%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT054-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:08 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT054-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:28:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.43 % SZS status Unsatisfiable
% 0.12/0.43 % SZS output start Proof
% 0.12/0.43 tff(greater_type, type, (
% 0.12/0.43 greater: ( $i * $i ) > $o)).
% 0.12/0.43 tff(age_type, type, (
% 0.12/0.43 age: ( $i * $i ) > $i)).
% 0.12/0.43 tff(sk3_type, type, (
% 0.12/0.43 sk3: $i)).
% 0.12/0.43 tff(sk1_type, type, (
% 0.12/0.43 sk1: $i)).
% 0.12/0.43 tff(sigma_type, type, (
% 0.12/0.43 sigma: $i)).
% 0.12/0.43 tff(smaller_type, type, (
% 0.12/0.43 smaller: ( $i * $i ) > $o)).
% 0.12/0.43 tff(dissimilar_type, type, (
% 0.12/0.43 dissimilar: ( $i * $i * $i ) > $o)).
% 0.12/0.43 tff(sk2_type, type, (
% 0.12/0.43 sk2: $i)).
% 0.12/0.43 tff(is_aligned_type, type, (
% 0.12/0.43 is_aligned: ( $i * $i ) > $o)).
% 0.12/0.43 tff(capability_type, type, (
% 0.12/0.43 capability: ( $i * $i ) > $i)).
% 0.12/0.43 tff(sk4_type, type, (
% 0.12/0.43 sk4: $i)).
% 0.12/0.43 tff(has_immunity_type, type, (
% 0.12/0.43 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.43 tff(has_endowment_type, type, (
% 0.12/0.43 has_endowment: $i > $o)).
% 0.12/0.43 tff(organization_type, type, (
% 0.12/0.43 organization: $i > $o)).
% 0.12/0.43 tff(hazard_of_mortality_type, type, (
% 0.12/0.43 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.43 tff(zero_type, type, (
% 0.12/0.43 zero: $i)).
% 0.12/0.43 tff(smaller_or_equal_type, type, (
% 0.12/0.43 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.43 tff(1,assumption,(~dissimilar(sk1, sk2, sk3)), introduced(assumption)).
% 0.12/0.43 tff(2,assumption,(has_immunity(sk1, sk4)), introduced(assumption)).
% 0.12/0.43 tff(3,plain,
% 0.12/0.43 ((~has_endowment(sk1)) <=> (~has_endowment(sk1))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(4,axiom,(~has_endowment(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_53')).
% 0.12/0.43 tff(5,plain,
% 0.12/0.43 (~has_endowment(sk1)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.43 tff(6,plain,
% 0.12/0.43 (organization(sk1) <=> organization(sk1)),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(7,axiom,(organization(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_52')).
% 0.12/0.43 tff(8,plain,
% 0.12/0.43 (organization(sk1)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.12/0.43 tff(9,plain,
% 0.12/0.43 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(10,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[9])).
% 0.12/0.43 tff(11,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(12,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(13,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[12])).
% 0.12/0.43 tff(14,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_38')).
% 0.12/0.43 tff(15,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.12/0.43 tff(16,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.12/0.43 tff(17,plain,(
% 0.12/0.43 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[16])).
% 0.12/0.43 tff(18,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.12/0.43 tff(19,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~has_immunity(sk1, sk4)) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~has_immunity(sk1, sk4)) | (~organization(sk1)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(20,plain,
% 0.12/0.43 (((~has_immunity(sk1, sk4)) | has_endowment(sk1) | (~organization(sk1))) <=> (has_endowment(sk1) | (~has_immunity(sk1, sk4)) | (~organization(sk1)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(21,plain,
% 0.12/0.43 (((~![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) | (~has_immunity(sk1, sk4)) | (~organization(sk1))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[20])).
% 0.12/0.43 tff(22,plain,
% 0.12/0.43 (((~![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) | (~has_immunity(sk1, sk4)) | (~organization(sk1)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[21, 19])).
% 0.12/0.43 tff(23,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk4)) | has_endowment(sk1) | (~organization(sk1)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(24,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~has_immunity(sk1, sk4)) | (~organization(sk1))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.12/0.43 tff(25,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[24, 18, 8, 5, 2])).
% 0.12/0.43 tff(26,plain,(~has_immunity(sk1, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(27,assumption,(greater(capability(sk1, sk3), capability(sk1, sk4))), introduced(assumption)).
% 0.12/0.43 tff(28,assumption,(~has_immunity(sk1, sk4)), introduced(assumption)).
% 0.12/0.43 tff(29,plain,
% 0.12/0.43 ((~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3))) <=> (~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(30,axiom,(~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_58')).
% 0.12/0.43 tff(31,plain,
% 0.12/0.43 (~greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.43 tff(32,plain,
% 0.12/0.43 (^[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))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(33,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[32])).
% 0.12/0.43 tff(34,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(35,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(36,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[35])).
% 0.12/0.43 tff(37,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')).
% 0.12/0.43 tff(38,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.12/0.43 tff(39,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.12/0.43 tff(40,plain,(
% 0.12/0.43 ![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)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[39])).
% 0.12/0.43 tff(41,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.12/0.43 tff(42,plain,
% 0.12/0.43 (((~![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) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))) <=> ((~![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) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(43,plain,
% 0.12/0.43 ((greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3)) | (~organization(sk1))) <=> (greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(44,plain,
% 0.12/0.43 (((~![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) | (~organization(sk1)) | (~has_immunity(sk1, sk3))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[43])).
% 0.12/0.43 tff(45,plain,
% 0.12/0.43 (((~![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) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[44, 42])).
% 0.12/0.43 tff(46,plain,
% 0.12/0.43 ((~![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)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(47,plain,
% 0.12/0.43 ((~![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) | (~organization(sk1)) | (~has_immunity(sk1, sk3))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.12/0.43 tff(48,plain,
% 0.12/0.43 (has_immunity(sk1, sk4) | (~has_immunity(sk1, sk3))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[47, 41, 8, 31])).
% 0.12/0.43 tff(49,plain,
% 0.12/0.43 (~has_immunity(sk1, sk3)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[48, 28])).
% 0.12/0.43 tff(50,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(51,plain,
% 0.12/0.43 (![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))))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[50])).
% 0.12/0.43 tff(52,plain,
% 0.12/0.43 (![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))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(53,plain,
% 0.12/0.43 (^[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))))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(54,plain,
% 0.12/0.43 (![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))))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[53])).
% 0.12/0.43 tff(55,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')).
% 0.12/0.43 tff(56,plain,
% 0.12/0.43 (![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))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.12/0.43 tff(57,plain,
% 0.12/0.43 (![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))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.12/0.43 tff(58,plain,(
% 0.12/0.43 ![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))))),
% 0.12/0.43 inference(skolemize,[status(sab)],[57])).
% 0.12/0.43 tff(59,plain,
% 0.12/0.43 (![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))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[58, 51])).
% 0.12/0.43 tff(60,plain,
% 0.12/0.43 (((~![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) | (~organization(sk1)) | has_immunity(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) | (~organization(sk1)) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(61,plain,
% 0.12/0.43 ((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) | (~organization(sk1)) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(62,plain,
% 0.12/0.43 (((~![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) | (~organization(sk1)) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[61])).
% 0.12/0.43 tff(63,plain,
% 0.12/0.43 (((~![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) | (~organization(sk1)) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4))))),
% 0.12/0.43 inference(transitivity,[status(thm)],[62, 60])).
% 0.12/0.43 tff(64,plain,
% 0.12/0.43 ((~![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))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(65,plain,
% 0.12/0.43 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk1, sk4), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk4) | (~organization(sk1)) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.43 tff(66,plain,
% 0.12/0.43 (has_immunity(sk1, sk4) | has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[65, 59, 8, 31])).
% 0.12/0.43 tff(67,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[66, 49, 28, 27])).
% 0.12/0.43 tff(68,plain,(has_immunity(sk1, sk4) | (~greater(capability(sk1, sk3), capability(sk1, sk4)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(69,plain,
% 0.12/0.43 (~greater(capability(sk1, sk3), capability(sk1, sk4))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[68, 26])).
% 0.12/0.43 tff(70,plain,
% 0.12/0.43 (greater(age(sk1, sk4), sigma) <=> greater(age(sk1, sk4), sigma)),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(71,axiom,(greater(age(sk1, sk4), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_56')).
% 0.12/0.43 tff(72,plain,
% 0.12/0.43 (greater(age(sk1, sk4), sigma)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.12/0.43 tff(73,plain,
% 0.12/0.43 ((age(sk1, sk2) = zero) <=> (age(sk1, sk2) = zero)),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(74,axiom,(age(sk1, sk2) = zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_54')).
% 0.12/0.43 tff(75,plain,
% 0.12/0.43 (age(sk1, sk2) = zero),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.12/0.43 tff(76,plain,
% 0.12/0.43 (^[B: $i, A: $i, C: $i] : refl((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) = zero))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(77,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[76])).
% 0.12/0.43 tff(78,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(79,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(80,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[79])).
% 0.12/0.43 tff(81,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')).
% 0.12/0.43 tff(82,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.12/0.43 tff(83,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.12/0.43 tff(84,plain,(
% 0.12/0.43 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[83])).
% 0.12/0.43 tff(85,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[84, 77])).
% 0.12/0.43 tff(86,plain,
% 0.12/0.43 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | dissimilar(sk1, sk2, sk4))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | dissimilar(sk1, sk2, sk4))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(87,plain,
% 0.12/0.43 ((dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = zero))) <=> ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | dissimilar(sk1, sk2, sk4))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(88,plain,
% 0.12/0.43 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | dissimilar(sk1, sk2, sk4)))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[87])).
% 0.12/0.43 tff(89,plain,
% 0.12/0.43 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | dissimilar(sk1, sk2, sk4))),
% 0.12/0.43 inference(transitivity,[status(thm)],[88, 86])).
% 0.12/0.43 tff(90,plain,
% 0.12/0.43 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk1, sk2, sk4) | (~organization(sk1)) | (~greater(age(sk1, sk4), sigma)) | (~(age(sk1, sk2) = zero)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(91,plain,
% 0.12/0.43 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk1, sk4), sigma)) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | dissimilar(sk1, sk2, sk4)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.12/0.43 tff(92,plain,
% 0.12/0.43 (dissimilar(sk1, sk2, sk4)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[91, 85, 8, 75, 72])).
% 0.12/0.43 tff(93,plain,
% 0.12/0.43 (^[B: $i, A: $i] : refl(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(94,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[93])).
% 0.12/0.43 tff(95,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(96,plain,
% 0.12/0.43 (^[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))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(97,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[96])).
% 0.12/0.43 tff(98,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')).
% 0.12/0.43 tff(99,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.12/0.43 tff(100,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.12/0.43 tff(101,plain,(
% 0.12/0.43 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[100])).
% 0.12/0.43 tff(102,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.12/0.43 tff(103,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = zero)))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = zero)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(104,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = zero)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(105,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk1)) | is_aligned(sk1, sk2) | (~(age(sk1, sk2) = zero))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.12/0.43 tff(106,plain,
% 0.12/0.43 (is_aligned(sk1, sk2)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[105, 102, 8, 75])).
% 0.12/0.43 tff(107,plain,
% 0.12/0.43 (^[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))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(108,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[107])).
% 0.12/0.43 tff(109,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(110,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(111,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[110])).
% 0.12/0.43 tff(112,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')).
% 0.12/0.43 tff(113,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.12/0.43 tff(114,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.12/0.43 tff(115,plain,(
% 0.12/0.43 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[114])).
% 0.12/0.43 tff(116,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[115, 108])).
% 0.12/0.43 tff(117,plain,
% 0.12/0.43 (((~![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(118,plain,
% 0.12/0.43 (((~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)) | (~is_aligned(sk1, sk2))) <=> ((~is_aligned(sk1, sk2)) | (~dissimilar(sk1, sk2, sk4)) | (~is_aligned(sk1, sk4)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(119,plain,
% 0.12/0.43 (((~![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))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[118])).
% 0.12/0.43 tff(120,plain,
% 0.12/0.43 (((~![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)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[119, 117])).
% 0.12/0.43 tff(121,plain,
% 0.12/0.43 ((~![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)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(122,plain,
% 0.12/0.43 ((~![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))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.12/0.43 tff(123,plain,
% 0.12/0.43 (~is_aligned(sk1, sk4)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[122, 116, 106, 92])).
% 0.12/0.43 tff(124,assumption,(is_aligned(sk1, sk3)), introduced(assumption)).
% 0.12/0.43 tff(125,assumption,(~greater(capability(sk1, sk3), capability(sk1, sk4))), introduced(assumption)).
% 0.12/0.43 tff(126,plain,
% 0.12/0.43 (^[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))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(127,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[126])).
% 0.12/0.43 tff(128,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(129,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(130,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[129])).
% 0.12/0.43 tff(131,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')).
% 0.12/0.43 tff(132,plain,
% 0.12/0.43 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.12/0.43 tff(133,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[132, 128])).
% 0.12/0.44 tff(134,plain,(
% 0.12/0.44 ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[133])).
% 0.12/0.44 tff(135,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[134, 127])).
% 0.12/0.44 tff(136,plain,
% 0.12/0.44 (((~![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(137,plain,
% 0.12/0.44 ((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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(138,plain,
% 0.12/0.44 (((~![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))))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[137])).
% 0.12/0.44 tff(139,plain,
% 0.12/0.44 (((~![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)))),
% 0.12/0.44 inference(transitivity,[status(thm)],[138, 136])).
% 0.12/0.44 tff(140,plain,
% 0.12/0.44 ((~![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)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(141,plain,
% 0.12/0.44 ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk4)) | is_aligned(sk1, sk4) | (~is_aligned(sk1, sk3))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.12/0.44 tff(142,plain,
% 0.12/0.44 ($false),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[141, 135, 8, 125, 124, 123])).
% 0.12/0.44 tff(143,plain,(greater(capability(sk1, sk3), capability(sk1, sk4)) | (~is_aligned(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.44 tff(144,plain,
% 0.12/0.44 (~is_aligned(sk1, sk3)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[143, 69])).
% 0.12/0.44 tff(145,plain,
% 0.12/0.44 (^[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))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(146,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[145])).
% 0.12/0.44 tff(147,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(148,plain,
% 0.12/0.44 (^[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)))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(149,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[148])).
% 0.12/0.44 tff(150,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')).
% 0.12/0.44 tff(151,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.12/0.44 tff(152,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[151, 147])).
% 0.12/0.44 tff(153,plain,(
% 0.12/0.44 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[152])).
% 0.12/0.44 tff(154,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[153, 146])).
% 0.12/0.44 tff(155,plain,
% 0.12/0.44 (((~![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))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(156,plain,
% 0.12/0.44 ((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))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(157,plain,
% 0.12/0.44 (((~![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)))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[156])).
% 0.12/0.44 tff(158,plain,
% 0.12/0.44 (((~![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))),
% 0.12/0.44 inference(transitivity,[status(thm)],[157, 155])).
% 0.12/0.44 tff(159,plain,
% 0.12/0.44 ((~![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)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(160,plain,
% 0.12/0.44 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk1)) | is_aligned(sk1, sk3) | (~is_aligned(sk1, sk2)) | dissimilar(sk1, sk2, sk3)),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.12/0.44 tff(161,plain,
% 0.12/0.44 ($false),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[160, 154, 8, 106, 144, 1])).
% 0.12/0.44 tff(162,plain,(dissimilar(sk1, sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.44 tff(163,plain,
% 0.12/0.44 (^[B: $i, A: $i, C: $i] : refl(((~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) = zero))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(164,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[163])).
% 0.12/0.44 tff(165,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(166,plain,
% 0.12/0.44 (^[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)))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(167,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[166])).
% 0.12/0.44 tff(168,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')).
% 0.12/0.44 tff(169,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.12/0.44 tff(170,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[169, 165])).
% 0.12/0.44 tff(171,plain,(
% 0.12/0.44 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[170])).
% 0.12/0.44 tff(172,plain,
% 0.12/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[171, 164])).
% 0.12/0.44 tff(173,plain,
% 0.12/0.44 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk1)) | (~(age(sk1, sk2) = zero)) | 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) = zero)))) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(174,plain,
% 0.12/0.44 (((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = zero))) <=> ((~organization(sk1)) | (~(age(sk1, sk2) = zero)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(175,plain,
% 0.12/0.44 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk1)) | (~(age(sk1, sk2) = zero)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3))))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[174])).
% 0.12/0.44 tff(176,plain,
% 0.12/0.44 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3)))),
% 0.12/0.44 inference(transitivity,[status(thm)],[175, 173])).
% 0.12/0.44 tff(177,plain,
% 0.12/0.44 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk1, sk2, sk3)) | (~organization(sk1)) | greater(age(sk1, sk3), sigma) | (~(age(sk1, sk2) = zero)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(178,plain,
% 0.12/0.44 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk1)) | (~(age(sk1, sk2) = zero)) | greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.12/0.44 tff(179,plain,
% 0.12/0.44 (greater(age(sk1, sk3), sigma) | (~dissimilar(sk1, sk2, sk3))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[178, 172, 8, 75])).
% 0.12/0.44 tff(180,plain,
% 0.12/0.44 (greater(age(sk1, sk3), sigma)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[179, 162])).
% 0.12/0.44 tff(181,plain,
% 0.12/0.44 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(182,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[181])).
% 0.12/0.44 tff(183,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(184,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')).
% 0.12/0.44 tff(185,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.12/0.44 tff(186,plain,(
% 0.12/0.44 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[185])).
% 0.12/0.44 tff(187,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[186, 182])).
% 0.12/0.44 tff(188,plain,
% 0.12/0.44 (((~![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(189,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk1, sk3))) | (~greater(age(sk1, sk3), sigma)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(190,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk1, sk3))) | (~greater(age(sk1, sk3), sigma))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.12/0.44 tff(191,plain,
% 0.12/0.44 (~greater(sigma, age(sk1, sk3))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[190, 187, 180])).
% 0.12/0.44 tff(192,plain,
% 0.12/0.44 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(193,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[192])).
% 0.12/0.44 tff(194,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(195,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.12/0.44 tff(196,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.12/0.44 tff(197,plain,(
% 0.12/0.44 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.44 inference(skolemize,[status(sab)],[196])).
% 0.12/0.44 tff(198,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[197, 193])).
% 0.12/0.44 tff(199,plain,
% 0.12/0.44 (((~![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(200,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk1, sk3), sigma)) | greater(sigma, age(sk1, sk3)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(201,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk1, sk3), sigma)) | greater(sigma, age(sk1, sk3))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.12/0.44 tff(202,plain,
% 0.12/0.44 (~smaller(age(sk1, sk3), sigma)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[201, 198, 191])).
% 0.12/0.44 tff(203,plain,
% 0.12/0.44 (smaller_or_equal(age(sk1, sk3), sigma) <=> smaller_or_equal(age(sk1, sk3), sigma)),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(204,axiom,(smaller_or_equal(age(sk1, sk3), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5_55')).
% 0.12/0.44 tff(205,plain,
% 0.12/0.44 (smaller_or_equal(age(sk1, sk3), sigma)),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.12/0.44 tff(206,plain,
% 0.12/0.44 (^[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))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(207,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[206])).
% 0.12/0.44 tff(208,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(209,plain,
% 0.12/0.44 (^[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))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(210,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[209])).
% 0.12/0.44 tff(211,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')).
% 0.12/0.44 tff(212,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.12/0.44 tff(213,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[212, 208])).
% 0.12/0.44 tff(214,plain,(
% 0.12/0.44 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[213])).
% 0.12/0.44 tff(215,plain,
% 0.12/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[214, 207])).
% 0.12/0.44 tff(216,plain,
% 0.12/0.44 (((~![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(217,plain,
% 0.12/0.44 ((~![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)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(218,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma) | (~smaller_or_equal(age(sk1, sk3), sigma))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.12/0.44 tff(219,plain,
% 0.12/0.44 ((age(sk1, sk3) = sigma) | smaller(age(sk1, sk3), sigma)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[218, 215, 205])).
% 0.12/0.44 tff(220,plain,
% 0.12/0.44 (age(sk1, sk3) = sigma),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[219, 202])).
% 0.12/0.44 tff(221,plain,
% 0.12/0.44 (sigma = age(sk1, sk3)),
% 0.12/0.44 inference(symmetry,[status(thm)],[220])).
% 0.12/0.44 tff(222,plain,
% 0.12/0.44 (greater(sigma, age(sk1, sk3)) <=> greater(age(sk1, sk3), sigma)),
% 0.12/0.44 inference(monotonicity,[status(thm)],[221, 220])).
% 0.12/0.44 tff(223,plain,
% 0.12/0.44 (greater(age(sk1, sk3), sigma) <=> greater(sigma, age(sk1, sk3))),
% 0.12/0.44 inference(symmetry,[status(thm)],[222])).
% 0.12/0.44 tff(224,plain,
% 0.12/0.44 (greater(sigma, age(sk1, sk3))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[180, 223])).
% 0.12/0.44 tff(225,plain,
% 0.12/0.44 ($false),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[191, 224])).
% 0.12/0.44 % SZS output end Proof
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------