%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN071+1 : TPTP v9.0.0. Released v2.0.0.
% 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 05:38:09 AM UTC 2025
% Result : Theorem 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN071+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n016.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 12:28:17 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(c_type, type, (
% 0.11/0.36 c: $i)).
% 0.11/0.36 tff(a_type, type, (
% 0.11/0.36 a: $i)).
% 0.11/0.36 tff(b_type, type, (
% 0.11/0.36 b: $i)).
% 0.11/0.36 tff(d_type, type, (
% 0.11/0.36 d: $i)).
% 0.11/0.36 tff(1,assumption,(c = d), introduced(assumption)).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 ((a = c) <=> (a = d)),
% 0.11/0.36 inference(monotonicity,[status(thm)],[1])).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 ((a = d) <=> (a = c)),
% 0.11/0.36 inference(symmetry,[status(thm)],[2])).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 ((~(a = d)) <=> (~(a = c))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[3])).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 ((~(a = d)) <=> (~(a = d))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(6,axiom,(~((a = d) | (b = c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel48')).
% 0.11/0.36 tff(7,plain,
% 0.11/0.36 (~(a = d)),
% 0.11/0.36 inference(or_elim,[status(thm)],[6])).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 (~(a = d)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[7, 5])).
% 0.11/0.36 tff(9,plain,
% 0.11/0.36 (~(a = c)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 ((b = c) <=> (b = d)),
% 0.11/0.36 inference(monotonicity,[status(thm)],[1])).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 ((~(b = c)) <=> (~(b = d))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[10])).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 ((~(b = c)) <=> (~(b = c))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 (~(b = c)),
% 0.11/0.36 inference(or_elim,[status(thm)],[6])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 (~(b = c)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.11/0.36 tff(15,plain,
% 0.11/0.36 (~(b = d)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[14, 11])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 (((a = c) | (b = d)) <=> ((a = c) | (b = d))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(17,axiom,((a = c) | (b = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel48_2')).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 ((a = c) | (b = d)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[18, 15, 9])).
% 0.11/0.36 tff(20,plain,(~(c = d)), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 (((a = b) | (c = d)) <=> ((a = b) | (c = d))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(22,axiom,((a = b) | (c = d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel48_1')).
% 0.11/0.36 tff(23,plain,
% 0.11/0.36 ((a = b) | (c = d)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.11/0.36 tff(24,plain,
% 0.11/0.36 (a = b),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[23, 20])).
% 0.11/0.36 tff(25,plain,
% 0.11/0.36 ((a = c) <=> (b = c)),
% 0.11/0.36 inference(monotonicity,[status(thm)],[24])).
% 0.11/0.36 tff(26,plain,
% 0.11/0.36 ((b = c) <=> (a = c)),
% 0.11/0.36 inference(symmetry,[status(thm)],[25])).
% 0.11/0.36 tff(27,plain,
% 0.11/0.36 ((~(b = c)) <=> (~(a = c))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[26])).
% 0.11/0.36 tff(28,plain,
% 0.11/0.36 (~(a = c)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[14, 27])).
% 0.11/0.36 tff(29,plain,
% 0.11/0.36 ((a = d) <=> (b = d)),
% 0.11/0.36 inference(monotonicity,[status(thm)],[24])).
% 0.11/0.36 tff(30,plain,
% 0.11/0.36 ((~(a = d)) <=> (~(b = d))),
% 0.11/0.36 inference(monotonicity,[status(thm)],[29])).
% 0.11/0.36 tff(31,plain,
% 0.11/0.36 (~(b = d)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[8, 30])).
% 0.11/0.36 tff(32,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[18, 31, 28])).
% 0.11/0.36 % SZS output end Proof
% 0.11/0.36 % E exiting
%------------------------------------------------------------------------------