%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM850+2 : TPTP v9.2.1. Released v4.1.0.
% 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 : n010.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 04:58:44 PM UTC 2026
% Result : Theorem 0.28s 1.61s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_76)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(261, 0), 0)',axiom,
! [X10,X11] : vmul(vsucc(X10),X11) = vplus(vmul(X10,X11),X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X84,X85] :
( vplus(X84,vsucc(X85)) = vsucc(vplus(X84,X85))
& vplus(X84,v1) = vsucc(X84) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X13,X14] :
( vmul(X13,vsucc(X14)) = vplus(vmul(X13,X14),X13)
& vmul(X13,v1) = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof('ass(cond(52, 0), 0)',axiom,
! [X78,X79] : vplus(vsucc(X78),X79) = vsucc(vplus(X78,X79)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X59,X60] :
( ~ greater(X59,X60)
| ~ less(X59,X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X90,X91] :
( vsucc(X90) = vsucc(X91)
=> X90 = X91 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X88,X89] :
( X88 != X89
=> vsucc(X88) != vsucc(X89) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X59,X60] :
( X59 != X60
| ~ less(X59,X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X59,X60] :
( X59 != X60
| ~ greater(X59,X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X80] : vplus(v1,X80) = vsucc(X80),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X87] : vsucc(X87) != X87,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X86] :
( X86 != v1
=> X86 = vsucc(vskolem2(X86)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X92] : vsucc(X92) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('qe(conseq_conjunct1(conseq(302)))',conjecture,
? [X1] : vd470 = vplus(vd471,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).
fof('ass(cond(goal(202), 0), 0)',axiom,
! [X32,X33,X34] :
( less(vplus(X32,X34),vplus(X33,X34))
=> less(X32,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X32,X33,X34] :
( greater(vplus(X32,X34),vplus(X33,X34))
=> greater(X32,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(223, 0), 0)',axiom,
! [X20,X21,X22,X23] :
( ( geq(X22,X23)
& geq(X20,X21) )
=> geq(vplus(X20,X22),vplus(X21,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof('ass(cond(goal(216), 0), 0)',axiom,
! [X24,X25,X26,X27] :
( ( ( greater(X26,X27)
& geq(X24,X25) )
| ( geq(X26,X27)
& greater(X24,X25) ) )
=> greater(vplus(X24,X26),vplus(X25,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X28,X29,X30,X31] :
( ( greater(X30,X31)
& greater(X28,X29) )
=> greater(vplus(X28,X30),vplus(X29,X31)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof('ass(cond(281, 0), 0)',axiom,
! [X5,X6,X7] : vmul(X5,vplus(X6,X7)) = vplus(vmul(X5,X6),vmul(X5,X7)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X35,X36,X37] :
( less(X35,X36)
=> less(vplus(X35,X37),vplus(X36,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X35,X36,X37] :
( greater(X35,X36)
=> greater(vplus(X35,X37),vplus(X36,X37)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X67,X68] :
( X67 = X68
| ? [X69] : X67 = vplus(X68,X69)
| ? [X70] : X68 = vplus(X67,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(290, 0), 0)',axiom,
! [X2,X3,X4] : vmul(vmul(X2,X3),X4) = vmul(X2,vmul(X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X81,X82,X83] : vplus(vplus(X81,X82),X83) = vplus(X81,vplus(X82,X83)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(241, 0), 0)',axiom,
! [X15,X16] :
( less(X15,vplus(X16,v1))
=> leq(X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X64,X65] :
( greater(X65,X64)
<=> ? [X66] : X65 = vplus(X64,X66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X61,X62] :
( less(X62,X61)
<=> ? [X63] : X61 = vplus(X62,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(234, 0), 0)',axiom,
! [X17,X18] :
( greater(X17,X18)
=> geq(X17,vplus(X18,v1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X40,X41,X42] :
( ( leq(X41,X42)
& leq(X40,X41) )
=> leq(X40,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X43,X44,X45] :
( ( ( less(X44,X45)
& leq(X43,X44) )
| ( leq(X44,X45)
& less(X43,X44) ) )
=> less(X43,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X46,X47,X48] :
( ( less(X47,X48)
& less(X46,X47) )
=> less(X46,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X67,X68] :
( ~ ? [X69] : X67 = vplus(X68,X69)
| ~ ? [X70] : X68 = vplus(X67,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X71,X72] :
( X71 != X72
=> ! [X73] : vplus(X73,X71) != vplus(X73,X72) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(202), 0), 1)',axiom,
! [X32,X33,X34] :
( vplus(X32,X34) = vplus(X33,X34)
=> X32 = X33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X38,X39] : greater(vplus(X38,X39),X38),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X51,X52] :
( leq(X52,X51)
<=> ( less(X52,X51)
| X52 = X51 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X53,X54] :
( geq(X54,X53)
<=> ( greater(X54,X53)
| X54 = X53 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X49,X50] :
( leq(X49,X50)
=> geq(X50,X49) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X57,X58] :
( greater(X57,X58)
=> less(X58,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X55,X56] :
( less(X55,X56)
=> greater(X56,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X59,X60] :
( X59 = X60
| greater(X59,X60)
| less(X59,X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X8,X9] : vmul(X8,X9) = vmul(X9,X8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X76,X77] : vplus(X77,X76) = vplus(X76,X77),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X67,X68] :
( X67 != X68
| ~ ? [X69] : X67 = vplus(X68,X69) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X67,X68] :
( X67 != X68
| ~ ? [X70] : X68 = vplus(X67,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X74,X75] : X75 != vplus(X74,X75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X12] : vmul(v1,X12) = X12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof('ass(cond(228, 0), 0)',axiom,
! [X19] : geq(X19,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof('holds(antec(302), 472, 0)',axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).
fof(i_0_50,plain,
! [X222,X223] : vmul(vsucc(X222),X223) = vplus(vmul(X222,X223),X223),
inference(variable_rename,[status(thm)],['ass(cond(261, 0), 0)']) ).
fof(i_0_51,plain,
! [X330,X331] :
( vplus(X330,vsucc(X331)) = vsucc(vplus(X330,X331))
& vplus(X330,v1) = vsucc(X330) ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).
fof(i_0_52,plain,
! [X225,X226] :
( vmul(X225,vsucc(X226)) = vplus(vmul(X225,X226),X225)
& vmul(X225,v1) = X225 ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).
fof(i_0_53,plain,
! [X324,X325] : vplus(vsucc(X324),X325) = vsucc(vplus(X324,X325)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_54,plain,
! [X59,X60] :
( ~ greater(X59,X60)
| ~ less(X59,X60) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_55,plain,
! [X336,X337] :
( vsucc(X336) != vsucc(X337)
| X336 = X337 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_56,plain,
! [X334,X335] :
( X334 = X335
| vsucc(X334) != vsucc(X335) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_57,plain,
! [X59,X60] :
( X59 != X60
| ~ less(X59,X60) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_58,plain,
! [X59,X60] :
( X59 != X60
| ~ greater(X59,X60) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_59,plain,
! [X326] : vplus(v1,X326) = vsucc(X326),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_60,plain,
! [X333] : vsucc(X333) != X333,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_61,plain,
! [X332] :
( X332 = v1
| X332 = vsucc(vskolem2(X332)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_62,plain,
! [X338] : vsucc(X338) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(i_0_63,negated_conjecture,
~ ? [X1] : vd470 = vplus(vd471,X1),
inference(assume_negation,[status(cth)],['qe(conseq_conjunct1(conseq(302)))']) ).
fof(i_0_64,plain,
! [X244,X245,X246] :
( ~ less(vplus(X244,X246),vplus(X245,X246))
| less(X244,X245) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).
fof(i_0_65,plain,
! [X250,X251,X252] :
( ~ greater(vplus(X250,X252),vplus(X251,X252))
| greater(X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
fof(i_0_66,plain,
! [X232,X233,X234,X235] :
( ~ geq(X234,X235)
| ~ geq(X232,X233)
| geq(vplus(X232,X234),vplus(X233,X235)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_67,plain,
! [X236,X237,X238,X239] :
( ( ~ greater(X238,X239)
| ~ geq(X236,X237)
| greater(vplus(X236,X238),vplus(X237,X239)) )
& ( ~ geq(X238,X239)
| ~ greater(X236,X237)
| greater(vplus(X236,X238),vplus(X237,X239)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(i_0_68,plain,
! [X240,X241,X242,X243] :
( ~ greater(X242,X243)
| ~ greater(X240,X241)
| greater(vplus(X240,X242),vplus(X241,X243)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(i_0_69,plain,
! [X217,X218,X219] : vmul(X217,vplus(X218,X219)) = vplus(vmul(X217,X218),vmul(X217,X219)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
fof(i_0_70,plain,
! [X253,X254,X255] :
( ~ less(X253,X254)
| less(vplus(X253,X255),vplus(X254,X255)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_71,plain,
! [X259,X260,X261] :
( ~ greater(X259,X260)
| greater(vplus(X259,X261),vplus(X260,X261)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_72,plain,
! [X303,X304] :
( X303 = X304
| X303 = vplus(X304,esk3_2(X303,X304))
| X304 = vplus(X303,esk4_2(X303,X304)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_73,plain,
! [X214,X215,X216] : vmul(vmul(X214,X215),X216) = vmul(X214,vmul(X215,X216)),
inference(variable_rename,[status(thm)],['ass(cond(290, 0), 0)']) ).
fof(i_0_74,plain,
! [X327,X328,X329] : vplus(vplus(X327,X328),X329) = vplus(X327,vplus(X328,X329)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_75,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[i_0_50]) ).
cnf(i_0_76,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_51]) ).
cnf(i_0_77,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_52]) ).
cnf(i_0_78,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_53]) ).
cnf(i_0_79,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_51]) ).
fof(i_0_80,plain,
! [X227,X228] :
( ~ less(X227,vplus(X228,v1))
| leq(X227,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
fof(i_0_81,plain,
! [X297,X298,X300,X301,X302] :
( ( ~ greater(X298,X297)
| X298 = vplus(X297,esk2_2(X297,X298)) )
& ( X301 != vplus(X300,X302)
| greater(X301,X300) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])]) ).
fof(i_0_82,plain,
! [X291,X292,X294,X295,X296] :
( ( ~ less(X292,X291)
| X291 = vplus(X292,esk1_2(X291,X292)) )
& ( X294 != vplus(X295,X296)
| less(X295,X294) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])]) ).
fof(i_0_83,plain,
! [X229,X230] :
( ~ greater(X229,X230)
| geq(X229,vplus(X230,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_84,plain,
! [X264,X265,X266] :
( ~ leq(X265,X266)
| ~ leq(X264,X265)
| leq(X264,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_85,plain,
! [X267,X268,X269] :
( ( ~ less(X268,X269)
| ~ leq(X267,X268)
| less(X267,X269) )
& ( ~ leq(X268,X269)
| ~ less(X267,X268)
| less(X267,X269) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_86,plain,
! [X270,X271,X272] :
( ~ less(X271,X272)
| ~ less(X270,X271)
| less(X270,X272) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_87,plain,
! [X310,X311,X312,X313] :
( X310 != vplus(X311,X312)
| X311 != vplus(X310,X313) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_88,plain,
! [X317,X318,X319] :
( X317 = X318
| vplus(X319,X317) != vplus(X319,X318) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_89,plain,
! [X247,X248,X249] :
( vplus(X247,X249) != vplus(X248,X249)
| X247 = X248 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).
fof(i_0_90,plain,
! [X287,X288] :
( ~ greater(X287,X288)
| ~ less(X287,X288) ),
inference(variable_rename,[status(thm)],[i_0_54]) ).
cnf(i_0_91,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_55]) ).
cnf(i_0_92,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]) ).
fof(i_0_93,plain,
! [X262,X263] : greater(vplus(X262,X263),X262),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_94,plain,
! [X275,X276] :
( ( ~ leq(X276,X275)
| less(X276,X275)
| X276 = X275 )
& ( ~ less(X276,X275)
| leq(X276,X275) )
& ( X276 != X275
| leq(X276,X275) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_95,plain,
! [X277,X278] :
( ( ~ geq(X278,X277)
| greater(X278,X277)
| X278 = X277 )
& ( ~ greater(X278,X277)
| geq(X278,X277) )
& ( X278 != X277
| geq(X278,X277) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_96,plain,
! [X273,X274] :
( ~ leq(X273,X274)
| geq(X274,X273) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_97,plain,
! [X281,X282] :
( ~ greater(X281,X282)
| less(X282,X281) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_98,plain,
! [X279,X280] :
( ~ less(X279,X280)
| greater(X280,X279) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_99,plain,
! [X283,X284] :
( X283 = X284
| greater(X283,X284)
| less(X283,X284) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_100,plain,
! [X220,X221] : vmul(X220,X221) = vmul(X221,X220),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(i_0_101,plain,
! [X322,X323] : vplus(X323,X322) = vplus(X322,X323),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_102,plain,
! [X314,X315,X316] :
( X314 != X315
| X314 != vplus(X315,X316) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_103,plain,
! [X307,X308,X309] :
( X307 != X308
| X308 != vplus(X307,X309) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_104,plain,
! [X285,X286] :
( X285 != X286
| ~ less(X285,X286) ),
inference(variable_rename,[status(thm)],[i_0_57]) ).
fof(i_0_105,plain,
! [X289,X290] :
( X289 != X290
| ~ greater(X289,X290) ),
inference(variable_rename,[status(thm)],[i_0_58]) ).
cnf(i_0_106,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_59]) ).
fof(i_0_107,plain,
! [X320,X321] : X321 != vplus(X320,X321),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_108,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_60]) ).
cnf(i_0_109,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_61]) ).
cnf(i_0_110,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_62]) ).
fof(i_0_111,negated_conjecture,
! [X213] : vd470 != vplus(vd471,X213),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])]) ).
fof(i_0_112,plain,
! [X224] : vmul(v1,X224) = X224,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
fof(i_0_113,plain,
! [X231] : geq(X231,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_114,plain,
( less(X1,X3)
| ~ less(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_115,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_116,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_118,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_119,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_120,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_121,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_122,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_123,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_124,plain,
vmul(vmul(X1,X2),X3) = vmul(X1,vmul(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_126,plain,
vmul(vplus(X1,v1),X2) = vplus(vmul(X1,X2),X2),
inference(rw,[status(thm)],[i_0_75,c_0_76]),
[final] ).
cnf(i_0_127,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[i_0_77,c_0_76]),
[final] ).
cnf(i_0_128,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_78,c_0_76]),c_0_76]),
[final] ).
cnf(i_0_129,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_79,c_0_76]),c_0_76]),
[final] ).
cnf(i_0_130,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_131,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_132,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_133,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_134,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_135,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_136,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_137,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_138,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_139,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_140,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_141,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_142,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_91,c_0_76]),c_0_76]),
[final] ).
cnf(i_0_143,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_92,c_0_76]),c_0_76]),
[final] ).
cnf(i_0_144,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_145,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_146,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_147,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_148,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_149,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_150,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_151,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_152,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_153,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_154,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_155,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_156,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_157,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_158,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_159,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_160,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_161,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_106,c_0_76]),
[final] ).
cnf(i_0_162,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_163,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_108,c_0_76]),
[final] ).
cnf(i_0_164,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_109,c_0_76]),
[final] ).
cnf(i_0_165,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_110,c_0_76]),
[final] ).
cnf(i_0_166,negated_conjecture,
vd470 != vplus(vd471,X1),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_167,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_168,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_169,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_170,plain,
vmul(X1,v1) = X1,
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_171,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_172,plain,
greater(vd470,vd471),
inference(split_conjunct,[status(thm)],['holds(antec(302), 472, 0)']),
[final] ).
cnf(i_0_173,axiom,
X1 = X1 ).
cnf(i_0_174,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_175,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_176,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_173_001,axiom,
X1 = X1 ).
cnf(i_0_174_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_175_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_176_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_177_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_178_006,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_179_007,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_180_008,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_181_009,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_182_010,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_183_011,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_184_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_185_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_186_014,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_187_015,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_188,plain,
X1 = X1,
inference(equality_inference,[],[139]) ).
cnf(i_0_189,plain,
X1 = X1,
inference(equality_inference,[],[140]) ).
cnf(i_0_190,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[147]) ).
cnf(i_0_191,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[148]) ).
cnf(i_0_192,plain,
~ less(X1,X1),
inference(equality_inference,[],[159]) ).
cnf(i_0_193,plain,
~ greater(X1,X1),
inference(equality_inference,[],[160]) ).
cnf(i_0_194,plain,
geq(X1,X1),
inference(equality_inference,[],[167]) ).
cnf(i_0_195,plain,
leq(X1,X1),
inference(equality_inference,[],[168]) ).
cnf(i_0_196,plain,
$false,
inference(scs_inference,[],[i_0_166,i_0_172,i_0_131]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM850+2 : TPTP v9.2.1. Released v4.1.0.
% 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
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:16:06 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.28/1.61 % Version : CSE_E---1.7
% 0.28/1.61 % Problem : theBenchmark.p
% 0.28/1.61 % SZS status Theorem for theBenchmark.p
% 0.28/1.61 % SZS output start CNFRefutation
% See solution above
% 0.28/1.63 % Total time : 1.270s
%------------------------------------------------------------------------------