%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN044-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% 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 : Sat Jun 21 05:38:01 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.35s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN044-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:26:22 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.35 % SZS status Unsatisfiable
% 0.11/0.35 % SZS output start Proof
% 0.11/0.35 tff(r_type, type, (
% 0.11/0.35 r: $o)).
% 0.11/0.35 tff(q_type, type, (
% 0.11/0.35 q: $o)).
% 0.11/0.35 tff(p_type, type, (
% 0.11/0.35 p: $o)).
% 0.11/0.35 tff(1,assumption,(~q), introduced(assumption)).
% 0.11/0.35 tff(2,plain,
% 0.11/0.35 (((~r) | q) <=> (q | (~r))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(3,axiom,((~r) | q), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_3')).
% 0.11/0.35 tff(4,plain,
% 0.11/0.35 (q | (~r)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.11/0.35 tff(5,plain,
% 0.11/0.35 (~r),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.11/0.35 tff(6,axiom,(p | q), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_6')).
% 0.11/0.35 tff(7,plain,
% 0.11/0.35 (p),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.11/0.35 tff(8,plain,
% 0.11/0.35 (((q | (~p)) | r) <=> (q | r | (~p))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(9,plain,
% 0.11/0.35 (((~p) | q) <=> (q | (~p))),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(10,plain,
% 0.11/0.35 ((((~p) | q) | r) <=> ((q | (~p)) | r)),
% 0.11/0.35 inference(monotonicity,[status(thm)],[9])).
% 0.11/0.35 tff(11,plain,
% 0.11/0.35 ((((~p) | q) | r) <=> (q | r | (~p))),
% 0.11/0.35 inference(transitivity,[status(thm)],[10, 8])).
% 0.11/0.35 tff(12,axiom,(((~p) | q) | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_4')).
% 0.11/0.35 tff(13,plain,
% 0.11/0.35 (q | r | (~p)),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.11/0.35 tff(14,plain,
% 0.11/0.35 ($false),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[13, 7, 5, 1])).
% 0.11/0.35 tff(15,plain,(q), inference(lemma,lemma(discharge,[]))).
% 0.11/0.35 tff(16,plain,
% 0.11/0.35 (((~q) | r) <=> ((~q) | r)),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(17,axiom,((~q) | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_1')).
% 0.11/0.35 tff(18,plain,
% 0.11/0.35 ((~q) | r),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.11/0.35 tff(19,plain,
% 0.11/0.35 ((~q) | r),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[18, 16])).
% 0.11/0.35 tff(20,plain,
% 0.11/0.35 ((~q) | r),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.11/0.35 tff(21,plain,
% 0.11/0.35 ((~q) | r),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.11/0.35 tff(22,plain,
% 0.11/0.35 (r),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[21, 15])).
% 0.11/0.35 tff(23,axiom,((~p) | (~q)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_5')).
% 0.11/0.35 tff(24,plain,
% 0.11/0.35 (~p),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[23, 15])).
% 0.11/0.35 tff(25,plain,
% 0.11/0.35 (((~r) | p) <=> ((~r) | p)),
% 0.11/0.35 inference(rewrite,[status(thm)],[])).
% 0.11/0.35 tff(26,axiom,((~r) | p), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_2')).
% 0.11/0.35 tff(27,plain,
% 0.11/0.35 ((~r) | p),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.11/0.35 tff(28,plain,
% 0.11/0.35 ((~r) | p),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[27, 25])).
% 0.11/0.35 tff(29,plain,
% 0.11/0.35 ((~r) | p),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[28, 25])).
% 0.11/0.35 tff(30,plain,
% 0.11/0.35 ((~r) | p),
% 0.11/0.35 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.11/0.35 tff(31,plain,
% 0.11/0.35 ($false),
% 0.11/0.35 inference(unit_resolution,[status(thm)],[30, 24, 22])).
% 0.11/0.35 % SZS output end Proof
% 0.11/0.35 % E exiting
%------------------------------------------------------------------------------