%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ134_2 : TPTP v9.0.0. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 : Sat Jun 21 05:23:29 AM UTC 2025
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ134_2 : TPTP v9.0.0. Released v5.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 02:47:39 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 tff(greater_type, type, (
% 0.20/0.40 greater: ( age * age ) > $o)).
% 0.20/0.40 tff(age_of_type, type, (
% 0.20/0.40 age_of: knowheyan > age)).
% 0.20/0.40 tff(e_type, type, (
% 0.20/0.40 e: knowheyan)).
% 0.20/0.40 tff(c_type, type, (
% 0.20/0.40 c: knowheyan)).
% 0.20/0.40 tff(tptp_fun_X_0_type, type, (
% 0.20/0.40 tptp_fun_X_0: knowheyan)).
% 0.20/0.40 tff(a_type, type, (
% 0.20/0.40 a: knowheyan)).
% 0.20/0.40 tff(b_type, type, (
% 0.20/0.40 b: knowheyan)).
% 0.20/0.40 tff(d_type, type, (
% 0.20/0.40 d: knowheyan)).
% 0.20/0.40 tff(1,assumption,(X!0 = a), introduced(assumption)).
% 0.20/0.40 tff(2,plain,
% 0.20/0.40 (age_of(X!0) = age_of(a)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[1])).
% 0.20/0.40 tff(3,plain,
% 0.20/0.40 (age_of(a) = age_of(X!0)),
% 0.20/0.40 inference(symmetry,[status(thm)],[2])).
% 0.20/0.40 tff(4,plain,
% 0.20/0.40 (^[X: age, Y: age] : refl((~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(5,plain,
% 0.20/0.40 (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.40 tff(6,plain,
% 0.20/0.40 (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(7,plain,
% 0.20/0.40 (^[X: age, Y: age] : trans(trans(monotonicity(rewrite((greater(X, Y) | greater(Y, X)) <=> (greater(Y, X) | greater(X, Y))), (((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> ((~(X = Y)) <=> (greater(Y, X) | greater(X, Y))))), rewrite(((~(X = Y)) <=> (greater(Y, X) | greater(X, Y))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))), (((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y)))))), rewrite((~((X = Y) <=> (greater(Y, X) | greater(X, Y)))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))), (((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(8,plain,
% 0.20/0.40 (![X: age, Y: age] : ((~(X = Y)) <=> (greater(X, Y) | greater(Y, X))) <=> ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[7])).
% 0.20/0.40 tff(9,axiom,(![X: age, Y: age] : ((~(X = Y)) <=> (greater(X, Y) | greater(Y, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','age_greater')).
% 0.20/0.40 tff(10,plain,
% 0.20/0.40 (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.20/0.40 tff(11,plain,
% 0.20/0.40 (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.20/0.40 tff(12,plain,(
% 0.20/0.40 ![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(skolemize,[status(sab)],[11])).
% 0.20/0.40 tff(13,plain,
% 0.20/0.40 (![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.20/0.40 tff(14,plain,
% 0.20/0.40 ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0)))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(15,plain,
% 0.20/0.40 (~((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 (?[X: knowheyan] : greater(age_of(c), age_of(X)) <=> ?[X: knowheyan] : greater(age_of(c), age_of(X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(17,axiom,(?[X: knowheyan] : greater(age_of(c), age_of(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c_not_youngest')).
% 0.20/0.40 tff(18,plain,
% 0.20/0.40 (?[X: knowheyan] : greater(age_of(c), age_of(X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.20/0.40 tff(19,plain,(
% 0.20/0.40 greater(age_of(c), age_of(X!0))),
% 0.20/0.40 inference(skolemize,[status(sab)],[18])).
% 0.20/0.40 tff(20,plain,
% 0.20/0.40 (greater(age_of(b), age_of(c)) <=> greater(age_of(b), age_of(c))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(21,axiom,(greater(age_of(b), age_of(c))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','age_info4')).
% 0.20/0.40 tff(22,plain,
% 0.20/0.40 (greater(age_of(b), age_of(c))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z))) <=> ![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(24,plain,
% 0.20/0.40 (^[X: age, Y: age, Z: age] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(X, Y)) | (~greater(Y, Z))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(X, Y)) | (~greater(Y, Z))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, Z))))) <=> ((~greater(X, Y)) | (~greater(Y, Z)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(X, Y)) | (~greater(Y, Z))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(X, Y)) | (~greater(Y, Z))) | greater(X, Z)))), rewrite((((~greater(X, Y)) | (~greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(25,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[24])).
% 0.20/0.40 tff(26,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(27,plain,
% 0.20/0.40 (^[X: age, Y: age, Z: age] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.40 tff(29,axiom,(![X: age, Y: age, Z: age] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','age_transitive')).
% 0.20/0.40 tff(30,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.20/0.40 tff(32,plain,(
% 0.20/0.40 ![X: age, Y: age, Z: age] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.20/0.40 inference(skolemize,[status(sab)],[31])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 (![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[33, 23])).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(age_of(b), age_of(c))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(b), age_of(c))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 ((greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0)))) <=> ((~greater(age_of(b), age_of(c))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(age_of(b), age_of(c))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(c), age_of(X!0)))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[36])).
% 0.20/0.41 tff(38,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(b), age_of(c))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))))),
% 0.20/0.41 inference(transitivity,[status(thm)],[37, 35])).
% 0.20/0.41 tff(39,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(b), age_of(X!0)) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(40,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(b), age_of(c))) | greater(age_of(b), age_of(X!0)) | (~greater(age_of(c), age_of(X!0)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.20/0.41 tff(41,plain,
% 0.20/0.41 (greater(age_of(b), age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[40, 34, 22, 19])).
% 0.20/0.41 tff(42,plain,
% 0.20/0.41 (greater(age_of(d), age_of(b)) <=> greater(age_of(d), age_of(b))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(43,axiom,(greater(age_of(d), age_of(b))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','age_info2')).
% 0.20/0.41 tff(44,plain,
% 0.20/0.41 (greater(age_of(d), age_of(b))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.41 tff(45,plain,
% 0.20/0.41 (greater(age_of(a), age_of(d)) <=> greater(age_of(a), age_of(d))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(46,axiom,(greater(age_of(a), age_of(d))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','age_info1')).
% 0.20/0.41 tff(47,plain,
% 0.20/0.41 (greater(age_of(a), age_of(d))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.41 tff(48,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | greater(age_of(a), age_of(b)))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | greater(age_of(a), age_of(b)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(49,plain,
% 0.20/0.41 ((greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b)))) <=> ((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | greater(age_of(a), age_of(b)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(50,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | greater(age_of(a), age_of(b))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[49])).
% 0.20/0.41 tff(51,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | greater(age_of(a), age_of(b)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[50, 48])).
% 0.20/0.41 tff(52,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(b)) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(53,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | greater(age_of(a), age_of(b))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.41 tff(54,plain,
% 0.20/0.41 (greater(age_of(a), age_of(b))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[53, 34, 47, 44])).
% 0.20/0.41 tff(55,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(56,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(57,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(a), age_of(X!0)) | (~greater(age_of(a), age_of(b))) | (~greater(age_of(b), age_of(X!0)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.20/0.41 tff(58,plain,
% 0.20/0.41 (greater(age_of(a), age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[57, 34, 54, 41])).
% 0.20/0.41 tff(59,plain,
% 0.20/0.41 ((greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))) | (~greater(age_of(a), age_of(X!0)))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(60,plain,
% 0.20/0.41 (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.20/0.41 tff(61,plain,
% 0.20/0.41 (((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0)))) | (~(age_of(a) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0))))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(62,plain,
% 0.20/0.41 (((age_of(a) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(a)) | greater(age_of(a), age_of(X!0)))) | (~(age_of(a) = age_of(X!0)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[61, 60])).
% 0.20/0.41 tff(63,plain,
% 0.20/0.41 (~(age_of(a) = age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[62, 15])).
% 0.20/0.41 tff(64,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[63, 3])).
% 0.20/0.41 tff(65,plain,(~(X!0 = a)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(66,assumption,(X!0 = b), introduced(assumption)).
% 0.20/0.41 tff(67,plain,
% 0.20/0.41 (age_of(X!0) = age_of(b)),
% 0.20/0.41 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.41 tff(68,plain,
% 0.20/0.41 (age_of(b) = age_of(X!0)),
% 0.20/0.41 inference(symmetry,[status(thm)],[67])).
% 0.20/0.41 tff(69,plain,
% 0.20/0.41 ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0)))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(70,plain,
% 0.20/0.41 (~((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[69, 13])).
% 0.20/0.41 tff(71,plain,
% 0.20/0.41 ((greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))) | (~greater(age_of(b), age_of(X!0)))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(72,plain,
% 0.20/0.41 (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[71, 41])).
% 0.20/0.41 tff(73,plain,
% 0.20/0.41 (((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0)))) | (~(age_of(b) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0))))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(74,plain,
% 0.20/0.41 (((age_of(b) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(b)) | greater(age_of(b), age_of(X!0)))) | (~(age_of(b) = age_of(X!0)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.20/0.41 tff(75,plain,
% 0.20/0.41 (~(age_of(b) = age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[74, 70])).
% 0.20/0.41 tff(76,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[75, 68])).
% 0.20/0.41 tff(77,plain,(~(X!0 = b)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(78,assumption,(X!0 = c), introduced(assumption)).
% 0.20/0.41 tff(79,plain,
% 0.20/0.41 (age_of(X!0) = age_of(c)),
% 0.20/0.41 inference(monotonicity,[status(thm)],[78])).
% 0.20/0.41 tff(80,plain,
% 0.20/0.41 (age_of(c) = age_of(X!0)),
% 0.20/0.41 inference(symmetry,[status(thm)],[79])).
% 0.20/0.41 tff(81,plain,
% 0.20/0.41 ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0)))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(82,plain,
% 0.20/0.41 (~((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[81, 13])).
% 0.20/0.41 tff(83,plain,
% 0.20/0.41 ((greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))) | (~greater(age_of(c), age_of(X!0)))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(84,plain,
% 0.20/0.41 (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[83, 19])).
% 0.20/0.41 tff(85,plain,
% 0.20/0.41 (((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0)))) | (~(age_of(c) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0))))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(86,plain,
% 0.20/0.41 (((age_of(c) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(c)) | greater(age_of(c), age_of(X!0)))) | (~(age_of(c) = age_of(X!0)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.20/0.41 tff(87,plain,
% 0.20/0.41 (~(age_of(c) = age_of(X!0))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[86, 82])).
% 0.20/0.41 tff(88,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[87, 80])).
% 0.20/0.41 tff(89,plain,(~(X!0 = c)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(90,assumption,(X!0 = d), introduced(assumption)).
% 0.20/0.41 tff(91,plain,
% 0.20/0.41 (age_of(X!0) = age_of(d)),
% 0.20/0.41 inference(monotonicity,[status(thm)],[90])).
% 0.20/0.41 tff(92,plain,
% 0.20/0.41 (age_of(d) = age_of(X!0)),
% 0.20/0.41 inference(symmetry,[status(thm)],[91])).
% 0.20/0.41 tff(93,plain,
% 0.20/0.41 ((~![X: age, Y: age] : (~((X = Y) <=> (greater(Y, X) | greater(X, Y))))) | (~((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0)))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(94,plain,
% 0.20/0.41 (~((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[93, 13])).
% 0.20/0.41 tff(95,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | greater(age_of(d), age_of(c)))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | greater(age_of(d), age_of(c)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(96,plain,
% 0.20/0.41 ((greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c)))) <=> ((~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | greater(age_of(d), age_of(c)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(97,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | greater(age_of(d), age_of(c))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[96])).
% 0.20/0.41 tff(98,plain,
% 0.20/0.41 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | greater(age_of(d), age_of(c)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[97, 95])).
% 0.20/0.41 tff(99,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(c)) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(100,plain,
% 0.20/0.41 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | greater(age_of(d), age_of(c))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.20/0.42 tff(101,plain,
% 0.20/0.42 (greater(age_of(d), age_of(c))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[100, 34, 44, 22])).
% 0.20/0.42 tff(102,plain,
% 0.20/0.42 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(103,plain,
% 0.20/0.42 ((greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0)))) <=> (greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(104,plain,
% 0.20/0.42 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c)))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[103])).
% 0.20/0.42 tff(105,plain,
% 0.20/0.42 (((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0))))) <=> ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c))))),
% 0.20/0.42 inference(transitivity,[status(thm)],[104, 102])).
% 0.20/0.42 tff(106,plain,
% 0.20/0.42 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(age_of(d), age_of(X!0)) | (~greater(age_of(d), age_of(c))) | (~greater(age_of(c), age_of(X!0))))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(107,plain,
% 0.20/0.42 ((~![X: age, Y: age, Z: age] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(age_of(d), age_of(X!0)) | (~greater(age_of(c), age_of(X!0))) | (~greater(age_of(d), age_of(c)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.20/0.42 tff(108,plain,
% 0.20/0.42 (greater(age_of(d), age_of(X!0))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[107, 34, 19, 101])).
% 0.20/0.42 tff(109,plain,
% 0.20/0.42 ((greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))) | (~greater(age_of(d), age_of(X!0)))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(110,plain,
% 0.20/0.42 (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[109, 108])).
% 0.20/0.42 tff(111,plain,
% 0.20/0.42 (((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0)))) | (~(age_of(d) = age_of(X!0))) | (~(greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0))))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(112,plain,
% 0.20/0.42 (((age_of(d) = age_of(X!0)) <=> (greater(age_of(X!0), age_of(d)) | greater(age_of(d), age_of(X!0)))) | (~(age_of(d) = age_of(X!0)))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.20/0.42 tff(113,plain,
% 0.20/0.42 (~(age_of(d) = age_of(X!0))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[112, 94])).
% 0.20/0.42 tff(114,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[113, 92])).
% 0.20/0.42 tff(115,plain,(~(X!0 = d)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(116,plain,
% 0.20/0.42 (![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a)) <=> ![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(117,plain,
% 0.20/0.42 (^[X: knowheyan] : trans(monotonicity(trans(monotonicity(rewrite((((X = a) | (X = b)) | (X = c)) <=> ((X = c) | (X = b) | (X = a))), (((((X = a) | (X = b)) | (X = c)) | (X = d)) <=> (((X = c) | (X = b) | (X = a)) | (X = d)))), rewrite((((X = c) | (X = b) | (X = a)) | (X = d)) <=> ((X = d) | (X = c) | (X = b) | (X = a))), (((((X = a) | (X = b)) | (X = c)) | (X = d)) <=> ((X = d) | (X = c) | (X = b) | (X = a)))), ((((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e)) <=> (((X = d) | (X = c) | (X = b) | (X = a)) | (X = e)))), rewrite((((X = d) | (X = c) | (X = b) | (X = a)) | (X = e)) <=> ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))), ((((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e)) <=> ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(118,plain,
% 0.20/0.42 (![X: knowheyan] : (((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e)) <=> ![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[117])).
% 0.20/0.42 tff(119,axiom,(![X: knowheyan] : (((((X = a) | (X = b)) | (X = c)) | (X = d)) | (X = e))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','only_knowheyans')).
% 0.20/0.42 tff(120,plain,
% 0.20/0.42 (![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.20/0.42 tff(121,plain,
% 0.20/0.42 (![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[120, 116])).
% 0.20/0.42 tff(122,plain,(
% 0.20/0.42 ![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))),
% 0.20/0.42 inference(skolemize,[status(sab)],[121])).
% 0.20/0.42 tff(123,plain,
% 0.20/0.42 (((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d))) <=> ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | (X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(124,plain,
% 0.20/0.42 (((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a)) <=> ((X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(125,plain,
% 0.20/0.42 (((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a))) <=> ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d)))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[124])).
% 0.20/0.42 tff(126,plain,
% 0.20/0.42 (((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a))) <=> ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | (X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d))),
% 0.20/0.42 inference(transitivity,[status(thm)],[125, 123])).
% 0.20/0.42 tff(127,plain,
% 0.20/0.42 ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | ((X!0 = e) | (X!0 = d) | (X!0 = c) | (X!0 = b) | (X!0 = a))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(128,plain,
% 0.20/0.42 ((~![X: knowheyan] : ((X = e) | (X = d) | (X = c) | (X = b) | (X = a))) | (X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.20/0.42 tff(129,plain,
% 0.20/0.42 ((X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e) | (X!0 = d)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[128, 122])).
% 0.20/0.42 tff(130,plain,
% 0.20/0.42 ((X!0 = c) | (X!0 = b) | (X!0 = a) | (X!0 = e)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[129, 115])).
% 0.20/0.42 tff(131,plain,
% 0.20/0.42 (X!0 = e),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[130, 89, 77, 65])).
% 0.20/0.42 tff(132,plain,
% 0.20/0.42 (e = X!0),
% 0.20/0.42 inference(symmetry,[status(thm)],[131])).
% 0.20/0.42 tff(133,plain,
% 0.20/0.42 (age_of(e) = age_of(X!0)),
% 0.20/0.42 inference(monotonicity,[status(thm)],[132])).
% 0.20/0.42 tff(134,plain,
% 0.20/0.42 (greater(age_of(c), age_of(e)) <=> greater(age_of(c), age_of(X!0))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[133])).
% 0.20/0.42 tff(135,plain,
% 0.20/0.42 (greater(age_of(c), age_of(X!0)) <=> greater(age_of(c), age_of(e))),
% 0.20/0.42 inference(symmetry,[status(thm)],[134])).
% 0.20/0.42 tff(136,plain,
% 0.20/0.42 (greater(age_of(c), age_of(e))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[19, 135])).
% 0.20/0.42 tff(137,plain,
% 0.20/0.42 ((~(~((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(e)))))) <=> ((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(e))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(138,plain,
% 0.20/0.43 ((greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e))) <=> (~((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(e)))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(139,plain,
% 0.20/0.43 ((~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e)))) <=> (~(~((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(e))))))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[138])).
% 0.20/0.43 tff(140,plain,
% 0.20/0.43 ((~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e)))) <=> ((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(e))))),
% 0.20/0.43 inference(transitivity,[status(thm)],[139, 137])).
% 0.20/0.43 tff(141,plain,
% 0.20/0.43 ((~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e)))) <=> (~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(142,plain,
% 0.20/0.43 ((~(((greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b))) & greater(age_of(b), age_of(c))) & greater(age_of(c), age_of(e)))) <=> (~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(143,axiom,(~(((greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b))) & greater(age_of(b), age_of(c))) & greater(age_of(c), age_of(e)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','age_order')).
% 0.20/0.43 tff(144,plain,
% 0.20/0.43 (~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.20/0.43 tff(145,plain,
% 0.20/0.43 (~(greater(age_of(a), age_of(d)) & greater(age_of(d), age_of(b)) & greater(age_of(b), age_of(c)) & greater(age_of(c), age_of(e)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[144, 141])).
% 0.20/0.43 tff(146,plain,
% 0.20/0.43 ((~greater(age_of(a), age_of(d))) | (~greater(age_of(d), age_of(b))) | (~greater(age_of(b), age_of(c))) | (~greater(age_of(c), age_of(e)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[145, 140])).
% 0.20/0.43 tff(147,plain,
% 0.20/0.43 (~greater(age_of(c), age_of(e))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[146, 47, 44, 22])).
% 0.20/0.43 tff(148,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[147, 136])).
% 0.20/0.43 % SZS output end Proof
% 0.20/0.43 % E exiting
%------------------------------------------------------------------------------