TSTP Solution File: GRP129-4.004 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP129-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 17:38:54 EDT 2023
% Result : Unsatisfiable 1.03s 0.61s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 22
% Syntax : Number of clauses : 142 ( 47 unt; 76 nHn; 142 RR)
% Number of literals : 369 ( 0 equ; 103 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',product_total_function1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',element_2) ).
cnf(qg3_1,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X3,X1,X4)
| ~ product(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',qg3_1) ).
cnf(column_surjectivity,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) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',column_surjectivity) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',product_left_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',element_1) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_1_is_not_e_2) ).
cnf(row_surjectivity,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) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',row_surjectivity) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',product_right_cancellation) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',product_total_function2) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_4_is_not_e_1) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_3_is_not_e_1) ).
cnf(qg3,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',qg3) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',element_4) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_4_is_not_e_2) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_1_is_not_e_4) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_3_is_not_e_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',element_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_2_is_not_e_1) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_3_is_not_e_2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_2_is_not_e_3) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p',e_1_is_not_e_3) ).
cnf(c_0_22,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_23,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_24,plain,
( product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X3,X1,X4)
| ~ product(X2,X3,X4) ),
qg3_1 ).
cnf(c_0_26,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,X1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_32,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 ).
cnf(c_0_33,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_34,negated_conjecture,
product(e_2,e_2,e_2),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_35,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_32,c_0_23]) ).
cnf(c_0_36,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_37,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2 ).
cnf(c_0_38,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,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 ).
cnf(c_0_40,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_41,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_35,c_0_36]) ).
cnf(c_0_42,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,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_39,c_0_23]) ).
cnf(c_0_44,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
cnf(c_0_45,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,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_43,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_48,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_49,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_1,X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_45]) ).
cnf(c_0_50,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,plain,
( equalish(X1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_53,plain,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_37]) ).
cnf(c_0_55,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_56,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_57,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_58,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_61,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
qg3 ).
cnf(c_0_63,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_54]) ).
cnf(c_0_65,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_66,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_67,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_64]) ).
cnf(c_0_70,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_35,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_66,c_0_38]) ).
cnf(c_0_72,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_64]) ).
cnf(c_0_75,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_76,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_79,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_80,plain,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_4,X1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_82]) ).
cnf(c_0_84,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_81]) ).
cnf(c_0_87,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_43,c_0_65]) ).
cnf(c_0_88,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_66,c_0_44]) ).
cnf(c_0_89,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_66]) ).
cnf(c_0_90,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_86]) ).
cnf(c_0_91,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_92,plain,
( product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_89]),c_0_55]) ).
cnf(c_0_95,plain,
( product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_91]) ).
cnf(c_0_96,plain,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
product(e_3,e_4,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_37]) ).
cnf(c_0_98,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_91]) ).
cnf(c_0_99,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_59]) ).
cnf(c_0_100,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_78]),c_0_79]) ).
cnf(c_0_101,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_102,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_97]) ).
cnf(c_0_103,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_25,c_0_98]) ).
cnf(c_0_104,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_55]) ).
cnf(c_0_105,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2 ).
cnf(c_0_107,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
product(e_3,e_1,e_2),
inference(sr,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,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) ),
inference(spm,[status(thm)],[c_0_95,c_0_23]) ).
cnf(c_0_110,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(spm,[status(thm)],[c_0_106,c_0_44]) ).
cnf(c_0_111,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_108]) ).
cnf(c_0_113,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_81]) ).
cnf(c_0_114,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_111,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_57,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_42]) ).
cnf(c_0_118,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_104]) ).
cnf(c_0_119,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,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_32,c_0_36]) ).
cnf(c_0_121,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_34]) ).
cnf(c_0_122,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_114]),c_0_42]) ).
cnf(c_0_124,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3 ).
cnf(c_0_125,negated_conjecture,
( equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_33,c_0_119]) ).
cnf(c_0_126,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_120,c_0_23]) ).
cnf(c_0_127,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(spm,[status(thm)],[c_0_37,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_101]) ).
cnf(c_0_129,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_97]) ).
cnf(c_0_132,negated_conjecture,
product(e_2,e_3,e_4),
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
( equalish(X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_33,c_0_97]) ).
cnf(c_0_134,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_135,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
product(e_4,e_2,e_1),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(spm,[status(thm)],[c_0_124,c_0_133]) ).
cnf(c_0_138,negated_conjecture,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_134,c_0_133]) ).
cnf(c_0_139,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_108]) ).
cnf(c_0_140,negated_conjecture,
product(e_2,e_3,e_1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_138]) ).
cnf(c_0_141,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP129-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Oct 3 02:33:29 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.kZ0BJMXsim/E---3.1_14126.p
% 1.03/0.61 # Version: 3.1pre001
% 1.03/0.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.03/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.03/0.61 # Starting new_bool_3 with 300s (1) cores
% 1.03/0.61 # Starting new_bool_1 with 300s (1) cores
% 1.03/0.61 # Starting sh5l with 300s (1) cores
% 1.03/0.61 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14204 completed with status 0
% 1.03/0.61 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.03/0.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.03/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.03/0.61 # No SInE strategy applied
% 1.03/0.61 # Search class: FGUNF-FFSS00-SFFFFFNN
% 1.03/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.03/0.61 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.03/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.03/0.61 # Starting new_bool_3 with 136s (1) cores
% 1.03/0.61 # Starting new_bool_1 with 136s (1) cores
% 1.03/0.61 # Starting sh5l with 136s (1) cores
% 1.03/0.61 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14210 completed with status 0
% 1.03/0.61 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.03/0.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.03/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.03/0.61 # No SInE strategy applied
% 1.03/0.61 # Search class: FGUNF-FFSS00-SFFFFFNN
% 1.03/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.03/0.61 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.03/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.03/0.61 # Preprocessing time : 0.001 s
% 1.03/0.61 # Presaturation interreduction done
% 1.03/0.61
% 1.03/0.61 # Proof found!
% 1.03/0.61 # SZS status Unsatisfiable
% 1.03/0.61 # SZS output start CNFRefutation
% See solution above
% 1.03/0.61 # Parsed axioms : 25
% 1.03/0.61 # Removed by relevancy pruning/SinE : 0
% 1.03/0.61 # Initial clauses : 25
% 1.03/0.61 # Removed in clause preprocessing : 0
% 1.03/0.61 # Initial clauses in saturation : 25
% 1.03/0.61 # Processed clauses : 1182
% 1.03/0.61 # ...of these trivial : 3
% 1.03/0.61 # ...subsumed : 328
% 1.03/0.61 # ...remaining for further processing : 851
% 1.03/0.61 # Other redundant clauses eliminated : 0
% 1.03/0.61 # Clauses deleted for lack of memory : 0
% 1.03/0.61 # Backward-subsumed : 290
% 1.03/0.61 # Backward-rewritten : 135
% 1.03/0.61 # Generated clauses : 4417
% 1.03/0.61 # ...of the previous two non-redundant : 4360
% 1.03/0.61 # ...aggressively subsumed : 0
% 1.03/0.61 # Contextual simplify-reflections : 7
% 1.03/0.61 # Paramodulations : 4300
% 1.03/0.61 # Factorizations : 0
% 1.03/0.61 # NegExts : 0
% 1.03/0.61 # Equation resolutions : 0
% 1.03/0.61 # Total rewrite steps : 178
% 1.03/0.61 # Propositional unsat checks : 0
% 1.03/0.61 # Propositional check models : 0
% 1.03/0.61 # Propositional check unsatisfiable : 0
% 1.03/0.61 # Propositional clauses : 0
% 1.03/0.61 # Propositional clauses after purity: 0
% 1.03/0.61 # Propositional unsat core size : 0
% 1.03/0.61 # Propositional preprocessing time : 0.000
% 1.03/0.61 # Propositional encoding time : 0.000
% 1.03/0.61 # Propositional solver time : 0.000
% 1.03/0.61 # Success case prop preproc time : 0.000
% 1.03/0.61 # Success case prop encoding time : 0.000
% 1.03/0.61 # Success case prop solver time : 0.000
% 1.03/0.61 # Current number of processed clauses : 284
% 1.03/0.61 # Positive orientable unit clauses : 16
% 1.03/0.61 # Positive unorientable unit clauses: 0
% 1.03/0.61 # Negative unit clauses : 38
% 1.03/0.61 # Non-unit-clauses : 230
% 1.03/0.61 # Current number of unprocessed clauses: 3063
% 1.03/0.61 # ...number of literals in the above : 15723
% 1.03/0.61 # Current number of archived formulas : 0
% 1.03/0.61 # Current number of archived clauses : 567
% 1.03/0.61 # Clause-clause subsumption calls (NU) : 27038
% 1.03/0.61 # Rec. Clause-clause subsumption calls : 8916
% 1.03/0.61 # Non-unit clause-clause subsumptions : 549
% 1.03/0.61 # Unit Clause-clause subsumption calls : 2136
% 1.03/0.61 # Rewrite failures with RHS unbound : 0
% 1.03/0.61 # BW rewrite match attempts : 44
% 1.03/0.61 # BW rewrite match successes : 12
% 1.03/0.61 # Condensation attempts : 0
% 1.03/0.61 # Condensation successes : 0
% 1.03/0.61 # Termbank termtop insertions : 80365
% 1.03/0.61
% 1.03/0.61 # -------------------------------------------------
% 1.03/0.61 # User time : 0.112 s
% 1.03/0.61 # System time : 0.005 s
% 1.03/0.61 # Total time : 0.117 s
% 1.03/0.61 # Maximum resident set size: 1644 pages
% 1.03/0.61
% 1.03/0.61 # -------------------------------------------------
% 1.03/0.61 # User time : 0.569 s
% 1.03/0.61 # System time : 0.016 s
% 1.03/0.61 # Total time : 0.585 s
% 1.03/0.61 # Maximum resident set size: 1688 pages
% 1.03/0.61 % E---3.1 exiting
% 1.03/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------