%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:57:53 PM UTC 2026
% Result : Theorem 9.12s 1.70s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 17 unt; 0 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 332 ( 143 ~; 143 |; 46 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-1 aty)
% Number of variables : 179 ( 9 sgn 79 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ id(X5,X4)
& ~ r2(X3,X5) )
| ( r2(X3,X5)
& id(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2) ).
fof(axiom_7a,axiom,
! [X65,X66] :
( ~ r2(X65,X66)
| ! [X67] :
( ~ r1(X67)
| ~ id(X67,X66) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(nonzerosnononesexistid,conjecture,
? [X63] :
( ! [X40] :
( ~ r1(X40)
| ~ id(X63,X40) )
& ! [X46] :
( ~ id(X63,X46)
| ! [X47] :
( ~ r2(X47,X46)
| ~ r1(X47) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerosnononesexistid) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r1(X2) )
| ( r1(X2)
& id(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ( r1(X21)
& r1(X20) )
| ( ~ r1(X21)
& ~ r1(X20) )
| ~ id(X20,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X60] :
( r1(X60)
& id(X58,X60) )
& ? [X59] :
( r4(X57,X59,X58)
& r1(X59) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
fof(axiom_3a,axiom,
! [X50,X51] :
( id(X50,X51)
| ! [X52] :
( ~ r2(X51,X52)
| ! [X53] :
( ~ r2(X50,X53)
| ~ id(X53,X52) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3a) ).
fof(axiom_9,axiom,
! [X22,X23,X24,X25] :
( ( r2(X24,X25)
& r2(X22,X23) )
| ( ~ r2(X24,X25)
& ~ r2(X22,X23) )
| ~ id(X23,X25)
| ~ id(X22,X24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_9) ).
fof(axiom_6,axiom,
! [X15,X16] :
( id(X16,X15)
| ~ id(X15,X16) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(axiom_7,axiom,
! [X17,X18,X19] :
( ~ id(X18,X19)
| id(X17,X19)
| ~ id(X17,X18) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( ? [X56] :
( r3(X54,X56,X55)
& r1(X56) )
& id(X55,X54) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(c_0_12,plain,
! [X3] :
? [X4] :
! [X5] :
( ( ~ id(X5,X4)
& ~ r2(X3,X5) )
| ( r2(X3,X5)
& id(X5,X4) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_13,plain,
! [X65,X66] :
( ~ r2(X65,X66)
| ! [X67] :
( ~ r1(X67)
| ~ id(X67,X66) ) ),
inference(fof_simplification,[status(thm)],[axiom_7a]) ).
fof(c_0_14,plain,
! [X70,X72] :
( ( r2(X70,X72)
| ~ id(X72,esk2_1(X70)) )
& ( r2(X70,X72)
| ~ r2(X70,X72) )
& ( id(X72,esk2_1(X70))
| ~ id(X72,esk2_1(X70)) )
& ( id(X72,esk2_1(X70))
| ~ r2(X70,X72) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_12])])])]) ).
fof(c_0_15,plain,
! [X81] : id(X81,X81),
inference(variable_rename,[status(thm)],[axiom_5]) ).
fof(c_0_16,negated_conjecture,
~ ? [X63] :
( ! [X40] :
( ~ r1(X40)
| ~ id(X63,X40) )
& ! [X46] :
( ~ id(X63,X46)
| ! [X47] :
( ~ r2(X47,X46)
| ~ r1(X47) ) ) ),
inference(assume_negation,[status(cth)],[nonzerosnononesexistid]) ).
fof(c_0_17,plain,
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r1(X2) )
| ( r1(X2)
& id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_18,plain,
! [X132,X133,X134] :
( ~ r2(X132,X133)
| ~ r1(X134)
| ~ id(X134,X133) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])])]) ).
cnf(c_0_19,plain,
( ~ id(X1,esk2_1(X2))
| r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X20,X21] :
( ( r1(X21)
& r1(X20) )
| ( ~ r1(X21)
& ~ r1(X20) )
| ~ id(X20,X21) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(c_0_22,negated_conjecture,
~ ? [X63] :
( ! [X40] :
( ~ r1(X40)
| ~ id(X63,X40) )
& ! [X46] :
( ~ id(X63,X46)
| ! [X47] :
( ~ r2(X47,X46)
| ~ r1(X47) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_23,plain,
! [X69] :
( ( r1(X69)
| ~ id(X69,esk1_0) )
& ( r1(X69)
| ~ r1(X69) )
& ( id(X69,esk1_0)
| ~ id(X69,esk1_0) )
& ( id(X69,esk1_0)
| ~ r1(X69) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])])])]) ).
fof(c_0_24,plain,
! [X124] :
( r1(esk17_1(X124))
& id(esk15_1(X124),esk17_1(X124))
& r4(X124,esk16_1(X124),esk15_1(X124))
& r1(esk16_1(X124)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(c_0_25,plain,
! [X50,X51] :
( id(X50,X51)
| ! [X52] :
( ~ r2(X51,X52)
| ! [X53] :
( ~ r2(X50,X53)
| ~ id(X53,X52) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_3a]) ).
fof(c_0_26,plain,
! [X22,X23,X24,X25] :
( ( r2(X24,X25)
& r2(X22,X23) )
| ( ~ r2(X24,X25)
& ~ r2(X22,X23) )
| ~ id(X23,X25)
| ~ id(X22,X24) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
cnf(c_0_27,plain,
( ~ r2(X3,X2)
| ~ r1(X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
r2(X1,esk2_1(X1)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_29,plain,
! [X87,X88] :
( ( ~ id(X87,X88)
| ~ r1(X88)
| r1(X88) )
& ( ~ id(X87,X88)
| ~ r1(X88)
| r1(X87) )
& ( ~ id(X87,X88)
| ~ r1(X87)
| r1(X88) )
& ( ~ id(X87,X88)
| ~ r1(X87)
| r1(X87) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_21])])]) ).
fof(c_0_30,negated_conjecture,
! [X135] :
( ( id(X135,esk21_1(X135))
| r1(esk23_1(X135)) )
& ( id(X135,esk21_1(X135))
| id(X135,esk23_1(X135)) )
& ( r2(esk22_1(X135),esk21_1(X135))
| r1(esk23_1(X135)) )
& ( r2(esk22_1(X135),esk21_1(X135))
| id(X135,esk23_1(X135)) )
& ( r1(esk22_1(X135))
| r1(esk23_1(X135)) )
& ( r1(esk22_1(X135))
| id(X135,esk23_1(X135)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
cnf(c_0_31,plain,
( ~ r1(X1)
| id(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,plain,
! [X117,X118,X119,X120] :
( id(X117,X118)
| ~ r2(X118,X119)
| ~ r2(X117,X120)
| ~ id(X120,X119) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])])]) ).
fof(c_0_34,plain,
! [X89,X90,X91,X92] :
( ( ~ id(X90,X92)
| ~ id(X89,X91)
| ~ r2(X91,X92)
| r2(X91,X92) )
& ( ~ id(X90,X92)
| ~ id(X89,X91)
| ~ r2(X91,X92)
| r2(X89,X90) )
& ( ~ id(X90,X92)
| ~ id(X89,X91)
| ~ r2(X89,X90)
| r2(X91,X92) )
& ( ~ id(X90,X92)
| ~ id(X89,X91)
| ~ r2(X89,X90)
| r2(X89,X90) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])])]) ).
cnf(c_0_35,plain,
( ~ id(X1,esk2_1(X2))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
( ~ r2(X1,X2)
| id(X2,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( ~ id(X2,X1)
| ~ r1(X2)
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( id(X1,esk21_1(X1))
| r1(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
id(esk17_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_40,plain,
! [X15,X16] :
( id(X16,X15)
| ~ id(X15,X16) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
cnf(c_0_41,plain,
( ~ r2(X4,X2)
| ~ r2(X3,X1)
| ~ id(X1,X2)
| id(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( ~ id(X4,X2)
| ~ id(X3,X1)
| ~ r2(X3,X4)
| r2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,plain,
( ~ r1(X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,negated_conjecture,
( r2(esk22_1(X1),esk21_1(X1))
| r1(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,negated_conjecture,
( ~ r1(X1)
| r1(esk21_1(X1))
| r1(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,plain,
r1(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_39]),c_0_32])]) ).
fof(c_0_47,plain,
! [X17,X18,X19] :
( ~ id(X18,X19)
| id(X17,X19)
| ~ id(X17,X18) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_48,plain,
! [X82,X83] :
( id(X83,X82)
| ~ id(X82,X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).
cnf(c_0_49,plain,
( ~ id(X3,esk2_1(X2))
| ~ r2(X1,X3)
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_28]) ).
cnf(c_0_50,plain,
( ~ id(X3,X1)
| ~ id(esk2_1(X3),X2)
| r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_28]) ).
cnf(c_0_51,negated_conjecture,
( ~ r1(esk21_1(X1))
| r1(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( r1(esk23_1(esk1_0))
| r1(esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_53,plain,
! [X84,X85,X86] :
( ~ id(X85,X86)
| id(X84,X86)
| ~ id(X84,X85) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_47])]) ).
fof(c_0_54,plain,
! [X121] :
( r3(X121,esk14_1(X121),esk13_1(X121))
& r1(esk14_1(X121))
& id(esk13_1(X121),X121) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
cnf(c_0_55,negated_conjecture,
( r2(esk22_1(X1),esk21_1(X1))
| id(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_56,plain,
( ~ id(X1,X2)
| id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( id(X1,esk21_1(X1))
| id(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_58,plain,
( ~ r2(X2,X3)
| ~ r2(X1,X3)
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_59,plain,
( ~ id(X2,X1)
| r2(X1,esk2_1(X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_20]) ).
cnf(c_0_60,negated_conjecture,
r1(esk23_1(esk1_0)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_61,plain,
( ~ id(X2,X3)
| ~ id(X1,X2)
| id(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( ~ id(esk22_1(X3),X1)
| ~ id(esk21_1(X3),X2)
| id(X3,esk23_1(X3))
| r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( id(esk21_1(X1),X1)
| id(X1,esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( r1(esk22_1(X1))
| id(X1,esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_66,negated_conjecture,
( ~ id(esk22_1(X3),X1)
| ~ id(esk21_1(X3),X2)
| r1(esk23_1(X3))
| r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_44]) ).
cnf(c_0_67,negated_conjecture,
( id(esk21_1(X1),X1)
| r1(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_56,c_0_38]) ).
cnf(c_0_68,negated_conjecture,
( r1(esk22_1(X1))
| r1(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_69,plain,
( ~ id(X3,X1)
| ~ r2(X2,esk2_1(X3))
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
id(esk23_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_31,c_0_60]) ).
cnf(c_0_71,plain,
( ~ id(X1,esk13_1(X2))
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,negated_conjecture,
( ~ id(esk22_1(X2),X1)
| id(X2,esk23_1(X2))
| r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( id(X1,esk23_1(X1))
| id(esk22_1(X1),esk1_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
( ~ id(esk22_1(X2),X1)
| r1(esk23_1(X2))
| r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( id(esk22_1(X1),esk1_0)
| r1(esk23_1(X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_68]) ).
cnf(c_0_76,plain,
r2(X1,esk13_1(esk2_1(X1))),
inference(spm,[status(thm)],[c_0_19,c_0_62]) ).
cnf(c_0_77,plain,
( ~ id(X3,X2)
| ~ id(X3,X1)
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_59]) ).
cnf(c_0_78,negated_conjecture,
id(esk1_0,esk23_1(esk1_0)),
inference(spm,[status(thm)],[c_0_56,c_0_70]) ).
cnf(c_0_79,plain,
id(esk13_1(esk13_1(X1)),X1),
inference(spm,[status(thm)],[c_0_71,c_0_62]) ).
cnf(c_0_80,plain,
( ~ id(X1,X2)
| ~ r1(X2)
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_81,negated_conjecture,
( id(X1,esk23_1(X1))
| r2(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( r1(esk23_1(X1))
| r2(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_83,plain,
( ~ id(X1,esk13_1(esk2_1(X2)))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( ~ id(esk1_0,X1)
| id(esk23_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,plain,
( ~ r2(X1,esk13_1(esk13_1(esk2_1(X2))))
| id(X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( r1(X1)
| r2(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_87,plain,
~ r1(esk13_1(esk13_1(esk2_1(X1)))),
inference(spm,[status(thm)],[c_0_83,c_0_62]) ).
cnf(c_0_88,negated_conjecture,
~ id(esk1_0,esk2_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_84]),c_0_60])]) ).
cnf(c_0_89,negated_conjecture,
id(esk1_0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN068+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:21:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.42 Running first-order theorem proving
% 0.04/0.42 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/benchmark/theBenchmark.p
% 9.12/1.70 % Version: 3.5.1
% 9.12/1.70 % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.12/1.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.12/1.70 % Starting new_bool_3 with 300s (1) cores
% 9.12/1.70 % Starting new_bool_1 with 300s (1) cores
% 9.12/1.70 % Starting sh5l with 300s (1) cores
% 9.12/1.70 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 65457 completed with status 0
% 9.12/1.70 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.12/1.70 % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.12/1.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.12/1.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.12/1.70 % No SInE strategy applied
% 9.12/1.70 % Search class: FGHNM-FFMF21-SFFFFFNN
% 9.12/1.70 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.12/1.70 % Starting SubtermCWHack with 136s (1) cores
% 9.12/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.12/1.70 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 231s (1) cores
% 9.12/1.70 % Starting new_bool_3 with 211s (1) cores
% 9.12/1.70 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 9.12/1.70 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 65466 completed with status 0
% 9.12/1.70 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.12/1.70 % Preprocessing class: FSMSSMSSSSSNFFN.
% 9.12/1.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.12/1.70 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 9.12/1.70 % No SInE strategy applied
% 9.12/1.70 % Search class: FGHNM-FFMF21-SFFFFFNN
% 9.12/1.70 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.12/1.70 % Starting SubtermCWHack with 136s (1) cores
% 9.12/1.70 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.12/1.70 % Preprocessing time : 0.001 s
% 9.12/1.70 % Presaturation interreduction done
% 9.12/1.70
% 9.12/1.70 % Proof found!
% 9.12/1.70 % SZS status Theorem
% 9.12/1.70 % SZS output start CNFRefutation
% See solution above
% 9.12/1.70 % Parsed axioms : 19
% 9.12/1.70 % Removed by relevancy pruning/SinE : 0
% 9.12/1.70 % Initial clauses : 64
% 9.12/1.70 % Removed in clause preprocessing : 16
% 9.12/1.70 % Initial clauses in saturation : 48
% 9.12/1.70 % Processed clauses : 15935
% 9.12/1.70 % ...of these trivial : 1090
% 9.12/1.70 % ...subsumed : 11551
% 9.12/1.70 % ...remaining for further processing : 3294
% 9.12/1.70 % Other redundant clauses eliminated : 0
% 9.12/1.70 % Clauses deleted for lack of memory : 0
% 9.12/1.70 % Backward-subsumed : 90
% 9.12/1.70 % Backward-rewritten : 311
% 9.12/1.70 % Generated clauses : 168127
% 9.12/1.70 % ...of the previous two non-redundant : 124154
% 9.12/1.70 % ...aggressively subsumed : 0
% 9.12/1.70 % Contextual simplify-reflections : 106
% 9.12/1.70 % Paramodulations : 168127
% 9.12/1.70 % Factorizations : 0
% 9.12/1.70 % NegExts : 0
% 9.12/1.70 % Equation resolutions : 0
% 9.12/1.70 % Disequality decompositions : 0
% 9.12/1.70 % Total rewrite steps : 81846
% 9.12/1.70 % ...of those cached : 80394
% 9.12/1.70 % Propositional unsat checks : 0
% 9.12/1.70 % Propositional check models : 0
% 9.12/1.70 % Propositional check unsatisfiable : 0
% 9.12/1.70 % Propositional clauses : 0
% 9.12/1.70 % Propositional clauses after purity: 0
% 9.12/1.70 % Propositional unsat core size : 0
% 9.12/1.70 % Propositional preprocessing time : 0.000
% 9.12/1.70 % Propositional encoding time : 0.000
% 9.12/1.70 % Propositional solver time : 0.000
% 9.12/1.70 % Success case prop preproc time : 0.000
% 9.12/1.70 % Success case prop encoding time : 0.000
% 9.12/1.70 % Success case prop solver time : 0.000
% 9.12/1.70 % Current number of processed clauses : 2845
% 9.12/1.70 % Positive orientable unit clauses : 795
% 9.12/1.70 % Positive unorientable unit clauses: 0
% 9.12/1.70 % Negative unit clauses : 516
% 9.12/1.70 % Non-unit-clauses : 1534
% 9.12/1.70 % Current number of unprocessed clauses: 105534
% 9.12/1.70 % ...number of literals in the above : 244332
% 9.12/1.70 % Current number of archived formulas : 0
% 9.12/1.70 % Current number of archived clauses : 449
% 9.12/1.70 % Clause-clause subsumption calls (NU) : 390815
% 9.12/1.70 % Rec. Clause-clause subsumption calls : 277944
% 9.12/1.70 % Non-unit clause-clause subsumptions : 7174
% 9.12/1.70 % Unit Clause-clause subsumption calls : 220129
% 9.12/1.70 % Rewrite failures with RHS unbound : 0
% 9.12/1.70 % BW rewrite match attempts : 11840
% 9.12/1.70 % BW rewrite match successes : 210
% 9.12/1.70 % Condensation attempts : 0
% 9.12/1.70 % Condensation successes : 0
% 9.12/1.70 % Termbank termtop insertions : 2207097
% 9.12/1.70 % Search garbage collected termcells : 403
% 9.12/1.70
% 9.12/1.70 % -------------------------------------------------
% 9.12/1.70 % User time : 1.165 s
% 9.12/1.70 % System time : 0.059 s
% 9.12/1.70 % Total time : 1.225 s
% 9.12/1.70 % Maximum resident set size: 3696 pages
% 9.12/1.70
% 9.12/1.70 % -------------------------------------------------
% 9.12/1.70 % User time : 5.358 s
% 9.12/1.70 % System time : 0.288 s
% 9.12/1.70 % Total time : 5.646 s
% 9.12/1.70 % Maximum resident set size: 4864 pages
% 9.12/1.70 % E exiting
%------------------------------------------------------------------------------