TSTP Solution File: GRP123-9.004 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP123-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:45:27 EDT 2023
% Result : Timeout 610.94s 300.04s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product1_right_cancellation)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_29,axiom,
( product1(X1,X2,e_1)
| product1(X1,X2,e_2)
| product1(X1,X2,e_3)
| product1(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product1_total_function1,
[final] ).
cnf(c_0_30,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_31,axiom,
( equalish(X2,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X4,X3) ),
product1_right_cancellation,
[final] ).
cnf(c_0_32,axiom,
product1(X1,X1,X1),
product1_idempotence,
[final] ).
cnf(c_0_33,plain,
( product1(X1,e_3,e_4)
| product1(X1,e_3,e_3)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_34,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_35,plain,
( equalish(X1,X2)
| ~ product1(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]),
[final] ).
cnf(c_0_37,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_38,negated_conjecture,
( product2(X4,X1,X2)
| ~ product1(X1,X2,X3)
| ~ product1(X3,X2,X4) ),
qg1a,
[final] ).
cnf(c_0_39,plain,
( product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[final] ).
cnf(c_0_40,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_41,axiom,
( product2(X1,X2,e_1)
| product2(X1,X2,e_2)
| product2(X1,X2,e_3)
| product2(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product2_total_function1,
[final] ).
cnf(c_0_42,axiom,
( equalish(X3,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X2,X4) ),
product2_total_function2,
[final] ).
cnf(c_0_43,axiom,
product2(X1,X1,X1),
product2_idempotence,
[final] ).
cnf(c_0_44,negated_conjecture,
( product2(e_4,X1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_45,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_40]),
[final] ).
cnf(c_0_46,axiom,
( equalish(X2,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X4,X3) ),
product2_right_cancellation,
[final] ).
cnf(c_0_47,plain,
( product2(X1,e_4,e_4)
| product2(X1,e_4,e_3)
| product2(X1,e_4,e_2)
| product2(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]),
[final] ).
cnf(c_0_48,axiom,
( equalish(X1,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X4,X2,X3) ),
product1_left_cancellation,
[final] ).
cnf(c_0_49,plain,
( equalish(X1,X2)
| ~ product2(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]),
[final] ).
cnf(c_0_51,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_52,axiom,
( equalish(X1,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X4,X2,X3) ),
product2_left_cancellation,
[final] ).
cnf(c_0_53,plain,
( equalish(X1,X2)
| ~ product2(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]),
[final] ).
cnf(c_0_55,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_56,plain,
( product1(X1,e_4,e_4)
| product1(X1,e_4,e_3)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]),
[final] ).
cnf(c_0_57,plain,
( equalish(X1,X2)
| ~ product1(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]),
[final] ).
cnf(c_0_59,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_60,negated_conjecture,
( product2(X1,X2,X1)
| ~ product1(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]),
[final] ).
cnf(c_0_61,plain,
( equalish(X1,X2)
| ~ product2(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_43]),
[final] ).
cnf(c_0_63,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_65,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_66,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),
[final] ).
cnf(c_0_67,negated_conjecture,
( equalish(X1,X2)
| ~ product2(X1,X3,X2)
| ~ product1(X3,X2,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_60]),
[final] ).
cnf(c_0_68,plain,
( product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),
[final] ).
cnf(c_0_70,plain,
( product1(X1,e_2,e_4)
| product1(X1,e_2,e_3)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_65]),
[final] ).
cnf(c_0_71,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_66]),
[final] ).
cnf(c_0_72,negated_conjecture,
( product2(e_1,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_59]),
[final] ).
cnf(c_0_73,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_74,plain,
( product2(X1,e_3,e_4)
| product2(X1,e_3,e_3)
| product2(X1,e_3,e_2)
| product2(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_30]),
[final] ).
cnf(c_0_75,plain,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_69]),c_0_63]),
[final] ).
cnf(c_0_77,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_78,negated_conjecture,
( equalish(X1,X2)
| ~ product2(X2,X3,X1)
| ~ product1(X3,X2,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_60]),
[final] ).
cnf(c_0_79,negated_conjecture,
( product2(e_2,e_4,e_3)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_45]),
[final] ).
cnf(c_0_80,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_81,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_72]),c_0_73]),
[final] ).
cnf(c_0_83,plain,
( product2(X1,e_2,e_4)
| product2(X1,e_2,e_3)
| product2(X1,e_2,e_2)
| product2(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_65]),
[final] ).
cnf(c_0_84,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_75]),
[final] ).
cnf(c_0_85,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_30]),
[final] ).
cnf(c_0_86,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]),
[final] ).
cnf(c_0_87,plain,
( product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_76]),c_0_77]),
[final] ).
cnf(c_0_88,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_89,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_45]),
[final] ).
cnf(c_0_90,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_40]),
[final] ).
cnf(c_0_91,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]),
[final] ).
cnf(c_0_92,plain,
( product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_82]),c_0_37]),
[final] ).
cnf(c_0_94,plain,
( product2(e_4,e_3,e_1)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_40]),
[final] ).
cnf(c_0_95,plain,
( product1(X1,e_1,e_4)
| product1(X1,e_1,e_3)
| product1(X1,e_1,e_2)
| product1(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_34]),
[final] ).
cnf(c_0_97,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_100,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_92]),
[final] ).
cnf(c_0_101,plain,
( product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_93]),c_0_77]),
[final] ).
cnf(c_0_102,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_94]),
[final] ).
cnf(c_0_103,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_40]),
[final] ).
cnf(c_0_105,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_96]),c_0_97]),
[final] ).
cnf(c_0_106,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_98]),c_0_59]),
[final] ).
cnf(c_0_111,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_105]),
[final] ).
cnf(c_0_112,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_106]),
[final] ).
cnf(c_0_113,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_107]),c_0_97]),
[final] ).
cnf(c_0_114,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_108]),c_0_59]),
[final] ).
cnf(c_0_116,plain,
( product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_110]),c_0_63]),
[final] ).
cnf(c_0_118,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_92]),
[final] ).
cnf(c_0_119,negated_conjecture,
( product2(e_2,e_3,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_111,c_0_85]),
[final] ).
cnf(c_0_120,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_92]),c_0_63]),
[final] ).
cnf(c_0_121,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_55]),
[final] ).
cnf(c_0_122,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_114]),
[final] ).
cnf(c_0_123,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_115]),c_0_97]),
[final] ).
cnf(c_0_124,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_4,e_1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_116]),
[final] ).
cnf(c_0_125,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_117]),c_0_37]),
[final] ).
cnf(c_0_126,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_45]),
[final] ).
cnf(c_0_127,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_65]),
[final] ).
cnf(c_0_128,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_129,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_85]),
[final] ).
cnf(c_0_130,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_65]),
[final] ).
cnf(c_0_132,plain,
( product2(X1,e_1,e_4)
| product2(X1,e_1,e_3)
| product2(X1,e_1,e_2)
| product2(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_34]),
[final] ).
cnf(c_0_133,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_121]),
[final] ).
cnf(c_0_134,plain,
( product2(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_68]),
[final] ).
cnf(c_0_135,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_55]),
[final] ).
cnf(c_0_139,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_131]),c_0_59]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_133,c_0_90]),
[final] ).
cnf(c_0_142,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_128]),
[final] ).
cnf(c_0_143,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_136]),c_0_59]),
[final] ).
cnf(c_0_146,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_85]),
[final] ).
cnf(c_0_147,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_30]),
[final] ).
cnf(c_0_148,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_139]),c_0_73]),
[final] ).
cnf(c_0_149,plain,
( product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_140]),c_0_37]),
[final] ).
cnf(c_0_152,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_141]),
[final] ).
cnf(c_0_153,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_142]),c_0_73]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_143]),
[final] ).
cnf(c_0_155,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_127]),
[final] ).
cnf(c_0_157,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_130]),
[final] ).
cnf(c_0_160,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_149]),
[final] ).
cnf(c_0_161,plain,
( product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_150]),c_0_77]),
[final] ).
cnf(c_0_164,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_154,c_0_125]),
[final] ).
cnf(c_0_165,negated_conjecture,
( product2(e_1,e_4,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]),
[final] ).
cnf(c_0_166,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_101]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product2(e_1,e_3,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_101]),c_0_63]),
[final] ).
cnf(c_0_171,plain,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_162]),c_0_63]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_164]),
[final] ).
cnf(c_0_174,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_175,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_165]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_135]),c_0_59]),
[final] ).
cnf(c_0_177,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_80]),c_0_168]),
[final] ).
cnf(c_0_178,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_169]),c_0_97]),
[final] ).
cnf(c_0_179,plain,
( product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_75]),
[final] ).
cnf(c_0_181,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_94]),
[final] ).
cnf(c_0_182,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_65]),
[final] ).
cnf(c_0_183,plain,
( product2(e_3,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_170]),c_0_59]),
[final] ).
cnf(c_0_184,plain,
( product2(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_171]),
[final] ).
cnf(c_0_185,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_172]),c_0_128]),
[final] ).
cnf(c_0_188,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_139]),
[final] ).
cnf(c_0_189,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_177]),c_0_128]),
[final] ).
cnf(c_0_190,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_178]),
[final] ).
cnf(c_0_191,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_121]),c_0_128]),
[final] ).
cnf(c_0_192,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_180]),c_0_77]),
[final] ).
cnf(c_0_194,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_183]),
[final] ).
cnf(c_0_195,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_77]),
[final] ).
cnf(c_0_198,plain,
( product2(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_68]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product2(e_3,e_2,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_192]),
[final] ).
cnf(c_0_202,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_125]),
[final] ).
cnf(c_0_205,plain,
( product2(e_3,e_4,e_1)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_30]),
[final] ).
cnf(c_0_206,negated_conjecture,
( product2(e_4,e_3,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_196]),c_0_97]),
[final] ).
cnf(c_0_207,negated_conjecture,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_197]),c_0_128]),
[final] ).
cnf(c_0_208,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_114]),
[final] ).
cnf(c_0_209,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_79]),c_0_77]),c_0_72]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_201]),
[final] ).
cnf(c_0_214,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_203]),c_0_97]),
[final] ).
cnf(c_0_215,plain,
( product2(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_171]),
[final] ).
cnf(c_0_216,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_204]),c_0_174]),
[final] ).
cnf(c_0_217,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_205]),
[final] ).
cnf(c_0_218,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_65]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_206]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_207]),c_0_77]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_97]),
[final] ).
cnf(c_0_222,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_191]),
[final] ).
cnf(c_0_223,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_210]),c_0_97]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_147]),
[final] ).
cnf(c_0_225,plain,
( product1(e_4,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_211]),c_0_128]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_192]),
[final] ).
cnf(c_0_228,plain,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_213]),c_0_59]),
[final] ).
cnf(c_0_229,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_214]),
[final] ).
cnf(c_0_230,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_128]),
[final] ).
cnf(c_0_231,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_103]),
[final] ).
cnf(c_0_232,plain,
( product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_30]),
[final] ).
cnf(c_0_235,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_221]),
[final] ).
cnf(c_0_237,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_114]),c_0_73]),
[final] ).
cnf(c_0_239,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_205]),
[final] ).
cnf(c_0_240,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_206]),
[final] ).
cnf(c_0_242,negated_conjecture,
( product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]),
[final] ).
cnf(c_0_249,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_237]),c_0_97]),c_0_238]),
[final] ).
cnf(c_0_251,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_206]),c_0_55]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_139]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_209]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_241]),c_0_97]),
[final] ).
cnf(c_0_256,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_242]),
[final] ).
cnf(c_0_257,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_243]),c_0_73]),
[final] ).
cnf(c_0_258,plain,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_244]),c_0_128]),
[final] ).
cnf(c_0_259,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_245]),c_0_97]),
[final] ).
cnf(c_0_260,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_246]),c_0_59]),
[final] ).
cnf(c_0_262,plain,
( product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_116]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_248]),c_0_128]),
[final] ).
cnf(c_0_264,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_249]),c_0_128]),
[final] ).
cnf(c_0_266,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_251]),c_0_128]),
[final] ).
cnf(c_0_267,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_113]),
[final] ).
cnf(c_0_269,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_253]),c_0_59]),
[final] ).
cnf(c_0_270,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_228]),
[final] ).
cnf(c_0_274,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_258]),c_0_77]),
[final] ).
cnf(c_0_275,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_259]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_260]),
[final] ).
cnf(c_0_278,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_225]),c_0_77]),
[final] ).
cnf(c_0_279,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_77]),
[final] ).
cnf(c_0_280,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_264]),
[final] ).
cnf(c_0_281,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_265]),c_0_97]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_189]),
[final] ).
cnf(c_0_283,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_266]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_267,c_0_39]),
[final] ).
cnf(c_0_285,negated_conjecture,
( product2(e_4,e_1,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_171]),c_0_97]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_268]),c_0_128]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_269]),
[final] ).
cnf(c_0_289,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_143]),
[final] ).
cnf(c_0_291,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_272]),c_0_128]),
[final] ).
cnf(c_0_292,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_123]),
[final] ).
cnf(c_0_293,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_273]),c_0_59]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_276,c_0_116]),
[final] ).
cnf(c_0_298,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_277]),c_0_51]),
[final] ).
cnf(c_0_299,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_278]),
[final] ).
cnf(c_0_300,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_279]),
[final] ).
cnf(c_0_301,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_183]),
[final] ).
cnf(c_0_305,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_284]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_308,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_286]),c_0_77]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_287,c_0_116]),
[final] ).
cnf(c_0_310,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_218]),
[final] ).
cnf(c_0_311,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_288]),c_0_51]),
[final] ).
cnf(c_0_312,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_242]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_223]),
[final] ).
cnf(c_0_314,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_228]),
[final] ).
cnf(c_0_316,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_290]),c_0_51]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_178]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_291]),c_0_77]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_164]),
[final] ).
cnf(c_0_321,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_149]),
[final] ).
cnf(c_0_322,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_294]),c_0_174]),
[final] ).
cnf(c_0_323,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_123]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_296]),c_0_174]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_298]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_260]),c_0_51]),
[final] ).
cnf(c_0_329,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_87]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_260]),c_0_51]),
[final] ).
cnf(c_0_331,plain,
( product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_75]),
[final] ).
cnf(c_0_333,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_101]),
[final] ).
cnf(c_0_334,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_281]),c_0_55]),
[final] ).
cnf(c_0_335,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_302]),c_0_73]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_303]),c_0_73]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_304]),c_0_73]),
[final] ).
cnf(c_0_338,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_305]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_281]),c_0_37]),
[final] ).
cnf(c_0_345,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_311]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_182]),c_0_128]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product2(e_2,e_1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_313,c_0_75]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_223]),c_0_55]),
[final] ).
cnf(c_0_349,plain,
( product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_116]),
[final] ).
cnf(c_0_350,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_178]),c_0_55]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_315]),c_0_128]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_316]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product2(e_2,e_1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_317,c_0_75]),
[final] ).
cnf(c_0_356,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_320]),c_0_128]),
[final] ).
cnf(c_0_358,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_85]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_90]),
[final] ).
cnf(c_0_361,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_324]),c_0_128]),
[final] ).
cnf(c_0_364,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_327,c_0_39]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_298]),c_0_55]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_328]),
[final] ).
cnf(c_0_368,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_330]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_330]),c_0_77]),
[final] ).
cnf(c_0_370,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_332]),c_0_174]),
[final] ).
cnf(c_0_371,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_37]),
[final] ).
cnf(c_0_377,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_340]),c_0_128]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_341]),c_0_128]),
[final] ).
cnf(c_0_379,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_125]),
[final] ).
cnf(c_0_380,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_214]),c_0_55]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_342]),c_0_174]),
[final] ).
cnf(c_0_382,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_259]),c_0_55]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_263]),
[final] ).
cnf(c_0_385,plain,
( product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_344]),c_0_128]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_39]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_225]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_38,c_0_348]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_87]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_311]),c_0_55]),
[final] ).
cnf(c_0_395,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_350]),
[final] ).
cnf(c_0_397,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_351]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product2(e_2,e_1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_39]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_354]),c_0_174]),
[final] ).
cnf(c_0_401,axiom,
( product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
row_surjectivity,
[final] ).
cnf(c_0_402,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_316]),c_0_55]),
[final] ).
cnf(c_0_403,axiom,
( product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
column_surjectivity,
[final] ).
cnf(c_0_404,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_355]),c_0_128]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_38,c_0_228]),
[final] ).
cnf(c_0_406,axiom,
( equalish(X3,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X2,X4) ),
product1_total_function2,
[final] ).
cnf(c_0_407,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_356]),c_0_77]),
[final] ).
cnf(c_0_408,plain,
( product2(e_3,e_1,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_357]),c_0_59]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product2(e_1,e_2,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_358,c_0_330]),
[final] ).
cnf(c_0_410,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_359,c_0_328]),
[final] ).
cnf(c_0_411,negated_conjecture,
( equalish(X1,e_4)
| ~ product2(e_1,X1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_72]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_360]),c_0_128]),
[final] ).
cnf(c_0_413,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_361]),c_0_77]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_362]),c_0_59]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_363]),c_0_97]),
[final] ).
cnf(c_0_416,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_364]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_285]),c_0_174]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_365]),c_0_128]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product2(e_3,e_1,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_370]),c_0_128]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product2(e_1,e_3,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_359,c_0_350]),
[final] ).
cnf(c_0_423,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_371]),c_0_128]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_372]),c_0_59]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_373]),c_0_59]),
[final] ).
cnf(c_0_426,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_374]),c_0_59]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_375]),c_0_128]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_376]),c_0_59]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_377]),c_0_77]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_378]),c_0_77]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product2(e_4,e_2,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_379,c_0_348]),
[final] ).
cnf(c_0_432,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_380]),c_0_128]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_381]),c_0_128]),
[final] ).
cnf(c_0_434,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_382]),c_0_128]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_214]),c_0_55]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product2(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_383]),c_0_97]),
[final] ).
cnf(c_0_437,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_384,c_0_87]),
[final] ).
cnf(c_0_438,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_385]),c_0_77]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_386]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_387]),c_0_128]),
[final] ).
cnf(c_0_441,negated_conjecture,
( equalish(X1,e_1)
| ~ product2(e_4,X1,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_285]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_388]),c_0_59]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_389]),c_0_59]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_390,c_0_87]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_391,c_0_392]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product2(e_4,e_3,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_393,c_0_147]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_394]),c_0_128]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_395,c_0_396]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_397,c_0_87]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product2(e_4,e_2,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_127]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product2(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_398]),c_0_128]),c_0_285]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product2(e_3,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_399]),c_0_59]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_400]),c_0_128]),
[final] ).
cnf(c_0_454,plain,
( product(e_4,X1,e_1)
| product(e_3,X1,e_1)
| product(e_2,X1,e_1)
| product(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_401,c_0_34]),
[final] ).
cnf(c_0_455,plain,
( product(e_4,X1,e_2)
| product(e_3,X1,e_2)
| product(e_2,X1,e_2)
| product(e_1,X1,e_2)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_401,c_0_65]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_402]),c_0_128]),
[final] ).
cnf(c_0_457,plain,
( product(e_4,X1,e_3)
| product(e_3,X1,e_3)
| product(e_2,X1,e_3)
| product(e_1,X1,e_3)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_401,c_0_30]),
[final] ).
cnf(c_0_458,plain,
( product(e_4,X1,e_4)
| product(e_3,X1,e_4)
| product(e_2,X1,e_4)
| product(e_1,X1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_401,c_0_40]),
[final] ).
cnf(c_0_459,plain,
( product(X1,e_4,e_1)
| product(X1,e_3,e_1)
| product(X1,e_2,e_1)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_403,c_0_34]),
[final] ).
cnf(c_0_460,plain,
( product(X1,e_4,e_2)
| product(X1,e_3,e_2)
| product(X1,e_2,e_2)
| product(X1,e_1,e_2)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_403,c_0_65]),
[final] ).
cnf(c_0_461,plain,
( product(X1,e_4,e_3)
| product(X1,e_3,e_3)
| product(X1,e_2,e_3)
| product(X1,e_1,e_3)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_403,c_0_30]),
[final] ).
cnf(c_0_462,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_1,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_404]),c_0_77]),
[final] ).
cnf(c_0_463,plain,
( product(X1,e_4,e_4)
| product(X1,e_3,e_4)
| product(X1,e_2,e_4)
| product(X1,e_1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_403,c_0_40]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product2(e_3,e_2,e_4)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_130]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_405,c_0_116]),
[final] ).
cnf(c_0_466,negated_conjecture,
( equalish(X1,X2)
| ~ product2(X3,X1,X3)
| ~ product1(X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_46,c_0_60]),
[final] ).
cnf(c_0_469,plain,
( equalish(X1,X2)
| ~ product1(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_32]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_407]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_407]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_407]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_356]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_356]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_356]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_407]),c_0_174]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_356]),c_0_97]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_356]),c_0_51]),
[final] ).
cnf(c_0_479,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_408]),
[final] ).
cnf(c_0_480,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_408]),
[final] ).
cnf(c_0_481,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_408]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_408]),c_0_80]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_409]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_409]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_409]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_410]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_410]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_410]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_409]),c_0_63]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_409]),c_0_55]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_410]),c_0_51]),c_0_81]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_410]),c_0_73]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_410]),c_0_77]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_293]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_293]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_293]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_293]),c_0_51]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_293]),c_0_77]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_257]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_257]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_257]),
[final] ).
cnf(c_0_502,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_257]),c_0_128]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_412]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_412]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_412]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_412]),c_0_97]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_412]),c_0_51]),
[final] ).
cnf(c_0_508,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_230]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_230]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_230]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_216]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_216]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_216]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_216]),c_0_88]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_195]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_195]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_195]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_185]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_185]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_185]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_185]),c_0_97]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_185]),c_0_51]),
[final] ).
cnf(c_0_523,plain,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_413]),
[final] ).
cnf(c_0_524,plain,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_413]),
[final] ).
cnf(c_0_525,plain,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_413]),
[final] ).
cnf(c_0_526,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_361]),
[final] ).
cnf(c_0_527,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_361]),
[final] ).
cnf(c_0_528,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_361]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_413]),c_0_174]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_361]),c_0_97]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_361]),c_0_51]),
[final] ).
cnf(c_0_532,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_322]),
[final] ).
cnf(c_0_533,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_322]),
[final] ).
cnf(c_0_534,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_322]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_322]),c_0_51]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_414]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_414]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_414]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_414]),c_0_51]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_414]),c_0_77]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_415]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_415]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_415]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_415]),c_0_88]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_325]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_325]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_325]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_325]),c_0_128]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_416]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_416]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_416]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_364]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_364]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_364]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_364]),c_0_80]),c_0_417]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_418]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_365]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_418]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_418]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_418]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_365]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_365]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_365]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_298]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_298]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_298]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_419]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_419]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_419]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_369]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_420]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_420]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_420]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_420]),c_0_97]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_369]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_369]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_369]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_297]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_297]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_297]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_330]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_330]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| product1(e_4,e_1,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_297]),c_0_73]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_330]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_328]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_328]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_328]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_260]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_260]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_260]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_421]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_421]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_421]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_370]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_370]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_370]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_370]),c_0_88]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_220]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_220]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_220]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_207]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_207]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_207]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_220]),c_0_174]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_207]),c_0_97]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_207]),c_0_51]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_422]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_422]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_422]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_422]),c_0_51]),c_0_81]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_422]),c_0_73]),
[final] ).
cnf(c_0_612,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_423]),
[final] ).
cnf(c_0_613,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_423]),
[final] ).
cnf(c_0_614,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_423]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_1,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_423]),c_0_73]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_424]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_424]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_424]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_424]),c_0_80]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_424]),c_0_88]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_425]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_425]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_425]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_425]),c_0_80]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_425]),c_0_88]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_426]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_426]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_426]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_426]),c_0_80]),
[final] ).
cnf(c_0_630,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_371]),
[final] ).
cnf(c_0_631,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_371]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_427]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_427]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_427]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_427]),c_0_97]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_427]),c_0_51]),
[final] ).
cnf(c_0_637,plain,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_371]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_371]),c_0_37]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_428]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_428]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_428]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_428]),c_0_80]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_428]),c_0_88]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_429]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_429]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_429]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_377]),
[final] ).
cnf(c_0_648,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_377]),
[final] ).
cnf(c_0_649,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_377]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_377]),c_0_88]),
[final] ).
cnf(c_0_651,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_430]),
[final] ).
cnf(c_0_652,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_430]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_430]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_378]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_378]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_378]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_378]),c_0_88]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_335]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_335]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_335]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_335]),c_0_51]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_336]),
[final] ).
cnf(c_0_663,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_336]),
[final] ).
cnf(c_0_664,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_336]),
[final] ).
cnf(c_0_665,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_336]),c_0_51]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_337]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_337]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_337]),
[final] ).
cnf(c_0_669,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_337]),c_0_51]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_431]),
[final] ).
cnf(c_0_671,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_431]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_431]),
[final] ).
cnf(c_0_673,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_431]),c_0_55]),
[final] ).
cnf(c_0_674,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_431]),c_0_63]),
[final] ).
cnf(c_0_675,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_432]),
[final] ).
cnf(c_0_676,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_432]),
[final] ).
cnf(c_0_677,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_432]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| product2(e_1,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_432]),c_0_73]),
[final] ).
cnf(c_0_679,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_142]),
[final] ).
cnf(c_0_680,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_142]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_433]),
[final] ).
cnf(c_0_682,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_433]),
[final] ).
cnf(c_0_683,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_433]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_381]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_381]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_381]),
[final] ).
cnf(c_0_687,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_381]),c_0_88]),
[final] ).
cnf(c_0_688,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| product2(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_142]),
[final] ).
cnf(c_0_689,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_274]),
[final] ).
cnf(c_0_690,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_274]),
[final] ).
cnf(c_0_691,plain,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_274]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_274]),c_0_174]),
[final] ).
cnf(c_0_693,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_434]),
[final] ).
cnf(c_0_694,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_434]),
[final] ).
cnf(c_0_695,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| product2(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_434]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_435]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_435]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_436]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_436]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_436]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_435]),
[final] ).
cnf(c_0_702,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_380]),
[final] ).
cnf(c_0_703,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_380]),
[final] ).
cnf(c_0_704,plain,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_380]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_435]),c_0_128]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_380]),c_0_59]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_380]),c_0_37]),
[final] ).
cnf(c_0_708,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_135]),
[final] ).
cnf(c_0_709,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_135]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_308]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_308]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_308]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_286]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_286]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_286]),
[final] ).
cnf(c_0_716,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_308]),c_0_174]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_286]),c_0_97]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_286]),c_0_51]),
[final] ).
cnf(c_0_719,plain,
( product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_135]),
[final] ).
cnf(c_0_720,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_258]),
[final] ).
cnf(c_0_721,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_258]),
[final] ).
cnf(c_0_722,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_258]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_258]),c_0_51]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_437]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_437]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_437]),
[final] ).
cnf(c_0_727,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_438]),
[final] ).
cnf(c_0_728,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_438]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_437]),c_0_88]),c_0_417]),
[final] ).
cnf(c_0_730,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_438]),
[final] ).
cnf(c_0_731,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_382]),
[final] ).
cnf(c_0_732,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_382]),
[final] ).
cnf(c_0_733,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_382]),
[final] ).
cnf(c_0_734,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_334]),
[final] ).
cnf(c_0_735,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_334]),
[final] ).
cnf(c_0_736,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_334]),
[final] ).
cnf(c_0_737,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_439]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_439]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_439]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_339]),
[final] ).
cnf(c_0_741,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_339]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_382]),c_0_88]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_440]),
[final] ).
cnf(c_0_744,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_440]),
[final] ).
cnf(c_0_745,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_440]),
[final] ).
cnf(c_0_746,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_440]),c_0_88]),
[final] ).
cnf(c_0_747,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_214]),
[final] ).
cnf(c_0_748,plain,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_214]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_214]),c_0_37]),
[final] ).
cnf(c_0_750,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_214]),c_0_128]),
[final] ).
cnf(c_0_751,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_339]),
[final] ).
cnf(c_0_752,plain,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_123]),
[final] ).
cnf(c_0_753,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_123]),c_0_37]),
[final] ).
cnf(c_0_754,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_123]),c_0_174]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_123]),c_0_128]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_334]),c_0_51]),
[final] ).
cnf(c_0_757,negated_conjecture,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_339]),c_0_51]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_442]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_442]),
[final] ).
cnf(c_0_760,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_442]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_442]),c_0_51]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_443]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_443]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_443]),
[final] ).
cnf(c_0_765,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_443]),c_0_88]),
[final] ).
cnf(c_0_766,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_385]),
[final] ).
cnf(c_0_767,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_385]),
[final] ).
cnf(c_0_768,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_385]),
[final] ).
cnf(c_0_769,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_279]),
[final] ).
cnf(c_0_770,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_279]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_279]),
[final] ).
cnf(c_0_772,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_263]),
[final] ).
cnf(c_0_773,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_263]),
[final] ).
cnf(c_0_774,negated_conjecture,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_263]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_385]),c_0_88]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_386]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_386]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_386]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_386]),c_0_80]),c_0_417]),
[final] ).
cnf(c_0_780,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_259]),
[final] ).
cnf(c_0_781,plain,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_259]),
[final] ).
cnf(c_0_782,negated_conjecture,
( product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_259]),c_0_88]),
[final] ).
cnf(c_0_783,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_281]),
[final] ).
cnf(c_0_784,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_281]),
[final] ).
cnf(c_0_785,plain,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_281]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_281]),c_0_80]),
[final] ).
cnf(c_0_787,negated_conjecture,
( product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_281]),c_0_88]),
[final] ).
cnf(c_0_788,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_444]),
[final] ).
cnf(c_0_789,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_444]),
[final] ).
cnf(c_0_790,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_444]),
[final] ).
cnf(c_0_791,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_264]),
[final] ).
cnf(c_0_792,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_264]),
[final] ).
cnf(c_0_793,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_249]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_264]),c_0_73]),
[final] ).
cnf(c_0_795,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_249]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_249]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_249]),c_0_59]),
[final] ).
cnf(c_0_798,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_249]),c_0_37]),
[final] ).
cnf(c_0_799,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_2,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_444]),c_0_88]),c_0_417]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_305]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_305]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_445]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_445]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_445]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_445]),c_0_59]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_446]),c_0_128]),
[final] ).
cnf(c_0_807,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_347]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_347]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_347]),
[final] ).
cnf(c_0_810,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_446]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_347]),c_0_174]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_348]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_348]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_348]),
[final] ).
cnf(c_0_815,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_446]),
[final] ).
cnf(c_0_816,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_223]),
[final] ).
cnf(c_0_817,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_223]),
[final] ).
cnf(c_0_818,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_223]),
[final] ).
cnf(c_0_819,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_446]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_447]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_394]),
[final] ).
cnf(c_0_822,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_447]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_447]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_447]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_394]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_394]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_394]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_311]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_311]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_311]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_448]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_448]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_448]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_141]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_141]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_449]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_449]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_449]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_141]),c_0_88]),c_0_81]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_284]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_165]),
[final] ).
cnf(c_0_842,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_165]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_165]),c_0_59]),
[final] ).
cnf(c_0_844,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_450]),c_0_51]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_450]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_237]),
[final] ).
cnf(c_0_847,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_237]),
[final] ).
cnf(c_0_848,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_237]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_450]),
[final] ).
cnf(c_0_850,negated_conjecture,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_237]),c_0_73]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_278]),
[final] ).
cnf(c_0_852,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_278]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_450]),
[final] ).
cnf(c_0_854,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_278]),
[final] ).
cnf(c_0_855,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_225]),
[final] ).
cnf(c_0_856,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_225]),
[final] ).
cnf(c_0_857,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_225]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_284]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_284]),
[final] ).
cnf(c_0_860,negated_conjecture,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_284]),c_0_80]),c_0_417]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_189]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_189]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_177]),
[final] ).
cnf(c_0_864,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_177]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_177]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_189]),c_0_73]),
[final] ).
cnf(c_0_867,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_177]),c_0_59]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_177]),c_0_37]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_255]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_255]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_255]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_255]),c_0_88]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_451]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_451]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_451]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_452]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_452]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_452]),
[final] ).
cnf(c_0_879,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_452]),c_0_88]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_191]),
[final] ).
cnf(c_0_881,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_191]),
[final] ).
cnf(c_0_882,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_191]),
[final] ).
cnf(c_0_883,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_121]),
[final] ).
cnf(c_0_884,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_121]),
[final] ).
cnf(c_0_885,plain,
( product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_121]),
[final] ).
cnf(c_0_886,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_351]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_351]),
[final] ).
cnf(c_0_888,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_351]),
[final] ).
cnf(c_0_889,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_113]),
[final] ).
cnf(c_0_890,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_113]),
[final] ).
cnf(c_0_891,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_113]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_167]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_167]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_167]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_167]),c_0_63]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_167]),c_0_55]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_398]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_398]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_398]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_3,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_398]),c_0_80]),c_0_417]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_353]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_353]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_353]),
[final] ).
cnf(c_0_904,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_353]),c_0_174]),
[final] ).
cnf(c_0_905,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_350]),
[final] ).
cnf(c_0_906,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_350]),
[final] ).
cnf(c_0_907,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_350]),
[final] ).
cnf(c_0_908,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_2)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_178]),
[final] ).
cnf(c_0_909,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_178]),
[final] ).
cnf(c_0_910,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_453]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_453]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_453]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_400]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_400]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_400]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product2(e_2,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_400]),c_0_88]),
[final] ).
cnf(c_0_917,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_34]),
[final] ).
cnf(c_0_918,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_65]),
[final] ).
cnf(c_0_919,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_30]),
[final] ).
cnf(c_0_920,plain,
( product(e_1,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_40]),
[final] ).
cnf(c_0_921,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_34]),
[final] ).
cnf(c_0_922,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_456]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_402]),
[final] ).
cnf(c_0_924,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_456]),
[final] ).
cnf(c_0_925,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_456]),
[final] ).
cnf(c_0_926,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_1,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_456]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_402]),
[final] ).
cnf(c_0_928,plain,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_65]),
[final] ).
cnf(c_0_929,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_402]),
[final] ).
cnf(c_0_930,negated_conjecture,
( product1(e_1,e_2,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_31,c_0_402]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_221]),
[final] ).
cnf(c_0_932,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_30]),
[final] ).
cnf(c_0_933,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_221]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_79]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_79]),
[final] ).
cnf(c_0_936,plain,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_40]),
[final] ).
cnf(c_0_937,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_316]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_316]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_316]),
[final] ).
cnf(c_0_940,plain,
( product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_457,c_0_34]),
[final] ).
cnf(c_0_941,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_221]),c_0_59]),
[final] ).
cnf(c_0_942,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_4)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_221]),c_0_37]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_209]),
[final] ).
cnf(c_0_944,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_457,c_0_65]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_209]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_79]),
[final] ).
cnf(c_0_947,plain,
( product(e_1,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_457,c_0_30]),
[final] ).
cnf(c_0_948,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_457,c_0_40]),
[final] ).
cnf(c_0_949,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_66]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_2)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_66]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_66]),
[final] ).
cnf(c_0_952,plain,
( product(e_1,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_34]),
[final] ).
cnf(c_0_953,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_65]),
[final] ).
cnf(c_0_954,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_30]),
[final] ).
cnf(c_0_955,plain,
( product(e_1,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_40]),
[final] ).
cnf(c_0_956,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_309]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_309]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_309]),
[final] ).
cnf(c_0_959,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_4,e_1,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_309]),c_0_73]),
[final] ).
cnf(c_0_960,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_34]),
[final] ).
cnf(c_0_961,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_269]),
[final] ).
cnf(c_0_962,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_65]),
[final] ).
cnf(c_0_963,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_269]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_269]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_139]),
[final] ).
cnf(c_0_966,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_30]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_139]),c_0_51]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_139]),c_0_77]),
[final] ).
cnf(c_0_969,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_346]),
[final] ).
cnf(c_0_970,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_40]),
[final] ).
cnf(c_0_971,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_232]),
[final] ).
cnf(c_0_972,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_232]),
[final] ).
cnf(c_0_973,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_232]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_346]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_318]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_318]),
[final] ).
cnf(c_0_977,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_460,c_0_34]),
[final] ).
cnf(c_0_978,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_103]),
[final] ).
cnf(c_0_979,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_103]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_318]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_291]),
[final] ).
cnf(c_0_982,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_460,c_0_65]),
[final] ).
cnf(c_0_983,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_460,c_0_30]),
[final] ).
cnf(c_0_984,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_182]),
[final] ).
cnf(c_0_985,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_182]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_291]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_291]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_318]),c_0_174]),
[final] ).
cnf(c_0_989,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_460,c_0_40]),
[final] ).
cnf(c_0_990,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_291]),c_0_97]),
[final] ).
cnf(c_0_991,negated_conjecture,
( product2(e_4,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_291]),c_0_51]),
[final] ).
cnf(c_0_992,negated_conjecture,
( product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_346]),
[final] ).
cnf(c_0_993,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_461,c_0_34]),
[final] ).
cnf(c_0_994,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_182]),
[final] ).
cnf(c_0_995,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_266]),
[final] ).
cnf(c_0_996,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_461,c_0_65]),
[final] ).
cnf(c_0_997,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_94]),
[final] ).
cnf(c_0_998,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_266]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_251]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_251]),
[final] ).
cnf(c_0_1001,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_461,c_0_30]),
[final] ).
cnf(c_0_1002,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_218]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_251]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_266]),c_0_73]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_251]),c_0_59]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_251]),c_0_37]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_206]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_206]),c_0_37]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_206]),c_0_128]),
[final] ).
cnf(c_0_1010,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_461,c_0_40]),
[final] ).
cnf(c_0_1011,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_218]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_462]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_462]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_462]),
[final] ).
cnf(c_0_1015,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_463,c_0_34]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_404]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_404]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_404]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product2(e_2,e_4,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_404]),c_0_88]),
[final] ).
cnf(c_0_1020,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_463,c_0_65]),
[final] ).
cnf(c_0_1021,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_205]),
[final] ).
cnf(c_0_1022,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_147]),
[final] ).
cnf(c_0_1023,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_147]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_464]),
[final] ).
cnf(c_0_1025,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_463,c_0_30]),
[final] ).
cnf(c_0_1026,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_147]),
[final] ).
cnf(c_0_1027,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_90]),
[final] ).
cnf(c_0_1028,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_90]),
[final] ).
cnf(c_0_1029,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_90]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_464]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_464]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_4)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_464]),c_0_97]),
[final] ).
cnf(c_0_1033,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_463,c_0_40]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_38,c_0_45]),
[final] ).
cnf(c_0_1035,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_127]),
[final] ).
cnf(c_0_1036,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_127]),
[final] ).
cnf(c_0_1037,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_127]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_119]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_119]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_119]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_465]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_465]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_465]),
[final] ).
cnf(c_0_1044,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_45]),
[final] ).
cnf(c_0_1045,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_183]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| ~ product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_183]),c_0_88]),
[final] ).
cnf(c_0_1047,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_114]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_114]),c_0_51]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_114]),c_0_77]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_1,e_2)
| ~ product1(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_465]),c_0_73]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_201]),
[final] ).
cnf(c_0_1052,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_161]),
[final] ).
cnf(c_0_1053,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_161]),
[final] ).
cnf(c_0_1054,plain,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_161]),
[final] ).
cnf(c_0_1055,plain,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_149]),
[final] ).
cnf(c_0_1056,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_130]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( equalish(X1,e_4)
| ~ product2(X1,e_1,e_2)
| ~ product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_285]),
[final] ).
cnf(c_0_1058,plain,
( product2(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_171]),
[final] ).
cnf(c_0_1059,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_130]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( equalish(X1,e_2)
| ~ product2(e_4,e_1,X1)
| ~ product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_42,c_0_285]),
[final] ).
cnf(c_0_1061,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_130]),
[final] ).
cnf(c_0_1062,plain,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_101]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_101]),c_0_55]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_232]),c_0_37]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_201]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_103]),c_0_55]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_182]),c_0_77]),
[final] ).
cnf(c_0_1068,plain,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_92]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_92]),c_0_55]),
[final] ).
cnf(c_0_1070,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_85]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_94]),c_0_55]),
[final] ).
cnf(c_0_1072,plain,
( product2(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_68]),
[final] ).
cnf(c_0_1073,negated_conjecture,
( equalish(X1,e_1)
| ~ product2(X1,e_4,e_2)
| ~ product1(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_72]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( equalish(X1,e_2)
| ~ product2(e_1,e_4,X1)
| ~ product1(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_42,c_0_72]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_242]),
[final] ).
cnf(c_0_1076,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_228]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_242]),c_0_55]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_242]),c_0_63]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_201]),c_0_37]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| ~ product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_201]),c_0_59]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_164]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_164]),c_0_77]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_164]),c_0_73]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_143]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_143]),
[final] ).
cnf(c_0_1086,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_192]),
[final] ).
cnf(c_0_1087,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_192]),
[final] ).
cnf(c_0_1088,plain,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_192]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_105]),
[final] ).
cnf(c_0_1090,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_125]),
[final] ).
cnf(c_0_1091,plain,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_125]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_38,c_0_106]),
[final] ).
cnf(c_0_1093,plain,
( product1(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_116]),
[final] ).
cnf(c_0_1094,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_106]),
[final] ).
cnf(c_0_1095,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_106]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_105]),
[final] ).
cnf(c_0_1097,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_87]),
[final] ).
cnf(c_0_1098,plain,
( product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_31,c_0_87]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_31,c_0_105]),
[final] ).
cnf(c_0_1100,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_39]),
[final] ).
cnf(c_0_1101,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_39]),
[final] ).
cnf(c_0_1102,plain,
( product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_406,c_0_75]),
[final] ).
cnf(c_0_1103,negated_conjecture,
( equalish(X1,X2)
| ~ product1(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_466,c_0_43]),
[final] ).
cnf(c_0_1104,negated_conjecture,
~ product1(e_1,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_467]),c_0_128]),
[final] ).
cnf(c_0_1105,negated_conjecture,
~ product1(e_4,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_468]),c_0_77]),
[final] ).
cnf(c_0_1106,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_469,c_0_32]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP123-9.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 02:35:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.t37kxsv3yg/E---3.1_18030.p
% 610.94/300.04 # Version: 3.1pre001
% 610.94/300.04 # Preprocessing class: FSMSSMSSSSSNFFN.
% 610.94/300.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 610.94/300.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 610.94/300.04 # Starting new_bool_3 with 300s (1) cores
% 610.94/300.04 # Starting new_bool_1 with 300s (1) cores
% 610.94/300.04 # Starting sh5l with 300s (1) cores
% 610.94/300.04 # sh5l with pid 18118 completed with status 1
% 610.94/300.04 # Result found by sh5l
% 610.94/300.04 # Preprocessing class: FSMSSMSSSSSNFFN.
% 610.94/300.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 610.94/300.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 610.94/300.04 # Starting new_bool_3 with 300s (1) cores
% 610.94/300.04 # Starting new_bool_1 with 300s (1) cores
% 610.94/300.04 # Starting sh5l with 300s (1) cores
% 610.94/300.04 # SinE strategy is gf500_gu_R04_F100_L20000
% 610.94/300.04 # Search class: FGUNS-FFMS00-SFFFFFNN
% 610.94/300.04 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 610.94/300.04 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 121s (1) cores
% 610.94/300.04 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 18125 completed with status 1
% 610.94/300.04 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 610.94/300.04 # Preprocessing class: FSMSSMSSSSSNFFN.
% 610.94/300.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 610.94/300.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 610.94/300.04 # Starting new_bool_3 with 300s (1) cores
% 610.94/300.04 # Starting new_bool_1 with 300s (1) cores
% 610.94/300.04 # Starting sh5l with 300s (1) cores
% 610.94/300.04 # SinE strategy is gf500_gu_R04_F100_L20000
% 610.94/300.04 # Search class: FGUNS-FFMS00-SFFFFFNN
% 610.94/300.04 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 610.94/300.04 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 121s (1) cores
% 610.94/300.04 # Preprocessing time : 0.001 s
% 610.94/300.04 # Presaturation interreduction done
% 610.94/300.04
% 610.94/300.04 # No proof found!
% 610.94/300.04 # SZS status Satisfiable
% 610.94/300.04 # SZS output start Saturation
% See solution above
% 610.94/300.05 # Parsed axioms : 29
% 610.94/300.05 # Removed by relevancy pruning/SinE : 0
% 610.94/300.05 # Initial clauses : 29
% 610.94/300.05 # Removed in clause preprocessing : 0
% 610.94/300.05 # Initial clauses in saturation : 29
% 610.94/300.05 # Processed clauses : 4331
% 610.94/300.05 # ...of these trivial : 0
% 610.94/300.05 # ...subsumed : 2960
% 610.94/300.05 # ...remaining for further processing : 1371
% 610.94/300.05 # Other redundant clauses eliminated : 0
% 610.94/300.05 # Clauses deleted for lack of memory : 0
% 610.94/300.05 # Backward-subsumed : 375
% 610.94/300.05 # Backward-rewritten : 0
% 610.94/300.05 # Generated clauses : 13036
% 610.94/300.05 # ...of the previous two non-redundant : 6959
% 610.94/300.05 # ...aggressively subsumed : 0
% 610.94/300.05 # Contextual simplify-reflections : 31
% 610.94/300.05 # Paramodulations : 13036
% 610.94/300.05 # Factorizations : 0
% 610.94/300.05 # NegExts : 0
% 610.94/300.05 # Equation resolutions : 0
% 610.94/300.05 # Total rewrite steps : 6088
% 610.94/300.05 # Propositional unsat checks : 0
% 610.94/300.05 # Propositional check models : 0
% 610.94/300.05 # Propositional check unsatisfiable : 0
% 610.94/300.05 # Propositional clauses : 0
% 610.94/300.05 # Propositional clauses after purity: 0
% 610.94/300.05 # Propositional unsat core size : 0
% 610.94/300.05 # Propositional preprocessing time : 0.000
% 610.94/300.05 # Propositional encoding time : 0.000
% 610.94/300.05 # Propositional solver time : 0.000
% 610.94/300.05 # Success case prop preproc time : 0.000
% 610.94/300.05 # Success case prop encoding time : 0.000
% 610.94/300.05 # Success case prop solver time : 0.000
% 610.94/300.05 # Current number of processed clauses : 967
% 610.94/300.05 # Positive orientable unit clauses : 7
% 610.94/300.05 # Positive unorientable unit clauses: 0
% 610.94/300.05 # Negative unit clauses : 14
% 610.94/300.05 # Non-unit-clauses : 946
% 610.94/300.05 # Current number of unprocessed clauses: 0
% 610.94/300.05 # ...number of literals in the above : 0
% 610.94/300.05 # Current number of archived formulas : 0
% 610.94/300.05 # Current number of archived clauses : 404
% 610.94/300.05 # Clause-clause subsumption calls (NU) : 249162
% 610.94/300.05 # Rec. Clause-clause subsumption calls : 11830
% 610.94/300.05 # Non-unit clause-clause subsumptions : 3252
% 610.94/300.05 # Unit Clause-clause subsumption calls : 20
% 610.94/300.05 # Rewrite failures with RHS unbound : 0
% 610.94/300.05 # BW rewrite match attempts : 13
% 610.94/300.05 # BW rewrite match successes : 0
% 610.94/300.05 # Condensation attempts : 0
% 610.94/300.05 # Condensation successes : 0
% 610.94/300.05 # Termbank termtop insertions : 296315
% 610.94/300.05
% 610.94/300.05 # -------------------------------------------------
% 610.94/300.05 # User time : 0.340 s
% 610.94/300.05 # System time : 0.005 s
% 610.94/300.05 # Total time : 0.345 s
% 610.94/300.05 # Maximum resident set size: 1824 pages
% 610.94/300.05
% 610.94/300.05 # -------------------------------------------------
% 610.94/300.05 # User time : 0.341 s
% 610.94/300.05 # System time : 0.008 s
% 610.94/300.05 # Total time : 0.349 s
% 610.94/300.05 # Maximum resident set size: 1992 pages
% 610.94/300.05 % E---3.1 exiting
%------------------------------------------------------------------------------