%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN391+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:38:58 AM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN391+1 : TPTP v9.0.0. Released v2.0.0.
% 0.07/0.11 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.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 : Fri Jun 20 12:33:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % SZS output start Proof
% 0.12/0.36 tff(p1_type, type, (
% 0.12/0.36 p1: $o)).
% 0.12/0.36 tff(p2_type, type, (
% 0.12/0.36 p2: $o)).
% 0.12/0.36 tff(1,assumption,(~p1), introduced(assumption)).
% 0.12/0.36 tff(2,plain,
% 0.12/0.36 ((~((((p1 | p2) & ((~p1) | p2)) & (p1 | (~p2))) => (~((~p1) | (~p2))))) <=> (~((~((~p1) | (~p2))) | (~((p1 | p2) & (p2 | (~p1)) & (p1 | (~p2))))))),
% 0.12/0.36 inference(rewrite,[status(thm)],[])).
% 0.12/0.36 tff(3,axiom,(~((((p1 | p2) & ((~p1) | p2)) & (p1 | (~p2))) => (~((~p1) | (~p2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel9')).
% 0.12/0.36 tff(4,plain,
% 0.12/0.36 (~((~((~p1) | (~p2))) | (~((p1 | p2) & (p2 | (~p1)) & (p1 | (~p2)))))),
% 0.12/0.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.36 tff(5,plain,
% 0.12/0.36 ((p1 | p2) & (p2 | (~p1)) & (p1 | (~p2))),
% 0.12/0.36 inference(or_elim,[status(thm)],[4])).
% 0.12/0.36 tff(6,plain,
% 0.12/0.36 (p1 | p2),
% 0.12/0.36 inference(and_elim,[status(thm)],[5])).
% 0.12/0.36 tff(7,plain,
% 0.12/0.36 (p2),
% 0.12/0.36 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.12/0.36 tff(8,plain,
% 0.12/0.36 (p1 | (~p2)),
% 0.12/0.36 inference(and_elim,[status(thm)],[5])).
% 0.12/0.36 tff(9,plain,
% 0.12/0.36 ($false),
% 0.12/0.36 inference(unit_resolution,[status(thm)],[8, 7, 1])).
% 0.12/0.36 tff(10,plain,(p1), inference(lemma,lemma(discharge,[]))).
% 0.12/0.36 tff(11,plain,
% 0.12/0.36 ((~p1) | (~p2)),
% 0.12/0.36 inference(or_elim,[status(thm)],[4])).
% 0.12/0.36 tff(12,plain,
% 0.12/0.36 (~p2),
% 0.12/0.36 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.12/0.36 tff(13,plain,
% 0.12/0.36 (p2 | (~p1)),
% 0.12/0.36 inference(and_elim,[status(thm)],[5])).
% 0.12/0.36 tff(14,plain,
% 0.12/0.36 ($false),
% 0.12/0.36 inference(unit_resolution,[status(thm)],[13, 12, 10])).
% 0.12/0.36 % SZS output end Proof
% 0.12/0.36 % E exiting
%------------------------------------------------------------------------------