tff(449,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | human_person(skc2, skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | human_person(skc2, skf15(skf25(skc2))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(450,plain,
% 0.20/0.54 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | human_person(skc2, skf15(skf25(skc2))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(451,plain,
% 0.20/0.54 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | human_person(skc2, skf15(skf25(skc2)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[450])).
% 0.20/0.55 tff(452,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | human_person(skc2, skf15(skf25(skc2))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[451, 449])).
% 0.20/0.55 tff(453,plain,
% 0.20/0.55 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | human_person(skc2, skf15(skf25(skc2))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(454,plain,
% 0.20/0.55 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | human_person(skc2, skf15(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | human_person(skc2, skf15(skf25(skc2)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[453, 452])).
% 0.20/0.55 tff(455,plain,
% 0.20/0.55 (human_person(skc2, skf15(skf25(skc2)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[454, 448, 271, 319, 304, 289])).
% 0.20/0.55 tff(456,plain,
% 0.20/0.55 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(457,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[456])).
% 0.20/0.55 tff(458,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(459,plain,
% 0.20/0.55 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | past(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(460,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[459])).
% 0.20/0.55 tff(461,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | past(skc2, skf12(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause20')).
% 0.20/0.55 tff(462,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[461, 460])).
% 0.20/0.55 tff(463,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[462, 458])).
% 0.20/0.55 tff(464,plain,(
% 0.20/0.55 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(skolemize,[status(sab)],[463])).
% 0.20/0.55 tff(465,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[464, 457])).
% 0.20/0.55 tff(466,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(467,plain,
% 0.20/0.55 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(468,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf12(skf25(skc2)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[467])).
% 0.20/0.55 tff(469,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[468, 466])).
% 0.20/0.55 tff(470,plain,
% 0.20/0.55 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | past(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(471,plain,
% 0.20/0.55 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | past(skc2, skf12(W)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | past(skc2, skf12(skf25(skc2)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[470, 469])).
% 0.20/0.55 tff(472,plain,
% 0.20/0.55 (past(skc2, skf12(skf25(skc2)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[471, 465, 271, 319, 304, 289])).
% 0.20/0.55 tff(473,plain,
% 0.20/0.55 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) <=> ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(474,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[473])).
% 0.20/0.55 tff(475,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(476,plain,
% 0.20/0.55 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | event(skc2, skf12(W))) <=> ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W))) <=> ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(477,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[476])).
% 0.20/0.55 tff(478,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | event(skc2, skf12(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause19')).
% 0.20/0.55 tff(479,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[478, 477])).
% 0.20/0.55 tff(480,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[479, 475])).
% 0.20/0.55 tff(481,plain,(
% 0.20/0.55 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(skolemize,[status(sab)],[480])).
% 0.20/0.55 tff(482,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[481, 474])).
% 0.20/0.55 tff(483,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(484,plain,
% 0.20/0.55 (((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2)))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(485,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf12(skf25(skc2)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[484])).
% 0.20/0.55 tff(486,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf12(skf25(skc2))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[485, 483])).
% 0.20/0.55 tff(487,plain,
% 0.20/0.55 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | ((~ssSkC0) | event(skc2, skf12(skf25(skc2))) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(488,plain,
% 0.20/0.55 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | event(skc2, skf12(W)) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | event(skc2, skf12(skf25(skc2)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[487, 486])).
% 0.20/0.55 tff(489,plain,
% 0.20/0.55 (event(skc2, skf12(skf25(skc2)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[488, 482, 271, 319, 304, 289])).
% 0.20/0.55 tff(490,plain,
% 0.20/0.55 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(491,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[490])).
% 0.20/0.55 tff(492,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(493,plain,
% 0.20/0.55 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | nonreflexive(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(494,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[493])).
% 0.20/0.55 tff(495,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | nonreflexive(skc2, skf12(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause21')).
% 0.20/0.55 tff(496,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[495, 494])).
% 0.20/0.55 tff(497,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[496, 492])).
% 0.20/0.55 tff(498,plain,(
% 0.20/0.55 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(skolemize,[status(sab)],[497])).
% 0.20/0.55 tff(499,plain,
% 0.20/0.55 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[498, 491])).
% 0.20/0.55 tff(500,plain,
% 0.20/0.55 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | (~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(501,plain,
% 0.20/0.55 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2)))) <=> ((~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(502,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[501])).
% 0.20/0.56 tff(503,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | (~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[502, 500])).
% 0.20/0.56 tff(504,plain,
% 0.20/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | nonreflexive(skc2, skf12(skf25(skc2))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(505,plain,
% 0.20/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | nonreflexive(skc2, skf12(W)))) | (~ssSkC0) | nonreflexive(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.20/0.56 tff(506,plain,
% 0.20/0.56 (nonreflexive(skc2, skf12(skf25(skc2)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[505, 499, 271, 319, 304, 289])).
% 0.20/0.56 tff(507,plain,
% 0.20/0.56 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(508,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[507])).
% 0.20/0.56 tff(509,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(510,plain,
% 0.20/0.56 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | see(skc2, skf12(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | see(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(511,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[510])).
% 0.20/0.56 tff(512,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | see(skc2, skf12(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause22')).
% 0.20/0.56 tff(513,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.20/0.56 tff(514,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[513, 509])).
% 0.20/0.56 tff(515,plain,(
% 0.20/0.56 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(skolemize,[status(sab)],[514])).
% 0.20/0.56 tff(516,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[515, 508])).
% 0.20/0.56 tff(517,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | see(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | (~ssSkC0) | see(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(518,plain,
% 0.20/0.56 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2)))) <=> ((~ssSkC0) | see(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(519,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | see(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[518])).
% 0.20/0.56 tff(520,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | (~ssSkC0) | see(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[519, 517])).
% 0.20/0.56 tff(521,plain,
% 0.20/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | see(skc2, skf12(skf25(skc2))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(522,plain,
% 0.20/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | see(skc2, skf12(W)))) | (~ssSkC0) | see(skc2, skf12(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[521, 520])).
% 0.20/0.56 tff(523,plain,
% 0.20/0.56 (see(skc2, skf12(skf25(skc2)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[522, 516, 271, 319, 304, 289])).
% 0.20/0.56 tff(524,plain,
% 0.20/0.56 (^[W: $i, V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(525,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[524])).
% 0.20/0.56 tff(526,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(527,plain,
% 0.20/0.56 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W))) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf12(W), skf15(W))))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | patient(skc2, skf12(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W))) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(528,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W))) <=> ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[527])).
% 0.20/0.56 tff(529,axiom,(![W: $i, V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | patient(skc2, skf12(W), skf15(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause35')).
% 0.20/0.56 tff(530,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[529, 528])).
% 0.20/0.56 tff(531,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[530, 526])).
% 0.20/0.56 tff(532,plain,(
% 0.20/0.56 ![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(skolemize,[status(sab)],[531])).
% 0.20/0.56 tff(533,plain,
% 0.20/0.56 (![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[532, 525])).
% 0.20/0.56 tff(534,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | (~ssSkC0) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(535,plain,
% 0.20/0.56 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) <=> ((~ssSkC0) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(536,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[535])).
% 0.20/0.56 tff(537,plain,
% 0.20/0.56 (((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | (~ssSkC0) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[536, 534])).
% 0.20/0.56 tff(538,plain,
% 0.20/0.56 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(539,plain,
% 0.20/0.57 ((~![W: $i, V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | patient(skc2, skf12(W), skf15(W)))) | (~ssSkC0) | patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2))) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2)))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[538, 537])).
% 0.20/0.57 tff(540,plain,
% 0.20/0.57 (patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[539, 533, 271, 319, 304, 289])).
% 0.20/0.57 tff(541,plain,
% 0.20/0.57 (^[V: $i, U: $i] : refl(((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(542,plain,
% 0.20/0.57 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)) <=> ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[541])).
% 0.20/0.57 tff(543,plain,
% 0.20/0.57 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V)) <=> ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(544,plain,
% 0.20/0.57 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) <=> ((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> (((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)))), rewrite((((~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)))), (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V)) <=> (((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf12(V), V)))), rewrite((((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U))) | agent(skc2, skf12(V), V)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))), ((((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V)) <=> ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(545,plain,
% 0.20/0.57 (![V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V)) <=> ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[544])).
% 0.20/0.57 tff(546,axiom,(![V: $i, U: $i] : (((((~restaurant(skc2, U)) | (~in(skc2, V, U))) | (~customer(skc2, V))) | (~ssSkC0)) | agent(skc2, skf12(V), V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause30')).
% 0.20/0.57 tff(547,plain,
% 0.20/0.57 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.20/0.57 tff(548,plain,
% 0.20/0.57 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[547, 543])).
% 0.20/0.57 tff(549,plain,(
% 0.20/0.57 ![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(skolemize,[status(sab)],[548])).
% 0.20/0.57 tff(550,plain,
% 0.20/0.57 (![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[549, 542])).
% 0.20/0.57 tff(551,plain,
% 0.20/0.57 (((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(552,plain,
% 0.20/0.57 (((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2))) <=> ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(553,plain,
% 0.20/0.57 (((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[552])).
% 0.20/0.57 tff(554,plain,
% 0.20/0.57 (((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))) <=> ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.20/0.57 inference(transitivity,[status(thm)],[553, 551])).
% 0.20/0.57 tff(555,plain,
% 0.20/0.57 ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | ((~ssSkC0) | (~customer(skc2, skf25(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~restaurant(skc2, skf20(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(556,plain,
% 0.20/0.57 ((~![V: $i, U: $i] : ((~ssSkC0) | (~customer(skc2, V)) | (~in(skc2, V, U)) | (~restaurant(skc2, U)) | agent(skc2, skf12(V), V))) | (~ssSkC0) | (~restaurant(skc2, skf20(skc2))) | (~in(skc2, skf25(skc2), skf20(skc2))) | (~customer(skc2, skf25(skc2))) | agent(skc2, skf12(skf25(skc2)), skf25(skc2))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[555, 554])).
% 0.20/0.57 tff(557,plain,
% 0.20/0.57 (agent(skc2, skf12(skf25(skc2)), skf25(skc2))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[556, 550, 271, 319, 304, 289])).
% 0.20/0.57 tff(558,plain,
% 0.20/0.57 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) <=> ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(559,plain,
% 0.20/0.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[558])).
% 0.20/0.57 tff(560,plain,
% 0.20/0.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(561,plain,
% 0.20/0.57 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) <=> ((~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U))))), (((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> (((~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, V))))), rewrite((((~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U))))), (((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) <=> ((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))))), ((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> (((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~see(U, V))))), rewrite((((~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U))))), ((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))))), (((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~patient(U, V, W))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, V, skf25(U)))) | (~patient(U, V, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~agent(U, X, W))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~agent(U, X, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~human_person(U, W))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~human_person(U, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~drink(U, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~drink(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~nonreflexive(U, X))))), rewrite((((~see(U, V)) | (~nonreflexive(U, 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(~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~patient(U, X, Y))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~patient(U, X, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) <=> ((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) <=> (((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~actual_world(U))))), rewrite((((~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) <=> ((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0)) <=> (((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~ssSkC0)))), rewrite((((~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U)))) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))), (((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0)) <=> ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))))),
% 0.46/0.58 inference(bind,[status(th)],[])).
% 0.46/0.58 tff(562,plain,
% 0.46/0.58 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.46/0.58 inference(quant_intro,[status(thm)],[561])).
% 0.46/0.58 tff(563,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((((((((((~event(U, V)) | (~agent(U, V, skf25(U)))) | (~past(U, V))) | (~nonreflexive(U, V))) | (~see(U, V))) | (~patient(U, V, W))) | (~agent(U, X, W))) | (~human_person(U, W))) | (~drink(U, X))) | (~nonreflexive(U, X))) | (~past(U, X))) | (~event(U, X))) | (~coffee(U, Y))) | (~patient(U, X, Y))) | (~actual_world(U))) | (~ssSkC0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause38')).
% 0.46/0.58 tff(564,plain,
% 0.46/0.58 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[563, 562])).
% 0.46/0.58 tff(565,plain,
% 0.46/0.58 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[564, 560])).
% 0.46/0.58 tff(566,plain,(
% 0.46/0.58 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.46/0.58 inference(skolemize,[status(sab)],[565])).
% 0.46/0.58 tff(567,plain,
% 0.46/0.58 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[566, 559])).
% 0.46/0.58 tff(568,plain,
% 0.46/0.58 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | (~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))))),
% 0.46/0.58 inference(rewrite,[status(thm)],[])).
% 0.46/0.58 tff(569,plain,
% 0.46/0.58 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | ((~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2))))),
% 0.46/0.59 inference(quant_inst,[status(thm)],[])).
% 0.46/0.59 tff(570,plain,
% 0.46/0.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssSkC0) | (~actual_world(U)) | (~see(U, V)) | (~nonreflexive(U, V)) | (~past(U, V)) | (~event(U, V)) | (~patient(U, X, Y)) | (~coffee(U, Y)) | (~event(U, X)) | (~past(U, X)) | (~nonreflexive(U, X)) | (~drink(U, X)) | (~human_person(U, W)) | (~agent(U, X, W)) | (~patient(U, V, W)) | (~agent(U, V, skf25(U))))) | (~ssSkC0) | (~actual_world(skc2)) | (~see(skc2, skf12(skf25(skc2)))) | (~nonreflexive(skc2, skf12(skf25(skc2)))) | (~past(skc2, skf12(skf25(skc2)))) | (~event(skc2, skf12(skf25(skc2)))) | (~patient(skc2, skf13(skf25(skc2)), skf14(skf25(skc2)))) | (~coffee(skc2, skf14(skf25(skc2)))) | (~event(skc2, skf13(skf25(skc2)))) | (~past(skc2, skf13(skf25(skc2)))) | (~nonreflexive(skc2, skf13(skf25(skc2)))) | (~drink(skc2, skf13(skf25(skc2)))) | (~human_person(skc2, skf15(skf25(skc2)))) | (~agent(skc2, skf13(skf25(skc2)), skf15(skf25(skc2)))) | (~patient(skc2, skf12(skf25(skc2)), skf15(skf25(skc2)))) | (~agent(skc2, skf12(skf25(skc2)), skf25(skc2)))),
% 0.46/0.59 inference(modus_ponens,[status(thm)],[569, 568])).
% 0.46/0.59 tff(571,plain,
% 0.46/0.59 ($false),
% 0.46/0.59 inference(unit_resolution,[status(thm)],[570, 284, 567, 271, 557, 540, 523, 506, 489, 472, 455, 438, 421, 404, 387, 370, 353, 336])).
% 0.46/0.59 % SZS output end Proof
%------------------------------------------------------------------------------