TSTP Solution File: SYN724-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN724-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 : Thu Sep 29 23:57:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN724-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 06:42:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Unsatisfiable
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(s_type, type, (
% 0.19/0.38 s: $i > $o)).
% 0.19/0.38 tff(sk1_type, type, (
% 0.19/0.38 sk1: $i)).
% 0.19/0.38 tff(r_type, type, (
% 0.19/0.38 r: $i > $o)).
% 0.19/0.38 tff(sk2_type, type, (
% 0.19/0.38 sk2: $i)).
% 0.19/0.38 tff(1,assumption,(~r(sk2)), introduced(assumption)).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 ((r(sk2) | (~s(sk1))) <=> (r(sk2) | (~s(sk1)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(3,axiom,(r(sk2) | (~s(sk1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm31_10')).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 (r(sk2) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.19/0.38 tff(5,plain,
% 0.19/0.38 (~s(sk1)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 ((r(sk1) | r(sk2)) <=> (r(sk1) | r(sk2))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(7,axiom,(r(sk1) | r(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm31_4')).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 (r(sk1) | r(sk2)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 (r(sk1)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[8, 1])).
% 0.19/0.38 tff(10,plain,
% 0.19/0.38 (^[A: $i] : refl((s(A) | (~r(A))) <=> (s(A) | (~r(A))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 (![A: $i] : (s(A) | (~r(A))) <=> ![A: $i] : (s(A) | (~r(A)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 (![A: $i] : (s(A) | (~r(A))) <=> ![A: $i] : (s(A) | (~r(A)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(13,axiom,(![A: $i] : (s(A) | (~r(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm31_3')).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 (![A: $i] : (s(A) | (~r(A)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.38 tff(15,plain,(
% 0.19/0.38 ![A: $i] : (s(A) | (~r(A)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[14])).
% 0.19/0.38 tff(16,plain,
% 0.19/0.38 (![A: $i] : (s(A) | (~r(A)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 (((~![A: $i] : (s(A) | (~r(A)))) | (s(sk1) | (~r(sk1)))) <=> ((~![A: $i] : (s(A) | (~r(A)))) | s(sk1) | (~r(sk1)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 ((~![A: $i] : (s(A) | (~r(A)))) | (s(sk1) | (~r(sk1)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 ((~![A: $i] : (s(A) | (~r(A)))) | s(sk1) | (~r(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[19, 16, 9, 5])).
% 0.19/0.38 tff(21,plain,(r(sk2)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(22,plain,
% 0.19/0.38 (((~![A: $i] : (s(A) | (~r(A)))) | (s(sk2) | (~r(sk2)))) <=> ((~![A: $i] : (s(A) | (~r(A)))) | s(sk2) | (~r(sk2)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(23,plain,
% 0.19/0.38 ((~![A: $i] : (s(A) | (~r(A)))) | (s(sk2) | (~r(sk2)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(24,plain,
% 0.19/0.38 ((~![A: $i] : (s(A) | (~r(A)))) | s(sk2) | (~r(sk2))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 (s(sk2)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[24, 16, 21])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 (((~r(sk2)) | (~s(sk2)) | (~s(sk1))) <=> ((~r(sk2)) | (~s(sk2)) | (~s(sk1)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(27,plain,
% 0.19/0.38 ((((~r(sk2)) | (~s(sk1))) | (~s(sk2))) <=> ((~r(sk2)) | (~s(sk2)) | (~s(sk1)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(28,axiom,(((~r(sk2)) | (~s(sk1))) | (~s(sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm31_15')).
% 0.19/0.38 tff(29,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[29, 26])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.19/0.38 tff(32,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[31, 26])).
% 0.19/0.38 tff(33,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[32, 26])).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.19/0.38 tff(35,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[34, 26])).
% 0.19/0.38 tff(36,plain,
% 0.19/0.38 ((~r(sk2)) | (~s(sk2)) | (~s(sk1))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[35, 26])).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (~s(sk1)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[36, 25, 21])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 ((r(sk1) | (~r(sk2)) | (~s(sk2))) <=> (r(sk1) | (~r(sk2)) | (~s(sk2)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 (((r(sk1) | (~r(sk2))) | (~s(sk2))) <=> (r(sk1) | (~r(sk2)) | (~s(sk2)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(40,axiom,((r(sk1) | (~r(sk2))) | (~s(sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm31_9')).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 (r(sk1) | (~r(sk2)) | (~s(sk2))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 (r(sk1) | (~r(sk2)) | (~s(sk2))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[41, 38])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 (r(sk1)),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[42, 25, 21])).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[19, 16, 43, 37])).
% 0.19/0.38 % SZS output end Proof
%------------------------------------------------------------------------------