TSTP Solution File: SYN030-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.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 23:53:12 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 01:07:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.13/0.36 % SZS status Unsatisfiable
% 0.13/0.36 % SZS output start Proof
% 0.13/0.36 tff(r_type, type, (
% 0.13/0.36 r: $o)).
% 0.13/0.36 tff(q_type, type, (
% 0.13/0.36 q: $o)).
% 0.13/0.36 tff(t_type, type, (
% 0.13/0.36 t: $o)).
% 0.13/0.36 tff(p_type, type, (
% 0.13/0.36 p: $o)).
% 0.13/0.36 tff(s_type, type, (
% 0.13/0.36 s: $o)).
% 0.13/0.36 tff(1,assumption,(~r), introduced(assumption)).
% 0.13/0.36 tff(2,plain,
% 0.13/0.36 (((~q) | r) <=> (r | (~q))),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(3,axiom,((~q) | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')).
% 0.13/0.36 tff(4,plain,
% 0.13/0.36 (r | (~q)),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.36 tff(5,plain,
% 0.13/0.36 (~q),
% 0.13/0.36 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.13/0.36 tff(6,axiom,(q | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause6')).
% 0.13/0.36 tff(7,plain,
% 0.13/0.36 ($false),
% 0.13/0.36 inference(unit_resolution,[status(thm)],[6, 5, 1])).
% 0.13/0.36 tff(8,plain,(r), inference(lemma,lemma(discharge,[]))).
% 0.13/0.36 tff(9,plain,
% 0.13/0.36 (((~r) | q) <=> ((~r) | q)),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(10,axiom,((~r) | q), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause7')).
% 0.13/0.36 tff(11,plain,
% 0.13/0.36 ((~r) | q),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.13/0.36 tff(12,plain,
% 0.13/0.36 ((~r) | q),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[11, 9])).
% 0.13/0.36 tff(13,plain,
% 0.13/0.36 ((~r) | q),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[12, 9])).
% 0.13/0.36 tff(14,plain,
% 0.13/0.36 ((~r) | q),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.13/0.36 tff(15,plain,
% 0.13/0.36 ((~r) | q),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[14, 9])).
% 0.13/0.36 tff(16,plain,
% 0.13/0.36 ((~r) | q),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[15, 9])).
% 0.13/0.36 tff(17,plain,
% 0.13/0.36 (q),
% 0.13/0.36 inference(unit_resolution,[status(thm)],[16, 8])).
% 0.13/0.36 tff(18,plain,
% 0.13/0.36 (((~r) | (~q) | (~p)) <=> ((~r) | (~q) | (~p))),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(19,plain,
% 0.13/0.36 ((((~p) | (~q)) | (~r)) <=> ((~r) | (~q) | (~p))),
% 0.13/0.36 inference(rewrite,[status(thm)],[])).
% 0.13/0.36 tff(20,axiom,(((~p) | (~q)) | (~r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem')).
% 0.13/0.36 tff(21,plain,
% 0.13/0.36 ((~r) | (~q) | (~p)),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.13/0.36 tff(22,plain,
% 0.13/0.36 ((~r) | (~q) | (~p)),
% 0.13/0.36 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.13/0.37 tff(23,plain,
% 0.13/0.37 ((~r) | (~q) | (~p)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.13/0.37 tff(24,plain,
% 0.13/0.37 ((~r) | (~q) | (~p)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[23, 18])).
% 0.13/0.37 tff(25,plain,
% 0.13/0.37 ((~r) | (~q) | (~p)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[24, 18])).
% 0.13/0.37 tff(26,plain,
% 0.13/0.37 ((~r) | (~q) | (~p)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.13/0.37 tff(27,plain,
% 0.13/0.37 (~p),
% 0.13/0.37 inference(unit_resolution,[status(thm)],[26, 8, 17])).
% 0.13/0.37 tff(28,plain,
% 0.13/0.37 (((~r) | s) <=> (s | (~r))),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(29,axiom,((~r) | s), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 0.13/0.37 tff(30,plain,
% 0.13/0.37 (s | (~r)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.13/0.37 tff(31,plain,
% 0.13/0.37 (s),
% 0.13/0.37 inference(unit_resolution,[status(thm)],[30, 8])).
% 0.13/0.37 tff(32,plain,
% 0.13/0.37 (((~t) | (~s) | p) <=> ((~t) | (~s) | p)),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(33,plain,
% 0.13/0.37 ((((~t) | (~s)) | p) <=> ((~t) | (~s) | p)),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(34,plain,
% 0.13/0.37 (((~t) | (~s)) <=> ((~t) | (~s))),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(35,plain,
% 0.13/0.37 ((((~t) | (~s)) | p) <=> (((~t) | (~s)) | p)),
% 0.13/0.37 inference(monotonicity,[status(thm)],[34])).
% 0.13/0.37 tff(36,plain,
% 0.13/0.37 ((((~t) | (~s)) | p) <=> ((~t) | (~s) | p)),
% 0.13/0.37 inference(transitivity,[status(thm)],[35, 33])).
% 0.13/0.37 tff(37,axiom,(((~t) | (~s)) | p), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 0.13/0.37 tff(38,plain,
% 0.13/0.37 ((~t) | (~s) | p),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.13/0.37 tff(39,plain,
% 0.13/0.37 ((~t) | (~s) | p),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[38, 32])).
% 0.13/0.37 tff(40,plain,
% 0.13/0.37 ((~t) | (~s) | p),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.13/0.37 tff(41,plain,
% 0.13/0.37 ((~t) | (~s) | p),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[40, 32])).
% 0.13/0.37 tff(42,plain,
% 0.13/0.37 ((~t) | (~s) | p),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[41, 32])).
% 0.13/0.37 tff(43,plain,
% 0.13/0.37 ((~t) | (~s) | p),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[42, 32])).
% 0.13/0.37 tff(44,plain,
% 0.13/0.37 (~t),
% 0.13/0.37 inference(unit_resolution,[status(thm)],[43, 31, 27])).
% 0.13/0.37 tff(45,plain,
% 0.13/0.37 ((t | (~r) | (~q)) <=> (t | (~r) | (~q))),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(46,plain,
% 0.13/0.37 ((((~r) | (~q)) | t) <=> (t | (~r) | (~q))),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(47,plain,
% 0.13/0.37 (((~r) | (~q)) <=> ((~r) | (~q))),
% 0.13/0.37 inference(rewrite,[status(thm)],[])).
% 0.13/0.37 tff(48,plain,
% 0.13/0.37 ((((~r) | (~q)) | t) <=> (((~r) | (~q)) | t)),
% 0.13/0.37 inference(monotonicity,[status(thm)],[47])).
% 0.13/0.37 tff(49,plain,
% 0.13/0.37 ((((~r) | (~q)) | t) <=> (t | (~r) | (~q))),
% 0.13/0.37 inference(transitivity,[status(thm)],[48, 46])).
% 0.13/0.37 tff(50,axiom,(((~r) | (~q)) | t), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')).
% 0.13/0.37 tff(51,plain,
% 0.13/0.37 (t | (~r) | (~q)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.13/0.37 tff(52,plain,
% 0.13/0.37 (t | (~r) | (~q)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[51, 45])).
% 0.13/0.37 tff(53,plain,
% 0.13/0.37 (t | (~r) | (~q)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.13/0.37 tff(54,plain,
% 0.13/0.37 (t | (~r) | (~q)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[53, 45])).
% 0.13/0.37 tff(55,plain,
% 0.13/0.37 (t | (~r) | (~q)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[54, 45])).
% 0.13/0.37 tff(56,plain,
% 0.13/0.37 (t | (~r) | (~q)),
% 0.13/0.37 inference(modus_ponens,[status(thm)],[55, 45])).
% 0.13/0.37 tff(57,plain,
% 0.13/0.37 ($false),
% 0.13/0.37 inference(unit_resolution,[status(thm)],[56, 44, 17, 8])).
% 0.13/0.37 % SZS output end Proof
%------------------------------------------------------------------------------