%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN030-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:37:58 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN030-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:26:47 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(r_type, type, (
% 0.12/0.37 r: $o)).
% 0.12/0.37 tff(q_type, type, (
% 0.12/0.37 q: $o)).
% 0.12/0.37 tff(t_type, type, (
% 0.12/0.37 t: $o)).
% 0.12/0.37 tff(p_type, type, (
% 0.12/0.37 p: $o)).
% 0.12/0.37 tff(s_type, type, (
% 0.12/0.37 s: $o)).
% 0.12/0.37 tff(1,assumption,(~r), introduced(assumption)).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (((~q) | r) <=> (r | (~q))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(3,axiom,((~q) | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (r | (~q)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (~q),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.12/0.37 tff(6,axiom,(q | r), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause6')).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[6, 5, 1])).
% 0.12/0.37 tff(8,plain,(r), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(9,plain,
% 0.12/0.37 (((~r) | q) <=> ((~r) | q)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(10,axiom,((~r) | q), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause7')).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 ((~r) | q),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 ((~r) | q),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[11, 9])).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ((~r) | q),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[12, 9])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 ((~r) | q),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 (q),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[14, 8])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (((~r) | (~q) | (~p)) <=> ((~r) | (~q) | (~p))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((((~p) | (~q)) | (~r)) <=> ((~r) | (~q) | (~p))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(18,axiom,(((~p) | (~q)) | (~r)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem')).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 ((~r) | (~q) | (~p)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 ((~r) | (~q) | (~p)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 ((~r) | (~q) | (~p)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 ((~r) | (~q) | (~p)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (~p),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[22, 8, 15])).
% 0.12/0.37 tff(24,plain,
% 0.12/0.37 (((~r) | s) <=> (s | (~r))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(25,axiom,((~r) | s), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 (s | (~r)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.12/0.37 tff(27,plain,
% 0.12/0.37 (s),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[26, 8])).
% 0.12/0.37 tff(28,plain,
% 0.12/0.37 (((~t) | (~s) | p) <=> ((~t) | (~s) | p)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(29,plain,
% 0.12/0.37 ((((~t) | (~s)) | p) <=> ((~t) | (~s) | p)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 (((~t) | (~s)) <=> ((~t) | (~s))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(31,plain,
% 0.12/0.37 ((((~t) | (~s)) | p) <=> (((~t) | (~s)) | p)),
% 0.12/0.37 inference(monotonicity,[status(thm)],[30])).
% 0.12/0.37 tff(32,plain,
% 0.12/0.37 ((((~t) | (~s)) | p) <=> ((~t) | (~s) | p)),
% 0.12/0.37 inference(transitivity,[status(thm)],[31, 29])).
% 0.12/0.37 tff(33,axiom,(((~t) | (~s)) | p), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 ((~t) | (~s) | p),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.12/0.37 tff(35,plain,
% 0.12/0.37 ((~t) | (~s) | p),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[34, 28])).
% 0.12/0.37 tff(36,plain,
% 0.12/0.37 ((~t) | (~s) | p),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.12/0.37 tff(37,plain,
% 0.12/0.37 ((~t) | (~s) | p),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[36, 28])).
% 0.12/0.37 tff(38,plain,
% 0.12/0.37 (~t),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[37, 27, 23])).
% 0.12/0.37 tff(39,plain,
% 0.12/0.37 ((t | (~r) | (~q)) <=> (t | (~r) | (~q))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(40,plain,
% 0.12/0.37 ((((~r) | (~q)) | t) <=> (t | (~r) | (~q))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(41,plain,
% 0.12/0.37 (((~r) | (~q)) <=> ((~r) | (~q))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(42,plain,
% 0.12/0.37 ((((~r) | (~q)) | t) <=> (((~r) | (~q)) | t)),
% 0.12/0.37 inference(monotonicity,[status(thm)],[41])).
% 0.12/0.37 tff(43,plain,
% 0.12/0.37 ((((~r) | (~q)) | t) <=> (t | (~r) | (~q))),
% 0.12/0.37 inference(transitivity,[status(thm)],[42, 40])).
% 0.12/0.37 tff(44,axiom,(((~r) | (~q)) | t), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')).
% 0.12/0.37 tff(45,plain,
% 0.12/0.37 (t | (~r) | (~q)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.12/0.37 tff(46,plain,
% 0.12/0.37 (t | (~r) | (~q)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[45, 39])).
% 0.12/0.37 tff(47,plain,
% 0.12/0.37 (t | (~r) | (~q)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.12/0.37 tff(48,plain,
% 0.12/0.37 (t | (~r) | (~q)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[47, 39])).
% 0.12/0.37 tff(49,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[48, 38, 15, 8])).
% 0.12/0.37 % SZS output end Proof
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------