%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN130-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:38:18 AM UTC 2025
% Result : Unsatisfiable 0.39s 0.60s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN130-1 : TPTP v9.0.0. Released v1.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:29:02 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.39/0.60 % SZS status Unsatisfiable
% 0.39/0.60 % SZS output start Proof
% 0.39/0.60 tff(m0_type, type, (
% 0.39/0.60 m0: ( $i * $i * $i ) > $o)).
% 0.39/0.60 tff(b_type, type, (
% 0.39/0.60 b: $i)).
% 0.39/0.60 tff(d_type, type, (
% 0.39/0.60 d: $i)).
% 0.39/0.60 tff(1,assumption,(~m0(b, d, b)), introduced(assumption)).
% 0.39/0.60 tff(2,plain,
% 0.39/0.60 (^[Y: $i, X: $i] : refl(m0(X, d, Y) <=> m0(X, d, Y))),
% 0.39/0.60 inference(bind,[status(th)],[])).
% 0.39/0.60 tff(3,plain,
% 0.39/0.60 (![Y: $i, X: $i] : m0(X, d, Y) <=> ![Y: $i, X: $i] : m0(X, d, Y)),
% 0.39/0.60 inference(quant_intro,[status(thm)],[2])).
% 0.39/0.60 tff(4,plain,
% 0.39/0.60 (![Y: $i, X: $i] : m0(X, d, Y) <=> ![Y: $i, X: $i] : m0(X, d, Y)),
% 0.39/0.60 inference(rewrite,[status(thm)],[])).
% 0.39/0.60 tff(5,axiom,(![Y: $i, X: $i] : m0(X, d, Y)), file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax','axiom_19')).
% 0.39/0.60 tff(6,plain,
% 0.39/0.60 (![Y: $i, X: $i] : m0(X, d, Y)),
% 0.39/0.60 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.39/0.60 tff(7,plain,(
% 0.39/0.60 ![Y: $i, X: $i] : m0(X, d, Y)),
% 0.39/0.60 inference(skolemize,[status(sab)],[6])).
% 0.39/0.60 tff(8,plain,
% 0.39/0.60 (![Y: $i, X: $i] : m0(X, d, Y)),
% 0.39/0.60 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.39/0.60 tff(9,plain,
% 0.39/0.60 ((~![Y: $i, X: $i] : m0(X, d, Y)) | m0(b, d, b)),
% 0.39/0.60 inference(quant_inst,[status(thm)],[])).
% 0.39/0.60 tff(10,plain,
% 0.39/0.60 ($false),
% 0.39/0.60 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.39/0.60 tff(11,plain,(m0(b, d, b)), inference(lemma,lemma(discharge,[]))).
% 0.39/0.60 tff(12,plain,
% 0.39/0.60 (^[Y: $i, X: $i] : refl((~m0(X, Y, b)) <=> (~m0(X, Y, b)))),
% 0.39/0.60 inference(bind,[status(th)],[])).
% 0.39/0.60 tff(13,plain,
% 0.39/0.60 (![Y: $i, X: $i] : (~m0(X, Y, b)) <=> ![Y: $i, X: $i] : (~m0(X, Y, b))),
% 0.39/0.60 inference(quant_intro,[status(thm)],[12])).
% 0.39/0.60 tff(14,plain,
% 0.39/0.60 (![Y: $i, X: $i] : (~m0(X, Y, b)) <=> ![Y: $i, X: $i] : (~m0(X, Y, b))),
% 0.39/0.60 inference(rewrite,[status(thm)],[])).
% 0.39/0.60 tff(15,axiom,(![Y: $i, X: $i] : (~m0(X, Y, b))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this')).
% 0.39/0.60 tff(16,plain,
% 0.39/0.60 (![Y: $i, X: $i] : (~m0(X, Y, b))),
% 0.39/0.60 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.39/0.60 tff(17,plain,(
% 0.39/0.60 ![Y: $i, X: $i] : (~m0(X, Y, b))),
% 0.39/0.60 inference(skolemize,[status(sab)],[16])).
% 0.39/0.60 tff(18,plain,
% 0.39/0.60 (![Y: $i, X: $i] : (~m0(X, Y, b))),
% 0.39/0.60 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.39/0.60 tff(19,plain,
% 0.39/0.60 ((~![Y: $i, X: $i] : (~m0(X, Y, b))) | (~m0(b, d, b))),
% 0.39/0.60 inference(quant_inst,[status(thm)],[])).
% 0.39/0.60 tff(20,plain,
% 0.39/0.60 ($false),
% 0.39/0.60 inference(unit_resolution,[status(thm)],[19, 18, 11])).
% 0.39/0.60 % SZS output end Proof
% 0.39/0.60 % E exiting
%------------------------------------------------------------------------------