%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN341-1 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:38:49 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN341-1 : TPTP v9.0.0. Released v1.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 20 12:30:25 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(f_type, type, (
% 0.13/0.38 f: ( $i * $i * $i ) > $o)).
% 0.13/0.38 tff(y4_type, type, (
% 0.13/0.38 y4: ( $i * $i ) > $i)).
% 0.13/0.38 tff(y2_type, type, (
% 0.13/0.38 y2: $i > $i)).
% 0.13/0.38 tff(elem_0_type, type, (
% 0.13/0.38 elem_0: $i)).
% 0.13/0.38 tff(1,plain,
% 0.13/0.38 (^[Y1: $i, Y3: $i] : refl((~f(y2(Y1), Y3, y4(Y1, Y3))) <=> (~f(y2(Y1), Y3, y4(Y1, Y3))))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(2,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3))) <=> ![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.13/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.13/0.38 tff(3,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3))) <=> ![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(4,axiom,(![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.38 tff(6,plain,(
% 0.13/0.38 ![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.13/0.38 inference(skolemize,[status(sab)],[5])).
% 0.13/0.38 tff(7,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.38 tff(8,plain,
% 0.13/0.38 ((~![Y1: $i, Y3: $i] : (~f(y2(Y1), Y3, y4(Y1, Y3)))) | (~f(y2(elem!0), y2(y2(elem!0)), y4(elem!0, y2(y2(elem!0)))))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(9,plain,
% 0.13/0.38 (~f(y2(elem!0), y2(y2(elem!0)), y4(elem!0, y2(y2(elem!0))))),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.13/0.38 tff(10,plain,
% 0.13/0.38 (^[Y1: $i, Y3: $i] : refl(f(Y1, y2(Y1), Y3) <=> f(Y1, y2(Y1), Y3))),
% 0.13/0.38 inference(bind,[status(th)],[])).
% 0.13/0.38 tff(11,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3) <=> ![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.13/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.13/0.38 tff(12,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3) <=> ![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(13,axiom,(![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 0.13/0.38 tff(14,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.13/0.38 tff(15,plain,(
% 0.13/0.38 ![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.13/0.38 inference(skolemize,[status(sab)],[14])).
% 0.13/0.38 tff(16,plain,
% 0.13/0.38 (![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.13/0.38 tff(17,plain,
% 0.13/0.38 ((~![Y1: $i, Y3: $i] : f(Y1, y2(Y1), Y3)) | f(y2(elem!0), y2(y2(elem!0)), y4(elem!0, y2(y2(elem!0))))),
% 0.13/0.38 inference(quant_inst,[status(thm)],[])).
% 0.13/0.38 tff(18,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[17, 16, 9])).
% 0.13/0.38 % SZS output end Proof
% 0.13/0.38 % E exiting
%------------------------------------------------------------------------------