%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN724-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:39:55 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.36s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN724-1 : TPTP v9.0.0. Released v2.5.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:41:11 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.36 % SZS status Unsatisfiable
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(s_type, type, (
% 0.11/0.36 s: $i > $o)).
% 0.11/0.36 tff(sk1_type, type, (
% 0.11/0.36 sk1: $i)).
% 0.11/0.36 tff(r_type, type, (
% 0.11/0.36 r: $i > $o)).
% 0.11/0.36 tff(sk2_type, type, (
% 0.11/0.36 sk2: $i)).
% 0.11/0.36 tff(1,assumption,(~r(sk2)), introduced(assumption)).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 ((r(sk2) | (~s(sk1))) <=> (r(sk2) | (~s(sk1)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(3,axiom,(r(sk2) | (~s(sk1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm31_10')).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 (r(sk2) | (~s(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 (~s(sk1)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 ((r(sk1) | r(sk2)) <=> (r(sk1) | r(sk2))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(7,axiom,(r(sk1) | r(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm31_4')).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 (r(sk1) | r(sk2)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.11/0.36 tff(9,plain,
% 0.11/0.36 (r(sk1)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[8, 1])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 (^[A: $i] : refl((s(A) | (~r(A))) <=> (s(A) | (~r(A))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 (![A: $i] : (s(A) | (~r(A))) <=> ![A: $i] : (s(A) | (~r(A)))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[10])).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 (![A: $i] : (s(A) | (~r(A))) <=> ![A: $i] : (s(A) | (~r(A)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(13,axiom,(![A: $i] : (s(A) | (~r(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm31_3')).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 (![A: $i] : (s(A) | (~r(A)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.11/0.36 tff(15,plain,(
% 0.11/0.36 ![A: $i] : (s(A) | (~r(A)))),
% 0.11/0.36 inference(skolemize,[status(sab)],[14])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 (![A: $i] : (s(A) | (~r(A)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.11/0.36 tff(17,plain,
% 0.11/0.36 (((~![A: $i] : (s(A) | (~r(A)))) | (s(sk1) | (~r(sk1)))) <=> ((~![A: $i] : (s(A) | (~r(A)))) | s(sk1) | (~r(sk1)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 ((~![A: $i] : (s(A) | (~r(A)))) | (s(sk1) | (~r(sk1)))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 ((~![A: $i] : (s(A) | (~r(A)))) | s(sk1) | (~r(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[19, 16, 9, 5])).
% 0.11/0.36 tff(21,plain,(r(sk2)), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(22,plain,
% 0.11/0.36 (((~![A: $i] : (s(A) | (~r(A)))) | (s(sk2) | (~r(sk2)))) <=> ((~![A: $i] : (s(A) | (~r(A)))) | s(sk2) | (~r(sk2)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(23,plain,
% 0.11/0.36 ((~![A: $i] : (s(A) | (~r(A)))) | (s(sk2) | (~r(sk2)))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(24,plain,
% 0.11/0.36 ((~![A: $i] : (s(A) | (~r(A)))) | s(sk2) | (~r(sk2))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.11/0.36 tff(25,plain,
% 0.11/0.36 (s(sk2)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[24, 16, 21])).
% 0.11/0.36 tff(26,plain,
% 0.11/0.36 (((~r(sk2)) | (~s(sk2)) | (~s(sk1))) <=> ((~r(sk2)) | (~s(sk2)) | (~s(sk1)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(27,plain,
% 0.11/0.36 ((((~r(sk2)) | (~s(sk1))) | (~s(sk2))) <=> ((~r(sk2)) | (~s(sk2)) | (~s(sk1)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(28,axiom,(((~r(sk2)) | (~s(sk1))) | (~s(sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm31_15')).
% 0.11/0.36 tff(29,plain,
% 0.11/0.36 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.11/0.36 tff(30,plain,
% 0.11/0.36 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[29, 26])).
% 0.11/0.36 tff(31,plain,
% 0.11/0.36 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.11/0.36 tff(32,plain,
% 0.11/0.36 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[31, 26])).
% 0.11/0.36 tff(33,plain,
% 0.11/0.36 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[32, 26])).
% 0.11/0.36 tff(34,plain,
% 0.11/0.36 (~s(sk1)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[33, 25, 21])).
% 0.11/0.36 tff(35,plain,
% 0.11/0.36 ((r(sk1) | (~r(sk2)) | (~s(sk2))) <=> (r(sk1) | (~r(sk2)) | (~s(sk2)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(36,plain,
% 0.11/0.36 (((r(sk1) | (~r(sk2))) | (~s(sk2))) <=> (r(sk1) | (~r(sk2)) | (~s(sk2)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(37,axiom,((r(sk1) | (~r(sk2))) | (~s(sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm31_9')).
% 0.11/0.36 tff(38,plain,
% 0.11/0.36 (r(sk1) | (~r(sk2)) | (~s(sk2))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.11/0.36 tff(39,plain,
% 0.11/0.36 (r(sk1) | (~r(sk2)) | (~s(sk2))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[38, 35])).
% 0.11/0.36 tff(40,plain,
% 0.11/0.36 (r(sk1)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[39, 25, 21])).
% 0.11/0.36 tff(41,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[19, 16, 40, 34])).
% 0.11/0.36 % SZS output end Proof
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------