TSTP Solution File: GRP129-1.003 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : 300s
% WCLimit : 300s
% DateTime : Sat May 4 07:57:26 EDT 2024
% Result : Unsatisfiable 0.40s 0.54s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of clauses : 136 ( 31 unt; 91 nHn; 136 RR)
% Number of literals : 384 ( 0 equ; 92 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 96 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',product_total_function1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',element_2) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',product_right_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',element_1) ).
cnf(qg3,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',qg3) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',element_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',e_1_is_not_e_2) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',e_2_is_not_e_3) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',e_3_is_not_e_1) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',e_1_is_not_e_3) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',product_left_cancellation) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',e_3_is_not_e_2) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',product_total_function2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.QtV7j6PBwd/E---3.1_6746.p',e_2_is_not_e_1) ).
cnf(c_0_14,plain,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| ~ group_element(X1)
| ~ group_element(X2) ),
inference(fof_simplification,[status(thm)],[product_total_function1]) ).
cnf(c_0_15,plain,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| ~ group_element(X1)
| ~ group_element(X2) ),
c_0_14 ).
cnf(c_0_16,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_17,plain,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
inference(fof_simplification,[status(thm)],[product_right_cancellation]) ).
cnf(c_0_18,plain,
( 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_15,c_0_16]) ).
cnf(c_0_19,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_20,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[qg3]) ).
cnf(c_0_21,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_22,plain,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
c_0_17 ).
cnf(c_0_23,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( 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_15,c_0_19]) ).
cnf(c_0_25,plain,
~ equalish(e_1,e_2),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_2]) ).
cnf(c_0_26,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
c_0_20 ).
cnf(c_0_27,plain,
( 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_15,c_0_21]) ).
cnf(c_0_28,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_30,plain,
~ equalish(e_1,e_2),
c_0_25 ).
cnf(c_0_31,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(X1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_26]) ).
cnf(c_0_32,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_33,plain,
~ equalish(e_2,e_3),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_3]) ).
cnf(c_0_34,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_35,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_22,c_0_32]) ).
cnf(c_0_36,plain,
~ equalish(e_2,e_3),
c_0_33 ).
cnf(c_0_37,plain,
~ equalish(e_3,e_1),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_1]) ).
cnf(c_0_38,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_22,c_0_34]) ).
cnf(c_0_39,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_36]) ).
cnf(c_0_40,plain,
~ equalish(e_3,e_1),
c_0_37 ).
cnf(c_0_41,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_26,c_0_41]) ).
cnf(c_0_43,plain,
~ equalish(e_1,e_3),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).
cnf(c_0_44,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_34]),c_0_31]) ).
cnf(c_0_45,plain,
~ equalish(e_1,e_3),
c_0_43 ).
cnf(c_0_46,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(X1,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_32]),c_0_26]) ).
cnf(c_0_47,plain,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).
cnf(c_0_48,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_26,c_0_44]) ).
cnf(c_0_49,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_45]),c_0_46]) ).
cnf(c_0_50,plain,
~ equalish(e_3,e_2),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_2]) ).
cnf(c_0_51,plain,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
c_0_47 ).
cnf(c_0_52,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( product(e_1,e_2,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_22,c_0_44]) ).
cnf(c_0_54,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_46]) ).
cnf(c_0_55,plain,
~ equalish(e_3,e_2),
c_0_50 ).
cnf(c_0_56,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_58,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_29]),c_0_45]) ).
cnf(c_0_59,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_26,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
( product(e_1,e_2,e_2)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_58]),c_0_30]) ).
cnf(c_0_62,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_52]),c_0_46]) ).
cnf(c_0_63,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_45]) ).
cnf(c_0_64,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_22,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_58]),c_0_45]) ).
cnf(c_0_67,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_30]) ).
cnf(c_0_68,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_26,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_55]) ).
cnf(c_0_70,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_26,c_0_57]) ).
cnf(c_0_72,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_36]) ).
cnf(c_0_75,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_76,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_26,c_0_74]) ).
cnf(c_0_77,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_75]) ).
cnf(c_0_78,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_79,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_75]) ).
cnf(c_0_80,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_36]) ).
cnf(c_0_81,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_74]) ).
cnf(c_0_84,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_24,c_0_16]) ).
cnf(c_0_85,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_80]) ).
cnf(c_0_86,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_32]),c_0_30]) ).
cnf(c_0_87,negated_conjecture,
( product(e_3,e_1,e_2)
| equalish(X1,e_1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_22,c_0_69]) ).
cnf(c_0_88,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_36]) ).
cnf(c_0_89,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_51,c_0_84]) ).
cnf(c_0_90,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_45]) ).
cnf(c_0_91,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_40]) ).
cnf(c_0_92,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_29]),c_0_30]) ).
cnf(c_0_93,plain,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_92]),c_0_30]),c_0_48]) ).
cnf(c_0_96,negated_conjecture,
( product(e_3,e_1,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_69]) ).
cnf(c_0_97,plain,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
inference(fof_simplification,[status(thm)],[product_total_function2]) ).
cnf(c_0_98,negated_conjecture,
( product(e_1,e_2,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_57]) ).
cnf(c_0_99,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_36]) ).
cnf(c_0_100,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,X1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_26,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_92]),c_0_45]) ).
cnf(c_0_102,plain,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_97 ).
cnf(c_0_103,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_40]) ).
cnf(c_0_104,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_26,c_0_69]) ).
cnf(c_0_105,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_78]) ).
cnf(c_0_108,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_100,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_99]) ).
cnf(c_0_110,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_55]) ).
cnf(c_0_111,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_22,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_45]) ).
cnf(c_0_113,plain,
~ equalish(e_2,e_1),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_1]) ).
cnf(c_0_114,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_115,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_40]) ).
cnf(c_0_116,plain,
~ equalish(e_2,e_1),
c_0_113 ).
cnf(c_0_117,negated_conjecture,
( product(e_2,e_3,e_2)
| equalish(X1,e_2)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| equalish(X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_74]) ).
cnf(c_0_120,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_30]) ).
cnf(c_0_121,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_115]),c_0_36]) ).
cnf(c_0_122,negated_conjecture,
( product(e_2,e_3,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_121]),c_0_55]) ).
cnf(c_0_124,negated_conjecture,
product(e_2,e_3,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_40]) ).
cnf(c_0_125,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| equalish(X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_49]) ).
cnf(c_0_126,negated_conjecture,
( equalish(X1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_51,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_95]),c_0_116]),c_0_46]) ).
cnf(c_0_128,negated_conjecture,
product(e_1,e_2,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_124]),c_0_116]) ).
cnf(c_0_129,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_55,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| equalish(X1,e_1)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_51,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_128]),c_0_129]),c_0_36]) ).
cnf(c_0_132,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(spm,[status(thm)],[c_0_30,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_124]) ).
cnf(c_0_134,negated_conjecture,
product(e_2,e_1,e_2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_40]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_133]),c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP129-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 16:19:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 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.QtV7j6PBwd/E---3.1_6746.p
% 0.40/0.54 # Version: 3.1.0
% 0.40/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.40/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.40/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.40/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.40/0.54 # Starting sh5l with 300s (1) cores
% 0.40/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6823 completed with status 0
% 0.40/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.40/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.40/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.40/0.54 # No SInE strategy applied
% 0.40/0.54 # Search class: FGUNF-FFSS00-SFFFFFNN
% 0.40/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.40/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.40/0.54 # Starting new_bool_3 with 136s (1) cores
% 0.40/0.54 # Starting new_bool_1 with 136s (1) cores
% 0.40/0.54 # Starting sh5l with 136s (1) cores
% 0.40/0.54 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6831 completed with status 0
% 0.40/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.40/0.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.40/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.40/0.54 # No SInE strategy applied
% 0.40/0.54 # Search class: FGUNF-FFSS00-SFFFFFNN
% 0.40/0.54 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.40/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.40/0.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.40/0.54 # Preprocessing time : 0.001 s
% 0.40/0.54 # Presaturation interreduction done
% 0.40/0.54
% 0.40/0.54 # Proof found!
% 0.40/0.54 # SZS status Unsatisfiable
% 0.40/0.54 # SZS output start CNFRefutation
% See solution above
% 0.40/0.54 # Parsed axioms : 14
% 0.40/0.54 # Removed by relevancy pruning/SinE : 0
% 0.40/0.54 # Initial clauses : 14
% 0.40/0.54 # Removed in clause preprocessing : 0
% 0.40/0.54 # Initial clauses in saturation : 14
% 0.40/0.54 # Processed clauses : 682
% 0.40/0.54 # ...of these trivial : 1
% 0.40/0.54 # ...subsumed : 318
% 0.40/0.54 # ...remaining for further processing : 363
% 0.40/0.54 # Other redundant clauses eliminated : 0
% 0.40/0.54 # Clauses deleted for lack of memory : 0
% 0.40/0.54 # Backward-subsumed : 146
% 0.40/0.54 # Backward-rewritten : 103
% 0.40/0.54 # Generated clauses : 1887
% 0.40/0.54 # ...of the previous two non-redundant : 1884
% 0.40/0.54 # ...aggressively subsumed : 0
% 0.40/0.54 # Contextual simplify-reflections : 10
% 0.40/0.54 # Paramodulations : 1861
% 0.40/0.54 # Factorizations : 0
% 0.40/0.54 # NegExts : 0
% 0.40/0.54 # Equation resolutions : 0
% 0.40/0.54 # Disequality decompositions : 0
% 0.40/0.54 # Total rewrite steps : 107
% 0.40/0.54 # ...of those cached : 101
% 0.40/0.54 # Propositional unsat checks : 0
% 0.40/0.54 # Propositional check models : 0
% 0.40/0.54 # Propositional check unsatisfiable : 0
% 0.40/0.54 # Propositional clauses : 0
% 0.40/0.54 # Propositional clauses after purity: 0
% 0.40/0.54 # Propositional unsat core size : 0
% 0.40/0.54 # Propositional preprocessing time : 0.000
% 0.40/0.54 # Propositional encoding time : 0.000
% 0.40/0.54 # Propositional solver time : 0.000
% 0.40/0.54 # Success case prop preproc time : 0.000
% 0.40/0.54 # Success case prop encoding time : 0.000
% 0.40/0.54 # Success case prop solver time : 0.000
% 0.40/0.54 # Current number of processed clauses : 74
% 0.40/0.54 # Positive orientable unit clauses : 9
% 0.40/0.54 # Positive unorientable unit clauses: 0
% 0.40/0.54 # Negative unit clauses : 10
% 0.40/0.54 # Non-unit-clauses : 55
% 0.40/0.54 # Current number of unprocessed clauses: 993
% 0.40/0.54 # ...number of literals in the above : 4560
% 0.40/0.54 # Current number of archived formulas : 0
% 0.40/0.54 # Current number of archived clauses : 289
% 0.40/0.54 # Clause-clause subsumption calls (NU) : 6413
% 0.40/0.54 # Rec. Clause-clause subsumption calls : 2040
% 0.40/0.54 # Non-unit clause-clause subsumptions : 467
% 0.40/0.54 # Unit Clause-clause subsumption calls : 337
% 0.40/0.54 # Rewrite failures with RHS unbound : 0
% 0.40/0.54 # BW rewrite match attempts : 19
% 0.40/0.54 # BW rewrite match successes : 6
% 0.40/0.54 # Condensation attempts : 0
% 0.40/0.54 # Condensation successes : 0
% 0.40/0.54 # Termbank termtop insertions : 31855
% 0.40/0.54 # Search garbage collected termcells : 36
% 0.40/0.54
% 0.40/0.54 # -------------------------------------------------
% 0.40/0.54 # User time : 0.037 s
% 0.40/0.54 # System time : 0.003 s
% 0.40/0.54 # Total time : 0.040 s
% 0.40/0.54 # Maximum resident set size: 1660 pages
% 0.40/0.54
% 0.40/0.54 # -------------------------------------------------
% 0.40/0.54 # User time : 0.175 s
% 0.40/0.54 # System time : 0.008 s
% 0.40/0.54 # Total time : 0.183 s
% 0.40/0.54 # Maximum resident set size: 1696 pages
% 0.40/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------