TSTP Solution File: GRP127-4.004 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP127-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 17:38:25 EDT 2023
% Result : Unsatisfiable 0.78s 0.61s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 23
% Syntax : Number of clauses : 147 ( 43 unt; 48 nHn; 145 RR)
% Number of literals : 355 ( 0 equ; 154 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 : 102 ( 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/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',product_total_function1) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',element_4) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',product_right_cancellation) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',product_idempotence) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',element_1) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',product_left_cancellation) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_4_is_not_e_1) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',element_3) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_1_is_not_e_4) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_3_is_not_e_1) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_2_is_not_e_1) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_3_is_not_e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_1_is_not_e_3) ).
cnf(qg3,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',qg3) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_4_is_not_e_3) ).
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/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',row_surjectivity) ).
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/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',column_surjectivity) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',product_total_function2) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_2_is_not_e_4) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_4_is_not_e_2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',e_2_is_not_e_3) ).
cnf(qg3_1,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X1,X2)
| ~ product(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',qg3_1) ).
cnf(qg3_2,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X3,X2,X4)
| ~ product(X2,X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p',qg3_2) ).
cnf(c_0_23,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_24,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_25,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_26,axiom,
product(X1,X1,X1),
product_idempotence ).
cnf(c_0_27,plain,
( 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_23,c_0_24]) ).
cnf(c_0_28,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_29,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_30,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,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) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1 ).
cnf(c_0_33,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_34,plain,
( equalish(X1,X2)
| ~ product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_35,plain,
( 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_30,c_0_31]),c_0_32]) ).
cnf(c_0_36,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4 ).
cnf(c_0_37,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_23,c_0_33]) ).
cnf(c_0_38,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_39,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_40,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1 ).
cnf(c_0_41,plain,
( equalish(X1,e_1)
| product(e_1,e_4,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_29,c_0_38]) ).
cnf(c_0_42,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_39]),c_0_40]) ).
cnf(c_0_43,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_32,c_0_41]) ).
cnf(c_0_44,plain,
( equalish(X1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_29,c_0_42]) ).
cnf(c_0_45,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_46,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4 ).
cnf(c_0_47,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_43]) ).
cnf(c_0_48,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_32,c_0_44]) ).
cnf(c_0_49,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3 ).
cnf(c_0_50,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
qg3 ).
cnf(c_0_51,plain,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_52,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_53,plain,
( ~ product(e_4,e_4,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
( product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( product(X1,X1,X2)
| ~ product(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_26]) ).
cnf(c_0_56,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_51]) ).
cnf(c_0_57,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_44]) ).
cnf(c_0_58,plain,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_52]),c_0_49]) ).
cnf(c_0_59,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_37,c_0_24]) ).
cnf(c_0_60,plain,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_61,plain,
( ~ product(e_3,e_4,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
cnf(c_0_62,plain,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_57]),c_0_49]) ).
cnf(c_0_63,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3 ).
cnf(c_0_64,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_66,plain,
( 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_59,c_0_60]) ).
cnf(c_0_67,plain,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_55]) ).
cnf(c_0_68,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_29,c_0_58]) ).
cnf(c_0_69,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_71,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_32,c_0_68]) ).
cnf(c_0_72,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_73,negated_conjecture,
( product(e_4,e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_74,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_72,c_0_24]) ).
cnf(c_0_75,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_73]),c_0_63]) ).
cnf(c_0_76,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_62]) ).
cnf(c_0_77,plain,
( equalish(X1,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_78,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_79,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2 ).
cnf(c_0_80,plain,
( product(e_1,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_33]),c_0_60]),c_0_75]) ).
cnf(c_0_81,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_76]) ).
cnf(c_0_82,plain,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_77]) ).
cnf(c_0_83,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_78,c_0_33]) ).
cnf(c_0_84,plain,
( equalish(X1,e_4)
| product(e_3,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,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_83,c_0_28]) ).
cnf(c_0_87,plain,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_84]),c_0_85]) ).
cnf(c_0_88,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4 ).
cnf(c_0_89,plain,
( 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_23,c_0_28]) ).
cnf(c_0_90,plain,
( equalish(X1,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_26]) ).
cnf(c_0_91,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,plain,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_88,c_0_77]) ).
cnf(c_0_93,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_24]) ).
cnf(c_0_94,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_40]) ).
cnf(c_0_95,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2 ).
cnf(c_0_96,plain,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_92]) ).
cnf(c_0_97,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_93]),c_0_32]) ).
cnf(c_0_98,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_78,c_0_24]) ).
cnf(c_0_99,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_94]) ).
cnf(c_0_100,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_97]),c_0_36]) ).
cnf(c_0_102,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_98,c_0_28]) ).
cnf(c_0_103,plain,
~ product(e_1,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_99]),c_0_100]) ).
cnf(c_0_104,plain,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_25,c_0_101]) ).
cnf(c_0_105,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3 ).
cnf(c_0_106,plain,
( equalish(X1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
cnf(c_0_107,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_62]) ).
cnf(c_0_108,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,plain,
( product(e_4,e_1,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_104]) ).
cnf(c_0_110,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_111,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_107]) ).
cnf(c_0_112,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_108]),c_0_32]) ).
cnf(c_0_113,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X1,X2)
| ~ product(X3,X1,X4) ),
qg3_1 ).
cnf(c_0_114,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_29,c_0_109]) ).
cnf(c_0_115,plain,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_110]),c_0_49]) ).
cnf(c_0_116,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_4,e_3,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_109]) ).
cnf(c_0_117,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( product(X1,X1,X2)
| ~ product(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_26]) ).
cnf(c_0_119,plain,
( ~ product(e_4,e_3,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_88,c_0_114]) ).
cnf(c_0_120,plain,
( equalish(X1,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_115]) ).
cnf(c_0_121,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_122,plain,
( equalish(X1,e_1)
| ~ product(e_1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_29,c_0_115]) ).
cnf(c_0_123,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_70,c_0_121]) ).
cnf(c_0_125,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_32,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X3,X2,X4)
| ~ product(X2,X4,X1) ),
qg3_2 ).
cnf(c_0_127,negated_conjecture,
~ product(e_1,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).
cnf(c_0_128,plain,
( equalish(X1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_101]) ).
cnf(c_0_129,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_101]) ).
cnf(c_0_130,plain,
product(e_1,e_3,e_4),
inference(sr,[status(thm)],[c_0_112,c_0_127]) ).
cnf(c_0_131,plain,
( product(e_4,e_1,e_2)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_128]) ).
cnf(c_0_132,negated_conjecture,
product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_133,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_99]) ).
cnf(c_0_134,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_25,c_0_132]) ).
cnf(c_0_135,plain,
( equalish(X1,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_29,c_0_92]) ).
cnf(c_0_136,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_133,c_0_124]) ).
cnf(c_0_137,negated_conjecture,
~ product(e_4,e_3,e_2),
inference(spm,[status(thm)],[c_0_40,c_0_134]) ).
cnf(c_0_138,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_139,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_130]) ).
cnf(c_0_140,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_135]) ).
cnf(c_0_141,negated_conjecture,
product(e_1,e_2,e_3),
inference(sr,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_142,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_138,c_0_67]) ).
cnf(c_0_143,negated_conjecture,
~ product(e_3,e_4,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_139]),c_0_46]) ).
cnf(c_0_144,plain,
~ product(e_3,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
cnf(c_0_145,plain,
product(e_3,e_4,e_4),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_142,c_0_143]),c_0_144]) ).
cnf(c_0_146,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_145]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP127-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 02:48:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.53 Running first-order theorem proving
% 0.22/0.53 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.kykvIK2WeV/E---3.1_15134.p
% 0.78/0.61 # Version: 3.1pre001
% 0.78/0.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.78/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.78/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.78/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.78/0.61 # Starting sh5l with 300s (1) cores
% 0.78/0.61 # new_bool_1 with pid 15251 completed with status 0
% 0.78/0.61 # Result found by new_bool_1
% 0.78/0.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.78/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.78/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.78/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.78/0.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.78/0.61 # Search class: FGUNF-FFSS00-SFFFFFNN
% 0.78/0.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.78/0.61 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.78/0.61 # SAT001_MinMin_p005000_rr_RG with pid 15257 completed with status 0
% 0.78/0.61 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.78/0.61 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.78/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.78/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.78/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.78/0.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.78/0.61 # Search class: FGUNF-FFSS00-SFFFFFNN
% 0.78/0.61 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.78/0.61 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.78/0.61 # Preprocessing time : 0.002 s
% 0.78/0.61 # Presaturation interreduction done
% 0.78/0.61
% 0.78/0.61 # Proof found!
% 0.78/0.61 # SZS status Unsatisfiable
% 0.78/0.61 # SZS output start CNFRefutation
% See solution above
% 0.78/0.61 # Parsed axioms : 26
% 0.78/0.61 # Removed by relevancy pruning/SinE : 0
% 0.78/0.61 # Initial clauses : 26
% 0.78/0.61 # Removed in clause preprocessing : 0
% 0.78/0.61 # Initial clauses in saturation : 26
% 0.78/0.61 # Processed clauses : 699
% 0.78/0.61 # ...of these trivial : 1
% 0.78/0.61 # ...subsumed : 135
% 0.78/0.61 # ...remaining for further processing : 563
% 0.78/0.61 # Other redundant clauses eliminated : 0
% 0.78/0.61 # Clauses deleted for lack of memory : 0
% 0.78/0.61 # Backward-subsumed : 289
% 0.78/0.61 # Backward-rewritten : 42
% 0.78/0.61 # Generated clauses : 1876
% 0.78/0.61 # ...of the previous two non-redundant : 1796
% 0.78/0.61 # ...aggressively subsumed : 0
% 0.78/0.61 # Contextual simplify-reflections : 17
% 0.78/0.61 # Paramodulations : 1846
% 0.78/0.61 # Factorizations : 0
% 0.78/0.61 # NegExts : 0
% 0.78/0.61 # Equation resolutions : 0
% 0.78/0.61 # Total rewrite steps : 66
% 0.78/0.61 # Propositional unsat checks : 0
% 0.78/0.61 # Propositional check models : 0
% 0.78/0.61 # Propositional check unsatisfiable : 0
% 0.78/0.61 # Propositional clauses : 0
% 0.78/0.61 # Propositional clauses after purity: 0
% 0.78/0.61 # Propositional unsat core size : 0
% 0.78/0.61 # Propositional preprocessing time : 0.000
% 0.78/0.61 # Propositional encoding time : 0.000
% 0.78/0.61 # Propositional solver time : 0.000
% 0.78/0.61 # Success case prop preproc time : 0.000
% 0.78/0.61 # Success case prop encoding time : 0.000
% 0.78/0.61 # Success case prop solver time : 0.000
% 0.78/0.61 # Current number of processed clauses : 176
% 0.78/0.61 # Positive orientable unit clauses : 12
% 0.78/0.61 # Positive unorientable unit clauses: 0
% 0.78/0.61 # Negative unit clauses : 38
% 0.78/0.61 # Non-unit-clauses : 126
% 0.78/0.61 # Current number of unprocessed clauses: 988
% 0.78/0.61 # ...number of literals in the above : 3994
% 0.78/0.61 # Current number of archived formulas : 0
% 0.78/0.61 # Current number of archived clauses : 387
% 0.78/0.61 # Clause-clause subsumption calls (NU) : 14874
% 0.78/0.61 # Rec. Clause-clause subsumption calls : 10642
% 0.78/0.61 # Non-unit clause-clause subsumptions : 190
% 0.78/0.61 # Unit Clause-clause subsumption calls : 2037
% 0.78/0.61 # Rewrite failures with RHS unbound : 0
% 0.78/0.61 # BW rewrite match attempts : 42
% 0.78/0.61 # BW rewrite match successes : 5
% 0.78/0.61 # Condensation attempts : 0
% 0.78/0.61 # Condensation successes : 0
% 0.78/0.61 # Termbank termtop insertions : 20235
% 0.78/0.61
% 0.78/0.61 # -------------------------------------------------
% 0.78/0.61 # User time : 0.065 s
% 0.78/0.61 # System time : 0.003 s
% 0.78/0.61 # Total time : 0.068 s
% 0.78/0.61 # Maximum resident set size: 1624 pages
% 0.78/0.61
% 0.78/0.61 # -------------------------------------------------
% 0.78/0.61 # User time : 0.066 s
% 0.78/0.61 # System time : 0.007 s
% 0.78/0.61 # Total time : 0.072 s
% 0.78/0.61 # Maximum resident set size: 1688 pages
% 0.78/0.61 % E---3.1 exiting
% 0.78/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------