%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP125-1.004 : 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 : n015.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 12:38:01 PM UTC 2026
% Result : Satisfiable 1.09s 0.65s
% Output : Saturation 1.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_22ERROR: Could not build tree for root c_0_40ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_24,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_22,
[final] ).
cnf(c_0_25,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_26,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_28,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_23,
[final] ).
cnf(c_0_29,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_30,plain,
( ~ group_element(X1)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]),
[final] ).
cnf(c_0_31,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_33,plain,
( ~ group_element(X1)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_24,c_0_26]),
[final] ).
cnf(c_0_35,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_27,
[final] ).
cnf(c_0_36,plain,
( ~ product(X2,X1,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_38,plain,
~ equalish(e_4,e_1),
c_0_32,
[final] ).
cnf(c_0_40,plain,
( ~ group_element(X1)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_24,c_0_31]),
[final] ).
cnf(c_0_43,plain,
~ equalish(e_3,e_1),
c_0_34,
[final] ).
cnf(c_0_44,plain,
( ~ product(X1,X2,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]),
[final] ).
cnf(c_0_46,plain,
~ equalish(e_1,e_4),
c_0_39,
[final] ).
cnf(c_0_48,negated_conjecture,
( ~ product(X2,X1,X4)
| ~ product(X1,X2,X3)
| product(X3,X4,X1) ),
c_0_41,
[final] ).
cnf(c_0_49,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_42]),c_0_43]),
[final] ).
cnf(c_0_51,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),
[final] ).
cnf(c_0_53,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_54,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_50]),c_0_43]),
[final] ).
cnf(c_0_56,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_51]),
[final] ).
cnf(c_0_57,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_52]),c_0_46]),
[final] ).
cnf(c_0_60,plain,
~ equalish(e_1,e_3),
c_0_55,
[final] ).
cnf(c_0_61,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_62,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_58,
[final] ).
cnf(c_0_63,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_54]),
[final] ).
cnf(c_0_64,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_59]),c_0_60]),
[final] ).
cnf(c_0_66,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_67,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_61]),
[final] ).
cnf(c_0_68,plain,
( ~ product(X2,X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_29]),
[final] ).
cnf(c_0_70,plain,
~ equalish(e_3,e_4),
c_0_65,
[final] ).
cnf(c_0_71,plain,
( ~ group_element(X1)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_24,c_0_66]),
[final] ).
cnf(c_0_73,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_57]),
[final] ).
cnf(c_0_76,plain,
~ equalish(e_2,e_1),
c_0_72,
[final] ).
cnf(c_0_77,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_73]),
[final] ).
cnf(c_0_78,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_74]),c_0_60]),
[final] ).
cnf(c_0_80,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_75]),c_0_76]),
[final] ).
cnf(c_0_82,plain,
~ equalish(e_4,e_3),
c_0_79,
[final] ).
cnf(c_0_83,plain,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_80]),
[final] ).
cnf(c_0_84,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_81]),c_0_82]),
[final] ).
cnf(c_0_86,plain,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_51]),
[final] ).
cnf(c_0_88,plain,
~ equalish(e_2,e_4),
c_0_85,
[final] ).
cnf(c_0_94,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_57]),
[final] ).
cnf(c_0_95,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]),
[final] ).
cnf(c_0_97,plain,
~ equalish(e_1,e_2),
c_0_93,
[final] ).
cnf(c_0_100,plain,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_95]),
[final] ).
cnf(c_0_101,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_96]),c_0_97]),
[final] ).
cnf(c_0_102,plain,
~ equalish(e_2,e_3),
c_0_98,
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_64]),
[final] ).
cnf(c_0_109,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_106]),c_0_82]),
[final] ).
cnf(c_0_110,plain,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_57]),
[final] ).
cnf(c_0_111,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_107]),c_0_70]),
[final] ).
cnf(c_0_112,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_61]),
[final] ).
cnf(c_0_113,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_108]),c_0_82]),
[final] ).
cnf(c_0_115,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_76]),
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_115]),
[final] ).
cnf(c_0_120,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_117]),c_0_82]),
[final] ).
cnf(c_0_122,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_64]),
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_113]),
[final] ).
cnf(c_0_126,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_73]),
[final] ).
cnf(c_0_128,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_120]),
[final] ).
cnf(c_0_131,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_25]),
[final] ).
cnf(c_0_136,plain,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_131]),
[final] ).
cnf(c_0_137,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_132]),c_0_82]),
[final] ).
cnf(c_0_139,negated_conjecture,
( ~ product(X2,X2,X1)
| product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_29]),
[final] ).
cnf(c_0_140,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_134]),c_0_82]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_135]),c_0_60]),
[final] ).
cnf(c_0_146,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_101]),
[final] ).
cnf(c_0_150,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_78]),
[final] ).
cnf(c_0_151,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_109]),
[final] ).
cnf(c_0_153,plain,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_95]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_145]),c_0_82]),
[final] ).
cnf(c_0_155,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_95]),
[final] ).
cnf(c_0_156,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_25]),
[final] ).
cnf(c_0_158,plain,
~ equalish(e_4,e_2),
c_0_148,
[final] ).
cnf(c_0_164,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_157]),c_0_158]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_161]),c_0_158]),
[final] ).
cnf(c_0_174,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_156]),
[final] ).
cnf(c_0_175,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_168]),c_0_82]),
[final] ).
cnf(c_0_179,plain,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_156]),
[final] ).
cnf(c_0_180,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_172]),c_0_97]),
[final] ).
cnf(c_0_183,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_176]),c_0_82]),
[final] ).
cnf(c_0_185,plain,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_156]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_120]),c_0_43]),
[final] ).
cnf(c_0_194,plain,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_49]),
[final] ).
cnf(c_0_198,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_73]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_192]),c_0_70]),
[final] ).
cnf(c_0_204,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_195]),c_0_82]),
[final] ).
cnf(c_0_205,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_196]),c_0_70]),
[final] ).
cnf(c_0_208,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_141]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_200]),c_0_82]),
[final] ).
cnf(c_0_210,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_201]),
[final] ).
cnf(c_0_212,negated_conjecture,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_101]),
[final] ).
cnf(c_0_213,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_202]),c_0_82]),
[final] ).
cnf(c_0_214,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_141]),
[final] ).
cnf(c_0_215,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_203]),c_0_60]),
[final] ).
cnf(c_0_217,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_205]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_207]),c_0_82]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_38]),
[final] ).
cnf(c_0_222,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_210,c_0_101]),
[final] ).
cnf(c_0_224,plain,
( ~ product(X1,e_4,e_3)
| equalish(X1,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_51]),
[final] ).
cnf(c_0_225,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_186]),c_0_70]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_139]),
[final] ).
cnf(c_0_229,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_217,c_0_109]),
[final] ).
cnf(c_0_231,plain,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_54]),
[final] ).
cnf(c_0_232,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_213]),c_0_43]),
[final] ).
cnf(c_0_233,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_64]),
[final] ).
cnf(c_0_235,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_221]),
[final] ).
cnf(c_0_236,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_222]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_76]),
[final] ).
cnf(c_0_240,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_227]),c_0_88]),
[final] ).
cnf(c_0_242,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_78]),
[final] ).
cnf(c_0_244,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_229]),
[final] ).
cnf(c_0_250,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_220]),c_0_38]),
[final] ).
cnf(c_0_251,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_38]),
[final] ).
cnf(c_0_252,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_238]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_240]),
[final] ).
cnf(c_0_256,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_38]),
[final] ).
cnf(c_0_257,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_38]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_246]),c_0_60]),
[final] ).
cnf(c_0_259,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_247]),c_0_60]),
[final] ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_248]),c_0_60]),
[final] ).
cnf(c_0_263,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_250]),
[final] ).
cnf(c_0_264,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_251]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_43]),
[final] ).
cnf(c_0_267,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_256]),
[final] ).
cnf(c_0_268,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_257]),
[final] ).
cnf(c_0_269,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_258]),
[final] ).
cnf(c_0_270,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_209]),
[final] ).
cnf(c_0_271,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_175]),
[final] ).
cnf(c_0_272,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_259]),
[final] ).
cnf(c_0_274,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_261]),
[final] ).
cnf(c_0_275,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_262]),c_0_97]),
[final] ).
cnf(c_0_277,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_201]),
[final] ).
cnf(c_0_279,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_265]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_266]),c_0_97]),
[final] ).
cnf(c_0_282,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_205]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_156]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_271,c_0_156]),
[final] ).
cnf(c_0_288,plain,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_215]),
[final] ).
cnf(c_0_289,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_273]),c_0_82]),
[final] ).
cnf(c_0_290,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_183]),
[final] ).
cnf(c_0_292,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_275]),
[final] ).
cnf(c_0_293,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_276]),c_0_97]),
[final] ).
cnf(c_0_295,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_94,c_0_51]),
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_204]),
[final] ).
cnf(c_0_301,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_281]),c_0_97]),
[final] ).
cnf(c_0_303,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_213]),
[final] ).
cnf(c_0_307,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_183]),
[final] ).
cnf(c_0_309,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_38]),
[final] ).
cnf(c_0_310,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_290,c_0_95]),
[final] ).
cnf(c_0_311,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_275]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]),
[final] ).
cnf(c_0_314,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_294]),c_0_88]),
[final] ).
cnf(c_0_315,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_295]),
[final] ).
cnf(c_0_316,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_113]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_296]),c_0_97]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_297]),c_0_88]),
[final] ).
cnf(c_0_319,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_213]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_298]),c_0_97]),
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_300,c_0_301]),
[final] ).
cnf(c_0_323,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_120]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_302]),c_0_97]),
[final] ).
cnf(c_0_326,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_225]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_46]),
[final] ).
cnf(c_0_328,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_186]),
[final] ).
cnf(c_0_329,plain,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_215]),
[final] ).
cnf(c_0_330,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_295]),
[final] ).
cnf(c_0_331,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_305]),c_0_60]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_306]),c_0_60]),
[final] ).
cnf(c_0_333,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_46]),
[final] ).
cnf(c_0_334,plain,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_309]),c_0_88]),
[final] ).
cnf(c_0_335,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_310]),c_0_88]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_46]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_313]),c_0_88]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_314]),c_0_76]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_209]),c_0_43]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_209]),c_0_43]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_318]),c_0_76]),
[final] ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_321]),c_0_82]),
[final] ).
cnf(c_0_345,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_322]),c_0_88]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_323,c_0_324]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_325]),c_0_60]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_201]),c_0_76]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_205]),c_0_76]),
[final] ).
cnf(c_0_350,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_326,c_0_327]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_328,c_0_232]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_295]),c_0_82]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_61]),c_0_82]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_330,c_0_57]),
[final] ).
cnf(c_0_356,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_331]),
[final] ).
cnf(c_0_357,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_332]),
[final] ).
cnf(c_0_358,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_333]),
[final] ).
cnf(c_0_359,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_333]),
[final] ).
cnf(c_0_360,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_333]),
[final] ).
cnf(c_0_361,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_333]),
[final] ).
cnf(c_0_362,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_331]),
[final] ).
cnf(c_0_363,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_331]),
[final] ).
cnf(c_0_364,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_331]),
[final] ).
cnf(c_0_365,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_285]),
[final] ).
cnf(c_0_366,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_334]),
[final] ).
cnf(c_0_367,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_332]),
[final] ).
cnf(c_0_368,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_332]),
[final] ).
cnf(c_0_369,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_332]),
[final] ).
cnf(c_0_370,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_285]),
[final] ).
cnf(c_0_371,negated_conjecture,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_285]),
[final] ).
cnf(c_0_372,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_285]),
[final] ).
cnf(c_0_373,plain,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_334]),
[final] ).
cnf(c_0_374,plain,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_1,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_334]),
[final] ).
cnf(c_0_375,plain,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_334]),
[final] ).
cnf(c_0_376,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_286]),
[final] ).
cnf(c_0_377,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_286]),
[final] ).
cnf(c_0_378,negated_conjecture,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_286]),
[final] ).
cnf(c_0_379,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_286]),
[final] ).
cnf(c_0_380,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_335]),
[final] ).
cnf(c_0_381,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_310]),
[final] ).
cnf(c_0_382,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_309]),
[final] ).
cnf(c_0_383,plain,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_309]),
[final] ).
cnf(c_0_384,plain,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_309]),
[final] ).
cnf(c_0_385,plain,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_309]),
[final] ).
cnf(c_0_386,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_335]),
[final] ).
cnf(c_0_387,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_335]),
[final] ).
cnf(c_0_388,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_335]),
[final] ).
cnf(c_0_389,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_259]),
[final] ).
cnf(c_0_390,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_259]),
[final] ).
cnf(c_0_391,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_259]),
[final] ).
cnf(c_0_392,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_310]),
[final] ).
cnf(c_0_393,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_310]),
[final] ).
cnf(c_0_394,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_310]),
[final] ).
cnf(c_0_395,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_336]),
[final] ).
cnf(c_0_396,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_336]),
[final] ).
cnf(c_0_397,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_336]),
[final] ).
cnf(c_0_398,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_336]),
[final] ).
cnf(c_0_399,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_337]),
[final] ).
cnf(c_0_400,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_313]),
[final] ).
cnf(c_0_401,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_337]),
[final] ).
cnf(c_0_402,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_337]),
[final] ).
cnf(c_0_403,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_337]),
[final] ).
cnf(c_0_404,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_313]),
[final] ).
cnf(c_0_405,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_313]),
[final] ).
cnf(c_0_406,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_313]),
[final] ).
cnf(c_0_407,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_275]),
[final] ).
cnf(c_0_408,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_275]),
[final] ).
cnf(c_0_409,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_293]),
[final] ).
cnf(c_0_410,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_293]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_293]),
[final] ).
cnf(c_0_412,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_293]),
[final] ).
cnf(c_0_413,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_261]),
[final] ).
cnf(c_0_414,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_261]),
[final] ).
cnf(c_0_415,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_261]),
[final] ).
cnf(c_0_416,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_220]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_250]),
[final] ).
cnf(c_0_418,negated_conjecture,
( ~ product(e_2,X1,e_4)
| equalish(X1,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_250]),
[final] ).
cnf(c_0_419,negated_conjecture,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_250]),
[final] ).
cnf(c_0_420,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_220]),
[final] ).
cnf(c_0_421,negated_conjecture,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_220]),
[final] ).
cnf(c_0_422,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_220]),
[final] ).
cnf(c_0_423,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_183]),
[final] ).
cnf(c_0_424,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_183]),
[final] ).
cnf(c_0_425,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_1,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_338]),
[final] ).
cnf(c_0_426,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_314]),
[final] ).
cnf(c_0_427,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_339]),
[final] ).
cnf(c_0_428,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_340]),
[final] ).
cnf(c_0_429,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_2,e_1,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_338]),
[final] ).
cnf(c_0_430,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_1,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_338]),
[final] ).
cnf(c_0_431,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_338]),
[final] ).
cnf(c_0_432,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_4)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_314]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_314]),
[final] ).
cnf(c_0_434,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_314]),
[final] ).
cnf(c_0_435,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_339]),
[final] ).
cnf(c_0_436,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_339]),
[final] ).
cnf(c_0_437,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_339]),
[final] ).
cnf(c_0_438,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_340]),
[final] ).
cnf(c_0_439,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_340]),
[final] ).
cnf(c_0_440,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_340]),
[final] ).
cnf(c_0_441,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_221]),
[final] ).
cnf(c_0_442,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_221]),
[final] ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_221]),
[final] ).
cnf(c_0_444,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_209]),
[final] ).
cnf(c_0_445,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_209]),
[final] ).
cnf(c_0_446,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_209]),
[final] ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_289]),
[final] ).
cnf(c_0_448,plain,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_289]),
[final] ).
cnf(c_0_449,plain,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_289]),
[final] ).
cnf(c_0_450,plain,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_289]),
[final] ).
cnf(c_0_451,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_341]),
[final] ).
cnf(c_0_452,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_317]),
[final] ).
cnf(c_0_453,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_341]),
[final] ).
cnf(c_0_454,negated_conjecture,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_341]),
[final] ).
cnf(c_0_455,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_341]),
[final] ).
cnf(c_0_456,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_317]),
[final] ).
cnf(c_0_457,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_317]),
[final] ).
cnf(c_0_458,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_317]),
[final] ).
cnf(c_0_459,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_342]),
[final] ).
cnf(c_0_460,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_318]),
[final] ).
cnf(c_0_461,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_343]),
[final] ).
cnf(c_0_462,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_320]),
[final] ).
cnf(c_0_463,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_343]),
[final] ).
cnf(c_0_464,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_343]),
[final] ).
cnf(c_0_465,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_343]),
[final] ).
cnf(c_0_466,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_320]),
[final] ).
cnf(c_0_467,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_320]),
[final] ).
cnf(c_0_468,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_320]),
[final] ).
cnf(c_0_469,negated_conjecture,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_265]),
[final] ).
cnf(c_0_470,negated_conjecture,
( ~ product(e_2,X1,e_4)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_265]),
[final] ).
cnf(c_0_471,negated_conjecture,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_265]),
[final] ).
cnf(c_0_472,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_344]),
[final] ).
cnf(c_0_473,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_344]),
[final] ).
cnf(c_0_474,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_344]),
[final] ).
cnf(c_0_475,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_344]),
[final] ).
cnf(c_0_476,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_345]),
[final] ).
cnf(c_0_477,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_322]),
[final] ).
cnf(c_0_478,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_301]),
[final] ).
cnf(c_0_479,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_345]),
[final] ).
cnf(c_0_480,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_345]),
[final] ).
cnf(c_0_481,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_345]),
[final] ).
cnf(c_0_482,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_322]),
[final] ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_322]),
[final] ).
cnf(c_0_484,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_322]),
[final] ).
cnf(c_0_485,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_301]),
[final] ).
cnf(c_0_486,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_301]),
[final] ).
cnf(c_0_487,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_301]),
[final] ).
cnf(c_0_488,negated_conjecture,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_256]),
[final] ).
cnf(c_0_489,negated_conjecture,
( ~ product(e_2,X1,e_4)
| equalish(X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_256]),
[final] ).
cnf(c_0_490,negated_conjecture,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_256]),
[final] ).
cnf(c_0_491,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_240]),
[final] ).
cnf(c_0_492,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_227]),
[final] ).
cnf(c_0_493,negated_conjecture,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_251]),
[final] ).
cnf(c_0_494,negated_conjecture,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_251]),
[final] ).
cnf(c_0_495,negated_conjecture,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_251]),
[final] ).
cnf(c_0_496,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_175]),
[final] ).
cnf(c_0_497,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_175]),
[final] ).
cnf(c_0_498,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_175]),
[final] ).
cnf(c_0_499,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_342]),
[final] ).
cnf(c_0_500,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_342]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_342]),
[final] ).
cnf(c_0_502,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_4)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_318]),
[final] ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_318]),
[final] ).
cnf(c_0_504,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_3)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_318]),
[final] ).
cnf(c_0_505,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_280]),
[final] ).
cnf(c_0_506,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_280]),
[final] ).
cnf(c_0_507,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_280]),
[final] ).
cnf(c_0_508,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_280]),
[final] ).
cnf(c_0_509,negated_conjecture,
( ~ product(X1,e_4,e_2)
| equalish(X1,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_240]),
[final] ).
cnf(c_0_510,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_240]),
[final] ).
cnf(c_0_511,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_227]),
[final] ).
cnf(c_0_512,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_227]),
[final] ).
cnf(c_0_513,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_227]),
[final] ).
cnf(c_0_514,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_154]),
[final] ).
cnf(c_0_515,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_154]),
[final] ).
cnf(c_0_516,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_154]),
[final] ).
cnf(c_0_517,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_154]),
[final] ).
cnf(c_0_518,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_141]),
[final] ).
cnf(c_0_519,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_141]),
[final] ).
cnf(c_0_520,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_346]),
[final] ).
cnf(c_0_521,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_324]),
[final] ).
cnf(c_0_522,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_346]),
[final] ).
cnf(c_0_523,negated_conjecture,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_346]),
[final] ).
cnf(c_0_524,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_346]),
[final] ).
cnf(c_0_525,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_324]),
[final] ).
cnf(c_0_526,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_347]),
[final] ).
cnf(c_0_527,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_324]),
[final] ).
cnf(c_0_528,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_324]),
[final] ).
cnf(c_0_529,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_347]),
[final] ).
cnf(c_0_530,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_347]),
[final] ).
cnf(c_0_531,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_347]),
[final] ).
cnf(c_0_532,negated_conjecture,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_257]),
[final] ).
cnf(c_0_533,negated_conjecture,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_257]),
[final] ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_2,e_1,X1)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_257]),
[final] ).
cnf(c_0_535,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_111]),
[final] ).
cnf(c_0_536,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_222]),
[final] ).
cnf(c_0_537,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_348]),
[final] ).
cnf(c_0_538,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_222]),
[final] ).
cnf(c_0_539,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_222]),
[final] ).
cnf(c_0_540,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_348]),
[final] ).
cnf(c_0_541,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_348]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_348]),
[final] ).
cnf(c_0_543,negated_conjecture,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_201]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_201]),
[final] ).
cnf(c_0_545,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_115]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_115]),
[final] ).
cnf(c_0_547,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_115]),
[final] ).
cnf(c_0_548,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_111]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_111]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_111]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_64]),
[final] ).
cnf(c_0_552,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_164]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_164]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_164]),
[final] ).
cnf(c_0_555,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_164]),
[final] ).
cnf(c_0_556,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_229]),
[final] ).
cnf(c_0_557,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_349]),
[final] ).
cnf(c_0_558,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_229]),
[final] ).
cnf(c_0_559,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_229]),
[final] ).
cnf(c_0_560,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_349]),
[final] ).
cnf(c_0_561,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_349]),
[final] ).
cnf(c_0_562,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_349]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_205]),
[final] ).
cnf(c_0_564,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_205]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_137]),
[final] ).
cnf(c_0_566,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_137]),
[final] ).
cnf(c_0_567,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_137]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_137]),
[final] ).
cnf(c_0_569,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_350]),
[final] ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_327]),
[final] ).
cnf(c_0_571,negated_conjecture,
( ~ product(X1,e_3,e_4)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_350]),
[final] ).
cnf(c_0_572,negated_conjecture,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_350]),
[final] ).
cnf(c_0_573,negated_conjecture,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_350]),
[final] ).
cnf(c_0_574,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_327]),
[final] ).
cnf(c_0_575,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_327]),
[final] ).
cnf(c_0_576,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_327]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_167]),
[final] ).
cnf(c_0_578,negated_conjecture,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_167]),
[final] ).
cnf(c_0_579,negated_conjecture,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_167]),
[final] ).
cnf(c_0_580,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_167]),
[final] ).
cnf(c_0_581,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_351]),
[final] ).
cnf(c_0_582,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_258]),
[final] ).
cnf(c_0_583,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_258]),
[final] ).
cnf(c_0_584,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_258]),
[final] ).
cnf(c_0_585,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_232]),
[final] ).
cnf(c_0_586,negated_conjecture,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_351]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(e_4,X1,e_3)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_351]),
[final] ).
cnf(c_0_588,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_351]),
[final] ).
cnf(c_0_589,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_232]),
[final] ).
cnf(c_0_590,negated_conjecture,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_232]),
[final] ).
cnf(c_0_591,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_232]),
[final] ).
cnf(c_0_592,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_213]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_213]),
[final] ).
cnf(c_0_594,negated_conjecture,
( ~ product(X1,e_3,e_2)
| equalish(X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_204]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_204]),
[final] ).
cnf(c_0_596,negated_conjecture,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_204]),
[final] ).
cnf(c_0_597,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_113]),
[final] ).
cnf(c_0_598,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_113]),
[final] ).
cnf(c_0_599,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_140]),
[final] ).
cnf(c_0_600,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_140]),
[final] ).
cnf(c_0_601,negated_conjecture,
( ~ product(e_3,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_140]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_140]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_238]),
[final] ).
cnf(c_0_604,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_238]),
[final] ).
cnf(c_0_605,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_238]),
[final] ).
cnf(c_0_606,negated_conjecture,
( ~ product(X1,e_4,e_3)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_225]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ product(e_2,X1,e_3)
| equalish(X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_225]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_225]),
[final] ).
cnf(c_0_609,negated_conjecture,
( ~ product(X1,e_3,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_186]),
[final] ).
cnf(c_0_610,negated_conjecture,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_186]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ product(e_2,e_3,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_186]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_3,X1,e_2)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_120]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_120]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_180]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product(X1,e_2,e_1)
| equalish(X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_180]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_180]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_180]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_101]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_101]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_352]),
[final] ).
cnf(c_0_621,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_84]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_352]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_352]),
[final] ).
cnf(c_0_624,negated_conjecture,
( ~ product(X1,e_2,e_4)
| equalish(X1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_84]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_3,X1,e_4)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_84]),
[final] ).
cnf(c_0_626,negated_conjecture,
( ~ product(e_3,e_2,X1)
| equalish(X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_84]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_352]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product(X1,e_4,e_1)
| equalish(X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_109]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product(e_2,X1,e_1)
| equalish(X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_109]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product(e_2,e_4,X1)
| equalish(X1,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_109]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_78]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_78]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_353]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(X1,e_2,e_3)
| equalish(X1,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_353]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ product(e_1,X1,e_3)
| equalish(X1,e_2)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_353]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_3)
| product(e_3,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_353]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_131]),
[final] ).
cnf(c_0_638,plain,
( ~ product(e_4,X1,e_1)
| equalish(X1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_131]),
[final] ).
cnf(c_0_639,plain,
( ~ product(e_4,e_2,X1)
| equalish(X1,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_131]),
[final] ).
cnf(c_0_640,plain,
( ~ product(e_4,e_3,X1)
| equalish(X1,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_156]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_354]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product(X1,e_1,e_2)
| equalish(X1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_35,c_0_354]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_4,X1,e_2)
| equalish(X1,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_354]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_354]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_73]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_215]),
[final] ).
cnf(c_0_647,plain,
( ~ product(X1,e_1,e_4)
| equalish(X1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_54]),
[final] ).
cnf(c_0_648,plain,
( ~ product(e_3,e_1,X1)
| equalish(X1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_54]),
[final] ).
cnf(c_0_649,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_295]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_3,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_295]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_1,X1,e_2)
| equalish(X1,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_61]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_61]),
[final] ).
cnf(c_0_653,plain,
( ~ product(X1,e_1,e_3)
| equalish(X1,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_57]),
[final] ).
cnf(c_0_654,plain,
( ~ product(e_4,e_1,X1)
| equalish(X1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_57]),
[final] ).
cnf(c_0_655,plain,
( ~ product(e_3,e_4,X1)
| equalish(X1,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_95]),
[final] ).
cnf(c_0_656,plain,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_215]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_80]),
[final] ).
cnf(c_0_658,plain,
( ~ product(e_1,X1,e_4)
| equalish(X1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_80]),
[final] ).
cnf(c_0_659,plain,
( ~ product(e_1,e_2,X1)
| equalish(X1,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_80]),
[final] ).
cnf(c_0_660,plain,
( ~ product(X1,e_3,e_4)
| equalish(X1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_49]),
[final] ).
cnf(c_0_661,plain,
( ~ product(e_1,e_3,X1)
| equalish(X1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_49]),
[final] ).
cnf(c_0_662,plain,
( ~ product(e_1,e_4,X1)
| equalish(X1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_51]),
[final] ).
cnf(c_0_663,plain,
~ equalish(e_3,e_2),
c_0_355,
[final] ).
cnf(c_0_664,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_68,c_0_29]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP125-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:02:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 1.09/0.65 % Version: 3.5.1
% 1.09/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.09/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.09/0.65 % Starting new_bool_3 with 300s (1) cores
% 1.09/0.65 % Starting new_bool_1 with 300s (1) cores
% 1.09/0.65 % Starting sh5l with 300s (1) cores
% 1.09/0.65 % new_bool_3 with pid 3803608 completed with status 1
% 1.09/0.65 % Result found by new_bool_3
% 1.09/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.09/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.09/0.65 % Starting new_bool_3 with 300s (1) cores
% 1.09/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.09/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.09/0.65 % Search class: FGUNF-FFSS00-SFFFFFNN
% 1.09/0.65 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.65 % Starting SubtermCWHack with 31s (1) cores
% 1.09/0.65 % SubtermCWHack with pid 3803613 completed with status 1
% 1.09/0.65 % Result found by SubtermCWHack
% 1.09/0.65 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.09/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.65 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.09/0.65 % Starting new_bool_3 with 300s (1) cores
% 1.09/0.65 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.09/0.65 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.09/0.65 % Search class: FGUNF-FFSS00-SFFFFFNN
% 1.09/0.65 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.09/0.65 % Starting SubtermCWHack with 31s (1) cores
% 1.09/0.65 % Preprocessing time : 0.001 s
% 1.09/0.65
% 1.09/0.65 % No proof found!
% 1.09/0.65 % SZS status Satisfiable
% 1.09/0.65 % SZS output start Saturation
% See solution above
% 1.09/0.66 % Parsed axioms : 22
% 1.09/0.66 % Removed by relevancy pruning/SinE : 0
% 1.09/0.66 % Initial clauses : 22
% 1.09/0.66 % Removed in clause preprocessing : 0
% 1.09/0.66 % Initial clauses in saturation : 22
% 1.09/0.66 % Processed clauses : 4041
% 1.09/0.66 % ...of these trivial : 0
% 1.09/0.66 % ...subsumed : 3028
% 1.09/0.66 % ...remaining for further processing : 1013
% 1.09/0.66 % Other redundant clauses eliminated : 0
% 1.09/0.66 % Clauses deleted for lack of memory : 0
% 1.09/0.66 % Backward-subsumed : 512
% 1.09/0.66 % Backward-rewritten : 0
% 1.09/0.66 % Generated clauses : 11768
% 1.09/0.66 % ...of the previous two non-redundant : 7372
% 1.09/0.66 % ...aggressively subsumed : 0
% 1.09/0.66 % Contextual simplify-reflections : 3
% 1.09/0.66 % Paramodulations : 11768
% 1.09/0.66 % Factorizations : 0
% 1.09/0.66 % NegExts : 0
% 1.09/0.66 % Equation resolutions : 0
% 1.09/0.66 % Disequality decompositions : 0
% 1.09/0.66 % Total rewrite steps : 4396
% 1.09/0.66 % ...of those cached : 4386
% 1.09/0.66 % Propositional unsat checks : 0
% 1.09/0.66 % Propositional check models : 0
% 1.09/0.66 % Propositional check unsatisfiable : 0
% 1.09/0.66 % Propositional clauses : 0
% 1.09/0.66 % Propositional clauses after purity: 0
% 1.09/0.66 % Propositional unsat core size : 0
% 1.09/0.66 % Propositional preprocessing time : 0.000
% 1.09/0.66 % Propositional encoding time : 0.000
% 1.09/0.66 % Propositional solver time : 0.000
% 1.09/0.66 % Success case prop preproc time : 0.000
% 1.09/0.66 % Success case prop encoding time : 0.000
% 1.09/0.66 % Success case prop solver time : 0.000
% 1.09/0.66 % Current number of processed clauses : 501
% 1.09/0.66 % Positive orientable unit clauses : 6
% 1.09/0.66 % Positive unorientable unit clauses: 0
% 1.09/0.66 % Negative unit clauses : 12
% 1.09/0.66 % Non-unit-clauses : 483
% 1.09/0.66 % Current number of unprocessed clauses: 0
% 1.09/0.66 % ...number of literals in the above : 0
% 1.09/0.66 % Current number of archived formulas : 0
% 1.09/0.66 % Current number of archived clauses : 512
% 1.09/0.66 % Clause-clause subsumption calls (NU) : 163567
% 1.09/0.66 % Rec. Clause-clause subsumption calls : 33900
% 1.09/0.66 % Non-unit clause-clause subsumptions : 3543
% 1.09/0.66 % Unit Clause-clause subsumption calls : 8
% 1.09/0.66 % Rewrite failures with RHS unbound : 0
% 1.09/0.66 % BW rewrite match attempts : 13
% 1.09/0.66 % BW rewrite match successes : 0
% 1.09/0.66 % Condensation attempts : 0
% 1.09/0.66 % Condensation successes : 0
% 1.09/0.66 % Termbank termtop insertions : 186040
% 1.09/0.66 % Search garbage collected termcells : 48
% 1.09/0.66
% 1.09/0.66 % -------------------------------------------------
% 1.09/0.66 % User time : 0.220 s
% 1.09/0.66 % System time : 0.002 s
% 1.09/0.66 % Total time : 0.221 s
% 1.09/0.66 % Maximum resident set size: 3640 pages
% 1.09/0.66
% 1.09/0.66 % -------------------------------------------------
% 1.09/0.66 % User time : 0.221 s
% 1.09/0.66 % System time : 0.007 s
% 1.09/0.66 % Total time : 0.228 s
% 1.09/0.66 % Maximum resident set size: 4864 pages
% 1.09/0.66 % E exiting
%------------------------------------------------------------------------------