%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN044+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:38:01 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
% 0.11/0.12 % Problem : SYN044+1 : TPTP v9.0.0. Released v2.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n011.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 12:26:57 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(p_type, type, (
% 0.11/0.36 p: $o)).
% 0.11/0.36 tff(q_type, type, (
% 0.11/0.36 q: $o)).
% 0.11/0.36 tff(r_type, type, (
% 0.11/0.36 r: $o)).
% 0.11/0.36 tff(1,assumption,(~r), introduced(assumption)).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 ((q => r) <=> (r | (~q))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(3,axiom,(q => r), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel10_1')).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 (r | (~q)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 (~q),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 ((p => (q | r)) <=> (q | r | (~p))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(7,axiom,(p => (q | r)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel10_3')).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 (q | r | (~p)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.11/0.36 tff(9,plain,
% 0.11/0.36 (~p),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[8, 5, 1])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 ((~(p <=> q)) <=> (~(p <=> q))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(11,axiom,(~(p <=> q)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel10')).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 (~(p <=> q)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 (~(p <=> q)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[12, 10])).
% 0.11/0.36 tff(14,plain,
% 0.11/0.36 (~(p <=> q)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.11/0.36 tff(15,plain,
% 0.11/0.36 (~(p <=> q)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 ((p <=> q) | p | q),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(17,plain,
% 0.11/0.36 (p | q),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[16, 15])).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[17, 9, 5])).
% 0.11/0.36 tff(19,plain,(r), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 (((~r) | (p & q)) <=> ((~r) | (~((~p) | (~q))))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 ((r => (p & q)) <=> ((~r) | (p & q))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(22,axiom,(r => (p & q)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pel10_2')).
% 0.11/0.36 tff(23,plain,
% 0.11/0.36 ((~r) | (p & q)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.11/0.36 tff(24,plain,
% 0.11/0.36 ((~r) | (~((~p) | (~q)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[23, 20])).
% 0.11/0.36 tff(25,plain,
% 0.11/0.36 (~((~p) | (~q))),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[24, 19])).
% 0.11/0.36 tff(26,plain,
% 0.11/0.36 (((~p) | (~q)) | p),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(27,plain,
% 0.11/0.36 (p),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.11/0.36 tff(28,plain,
% 0.11/0.36 (((~p) | (~q)) | q),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(29,plain,
% 0.11/0.36 (q),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[28, 25])).
% 0.11/0.36 tff(30,plain,
% 0.11/0.36 ((p <=> q) | (~p) | (~q)),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(31,plain,
% 0.11/0.36 ((~p) | (~q)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[30, 15])).
% 0.11/0.36 tff(32,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[31, 29, 27])).
% 0.11/0.36 % SZS output end Proof
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------