TSTP Solution File: SYN044+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 23:53:17 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.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 01:27:04 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.
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(r_type, type, (
% 0.13/0.38 r: $o)).
% 0.13/0.38 tff(q_type, type, (
% 0.13/0.38 q: $o)).
% 0.13/0.38 tff(k!0_type, type, (
% 0.13/0.38 k!0: $o)).
% 0.13/0.38 tff(p_type, type, (
% 0.13/0.38 p: $o)).
% 0.13/0.38 tff(1,plain,
% 0.13/0.38 (($false | $false) <=> $false),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(2,plain,
% 0.13/0.38 (((~r) | $false) <=> (~r)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(3,plain,
% 0.13/0.38 ((~$true) <=> $false),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(4,plain,
% 0.13/0.38 ((q | (~q)) <=> $true),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (((~p) <=> q) <=> (k!0 <=> q)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(6,plain,
% 0.13/0.38 ((~(p <=> q)) <=> ((~p) <=> q)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(7,axiom,(~(p <=> q)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel10')).
% 0.13/0.38 tff(8,plain,
% 0.13/0.38 ((~p) <=> q),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.38 tff(9,plain,
% 0.13/0.38 (k!0 <=> q),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.13/0.38 tff(10,plain,
% 0.13/0.38 ((k!0 | (~q)) <=> (q | (~q))),
% 0.13/0.38 inference(monotonicity,[status(thm)],[9])).
% 0.13/0.38 tff(11,plain,
% 0.13/0.38 ((k!0 | (~q)) <=> $true),
% 0.13/0.38 inference(transitivity,[status(thm)],[10, 4])).
% 0.13/0.38 tff(12,plain,
% 0.13/0.38 ((~(k!0 | (~q))) <=> (~$true)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[11])).
% 0.13/0.38 tff(13,plain,
% 0.13/0.38 ((~(k!0 | (~q))) <=> $false),
% 0.13/0.38 inference(transitivity,[status(thm)],[12, 3])).
% 0.13/0.38 tff(14,plain,
% 0.13/0.38 (((~r) | (~(k!0 | (~q)))) <=> ((~r) | $false)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[13])).
% 0.13/0.38 tff(15,plain,
% 0.13/0.38 (((~r) | (~(k!0 | (~q)))) <=> (~r)),
% 0.13/0.38 inference(transitivity,[status(thm)],[14, 2])).
% 0.13/0.38 tff(16,plain,
% 0.13/0.38 (((~r) | (~((~p) | (~q)))) <=> ((~r) | (~(k!0 | (~q))))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(17,plain,
% 0.13/0.38 (((~r) | (p & q)) <=> ((~r) | (~((~p) | (~q))))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(18,plain,
% 0.13/0.38 ((r => (p & q)) <=> ((~r) | (p & q))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(19,axiom,(r => (p & q)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel10_2')).
% 0.13/0.38 tff(20,plain,
% 0.13/0.38 ((~r) | (p & q)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.13/0.38 tff(21,plain,
% 0.13/0.38 ((~r) | (~((~p) | (~q)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[20, 17])).
% 0.13/0.38 tff(22,plain,
% 0.13/0.38 ((~r) | (~(k!0 | (~q)))),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.13/0.38 tff(23,plain,
% 0.13/0.38 (~r),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.13/0.38 tff(24,plain,
% 0.13/0.38 (r <=> $false),
% 0.13/0.38 inference(iff_false,[status(thm)],[23])).
% 0.13/0.38 tff(25,plain,
% 0.13/0.38 (($false | (~q)) <=> (~q)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(26,plain,
% 0.13/0.38 ((r | (~q)) <=> ($false | (~q))),
% 0.13/0.38 inference(monotonicity,[status(thm)],[24])).
% 0.13/0.38 tff(27,plain,
% 0.13/0.38 ((r | (~q)) <=> (~q)),
% 0.13/0.38 inference(transitivity,[status(thm)],[26, 25])).
% 0.13/0.38 tff(28,plain,
% 0.13/0.38 ((q => r) <=> (r | (~q))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(29,axiom,(q => r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel10_1')).
% 0.13/0.38 tff(30,plain,
% 0.13/0.38 (r | (~q)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.13/0.38 tff(31,plain,
% 0.13/0.38 (~q),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[30, 27])).
% 0.13/0.38 tff(32,plain,
% 0.13/0.38 (q <=> $false),
% 0.13/0.38 inference(iff_false,[status(thm)],[31])).
% 0.13/0.38 tff(33,plain,
% 0.13/0.38 ((q | r) <=> ($false | $false)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[32, 24])).
% 0.13/0.38 tff(34,plain,
% 0.13/0.38 ((q | r) <=> $false),
% 0.13/0.38 inference(transitivity,[status(thm)],[33, 1])).
% 0.13/0.38 tff(35,plain,
% 0.13/0.38 ((q | r | q) <=> (q | r)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(36,plain,
% 0.13/0.38 ((q | r | k!0) <=> (q | r | q)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[9])).
% 0.13/0.38 tff(37,plain,
% 0.13/0.38 ((q | r | k!0) <=> (q | r)),
% 0.13/0.38 inference(transitivity,[status(thm)],[36, 35])).
% 0.13/0.38 tff(38,plain,
% 0.13/0.38 ((q | r | k!0) <=> (q | r | k!0)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(39,plain,
% 0.13/0.38 ((q | r | (~p)) <=> (q | r | k!0)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(40,plain,
% 0.13/0.38 ((p => (q | r)) <=> (q | r | (~p))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(41,axiom,(p => (q | r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel10_3')).
% 0.13/0.38 tff(42,plain,
% 0.13/0.38 (q | r | (~p)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.13/0.38 tff(43,plain,
% 0.13/0.38 (q | r | k!0),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[42, 39])).
% 0.13/0.38 tff(44,plain,
% 0.13/0.38 (q | r | k!0),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[43, 38])).
% 0.13/0.38 tff(45,plain,
% 0.13/0.38 (q | r | k!0),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[44, 38])).
% 0.13/0.38 tff(46,plain,
% 0.13/0.38 (q | r | k!0),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.13/0.38 tff(47,plain,
% 0.13/0.38 (q | r),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[46, 37])).
% 0.13/0.38 tff(48,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[47, 34])).
% 0.13/0.38 % SZS output end Proof
%------------------------------------------------------------------------------