%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP123-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:37:57 PM UTC 2026
% Result : Satisfiable 4.46s 1.09s
% Output : Saturation 4.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_25ERROR: Could not build tree for root c_0_32ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_27,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_25,
[final] ).
cnf(c_0_28,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_30,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_26,
[final] ).
cnf(c_0_31,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_32,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_27,c_0_28]),
[final] ).
cnf(c_0_33,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_36,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_29,
[final] ).
cnf(c_0_37,plain,
( ~ product(X1,X2,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]),
[final] ).
cnf(c_0_39,plain,
~ equalish(e_4,e_1),
c_0_34,
[final] ).
cnf(c_0_41,negated_conjecture,
( ~ product(X6,X5,X4)
| ~ product(X6,X2,X1)
| ~ product(X4,X5,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X5) ),
c_0_35,
[final] ).
cnf(c_0_42,plain,
( ~ product(X2,X1,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]),
[final] ).
cnf(c_0_44,plain,
~ equalish(e_1,e_4),
c_0_40,
[final] ).
cnf(c_0_45,negated_conjecture,
( ~ product(X3,X1,X4)
| ~ product(X2,X2,X4)
| ~ product(X2,X1,X3)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]),
[final] ).
cnf(c_0_46,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_42,c_0_43]),c_0_44]),
[final] ).
cnf(c_0_48,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44]),
[final] ).
cnf(c_0_49,plain,
~ equalish(e_3,e_4),
c_0_47,
[final] ).
cnf(c_0_50,plain,
( ~ product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_46]),
[final] ).
cnf(c_0_52,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_31]),
[final] ).
cnf(c_0_53,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_56,plain,
~ equalish(e_2,e_4),
c_0_51,
[final] ).
cnf(c_0_57,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_52]),
[final] ).
cnf(c_0_59,plain,
~ equalish(e_3,e_1),
c_0_54,
[final] ).
cnf(c_0_64,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_27,c_0_33]),
[final] ).
cnf(c_0_65,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_71,plain,
~ equalish(e_2,e_1),
c_0_66,
[final] ).
cnf(c_0_72,plain,
~ equalish(e_2,e_3),
c_0_67,
[final] ).
cnf(c_0_76,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_72,c_0_73]),
[final] ).
cnf(c_0_77,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_37,c_0_74]),c_0_44]),
[final] ).
cnf(c_0_78,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_75,c_0_76]),
[final] ).
cnf(c_0_79,plain,
( ~ product(X1,e_4,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_77]),
[final] ).
cnf(c_0_80,plain,
( ~ product(e_2,X1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_78]),
[final] ).
cnf(c_0_84,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_77]),c_0_39]),
[final] ).
cnf(c_0_87,plain,
~ equalish(e_4,e_2),
c_0_82,
[final] ).
cnf(c_0_89,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_31]),
[final] ).
cnf(c_0_93,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_89]),
[final] ).
cnf(c_0_101,plain,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_95]),c_0_49]),
[final] ).
cnf(c_0_102,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_52]),c_0_44]),
[final] ).
cnf(c_0_105,plain,
~ equalish(e_1,e_2),
c_0_96,
[final] ).
cnf(c_0_106,plain,
~ equalish(e_3,e_2),
c_0_97,
[final] ).
cnf(c_0_109,plain,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_101]),
[final] ).
cnf(c_0_110,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_31]),
[final] ).
cnf(c_0_112,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,e_4,X2)
| product(X1,e_3,X2)
| product(X1,e_2,X2)
| product(X1,e_1,X2) ),
c_0_104,
[final] ).
cnf(c_0_117,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_109]),
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_62]),c_0_111]),
[final] ).
cnf(c_0_119,plain,
( ~ group_element(X1)
| product(X1,e_4,e_4)
| product(X1,e_3,e_4)
| product(X1,e_2,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_33]),
[final] ).
cnf(c_0_120,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_62]),c_0_114]),c_0_115]),
[final] ).
cnf(c_0_122,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_27,c_0_53]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]),
[final] ).
cnf(c_0_126,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_72,c_0_121]),
[final] ).
cnf(c_0_134,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_37,c_0_131]),c_0_56]),
[final] ).
cnf(c_0_137,plain,
~ equalish(e_1,e_3),
c_0_133,
[final] ).
cnf(c_0_138,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_123,c_0_78]),
[final] ).
cnf(c_0_140,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_134]),
[final] ).
cnf(c_0_142,plain,
( ~ product(e_1,X1,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_77]),
[final] ).
cnf(c_0_143,plain,
( ~ product(e_1,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_136]),c_0_137]),
[final] ).
cnf(c_0_144,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_27,c_0_65]),
[final] ).
cnf(c_0_145,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_138]),
[final] ).
cnf(c_0_147,plain,
( ~ product(e_2,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_79]),
[final] ).
cnf(c_0_148,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_140]),
[final] ).
cnf(c_0_149,plain,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_141]),c_0_137]),
[final] ).
cnf(c_0_150,plain,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_80]),
[final] ).
cnf(c_0_151,plain,
( ~ product(e_1,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_142]),
[final] ).
cnf(c_0_152,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_1,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_143]),
[final] ).
cnf(c_0_156,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_147]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_148,c_0_77]),
[final] ).
cnf(c_0_160,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_149]),
[final] ).
cnf(c_0_161,plain,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_150]),
[final] ).
cnf(c_0_162,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_151]),
[final] ).
cnf(c_0_167,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_156]),
[final] ).
cnf(c_0_170,plain,
~ equalish(e_4,e_3),
c_0_158,
[final] ).
cnf(c_0_171,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_1,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_143]),
[final] ).
cnf(c_0_172,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_159]),
[final] ).
cnf(c_0_174,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_161]),
[final] ).
cnf(c_0_175,plain,
( ~ product(X1,e_1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_78]),
[final] ).
cnf(c_0_176,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_78]),c_0_105]),
[final] ).
cnf(c_0_177,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_162]),
[final] ).
cnf(c_0_182,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_167,c_0_149]),
[final] ).
cnf(c_0_185,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]),
[final] ).
cnf(c_0_186,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_172]),c_0_173]),
[final] ).
cnf(c_0_187,plain,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_174,c_0_46]),
[final] ).
cnf(c_0_188,plain,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_175]),
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_151]),c_0_39]),
[final] ).
cnf(c_0_195,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_3,e_1)
| product(X1,e_2,e_1)
| product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_112,c_0_28]),
[final] ).
cnf(c_0_197,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_49,c_0_181]),
[final] ).
cnf(c_0_202,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_185,c_0_159]),
[final] ).
cnf(c_0_203,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_164,c_0_186]),
[final] ).
cnf(c_0_204,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_187]),
[final] ).
cnf(c_0_205,plain,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_62]),c_0_189]),
[final] ).
cnf(c_0_211,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_193,c_0_31]),
[final] ).
cnf(c_0_216,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(e_4,X1,X2)
| product(e_3,X1,X2)
| product(e_2,X1,X2)
| product(e_1,X1,X2) ),
c_0_201,
[final] ).
cnf(c_0_218,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]),
[final] ).
cnf(c_0_220,plain,
( ~ product(X1,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_205]),
[final] ).
cnf(c_0_221,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_206,
[final] ).
cnf(c_0_226,plain,
~ product(e_2,e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_214]),c_0_106]),
[final] ).
cnf(c_0_228,plain,
( ~ group_element(X1)
| product(e_4,X1,e_2)
| product(e_3,X1,e_2)
| product(e_2,X1,e_2)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_216,c_0_65]),
[final] ).
cnf(c_0_229,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),
[final] ).
cnf(c_0_230,plain,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_220]),
[final] ).
cnf(c_0_231,plain,
( ~ product(e_1,e_4,X1)
| ~ product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_151]),
[final] ).
cnf(c_0_233,plain,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_223]),c_0_170]),
[final] ).
cnf(c_0_235,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_225,c_0_226]),
[final] ).
cnf(c_0_236,plain,
( ~ product(e_2,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_50]),
[final] ).
cnf(c_0_239,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_33]),c_0_126]),c_0_229]),
[final] ).
cnf(c_0_241,plain,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_203]),
[final] ).
cnf(c_0_243,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_232]),c_0_170]),
[final] ).
cnf(c_0_244,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_233]),
[final] ).
cnf(c_0_246,plain,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_236]),
[final] ).
cnf(c_0_248,plain,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_185,c_0_239]),
[final] ).
cnf(c_0_250,plain,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_236]),
[final] ).
cnf(c_0_251,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_151]),
[final] ).
cnf(c_0_253,plain,
~ product(e_1,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_241]),c_0_242]),
[final] ).
cnf(c_0_254,plain,
( ~ product(e_1,X1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_239]),
[final] ).
cnf(c_0_256,plain,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_244]),c_0_245]),
[final] ).
cnf(c_0_258,plain,
( ~ product(e_3,e_2,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_247]),c_0_49]),
[final] ).
cnf(c_0_259,plain,
( product(e_3,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_203]),
[final] ).
cnf(c_0_261,plain,
( ~ group_element(X1)
| product(X1,e_4,e_3)
| product(X1,e_3,e_3)
| product(X1,e_2,e_3)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_112,c_0_53]),
[final] ).
cnf(c_0_262,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_71,c_0_249]),
[final] ).
cnf(c_0_264,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_251]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_203]),c_0_71]),
[final] ).
cnf(c_0_266,plain,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_149]),
[final] ).
cnf(c_0_267,plain,
( ~ product(X2,X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_221,c_0_31]),
[final] ).
cnf(c_0_269,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_52]),
[final] ).
cnf(c_0_270,plain,
( ~ product(e_1,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_254]),
[final] ).
cnf(c_0_271,plain,
( product(e_4,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_255,c_0_256]),
[final] ).
cnf(c_0_272,plain,
( ~ group_element(X1)
| product(e_4,X1,e_4)
| product(e_3,X1,e_4)
| product(e_2,X1,e_4)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_216,c_0_33]),
[final] ).
cnf(c_0_273,plain,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_175]),c_0_257]),
[final] ).
cnf(c_0_274,plain,
( ~ product(e_3,X1,e_2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_258]),
[final] ).
cnf(c_0_275,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_118]),
[final] ).
cnf(c_0_276,plain,
( ~ product(X1,e_2,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_259]),
[final] ).
cnf(c_0_278,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_65]),c_0_262]),c_0_197]),
[final] ).
cnf(c_0_280,plain,
~ product(e_1,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_220]),c_0_263]),
[final] ).
cnf(c_0_282,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_265,c_0_31]),
[final] ).
cnf(c_0_283,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_266]),
[final] ).
cnf(c_0_284,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_39]),
[final] ).
cnf(c_0_285,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_59,c_0_269]),
[final] ).
cnf(c_0_286,plain,
( product(e_3,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]),
[final] ).
cnf(c_0_288,plain,
( ~ product(X1,e_2,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_203]),
[final] ).
cnf(c_0_289,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_274]),
[final] ).
cnf(c_0_290,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_275]),
[final] ).
cnf(c_0_293,plain,
( ~ product(X1,e_1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_278]),
[final] ).
cnf(c_0_295,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_28]),c_0_280]),c_0_76]),
[final] ).
cnf(c_0_298,plain,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]),
[final] ).
cnf(c_0_299,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_218]),
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_143]),c_0_59]),
[final] ).
cnf(c_0_301,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_286]),
[final] ).
cnf(c_0_302,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_287]),c_0_39]),
[final] ).
cnf(c_0_304,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_289,c_0_118]),
[final] ).
cnf(c_0_310,plain,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_293]),
[final] ).
cnf(c_0_311,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_167,c_0_143]),
[final] ).
cnf(c_0_314,plain,
( ~ product(e_4,X1,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_295]),
[final] ).
cnf(c_0_316,plain,
( ~ group_element(X1)
| product(e_4,X1,e_1)
| product(e_3,X1,e_1)
| product(e_2,X1,e_1)
| product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_216,c_0_28]),
[final] ).
cnf(c_0_317,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_298]),
[final] ).
cnf(c_0_319,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_300,c_0_31]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]),
[final] ).
cnf(c_0_322,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_307]),
[final] ).
cnf(c_0_323,plain,
( ~ group_element(X1)
| product(e_4,X1,e_3)
| product(e_3,X1,e_3)
| product(e_2,X1,e_3)
| product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_216,c_0_53]),
[final] ).
cnf(c_0_324,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_140]),c_0_308]),
[final] ).
cnf(c_0_325,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_140]),c_0_309]),
[final] ).
cnf(c_0_327,plain,
( product(e_2,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_310,c_0_46]),
[final] ).
cnf(c_0_328,plain,
( ~ product(e_3,X1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_302]),
[final] ).
cnf(c_0_329,plain,
( ~ product(e_2,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_164]),c_0_312]),
[final] ).
cnf(c_0_332,plain,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_314]),
[final] ).
cnf(c_0_333,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_315]),c_0_170]),
[final] ).
cnf(c_0_335,plain,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_317]),c_0_318]),
[final] ).
cnf(c_0_337,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_320]),
[final] ).
cnf(c_0_339,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_322]),
[final] ).
cnf(c_0_340,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_33]),c_0_324]),c_0_325]),
[final] ).
cnf(c_0_341,plain,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_147]),
[final] ).
cnf(c_0_342,negated_conjecture,
( ~ product(X6,X5,X4)
| ~ product(X6,X2,X1)
| ~ product(X4,X5,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_326,
[final] ).
cnf(c_0_343,plain,
( ~ group_element(X1)
| product(X1,e_4,e_2)
| product(X1,e_3,e_2)
| product(X1,e_2,e_2)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_65]),
[final] ).
cnf(c_0_344,plain,
( ~ product(e_2,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_167,c_0_271]),
[final] ).
cnf(c_0_345,plain,
( ~ product(e_4,X1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_327]),
[final] ).
cnf(c_0_346,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_322]),
[final] ).
cnf(c_0_348,plain,
( ~ product(e_1,X1,e_3)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_329]),
[final] ).
cnf(c_0_351,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_152]),
[final] ).
cnf(c_0_352,plain,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_333]),
[final] ).
cnf(c_0_353,plain,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_334,c_0_335]),c_0_226]),
[final] ).
cnf(c_0_355,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_89]),
[final] ).
cnf(c_0_356,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_137,c_0_337]),
[final] ).
cnf(c_0_359,plain,
( ~ product(e_1,e_4,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_340]),
[final] ).
cnf(c_0_363,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_344]),
[final] ).
cnf(c_0_365,plain,
( ~ product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_235]),
[final] ).
cnf(c_0_367,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_346]),c_0_347]),
[final] ).
cnf(c_0_373,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_353]),
[final] ).
cnf(c_0_374,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_354]),c_0_105]),
[final] ).
cnf(c_0_375,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_355]),
[final] ).
cnf(c_0_377,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358]),
[final] ).
cnf(c_0_379,plain,
~ product(e_1,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_359]),c_0_360]),
[final] ).
cnf(c_0_382,plain,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_363]),c_0_364]),
[final] ).
cnf(c_0_383,plain,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_365]),
[final] ).
cnf(c_0_384,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_366,c_0_367]),
[final] ).
cnf(c_0_385,plain,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_284]),
[final] ).
cnf(c_0_386,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_28]),c_0_280]),c_0_186]),
[final] ).
cnf(c_0_387,plain,
~ product(e_1,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_293]),c_0_368]),
[final] ).
cnf(c_0_391,plain,
( ~ product(X1,e_1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_373]),
[final] ).
cnf(c_0_394,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_143]),
[final] ).
cnf(c_0_395,plain,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_376,c_0_377]),
[final] ).
cnf(c_0_398,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_381,c_0_382]),
[final] ).
cnf(c_0_399,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]),
[final] ).
cnf(c_0_401,plain,
( ~ product(e_1,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_385]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_386]),
[final] ).
cnf(c_0_403,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_28]),c_0_387]),c_0_189]),
[final] ).
cnf(c_0_407,plain,
( ~ product(e_4,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_391]),
[final] ).
cnf(c_0_408,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_218]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_393]),c_0_56]),
[final] ).
cnf(c_0_412,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]),
[final] ).
cnf(c_0_413,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_396]),c_0_44]),
[final] ).
cnf(c_0_415,plain,
( ~ product(X1,e_1,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_398]),
[final] ).
cnf(c_0_416,plain,
( ~ product(X1,e_4,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_399]),
[final] ).
cnf(c_0_417,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_236]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_401,c_0_402]),
[final] ).
cnf(c_0_420,plain,
( ~ product(e_4,e_1,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_403]),
[final] ).
cnf(c_0_422,plain,
( ~ product(e_4,X1,e_3)
| product(e_4,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_46]),
[final] ).
cnf(c_0_423,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_53]),c_0_404]),c_0_405]),
[final] ).
cnf(c_0_425,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_407,c_0_398]),
[final] ).
cnf(c_0_426,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_408]),c_0_409]),
[final] ).
cnf(c_0_427,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_410]),c_0_137]),
[final] ).
cnf(c_0_428,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_411]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_412,c_0_413]),
[final] ).
cnf(c_0_431,plain,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_415]),
[final] ).
cnf(c_0_432,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_258]),
[final] ).
cnf(c_0_434,plain,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_416]),
[final] ).
cnf(c_0_435,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_417]),
[final] ).
cnf(c_0_436,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_101]),
[final] ).
cnf(c_0_437,plain,
( ~ product(e_1,e_4,X1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_386]),
[final] ).
cnf(c_0_438,plain,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_288]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_31])]),c_0_382]),c_0_377]),
[final] ).
cnf(c_0_441,plain,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_420]),c_0_421]),
[final] ).
cnf(c_0_443,plain,
( ~ product(e_3,X1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_205]),
[final] ).
cnf(c_0_444,plain,
( ~ product(e_1,e_3,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_423]),
[final] ).
cnf(c_0_447,plain,
( ~ product(X1,e_3,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_425]),
[final] ).
cnf(c_0_448,plain,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_241]),
[final] ).
cnf(c_0_449,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_130,c_0_426]),
[final] ).
cnf(c_0_450,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_427]),
[final] ).
cnf(c_0_452,plain,
( ~ product(e_2,e_4,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_235]),
[final] ).
cnf(c_0_454,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_411]),
[final] ).
cnf(c_0_455,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_429]),
[final] ).
cnf(c_0_457,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_118]),
[final] ).
cnf(c_0_458,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_431]),
[final] ).
cnf(c_0_459,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_432]),
[final] ).
cnf(c_0_461,plain,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_434,c_0_386]),
[final] ).
cnf(c_0_462,plain,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_435,c_0_286]),
[final] ).
cnf(c_0_463,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_436]),
[final] ).
cnf(c_0_464,plain,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_106,c_0_437]),
[final] ).
cnf(c_0_465,plain,
( ~ product(X1,e_4,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_386]),
[final] ).
cnf(c_0_466,plain,
( ~ product(e_1,X1,e_3)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_438]),
[final] ).
cnf(c_0_467,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_439]),
[final] ).
cnf(c_0_469,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_231]),
[final] ).
cnf(c_0_470,plain,
( ~ product(e_3,e_1,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_302]),
[final] ).
cnf(c_0_472,plain,
( ~ product(e_3,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_443]),
[final] ).
cnf(c_0_474,plain,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_444]),c_0_445]),
[final] ).
cnf(c_0_475,plain,
~ product(e_3,e_3,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_446]),c_0_170]),
[final] ).
cnf(c_0_476,plain,
( ~ product(e_1,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_447]),
[final] ).
cnf(c_0_477,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_448,c_0_449]),
[final] ).
cnf(c_0_478,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_450]),
[final] ).
cnf(c_0_479,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_427]),
[final] ).
cnf(c_0_481,plain,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_452]),c_0_453]),
[final] ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_454]),
[final] ).
cnf(c_0_484,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_455]),
[final] ).
cnf(c_0_487,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_375,c_0_271]),
[final] ).
cnf(c_0_488,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_89]),
[final] ).
cnf(c_0_489,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_458]),
[final] ).
cnf(c_0_490,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_151]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_31]),c_0_31])]),c_0_39]),
[final] ).
cnf(c_0_492,plain,
( ~ product(e_1,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_264,c_0_271]),
[final] ).
cnf(c_0_493,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_401,c_0_461]),
[final] ).
cnf(c_0_494,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_137,c_0_339]),
[final] ).
cnf(c_0_495,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_462]),
[final] ).
cnf(c_0_496,plain,
( ~ product(e_3,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_386]),
[final] ).
cnf(c_0_497,plain,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_463,c_0_386]),
[final] ).
cnf(c_0_498,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_340]),
[final] ).
cnf(c_0_499,plain,
( ~ product(e_3,e_4,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_465]),
[final] ).
cnf(c_0_500,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_466]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_467]),
[final] ).
cnf(c_0_502,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_468]),c_0_44]),
[final] ).
cnf(c_0_503,plain,
( ~ product(e_1,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_340]),
[final] ).
cnf(c_0_504,plain,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_470]),c_0_111]),
[final] ).
cnf(c_0_505,plain,
( ~ product(e_4,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_351,c_0_203]),
[final] ).
cnf(c_0_508,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_472,c_0_399]),
[final] ).
cnf(c_0_509,plain,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_473,c_0_474]),c_0_475]),
[final] ).
cnf(c_0_510,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_476,c_0_477]),
[final] ).
cnf(c_0_511,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_478,c_0_284]),
[final] ).
cnf(c_0_512,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_479]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_78]),c_0_39]),c_0_481]),c_0_403]),
[final] ).
cnf(c_0_514,plain,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_431]),
[final] ).
cnf(c_0_515,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_264,c_0_427]),
[final] ).
cnf(c_0_518,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_483,c_0_77]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_484,c_0_203]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_395]),c_0_31])]),c_0_382]),c_0_377]),
[final] ).
cnf(c_0_523,plain,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_470]),c_0_486]),
[final] ).
cnf(c_0_524,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_285,c_0_487]),
[final] ).
cnf(c_0_525,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_488]),
[final] ).
cnf(c_0_526,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_89]),c_0_39]),
[final] ).
cnf(c_0_527,plain,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_489,c_0_477]),
[final] ).
cnf(c_0_528,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_490,c_0_491]),
[final] ).
cnf(c_0_529,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_491]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_491]),
[final] ).
cnf(c_0_531,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_319,c_0_203]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_493]),c_0_31])]),c_0_382]),c_0_377]),
[final] ).
cnf(c_0_533,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_494,c_0_203]),
[final] ).
cnf(c_0_534,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_137,c_0_495]),
[final] ).
cnf(c_0_535,plain,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_477]),
[final] ).
cnf(c_0_536,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_172]),
[final] ).
cnf(c_0_537,plain,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_496]),
[final] ).
cnf(c_0_538,plain,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_497]),
[final] ).
cnf(c_0_539,plain,
( ~ product(e_1,e_3,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_498]),
[final] ).
cnf(c_0_540,plain,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_499]),
[final] ).
cnf(c_0_541,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_160]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_138]),
[final] ).
cnf(c_0_543,plain,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_500,c_0_77]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_1,X2)
| product(e_4,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_46]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_501,c_0_46]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_502]),c_0_49]),
[final] ).
cnf(c_0_547,plain,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_422]),
[final] ).
cnf(c_0_548,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_429]),
[final] ).
cnf(c_0_550,plain,
( product(e_2,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_503,c_0_259]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_1,X1,e_3)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_282]),
[final] ).
cnf(c_0_552,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_62,c_0_504]),
[final] ).
cnf(c_0_553,plain,
( ~ product(e_1,X1,e_3)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_505]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_285,c_0_233]),
[final] ).
cnf(c_0_555,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_149]),
[final] ).
cnf(c_0_557,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_467]),c_0_507]),
[final] ).
cnf(c_0_558,plain,
( ~ product(X1,e_1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_508]),
[final] ).
cnf(c_0_559,plain,
( ~ product(e_4,e_3,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_509]),
[final] ).
cnf(c_0_561,plain,
( ~ product(e_1,X1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_510]),
[final] ).
cnf(c_0_562,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_484,c_0_511]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_512,c_0_513]),
[final] ).
cnf(c_0_564,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_494,c_0_511]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_512,c_0_239]),
[final] ).
cnf(c_0_566,plain,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_514]),
[final] ).
cnf(c_0_567,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_512,c_0_159]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_517]),
[final] ).
cnf(c_0_569,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_512,c_0_518]),
[final] ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_167,c_0_427]),
[final] ).
cnf(c_0_571,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_519]),
[final] ).
cnf(c_0_573,plain,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_328]),c_0_520]),
[final] ).
cnf(c_0_574,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_521]),
[final] ).
cnf(c_0_575,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_435,c_0_487]),
[final] ).
cnf(c_0_576,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_522,c_0_523]),c_0_475]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_524,c_0_302]),
[final] ).
cnf(c_0_578,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_525,c_0_340]),
[final] ).
cnf(c_0_579,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_526,c_0_31]),
[final] ).
cnf(c_0_580,plain,
( ~ product(e_1,X1,e_3)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_527]),
[final] ).
cnf(c_0_581,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_528]),
[final] ).
cnf(c_0_582,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_529]),
[final] ).
cnf(c_0_583,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_491]),
[final] ).
cnf(c_0_584,plain,
( ~ product(e_1,X1,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_395]),
[final] ).
cnf(c_0_585,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_285,c_0_530]),
[final] ).
cnf(c_0_586,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_264,c_0_149]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_531]),c_0_382]),c_0_377]),c_0_532]),
[final] ).
cnf(c_0_588,negated_conjecture,
( ~ product(e_1,X1,e_3)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_533]),
[final] ).
cnf(c_0_589,plain,
( ~ product(e_2,e_1,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_534,c_0_386]),
[final] ).
cnf(c_0_590,plain,
( ~ product(e_1,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_535]),
[final] ).
cnf(c_0_591,plain,
( ~ product(e_3,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_289,c_0_205]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_536,c_0_271]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_134]),
[final] ).
cnf(c_0_596,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_537]),
[final] ).
cnf(c_0_597,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_538]),
[final] ).
cnf(c_0_598,plain,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_539]),
[final] ).
cnf(c_0_599,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_540]),
[final] ).
cnf(c_0_601,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_542]),
[final] ).
cnf(c_0_602,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_543]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_118]),c_0_545]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_449]),c_0_31])]),
[final] ).
cnf(c_0_605,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_547]),
[final] ).
cnf(c_0_606,plain,
( product(e_1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_401,c_0_271]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_548]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_164]),c_0_549]),
[final] ).
cnf(c_0_609,plain,
( ~ product(e_2,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_344]),
[final] ).
cnf(c_0_610,plain,
( ~ product(e_3,X1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_550]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_551]),
[final] ).
cnf(c_0_612,plain,
( ~ product(e_3,X1,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_552]),
[final] ).
cnf(c_0_613,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_553]),
[final] ).
cnf(c_0_614,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_129,c_0_481]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_554,c_0_302]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_284]),c_0_31])]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_413]),
[final] ).
cnf(c_0_618,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_556,c_0_557]),
[final] ).
cnf(c_0_619,plain,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_558]),
[final] ).
cnf(c_0_620,plain,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_559]),c_0_210]),
[final] ).
cnf(c_0_621,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_560,c_0_387]),c_0_426]),
[final] ).
cnf(c_0_622,plain,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_561]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_562,c_0_502]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_563,c_0_502]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_564,c_0_502]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_565,c_0_502]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_515,c_0_491]),
[final] ).
cnf(c_0_628,plain,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_566,c_0_502]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_567,c_0_502]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_568,c_0_502]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_569,c_0_502]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_375,c_0_427]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_570,c_0_502]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_571]),
[final] ).
cnf(c_0_635,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_572,c_0_573]),c_0_367]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_574]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_575,c_0_576]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_577,c_0_576]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_578,c_0_576]),
[final] ).
cnf(c_0_640,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_383,c_0_576]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_576]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_579,c_0_576]),
[final] ).
cnf(c_0_643,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_580]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_581]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_582]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_583]),
[final] ).
cnf(c_0_647,plain,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_106,c_0_584]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_585]),
[final] ).
cnf(c_0_649,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_503,c_0_491]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_586,c_0_491]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_211,c_0_491]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_236]),c_0_71]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_588]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_202,c_0_395]),
[final] ).
cnf(c_0_655,plain,
( ~ product(e_2,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_311,c_0_395]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_319,c_0_395]),
[final] ).
cnf(c_0_657,plain,
( ~ product(e_2,e_1,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_401,c_0_589]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_590,c_0_513]),
[final] ).
cnf(c_0_659,plain,
( product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_305]),c_0_592]),c_0_593]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_332,c_0_594]),
[final] ).
cnf(c_0_661,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_285,c_0_594]),
[final] ).
cnf(c_0_662,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_285,c_0_344]),
[final] ).
cnf(c_0_663,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_137,c_0_595]),
[final] ).
cnf(c_0_664,plain,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_233]),
[final] ).
cnf(c_0_665,plain,
( ~ product(e_3,e_2,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_596,c_0_284]),
[final] ).
cnf(c_0_666,plain,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_597,c_0_284]),
[final] ).
cnf(c_0_667,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_598,c_0_284]),
[final] ).
cnf(c_0_668,plain,
( ~ product(e_3,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_599,c_0_284]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_600]),c_0_49]),
[final] ).
cnf(c_0_670,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_601,c_0_46]),
[final] ).
cnf(c_0_671,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_602]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_502]),c_0_137]),c_0_604]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_282]),
[final] ).
cnf(c_0_674,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_605]),
[final] ).
cnf(c_0_675,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_484,c_0_606]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_427]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_607,c_0_552]),
[final] ).
cnf(c_0_678,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_608]),c_0_71]),
[final] ).
cnf(c_0_679,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_332,c_0_530]),
[final] ).
cnf(c_0_680,plain,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_609]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_439]),
[final] ).
cnf(c_0_683,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_264,c_0_143]),
[final] ).
cnf(c_0_684,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_395]),
[final] ).
cnf(c_0_685,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_608]),
[final] ).
cnf(c_0_686,plain,
( ~ product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_329]),
[final] ).
cnf(c_0_687,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_398]),
[final] ).
cnf(c_0_689,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_494,c_0_606]),
[final] ).
cnf(c_0_690,plain,
( ~ product(X1,e_1,e_2)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_547]),
[final] ).
cnf(c_0_691,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_282]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_147]),c_0_39]),
[final] ).
cnf(c_0_694,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_149]),
[final] ).
cnf(c_0_695,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_611,c_0_77]),
[final] ).
cnf(c_0_696,plain,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_612]),
[final] ).
cnf(c_0_697,plain,
( ~ product(e_4,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_613,c_0_77]),
[final] ).
cnf(c_0_698,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_147]),
[final] ).
cnf(c_0_700,plain,
( ~ product(X1,e_4,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_614]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_615]),
[final] ).
cnf(c_0_702,plain,
( ~ product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_423]),
[final] ).
cnf(c_0_703,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_616]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_616]),
[final] ).
cnf(c_0_705,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_617]),
[final] ).
cnf(c_0_706,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_617]),
[final] ).
cnf(c_0_707,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_1,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_618]),
[final] ).
cnf(c_0_708,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_1,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_618]),
[final] ).
cnf(c_0_709,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_606]),
[final] ).
cnf(c_0_710,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_606]),
[final] ).
cnf(c_0_711,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_235]),
[final] ).
cnf(c_0_712,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_235]),
[final] ).
cnf(c_0_713,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_615]),
[final] ).
cnf(c_0_714,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_619,c_0_46]),
[final] ).
cnf(c_0_715,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_615]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_511]),
[final] ).
cnf(c_0_717,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_511]),
[final] ).
cnf(c_0_718,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_191,c_0_557]),c_0_620]),
[final] ).
cnf(c_0_719,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_3,X2)
| product(e_1,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_284]),
[final] ).
cnf(c_0_720,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_3,X2)
| product(e_1,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_284]),
[final] ).
cnf(c_0_721,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_4,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_621]),
[final] ).
cnf(c_0_722,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_4,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_621]),
[final] ).
cnf(c_0_723,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_622,c_0_77]),
[final] ).
cnf(c_0_724,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_353]),
[final] ).
cnf(c_0_725,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_353]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_623]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_623]),
[final] ).
cnf(c_0_728,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_624]),
[final] ).
cnf(c_0_729,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_624]),
[final] ).
cnf(c_0_730,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_625]),
[final] ).
cnf(c_0_731,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_625]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_626]),
[final] ).
cnf(c_0_733,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_626]),
[final] ).
cnf(c_0_734,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_627,c_0_502]),
[final] ).
cnf(c_0_735,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_628]),
[final] ).
cnf(c_0_736,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_628]),
[final] ).
cnf(c_0_737,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_629]),
[final] ).
cnf(c_0_738,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_629]),
[final] ).
cnf(c_0_739,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_630]),
[final] ).
cnf(c_0_740,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_630]),
[final] ).
cnf(c_0_741,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_631]),
[final] ).
cnf(c_0_742,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_631]),
[final] ).
cnf(c_0_743,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_632,c_0_502]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_633]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_502]),
[final] ).
cnf(c_0_746,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_502]),
[final] ).
cnf(c_0_747,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_634,c_0_77]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_118]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_577,c_0_413]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_118]),
[final] ).
cnf(c_0_751,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_505]),
[final] ).
cnf(c_0_752,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_505]),
[final] ).
cnf(c_0_753,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_429]),
[final] ).
cnf(c_0_754,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_429]),
[final] ).
cnf(c_0_755,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_411]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_411]),
[final] ).
cnf(c_0_757,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_413]),
[final] ).
cnf(c_0_758,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_413]),
[final] ).
cnf(c_0_759,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_150]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_150]),
[final] ).
cnf(c_0_761,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_635]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_636,c_0_46]),
[final] ).
cnf(c_0_763,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_635]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_637]),
[final] ).
cnf(c_0_765,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_637]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_638]),
[final] ).
cnf(c_0_767,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_638]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_639]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_639]),
[final] ).
cnf(c_0_770,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_412,c_0_576]),
[final] ).
cnf(c_0_771,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_640]),
[final] ).
cnf(c_0_772,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_640]),
[final] ).
cnf(c_0_773,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_641]),
[final] ).
cnf(c_0_774,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_641]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_642]),
[final] ).
cnf(c_0_776,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_642]),
[final] ).
cnf(c_0_777,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_576]),
[final] ).
cnf(c_0_778,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_576]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_509]),
[final] ).
cnf(c_0_780,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_509]),
[final] ).
cnf(c_0_781,plain,
( ~ product(e_3,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_643,c_0_77]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_644,c_0_46]),
[final] ).
cnf(c_0_783,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_645,c_0_46]),
[final] ).
cnf(c_0_784,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_3,X2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_449]),
[final] ).
cnf(c_0_785,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_3,X2)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_449]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_646,c_0_77]),
[final] ).
cnf(c_0_787,plain,
( product(e_3,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_647,c_0_449]),
[final] ).
cnf(c_0_788,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_203]),
[final] ).
cnf(c_0_789,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_203]),
[final] ).
cnf(c_0_790,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_44,c_0_648]),
[final] ).
cnf(c_0_791,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_649]),
[final] ).
cnf(c_0_792,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_649]),
[final] ).
cnf(c_0_793,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_650]),
[final] ).
cnf(c_0_794,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_650]),
[final] ).
cnf(c_0_795,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_651]),
[final] ).
cnf(c_0_796,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_651]),
[final] ).
cnf(c_0_797,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_652]),
[final] ).
cnf(c_0_798,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_652]),
[final] ).
cnf(c_0_799,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_532]),
[final] ).
cnf(c_0_800,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_532]),
[final] ).
cnf(c_0_801,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_493]),
[final] ).
cnf(c_0_802,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_493]),
[final] ).
cnf(c_0_803,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_653,c_0_77]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_521]),
[final] ).
cnf(c_0_805,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_521]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_654]),
[final] ).
cnf(c_0_807,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_654]),
[final] ).
cnf(c_0_808,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_655]),
[final] ).
cnf(c_0_809,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_655]),
[final] ).
cnf(c_0_810,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_656]),
[final] ).
cnf(c_0_811,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_656]),
[final] ).
cnf(c_0_812,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_439]),
[final] ).
cnf(c_0_813,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_439]),
[final] ).
cnf(c_0_814,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_395]),
[final] ).
cnf(c_0_815,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_395]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_419]),
[final] ).
cnf(c_0_817,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_419]),
[final] ).
cnf(c_0_818,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_657]),
[final] ).
cnf(c_0_819,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_657]),
[final] ).
cnf(c_0_820,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_658]),
[final] ).
cnf(c_0_821,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_658]),
[final] ).
cnf(c_0_822,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_236]),
[final] ).
cnf(c_0_823,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_236]),
[final] ).
cnf(c_0_824,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_533]),
[final] ).
cnf(c_0_825,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_533]),
[final] ).
cnf(c_0_826,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_659]),
[final] ).
cnf(c_0_827,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_659]),
[final] ).
cnf(c_0_828,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_660]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_661,c_0_302]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_660]),
[final] ).
cnf(c_0_831,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_609]),
[final] ).
cnf(c_0_832,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_662,c_0_302]),
[final] ).
cnf(c_0_833,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_609]),
[final] ).
cnf(c_0_834,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_594]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_663,c_0_235]),
[final] ).
cnf(c_0_837,plain,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_72,c_0_359]),
[final] ).
cnf(c_0_838,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_594]),
[final] ).
cnf(c_0_839,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_322]),
[final] ).
cnf(c_0_840,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_322]),
[final] ).
cnf(c_0_841,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_664]),
[final] ).
cnf(c_0_842,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_664]),
[final] ).
cnf(c_0_844,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_665]),
[final] ).
cnf(c_0_845,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_665]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_666]),
[final] ).
cnf(c_0_847,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_666]),
[final] ).
cnf(c_0_848,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_667]),
[final] ).
cnf(c_0_849,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_667]),
[final] ).
cnf(c_0_850,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_668]),
[final] ).
cnf(c_0_851,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_668]),
[final] ).
cnf(c_0_852,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_298]),
[final] ).
cnf(c_0_853,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_2,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_298]),
[final] ).
cnf(c_0_854,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_1,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_552]),
[final] ).
cnf(c_0_855,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_1,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_552]),
[final] ).
cnf(c_0_856,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_550]),
[final] ).
cnf(c_0_857,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_550]),
[final] ).
cnf(c_0_858,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_403]),
[final] ).
cnf(c_0_859,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_403]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_669]),
[final] ).
cnf(c_0_861,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_669]),
[final] ).
cnf(c_0_862,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_4,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_340]),
[final] ).
cnf(c_0_863,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_4,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_340]),
[final] ).
cnf(c_0_864,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_4,e_1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_302]),
[final] ).
cnf(c_0_865,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_4,e_1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_302]),
[final] ).
cnf(c_0_866,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_4,e_3,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_423]),
[final] ).
cnf(c_0_867,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_4,e_3,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_423]),
[final] ).
cnf(c_0_868,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_286]),
[final] ).
cnf(c_0_869,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_218]),
[final] ).
cnf(c_0_870,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_218]),
[final] ).
cnf(c_0_871,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_531]),
[final] ).
cnf(c_0_872,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_531]),
[final] ).
cnf(c_0_873,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_205]),
[final] ).
cnf(c_0_874,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_205]),
[final] ).
cnf(c_0_875,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_670]),
[final] ).
cnf(c_0_876,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_487]),
[final] ).
cnf(c_0_877,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_670]),
[final] ).
cnf(c_0_878,plain,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_671,c_0_271]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_258]),
[final] ).
cnf(c_0_880,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_258]),
[final] ).
cnf(c_0_881,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_608]),
[final] ).
cnf(c_0_882,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_608]),
[final] ).
cnf(c_0_883,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_329]),
[final] ).
cnf(c_0_884,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_329]),
[final] ).
cnf(c_0_885,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_672]),
[final] ).
cnf(c_0_886,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_604]),
[final] ).
cnf(c_0_887,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_616]),
[final] ).
cnf(c_0_888,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_187]),
[final] ).
cnf(c_0_889,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_187]),
[final] ).
cnf(c_0_890,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_78]),
[final] ).
cnf(c_0_891,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_78]),
[final] ).
cnf(c_0_892,plain,
( ~ product(e_4,X1,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_353]),
[final] ).
cnf(c_0_893,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_285,c_0_333]),
[final] ).
cnf(c_0_894,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_673]),
[final] ).
cnf(c_0_895,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_52]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_52]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_547]),
[final] ).
cnf(c_0_898,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_674,c_0_675]),
[final] ).
cnf(c_0_899,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_547]),
[final] ).
cnf(c_0_900,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_1,X2)
| product(e_4,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]),
[final] ).
cnf(c_0_901,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_676]),
[final] ).
cnf(c_0_902,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_675]),
[final] ).
cnf(c_0_903,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_677]),
[final] ).
cnf(c_0_904,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_678,c_0_31]),
[final] ).
cnf(c_0_905,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_93]),
[final] ).
cnf(c_0_908,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_679]),
[final] ).
cnf(c_0_910,plain,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_680]),c_0_681]),
[final] ).
cnf(c_0_911,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_682]),c_0_307]),
[final] ).
cnf(c_0_912,plain,
( ~ product(e_1,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_683,c_0_395]),
[final] ).
cnf(c_0_913,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_530]),
[final] ).
cnf(c_0_914,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_530]),
[final] ).
cnf(c_0_917,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_491]),
[final] ).
cnf(c_0_919,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_431]),
[final] ).
cnf(c_0_920,plain,
( ~ product(e_1,e_3,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_461]),
[final] ).
cnf(c_0_921,plain,
( ~ product(X1,e_4,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_684]),
[final] ).
cnf(c_0_923,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_685]),
[final] ).
cnf(c_0_924,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_402]),
[final] ).
cnf(c_0_925,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_686]),
[final] ).
cnf(c_0_926,plain,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_589]),
[final] ).
cnf(c_0_927,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_513]),
[final] ).
cnf(c_0_928,plain,
( ~ product(X1,e_3,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_687]),
[final] ).
cnf(c_0_929,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_688]),c_0_105]),
[final] ).
cnf(c_0_930,plain,
( ~ product(e_4,e_1,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_398]),
[final] ).
cnf(c_0_931,plain,
( ~ product(e_3,X1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_399]),
[final] ).
cnf(c_0_932,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_689]),
[final] ).
cnf(c_0_933,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_690]),
[final] ).
cnf(c_0_934,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_691]),
[final] ).
cnf(c_0_935,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_151]),
[final] ).
cnf(c_0_936,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_151]),
[final] ).
cnf(c_0_938,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_594]),
[final] ).
cnf(c_0_939,plain,
( ~ product(e_4,X1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_286]),
[final] ).
cnf(c_0_940,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_487]),
[final] ).
cnf(c_0_941,plain,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_271]),
[final] ).
cnf(c_0_942,plain,
( ~ product(e_1,e_3,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_271]),
[final] ).
cnf(c_0_943,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_692]),c_0_105]),
[final] ).
cnf(c_0_944,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_233]),
[final] ).
cnf(c_0_945,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_693,c_0_31]),
[final] ).
cnf(c_0_946,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_333]),
[final] ).
cnf(c_0_947,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_4,X2)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_77]),
[final] ).
cnf(c_0_948,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_4,X2)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_77]),
[final] ).
cnf(c_0_949,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_694]),
[final] ).
cnf(c_0_950,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_695]),
[final] ).
cnf(c_0_951,plain,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_696]),
[final] ).
cnf(c_0_952,plain,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_696]),
[final] ).
cnf(c_0_953,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_250]),
[final] ).
cnf(c_0_954,plain,
( ~ product(e_4,e_1,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_295]),
[final] ).
cnf(c_0_955,plain,
( ~ product(e_1,e_4,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_239]),
[final] ).
cnf(c_0_956,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_499]),
[final] ).
cnf(c_0_957,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_697]),
[final] ).
cnf(c_0_958,plain,
( ~ product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_438]),
[final] ).
cnf(c_0_959,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_438]),
[final] ).
cnf(c_0_960,plain,
( ~ product(X1,e_1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_327]),
[final] ).
cnf(c_0_961,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_57]),
[final] ).
cnf(c_0_962,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_218]),
[final] ).
cnf(c_0_963,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_531]),
[final] ).
cnf(c_0_964,plain,
( ~ product(e_2,e_1,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_278]),
[final] ).
cnf(c_0_965,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_134]),
[final] ).
cnf(c_0_967,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_518]),
[final] ).
cnf(c_0_968,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_411]),
[final] ).
cnf(c_0_969,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_118]),
[final] ).
cnf(c_0_970,plain,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_187]),
[final] ).
cnf(c_0_971,plain,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_150]),
[final] ).
cnf(c_0_973,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_698]),
[final] ).
cnf(c_0_974,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_236]),c_0_44]),
[final] ).
cnf(c_0_975,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_547]),c_0_44]),
[final] ).
cnf(c_0_976,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_699]),c_0_105]),
[final] ).
cnf(c_0_977,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_52]),
[final] ).
cnf(c_0_978,plain,
( ~ product(e_4,e_1,X1)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_547]),
[final] ).
cnf(c_0_980,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_329]),c_0_71]),
[final] ).
cnf(c_0_981,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_149]),c_0_59]),
[final] ).
cnf(c_0_982,plain,
( ~ product(e_1,e_3,X1)
| ~ product(e_1,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_143]),
[final] ).
cnf(c_0_983,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_633]),
[final] ).
cnf(c_0_985,plain,
( ~ product(e_2,X1,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_235]),
[final] ).
cnf(c_0_987,plain,
( ~ product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_298]),
[final] ).
cnf(c_0_989,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_679]),c_0_628]),
[final] ).
cnf(c_0_990,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_679]),c_0_628]),
[final] ).
cnf(c_0_991,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_621]),c_0_218]),
[final] ).
cnf(c_0_992,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_77]),c_0_159]),
[final] ).
cnf(c_0_993,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_621]),c_0_218]),
[final] ).
cnf(c_0_994,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_1,e_4,e_2)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_706,c_0_77]),c_0_159]),
[final] ).
cnf(c_0_995,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_696]),c_0_521]),
[final] ).
cnf(c_0_996,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_696]),c_0_521]),
[final] ).
cnf(c_0_997,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_679]),c_0_431]),
[final] ).
cnf(c_0_998,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_679]),c_0_431]),
[final] ).
cnf(c_0_999,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_77]),c_0_434]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_77]),c_0_434]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_618]),c_0_532]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_4,e_1,e_2)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_46]),c_0_714]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_618]),c_0_532]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_4,e_1,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_46]),c_0_714]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_672]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_672]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_604]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_604]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_679]),c_0_566]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_679]),c_0_566]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_3,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_718]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_3,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_718]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| product(e_1,e_2,e_4)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_719,c_0_425]),c_0_665]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| product(e_1,e_2,e_4)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_425]),c_0_665]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_669]),c_0_218]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_669]),c_0_218]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_723]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_723]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_510]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_510]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_425]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_425]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_373]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_724,c_0_510]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_373]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_725,c_0_510]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_726,c_0_519]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_727,c_0_519]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_728,c_0_658]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_729,c_0_658]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_730,c_0_533]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_731,c_0_533]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_732,c_0_259]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_733,c_0_259]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_734]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_734]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_735,c_0_527]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_736,c_0_527]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_737,c_0_218]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_738,c_0_218]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_739,c_0_438]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_740,c_0_438]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_741,c_0_531]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_742,c_0_531]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_743]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_743]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_744,c_0_329]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_1,e_2,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_633]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_745,c_0_604]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_746,c_0_604]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_747]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_747]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_675]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_675]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_519]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_519]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_677]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_677]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_749]),c_0_749]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_749]),c_0_749]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_749]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_749]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_429]),c_0_675]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_429]),c_0_675]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_753,c_0_623]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_754,c_0_623]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_2,X1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_413]),c_0_235]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_2,X2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_413]),c_0_235]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_757,c_0_747]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_758,c_0_747]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_635]),c_0_654]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_635]),c_0_654]),
[final] ).
cnf(c_0_1073,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_761,c_0_762]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_763,c_0_762]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_764,c_0_657]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_765,c_0_657]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_766,c_0_419]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_767,c_0_419]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_768,c_0_667]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_769,c_0_667]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_2,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_770]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_2,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_770]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_771,c_0_493]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_772,c_0_493]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_773,c_0_298]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_774,c_0_298]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_775,c_0_666]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_776,c_0_666]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_777,c_0_723]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_778,c_0_723]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_2,X1,X2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_576]),c_0_640]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_2,X2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_576]),c_0_640]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_779,c_0_461]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_780,c_0_461]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_781]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_781]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_782]),
[final] ).
cnf(c_0_1098,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_782]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_783]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_783]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| product(e_1,e_3,e_2)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_333]),c_0_604]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_333]),c_0_604]),
[final] ).
cnf(c_0_1103,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_786]),
[final] ).
cnf(c_0_1104,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_786]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_527]),
[final] ).
cnf(c_0_1106,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_527]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_762]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_762]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_545]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_545]),
[final] ).
cnf(c_0_1111,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_787]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_787]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_679]),c_0_527]),
[final] ).
cnf(c_0_1114,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_679]),c_0_527]),
[final] ).
cnf(c_0_1115,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_679]),
[final] ).
cnf(c_0_1116,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_679]),
[final] ).
cnf(c_0_1117,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_788,c_0_585]),c_0_790]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_789,c_0_585]),c_0_790]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_585]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_585]),
[final] ).
cnf(c_0_1121,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_530]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_530]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_791,c_0_639]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_792,c_0_639]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_528]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_528]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_793,c_0_641]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_794,c_0_641]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_529]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_529]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_795,c_0_642]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_796,c_0_642]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_491]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_491]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_797,c_0_637]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_798,c_0_637]),
[final] ).
cnf(c_0_1137,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_431]),
[final] ).
cnf(c_0_1138,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_431]),
[final] ).
cnf(c_0_1139,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_714]),
[final] ).
cnf(c_0_1140,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_714]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_799,c_0_640]),
[final] ).
cnf(c_0_1142,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_800,c_0_640]),
[final] ).
cnf(c_0_1143,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_801,c_0_532]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_802,c_0_532]),
[final] ).
cnf(c_0_1145,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_461]),
[final] ).
cnf(c_0_1146,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_461]),
[final] ).
cnf(c_0_1147,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_803]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_803]),
[final] ).
cnf(c_0_1149,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_804,c_0_770]),
[final] ).
cnf(c_0_1150,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_805,c_0_770]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_684]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_684]),
[final] ).
cnf(c_0_1153,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_806,c_0_629]),
[final] ).
cnf(c_0_1154,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_807,c_0_629]),
[final] ).
cnf(c_0_1155,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_808,c_0_633]),
[final] ).
cnf(c_0_1156,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_809,c_0_633]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_810,c_0_631]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_811,c_0_631]),
[final] ).
cnf(c_0_1159,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_812,c_0_638]),
[final] ).
cnf(c_0_1160,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_813,c_0_638]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_814,c_0_521]),
[final] ).
cnf(c_0_1162,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_815,c_0_521]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_816,c_0_439]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_817,c_0_439]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_402]),
[final] ).
cnf(c_0_1166,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_402]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_818,c_0_652]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_819,c_0_652]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_589]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_589]),
[final] ).
cnf(c_0_1171,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_2,X1,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_384]),c_0_399]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_2,X2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_384]),c_0_399]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_820,c_0_659]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_821,c_0_659]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_513]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_513]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_687]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_687]),
[final] ).
cnf(c_0_1179,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_398]),
[final] ).
cnf(c_0_1180,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_398]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_508]),c_0_508]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_508]),c_0_508]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_508]),
[final] ).
cnf(c_0_1184,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_508]),
[final] ).
cnf(c_0_1185,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_399]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_399]),
[final] ).
cnf(c_0_1187,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_824,c_0_322]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_825,c_0_322]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_4,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_614]),
[final] ).
cnf(c_0_1190,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_826,c_0_624]),
[final] ).
cnf(c_0_1191,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_4,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_614]),
[final] ).
cnf(c_0_1192,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_827,c_0_624]),
[final] ).
cnf(c_0_1193,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_689]),
[final] ).
cnf(c_0_1194,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_828,c_0_829]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_689]),
[final] ).
cnf(c_0_1196,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_830,c_0_829]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_831,c_0_832]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_833,c_0_832]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_1,e_4,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_384]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_4,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_834,c_0_835]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_1,e_4,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_384]),
[final] ).
cnf(c_0_1202,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_836,c_0_77]),c_0_481]),c_0_837]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_4,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_838,c_0_835]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_839,c_0_625]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_840,c_0_625]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_841,c_0_615]),
[final] ).
cnf(c_0_1207,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_842,c_0_615]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_843,c_0_77]),c_0_481]),c_0_837]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_844,c_0_528]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_845,c_0_528]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_846,c_0_651]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_847,c_0_651]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_848,c_0_649]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_849,c_0_649]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_850,c_0_529]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_851,c_0_529]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_852,c_0_650]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_829]),
[final] ).
cnf(c_0_1219,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_829]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_853,c_0_650]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_320]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_320]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_854,c_0_295]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_855,c_0_295]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_856,c_0_614]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_857,c_0_614]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_858,c_0_205]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_859,c_0_205]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_832]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_832]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_860,c_0_617]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_861,c_0_617]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_550]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_863,c_0_550]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_864,c_0_545]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_865,c_0_545]),
[final] ).
cnf(c_0_1237,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_866,c_0_594]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_867,c_0_594]),
[final] ).
cnf(c_0_1239,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_868]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_869,c_0_654]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_868]),
[final] ).
cnf(c_0_1242,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_870,c_0_654]),
[final] ).
cnf(c_0_1243,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_462]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_462]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_871,c_0_656]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_872,c_0_656]),
[final] ).
cnf(c_0_1247,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_873,c_0_78]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_874,c_0_78]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_875,c_0_138]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_876]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_876]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_877,c_0_138]),
[final] ).
cnf(c_0_1253,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_672]),c_0_44]),
[final] ).
cnf(c_0_1254,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_878]),
[final] ).
cnf(c_0_1255,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_878]),
[final] ).
cnf(c_0_1256,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_286]),
[final] ).
cnf(c_0_1257,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_286]),
[final] ).
cnf(c_0_1258,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_487]),
[final] ).
cnf(c_0_1259,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_487]),
[final] ).
cnf(c_0_1260,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_344]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_344]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_604]),c_0_59]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_616]),c_0_71]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_271]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_271]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_1,e_3,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_835]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_1,e_3,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_835]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( ~ product(X2,X1,e_1)
| ~ product(e_3,X1,X2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_879,c_0_235]),c_0_640]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( ~ product(X1,X2,e_1)
| ~ product(e_3,X2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_880,c_0_235]),c_0_640]),
[final] ).
cnf(c_0_1270,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_718]),c_0_49]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_322]),c_0_577]),
[final] ).
cnf(c_0_1272,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_882,c_0_322]),c_0_577]),
[final] ).
cnf(c_0_1273,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_322]),c_0_832]),
[final] ).
cnf(c_0_1274,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_884,c_0_322]),c_0_832]),
[final] ).
cnf(c_0_1275,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_723]),c_0_39]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_510]),c_0_71]),
[final] ).
cnf(c_0_1277,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_425]),c_0_49]),
[final] ).
cnf(c_0_1278,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_373]),c_0_137]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_353]),c_0_56]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_672]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_672]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_885]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_623]),c_0_56]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_233]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_734]),c_0_56]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_233]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_624]),c_0_56]),
[final] ).
cnf(c_0_1288,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_625]),c_0_56]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_333]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_626]),c_0_56]),
[final] ).
cnf(c_0_1291,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_333]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_628]),c_0_56]),
[final] ).
cnf(c_0_1293,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_629]),c_0_56]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_630]),c_0_56]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_631]),c_0_56]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_743]),c_0_56]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_633]),c_0_56]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_604]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_886]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_604]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_616]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_887]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_616]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_683,c_0_616]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_747]),c_0_39]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_675]),c_0_49]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_519]),c_0_71]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_677]),c_0_137]),
[final] ).
cnf(c_0_1309,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_749]),c_0_105]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_429]),c_0_72]),
[final] ).
cnf(c_0_1311,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_617]),c_0_87]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_413]),c_0_170]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_635]),c_0_137]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_637]),c_0_72]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_638]),c_0_72]),
[final] ).
cnf(c_0_1316,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_639]),c_0_72]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_770]),c_0_72]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_640]),c_0_72]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_641]),c_0_72]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_642]),c_0_72]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_576]),c_0_170]),
[final] ).
cnf(c_0_1322,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_509]),c_0_49]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_781]),c_0_39]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_782]),c_0_44]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_783]),c_0_44]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_786]),c_0_39]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_527]),c_0_71]),
[final] ).
cnf(c_0_1328,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_762]),c_0_44]),
[final] ).
cnf(c_0_1329,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_545]),c_0_44]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_618]),c_0_44]),
[final] ).
cnf(c_0_1331,plain,
( ~ product(X1,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_718]),
[final] ).
cnf(c_0_1332,plain,
( ~ product(e_4,X1,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_718]),
[final] ).
cnf(c_0_1333,plain,
( ~ product(e_4,e_3,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_718]),
[final] ).
cnf(c_0_1334,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_787]),c_0_59]),
[final] ).
cnf(c_0_1335,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_679]),c_0_56]),
[final] ).
cnf(c_0_1336,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_585]),c_0_56]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_530]),c_0_49]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_649]),c_0_56]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_528]),c_0_56]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_650]),c_0_56]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_529]),c_0_56]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_651]),c_0_56]),
[final] ).
cnf(c_0_1343,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_491]),c_0_71]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_652]),c_0_56]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_431]),c_0_49]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_714]),c_0_44]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_532]),c_0_56]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_493]),c_0_71]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_461]),c_0_59]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_803]),c_0_39]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_521]),c_0_56]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_684]),c_0_170]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_654]),c_0_72]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_655]),c_0_72]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_656]),c_0_72]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_439]),c_0_56]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_395]),c_0_71]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_419]),c_0_71]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_138]),c_0_617]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_402]),c_0_59]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_889,c_0_138]),c_0_617]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_657]),c_0_71]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_695]),
[final] ).
cnf(c_0_1364,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_589]),c_0_59]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_695]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_658]),c_0_71]),
[final] ).
cnf(c_0_1367,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_513]),c_0_39]),
[final] ).
cnf(c_0_1368,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_687]),c_0_49]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_282]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_398]),c_0_44]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_282]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_508]),c_0_105]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_399]),c_0_170]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_614]),c_0_87]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_552]),c_0_660]),
[final] ).
cnf(c_0_1376,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_689]),c_0_49]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_302]),c_0_829]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_533]),c_0_71]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_384]),c_0_170]),
[final] ).
cnf(c_0_1380,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_659]),c_0_72]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_552]),c_0_660]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_829]),c_0_105]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_320]),c_0_170]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_302]),c_0_829]),
[final] ).
cnf(c_0_1385,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_2,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_832]),c_0_105]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_660]),c_0_137]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_868]),c_0_137]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_462]),c_0_170]),
[final] ).
cnf(c_0_1389,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_876]),c_0_137]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_609]),c_0_137]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_606]),c_0_71]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_594]),c_0_49]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_878]),c_0_49]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_286]),c_0_49]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_487]),c_0_49]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_2,X1,X2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_890,c_0_403]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_344]),c_0_49]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_271]),c_0_59]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_835]),c_0_106]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_235]),c_0_87]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_322]),c_0_72]),
[final] ).
cnf(c_0_1402,plain,
( ~ product(X1,e_4,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_723]),
[final] ).
cnf(c_0_1403,plain,
( ~ product(e_1,X1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_723]),
[final] ).
cnf(c_0_1404,plain,
( ~ product(e_1,e_4,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_723]),
[final] ).
cnf(c_0_1405,plain,
( ~ product(X1,e_2,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_510]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_2,X2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_891,c_0_403]),
[final] ).
cnf(c_0_1407,plain,
( ~ product(e_1,e_2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_510]),
[final] ).
cnf(c_0_1408,plain,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_143]),
[final] ).
cnf(c_0_1409,plain,
( ~ product(e_4,X1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_425]),
[final] ).
cnf(c_0_1410,plain,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_425]),
[final] ).
cnf(c_0_1411,plain,
( ~ product(e_3,X1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_373]),
[final] ).
cnf(c_0_1412,plain,
( ~ product(e_3,e_1,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_373]),
[final] ).
cnf(c_0_1413,plain,
( ~ product(X1,e_2,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_353]),
[final] ).
cnf(c_0_1414,plain,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_892]),
[final] ).
cnf(c_0_1415,plain,
( ~ product(e_4,e_2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_353]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_696]),
[final] ).
cnf(c_0_1417,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_696]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_893,c_0_353]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_894,c_0_353]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_2,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_615]),c_0_105]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_664]),c_0_137]),
[final] ).
cnf(c_0_1422,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_233]),c_0_49]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_138]),c_0_607]),
[final] ).
cnf(c_0_1424,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_333]),c_0_49]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_665]),c_0_71]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_666]),c_0_71]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_511]),c_0_71]),
[final] ).
cnf(c_0_1428,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_138]),c_0_607]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_667]),c_0_71]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_668]),c_0_71]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_298]),c_0_71]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_284]),c_0_59]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_621]),c_0_39]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_695]),c_0_39]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_282]),c_0_71]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_696]),c_0_137]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_623]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_623]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_623]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_734]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_734]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_734]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_624]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_624]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_624]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_625]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_625]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_625]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_626]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_626]),
[final] ).
cnf(c_0_1451,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_626]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_138]),c_0_898]),
[final] ).
cnf(c_0_1453,plain,
( ~ product(X1,e_2,e_1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_628]),
[final] ).
cnf(c_0_1454,plain,
( ~ product(e_4,X1,e_1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_628]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_897,c_0_278]),c_0_649]),
[final] ).
cnf(c_0_1456,plain,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_628]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_629]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_629]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_629]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_630]),
[final] ).
cnf(c_0_1461,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_630]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_630]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_138]),c_0_898]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_631]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_631]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_278]),c_0_649]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_631]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_743]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_743]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_743]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_633]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_633]),
[final] ).
cnf(c_0_1473,plain,
( ~ product(X1,e_3,e_1)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_502]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| product(e_4,e_1,e_2)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_118]),c_0_545]),
[final] ).
cnf(c_0_1475,plain,
( ~ product(e_4,X1,e_1)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_502]),
[final] ).
cnf(c_0_1476,plain,
( ~ product(e_4,e_3,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_502]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_543]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_543]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_295]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_295]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_901,c_0_502]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_747]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_747]),
[final] ).
cnf(c_0_1484,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_747]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_902]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_675]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_675]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_519]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_519]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_259]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_259]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_903]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_677]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_677]),
[final] ).
cnf(c_0_1495,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_749]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_749]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_749]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_239]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_239]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_429]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( ~ product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_617]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_617]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_617]),
[final] ).
cnf(c_0_1504,plain,
( ~ product(X1,e_4,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_413]),
[final] ).
cnf(c_0_1505,plain,
( ~ product(e_3,X1,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_413]),
[final] ).
cnf(c_0_1506,plain,
( ~ product(e_3,e_4,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_413]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_498]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_498]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_575,c_0_413]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_904,c_0_413]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_905,c_0_413]),
[final] ).
cnf(c_0_1512,plain,
( ~ product(X1,e_1,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_635]),
[final] ).
cnf(c_0_1513,plain,
( ~ product(e_3,X1,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_635]),
[final] ).
cnf(c_0_1514,plain,
( ~ product(e_3,e_1,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_635]),
[final] ).
cnf(c_0_1515,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_552]),c_0_137]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_637]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_637]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_637]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_638]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_638]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_638]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_639]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_639]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_639]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_770]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_770]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_770]),
[final] ).
cnf(c_0_1528,plain,
( ~ product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_640]),
[final] ).
cnf(c_0_1529,plain,
( ~ product(e_3,X1,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_640]),
[final] ).
cnf(c_0_1530,plain,
( ~ product(e_3,e_2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_640]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_641]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_641]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_641]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( ~ product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_642]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_642]),
[final] ).
cnf(c_0_1536,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_642]),
[final] ).
cnf(c_0_1537,plain,
( ~ product(X1,e_4,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_576]),
[final] ).
cnf(c_0_1538,plain,
( ~ product(e_3,X1,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_576]),
[final] ).
cnf(c_0_1539,plain,
( ~ product(e_3,e_4,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_576]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_499]),c_0_557]),c_0_620]),c_0_286]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_905,c_0_576]),
[final] ).
cnf(c_0_1542,plain,
( ~ product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_509]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_499]),c_0_557]),c_0_620]),c_0_286]),
[final] ).
cnf(c_0_1544,plain,
( ~ product(e_4,X1,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_509]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_499]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_543]),c_0_39]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_550]),c_0_170]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_295]),c_0_44]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_259]),c_0_71]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_499]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_239]),c_0_39]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_403]),c_0_44]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_498]),c_0_59]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_340]),c_0_39]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_302]),c_0_137]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_423]),c_0_59]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_499]),c_0_59]),
[final] ).
cnf(c_0_1558,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_781]),
[final] ).
cnf(c_0_1559,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_781]),
[final] ).
cnf(c_0_1560,plain,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_781]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_782]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_782]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_782]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_783]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_783]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_783]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_786]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_786]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_786]),
[final] ).
cnf(c_0_1570,plain,
( ~ product(X1,e_2,e_3)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_527]),
[final] ).
cnf(c_0_1571,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_527]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_762]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_762]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_762]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_545]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_545]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_545]),
[final] ).
cnf(c_0_1578,plain,
( ~ product(X1,e_1,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_618]),
[final] ).
cnf(c_0_1579,plain,
( ~ product(e_4,X1,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_618]),
[final] ).
cnf(c_0_1580,plain,
( ~ product(e_4,e_1,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_618]),
[final] ).
cnf(c_0_1581,plain,
( ~ product(X1,e_3,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_787]),
[final] ).
cnf(c_0_1582,plain,
( ~ product(e_1,X1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_787]),
[final] ).
cnf(c_0_1583,plain,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_787]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_908]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_477]),c_0_59]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_679]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_679]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_477]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_477]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_3,X1,X2)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_203]),c_0_910]),c_0_911]),c_0_912]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_585]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_585]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_44,c_0_913]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_137,c_0_914]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_530]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_649]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_649]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_649]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( ~ product(X2,X1,e_4)
| ~ product(e_2,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_915,c_0_449]),c_0_197]),c_0_256]),c_0_536]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_528]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_2,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_449]),c_0_197]),c_0_256]),c_0_536]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_528]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_650]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_650]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_650]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_529]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_529]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_449]),c_0_59]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_651]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_651]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_651]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_491]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_917]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_652]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( ~ product(X1,X2,e_4)
| ~ product(e_3,X2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_203]),c_0_910]),c_0_911]),c_0_912]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_652]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_652]),
[final] ).
cnf(c_0_1618,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_489,c_0_143]),
[final] ).
cnf(c_0_1619,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_137,c_0_919]),
[final] ).
cnf(c_0_1620,plain,
( ~ product(X1,e_1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_714]),
[final] ).
cnf(c_0_1621,plain,
( ~ product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_714]),
[final] ).
cnf(c_0_1622,plain,
( ~ product(e_4,e_1,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_714]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_532]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_532]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_532]),
[final] ).
cnf(c_0_1626,plain,
( ~ product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_493]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_697]),c_0_39]),
[final] ).
cnf(c_0_1628,plain,
( ~ product(e_1,X1,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_493]),
[final] ).
cnf(c_0_1629,plain,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_493]),
[final] ).
cnf(c_0_1630,plain,
( ~ product(X1,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_461]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_697]),
[final] ).
cnf(c_0_1632,plain,
( ~ product(e_1,X1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_461]),
[final] ).
cnf(c_0_1633,plain,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_920]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_697]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_803]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_803]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_803]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_521]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_521]),
[final] ).
cnf(c_0_1640,plain,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_137,c_0_921]),
[final] ).
cnf(c_0_1641,plain,
( ~ product(e_3,X1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_684]),
[final] ).
cnf(c_0_1642,plain,
( ~ product(e_3,e_4,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_684]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_654]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_654]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_654]),
[final] ).
cnf(c_0_1646,plain,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_655]),
[final] ).
cnf(c_0_1647,plain,
( ~ product(e_3,X1,e_4)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_655]),
[final] ).
cnf(c_0_1648,plain,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_655]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_656]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_656]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_656]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_439]),
[final] ).
cnf(c_0_1653,plain,
( ~ product(X1,e_2,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_395]),
[final] ).
cnf(c_0_1654,plain,
( ~ product(e_1,e_2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_395]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_329]),c_0_382]),c_0_377]),c_0_649]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_419]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_419]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_608]),c_0_382]),c_0_377]),c_0_923]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_419]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_402]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_438]),c_0_71]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_438]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_3,e_2,X2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_438]),
[final] ).
cnf(c_0_1664,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_4,X1,X3)
| ~ product(e_2,e_1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_327]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_4,X3,X1)
| ~ product(e_2,e_1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_327]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_402]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_924]),
[final] ).
cnf(c_0_1668,plain,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_657]),
[final] ).
cnf(c_0_1669,plain,
( ~ product(e_1,X1,e_4)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_657]),
[final] ).
cnf(c_0_1670,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_657]),
[final] ).
cnf(c_0_1671,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_589]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_329]),c_0_382]),c_0_377]),c_0_925]),
[final] ).
cnf(c_0_1673,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_589]),
[final] ).
cnf(c_0_1674,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_608]),c_0_382]),c_0_377]),c_0_923]),
[final] ).
cnf(c_0_1675,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_926]),
[final] ).
cnf(c_0_1676,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_658]),
[final] ).
cnf(c_0_1677,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_658]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_658]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_513]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_513]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_927]),
[final] ).
cnf(c_0_1682,plain,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_44,c_0_928]),
[final] ).
cnf(c_0_1683,plain,
( ~ product(e_4,X1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_687]),
[final] ).
cnf(c_0_1684,plain,
( ~ product(e_4,e_3,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_687]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_497]),
[final] ).
cnf(c_0_1686,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_929,c_0_431]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_497]),
[final] ).
cnf(c_0_1688,plain,
( ~ product(e_4,X1,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_398]),
[final] ).
cnf(c_0_1689,plain,
( ~ product(e_4,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_106,c_0_930]),
[final] ).
cnf(c_0_1690,plain,
( ~ product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_508]),
[final] ).
cnf(c_0_1691,plain,
( ~ product(e_2,e_1,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_508]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_496]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_496]),
[final] ).
cnf(c_0_1694,plain,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_434,c_0_697]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_434,c_0_695]),
[final] ).
cnf(c_0_1696,plain,
( ~ product(e_1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_434,c_0_151]),
[final] ).
cnf(c_0_1697,plain,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_931]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_386]),
[final] ).
cnf(c_0_1699,plain,
( ~ product(e_3,e_4,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_399]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_1,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_386]),
[final] ).
cnf(c_0_1701,plain,
( ~ product(e_2,X1,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_614]),
[final] ).
cnf(c_0_1702,plain,
( ~ product(e_2,e_4,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_614]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_44,c_0_932]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_689]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_689]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( ~ product(X1,e_2,e_3)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_533]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_533]),
[final] ).
cnf(c_0_1708,plain,
( ~ product(X1,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_384]),
[final] ).
cnf(c_0_1709,plain,
( ~ product(e_3,X1,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_384]),
[final] ).
cnf(c_0_1710,plain,
( ~ product(e_3,e_4,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_384]),
[final] ).
cnf(c_0_1711,plain,
( ~ product(X1,e_2,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_659]),
[final] ).
cnf(c_0_1712,plain,
( ~ product(e_3,X1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_659]),
[final] ).
cnf(c_0_1713,plain,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_659]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_829]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_829]),
[final] ).
cnf(c_0_1716,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_829]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_933,c_0_521]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_278]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_278]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_934,c_0_395]),
[final] ).
cnf(c_0_1721,plain,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_351,c_0_395]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_159]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_159]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_697]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_695]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_151]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_134]),c_0_218]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_320]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_936,c_0_134]),c_0_218]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_320]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_832]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( ~ product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_832]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_832]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_660]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_4,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_134]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_660]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_660]),
[final] ).
cnf(c_0_1738,plain,
( ~ product(X1,e_1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_868]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_4,X2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_134]),
[final] ).
cnf(c_0_1740,plain,
( ~ product(e_3,X1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_868]),
[final] ).
cnf(c_0_1741,plain,
( ~ product(e_3,e_1,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_868]),
[final] ).
cnf(c_0_1742,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_534,c_0_151]),
[final] ).
cnf(c_0_1743,plain,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_462]),
[final] ).
cnf(c_0_1744,plain,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_462]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_876]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_518]),c_0_324]),c_0_367]),c_0_399]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_876]),
[final] ).
cnf(c_0_1748,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_876]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_518]),c_0_324]),c_0_367]),c_0_399]),
[final] ).
cnf(c_0_1750,plain,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_609]),
[final] ).
cnf(c_0_1751,plain,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_609]),
[final] ).
cnf(c_0_1752,plain,
( ~ product(X1,e_2,e_4)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_606]),
[final] ).
cnf(c_0_1753,plain,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_606]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_518]),
[final] ).
cnf(c_0_1755,plain,
( ~ product(e_1,e_2,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_606]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_594]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_518]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_137,c_0_938]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_594]),
[final] ).
cnf(c_0_1760,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_878]),
[final] ).
cnf(c_0_1761,plain,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_878]),
[final] ).
cnf(c_0_1762,plain,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_878]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( ~ product(X2,X1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_411]),c_0_531]),
[final] ).
cnf(c_0_1764,plain,
( ~ product(X1,e_3,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_286]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( ~ product(X1,X2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_936,c_0_411]),c_0_531]),
[final] ).
cnf(c_0_1766,plain,
( ~ product(e_4,e_1,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_137,c_0_939]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_185,c_0_513]),
[final] ).
cnf(c_0_1768,plain,
( ~ product(e_4,e_3,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_286]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_487]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_940]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_487]),
[final] ).
cnf(c_0_1772,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_344]),
[final] ).
cnf(c_0_1773,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_137,c_0_363]),
[final] ).
cnf(c_0_1774,plain,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_344]),
[final] ).
cnf(c_0_1775,plain,
( ~ product(X1,e_3,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_271]),
[final] ).
cnf(c_0_1776,plain,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_941]),
[final] ).
cnf(c_0_1777,plain,
( ~ product(e_1,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_942]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_835]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_835]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_835]),
[final] ).
cnf(c_0_1781,plain,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_943,c_0_399]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_290,c_0_399]),
[final] ).
cnf(c_0_1783,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_427]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_427]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_322]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_615]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( ~ product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_615]),
[final] ).
cnf(c_0_1788,plain,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_664]),
[final] ).
cnf(c_0_1789,plain,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_664]),
[final] ).
cnf(c_0_1790,plain,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_664]),
[final] ).
cnf(c_0_1791,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_435,c_0_344]),
[final] ).
cnf(c_0_1792,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_944]),
[final] ).
cnf(c_0_1793,plain,
( ~ product(e_4,e_3,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_233]),
[final] ).
cnf(c_0_1794,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_333]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_945,c_0_235]),
[final] ).
cnf(c_0_1796,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_946]),
[final] ).
cnf(c_0_1797,plain,
( ~ product(e_4,e_3,X1)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_333]),
[final] ).
cnf(c_0_1798,plain,
( ~ product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_665]),
[final] ).
cnf(c_0_1799,plain,
( ~ product(e_1,X1,e_4)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_665]),
[final] ).
cnf(c_0_1800,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_665]),
[final] ).
cnf(c_0_1801,plain,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_666]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_2,X1,X3)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_138]),
[final] ).
cnf(c_0_1803,plain,
( ~ product(e_1,X1,e_4)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_666]),
[final] ).
cnf(c_0_1804,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_666]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_2,X3,X1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_342,c_0_138]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_511]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( ~ product(e_1,X1,e_4)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_511]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_511]),
[final] ).
cnf(c_0_1809,plain,
( ~ product(X1,e_2,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_667]),
[final] ).
cnf(c_0_1810,plain,
( ~ product(e_1,X1,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_667]),
[final] ).
cnf(c_0_1811,plain,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_667]),
[final] ).
cnf(c_0_1812,plain,
( ~ product(X1,e_2,e_4)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_668]),
[final] ).
cnf(c_0_1813,plain,
( ~ product(e_1,X1,e_4)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_668]),
[final] ).
cnf(c_0_1814,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_668]),
[final] ).
cnf(c_0_1815,plain,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_298]),
[final] ).
cnf(c_0_1816,plain,
( ~ product(X1,e_3,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_284]),
[final] ).
cnf(c_0_1817,plain,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_284]),
[final] ).
cnf(c_0_1818,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_435,c_0_333]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_669]),c_0_159]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_669]),c_0_159]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_149]),c_0_949]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_143]),c_0_351]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_327]),c_0_44]),
[final] ).
cnf(c_0_1824,plain,
( ~ product(X1,e_4,e_3)
| product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_621]),
[final] ).
cnf(c_0_1825,plain,
( ~ product(e_1,X1,e_3)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_621]),
[final] ).
cnf(c_0_1826,plain,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_621]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_149]),c_0_949]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_4,X2,X1)
| ~ product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_143]),c_0_351]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_497]),c_0_59]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_496]),c_0_59]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_386]),c_0_39]),
[final] ).
cnf(c_0_1832,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_218]),c_0_71]),
[final] ).
cnf(c_0_1833,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_505]),c_0_71]),
[final] ).
cnf(c_0_1834,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_531]),c_0_71]),
[final] ).
cnf(c_0_1835,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_695]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_101]),c_0_463]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_101]),c_0_463]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_950]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_695]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_503,c_0_282]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_515,c_0_282]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_3,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_101]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_490,c_0_282]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_586,c_0_282]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_177,c_0_282]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_211,c_0_282]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_3,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_101]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_278]),c_0_105]),
[final] ).
cnf(c_0_1849,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_159]),c_0_39]),
[final] ).
cnf(c_0_1850,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_2,X1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_134]),c_0_87]),
[final] ).
cnf(c_0_1851,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_951]),
[final] ).
cnf(c_0_1852,plain,
( ~ product(e_3,X1,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_696]),
[final] ).
cnf(c_0_1853,plain,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_952]),
[final] ).
cnf(c_0_1854,plain,
( ~ product(X1,e_1,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_552]),
[final] ).
cnf(c_0_1855,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_953,c_0_696]),
[final] ).
cnf(c_0_1856,plain,
( ~ product(e_3,e_1,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_552]),
[final] ).
cnf(c_0_1857,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_543]),
[final] ).
cnf(c_0_1858,plain,
( ~ product(e_1,e_4,X1)
| ~ product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_543]),
[final] ).
cnf(c_0_1859,plain,
( ~ product(X1,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_550]),
[final] ).
cnf(c_0_1860,plain,
( ~ product(e_3,e_4,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_550]),
[final] ).
cnf(c_0_1861,plain,
( ~ product(X1,e_1,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_295]),
[final] ).
cnf(c_0_1862,plain,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_106,c_0_954]),
[final] ).
cnf(c_0_1863,plain,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_276]),
[final] ).
cnf(c_0_1864,plain,
( ~ product(e_1,X1,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_259]),
[final] ).
cnf(c_0_1865,plain,
( ~ product(e_1,e_2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_259]),
[final] ).
cnf(c_0_1866,plain,
( ~ product(X1,e_4,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_239]),
[final] ).
cnf(c_0_1867,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_1,X1,X2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_258]),c_0_459]),
[final] ).
cnf(c_0_1868,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_1,X2,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_258]),c_0_459]),
[final] ).
cnf(c_0_1869,plain,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_106,c_0_955]),
[final] ).
cnf(c_0_1870,plain,
( ~ product(X1,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_403]),
[final] ).
cnf(c_0_1871,plain,
( ~ product(e_4,X1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_403]),
[final] ).
cnf(c_0_1872,plain,
( ~ product(X1,e_3,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_498]),
[final] ).
cnf(c_0_1873,plain,
( ~ product(e_1,X1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_498]),
[final] ).
cnf(c_0_1874,plain,
( ~ product(X1,e_4,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_340]),
[final] ).
cnf(c_0_1875,plain,
( ~ product(e_1,X1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_340]),
[final] ).
cnf(c_0_1876,plain,
( ~ product(X1,e_1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_302]),
[final] ).
cnf(c_0_1877,plain,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_328]),
[final] ).
cnf(c_0_1878,plain,
( ~ product(X1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_423]),
[final] ).
cnf(c_0_1879,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_499]),
[final] ).
cnf(c_0_1880,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_956]),
[final] ).
cnf(c_0_1881,plain,
( ~ product(X1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_477]),
[final] ).
cnf(c_0_1882,plain,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_477]),
[final] ).
cnf(c_0_1883,plain,
( ~ product(X1,e_3,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_449]),
[final] ).
cnf(c_0_1884,plain,
( ~ product(e_1,X1,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_449]),
[final] ).
cnf(c_0_1885,plain,
( ~ product(e_1,e_3,X1)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_449]),
[final] ).
cnf(c_0_1886,plain,
( ~ product(X1,e_4,e_2)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_697]),
[final] ).
cnf(c_0_1887,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_957]),
[final] ).
cnf(c_0_1888,plain,
( ~ product(e_1,e_4,X1)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_697]),
[final] ).
cnf(c_0_1889,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_958]),
[final] ).
cnf(c_0_1890,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_959]),
[final] ).
cnf(c_0_1891,plain,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_960]),
[final] ).
cnf(c_0_1892,plain,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_503,c_0_438]),
[final] ).
cnf(c_0_1893,plain,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_345]),
[final] ).
cnf(c_0_1894,plain,
( ~ product(e_4,e_1,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_327]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_961,c_0_302]),
[final] ).
cnf(c_0_1896,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_497]),
[final] ).
cnf(c_0_1897,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_497]),
[final] ).
cnf(c_0_1898,plain,
( ~ product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_496]),
[final] ).
cnf(c_0_1899,plain,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_36,c_0_496]),
[final] ).
cnf(c_0_1900,plain,
( ~ product(e_1,X1,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_386]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_962]),
[final] ).
cnf(c_0_1902,plain,
( ~ product(X1,e_2,e_3)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_505]),
[final] ).
cnf(c_0_1903,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_505]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_963]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( ~ product(e_1,X1,e_3)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_531]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_531]),
[final] ).
cnf(c_0_1907,plain,
( ~ product(e_1,e_2,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_203]),
[final] ).
cnf(c_0_1908,plain,
( ~ product(e_2,X1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_278]),
[final] ).
cnf(c_0_1909,plain,
( ~ product(e_2,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_964]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_159]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_177,c_0_218]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_149]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_149]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_159]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_459,c_0_159]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_44,c_0_965]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_943,c_0_669]),
[final] ).
cnf(c_0_1918,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_943,c_0_258]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_966]),c_0_105]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_518]),c_0_39]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_2,X1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_411]),c_0_87]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_427]),c_0_59]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_518]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_49,c_0_967]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_518]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_968]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_205]),c_0_137]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_670]),c_0_44]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_138]),c_0_105]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_118]),c_0_137]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_669]),c_0_170]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_41,c_0_143]),
[final] ).
cnf(c_0_1933,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_187]),c_0_44]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_101]),c_0_170]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_143]),
[final] ).
cnf(c_0_1936,plain,
( ~ product(e_3,e_1,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_205]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,X1)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_150]),c_0_105]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_547]),c_0_31])]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_670]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_670]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_670]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_138]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_969]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_669]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_36,c_0_669]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_669]),
[final] ).
cnf(c_0_1947,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_970]),
[final] ).
cnf(c_0_1948,plain,
( ~ product(e_4,e_1,X1)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_187]),
[final] ).
cnf(c_0_1949,plain,
( ~ product(e_3,e_4,X1)
| ~ product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_101]),
[final] ).
cnf(c_0_1950,plain,
( ~ product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_36,c_0_150]),
[final] ).
cnf(c_0_1951,plain,
( ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_971]),
[final] ).
cnf(c_0_1952,plain,
( ~ product(e_2,e_1,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_221,c_0_78]),
[final] ).
cnf(c_0_1953,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_972]),c_0_105]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_3,X1)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_258]),c_0_170]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_89]),
[final] ).
cnf(c_0_1956,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_89]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| ~ product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_147]),c_0_973]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_974,c_0_31]),
[final] ).
cnf(c_0_1959,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_975,c_0_31]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( ~ product(X2,X1,e_2)
| ~ product(e_3,X1,X2)
| ~ product(e_1,e_2,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_151]),c_0_177]),
[final] ).
cnf(c_0_1961,plain,
( ~ product(e_3,e_4,X1)
| ~ product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_221,c_0_258]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_976,c_0_258]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_106,c_0_977]),
[final] ).
cnf(c_0_1964,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_246]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| ~ product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_147]),c_0_973]),
[final] ).
cnf(c_0_1966,plain,
( ~ product(e_4,e_1,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_978]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( ~ product(X1,X2,e_2)
| ~ product(e_3,X2,X1)
| ~ product(e_1,e_2,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_151]),c_0_177]),
[final] ).
cnf(c_0_1968,plain,
( ~ product(e_4,e_1,X1)
| product(e_4,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_46]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( ~ product(X3,X1,X2)
| ~ product(e_1,X1,X3)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_147]),
[final] ).
cnf(c_0_1970,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_37,c_0_979]),c_0_105]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( ~ product(X1,X3,X2)
| ~ product(e_1,X3,X1)
| ~ product(e_2,e_4,X2)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_342,c_0_147]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_980,c_0_31]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( ~ product(e_1,X1,e_3)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_36,c_0_608]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_608]),
[final] ).
cnf(c_0_1975,plain,
( ~ product(e_1,e_2,X1)
| ~ product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_329]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_981,c_0_31]),
[final] ).
cnf(c_0_1977,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_982]),
[final] ).
cnf(c_0_1978,plain,
( ~ product(e_1,e_4,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_106,c_0_341]),
[final] ).
cnf(c_0_1979,plain,
( ~ product(e_1,e_4,X1)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_77]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( ~ product(X1,X3,X4)
| ~ product(X2,X2,X4)
| ~ product(X2,X3,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_342,c_0_31]),
[final] ).
cnf(c_0_1981,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_983]),c_0_984]),
[final] ).
cnf(c_0_1982,plain,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_985]),c_0_986]),
[final] ).
cnf(c_0_1983,plain,
~ product(e_1,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_987]),c_0_988]),
[final] ).
cnf(c_0_1984,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_267,c_0_31]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP123-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:58:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 4.46/1.09 % Version: 3.5.1
% 4.46/1.09 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.46/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.46/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.46/1.09 % Starting new_bool_3 with 300s (1) cores
% 4.46/1.09 % Starting new_bool_1 with 300s (1) cores
% 4.46/1.09 % Starting sh5l with 300s (1) cores
% 4.46/1.09 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 793447 completed with status 1
% 4.46/1.09 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.46/1.09 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.46/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.46/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.46/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.46/1.09 % No SInE strategy applied
% 4.46/1.09 % Search class: FGUNF-FFSS00-SFFFFFNN
% 4.46/1.09 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.46/1.09 % Starting SubtermCWHack with 136s (1) cores
% 4.46/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.46/1.09 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.46/1.09 % Starting new_bool_3 with 136s (1) cores
% 4.46/1.09 % Starting new_bool_1 with 136s (1) cores
% 4.46/1.09 % SubtermCWHack with pid 793452 completed with status 1
% 4.46/1.09 % Result found by SubtermCWHack
% 4.46/1.09 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.46/1.09 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.46/1.09 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.46/1.09 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.46/1.09 % No SInE strategy applied
% 4.46/1.09 % Search class: FGUNF-FFSS00-SFFFFFNN
% 4.46/1.09 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.46/1.09 % Starting SubtermCWHack with 136s (1) cores
% 4.46/1.09 % Preprocessing time : 0.001 s
% 4.46/1.09
% 4.46/1.09 % No proof found!
% 4.46/1.09 % SZS status Satisfiable
% 4.46/1.09 % SZS output start Saturation
% See solution above
% 4.46/1.10 % Parsed axioms : 25
% 4.46/1.10 % Removed by relevancy pruning/SinE : 0
% 4.46/1.10 % Initial clauses : 25
% 4.46/1.10 % Removed in clause preprocessing : 0
% 4.46/1.10 % Initial clauses in saturation : 25
% 4.46/1.10 % Processed clauses : 18400
% 4.46/1.10 % ...of these trivial : 0
% 4.46/1.10 % ...subsumed : 15826
% 4.46/1.10 % ...remaining for further processing : 2574
% 4.46/1.10 % Other redundant clauses eliminated : 0
% 4.46/1.10 % Clauses deleted for lack of memory : 0
% 4.46/1.10 % Backward-subsumed : 824
% 4.46/1.10 % Backward-rewritten : 0
% 4.46/1.10 % Generated clauses : 25836
% 4.46/1.10 % ...of the previous two non-redundant : 21145
% 4.46/1.10 % ...aggressively subsumed : 0
% 4.46/1.10 % Contextual simplify-reflections : 189
% 4.46/1.10 % Paramodulations : 25809
% 4.46/1.10 % Factorizations : 0
% 4.46/1.10 % NegExts : 0
% 4.46/1.10 % Equation resolutions : 0
% 4.46/1.10 % Disequality decompositions : 0
% 4.46/1.10 % Total rewrite steps : 4446
% 4.46/1.10 % ...of those cached : 4437
% 4.46/1.10 % Propositional unsat checks : 0
% 4.46/1.10 % Propositional check models : 0
% 4.46/1.10 % Propositional check unsatisfiable : 0
% 4.46/1.10 % Propositional clauses : 0
% 4.46/1.10 % Propositional clauses after purity: 0
% 4.46/1.10 % Propositional unsat core size : 0
% 4.46/1.10 % Propositional preprocessing time : 0.000
% 4.46/1.10 % Propositional encoding time : 0.000
% 4.46/1.10 % Propositional solver time : 0.000
% 4.46/1.10 % Success case prop preproc time : 0.000
% 4.46/1.10 % Success case prop encoding time : 0.000
% 4.46/1.10 % Success case prop solver time : 0.000
% 4.46/1.10 % Current number of processed clauses : 1723
% 4.46/1.10 % Positive orientable unit clauses : 6
% 4.46/1.10 % Positive unorientable unit clauses: 0
% 4.46/1.10 % Negative unit clauses : 48
% 4.46/1.10 % Non-unit-clauses : 1669
% 4.46/1.10 % Current number of unprocessed clauses: 0
% 4.46/1.10 % ...number of literals in the above : 0
% 4.46/1.10 % Current number of archived formulas : 0
% 4.46/1.10 % Current number of archived clauses : 851
% 4.46/1.10 % Clause-clause subsumption calls (NU) : 675057
% 4.46/1.10 % Rec. Clause-clause subsumption calls : 178380
% 4.46/1.10 % Non-unit clause-clause subsumptions : 9736
% 4.46/1.10 % Unit Clause-clause subsumption calls : 6112
% 4.46/1.10 % Rewrite failures with RHS unbound : 0
% 4.46/1.10 % BW rewrite match attempts : 13
% 4.46/1.10 % BW rewrite match successes : 0
% 4.46/1.10 % Condensation attempts : 0
% 4.46/1.10 % Condensation successes : 0
% 4.46/1.10 % Termbank termtop insertions : 383777
% 4.46/1.10 % Search garbage collected termcells : 61
% 4.46/1.10
% 4.46/1.10 % -------------------------------------------------
% 4.46/1.10 % User time : 0.633 s
% 4.46/1.10 % System time : 0.006 s
% 4.46/1.10 % Total time : 0.639 s
% 4.46/1.10 % Maximum resident set size: 3904 pages
% 4.46/1.10
% 4.46/1.10 % -------------------------------------------------
% 4.46/1.10 % User time : 3.070 s
% 4.46/1.10 % System time : 0.066 s
% 4.46/1.10 % Total time : 3.135 s
% 4.46/1.10 % Maximum resident set size: 5120 pages
% 4.46/1.10 % E exiting
%------------------------------------------------------------------------------