TSTP Solution File: MGT054-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT054-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 05:22:15 EDT 2022
% Result : Unsatisfiable 0.15s 0.38s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : MGT054-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.09 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Sep 2 02:48:13 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.29 Usage: tptp [options] [-file:]file
% 0.09/0.29 -h, -? prints this message.
% 0.09/0.29 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.29 -m, -model generate model.
% 0.09/0.29 -p, -proof generate proof.
% 0.09/0.29 -c, -core generate unsat core of named formulas.
% 0.09/0.29 -st, -statistics display statistics.
% 0.09/0.29 -t:timeout set timeout (in second).
% 0.09/0.29 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.29 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.29 -<param>:<value> configuration parameter and value.
% 0.09/0.29 -o:<output-file> file to place output in.
% 0.15/0.38 % SZS status Unsatisfiable
% 0.15/0.38 % SZS output start Proof
% 0.15/0.38 tff(greater_type, type, (
% 0.15/0.38 greater: ( $i * $i ) > $o)).
% 0.15/0.38 tff(age_type, type, (
% 0.15/0.38 age: ( $i * $i ) > $i)).
% 0.15/0.38 tff(sk3_type, type, (
% 0.15/0.38 sk3: $i)).
% 0.15/0.38 tff(sk1_type, type, (
% 0.15/0.38 sk1: $i)).
% 0.15/0.38 tff(sigma_type, type, (
% 0.15/0.38 sigma: $i)).
% 0.15/0.38 tff(smaller_type, type, (
% 0.15/0.38 smaller: ( $i * $i ) > $o)).
% 0.15/0.38 tff(dissimilar_type, type, (
% 0.15/0.38 dissimilar: ( $i * $i * $i ) > $o)).
% 0.15/0.38 tff(sk2_type, type, (
% 0.15/0.38 sk2: $i)).
% 0.15/0.38 tff(is_aligned_type, type, (
% 0.15/0.38 is_aligned: ( $i * $i ) > $o)).
% 0.15/0.38 tff(capability_type, type, (
% 0.15/0.38 capability: ( $i * $i ) > $i)).
% 0.15/0.38 tff(sk4_type, type, (
% 0.15/0.38 sk4: $i)).
% 0.15/0.38 tff(has_immunity_type, type, (
% 0.15/0.38 has_immunity: ( $i * $i ) > $o)).
% 0.15/0.38 tff(has_endowment_type, type, (
% 0.15/0.38 has_endowment: $i > $o)).
% 0.15/0.38 tff(organization_type, type, (
% 0.15/0.38 organization: $i > $o)).
% 0.15/0.38 tff(hazard_of_mortality_type, type, (
% 0.15/0.38 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.15/0.38 tff(zero_type, type, (
% 0.15/0.38 zero: $i)).
% 0.15/0.38 tff(smaller_or_equal_type, type, (
% 0.15/0.38 smaller_or_equal: ( $i * $i ) > $o)).
% 0.15/0.38 tff(1,assumption,(has_immunity(sk1, sk4)), introduced(assumption)).
% 0.15/0.38 tff(2,plain,
% 0.15/0.38 ((~has_endowment(sk1)) <=> (~has_endowment(sk1))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(3,axiom,(~has_endowment(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_53')).
% 0.15/0.38 tff(4,plain,
% 0.15/0.38 (~has_endowment(sk1)),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.15/0.38 tff(5,plain,
% 0.15/0.38 (organization(sk1) <=> organization(sk1)),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(6,axiom,(organization(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_52')).
% 0.15/0.38 tff(7,plain,
% 0.15/0.38 (organization(sk1)),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.15/0.38 tff(8,plain,
% 0.15/0.38 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.15/0.38 inference(bind,[status(th)],[])).
% 0.15/0.38 tff(9,plain,
% 0.15/0.38 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(quant_intro,[status(thm)],[8])).
% 0.15/0.38 tff(10,plain,
% 0.15/0.38 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(11,plain,
% 0.15/0.38 (^[B: $i, A: $i] : trans(monotonicity(rewrite(((~organization(A)) | has_endowment(A)) <=> (has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))))), rewrite(((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))))),
% 0.15/0.38 inference(bind,[status(th)],[])).
% 0.15/0.38 tff(12,plain,
% 0.15/0.38 (![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(quant_intro,[status(thm)],[11])).
% 0.15/0.38 tff(13,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_38')).
% 0.15/0.38 tff(14,plain,
% 0.15/0.38 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.15/0.38 tff(15,plain,
% 0.15/0.38 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.15/0.38 tff(16,plain,(
% 0.15/0.38 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(skolemize,[status(sab)],[15])).
% 0.15/0.38 tff(17,plain,
% 0.15/0.38 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.15/0.38 tff(18,plain,
% 0.15/0.38 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk4)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk4)))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(19,plain,
% 0.15/0.38 (((~has_immunity(sk1, sk4)) | has_endowment(sk1) | (~organization(sk1))) <=> (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk4)))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(20,plain,
% 0.15/0.38 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk4)) | has_endowment(sk1) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk4))))),
% 0.15/0.38 inference(monotonicity,[status(thm)],[19])).
% 0.15/0.38 tff(21,plain,
% 0.15/0.38 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk4)) | has_endowment(sk1) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk4)))),
% 0.15/0.38 inference(transitivity,[status(thm)],[20, 18])).
% 0.15/0.38 tff(22,plain,
% 0.15/0.38 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk4)) | has_endowment(sk1) | (~organization(sk1)))),
% 0.15/0.38 inference(quant_inst,[status(thm)],[])).
% 0.15/0.38 tff(23,plain,
% 0.15/0.38 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk4))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.15/0.38 tff(24,plain,
% 0.15/0.38 ($false),
% 0.15/0.38 inference(unit_resolution,[status(thm)],[23, 17, 7, 4, 1])).
% 0.15/0.38 tff(25,plain,(~has_immunity(sk1, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.38 tff(26,assumption,(greater(capability(sk1, sk3), capability(sk1, sk4))), introduced(assumption)).
% 0.15/0.38 tff(27,assumption,(~has_immunity(sk1, sk4)), introduced(assumption)).
% 0.15/0.38 tff(28,plain,
% 0.15/0.38 ((~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3))) <=> (~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(29,axiom,(~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_58')).
% 0.15/0.38 tff(30,plain,
% 0.15/0.38 (~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.15/0.38 tff(31,plain,
% 0.15/0.38 (^[B: $i, A: $i, C: $i] : refl((greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.15/0.38 inference(bind,[status(th)],[])).
% 0.15/0.38 tff(32,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(quant_intro,[status(thm)],[31])).
% 0.15/0.38 tff(33,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(34,plain,
% 0.15/0.38 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) <=> (has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ((has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite(((has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))))),
% 0.15/0.38 inference(bind,[status(th)],[])).
% 0.15/0.38 tff(35,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(quant_intro,[status(thm)],[34])).
% 0.15/0.38 tff(36,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_3_39')).
% 0.15/0.38 tff(37,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.15/0.38 tff(38,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.15/0.38 tff(39,plain,(
% 0.15/0.38 ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(skolemize,[status(sab)],[38])).
% 0.15/0.38 tff(40,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.15/0.38 tff(41,plain,
% 0.15/0.38 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3)) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3)) | (~organization(sk1)))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(42,plain,
% 0.15/0.38 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3)) | (~organization(sk1)))),
% 0.15/0.38 inference(quant_inst,[status(thm)],[])).
% 0.15/0.38 tff(43,plain,
% 0.15/0.38 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3)) | (~organization(sk1))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.15/0.38 tff(44,plain,
% 0.15/0.38 (has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3))),
% 0.15/0.38 inference(unit_resolution,[status(thm)],[43, 40, 7, 30])).
% 0.15/0.38 tff(45,plain,
% 0.15/0.38 (~has_immunity(sk1, sk3)),
% 0.15/0.38 inference(unit_resolution,[status(thm)],[44, 27])).
% 0.15/0.38 tff(46,plain,
% 0.15/0.38 (^[B: $i, A: $i, C: $i] : refl((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))))),
% 0.15/0.38 inference(bind,[status(th)],[])).
% 0.15/0.38 tff(47,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(quant_intro,[status(thm)],[46])).
% 0.15/0.38 tff(48,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(49,plain,
% 0.15/0.38 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B))))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))))),
% 0.15/0.38 inference(bind,[status(th)],[])).
% 0.15/0.38 tff(50,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(quant_intro,[status(thm)],[49])).
% 0.15/0.38 tff(51,axiom,(![B: $i, A: $i, C: $i] : (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_16_51')).
% 0.15/0.38 tff(52,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.15/0.38 tff(53,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.15/0.38 tff(54,plain,(
% 0.15/0.38 ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(skolemize,[status(sab)],[53])).
% 0.15/0.38 tff(55,plain,
% 0.15/0.38 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.15/0.38 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.15/0.38 tff(56,plain,
% 0.15/0.38 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(57,plain,
% 0.15/0.38 ((has_immunity(sk1, sk3) | has_immunity(sk1, sk4) | (~organization(sk1)) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))) <=> (greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.15/0.38 inference(rewrite,[status(thm)],[])).
% 0.15/0.38 tff(58,plain,
% 0.15/0.38 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk3) | has_immunity(sk1, sk4) | (~organization(sk1)) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))))),
% 0.15/0.38 inference(monotonicity,[status(thm)],[57])).
% 0.15/0.38 tff(59,plain,
% 0.15/0.38 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk3) | has_immunity(sk1, sk4) | (~organization(sk1)) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.15/0.39 inference(transitivity,[status(thm)],[58, 56])).
% 0.15/0.39 tff(60,plain,
% 0.15/0.39 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk3) | has_immunity(sk1, sk4) | (~organization(sk1)) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.15/0.39 inference(quant_inst,[status(thm)],[])).
% 0.15/0.39 tff(61,plain,
% 0.15/0.39 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.15/0.39 tff(62,plain,
% 0.15/0.39 (has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))),
% 0.15/0.39 inference(unit_resolution,[status(thm)],[61, 55, 7, 30])).
% 0.15/0.39 tff(63,plain,
% 0.15/0.39 ($false),
% 0.15/0.39 inference(unit_resolution,[status(thm)],[62, 45, 27, 26])).
% 0.15/0.39 tff(64,plain,(has_immunity(sk1, sk4) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))), inference(lemma,lemma(discharge,[]))).
% 0.15/0.39 tff(65,plain,
% 0.15/0.39 (~greater(capability(sk1, sk3), capability(sk1, sk4))),
% 0.15/0.39 inference(unit_resolution,[status(thm)],[64, 25])).
% 0.15/0.39 tff(66,plain,
% 0.15/0.39 (greater(age(sk1, sk4), sigma) <=> greater(age(sk1, sk4), sigma)),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(67,axiom,(greater(age(sk1, sk4), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_56')).
% 0.15/0.39 tff(68,plain,
% 0.15/0.39 (greater(age(sk1, sk4), sigma)),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.15/0.39 tff(69,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2)))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(70,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2)))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[69])).
% 0.15/0.39 tff(71,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk1, sk2)))), ((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2)))))), rewrite((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))), ((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(72,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[71])).
% 0.15/0.39 tff(73,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(74,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) <=> ((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)))), rewrite((((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(75,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[74])).
% 0.15/0.39 tff(76,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15_49')).
% 0.15/0.39 tff(77,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.15/0.39 tff(78,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.15/0.39 tff(79,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[78, 72])).
% 0.15/0.39 tff(80,plain,(
% 0.15/0.39 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(skolemize,[status(sab)],[79])).
% 0.15/0.39 tff(81,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[80, 70])).
% 0.15/0.39 tff(82,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | (~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(83,plain,
% 0.15/0.39 ((dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | $false) <=> ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(84,plain,
% 0.15/0.39 ((~$true) <=> $false),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(85,plain,
% 0.15/0.39 ((age(sk1, sk2) = age(sk1, sk2)) <=> $true),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(86,plain,
% 0.15/0.39 ((~(age(sk1, sk2) = age(sk1, sk2))) <=> (~$true)),
% 0.15/0.39 inference(monotonicity,[status(thm)],[85])).
% 0.15/0.39 tff(87,plain,
% 0.15/0.39 ((~(age(sk1, sk2) = age(sk1, sk2))) <=> $false),
% 0.15/0.39 inference(transitivity,[status(thm)],[86, 84])).
% 0.15/0.39 tff(88,plain,
% 0.15/0.39 ((dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = age(sk1, sk2)))) <=> (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | $false)),
% 0.15/0.39 inference(monotonicity,[status(thm)],[87])).
% 0.15/0.39 tff(89,plain,
% 0.15/0.39 ((dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = age(sk1, sk2)))) <=> ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4))),
% 0.15/0.39 inference(transitivity,[status(thm)],[88, 83])).
% 0.15/0.39 tff(90,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4)))),
% 0.15/0.39 inference(monotonicity,[status(thm)],[89])).
% 0.15/0.39 tff(91,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | (~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4))),
% 0.15/0.39 inference(transitivity,[status(thm)],[90, 82])).
% 0.15/0.39 tff(92,plain,
% 0.15/0.39 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = age(sk1, sk2))))),
% 0.15/0.39 inference(quant_inst,[status(thm)],[])).
% 0.15/0.39 tff(93,plain,
% 0.15/0.39 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk1, sk2))))) | (~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | dissimilar(sk1, sk2, sk4)),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.15/0.39 tff(94,plain,
% 0.15/0.39 (dissimilar(sk1, sk2, sk4)),
% 0.15/0.39 inference(unit_resolution,[status(thm)],[93, 81, 7, 68])).
% 0.15/0.39 tff(95,plain,
% 0.15/0.39 (^[B: $i, A: $i] : refl(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2)))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2)))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(96,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2)))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[95])).
% 0.15/0.39 tff(97,plain,
% 0.15/0.39 (^[B: $i, A: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk1, sk2)))), (((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2)))))), rewrite(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2)))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))), (((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(98,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[97])).
% 0.15/0.39 tff(99,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(100,plain,
% 0.15/0.39 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(101,plain,
% 0.15/0.39 (![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[100])).
% 0.15/0.39 tff(102,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13_47')).
% 0.15/0.39 tff(103,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.15/0.39 tff(104,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.15/0.39 tff(105,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[104, 98])).
% 0.15/0.39 tff(106,plain,(
% 0.15/0.39 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(skolemize,[status(sab)],[105])).
% 0.15/0.39 tff(107,plain,
% 0.15/0.39 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[106, 96])).
% 0.15/0.39 tff(108,plain,
% 0.15/0.39 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | is_aligned(sk1, sk2))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | (~organization(sk1)) | is_aligned(sk1, sk2))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(109,plain,
% 0.15/0.39 (((~organization(sk1)) | is_aligned(sk1, sk2) | $false) <=> ((~organization(sk1)) | is_aligned(sk1, sk2))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(110,plain,
% 0.15/0.39 (((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = age(sk1, sk2)))) <=> ((~organization(sk1)) | is_aligned(sk1, sk2) | $false)),
% 0.15/0.39 inference(monotonicity,[status(thm)],[87])).
% 0.15/0.39 tff(111,plain,
% 0.15/0.39 (((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = age(sk1, sk2)))) <=> ((~organization(sk1)) | is_aligned(sk1, sk2))),
% 0.15/0.39 inference(transitivity,[status(thm)],[110, 109])).
% 0.15/0.39 tff(112,plain,
% 0.15/0.39 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = age(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | is_aligned(sk1, sk2)))),
% 0.15/0.39 inference(monotonicity,[status(thm)],[111])).
% 0.15/0.39 tff(113,plain,
% 0.15/0.39 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = age(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | (~organization(sk1)) | is_aligned(sk1, sk2))),
% 0.15/0.39 inference(transitivity,[status(thm)],[112, 108])).
% 0.15/0.39 tff(114,plain,
% 0.15/0.39 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = age(sk1, sk2))))),
% 0.15/0.39 inference(quant_inst,[status(thm)],[])).
% 0.15/0.39 tff(115,plain,
% 0.15/0.39 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk1, sk2))))) | (~organization(sk1)) | is_aligned(sk1, sk2)),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.15/0.39 tff(116,plain,
% 0.15/0.39 (is_aligned(sk1, sk2)),
% 0.15/0.39 inference(unit_resolution,[status(thm)],[115, 107, 7])).
% 0.15/0.39 tff(117,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(118,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[117])).
% 0.15/0.39 tff(119,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(120,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite(((~dissimilar(A, B, C)) | (~is_aligned(A, B))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, B)))), ((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))))), rewrite((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))), ((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(121,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[120])).
% 0.15/0.39 tff(122,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_42')).
% 0.15/0.39 tff(123,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.15/0.39 tff(124,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[123, 119])).
% 0.15/0.39 tff(125,plain,(
% 0.15/0.39 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(skolemize,[status(sab)],[124])).
% 0.15/0.39 tff(126,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[125, 118])).
% 0.15/0.39 tff(127,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(128,plain,
% 0.15/0.39 (((~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)) | (~is_aligned(sk1, sk2))) <=> ((~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(129,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)) | (~is_aligned(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4))))),
% 0.15/0.39 inference(monotonicity,[status(thm)],[128])).
% 0.15/0.39 tff(130,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)) | (~is_aligned(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)))),
% 0.15/0.39 inference(transitivity,[status(thm)],[129, 127])).
% 0.15/0.39 tff(131,plain,
% 0.15/0.39 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)) | (~is_aligned(sk1, sk2)))),
% 0.15/0.39 inference(quant_inst,[status(thm)],[])).
% 0.15/0.39 tff(132,plain,
% 0.15/0.39 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.15/0.39 tff(133,plain,
% 0.15/0.39 (~is_aligned(sk1, sk4)),
% 0.15/0.39 inference(unit_resolution,[status(thm)],[132, 126, 116, 94])).
% 0.15/0.39 tff(134,assumption,(is_aligned(sk1, sk3)), introduced(assumption)).
% 0.15/0.39 tff(135,assumption,(~greater(capability(sk1, sk3), capability(sk1, sk4))), introduced(assumption)).
% 0.15/0.39 tff(136,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : refl((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(137,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[136])).
% 0.15/0.39 tff(138,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(139,plain,
% 0.15/0.39 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C))) <=> ((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | greater(capability(A, B), capability(A, C))))), rewrite(((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | greater(capability(A, B), capability(A, C))) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C))) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))))),
% 0.15/0.39 inference(bind,[status(th)],[])).
% 0.15/0.39 tff(140,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(quant_intro,[status(thm)],[139])).
% 0.15/0.39 tff(141,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_14_48')).
% 0.15/0.39 tff(142,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.15/0.39 tff(143,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[142, 138])).
% 0.15/0.39 tff(144,plain,(
% 0.15/0.39 ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(skolemize,[status(sab)],[143])).
% 0.15/0.39 tff(145,plain,
% 0.15/0.39 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.15/0.39 inference(modus_ponens,[status(thm)],[144, 137])).
% 0.15/0.39 tff(146,plain,
% 0.15/0.39 (((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | ((~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3)))),
% 0.15/0.39 inference(rewrite,[status(thm)],[])).
% 0.15/0.39 tff(147,plain,
% 0.15/0.39 ((is_aligned(sk1, sk4) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | greater(capability(sk1, sk3), capability(sk1, sk4))) <=> ((~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(148,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (is_aligned(sk1, sk4) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | greater(capability(sk1, sk3), capability(sk1, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | ((~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3))))),
% 0.15/0.40 inference(monotonicity,[status(thm)],[147])).
% 0.15/0.40 tff(149,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (is_aligned(sk1, sk4) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | greater(capability(sk1, sk3), capability(sk1, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3)))),
% 0.15/0.40 inference(transitivity,[status(thm)],[148, 146])).
% 0.15/0.40 tff(150,plain,
% 0.15/0.40 ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (is_aligned(sk1, sk4) | (~organization(sk1)) | (~is_aligned(sk1, sk3)) | greater(capability(sk1, sk3), capability(sk1, sk4)))),
% 0.15/0.40 inference(quant_inst,[status(thm)],[])).
% 0.15/0.40 tff(151,plain,
% 0.15/0.40 ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.15/0.40 tff(152,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[151, 145, 7, 135, 134, 133])).
% 0.15/0.40 tff(153,plain,(greater(capability(sk1, sk3), capability(sk1, sk4)) | (~is_aligned(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(154,plain,
% 0.15/0.40 (~is_aligned(sk1, sk3)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[153, 65])).
% 0.15/0.40 tff(155,plain,
% 0.15/0.40 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(156,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[155])).
% 0.15/0.40 tff(157,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(158,plain,
% 0.15/0.40 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | dissimilar(A, B, C)))), rewrite(((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(159,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[158])).
% 0.15/0.40 tff(160,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_44')).
% 0.15/0.40 tff(161,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.15/0.40 tff(162,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.15/0.40 tff(163,plain,(
% 0.15/0.40 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(skolemize,[status(sab)],[162])).
% 0.15/0.40 tff(164,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.15/0.40 tff(165,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | ((~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(166,plain,
% 0.15/0.40 ((dissimilar(sk1, sk2, sk3) | is_aligned(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk2))) <=> ((~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(167,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (dissimilar(sk1, sk2, sk3) | is_aligned(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | ((~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3)))),
% 0.15/0.40 inference(monotonicity,[status(thm)],[166])).
% 0.15/0.40 tff(168,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (dissimilar(sk1, sk2, sk3) | is_aligned(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3))),
% 0.15/0.40 inference(transitivity,[status(thm)],[167, 165])).
% 0.15/0.40 tff(169,plain,
% 0.15/0.40 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (dissimilar(sk1, sk2, sk3) | is_aligned(sk1, sk3) | (~organization(sk1)) | (~is_aligned(sk1, sk2)))),
% 0.15/0.40 inference(quant_inst,[status(thm)],[])).
% 0.15/0.40 tff(170,plain,
% 0.15/0.40 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3)),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.15/0.40 tff(171,plain,
% 0.15/0.40 (is_aligned(sk1, sk3) | dissimilar(sk1, sk2, sk3)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[170, 164, 7, 116])).
% 0.15/0.40 tff(172,plain,
% 0.15/0.40 (dissimilar(sk1, sk2, sk3)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[171, 154])).
% 0.15/0.40 tff(173,assumption,(~greater(age(sk1, sk3), sigma)), introduced(assumption)).
% 0.15/0.40 tff(174,assumption,(dissimilar(sk1, sk2, sk3)), introduced(assumption)).
% 0.15/0.40 tff(175,plain,
% 0.15/0.40 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2)))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(176,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2)))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[175])).
% 0.15/0.40 tff(177,plain,
% 0.15/0.40 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk1, sk2)))), (((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2)))))), rewrite(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))), (((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(178,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[177])).
% 0.15/0.40 tff(179,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(180,plain,
% 0.15/0.40 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> (((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)))), rewrite((((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(181,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[180])).
% 0.15/0.40 tff(182,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15_50')).
% 0.15/0.40 tff(183,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.15/0.40 tff(184,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[183, 179])).
% 0.15/0.40 tff(185,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[184, 178])).
% 0.15/0.40 tff(186,plain,(
% 0.15/0.40 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.40 inference(skolemize,[status(sab)],[185])).
% 0.15/0.40 tff(187,plain,
% 0.15/0.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[186, 176])).
% 0.15/0.40 tff(188,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(189,plain,
% 0.15/0.40 (((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | $false) <=> ((~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(190,plain,
% 0.15/0.40 (((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = age(sk1, sk2)))) <=> ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | $false)),
% 0.15/0.40 inference(monotonicity,[status(thm)],[87])).
% 0.15/0.40 tff(191,plain,
% 0.15/0.40 (((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = age(sk1, sk2)))) <=> ((~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.15/0.40 inference(transitivity,[status(thm)],[190, 189])).
% 0.15/0.40 tff(192,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | ((~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3))))),
% 0.15/0.40 inference(monotonicity,[status(thm)],[191])).
% 0.15/0.40 tff(193,plain,
% 0.15/0.40 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.15/0.40 inference(transitivity,[status(thm)],[192, 188])).
% 0.15/0.40 tff(194,plain,
% 0.15/0.40 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = age(sk1, sk2))))),
% 0.15/0.40 inference(quant_inst,[status(thm)],[])).
% 0.15/0.40 tff(195,plain,
% 0.15/0.40 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk1, sk2))))) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.15/0.40 tff(196,plain,
% 0.15/0.40 ($false),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[195, 187, 7, 174, 173])).
% 0.15/0.40 tff(197,plain,((~dissimilar(sk1, sk2, sk3)) | greater(age(sk1, sk3), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.15/0.40 tff(198,plain,
% 0.15/0.40 (greater(age(sk1, sk3), sigma)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[197, 172])).
% 0.15/0.40 tff(199,plain,
% 0.15/0.40 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(200,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[199])).
% 0.15/0.40 tff(201,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(202,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_strict_9')).
% 0.15/0.40 tff(203,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.15/0.40 tff(204,plain,(
% 0.15/0.40 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.15/0.40 inference(skolemize,[status(sab)],[203])).
% 0.15/0.40 tff(205,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[204, 200])).
% 0.15/0.40 tff(206,plain,
% 0.15/0.40 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk1, sk3))) | (~greater(age(sk1, sk3), sigma)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk1, sk3))) | (~greater(age(sk1, sk3), sigma)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(207,plain,
% 0.15/0.40 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk1, sk3))) | (~greater(age(sk1, sk3), sigma)))),
% 0.15/0.40 inference(quant_inst,[status(thm)],[])).
% 0.15/0.40 tff(208,plain,
% 0.15/0.40 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk1, sk3))) | (~greater(age(sk1, sk3), sigma))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.15/0.40 tff(209,plain,
% 0.15/0.40 (~greater(sigma, age(sk1, sk3))),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[208, 205, 198])).
% 0.15/0.40 tff(210,plain,
% 0.15/0.40 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(211,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.15/0.40 inference(quant_intro,[status(thm)],[210])).
% 0.15/0.40 tff(212,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(213,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.15/0.40 tff(214,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.15/0.40 tff(215,plain,(
% 0.15/0.40 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.15/0.40 inference(skolemize,[status(sab)],[214])).
% 0.15/0.40 tff(216,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[215, 211])).
% 0.15/0.40 tff(217,plain,
% 0.15/0.40 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk1, sk3), sigma)) | greater(sigma, age(sk1, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk1, sk3), sigma)) | greater(sigma, age(sk1, sk3)))),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(218,plain,
% 0.15/0.40 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk1, sk3), sigma)) | greater(sigma, age(sk1, sk3)))),
% 0.15/0.40 inference(quant_inst,[status(thm)],[])).
% 0.15/0.40 tff(219,plain,
% 0.15/0.40 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk1, sk3), sigma)) | greater(sigma, age(sk1, sk3))),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.15/0.40 tff(220,plain,
% 0.15/0.40 (~smaller(age(sk1, sk3), sigma)),
% 0.15/0.40 inference(unit_resolution,[status(thm)],[219, 216, 209])).
% 0.15/0.40 tff(221,plain,
% 0.15/0.40 (smaller_or_equal(age(sk1, sk3), sigma) <=> smaller_or_equal(age(sk1, sk3), sigma)),
% 0.15/0.40 inference(rewrite,[status(thm)],[])).
% 0.15/0.40 tff(222,axiom,(smaller_or_equal(age(sk1, sk3), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_55')).
% 0.15/0.40 tff(223,plain,
% 0.15/0.40 (smaller_or_equal(age(sk1, sk3), sigma)),
% 0.15/0.40 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.15/0.40 tff(224,plain,
% 0.15/0.40 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.15/0.40 inference(bind,[status(th)],[])).
% 0.15/0.40 tff(225,plain,
% 0.15/0.40 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(quant_intro,[status(thm)],[224])).
% 0.15/0.41 tff(226,plain,
% 0.15/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(rewrite,[status(thm)],[])).
% 0.15/0.41 tff(227,plain,
% 0.15/0.41 (^[B: $i, A: $i] : rewrite((((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.15/0.41 inference(bind,[status(th)],[])).
% 0.15/0.41 tff(228,plain,
% 0.15/0.41 (![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(quant_intro,[status(thm)],[227])).
% 0.15/0.41 tff(229,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 0.15/0.41 tff(230,plain,
% 0.15/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.15/0.41 tff(231,plain,
% 0.15/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(modus_ponens,[status(thm)],[230, 226])).
% 0.15/0.41 tff(232,plain,(
% 0.15/0.41 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(skolemize,[status(sab)],[231])).
% 0.15/0.41 tff(233,plain,
% 0.15/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.15/0.41 inference(modus_ponens,[status(thm)],[232, 225])).
% 0.15/0.41 tff(234,plain,
% 0.15/0.41 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma) | (~smaller_or_equal(age(sk1, sk3), sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma) | (~smaller_or_equal(age(sk1, sk3), sigma)))),
% 0.15/0.41 inference(rewrite,[status(thm)],[])).
% 0.15/0.41 tff(235,plain,
% 0.15/0.41 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma) | (~smaller_or_equal(age(sk1, sk3), sigma)))),
% 0.15/0.41 inference(quant_inst,[status(thm)],[])).
% 0.15/0.41 tff(236,plain,
% 0.15/0.41 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma) | (~smaller_or_equal(age(sk1, sk3), sigma))),
% 0.15/0.41 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.15/0.41 tff(237,plain,
% 0.15/0.41 ((age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma)),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[236, 233, 223])).
% 0.15/0.41 tff(238,plain,
% 0.15/0.41 (age(sk1, sk3) = sigma),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[237, 220])).
% 0.15/0.41 tff(239,plain,
% 0.15/0.41 (sigma = age(sk1, sk3)),
% 0.15/0.41 inference(symmetry,[status(thm)],[238])).
% 0.15/0.41 tff(240,plain,
% 0.15/0.41 (greater(sigma, age(sk1, sk3)) <=> greater(age(sk1, sk3), sigma)),
% 0.15/0.41 inference(monotonicity,[status(thm)],[239, 238])).
% 0.15/0.41 tff(241,plain,
% 0.15/0.41 (greater(age(sk1, sk3), sigma) <=> greater(sigma, age(sk1, sk3))),
% 0.15/0.41 inference(symmetry,[status(thm)],[240])).
% 0.15/0.41 tff(242,plain,
% 0.15/0.41 (greater(sigma, age(sk1, sk3))),
% 0.15/0.41 inference(modus_ponens,[status(thm)],[198, 241])).
% 0.15/0.41 tff(243,plain,
% 0.15/0.41 ($false),
% 0.15/0.41 inference(unit_resolution,[status(thm)],[209, 242])).
% 0.15/0.41 % SZS output end Proof
%------------------------------------------------------------------------------