%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN133-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:38:19 AM UTC 2025
% Result : Unsatisfiable 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN133-1 : TPTP v9.0.0. Released v1.1.0.
% 0.11/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:28:05 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.51 % SZS status Unsatisfiable
% 0.18/0.51 % SZS output start Proof
% 0.18/0.51 tff(m0_type, type, (
% 0.18/0.51 m0: ( $i * $i * $i ) > $o)).
% 0.18/0.51 tff(d_type, type, (
% 0.18/0.51 d: $i)).
% 0.18/0.51 tff(1,assumption,(~m0(d, d, d)), introduced(assumption)).
% 0.18/0.51 tff(2,plain,
% 0.18/0.51 (^[Y: $i, X: $i] : refl(m0(X, d, Y) <=> m0(X, d, Y))),
% 0.18/0.51 inference(bind,[status(th)],[])).
% 0.18/0.51 tff(3,plain,
% 0.18/0.51 (![Y: $i, X: $i] : m0(X, d, Y) <=> ![Y: $i, X: $i] : m0(X, d, Y)),
% 0.18/0.51 inference(quant_intro,[status(thm)],[2])).
% 0.18/0.51 tff(4,plain,
% 0.18/0.51 (![Y: $i, X: $i] : m0(X, d, Y) <=> ![Y: $i, X: $i] : m0(X, d, Y)),
% 0.18/0.51 inference(rewrite,[status(thm)],[])).
% 0.18/0.51 tff(5,axiom,(![Y: $i, X: $i] : m0(X, d, Y)), file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax','axiom_19')).
% 0.18/0.51 tff(6,plain,
% 0.18/0.51 (![Y: $i, X: $i] : m0(X, d, Y)),
% 0.18/0.51 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.18/0.51 tff(7,plain,(
% 0.18/0.51 ![Y: $i, X: $i] : m0(X, d, Y)),
% 0.18/0.51 inference(skolemize,[status(sab)],[6])).
% 0.18/0.51 tff(8,plain,
% 0.18/0.51 (![Y: $i, X: $i] : m0(X, d, Y)),
% 0.18/0.51 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.18/0.51 tff(9,plain,
% 0.18/0.51 ((~![Y: $i, X: $i] : m0(X, d, Y)) | m0(d, d, d)),
% 0.18/0.51 inference(quant_inst,[status(thm)],[])).
% 0.18/0.51 tff(10,plain,
% 0.18/0.51 ($false),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.18/0.51 tff(11,plain,(m0(d, d, d)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.51 tff(12,plain,
% 0.18/0.51 (^[X: $i] : refl((~m0(d, X, d)) <=> (~m0(d, X, d)))),
% 0.18/0.51 inference(bind,[status(th)],[])).
% 0.18/0.51 tff(13,plain,
% 0.18/0.51 (![X: $i] : (~m0(d, X, d)) <=> ![X: $i] : (~m0(d, X, d))),
% 0.18/0.51 inference(quant_intro,[status(thm)],[12])).
% 0.18/0.51 tff(14,plain,
% 0.18/0.51 (![X: $i] : (~m0(d, X, d)) <=> ![X: $i] : (~m0(d, X, d))),
% 0.18/0.51 inference(rewrite,[status(thm)],[])).
% 0.18/0.51 tff(15,axiom,(![X: $i] : (~m0(d, X, d))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this')).
% 0.18/0.51 tff(16,plain,
% 0.18/0.51 (![X: $i] : (~m0(d, X, d))),
% 0.18/0.51 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.18/0.51 tff(17,plain,(
% 0.18/0.51 ![X: $i] : (~m0(d, X, d))),
% 0.18/0.51 inference(skolemize,[status(sab)],[16])).
% 0.18/0.51 tff(18,plain,
% 0.18/0.51 (![X: $i] : (~m0(d, X, d))),
% 0.18/0.51 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.18/0.51 tff(19,plain,
% 0.18/0.51 ((~![X: $i] : (~m0(d, X, d))) | (~m0(d, d, d))),
% 0.18/0.51 inference(quant_inst,[status(thm)],[])).
% 0.18/0.51 tff(20,plain,
% 0.18/0.51 ($false),
% 0.18/0.51 inference(unit_resolution,[status(thm)],[19, 18, 11])).
% 0.18/0.51 % SZS output end Proof
% 0.18/0.51 % E exiting
%------------------------------------------------------------------------------