TSTP Solution File: GRP125-2.005 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 17:45:33 EDT 2023
% Result : Unsatisfiable 0.13s 0.53s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 30
% Syntax : Number of clauses : 321 ( 105 unt; 152 nHn; 319 RR)
% Number of literals : 818 ( 0 equ; 224 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_1_is_not_e_5) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',product_left_cancellation) ).
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',element_1) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',product_right_cancellation) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',element_5) ).
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',no_redundancy) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_5_greater_e_4) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_3_is_not_e_1) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_3_is_not_e_5) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_3_then_e_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',element_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_4_greater_e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_2_is_not_e_1) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_2_is_not_e_5) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_3_is_not_e_2) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_2_then_e_3) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',element_4) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_1_is_not_e_4) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',element_2) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_2_is_not_e_4) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',product_total_function2) ).
cnf(qg3,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',qg3) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_3_greater_e_2) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_1_then_e_2) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p',e_5_greater_e_2) ).
cnf(c_0_30,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5 ).
cnf(c_0_31,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_32,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_33,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_34,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,axiom,
product(X1,X1,X1),
product_idempotence ).
cnf(c_0_36,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_37,plain,
( product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_39,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy ).
cnf(c_0_41,axiom,
greater(e_5,e_4),
e_5_greater_e_4 ).
cnf(c_0_42,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_43,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5 ).
cnf(c_0_44,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_36]) ).
cnf(c_0_45,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_46,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_48,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_49,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_50,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_35])]) ).
cnf(c_0_51,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_52,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_53,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_54,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_55,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_56,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_57,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5 ).
cnf(c_0_58,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_60,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2 ).
cnf(c_0_61,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_54]) ).
cnf(c_0_62,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_63,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
cnf(c_0_64,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_31]) ).
cnf(c_0_65,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_66,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_67,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_31]) ).
cnf(c_0_68,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_31]) ).
cnf(c_0_70,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_71,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_73,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_64,c_0_35]) ).
cnf(c_0_74,plain,
( product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_65]) ).
cnf(c_0_75,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_36]) ).
cnf(c_0_76,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_31]) ).
cnf(c_0_77,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5 ).
cnf(c_0_78,plain,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_79,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_70]),c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_80,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_81,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_82,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_33]) ).
cnf(c_0_83,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_84,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_76,c_0_35]) ).
cnf(c_0_85,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_31]) ).
cnf(c_0_86,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_87,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_31]) ).
cnf(c_0_88,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_31]) ).
cnf(c_0_89,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_90,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
qg3 ).
cnf(c_0_91,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_65]),c_0_84]) ).
cnf(c_0_93,plain,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_94,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(X1,e_5,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_97,plain,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_94,c_0_35]) ).
cnf(c_0_98,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_99,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(X1,e_5,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_98]),c_0_35])]) ).
cnf(c_0_101,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_99,c_0_101]) ).
cnf(c_0_103,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_102]),c_0_35])]) ).
cnf(c_0_104,plain,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_68]),c_0_87]) ).
cnf(c_0_105,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_103]) ).
cnf(c_0_106,plain,
( product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_51]) ).
cnf(c_0_107,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_108,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_79]) ).
cnf(c_0_110,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_38]) ).
cnf(c_0_111,plain,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_107,c_0_35]) ).
cnf(c_0_112,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_113,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_108]),c_0_109]) ).
cnf(c_0_114,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_112]) ).
cnf(c_0_116,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_117,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_113]),c_0_109]) ).
cnf(c_0_118,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(X1,e_1,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_114]) ).
cnf(c_0_119,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_117]),c_0_119]) ).
cnf(c_0_122,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_123,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_122]),c_0_35])]) ).
cnf(c_0_124,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_123]),c_0_71]) ).
cnf(c_0_125,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_124]),c_0_97]) ).
cnf(c_0_126,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_125]),c_0_35])]) ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_4,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_126]) ).
cnf(c_0_128,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_36]) ).
cnf(c_0_129,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_130,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_5,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_1,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_124]) ).
cnf(c_0_132,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_38]) ).
cnf(c_0_133,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_128,c_0_35]) ).
cnf(c_0_134,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_36]) ).
cnf(c_0_135,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_79]) ).
cnf(c_0_136,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_129,c_0_50]) ).
cnf(c_0_137,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_139,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_70]) ).
cnf(c_0_140,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_88,c_0_35]) ).
cnf(c_0_141,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_35])]) ).
cnf(c_0_142,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_143,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_137]) ).
cnf(c_0_144,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_138]) ).
cnf(c_0_145,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
cnf(c_0_146,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_142]) ).
cnf(c_0_147,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_117]) ).
cnf(c_0_148,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_149,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_146,c_0_79]) ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_34,c_0_147]) ).
cnf(c_0_151,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_148]),c_0_35])]) ).
cnf(c_0_152,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_155,plain,
( product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_156,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_154]),c_0_35])]) ).
cnf(c_0_157,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_155,c_0_33]) ).
cnf(c_0_158,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_159,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_36]) ).
cnf(c_0_160,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_156]),c_0_145]) ).
cnf(c_0_161,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_162,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_70]) ).
cnf(c_0_163,plain,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_69,c_0_35]) ).
cnf(c_0_164,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_36]) ).
cnf(c_0_165,negated_conjecture,
( product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_166,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_161]),c_0_35])]) ).
cnf(c_0_167,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,negated_conjecture,
~ product(e_2,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_35])]) ).
cnf(c_0_169,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_36]) ).
cnf(c_0_170,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_137]) ).
cnf(c_0_171,plain,
( product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_70]) ).
cnf(c_0_172,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(X1,e_4,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_166]) ).
cnf(c_0_173,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_36]) ).
cnf(c_0_174,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_175,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_176,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_171,c_0_33]) ).
cnf(c_0_177,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_134,c_0_35]) ).
cnf(c_0_178,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_86]) ).
cnf(c_0_179,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_172,c_0_86]) ).
cnf(c_0_180,plain,
( product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_181,negated_conjecture,
( product(e_2,e_1,e_2)
| product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_79]) ).
cnf(c_0_182,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_183,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_184,plain,
~ product(e_2,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_180]),c_0_35])]) ).
cnf(c_0_185,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_5,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_186,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_149]),c_0_69]) ).
cnf(c_0_187,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_183]),c_0_184]) ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_169,c_0_117]) ).
cnf(c_0_189,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_171,c_0_38]) ).
cnf(c_0_190,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_169,c_0_35]) ).
cnf(c_0_191,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_44,c_0_79]) ).
cnf(c_0_192,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_164,c_0_147]) ).
cnf(c_0_193,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_185]) ).
cnf(c_0_194,axiom,
greater(e_5,e_2),
e_5_greater_e_2 ).
cnf(c_0_195,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188]) ).
cnf(c_0_196,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_197,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_89]) ).
cnf(c_0_198,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_155,c_0_70]) ).
cnf(c_0_199,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_200,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_191]),c_0_35])]) ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_5,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_202,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_194]) ).
cnf(c_0_203,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_195]),c_0_35])]) ).
cnf(c_0_204,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_196]) ).
cnf(c_0_205,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_197,c_0_35]) ).
cnf(c_0_206,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_198,c_0_199]),c_0_200]) ).
cnf(c_0_207,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_201]),c_0_35])]) ).
cnf(c_0_208,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_202,c_0_116]) ).
cnf(c_0_209,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_178,c_0_166]) ).
cnf(c_0_210,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_1,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_203]) ).
cnf(c_0_211,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_203]),c_0_205]) ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(X1,e_1,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_206]) ).
cnf(c_0_213,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_207]),c_0_208]) ).
cnf(c_0_214,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_178,c_0_209]) ).
cnf(c_0_215,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_216,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_196]),c_0_208]) ).
cnf(c_0_217,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_213]) ).
cnf(c_0_218,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_214]),c_0_184]) ).
cnf(c_0_219,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_215]),c_0_52]) ).
cnf(c_0_220,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_212,c_0_216]) ).
cnf(c_0_221,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_186]),c_0_188]) ).
cnf(c_0_222,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_219]),c_0_35])]) ).
cnf(c_0_223,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_91]) ).
cnf(c_0_224,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_5,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_220]),c_0_52]) ).
cnf(c_0_225,negated_conjecture,
product(e_2,e_5,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_221]),c_0_35])]) ).
cnf(c_0_226,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_66,c_0_89]) ).
cnf(c_0_227,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_172,c_0_50]) ).
cnf(c_0_228,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_222]),c_0_97]),c_0_223]) ).
cnf(c_0_229,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_224]),c_0_35])]) ).
cnf(c_0_230,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(spm,[status(thm)],[c_0_197,c_0_225]) ).
cnf(c_0_231,negated_conjecture,
~ product(e_2,e_5,e_4),
inference(spm,[status(thm)],[c_0_226,c_0_225]) ).
cnf(c_0_232,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_128,c_0_227]) ).
cnf(c_0_233,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_228]),c_0_35])]) ).
cnf(c_0_234,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_222]),c_0_88]) ).
cnf(c_0_235,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_89]) ).
cnf(c_0_236,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_101]) ).
cnf(c_0_237,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_89]) ).
cnf(c_0_238,negated_conjecture,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
cnf(c_0_239,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_50]) ).
cnf(c_0_240,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).
cnf(c_0_241,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_203]),c_0_235]) ).
cnf(c_0_242,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_3,e_5,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_236,c_0_96]) ).
cnf(c_0_243,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_244,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_94,c_0_238]) ).
cnf(c_0_245,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).
cnf(c_0_246,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_213]),c_0_107]) ).
cnf(c_0_247,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_171,c_0_51]) ).
cnf(c_0_248,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_173,c_0_35]) ).
cnf(c_0_249,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_250,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_245]) ).
cnf(c_0_251,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_50]) ).
cnf(c_0_252,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_246]),c_0_35])]) ).
cnf(c_0_253,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_254,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_249]) ).
cnf(c_0_255,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_238]),c_0_251]) ).
cnf(c_0_256,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_174,c_0_252]) ).
cnf(c_0_257,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_253]) ).
cnf(c_0_258,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_254]),c_0_225])]) ).
cnf(c_0_259,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_255]) ).
cnf(c_0_260,negated_conjecture,
( product(e_2,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_256]) ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_256]),c_0_93]),c_0_258]) ).
cnf(c_0_262,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_259]) ).
cnf(c_0_263,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_264,negated_conjecture,
( product(e_3,e_2,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_129]) ).
cnf(c_0_265,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_155,c_0_65]) ).
cnf(c_0_266,plain,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_85,c_0_35]) ).
cnf(c_0_267,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_264]),c_0_35])]) ).
cnf(c_0_268,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_255]) ).
cnf(c_0_269,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_5,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_222]) ).
cnf(c_0_270,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_271,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_65]) ).
cnf(c_0_272,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_159,c_0_35]) ).
cnf(c_0_273,plain,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_79,c_0_267]) ).
cnf(c_0_274,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_268]) ).
cnf(c_0_275,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_269,c_0_233]) ).
cnf(c_0_276,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_270]) ).
cnf(c_0_277,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_88,c_0_270]) ).
cnf(c_0_278,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_279,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_129,c_0_238]) ).
cnf(c_0_280,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_268]) ).
cnf(c_0_281,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_1,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_209]) ).
cnf(c_0_282,negated_conjecture,
product(e_5,e_1,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_273])]) ).
cnf(c_0_283,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_273])]) ).
cnf(c_0_284,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_275]),c_0_160]) ).
cnf(c_0_285,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_117]),c_0_277]) ).
cnf(c_0_286,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_287,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_273])]) ).
cnf(c_0_288,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]),c_0_267]),c_0_168]) ).
cnf(c_0_289,negated_conjecture,
( product(X1,e_5,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_238]) ).
cnf(c_0_290,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_155,c_0_51]) ).
cnf(c_0_291,plain,
~ product(e_3,e_5,e_5),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_292,negated_conjecture,
product(e_2,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_284]),c_0_203]) ).
cnf(c_0_293,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_285]),c_0_35])]) ).
cnf(c_0_294,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_286]) ).
cnf(c_0_295,negated_conjecture,
product(e_4,e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_184]) ).
cnf(c_0_296,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_51]) ).
cnf(c_0_297,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_87,c_0_35]) ).
cnf(c_0_298,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_289,c_0_233]) ).
cnf(c_0_299,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_300,negated_conjecture,
( product(X1,e_5,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_292]) ).
cnf(c_0_301,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_293]) ).
cnf(c_0_302,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295])]) ).
cnf(c_0_303,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_304,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_298]) ).
cnf(c_0_305,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_299]) ).
cnf(c_0_306,negated_conjecture,
product(e_1,e_5,e_4),
inference(spm,[status(thm)],[c_0_300,c_0_295]) ).
cnf(c_0_307,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_301]) ).
cnf(c_0_308,plain,
product(e_4,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_302]),c_0_35])]) ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_303]) ).
cnf(c_0_310,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_304]),c_0_225])]) ).
cnf(c_0_311,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_225])]) ).
cnf(c_0_312,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(spm,[status(thm)],[c_0_48,c_0_306]) ).
cnf(c_0_313,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_308])]) ).
cnf(c_0_314,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_308]),c_0_310]),c_0_72]) ).
cnf(c_0_315,plain,
product(e_3,e_5,e_2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_311,c_0_312]),c_0_313]) ).
cnf(c_0_316,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_263]) ).
cnf(c_0_317,negated_conjecture,
product(e_3,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_314]),c_0_292])]) ).
cnf(c_0_318,plain,
~ product(e_2,e_3,e_2),
inference(spm,[status(thm)],[c_0_88,c_0_308]) ).
cnf(c_0_319,plain,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_169,c_0_315]) ).
cnf(c_0_320,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_316,c_0_317])]),c_0_318]),c_0_319]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 02:42:59 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.cm1unHF1cw/E---3.1_27494.p
% 0.13/0.53 # Version: 3.1pre001
% 0.13/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.53 # Starting sh5l with 300s (1) cores
% 0.13/0.53 # new_bool_3 with pid 27572 completed with status 0
% 0.13/0.53 # Result found by new_bool_3
% 0.13/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.53 # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.13/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.53 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.13/0.53 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 27576 completed with status 0
% 0.13/0.53 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.13/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.53 # Search class: FGHNF-FFSM00-SFFFFFNN
% 0.13/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.53 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 0.13/0.53 # Preprocessing time : 0.001 s
% 0.13/0.53 # Presaturation interreduction done
% 0.13/0.53
% 0.13/0.53 # Proof found!
% 0.13/0.53 # SZS status Unsatisfiable
% 0.13/0.53 # SZS output start CNFRefutation
% See solution above
% 0.13/0.53 # Parsed axioms : 46
% 0.13/0.53 # Removed by relevancy pruning/SinE : 0
% 0.13/0.53 # Initial clauses : 46
% 0.13/0.53 # Removed in clause preprocessing : 0
% 0.13/0.53 # Initial clauses in saturation : 46
% 0.13/0.53 # Processed clauses : 1487
% 0.13/0.53 # ...of these trivial : 9
% 0.13/0.53 # ...subsumed : 467
% 0.13/0.53 # ...remaining for further processing : 1011
% 0.13/0.53 # Other redundant clauses eliminated : 0
% 0.13/0.53 # Clauses deleted for lack of memory : 0
% 0.13/0.53 # Backward-subsumed : 554
% 0.13/0.53 # Backward-rewritten : 110
% 0.13/0.53 # Generated clauses : 3099
% 0.13/0.53 # ...of the previous two non-redundant : 2765
% 0.13/0.53 # ...aggressively subsumed : 0
% 0.13/0.53 # Contextual simplify-reflections : 56
% 0.13/0.53 # Paramodulations : 3021
% 0.13/0.53 # Factorizations : 0
% 0.13/0.53 # NegExts : 0
% 0.13/0.53 # Equation resolutions : 0
% 0.13/0.53 # Total rewrite steps : 196
% 0.13/0.53 # Propositional unsat checks : 0
% 0.13/0.53 # Propositional check models : 0
% 0.13/0.53 # Propositional check unsatisfiable : 0
% 0.13/0.53 # Propositional clauses : 0
% 0.13/0.53 # Propositional clauses after purity: 0
% 0.13/0.53 # Propositional unsat core size : 0
% 0.13/0.53 # Propositional preprocessing time : 0.000
% 0.13/0.53 # Propositional encoding time : 0.000
% 0.13/0.53 # Propositional solver time : 0.000
% 0.13/0.53 # Success case prop preproc time : 0.000
% 0.13/0.53 # Success case prop encoding time : 0.000
% 0.13/0.53 # Success case prop solver time : 0.000
% 0.13/0.53 # Current number of processed clauses : 223
% 0.13/0.53 # Positive orientable unit clauses : 33
% 0.13/0.53 # Positive unorientable unit clauses: 0
% 0.13/0.53 # Negative unit clauses : 96
% 0.13/0.53 # Non-unit-clauses : 94
% 0.13/0.53 # Current number of unprocessed clauses: 207
% 0.13/0.53 # ...number of literals in the above : 816
% 0.13/0.53 # Current number of archived formulas : 0
% 0.13/0.53 # Current number of archived clauses : 788
% 0.13/0.53 # Clause-clause subsumption calls (NU) : 74947
% 0.13/0.53 # Rec. Clause-clause subsumption calls : 40003
% 0.13/0.53 # Non-unit clause-clause subsumptions : 545
% 0.13/0.53 # Unit Clause-clause subsumption calls : 2209
% 0.13/0.53 # Rewrite failures with RHS unbound : 0
% 0.13/0.53 # BW rewrite match attempts : 75
% 0.13/0.53 # BW rewrite match successes : 13
% 0.13/0.53 # Condensation attempts : 0
% 0.13/0.53 # Condensation successes : 0
% 0.13/0.53 # Termbank termtop insertions : 34255
% 0.13/0.53
% 0.13/0.53 # -------------------------------------------------
% 0.13/0.53 # User time : 0.126 s
% 0.13/0.53 # System time : 0.003 s
% 0.13/0.53 # Total time : 0.130 s
% 0.13/0.53 # Maximum resident set size: 1632 pages
% 0.13/0.53
% 0.13/0.53 # -------------------------------------------------
% 0.13/0.53 # User time : 0.129 s
% 0.13/0.53 # System time : 0.004 s
% 0.13/0.53 # Total time : 0.133 s
% 0.13/0.53 # Maximum resident set size: 1728 pages
% 0.13/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------