TSTP Solution File: GRP128-2.004 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP128-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:45:48 EDT 2023
% Result : Satisfiable 0.19s 0.53s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named e_4_is_not_e_1)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_31,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_32,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_33,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_34,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_35,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_36,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_37,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_38,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_33]),
[final] ).
cnf(c_0_39,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_40,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_41,plain,
( product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]),
[final] ).
cnf(c_0_42,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_36,c_0_37]),
[final] ).
cnf(c_0_43,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_38,c_0_37]),
[final] ).
cnf(c_0_44,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]),
[final] ).
cnf(c_0_45,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_42]),c_0_43]),
[final] ).
cnf(c_0_46,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_47,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_48,negated_conjecture,
( product(X1,X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X4) ),
qg3,
[final] ).
cnf(c_0_50,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_51,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_52,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_55,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_40]),
[final] ).
cnf(c_0_56,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_52]),
[final] ).
cnf(c_0_57,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_59,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_61,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_62,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_63,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_65,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_59]),
[final] ).
cnf(c_0_68,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_40]),
[final] ).
cnf(c_0_71,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_73,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_74,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_75,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_59]),
[final] ).
cnf(c_0_78,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_40]),
[final] ).
cnf(c_0_81,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_40]),
[final] ).
cnf(c_0_85,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_89,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_40]),
[final] ).
cnf(c_0_91,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),
[final] ).
cnf(c_0_93,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_90,c_0_91]),
[final] ).
cnf(c_0_99,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_59]),
[final] ).
cnf(c_0_102,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_85,c_0_47]),
[final] ).
cnf(c_0_103,plain,
( product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_51]),
[final] ).
cnf(c_0_105,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_100]),c_0_101]),c_0_102]),
[final] ).
cnf(c_0_106,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]),
[final] ).
cnf(c_0_108,plain,
( product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_73]),
[final] ).
cnf(c_0_110,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_105,c_0_98]),
[final] ).
cnf(c_0_112,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_59]),
[final] ).
cnf(c_0_117,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_77,c_0_110]),
[final] ).
cnf(c_0_120,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_47]),
[final] ).
cnf(c_0_123,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_47]),
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_59]),
[final] ).
cnf(c_0_126,negated_conjecture,
product(e_4,e_1,e_2),
inference(sr,[status(thm)],[c_0_96,c_0_105]),
[final] ).
cnf(c_0_129,negated_conjecture,
product(e_2,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_116]),c_0_117])]),
[final] ).
cnf(c_0_130,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_111]),c_0_118]),
[final] ).
cnf(c_0_131,negated_conjecture,
~ product(e_4,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_119]),c_0_120]),
[final] ).
cnf(c_0_132,negated_conjecture,
product(e_3,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_121]),c_0_117])]),
[final] ).
cnf(c_0_134,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_113]),c_0_124]),c_0_125]),
[final] ).
cnf(c_0_135,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_65,c_0_126]),
[final] ).
cnf(c_0_140,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_132]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_127]),c_0_134]),c_0_135]),c_0_136]),
[final] ).
cnf(c_0_142,negated_conjecture,
product(e_2,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_137]),c_0_129])]),
[final] ).
cnf(c_0_144,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_47]),
[final] ).
cnf(c_0_147,plain,
( product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_61]),
[final] ).
cnf(c_0_151,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_123,c_0_142]),
[final] ).
cnf(c_0_152,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(spm,[status(thm)],[c_0_110,c_0_143]),
[final] ).
cnf(c_0_153,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_89,c_0_132]),
[final] ).
cnf(c_0_154,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_138]),c_0_144]),c_0_145]),
[final] ).
cnf(c_0_156,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[c_0_88,c_0_110]),
[final] ).
cnf(c_0_158,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_98]),c_0_148]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_129]),
[final] ).
cnf(c_0_160,negated_conjecture,
product(e_1,e_3,e_2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),
[final] ).
cnf(c_0_162,plain,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_142])]),c_0_135]),
[final] ).
cnf(c_0_163,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_156]),
[final] ).
cnf(c_0_165,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_124,c_0_132]),
[final] ).
cnf(c_0_166,negated_conjecture,
product(e_1,e_2,e_4),
inference(spm,[status(thm)],[c_0_159,c_0_160]),
[final] ).
cnf(c_0_168,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_99,c_0_162]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(X1,X2,e_3)
| ~ product(X2,e_2,e_4)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_163]),
[final] ).
cnf(c_0_171,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_105,c_0_163]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_166]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_126]),
[final] ).
cnf(c_0_177,plain,
product(e_4,e_3,e_1),
inference(sr,[status(thm)],[c_0_167,c_0_168]),
[final] ).
cnf(c_0_178,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_169,c_0_166]),
[final] ).
cnf(c_0_179,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_160]),
[final] ).
cnf(c_0_180,plain,
product(e_3,e_2,e_1),
inference(sr,[status(thm)],[c_0_170,c_0_171]),
[final] ).
cnf(c_0_181,negated_conjecture,
( product(X1,X2,e_4)
| ~ product(X2,e_2,e_1)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_172]),
[final] ).
cnf(c_0_190,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_99,c_0_132]),
[final] ).
cnf(c_0_191,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_176,c_0_172]),
[final] ).
cnf(c_0_192,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_47]),
[final] ).
cnf(c_0_193,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_177]),
[final] ).
cnf(c_0_194,negated_conjecture,
( product(X1,X2,e_3)
| ~ product(X2,e_4,e_1)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_178]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product(X1,X2,e_2)
| ~ product(X2,e_3,e_1)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_179]),
[final] ).
cnf(c_0_196,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_180]),
[final] ).
cnf(c_0_197,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_181,c_0_180]),
[final] ).
cnf(c_0_198,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_140,c_0_163]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_117]),
[final] ).
cnf(c_0_200,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_201,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_202,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_215,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_110,c_0_188]),
[final] ).
cnf(c_0_216,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(spm,[status(thm)],[c_0_124,c_0_142]),
[final] ).
cnf(c_0_217,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(spm,[status(thm)],[c_0_112,c_0_129]),
[final] ).
cnf(c_0_219,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_178]),
[final] ).
cnf(c_0_220,negated_conjecture,
( ~ product(X1,e_3,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_178]),
[final] ).
cnf(c_0_221,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_178]),
[final] ).
cnf(c_0_222,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_191]),
[final] ).
cnf(c_0_223,negated_conjecture,
( ~ product(X1,e_4,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_172]),
[final] ).
cnf(c_0_224,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_120,c_0_172]),
[final] ).
cnf(c_0_225,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_192,c_0_172]),
[final] ).
cnf(c_0_226,negated_conjecture,
( ~ product(X1,e_2,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_179]),
[final] ).
cnf(c_0_227,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_179]),
[final] ).
cnf(c_0_228,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_193]),
[final] ).
cnf(c_0_229,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_193]),
[final] ).
cnf(c_0_230,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_193]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product(X1,X2,e_3)
| ~ product(X2,e_3,e_4)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_194,c_0_193]),
[final] ).
cnf(c_0_232,negated_conjecture,
( product(X1,X2,e_2)
| ~ product(X2,e_2,e_3)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]),
[final] ).
cnf(c_0_233,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_196]),
[final] ).
cnf(c_0_234,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_123,c_0_196]),
[final] ).
cnf(c_0_235,negated_conjecture,
( ~ product(X1,e_3,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_99,c_0_163]),
[final] ).
cnf(c_0_236,negated_conjecture,
( product(X1,X2,e_2)
| ~ product(X2,e_2,e_1)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_191]),
[final] ).
cnf(c_0_237,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_197,c_0_178]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product(X1,X2,e_1)
| ~ product(X2,e_3,e_4)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_193]),
[final] ).
cnf(c_0_239,negated_conjecture,
( product(X1,X2,e_1)
| ~ product(X2,e_2,e_3)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_196]),
[final] ).
cnf(c_0_240,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_163]),
[final] ).
cnf(c_0_241,negated_conjecture,
( product(X1,X2,e_2)
| ~ product(X2,e_2,e_4)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_198]),
[final] ).
cnf(c_0_242,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_199,c_0_179]),
[final] ).
cnf(c_0_243,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_142]),
[final] ).
cnf(c_0_244,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_200]),
[final] ).
cnf(c_0_245,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_201]),
[final] ).
cnf(c_0_246,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_202]),
[final] ).
cnf(c_0_247,negated_conjecture,
~ product(e_3,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_178]),c_0_117])]),
[final] ).
cnf(c_0_248,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_178]),c_0_117])]),
[final] ).
cnf(c_0_249,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_193]),c_0_142])]),
[final] ).
cnf(c_0_250,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_193]),c_0_142])]),
[final] ).
cnf(c_0_251,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_112,c_0_160]),
[final] ).
cnf(c_0_252,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_203]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),
[final] ).
cnf(c_0_253,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_204]),c_0_151]),c_0_152]),c_0_153]),c_0_154]),
[final] ).
cnf(c_0_254,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_81,c_0_162]),
[final] ).
cnf(c_0_255,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_134,c_0_163]),
[final] ).
cnf(c_0_256,plain,
~ product(e_2,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_205]),c_0_129])]),
[final] ).
cnf(c_0_257,plain,
~ product(e_3,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_206]),c_0_129])]),
[final] ).
cnf(c_0_258,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(spm,[status(thm)],[c_0_120,c_0_129]),
[final] ).
cnf(c_0_259,plain,
~ product(e_4,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_129])]),
[final] ).
cnf(c_0_260,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_156])]),
[final] ).
cnf(c_0_261,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_110,c_0_209]),
[final] ).
cnf(c_0_262,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_75,c_0_126]),
[final] ).
cnf(c_0_263,plain,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_126])]),
[final] ).
cnf(c_0_264,plain,
~ product(e_1,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_126])]),
[final] ).
cnf(c_0_265,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_88]),c_0_50]),
[final] ).
cnf(c_0_266,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_88]),c_0_174]),
[final] ).
cnf(c_0_267,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_268,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_269,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_270,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_271,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_272,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_273,plain,
product(e_2,e_2,e_2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]),
[final] ).
cnf(c_0_274,plain,
product(e_3,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_218]),c_0_129])]),
[final] ).
cnf(c_0_275,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP128-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 02:22:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 Running first-order model finding
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.8jodL3uTIh/E---3.1_4649.p
% 0.19/0.53 # Version: 3.1pre001
% 0.19/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53 # Starting sh5l with 300s (1) cores
% 0.19/0.53 # new_bool_3 with pid 4780 completed with status 1
% 0.19/0.53 # Result found by new_bool_3
% 0.19/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.53 # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.19/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.19/0.53 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 4785 completed with status 1
% 0.19/0.53 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.19/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.53 # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.19/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.19/0.53 # Preprocessing time : 0.001 s
% 0.19/0.53 # Presaturation interreduction done
% 0.19/0.53
% 0.19/0.53 # No proof found!
% 0.19/0.53 # SZS status Satisfiable
% 0.19/0.53 # SZS output start Saturation
% See solution above
% 0.19/0.53 # Parsed axioms : 31
% 0.19/0.53 # Removed by relevancy pruning/SinE : 0
% 0.19/0.53 # Initial clauses : 31
% 0.19/0.53 # Removed in clause preprocessing : 0
% 0.19/0.53 # Initial clauses in saturation : 31
% 0.19/0.53 # Processed clauses : 756
% 0.19/0.53 # ...of these trivial : 11
% 0.19/0.53 # ...subsumed : 241
% 0.19/0.53 # ...remaining for further processing : 504
% 0.19/0.53 # Other redundant clauses eliminated : 0
% 0.19/0.53 # Clauses deleted for lack of memory : 0
% 0.19/0.53 # Backward-subsumed : 260
% 0.19/0.53 # Backward-rewritten : 30
% 0.19/0.53 # Generated clauses : 1072
% 0.19/0.53 # ...of the previous two non-redundant : 971
% 0.19/0.53 # ...aggressively subsumed : 0
% 0.19/0.53 # Contextual simplify-reflections : 50
% 0.19/0.53 # Paramodulations : 1048
% 0.19/0.53 # Factorizations : 0
% 0.19/0.53 # NegExts : 0
% 0.19/0.53 # Equation resolutions : 0
% 0.19/0.53 # Total rewrite steps : 77
% 0.19/0.53 # Propositional unsat checks : 0
% 0.19/0.53 # Propositional check models : 0
% 0.19/0.53 # Propositional check unsatisfiable : 0
% 0.19/0.53 # Propositional clauses : 0
% 0.19/0.53 # Propositional clauses after purity: 0
% 0.19/0.53 # Propositional unsat core size : 0
% 0.19/0.53 # Propositional preprocessing time : 0.000
% 0.19/0.53 # Propositional encoding time : 0.000
% 0.19/0.53 # Propositional solver time : 0.000
% 0.19/0.53 # Success case prop preproc time : 0.000
% 0.19/0.53 # Success case prop encoding time : 0.000
% 0.19/0.53 # Success case prop solver time : 0.000
% 0.19/0.53 # Current number of processed clauses : 159
% 0.19/0.53 # Positive orientable unit clauses : 26
% 0.19/0.53 # Positive unorientable unit clauses: 0
% 0.19/0.53 # Negative unit clauses : 54
% 0.19/0.53 # Non-unit-clauses : 79
% 0.19/0.53 # Current number of unprocessed clauses: 0
% 0.19/0.53 # ...number of literals in the above : 0
% 0.19/0.53 # Current number of archived formulas : 0
% 0.19/0.53 # Current number of archived clauses : 345
% 0.19/0.53 # Clause-clause subsumption calls (NU) : 10987
% 0.19/0.53 # Rec. Clause-clause subsumption calls : 10027
% 0.19/0.53 # Non-unit clause-clause subsumptions : 237
% 0.19/0.53 # Unit Clause-clause subsumption calls : 788
% 0.19/0.53 # Rewrite failures with RHS unbound : 0
% 0.19/0.53 # BW rewrite match attempts : 49
% 0.19/0.53 # BW rewrite match successes : 11
% 0.19/0.53 # Condensation attempts : 0
% 0.19/0.53 # Condensation successes : 0
% 0.19/0.53 # Termbank termtop insertions : 11277
% 0.19/0.53
% 0.19/0.53 # -------------------------------------------------
% 0.19/0.53 # User time : 0.042 s
% 0.19/0.53 # System time : 0.003 s
% 0.19/0.53 # Total time : 0.045 s
% 0.19/0.53 # Maximum resident set size: 1636 pages
% 0.19/0.53
% 0.19/0.53 # -------------------------------------------------
% 0.19/0.53 # User time : 0.042 s
% 0.19/0.53 # System time : 0.006 s
% 0.19/0.53 # Total time : 0.048 s
% 0.19/0.53 # Maximum resident set size: 1684 pages
% 0.19/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------