%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN071-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:38:09 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.35s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN071-1 : TPTP v9.0.0. Released v1.0.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.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 12:28:12 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.35 % SZS status Unsatisfiable
% 0.11/0.35 % SZS output start Proof
% 0.11/0.35 tff(c_type, type, (
% 0.11/0.35 c: $i)).
% 0.11/0.35 tff(a_type, type, (
% 0.11/0.35 a: $i)).
% 0.11/0.35 tff(b_type, type, (
% 0.11/0.35 b: $i)).
% 0.11/0.35 tff(d_type, type, (
% 0.11/0.35 d: $i)).
% 0.11/0.35 tff(1,assumption,(c = d), introduced(assumption)).
% 0.11/0.35 tff(2,plain,
% 0.11/0.35 ((a = c) <=> (a = d)),
% 0.11/0.35 inference(monotonicity,[status(thm)],[1])).
% 0.11/0.35 tff(3,plain,
% 0.11/0.35 ((a = d) <=> (a = c)),
% 0.11/0.35 inference(symmetry,[status(thm)],[2])).
% 0.11/0.35 tff(4,plain,
% 0.11/0.35 ((~(a = d)) <=> (~(a = c))),
% 0.11/0.35 inference(monotonicity,[status(thm)],[3])).
% 0.11/0.35 tff(5,plain,
% 0.11/0.35 ((~(a = d)) <=> (~(a = d))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(6,axiom,(~(a = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_3')).
% 0.11/0.35 tff(7,plain,
% 0.11/0.35 (~(a = d)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.11/0.35 tff(8,plain,
% 0.11/0.35 (~(a = c)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.11/0.35 tff(9,plain,
% 0.11/0.35 ((b = c) <=> (b = d)),
% 0.11/0.35 inference(monotonicity,[status(thm)],[1])).
% 0.11/0.35 tff(10,plain,
% 0.11/0.35 ((~(b = c)) <=> (~(b = d))),
% 0.11/0.35 inference(monotonicity,[status(thm)],[9])).
% 0.11/0.35 tff(11,plain,
% 0.11/0.35 ((~(b = c)) <=> (~(b = c))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(12,axiom,(~(b = c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_4')).
% 0.11/0.35 tff(13,plain,
% 0.11/0.35 (~(b = c)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.11/0.35 tff(14,plain,
% 0.11/0.35 (~(b = d)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.11/0.35 tff(15,plain,
% 0.11/0.35 (((a = c) | (b = d)) <=> ((a = c) | (b = d))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(16,axiom,((a = c) | (b = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_2')).
% 0.11/0.35 tff(17,plain,
% 0.11/0.35 ((a = c) | (b = d)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.11/0.35 tff(18,plain,
% 0.11/0.35 ($false),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[17, 14, 8])).
% 0.11/0.35 tff(19,plain,(~(c = d)), inference(lemma,lemma(discharge,[]))).
% 0.11/0.35 tff(20,plain,
% 0.11/0.35 (((a = b) | (c = d)) <=> ((a = b) | (c = d))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(21,axiom,((a = b) | (c = d)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause_1')).
% 0.11/0.35 tff(22,plain,
% 0.11/0.35 ((a = b) | (c = d)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.11/0.35 tff(23,plain,
% 0.11/0.35 (a = b),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[22, 19])).
% 0.11/0.35 tff(24,plain,
% 0.11/0.35 ((a = c) <=> (b = c)),
% 0.11/0.35 inference(monotonicity,[status(thm)],[23])).
% 0.11/0.35 tff(25,plain,
% 0.11/0.35 ((b = c) <=> (a = c)),
% 0.11/0.35 inference(symmetry,[status(thm)],[24])).
% 0.11/0.35 tff(26,plain,
% 0.11/0.35 ((~(b = c)) <=> (~(a = c))),
% 0.11/0.35 inference(monotonicity,[status(thm)],[25])).
% 0.11/0.35 tff(27,plain,
% 0.11/0.35 (~(a = c)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[13, 26])).
% 0.11/0.35 tff(28,plain,
% 0.11/0.35 ((a = d) <=> (b = d)),
% 0.11/0.35 inference(monotonicity,[status(thm)],[23])).
% 0.11/0.35 tff(29,plain,
% 0.11/0.35 ((~(a = d)) <=> (~(b = d))),
% 0.11/0.35 inference(monotonicity,[status(thm)],[28])).
% 0.11/0.35 tff(30,plain,
% 0.11/0.35 (~(b = d)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[7, 29])).
% 0.11/0.35 tff(31,plain,
% 0.11/0.35 ($false),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[17, 30, 27])).
% 0.11/0.35 % SZS output end Proof
% 0.11/0.35 % E exiting
%------------------------------------------------------------------------------