%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM846+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 04:58:42 PM UTC 2026
% Result : Theorem 0.28s 1.60s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_68)
% Comments :
%------------------------------------------------------------------------------
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X79,X80] :
( vplus(X79,vsucc(X80)) = vsucc(vplus(X79,X80))
& vplus(X79,v1) = vsucc(X79) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('ass(cond(261, 0), 0)',axiom,
! [X3,X4] : vmul(vsucc(X3),X4) = vplus(vmul(X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X6,X7] :
( vmul(X6,vsucc(X7)) = vplus(vmul(X6,X7),X6)
& vmul(X6,v1) = X6 ),
file('/export/starexec/sandbox2/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,
! [X73,X74] : vplus(vsucc(X73),X74) = vsucc(vplus(X73,X74)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X54,X55] :
( ~ greater(X54,X55)
| ~ less(X54,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X85,X86] :
( vsucc(X85) = vsucc(X86)
=> X85 = X86 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X83,X84] :
( X83 != X84
=> vsucc(X83) != vsucc(X84) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X54,X55] :
( X54 != X55
| ~ greater(X54,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X54,X55] :
( X54 != X55
| ~ less(X54,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X75] : vplus(v1,X75) = vsucc(X75),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X82] : vsucc(X82) != X82,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X81] :
( X81 != v1
=> X81 = vsucc(vskolem2(X81)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X87] : vsucc(X87) != v1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('holds(286, 441, 2)',conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
fof('holds(286, 441, 1)',axiom,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 1)') ).
fof('holds(286, 441, 0)',axiom,
vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(286, 441, 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X25,X26,X27] :
( greater(vplus(X25,X27),vplus(X26,X27))
=> greater(X25,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(goal(202), 0), 0)',axiom,
! [X25,X26,X27] :
( less(vplus(X25,X27),vplus(X26,X27))
=> less(X25,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof('ass(cond(223, 0), 0)',axiom,
! [X13,X14,X15,X16] :
( ( geq(X15,X16)
& geq(X13,X14) )
=> geq(vplus(X13,X15),vplus(X14,X16)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof('ass(cond(goal(216), 0), 0)',axiom,
! [X17,X18,X19,X20] :
( ( ( greater(X19,X20)
& geq(X17,X18) )
| ( geq(X19,X20)
& greater(X17,X18) ) )
=> greater(vplus(X17,X19),vplus(X18,X20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X21,X22,X23,X24] :
( ( greater(X23,X24)
& greater(X21,X22) )
=> greater(vplus(X21,X23),vplus(X22,X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X28,X29,X30] :
( greater(X28,X29)
=> greater(vplus(X28,X30),vplus(X29,X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X28,X29,X30] :
( less(X28,X29)
=> less(vplus(X28,X30),vplus(X29,X30)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X62,X63] :
( X62 = X63
| ? [X64] : X62 = vplus(X63,X64)
| ? [X65] : X63 = vplus(X62,X65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X76,X77,X78] : vplus(vplus(X76,X77),X78) = vplus(X76,vplus(X77,X78)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(241, 0), 0)',axiom,
! [X8,X9] :
( less(X8,vplus(X9,v1))
=> leq(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof('holds(284, 438, 1)',axiom,
vmul(vd436,vsucc(vd437)) = vplus(vmul(vd436,vd437),vd436),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(284, 438, 1)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X59,X60] :
( greater(X60,X59)
<=> ? [X61] : X60 = vplus(X59,X61) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X56,X57] :
( less(X57,X56)
<=> ? [X58] : X56 = vplus(X57,X58) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(234, 0), 0)',axiom,
! [X10,X11] :
( greater(X10,X11)
=> geq(X10,vplus(X11,v1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X33,X34,X35] :
( ( leq(X34,X35)
& leq(X33,X34) )
=> leq(X33,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X36,X37,X38] :
( ( ( less(X37,X38)
& leq(X36,X37) )
| ( leq(X37,X38)
& less(X36,X37) ) )
=> less(X36,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X39,X40,X41] :
( ( less(X40,X41)
& less(X39,X40) )
=> less(X39,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X62,X63] :
( ~ ? [X64] : X62 = vplus(X63,X64)
| ~ ? [X65] : X63 = vplus(X62,X65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X66,X67] :
( X66 != X67
=> ! [X68] : vplus(X68,X66) != vplus(X68,X67) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(202), 0), 1)',axiom,
! [X25,X26,X27] :
( vplus(X25,X27) = vplus(X26,X27)
=> X25 = X26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X31,X32] : greater(vplus(X31,X32),X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X48,X49] :
( geq(X49,X48)
<=> ( greater(X49,X48)
| X49 = X48 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X46,X47] :
( leq(X47,X46)
<=> ( less(X47,X46)
| X47 = X46 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X42,X43] :
( leq(X42,X43)
=> geq(X43,X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X50,X51] :
( less(X50,X51)
=> greater(X51,X50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X44,X45] :
( geq(X44,X45)
=> leq(X45,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X52,X53] :
( greater(X52,X53)
=> less(X53,X52) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X54,X55] :
( X54 = X55
| greater(X54,X55)
| less(X54,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X1,X2] : vmul(X1,X2) = vmul(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X71,X72] : vplus(X72,X71) = vplus(X71,X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X62,X63] :
( X62 != X63
| ~ ? [X64] : X62 = vplus(X63,X64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X62,X63] :
( X62 != X63
| ~ ? [X65] : X63 = vplus(X62,X65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X69,X70] : X70 != vplus(X69,X70),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X5] : vmul(v1,X5) = X5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof('ass(cond(228, 0), 0)',axiom,
! [X12] : geq(X12,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof('holds(284, 438, 2)',axiom,
vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(284, 438, 2)') ).
fof('holds(285, 440, 0)',axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof(i_0_53,plain,
! [X315,X316] :
( vplus(X315,vsucc(X316)) = vsucc(vplus(X315,X316))
& vplus(X315,v1) = vsucc(X315) ),
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_54,plain,
! [X205,X206] : vmul(vsucc(X205),X206) = vplus(vmul(X205,X206),X206),
inference(variable_rename,[status(thm)],['ass(cond(261, 0), 0)']) ).
fof(i_0_55,plain,
! [X208,X209] :
( vmul(X208,vsucc(X209)) = vplus(vmul(X208,X209),X208)
& vmul(X208,v1) = X208 ),
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_56,plain,
! [X309,X310] : vplus(vsucc(X309),X310) = vsucc(vplus(X309,X310)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_57,plain,
! [X54,X55] :
( ~ greater(X54,X55)
| ~ less(X54,X55) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_58,plain,
! [X321,X322] :
( vsucc(X321) != vsucc(X322)
| X321 = X322 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_59,plain,
! [X319,X320] :
( X319 = X320
| vsucc(X319) != vsucc(X320) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_60,plain,
! [X54,X55] :
( X54 != X55
| ~ greater(X54,X55) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_61,plain,
! [X54,X55] :
( X54 != X55
| ~ less(X54,X55) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_62,plain,
! [X311] : vplus(v1,X311) = vsucc(X311),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_63,plain,
! [X318] : vsucc(X318) != X318,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_64,plain,
! [X317] :
( X317 = v1
| X317 = vsucc(vskolem2(X317)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_65,plain,
! [X323] : vsucc(X323) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(i_0_66,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(286, 441, 2)'])]) ).
cnf(i_0_67,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(split_conjunct,[status(thm)],['holds(286, 441, 1)']) ).
cnf(i_0_68,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_53]) ).
cnf(i_0_69,plain,
vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))),
inference(split_conjunct,[status(thm)],['holds(286, 441, 0)']) ).
fof(i_0_70,plain,
! [X233,X234,X235] :
( ~ greater(vplus(X233,X235),vplus(X234,X235))
| greater(X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
fof(i_0_71,plain,
! [X227,X228,X229] :
( ~ less(vplus(X227,X229),vplus(X228,X229))
| less(X227,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).
fof(i_0_72,plain,
! [X215,X216,X217,X218] :
( ~ geq(X217,X218)
| ~ geq(X215,X216)
| geq(vplus(X215,X217),vplus(X216,X218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_73,plain,
! [X219,X220,X221,X222] :
( ( ~ greater(X221,X222)
| ~ geq(X219,X220)
| greater(vplus(X219,X221),vplus(X220,X222)) )
& ( ~ geq(X221,X222)
| ~ greater(X219,X220)
| greater(vplus(X219,X221),vplus(X220,X222)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(i_0_74,plain,
! [X223,X224,X225,X226] :
( ~ greater(X225,X226)
| ~ greater(X223,X224)
| greater(vplus(X223,X225),vplus(X224,X226)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(i_0_75,plain,
! [X242,X243,X244] :
( ~ greater(X242,X243)
| greater(vplus(X242,X244),vplus(X243,X244)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_76,plain,
! [X236,X237,X238] :
( ~ less(X236,X237)
| less(vplus(X236,X238),vplus(X237,X238)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_77,plain,
! [X288,X289] :
( X288 = X289
| X288 = vplus(X289,esk3_2(X288,X289))
| X289 = vplus(X288,esk4_2(X288,X289)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_78,plain,
! [X312,X313,X314] : vplus(vplus(X312,X313),X314) = vplus(X312,vplus(X313,X314)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_79,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[i_0_54]) ).
cnf(i_0_80,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_55]) ).
cnf(i_0_81,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_56]) ).
cnf(i_0_82,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_53]) ).
fof(i_0_83,plain,
! [X210,X211] :
( ~ less(X210,vplus(X211,v1))
| leq(X210,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
cnf(i_0_84,plain,
vmul(vd436,vsucc(vd437)) = vplus(vmul(vd436,vd437),vd436),
inference(split_conjunct,[status(thm)],['holds(284, 438, 1)']) ).
fof(i_0_85,plain,
! [X282,X283,X285,X286,X287] :
( ( ~ greater(X283,X282)
| X283 = vplus(X282,esk2_2(X282,X283)) )
& ( X286 != vplus(X285,X287)
| greater(X286,X285) ) ),
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_86,plain,
! [X276,X277,X279,X280,X281] :
( ( ~ less(X277,X276)
| X276 = vplus(X277,esk1_2(X276,X277)) )
& ( X279 != vplus(X280,X281)
| less(X280,X279) ) ),
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_87,plain,
! [X212,X213] :
( ~ greater(X212,X213)
| geq(X212,vplus(X213,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_88,plain,
! [X247,X248,X249] :
( ~ leq(X248,X249)
| ~ leq(X247,X248)
| leq(X247,X249) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_89,plain,
! [X250,X251,X252] :
( ( ~ less(X251,X252)
| ~ leq(X250,X251)
| less(X250,X252) )
& ( ~ leq(X251,X252)
| ~ less(X250,X251)
| less(X250,X252) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_90,plain,
! [X253,X254,X255] :
( ~ less(X254,X255)
| ~ less(X253,X254)
| less(X253,X255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_91,plain,
! [X295,X296,X297,X298] :
( X295 != vplus(X296,X297)
| X296 != vplus(X295,X298) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_92,plain,
! [X302,X303,X304] :
( X302 = X303
| vplus(X304,X302) != vplus(X304,X303) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_93,plain,
! [X230,X231,X232] :
( vplus(X230,X232) != vplus(X231,X232)
| X230 = X231 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).
fof(i_0_94,plain,
! [X272,X273] :
( ~ greater(X272,X273)
| ~ less(X272,X273) ),
inference(variable_rename,[status(thm)],[i_0_57]) ).
cnf(i_0_95,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]) ).
cnf(i_0_96,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]) ).
fof(i_0_97,plain,
! [X245,X246] : greater(vplus(X245,X246),X245),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_98,plain,
! [X262,X263] :
( ( ~ geq(X263,X262)
| greater(X263,X262)
| X263 = X262 )
& ( ~ greater(X263,X262)
| geq(X263,X262) )
& ( X263 != X262
| geq(X263,X262) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_99,plain,
! [X260,X261] :
( ( ~ leq(X261,X260)
| less(X261,X260)
| X261 = X260 )
& ( ~ less(X261,X260)
| leq(X261,X260) )
& ( X261 != X260
| leq(X261,X260) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_100,plain,
! [X256,X257] :
( ~ leq(X256,X257)
| geq(X257,X256) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_101,plain,
! [X264,X265] :
( ~ less(X264,X265)
| greater(X265,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_102,plain,
! [X258,X259] :
( ~ geq(X258,X259)
| leq(X259,X258) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_103,plain,
! [X266,X267] :
( ~ greater(X266,X267)
| less(X267,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_104,plain,
! [X268,X269] :
( X268 = X269
| greater(X268,X269)
| less(X268,X269) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_105,plain,
! [X203,X204] : vmul(X203,X204) = vmul(X204,X203),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(i_0_106,plain,
! [X307,X308] : vplus(X308,X307) = vplus(X307,X308),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_107,plain,
! [X299,X300,X301] :
( X299 != X300
| X299 != vplus(X300,X301) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_108,plain,
! [X292,X293,X294] :
( X292 != X293
| X293 != vplus(X292,X294) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_109,plain,
! [X274,X275] :
( X274 != X275
| ~ greater(X274,X275) ),
inference(variable_rename,[status(thm)],[i_0_60]) ).
fof(i_0_110,plain,
! [X270,X271] :
( X270 != X271
| ~ less(X270,X271) ),
inference(variable_rename,[status(thm)],[i_0_61]) ).
cnf(i_0_111,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_62]) ).
fof(i_0_112,plain,
! [X305,X306] : X306 != vplus(X305,X306),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_113,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_114,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_115,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_65]) ).
fof(i_0_116,plain,
! [X207] : vmul(v1,X207) = X207,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
fof(i_0_117,plain,
! [X214] : geq(X214,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_118,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_119,plain,
vmul(vd436,vplus(vplus(vd437,vd439),v1)) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(rw,[status(thm)],[i_0_67,c_0_68]),
[final] ).
cnf(i_0_120,plain,
vmul(vd436,vplus(vd437,vplus(vd439,v1))) = vmul(vd436,vplus(vplus(vd437,vd439),v1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_69,c_0_68]),c_0_68]),
[final] ).
cnf(i_0_121,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_122,plain,
( less(X1,X3)
| ~ less(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_123,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_124,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_125,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_126,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_127,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_128,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_129,plain,
vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)),
inference(split_conjunct,[status(thm)],['holds(284, 438, 2)']),
[final] ).
cnf(i_0_130,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(split_conjunct,[status(thm)],['holds(285, 440, 0)']),
[final] ).
cnf(i_0_131,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_132,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_133,plain,
vmul(vplus(X1,v1),X2) = vplus(vmul(X1,X2),X2),
inference(rw,[status(thm)],[i_0_79,c_0_68]),
[final] ).
cnf(i_0_134,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[i_0_80,c_0_68]),
[final] ).
cnf(i_0_135,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_81,c_0_68]),c_0_68]),
[final] ).
cnf(i_0_136,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_82,c_0_68]),c_0_68]),
[final] ).
cnf(i_0_137,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_138,plain,
vmul(vd436,vplus(vd437,v1)) = vplus(vmul(vd436,vd437),vd436),
inference(rw,[status(thm)],[i_0_84,c_0_68]),
[final] ).
cnf(i_0_139,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_140,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_141,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_142,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_143,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_144,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_145,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_146,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_147,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_148,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_149,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_150,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_95,c_0_68]),c_0_68]),
[final] ).
cnf(i_0_151,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_96,c_0_68]),c_0_68]),
[final] ).
cnf(i_0_152,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_153,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_154,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_155,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_156,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_157,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_158,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_159,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_160,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_161,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_162,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_163,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_164,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_165,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_166,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_167,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_168,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_169,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_170,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_111,c_0_68]),
[final] ).
cnf(i_0_171,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_172,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_113,c_0_68]),
[final] ).
cnf(i_0_173,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_114,c_0_68]),
[final] ).
cnf(i_0_174,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_115,c_0_68]),
[final] ).
cnf(i_0_175,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_176,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_177,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_178,plain,
vmul(X1,v1) = X1,
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_179,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_180,axiom,
X1 = X1 ).
cnf(i_0_181,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_182,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_183,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_180_001,axiom,
X1 = X1 ).
cnf(i_0_181_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_182_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_183_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_184_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_185_006,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_186_007,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_187_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_188_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_189_010,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_190_011,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_191_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_192_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_193_014,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_194_015,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_195,plain,
X1 = X1,
inference(equality_inference,[],[147]) ).
cnf(i_0_196,plain,
X1 = X1,
inference(equality_inference,[],[148]) ).
cnf(i_0_197,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[155]) ).
cnf(i_0_198,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[156]) ).
cnf(i_0_199,plain,
~ greater(X1,X1),
inference(equality_inference,[],[168]) ).
cnf(i_0_200,plain,
~ less(X1,X1),
inference(equality_inference,[],[169]) ).
cnf(i_0_201,plain,
geq(X1,X1),
inference(equality_inference,[],[175]) ).
cnf(i_0_202,plain,
leq(X1,X1),
inference(equality_inference,[],[176]) ).
cnf(i_0_203,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_165,i_0_146]) ).
cnf(i_0_204,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_205,plain,
vd436 = vmul(vd436,v1),
inference(scs_inference,[],[i_0_165,i_0_129,i_0_146,i_0_147]) ).
cnf(i_0_206,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_207,plain,
X1 = vmul(v1,X1),
inference(scs_inference,[],[i_0_165,i_0_177,i_0_129,i_0_146,i_0_147,i_0_181]) ).
cnf(i_0_208,plain,
$false,
inference(scs_inference,[],[i_0_118,i_0_165,i_0_177,i_0_130,i_0_129,i_0_146,i_0_147,i_0_181,i_0_183]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM846+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.31 % Computer : n005.cluster.edu
% 0.15/0.31 % Model : x86_64 x86_64
% 0.15/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31 % Memory : 8042.1875MB
% 0.15/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:15:16 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 0.28/1.60 % Version : CSE_E---1.7
% 0.28/1.60 % Problem : theBenchmark.p
% 0.28/1.60 % SZS status Theorem for theBenchmark.p
% 0.28/1.60 % SZS output start CNFRefutation
% See solution above
% 0.28/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------