%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP128-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:38:15 PM UTC 2026
% Result : Satisfiable 1.14s 0.71s
% Output : Saturation 1.14s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_31ERROR: Could not build tree for root c_0_37ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_33,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_31,
[final] ).
cnf(c_0_34,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_35,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_32,
[final] ).
cnf(c_0_36,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_37,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]),
[final] ).
cnf(c_0_38,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[final] ).
cnf(c_0_39,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_40,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_44,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_45,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]),
[final] ).
cnf(c_0_46,plain,
~ equalish(e_1,e_4),
c_0_41,
[final] ).
cnf(c_0_47,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_42,
[final] ).
cnf(c_0_49,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_45,c_0_39]),
[final] ).
cnf(c_0_53,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_54,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_55,plain,
~ equalish(e_2,e_1),
c_0_50,
[final] ).
cnf(c_0_56,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_51,
[final] ).
cnf(c_0_57,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
c_0_52,
[final] ).
cnf(c_0_59,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_60,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_64,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_67,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_63,
[final] ).
cnf(c_0_68,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_47]),
[final] ).
cnf(c_0_69,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_70,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_64]),
[final] ).
cnf(c_0_71,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_72,plain,
~ equalish(e_1,e_3),
c_0_65,
[final] ).
cnf(c_0_75,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_67]),
[final] ).
cnf(c_0_78,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_70,c_0_71]),
[final] ).
cnf(c_0_79,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_47]),
[final] ).
cnf(c_0_80,plain,
~ equalish(e_2,e_4),
c_0_73,
[final] ).
cnf(c_0_85,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_87,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_47]),
[final] ).
cnf(c_0_92,plain,
~ equalish(e_3,e_4),
c_0_86,
[final] ).
cnf(c_0_94,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_67]),
[final] ).
cnf(c_0_98,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_47]),
[final] ).
cnf(c_0_102,plain,
~ equalish(e_2,e_3),
c_0_96,
[final] ).
cnf(c_0_109,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_47]),
[final] ).
cnf(c_0_112,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),
[final] ).
cnf(c_0_114,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_67]),
[final] ).
cnf(c_0_116,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_56]),
[final] ).
cnf(c_0_118,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_115]),c_0_116]),c_0_117]),
[final] ).
cnf(c_0_121,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_60]),
[final] ).
cnf(c_0_122,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_104,c_0_112]),
[final] ).
cnf(c_0_123,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_118,c_0_113]),
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_67]),
[final] ).
cnf(c_0_126,negated_conjecture,
product(e_4,e_1,e_2),
inference(sr,[status(thm)],[c_0_119,c_0_118]),
[final] ).
cnf(c_0_129,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_85]),
[final] ).
cnf(c_0_131,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_95,c_0_123]),
[final] ).
cnf(c_0_133,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_67]),
[final] ).
cnf(c_0_135,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_126]),
[final] ).
cnf(c_0_141,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_56]),
[final] ).
cnf(c_0_145,negated_conjecture,
product(e_2,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_138]),c_0_131])]),
[final] ).
cnf(c_0_146,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_132]),c_0_139]),
[final] ).
cnf(c_0_147,negated_conjecture,
~ product(e_4,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_140]),c_0_141]),
[final] ).
cnf(c_0_151,negated_conjecture,
product(e_3,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_131])]),
[final] ).
cnf(c_0_153,negated_conjecture,
product(e_2,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_150]),c_0_145])]),
[final] ).
cnf(c_0_155,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_72,c_0_56]),
[final] ).
cnf(c_0_156,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_151]),
[final] ).
cnf(c_0_159,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_153]),
[final] ).
cnf(c_0_161,plain,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_154]),c_0_158]),
[final] ).
cnf(c_0_162,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_69]),
[final] ).
cnf(c_0_163,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[c_0_108,c_0_123]),
[final] ).
cnf(c_0_164,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_145]),
[final] ).
cnf(c_0_165,negated_conjecture,
product(e_1,e_3,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),
[final] ).
cnf(c_0_169,negated_conjecture,
product(e_3,e_2,e_1),
inference(spm,[status(thm)],[c_0_159,c_0_151]),
[final] ).
cnf(c_0_170,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_57,c_0_163]),
[final] ).
cnf(c_0_171,negated_conjecture,
product(e_1,e_2,e_4),
inference(spm,[status(thm)],[c_0_164,c_0_165]),
[final] ).
cnf(c_0_176,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_75,c_0_126]),
[final] ).
cnf(c_0_177,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_169]),
[final] ).
cnf(c_0_178,negated_conjecture,
( ~ product(X1,e_4,X2)
| ~ product(X2,e_2,e_4)
| product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_57,c_0_170]),
[final] ).
cnf(c_0_179,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_171]),
[final] ).
cnf(c_0_181,plain,
~ product(e_1,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_126])]),
[final] ).
cnf(c_0_185,negated_conjecture,
( ~ product(X1,e_3,X2)
| ~ product(X2,e_2,e_3)
| product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_177]),
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_178,c_0_171]),
[final] ).
cnf(c_0_187,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_165]),
[final] ).
cnf(c_0_188,negated_conjecture,
( ~ product(X1,e_1,X2)
| ~ product(X2,e_2,e_1)
| product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_57,c_0_179]),
[final] ).
cnf(c_0_190,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(spm,[status(thm)],[c_0_181,c_0_177]),
[final] ).
cnf(c_0_191,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_133,c_0_165]),
[final] ).
cnf(c_0_192,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_67]),
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_57,c_0_131]),
[final] ).
cnf(c_0_200,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_114,c_0_151]),
[final] ).
cnf(c_0_203,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_123,c_0_184]),
[final] ).
cnf(c_0_204,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(spm,[status(thm)],[c_0_133,c_0_145]),
[final] ).
cnf(c_0_205,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_185,c_0_163]),
[final] ).
cnf(c_0_206,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_179]),
[final] ).
cnf(c_0_207,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_56]),
[final] ).
cnf(c_0_208,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_56]),
[final] ).
cnf(c_0_209,negated_conjecture,
( ~ product(X1,e_1,X2)
| ~ product(X2,e_4,e_1)
| product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_57,c_0_186]),
[final] ).
cnf(c_0_210,negated_conjecture,
( ~ product(X1,e_1,X2)
| ~ product(X2,e_3,e_1)
| product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_187]),
[final] ).
cnf(c_0_211,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_188,c_0_169]),
[final] ).
cnf(c_0_212,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_156,c_0_170]),
[final] ).
cnf(c_0_213,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_214,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_215,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_216,negated_conjecture,
product(e_1,e_4,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_189,c_0_190]),c_0_191]),
[final] ).
cnf(c_0_234,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_197]),c_0_165])]),
[final] ).
cnf(c_0_236,plain,
~ product(e_4,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_198]),c_0_163])]),
[final] ).
cnf(c_0_240,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_118,c_0_170]),
[final] ).
cnf(c_0_241,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_98,c_0_163]),
[final] ).
cnf(c_0_242,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_192,c_0_151]),
[final] ).
cnf(c_0_243,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_205]),
[final] ).
cnf(c_0_244,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_205]),
[final] ).
cnf(c_0_245,negated_conjecture,
( ~ product(X1,e_4,e_1)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_186]),
[final] ).
cnf(c_0_246,negated_conjecture,
( ~ product(X1,e_4,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_94,c_0_186]),
[final] ).
cnf(c_0_247,negated_conjecture,
( ~ product(X1,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_116,c_0_186]),
[final] ).
cnf(c_0_248,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_206]),
[final] ).
cnf(c_0_249,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_179]),
[final] ).
cnf(c_0_250,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_179]),
[final] ).
cnf(c_0_251,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_207,c_0_179]),
[final] ).
cnf(c_0_252,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_179]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_187]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_94,c_0_187]),
[final] ).
cnf(c_0_255,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_177]),
[final] ).
cnf(c_0_256,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_177]),
[final] ).
cnf(c_0_257,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_170]),
[final] ).
cnf(c_0_258,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_116,c_0_170]),
[final] ).
cnf(c_0_259,negated_conjecture,
( ~ product(X1,e_1,X2)
| ~ product(X2,e_3,e_4)
| product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_209,c_0_205]),
[final] ).
cnf(c_0_260,negated_conjecture,
( ~ product(X1,e_1,X2)
| ~ product(X2,e_2,e_3)
| product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_210,c_0_177]),
[final] ).
cnf(c_0_261,negated_conjecture,
( ~ product(X1,e_4,X2)
| ~ product(X2,e_3,e_4)
| product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_57,c_0_205]),
[final] ).
cnf(c_0_262,negated_conjecture,
( ~ product(X1,e_4,X2)
| ~ product(X2,e_2,e_1)
| product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_206]),
[final] ).
cnf(c_0_263,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_211,c_0_186]),
[final] ).
cnf(c_0_264,negated_conjecture,
( ~ product(X1,e_3,X2)
| ~ product(X2,e_2,e_4)
| product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_57,c_0_212]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_193,c_0_187]),
[final] ).
cnf(c_0_266,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_213]),
[final] ).
cnf(c_0_267,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_214]),
[final] ).
cnf(c_0_268,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_215]),
[final] ).
cnf(c_0_269,negated_conjecture,
~ product(e_1,e_4,e_2),
inference(spm,[status(thm)],[c_0_116,c_0_216]),
[final] ).
cnf(c_0_270,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_205]),c_0_153])]),
[final] ).
cnf(c_0_271,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_205]),c_0_153])]),
[final] ).
cnf(c_0_272,negated_conjecture,
~ product(e_3,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_186]),c_0_131])]),
[final] ).
cnf(c_0_273,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_186]),c_0_131])]),
[final] ).
cnf(c_0_274,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_206]),c_0_151])]),
[final] ).
cnf(c_0_275,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_177]),c_0_163])]),
[final] ).
cnf(c_0_276,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_133]),
[final] ).
cnf(c_0_277,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_219]),c_0_114]),
[final] ).
cnf(c_0_278,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(spm,[status(thm)],[c_0_114,c_0_153]),
[final] ).
cnf(c_0_279,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(spm,[status(thm)],[c_0_192,c_0_153]),
[final] ).
cnf(c_0_280,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_208,c_0_153]),
[final] ).
cnf(c_0_281,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_220]),c_0_163])]),
[final] ).
cnf(c_0_282,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_170]),c_0_123]),
[final] ).
cnf(c_0_283,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(spm,[status(thm)],[c_0_141,c_0_145]),
[final] ).
cnf(c_0_284,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_109,c_0_151]),
[final] ).
cnf(c_0_285,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_123,c_0_222]),
[final] ).
cnf(c_0_286,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(spm,[status(thm)],[c_0_123,c_0_223]),
[final] ).
cnf(c_0_287,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_94,c_0_126]),
[final] ).
cnf(c_0_288,plain,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_126])]),
[final] ).
cnf(c_0_289,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_108]),c_0_226]),
[final] ).
cnf(c_0_290,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_108]),c_0_59]),
[final] ).
cnf(c_0_291,plain,
~ equalish(e_4,e_3),
c_0_228,
[final] ).
cnf(c_0_292,plain,
~ equalish(e_4,e_2),
c_0_229,
[final] ).
cnf(c_0_293,plain,
~ equalish(e_4,e_1),
c_0_230,
[final] ).
cnf(c_0_294,plain,
~ equalish(e_3,e_2),
c_0_231,
[final] ).
cnf(c_0_295,plain,
~ equalish(e_3,e_1),
c_0_232,
[final] ).
cnf(c_0_296,plain,
~ equalish(e_1,e_2),
c_0_233,
[final] ).
cnf(c_0_297,plain,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[c_0_182,c_0_234]),
[final] ).
cnf(c_0_298,plain,
product(e_4,e_3,e_1),
inference(sr,[status(thm)],[c_0_235,c_0_236]),
[final] ).
cnf(c_0_299,plain,
product(e_3,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_237]),c_0_145])]),
[final] ).
cnf(c_0_300,plain,
product(e_2,e_2,e_2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_241]),c_0_242]),
[final] ).
cnf(c_0_301,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP128-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n009.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 19:59:57 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.51 Running first-order theorem proving
% 0.18/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.14/0.71 % Version: 3.5.1
% 1.14/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.14/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.14/0.71 % Starting new_bool_3 with 300s (1) cores
% 1.14/0.71 % Starting new_bool_1 with 300s (1) cores
% 1.14/0.71 % Starting sh5l with 300s (1) cores
% 1.14/0.71 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4111022 completed with status 1
% 1.14/0.71 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.14/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.14/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.14/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.14/0.71 % No SInE strategy applied
% 1.14/0.71 % Search class: FGHNF-FFSM00-SFFFFFNN
% 1.14/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.14/0.71 % Starting SubtermCWHack with 136s (1) cores
% 1.14/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.14/0.71 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 1.14/0.71 % Starting new_bool_3 with 136s (1) cores
% 1.14/0.71 % Starting new_bool_1 with 136s (1) cores
% 1.14/0.71 % G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 4111031 completed with status 1
% 1.14/0.71 % Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 1.14/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.14/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.14/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.14/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.14/0.71 % No SInE strategy applied
% 1.14/0.71 % Search class: FGHNF-FFSM00-SFFFFFNN
% 1.14/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.14/0.71 % Starting SubtermCWHack with 136s (1) cores
% 1.14/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.14/0.71 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 1.14/0.71 % Preprocessing time : 0.002 s
% 1.14/0.71 % Presaturation interreduction done
% 1.14/0.71
% 1.14/0.71 % No proof found!
% 1.14/0.71 % SZS status Satisfiable
% 1.14/0.71 % SZS output start Saturation
% See solution above
% 1.14/0.71 % Parsed axioms : 31
% 1.14/0.71 % Removed by relevancy pruning/SinE : 0
% 1.14/0.71 % Initial clauses : 31
% 1.14/0.71 % Removed in clause preprocessing : 0
% 1.14/0.71 % Initial clauses in saturation : 31
% 1.14/0.71 % Processed clauses : 724
% 1.14/0.71 % ...of these trivial : 4
% 1.14/0.71 % ...subsumed : 245
% 1.14/0.71 % ...remaining for further processing : 475
% 1.14/0.71 % Other redundant clauses eliminated : 0
% 1.14/0.71 % Clauses deleted for lack of memory : 0
% 1.14/0.71 % Backward-subsumed : 237
% 1.14/0.71 % Backward-rewritten : 25
% 1.14/0.71 % Generated clauses : 1141
% 1.14/0.71 % ...of the previous two non-redundant : 1039
% 1.14/0.71 % ...aggressively subsumed : 0
% 1.14/0.71 % Contextual simplify-reflections : 57
% 1.14/0.71 % Paramodulations : 1119
% 1.14/0.71 % Factorizations : 0
% 1.14/0.71 % NegExts : 0
% 1.14/0.71 % Equation resolutions : 0
% 1.14/0.71 % Disequality decompositions : 0
% 1.14/0.71 % Total rewrite steps : 75
% 1.14/0.71 % ...of those cached : 62
% 1.14/0.71 % Propositional unsat checks : 0
% 1.14/0.71 % Propositional check models : 0
% 1.14/0.71 % Propositional check unsatisfiable : 0
% 1.14/0.71 % Propositional clauses : 0
% 1.14/0.71 % Propositional clauses after purity: 0
% 1.14/0.71 % Propositional unsat core size : 0
% 1.14/0.71 % Propositional preprocessing time : 0.000
% 1.14/0.71 % Propositional encoding time : 0.000
% 1.14/0.71 % Propositional solver time : 0.000
% 1.14/0.71 % Success case prop preproc time : 0.000
% 1.14/0.71 % Success case prop encoding time : 0.000
% 1.14/0.71 % Success case prop solver time : 0.000
% 1.14/0.71 % Current number of processed clauses : 160
% 1.14/0.71 % Positive orientable unit clauses : 27
% 1.14/0.71 % Positive unorientable unit clauses: 0
% 1.14/0.71 % Negative unit clauses : 55
% 1.14/0.71 % Non-unit-clauses : 78
% 1.14/0.71 % Current number of unprocessed clauses: 0
% 1.14/0.71 % ...number of literals in the above : 0
% 1.14/0.71 % Current number of archived formulas : 0
% 1.14/0.71 % Current number of archived clauses : 315
% 1.14/0.71 % Clause-clause subsumption calls (NU) : 9574
% 1.14/0.71 % Rec. Clause-clause subsumption calls : 8375
% 1.14/0.71 % Non-unit clause-clause subsumptions : 235
% 1.14/0.71 % Unit Clause-clause subsumption calls : 668
% 1.14/0.71 % Rewrite failures with RHS unbound : 0
% 1.14/0.71 % BW rewrite match attempts : 51
% 1.14/0.71 % BW rewrite match successes : 12
% 1.14/0.71 % Condensation attempts : 0
% 1.14/0.71 % Condensation successes : 0
% 1.14/0.71 % Termbank termtop insertions : 12258
% 1.14/0.71 % Search garbage collected termcells : 56
% 1.14/0.71
% 1.14/0.71 % -------------------------------------------------
% 1.14/0.71 % User time : 0.069 s
% 1.14/0.71 % System time : 0.009 s
% 1.14/0.71 % Total time : 0.078 s
% 1.14/0.71 % Maximum resident set size: 3644 pages
% 1.14/0.71
% 1.14/0.71 % -------------------------------------------------
% 1.14/0.71 % User time : 0.576 s
% 1.14/0.71 % System time : 0.029 s
% 1.14/0.71 % Total time : 0.605 s
% 1.14/0.71 % Maximum resident set size: 4864 pages
% 1.14/0.71 % E exiting
%------------------------------------------------------------------------------