%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUN059+1 : TPTP v9.2.1. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 : Tue May 5 05:00:48 PM UTC 2026
% Result : Theorem 15.49s 9.98s
% Output : CNFRefutation 15.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 27 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 357 ( 154 ~; 135 |; 68 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-2 aty)
% Number of variables : 235 ( 8 sgn 86 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_10,axiom,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_10) ).
fof(axiom_4a,axiom,
! [X54] :
? [X55] :
( id(X55,X54)
& ? [X56] :
( r1(X56)
& r3(X54,X56,X55) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4a) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_1) ).
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( id(X13,X12)
& r4(X10,X11,X13) )
| ( ~ r4(X10,X11,X13)
& ~ id(X13,X12) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_4) ).
fof(axiom_8,axiom,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_8) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_3) ).
fof(axiom_2a,axiom,
! [X44,X45] :
? [X46] :
( ? [X47] :
( id(X47,X46)
& ? [X48] :
( r2(X45,X48)
& r4(X44,X48,X47) ) )
& ? [X49] :
( r3(X49,X44,X46)
& r4(X44,X45,X49) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_2a) ).
fof(axiom_5a,axiom,
! [X57] :
? [X58] :
( ? [X59] :
( r1(X59)
& r4(X57,X59,X58) )
& ? [X60] :
( id(X58,X60)
& r1(X60) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5a) ).
fof(axiom_5,axiom,
! [X14] : id(X14,X14),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_5) ).
fof(fermattothepoweroftwoid,conjecture,
? [X63,X47,X46,X40] :
( ? [X41] :
( id(X40,X41)
& r4(X46,X46,X41) )
& ? [X49] :
( r4(X47,X47,X49)
& ? [X43] :
( r4(X63,X63,X43)
& r3(X43,X49,X40) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fermattothepoweroftwoid) ).
fof(axiom_11,axiom,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_11) ).
fof(axiom_6,axiom,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_6) ).
fof(c_0_12,plain,
! [X26,X27,X28,X29,X30,X31] :
( ~ id(X26,X29)
| ~ id(X27,X30)
| ~ id(X28,X31)
| ( ~ r3(X26,X27,X28)
& ~ r3(X29,X30,X31) )
| ( r3(X26,X27,X28)
& r3(X29,X30,X31) ) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
fof(c_0_13,plain,
! [X167,X168,X169,X170,X171,X172] :
( ( r3(X167,X168,X169)
| ~ r3(X167,X168,X169)
| ~ id(X167,X170)
| ~ id(X168,X171)
| ~ id(X169,X172) )
& ( r3(X170,X171,X172)
| ~ r3(X167,X168,X169)
| ~ id(X167,X170)
| ~ id(X168,X171)
| ~ id(X169,X172) )
& ( r3(X167,X168,X169)
| ~ r3(X170,X171,X172)
| ~ id(X167,X170)
| ~ id(X168,X171)
| ~ id(X169,X172) )
& ( r3(X170,X171,X172)
| ~ r3(X170,X171,X172)
| ~ id(X167,X170)
| ~ id(X168,X171)
| ~ id(X169,X172) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_14,plain,
! [X195] :
( id(esk13_1(X195),X195)
& r1(esk14_1(X195))
& r3(X195,esk14_1(X195),esk13_1(X195)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_15,plain,
? [X1] :
! [X2] :
( ( id(X2,X1)
& r1(X2) )
| ( ~ r1(X2)
& ~ id(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_16,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X143] :
( ( ~ r1(X143)
| id(X143,esk1_0) )
& ( ~ id(X143,esk1_0)
| id(X143,esk1_0) )
& ( ~ r1(X143)
| r1(X143) )
& ( ~ id(X143,esk1_0)
| r1(X143) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,plain,
! [X10,X11] :
? [X12] :
! [X13] :
( ( id(X13,X12)
& r4(X10,X11,X13) )
| ( ~ r4(X10,X11,X13)
& ~ id(X13,X12) ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
fof(c_0_20,plain,
! [X20,X21] :
( ~ id(X20,X21)
| ( ~ r1(X20)
& ~ r1(X21) )
| ( r1(X20)
& r1(X21) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
fof(c_0_21,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( id(X9,X8)
& r3(X6,X7,X9) )
| ( ~ r3(X6,X7,X9)
& ~ id(X9,X8) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_22,plain,
( r3(X1,X2,X3)
| ~ id(esk13_1(X4),X3)
| ~ id(esk14_1(X4),X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
id(esk13_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( id(X1,esk1_0)
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_26,plain,
! [X151,X152,X154] :
( ( ~ r4(X151,X152,X154)
| id(X154,esk4_2(X151,X152)) )
& ( ~ id(X154,esk4_2(X151,X152))
| id(X154,esk4_2(X151,X152)) )
& ( ~ r4(X151,X152,X154)
| r4(X151,X152,X154) )
& ( ~ id(X154,esk4_2(X151,X152))
| r4(X151,X152,X154) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])])]) ).
fof(c_0_27,plain,
! [X185,X186] :
( id(esk10_2(X185,X186),esk9_2(X185,X186))
& r2(X186,esk11_2(X185,X186))
& r4(X185,esk11_2(X185,X186),esk10_2(X185,X186))
& r3(esk12_2(X185,X186),X185,esk9_2(X185,X186))
& r4(X185,X186,esk12_2(X185,X186)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
fof(c_0_28,plain,
! [X198] :
( r1(esk16_1(X198))
& r4(X198,esk16_1(X198),esk15_1(X198))
& id(esk15_1(X198),esk17_1(X198))
& r1(esk17_1(X198)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
fof(c_0_29,plain,
! [X161,X162] :
( ( r1(X161)
| ~ r1(X161)
| ~ id(X161,X162) )
& ( r1(X162)
| ~ r1(X161)
| ~ id(X161,X162) )
& ( r1(X161)
| ~ r1(X162)
| ~ id(X161,X162) )
& ( r1(X162)
| ~ r1(X162)
| ~ id(X161,X162) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_20])]) ).
fof(c_0_30,plain,
! [X147,X148,X150] :
( ( ~ r3(X147,X148,X150)
| id(X150,esk3_2(X147,X148)) )
& ( ~ id(X150,esk3_2(X147,X148))
| id(X150,esk3_2(X147,X148)) )
& ( ~ r3(X147,X148,X150)
| r3(X147,X148,X150) )
& ( ~ id(X150,esk3_2(X147,X148))
| r3(X147,X148,X150) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_21])])]) ).
fof(c_0_31,plain,
! [X155] : id(X155,X155),
inference(variable_rename,[status(thm)],[axiom_5]) ).
cnf(c_0_32,plain,
( r3(X1,X2,X3)
| ~ id(esk14_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_33,plain,
id(esk14_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,plain,
( id(X3,esk4_2(X1,X2))
| ~ r4(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
id(esk15_1(X1),esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( r3(X2,X3,X1)
| ~ id(X1,esk3_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_41,plain,
id(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( r3(X1,esk1_0,X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
id(esk12_2(X1,X2),esk4_2(X1,X2)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,plain,
id(esk15_1(X1),esk4_2(X1,esk16_1(X1))),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_46,plain,
r1(esk15_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_47,plain,
( r3(X1,X2,X3)
| ~ r3(X4,X5,X6)
| ~ id(X1,X4)
| ~ id(X2,X5)
| ~ id(X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_48,plain,
r3(X1,X2,esk3_2(X1,X2)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,plain,
( id(X3,esk3_2(X1,X2))
| ~ r3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_50,plain,
r3(X1,esk1_0,X1),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_51,plain,
( r1(esk12_2(X1,X2))
| ~ r1(esk4_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_52,plain,
r1(esk4_2(X1,esk16_1(X1))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
fof(c_0_53,negated_conjecture,
~ ? [X63,X47,X46,X40] :
( ? [X41] :
( id(X40,X41)
& r4(X46,X46,X41) )
& ? [X49] :
( r4(X47,X47,X49)
& ? [X43] :
( r4(X63,X63,X43)
& r3(X43,X49,X40) ) ) ),
inference(assume_negation,[status(cth)],[fermattothepoweroftwoid]) ).
cnf(c_0_54,plain,
( r3(X1,X2,X3)
| ~ id(X3,esk3_2(X4,X5))
| ~ id(X2,X5)
| ~ id(X1,X4) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
id(X1,esk3_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
r1(esk12_2(X1,esk16_1(X1))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_57,plain,
! [X32,X33,X34,X35,X36,X37] :
( ~ id(X32,X35)
| ~ id(X33,X36)
| ~ id(X34,X37)
| ( ~ r4(X32,X33,X34)
& ~ r4(X35,X36,X37) )
| ( r4(X32,X33,X34)
& r4(X35,X36,X37) ) ),
inference(fof_simplification,[status(thm)],[axiom_11]) ).
fof(c_0_58,negated_conjecture,
! [X209,X210,X211,X212,X213,X214,X215] :
( ~ id(X212,X213)
| ~ r4(X211,X211,X213)
| ~ r4(X210,X210,X214)
| ~ r4(X209,X209,X215)
| ~ r3(X215,X214,X212) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
cnf(c_0_59,plain,
( r3(X1,X2,X3)
| ~ id(X2,esk1_0)
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
id(esk12_2(X1,esk16_1(X1)),esk1_0),
inference(spm,[status(thm)],[c_0_24,c_0_56]) ).
fof(c_0_61,plain,
! [X173,X174,X175,X176,X177,X178] :
( ( r4(X173,X174,X175)
| ~ r4(X173,X174,X175)
| ~ id(X173,X176)
| ~ id(X174,X177)
| ~ id(X175,X178) )
& ( r4(X176,X177,X178)
| ~ r4(X173,X174,X175)
| ~ id(X173,X176)
| ~ id(X174,X177)
| ~ id(X175,X178) )
& ( r4(X173,X174,X175)
| ~ r4(X176,X177,X178)
| ~ id(X173,X176)
| ~ id(X174,X177)
| ~ id(X175,X178) )
& ( r4(X176,X177,X178)
| ~ r4(X176,X177,X178)
| ~ id(X173,X176)
| ~ id(X174,X177)
| ~ id(X175,X178) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).
cnf(c_0_62,negated_conjecture,
( ~ id(X1,X2)
| ~ r4(X3,X3,X2)
| ~ r4(X4,X4,X5)
| ~ r4(X6,X6,X7)
| ~ r3(X7,X5,X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,plain,
( r3(X1,esk12_2(X2,esk16_1(X2)),X3)
| ~ id(X1,X3) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,plain,
( r4(X1,X2,X3)
| ~ r4(X4,X5,X6)
| ~ id(X4,X1)
| ~ id(X5,X2)
| ~ id(X6,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_65,plain,
! [X15,X16] :
( ~ id(X15,X16)
| id(X16,X15) ),
inference(fof_simplification,[status(thm)],[axiom_6]) ).
cnf(c_0_66,negated_conjecture,
( ~ r4(X1,X1,X2)
| ~ r4(X3,X3,X4)
| ~ r3(esk12_2(X5,X5),X2,X6)
| ~ id(X6,X4) ),
inference(spm,[status(thm)],[c_0_62,c_0_35]) ).
cnf(c_0_67,plain,
r3(X1,esk12_2(X2,esk16_1(X2)),X1),
inference(spm,[status(thm)],[c_0_63,c_0_41]) ).
cnf(c_0_68,plain,
( r4(X1,X2,X3)
| ~ id(esk12_2(X4,X5),X3)
| ~ id(X5,X2)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_35]) ).
fof(c_0_69,plain,
! [X156,X157] :
( ~ id(X156,X157)
| id(X157,X156) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
cnf(c_0_70,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_71,negated_conjecture,
( ~ r4(X1,X1,esk12_2(X2,esk16_1(X2)))
| ~ r4(X3,X3,X4)
| ~ id(esk12_2(X5,X5),X4) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( r4(X1,X2,esk12_2(X3,X4))
| ~ id(X4,X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_41]) ).
cnf(c_0_73,plain,
( id(X2,X1)
| ~ id(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,plain,
id(esk16_1(X1),esk1_0),
inference(spm,[status(thm)],[c_0_24,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( ~ r4(X1,X1,esk12_2(X2,esk16_1(X2)))
| ~ r4(X3,X3,esk12_2(X4,X4)) ),
inference(spm,[status(thm)],[c_0_71,c_0_41]) ).
cnf(c_0_76,plain,
( r4(X1,X2,esk12_2(X3,X2))
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_41]) ).
cnf(c_0_77,plain,
id(esk1_0,esk16_1(X1)),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
~ r4(X1,X1,esk12_2(X2,esk16_1(X2))),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_79,plain,
r4(esk16_1(X1),X2,esk12_2(esk1_0,X2)),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN059+1 : TPTP v9.2.1. Bugfixed v7.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n003.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:21:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 15.49/9.98 % Version : CSE_E---1.7
% 15.49/9.98 % Problem : theBenchmark.p
% 15.49/9.98 % SZS status Theorem for theBenchmark.p
% 15.49/9.98 % SZS output start CNFRefutation
% See solution above
% 15.62/10.04 % Total time : 7.381s
%------------------------------------------------------------------------------