%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM843+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 : n031.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 0.38s 1.61s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_66)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(52, 0), 0)',axiom,
! [X64,X65] : vplus(vsucc(X64),X65) = vsucc(vplus(X64,X65)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X70,X71] :
( vplus(X70,vsucc(X71)) = vsucc(vplus(X70,X71))
& vplus(X70,v1) = vsucc(X70) ),
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('ass(cond(goal(130), 0), 2)',axiom,
! [X45,X46] :
( ~ greater(X45,X46)
| ~ less(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X76,X77] :
( vsucc(X76) = vsucc(X77)
=> X76 = X77 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X74,X75] :
( X74 != X75
=> vsucc(X74) != vsucc(X75) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X45,X46] :
( X45 != X46
| ~ less(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X45,X46] :
( X45 != X46
| ~ greater(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X66] : vplus(v1,X66) = vsucc(X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X73] : vsucc(X73) != X73,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X72] :
( X72 != v1
=> X72 = vsucc(vskolem2(X72)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X78] : vsucc(X78) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('ass(cond(goal(202), 0), 0)',axiom,
! [X16,X17,X18] :
( less(vplus(X16,X18),vplus(X17,X18))
=> less(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X16,X17,X18] :
( greater(vplus(X16,X18),vplus(X17,X18))
=> greater(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(223, 0), 0)',axiom,
! [X4,X5,X6,X7] :
( ( geq(X6,X7)
& geq(X4,X5) )
=> geq(vplus(X4,X6),vplus(X5,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof('ass(cond(goal(216), 0), 0)',axiom,
! [X8,X9,X10,X11] :
( ( ( greater(X10,X11)
& geq(X8,X9) )
| ( geq(X10,X11)
& greater(X8,X9) ) )
=> greater(vplus(X8,X10),vplus(X9,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X12,X13,X14,X15] :
( ( greater(X14,X15)
& greater(X12,X13) )
=> greater(vplus(X12,X14),vplus(X13,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X19,X20,X21] :
( less(X19,X20)
=> less(vplus(X19,X21),vplus(X20,X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X19,X20,X21] :
( greater(X19,X20)
=> greater(vplus(X19,X21),vplus(X20,X21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X53,X54] :
( X53 = X54
| ? [X55] : X53 = vplus(X54,X55)
| ? [X56] : X54 = vplus(X53,X56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X67,X68,X69] : vplus(vplus(X67,X68),X69) = vplus(X67,vplus(X68,X69)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X50,X51] :
( greater(X51,X50)
<=> ? [X52] : X51 = vplus(X50,X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X47,X48] :
( less(X48,X47)
<=> ? [X49] : X47 = vplus(X48,X49) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(234, 0), 0)',axiom,
! [X1,X2] :
( greater(X1,X2)
=> geq(X1,vplus(X2,v1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X30,X31,X32] :
( ( less(X31,X32)
& less(X30,X31) )
=> less(X30,X32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X27,X28,X29] :
( ( ( less(X28,X29)
& leq(X27,X28) )
| ( leq(X28,X29)
& less(X27,X28) ) )
=> less(X27,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X24,X25,X26] :
( ( leq(X25,X26)
& leq(X24,X25) )
=> leq(X24,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X53,X54] :
( ~ ? [X55] : X53 = vplus(X54,X55)
| ~ ? [X56] : X54 = vplus(X53,X56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X57,X58] :
( X57 != X58
=> ! [X59] : vplus(X59,X57) != vplus(X59,X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(202), 0), 1)',axiom,
! [X16,X17,X18] :
( vplus(X16,X18) = vplus(X17,X18)
=> X16 = X17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X22,X23] : greater(vplus(X22,X23),X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X37,X38] :
( leq(X38,X37)
<=> ( less(X38,X37)
| X38 = X37 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X39,X40] :
( geq(X40,X39)
<=> ( greater(X40,X39)
| X40 = X39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X33,X34] :
( leq(X33,X34)
=> geq(X34,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X43,X44] :
( greater(X43,X44)
=> less(X44,X43) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X35,X36] :
( geq(X35,X36)
=> leq(X36,X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X41,X42] :
( less(X41,X42)
=> greater(X42,X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X45,X46] :
( X45 = X46
| greater(X45,X46)
| less(X45,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X62,X63] : vplus(X63,X62) = vplus(X62,X63),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X53,X54] :
( X53 != X54
| ~ ? [X55] : X53 = vplus(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X53,X54] :
( X53 != X54
| ~ ? [X56] : X54 = vplus(X53,X56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X60,X61] : X61 != vplus(X60,X61),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('holds(conjunct2(243), 393, 0)',axiom,
~ leq(vd390,vd391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(243), 393, 0)') ).
fof('holds(244, 394, 0)',conjecture,
greater(vd390,vd391),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(244, 394, 0)') ).
fof('ass(cond(228, 0), 0)',axiom,
! [X3] : geq(X3,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof('holds(conjunct1(243), 392, 0)',axiom,
less(vd390,vplus(vd391,v1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(243), 392, 0)') ).
fof(i_0_45,plain,
! [X282,X283] : vplus(vsucc(X282),X283) = vsucc(vplus(X282,X283)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_46,plain,
! [X288,X289] :
( vplus(X288,vsucc(X289)) = vsucc(vplus(X288,X289))
& vplus(X288,v1) = vsucc(X288) ),
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_47,plain,
! [X45,X46] :
( ~ greater(X45,X46)
| ~ less(X45,X46) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_48,plain,
! [X294,X295] :
( vsucc(X294) != vsucc(X295)
| X294 = X295 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_49,plain,
! [X292,X293] :
( X292 = X293
| vsucc(X292) != vsucc(X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_50,plain,
! [X45,X46] :
( X45 != X46
| ~ less(X45,X46) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_51,plain,
! [X45,X46] :
( X45 != X46
| ~ greater(X45,X46) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_52,plain,
! [X284] : vplus(v1,X284) = vsucc(X284),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_53,plain,
! [X291] : vsucc(X291) != X291,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_54,plain,
! [X290] :
( X290 = v1
| X290 = vsucc(vskolem2(X290)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_55,plain,
! [X296] : vsucc(X296) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(i_0_56,plain,
! [X200,X201,X202] :
( ~ less(vplus(X200,X202),vplus(X201,X202))
| less(X200,X201) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).
fof(i_0_57,plain,
! [X206,X207,X208] :
( ~ greater(vplus(X206,X208),vplus(X207,X208))
| greater(X206,X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
fof(i_0_58,plain,
! [X188,X189,X190,X191] :
( ~ geq(X190,X191)
| ~ geq(X188,X189)
| geq(vplus(X188,X190),vplus(X189,X191)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_59,plain,
! [X192,X193,X194,X195] :
( ( ~ greater(X194,X195)
| ~ geq(X192,X193)
| greater(vplus(X192,X194),vplus(X193,X195)) )
& ( ~ geq(X194,X195)
| ~ greater(X192,X193)
| greater(vplus(X192,X194),vplus(X193,X195)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(i_0_60,plain,
! [X196,X197,X198,X199] :
( ~ greater(X198,X199)
| ~ greater(X196,X197)
| greater(vplus(X196,X198),vplus(X197,X199)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(i_0_61,plain,
! [X209,X210,X211] :
( ~ less(X209,X210)
| less(vplus(X209,X211),vplus(X210,X211)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_62,plain,
! [X215,X216,X217] :
( ~ greater(X215,X216)
| greater(vplus(X215,X217),vplus(X216,X217)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_63,plain,
! [X261,X262] :
( X261 = X262
| X261 = vplus(X262,esk3_2(X261,X262))
| X262 = vplus(X261,esk4_2(X261,X262)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_64,plain,
! [X285,X286,X287] : vplus(vplus(X285,X286),X287) = vplus(X285,vplus(X286,X287)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_65,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_45]) ).
cnf(i_0_66,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_46]) ).
cnf(i_0_67,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_46]) ).
fof(i_0_68,plain,
! [X255,X256,X258,X259,X260] :
( ( ~ greater(X256,X255)
| X256 = vplus(X255,esk2_2(X255,X256)) )
& ( X259 != vplus(X258,X260)
| greater(X259,X258) ) ),
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_69,plain,
! [X249,X250,X252,X253,X254] :
( ( ~ less(X250,X249)
| X249 = vplus(X250,esk1_2(X249,X250)) )
& ( X252 != vplus(X253,X254)
| less(X253,X252) ) ),
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_70,plain,
! [X185,X186] :
( ~ greater(X185,X186)
| geq(X185,vplus(X186,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_71,plain,
! [X226,X227,X228] :
( ~ less(X227,X228)
| ~ less(X226,X227)
| less(X226,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_72,plain,
! [X223,X224,X225] :
( ( ~ less(X224,X225)
| ~ leq(X223,X224)
| less(X223,X225) )
& ( ~ leq(X224,X225)
| ~ less(X223,X224)
| less(X223,X225) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_73,plain,
! [X220,X221,X222] :
( ~ leq(X221,X222)
| ~ leq(X220,X221)
| leq(X220,X222) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_74,plain,
! [X268,X269,X270,X271] :
( X268 != vplus(X269,X270)
| X269 != vplus(X268,X271) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_75,plain,
! [X275,X276,X277] :
( X275 = X276
| vplus(X277,X275) != vplus(X277,X276) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_76,plain,
! [X203,X204,X205] :
( vplus(X203,X205) != vplus(X204,X205)
| X203 = X204 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).
fof(i_0_77,plain,
! [X245,X246] :
( ~ greater(X245,X246)
| ~ less(X245,X246) ),
inference(variable_rename,[status(thm)],[i_0_47]) ).
cnf(i_0_78,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_48]) ).
cnf(i_0_79,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]) ).
fof(i_0_80,plain,
! [X218,X219] : greater(vplus(X218,X219),X218),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_81,plain,
! [X233,X234] :
( ( ~ leq(X234,X233)
| less(X234,X233)
| X234 = X233 )
& ( ~ less(X234,X233)
| leq(X234,X233) )
& ( X234 != X233
| leq(X234,X233) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_82,plain,
! [X235,X236] :
( ( ~ geq(X236,X235)
| greater(X236,X235)
| X236 = X235 )
& ( ~ greater(X236,X235)
| geq(X236,X235) )
& ( X236 != X235
| geq(X236,X235) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_83,plain,
! [X229,X230] :
( ~ leq(X229,X230)
| geq(X230,X229) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_84,plain,
! [X239,X240] :
( ~ greater(X239,X240)
| less(X240,X239) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_85,plain,
! [X231,X232] :
( ~ geq(X231,X232)
| leq(X232,X231) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_86,plain,
! [X237,X238] :
( ~ less(X237,X238)
| greater(X238,X237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_87,plain,
! [X241,X242] :
( X241 = X242
| greater(X241,X242)
| less(X241,X242) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_88,plain,
! [X280,X281] : vplus(X281,X280) = vplus(X280,X281),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_89,plain,
! [X272,X273,X274] :
( X272 != X273
| X272 != vplus(X273,X274) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_90,plain,
! [X265,X266,X267] :
( X265 != X266
| X266 != vplus(X265,X267) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_91,plain,
! [X243,X244] :
( X243 != X244
| ~ less(X243,X244) ),
inference(variable_rename,[status(thm)],[i_0_50]) ).
fof(i_0_92,plain,
! [X247,X248] :
( X247 != X248
| ~ greater(X247,X248) ),
inference(variable_rename,[status(thm)],[i_0_51]) ).
cnf(i_0_93,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_52]) ).
fof(i_0_94,plain,
! [X278,X279] : X279 != vplus(X278,X279),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_95,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_53]) ).
cnf(i_0_96,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_54]) ).
cnf(i_0_97,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_55]) ).
fof(i_0_98,plain,
~ leq(vd390,vd391),
inference(fof_simplification,[status(thm)],['holds(conjunct2(243), 393, 0)']) ).
fof(i_0_99,negated_conjecture,
~ greater(vd390,vd391),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(244, 394, 0)'])]) ).
fof(i_0_100,plain,
! [X187] : geq(X187,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_101,plain,
( less(X1,X3)
| ~ less(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_102,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_103,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_104,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_105,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_106,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_107,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_108,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_109,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_110,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_111,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_65,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_112,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_67,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_113,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_114,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_115,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_116,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_117,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_118,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_119,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_120,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_121,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_122,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_123,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_124,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_78,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_125,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_79,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_126,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_127,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_128,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_129,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_130,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_131,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_132,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_133,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_134,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_135,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_136,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_137,plain,
less(vd390,vplus(vd391,v1)),
inference(split_conjunct,[status(thm)],['holds(conjunct1(243), 392, 0)']),
[final] ).
cnf(i_0_138,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_139,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_140,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_141,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_142,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_143,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_144,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_93,c_0_66]),
[final] ).
cnf(i_0_145,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_146,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_95,c_0_66]),
[final] ).
cnf(i_0_147,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_96,c_0_66]),
[final] ).
cnf(i_0_148,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_97,c_0_66]),
[final] ).
cnf(i_0_149,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_150,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_151,plain,
~ leq(vd390,vd391),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_152,negated_conjecture,
~ greater(vd390,vd391),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_153,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_154,axiom,
X1 = X1 ).
cnf(i_0_155,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_156,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_157,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_158,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_159,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_160,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_161,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_162,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_163,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_164,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_165,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_166,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_154_001,axiom,
X1 = X1 ).
cnf(i_0_155_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_156_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_157_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_158_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_159_006,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_160_007,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_161_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_162_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_163_010,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_164_011,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_165_012,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_166_013,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_167,plain,
X1 = X1,
inference(equality_inference,[],[121]) ).
cnf(i_0_168,plain,
X1 = X1,
inference(equality_inference,[],[122]) ).
cnf(i_0_169,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[129]) ).
cnf(i_0_170,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[130]) ).
cnf(i_0_171,plain,
~ less(X1,X1),
inference(equality_inference,[],[142]) ).
cnf(i_0_172,plain,
~ greater(X1,X1),
inference(equality_inference,[],[143]) ).
cnf(i_0_173,plain,
geq(X1,X1),
inference(equality_inference,[],[149]) ).
cnf(i_0_174,plain,
leq(X1,X1),
inference(equality_inference,[],[150]) ).
cnf(i_0_175,plain,
greater(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_139,i_0_130]) ).
cnf(i_0_176,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_177,plain,
greater(vplus(vd391,v1),vd390),
inference(scs_inference,[],[i_0_139,i_0_137,i_0_130,i_0_136]) ).
cnf(i_0_178,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_179,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_139,i_0_137,i_0_130,i_0_136,i_0_120]) ).
cnf(i_0_180,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_181,plain,
~ greater(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_169,i_0_139,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123]) ).
cnf(i_0_182,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_183,plain,
geq(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_139,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131]) ).
cnf(i_0_184,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_185,plain,
less(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_139,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133]) ).
cnf(i_0_186,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_187,plain,
vplus(X1,X2) != X1,
inference(scs_inference,[],[i_0_126,i_0_169,i_0_139,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143]) ).
cnf(i_0_188,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_189,plain,
~ less(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_139,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114]) ).
cnf(i_0_190,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_191,plain,
less(X1,vplus(vplus(X1,X2),X3)),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129]) ).
cnf(i_0_192,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_193,plain,
leq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134]) ).
cnf(i_0_194,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_134]) ).
cnf(i_0_195,plain,
leq(v1,X1),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135]) ).
cnf(i_0_196,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_197,plain,
vplus(X1,X2) != X2,
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140]) ).
cnf(i_0_198,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_199,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141]) ).
cnf(i_0_200,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_201,plain,
X1 != vplus(X1,X2),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142]) ).
cnf(i_0_202,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_203,plain,
geq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149]) ).
cnf(i_0_204,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_205,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150]) ).
cnf(i_0_206,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_207,plain,
vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155]) ).
cnf(i_0_208,plain,
~ geq(X1,vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104]) ).
cnf(i_0_209,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_210,plain,
vplus(vd391,X1) != vd390,
inference(scs_inference,[],[i_0_152,i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161]) ).
cnf(i_0_211,plain,
greater(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_212,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_169,i_0_153,i_0_139,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162]) ).
cnf(i_0_213,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_214,plain,
vd391 != vd390,
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_169,i_0_153,i_0_139,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165]) ).
cnf(i_0_215,plain,
leq(X1,X1),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_216,plain,
vd390 != vd391,
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_169,i_0_153,i_0_139,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166]) ).
cnf(i_0_217,plain,
leq(X1,X1),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_218,plain,
vplus(X1,X1) = vplus(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_169,i_0_153,i_0_139,i_0_145,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109]) ).
cnf(i_0_219,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_220,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_221,plain,
~ less(vplus(vd391,v1),vd390),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_169,i_0_153,i_0_139,i_0_145,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116]) ).
cnf(i_0_222,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_223,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_224,plain,
~ leq(vplus(vd391,v1),vd390),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_169,i_0_153,i_0_139,i_0_145,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117]) ).
cnf(i_0_225,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_226,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_227,plain,
~ less(X1,v1),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_169,i_0_153,i_0_139,i_0_145,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118]) ).
cnf(i_0_228,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_229,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_230,plain,
~ leq(vplus(v1,vd391),vd390),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_169,i_0_153,i_0_139,i_0_145,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119]) ).
cnf(i_0_231,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_232,plain,
~ leq(vplus(v1,v1),v1),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_169,i_0_153,i_0_139,i_0_145,i_0_146,i_0_151,i_0_110,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127]) ).
cnf(i_0_233,plain,
vplus(X1,v1) != X1,
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_234,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_235,plain,
v1 != vplus(X1,vplus(X2,v1)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_169,i_0_153,i_0_139,i_0_145,i_0_219,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156]) ).
cnf(i_0_236,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_237,plain,
~ less(vplus(vd391,v1),vplus(v1,vd391)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_169,i_0_153,i_0_139,i_0_145,i_0_219,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159]) ).
cnf(i_0_238,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_239,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_240,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160]) ).
cnf(i_0_241,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_242,plain,
~ geq(vplus(X1,X2),vplus(vplus(X2,X1),vplus(vd391,X3))),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163]) ).
cnf(i_0_243,plain,
vplus(X1,X2) != vplus(vplus(X2,X1),vplus(vd391,X3)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_173,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163,i_0_164]) ).
cnf(i_0_244,plain,
geq(X1,X1),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_245,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_173,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163,i_0_164,i_0_121]) ).
cnf(i_0_246,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_247,plain,
( ~ geq(X1,vplus(X2,X1))
| greater(X1,vplus(X2,X1)) ),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_173,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_236,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163,i_0_164,i_0_121,i_0_128]) ).
cnf(i_0_248,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_249,plain,
less(vd390,vd391),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_173,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_236,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163,i_0_164,i_0_121,i_0_128,i_0_138]) ).
cnf(i_0_250,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_251,plain,
~ geq(X1,vplus(vplus(vd391,X2),X1)),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_173,i_0_244,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_236,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163,i_0_164,i_0_121,i_0_128,i_0_138,i_0_103]) ).
cnf(i_0_252,plain,
geq(X1,X1),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_253,plain,
( geq(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_254,plain,
( ~ greater(v1,X1)
| greater(v1,vplus(X1,v1)) ),
inference(scs_inference,[],[i_0_152,i_0_172,i_0_126,i_0_173,i_0_244,i_0_174,i_0_215,i_0_171,i_0_222,i_0_225,i_0_228,i_0_238,i_0_169,i_0_153,i_0_139,i_0_239,i_0_145,i_0_219,i_0_236,i_0_146,i_0_151,i_0_110,i_0_112,i_0_137,i_0_130,i_0_136,i_0_120,i_0_123,i_0_131,i_0_133,i_0_143,i_0_114,i_0_129,i_0_134,i_0_135,i_0_140,i_0_141,i_0_142,i_0_149,i_0_150,i_0_155,i_0_104,i_0_161,i_0_162,i_0_165,i_0_166,i_0_109,i_0_116,i_0_117,i_0_118,i_0_119,i_0_127,i_0_156,i_0_159,i_0_160,i_0_163,i_0_164,i_0_121,i_0_128,i_0_138,i_0_103,i_0_115]) ).
cnf(i_0_255,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_256,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_258,plain,
~ greater(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_179,i_0_113]) ).
cnf(i_0_259,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_260,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_261,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(scs_inference,[],[i_0_179,i_0_259,i_0_113,i_0_157]) ).
cnf(i_0_262,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_263,plain,
greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(scs_inference,[],[i_0_179,i_0_259,i_0_207,i_0_113,i_0_157,i_0_130]) ).
cnf(i_0_264,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_265,plain,
~ greater(v1,vplus(vd391,X1)),
inference(scs_inference,[],[i_0_179,i_0_259,i_0_207,i_0_251,i_0_113,i_0_157,i_0_130,i_0_115]) ).
cnf(i_0_266,plain,
~ geq(X1,vplus(vplus(vd391,X2),X1)),
inference(rename_variables,[],[i_0_251]) ).
cnf(i_0_267,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_268,plain,
vplus(X1,X2) != vplus(vplus(X1,vplus(X2,X3)),X4),
inference(scs_inference,[],[i_0_179,i_0_259,i_0_207,i_0_251,i_0_113,i_0_157,i_0_130,i_0_115,i_0_120]) ).
cnf(i_0_269,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_270,plain,
geq(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_175,i_0_179,i_0_259,i_0_207,i_0_251,i_0_113,i_0_157,i_0_130,i_0_115,i_0_120,i_0_131]) ).
cnf(i_0_271,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_272,plain,
vplus(X1,vplus(X2,X3)) != vplus(X1,X2),
inference(scs_inference,[],[i_0_175,i_0_179,i_0_259,i_0_207,i_0_251,i_0_113,i_0_157,i_0_130,i_0_115,i_0_120,i_0_131,i_0_143]) ).
cnf(i_0_273,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_274,plain,
~ less(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_175,i_0_179,i_0_259,i_0_207,i_0_199,i_0_251,i_0_113,i_0_157,i_0_130,i_0_115,i_0_120,i_0_131,i_0_143,i_0_114]) ).
cnf(i_0_275,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_276,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_277,plain,
$false,
inference(scs_inference,[],[i_0_175,i_0_249,i_0_179,i_0_259,i_0_207,i_0_199,i_0_251,i_0_151,i_0_113,i_0_157,i_0_130,i_0_115,i_0_120,i_0_131,i_0_143,i_0_114,i_0_134]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM843+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
% 0.15/0.33 % Computer : n031.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 01:17:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.38/1.61 % Version : CSE_E---1.7
% 0.38/1.61 % Problem : theBenchmark.p
% 0.38/1.61 % SZS status Theorem for theBenchmark.p
% 0.38/1.61 % SZS output start CNFRefutation
% See solution above
% 0.82/2.05 % Total time : 1.268s
%------------------------------------------------------------------------------