%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM839+2 : 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 : n029.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 04:58:40 PM UTC 2026
% Result : Theorem 0.48s 1.62s
% Output : CNFRefutation 1.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_48)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(52, 0), 0)',axiom,
! [X46,X47] : vplus(vsucc(X46),X47) = vsucc(vplus(X46,X47)),
file('/export/starexec/sandbox2/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,
! [X52,X53] :
( vplus(X52,vsucc(X53)) = vsucc(vplus(X52,X53))
& vplus(X52,v1) = vsucc(X52) ),
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(goal(130), 0), 2)',axiom,
! [X27,X28] :
( ~ greater(X27,X28)
| ~ less(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X56,X57] :
( X56 != X57
=> vsucc(X56) != vsucc(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X27,X28] :
( X27 != X28
| ~ less(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X27,X28] :
( X27 != X28
| ~ greater(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X48] : vplus(v1,X48) = vsucc(X48),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X55] : vsucc(X55) != X55,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X54] :
( X54 != v1
=> X54 = vsucc(vskolem2(X54)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X1,X2,X3] :
( less(X1,X2)
=> less(vplus(X1,X3),vplus(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X1,X2,X3] :
( greater(X1,X2)
=> greater(vplus(X1,X3),vplus(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X35,X36] :
( X35 = X36
| ? [X37] : X35 = vplus(X36,X37)
| ? [X38] : X36 = vplus(X35,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X49,X50,X51] : vplus(vplus(X49,X50),X51) = vplus(X49,vplus(X50,X51)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X32,X33] :
( greater(X33,X32)
<=> ? [X34] : X33 = vplus(X32,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X29,X30] :
( less(X30,X29)
<=> ? [X31] : X29 = vplus(X30,X31) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X6,X7,X8] :
( ( leq(X7,X8)
& leq(X6,X7) )
=> leq(X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X9,X10,X11] :
( ( ( less(X10,X11)
& leq(X9,X10) )
| ( leq(X10,X11)
& less(X9,X10) ) )
=> less(X9,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X12,X13,X14] :
( ( less(X13,X14)
& less(X12,X13) )
=> less(X12,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X35,X36] :
( ~ ? [X37] : X35 = vplus(X36,X37)
| ~ ? [X38] : X36 = vplus(X35,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X39,X40] :
( X39 != X40
=> ! [X41] : vplus(X41,X39) != vplus(X41,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X4,X5] : greater(vplus(X4,X5),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X19,X20] :
( leq(X20,X19)
<=> ( less(X20,X19)
| X20 = X19 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X21,X22] :
( geq(X22,X21)
<=> ( greater(X22,X21)
| X22 = X21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X15,X16] :
( leq(X15,X16)
=> geq(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X17,X18] :
( geq(X17,X18)
=> leq(X18,X17) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X25,X26] :
( greater(X25,X26)
=> less(X26,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X23,X24] :
( less(X23,X24)
=> greater(X24,X23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X27,X28] :
( X27 = X28
| greater(X27,X28)
| less(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X44,X45] : vplus(X45,X44) = vplus(X44,X45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X35,X36] :
( X35 != X36
| ~ ? [X37] : X35 = vplus(X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X35,X36] :
( X35 != X36
| ~ ? [X38] : X36 = vplus(X35,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X42,X43] : X43 != vplus(X42,X43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('holds(conseq(204), 332, 0)',conjecture,
greater(vd328,vd329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(204), 332, 0)') ).
fof('holds(antec(204), 331, 0)',axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(204), 331, 0)') ).
fof(i_0_34,plain,
! [X210,X211] : vplus(vsucc(X210),X211) = vsucc(vplus(X210,X211)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_35,plain,
! [X216,X217] :
( vplus(X216,vsucc(X217)) = vsucc(vplus(X216,X217))
& vplus(X216,v1) = vsucc(X216) ),
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_36,plain,
! [X27,X28] :
( ~ greater(X27,X28)
| ~ less(X27,X28) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_37,plain,
! [X220,X221] :
( X220 = X221
| vsucc(X220) != vsucc(X221) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_38,plain,
! [X27,X28] :
( X27 != X28
| ~ less(X27,X28) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_39,plain,
! [X27,X28] :
( X27 != X28
| ~ greater(X27,X28) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_40,plain,
! [X212] : vplus(v1,X212) = vsucc(X212),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_41,plain,
! [X219] : vsucc(X219) != X219,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_42,plain,
! [X218] :
( X218 = v1
| X218 = vsucc(vskolem2(X218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_43,plain,
! [X137,X138,X139] :
( ~ less(X137,X138)
| less(vplus(X137,X139),vplus(X138,X139)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_44,plain,
! [X143,X144,X145] :
( ~ greater(X143,X144)
| greater(vplus(X143,X145),vplus(X144,X145)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_45,plain,
! [X189,X190] :
( X189 = X190
| X189 = vplus(X190,esk3_2(X189,X190))
| X190 = vplus(X189,esk4_2(X189,X190)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_46,plain,
! [X213,X214,X215] : vplus(vplus(X213,X214),X215) = vplus(X213,vplus(X214,X215)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_47,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_34]) ).
cnf(i_0_48,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_35]) ).
cnf(i_0_49,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_35]) ).
fof(i_0_50,plain,
! [X183,X184,X186,X187,X188] :
( ( ~ greater(X184,X183)
| X184 = vplus(X183,esk2_2(X183,X184)) )
& ( X187 != vplus(X186,X188)
| greater(X187,X186) ) ),
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_51,plain,
! [X177,X178,X180,X181,X182] :
( ( ~ less(X178,X177)
| X177 = vplus(X178,esk1_2(X177,X178)) )
& ( X180 != vplus(X181,X182)
| less(X181,X180) ) ),
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_52,plain,
! [X148,X149,X150] :
( ~ leq(X149,X150)
| ~ leq(X148,X149)
| leq(X148,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_53,plain,
! [X151,X152,X153] :
( ( ~ less(X152,X153)
| ~ leq(X151,X152)
| less(X151,X153) )
& ( ~ leq(X152,X153)
| ~ less(X151,X152)
| less(X151,X153) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_54,plain,
! [X154,X155,X156] :
( ~ less(X155,X156)
| ~ less(X154,X155)
| less(X154,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_55,plain,
! [X196,X197,X198,X199] :
( X196 != vplus(X197,X198)
| X197 != vplus(X196,X199) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_56,plain,
! [X203,X204,X205] :
( X203 = X204
| vplus(X205,X203) != vplus(X205,X204) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_57,plain,
! [X173,X174] :
( ~ greater(X173,X174)
| ~ less(X173,X174) ),
inference(variable_rename,[status(thm)],[i_0_36]) ).
cnf(i_0_58,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_37]) ).
fof(i_0_59,plain,
! [X146,X147] : greater(vplus(X146,X147),X146),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_60,plain,
! [X161,X162] :
( ( ~ leq(X162,X161)
| less(X162,X161)
| X162 = X161 )
& ( ~ less(X162,X161)
| leq(X162,X161) )
& ( X162 != X161
| leq(X162,X161) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_61,plain,
! [X163,X164] :
( ( ~ geq(X164,X163)
| greater(X164,X163)
| X164 = X163 )
& ( ~ greater(X164,X163)
| geq(X164,X163) )
& ( X164 != X163
| geq(X164,X163) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_62,plain,
! [X157,X158] :
( ~ leq(X157,X158)
| geq(X158,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_63,plain,
! [X159,X160] :
( ~ geq(X159,X160)
| leq(X160,X159) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_64,plain,
! [X167,X168] :
( ~ greater(X167,X168)
| less(X168,X167) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_65,plain,
! [X165,X166] :
( ~ less(X165,X166)
| greater(X166,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_66,plain,
! [X169,X170] :
( X169 = X170
| greater(X169,X170)
| less(X169,X170) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_67,plain,
! [X208,X209] : vplus(X209,X208) = vplus(X208,X209),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_68,plain,
! [X200,X201,X202] :
( X200 != X201
| X200 != vplus(X201,X202) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_69,plain,
! [X193,X194,X195] :
( X193 != X194
| X194 != vplus(X193,X195) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_70,plain,
! [X171,X172] :
( X171 != X172
| ~ less(X171,X172) ),
inference(variable_rename,[status(thm)],[i_0_38]) ).
fof(i_0_71,plain,
! [X175,X176] :
( X175 != X176
| ~ greater(X175,X176) ),
inference(variable_rename,[status(thm)],[i_0_39]) ).
cnf(i_0_72,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_40]) ).
fof(i_0_73,plain,
! [X206,X207] : X207 != vplus(X206,X207),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_74,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_41]) ).
cnf(i_0_75,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_42]) ).
fof(i_0_76,negated_conjecture,
~ greater(vd328,vd329),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(204), 332, 0)'])]) ).
cnf(i_0_77,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_78,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_79,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_80,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_81,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_47,c_0_48]),c_0_48]),
[final] ).
cnf(i_0_82,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_49,c_0_48]),c_0_48]),
[final] ).
cnf(i_0_83,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_84,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_85,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_86,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_87,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_88,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_89,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(split_conjunct,[status(thm)],['holds(antec(204), 331, 0)']),
[final] ).
cnf(i_0_90,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_91,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_56]),
[final] ).
cnf(i_0_92,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_93,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_58,c_0_48]),c_0_48]),
[final] ).
cnf(i_0_94,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_95,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_96,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_97,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_98,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_99,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_100,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_101,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_102,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_103,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_104,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_105,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_106,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_107,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_108,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_109,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_110,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_111,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_72,c_0_48]),
[final] ).
cnf(i_0_112,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_113,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_74,c_0_48]),
[final] ).
cnf(i_0_114,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_75,c_0_48]),
[final] ).
cnf(i_0_115,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_116,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_117,negated_conjecture,
~ greater(vd328,vd329),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_118,axiom,
X1 = X1 ).
cnf(i_0_119,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_120,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_121,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_122,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_123,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_124,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_125,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_126,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_127,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_128,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_129,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_130,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_118_001,axiom,
X1 = X1 ).
cnf(i_0_119_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_120_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_121_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_122_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_123_006,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_124_007,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_125_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_126_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_127_010,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_128_011,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_129_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_130_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_131,plain,
X1 = X1,
inference(equality_inference,[],[91]) ).
cnf(i_0_132,plain,
X1 = X1,
inference(equality_inference,[],[93]) ).
cnf(i_0_133,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[97]) ).
cnf(i_0_134,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[98]) ).
cnf(i_0_135,plain,
~ less(X1,X1),
inference(equality_inference,[],[109]) ).
cnf(i_0_136,plain,
~ greater(X1,X1),
inference(equality_inference,[],[110]) ).
cnf(i_0_137,plain,
geq(X1,X1),
inference(equality_inference,[],[115]) ).
cnf(i_0_138,plain,
leq(X1,X1),
inference(equality_inference,[],[116]) ).
cnf(i_0_139,plain,
greater(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_106,i_0_98]) ).
cnf(i_0_140,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_141,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_106,i_0_98,i_0_90]) ).
cnf(i_0_142,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_143,plain,
~ greater(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_98,i_0_90,i_0_92]) ).
cnf(i_0_144,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_145,plain,
less(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_98,i_0_90,i_0_92,i_0_97]) ).
cnf(i_0_146,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_147,plain,
geq(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99]) ).
cnf(i_0_148,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_149,plain,
less(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103]) ).
cnf(i_0_150,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_151,plain,
vplus(X1,X2) != X2,
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107]) ).
cnf(i_0_152,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_153,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108]) ).
cnf(i_0_154,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_155,plain,
X1 != vplus(X1,X2),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109]) ).
cnf(i_0_156,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_157,plain,
vplus(X1,X2) != X1,
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110]) ).
cnf(i_0_158,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_159,plain,
geq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115]) ).
cnf(i_0_160,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_161,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116]) ).
cnf(i_0_162,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_163,plain,
~ less(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84]) ).
cnf(i_0_164,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_165,plain,
leq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101]) ).
cnf(i_0_166,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_167,plain,
vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
inference(scs_inference,[],[i_0_133,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119]) ).
cnf(i_0_168,plain,
~ geq(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_133,i_0_112,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96]) ).
cnf(i_0_169,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_170,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_171,plain,
vplus(vd329,X1) != vd328,
inference(scs_inference,[],[i_0_117,i_0_133,i_0_112,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125]) ).
cnf(i_0_172,plain,
greater(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_173,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_117,i_0_136,i_0_133,i_0_112,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126]) ).
cnf(i_0_174,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_175,plain,
vplus(X1,X1) = vplus(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_117,i_0_136,i_0_133,i_0_112,i_0_169,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79]) ).
cnf(i_0_176,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_177,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_178,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_136,i_0_133,i_0_112,i_0_169,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86]) ).
cnf(i_0_179,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_180,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_181,plain,
~ leq(vplus(X1,X1),X1),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_112,i_0_169,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87]) ).
cnf(i_0_182,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_183,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_184,plain,
~ less(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88]) ).
cnf(i_0_185,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_186,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_187,plain,
~ leq(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_106,i_0_94,i_0_89,i_0_80,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95]) ).
cnf(i_0_188,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_189,plain,
v1 != vplus(X1,vplus(X2,v1)),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120]) ).
cnf(i_0_190,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_191,plain,
~ less(vplus(vplus(X1,X2),X3),vplus(X2,X1)),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124]) ).
cnf(i_0_192,plain,
~ leq(vplus(vplus(X1,X2),vplus(X1,X2)),vplus(X2,X1)),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128]) ).
cnf(i_0_193,plain,
~ geq(vplus(X1,X2),vplus(vplus(X2,X1),vplus(X2,X1))),
inference(scs_inference,[],[i_0_117,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128,i_0_129]) ).
cnf(i_0_194,plain,
vplus(X1,X2) != vplus(vplus(X2,X1),vplus(X2,X1)),
inference(scs_inference,[],[i_0_117,i_0_137,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128,i_0_129,i_0_130]) ).
cnf(i_0_195,plain,
geq(X1,X1),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_196,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_117,i_0_137,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128,i_0_129,i_0_130,i_0_91]) ).
cnf(i_0_197,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_198,plain,
( less(vd328,vd329)
| vd328 = vd329 ),
inference(scs_inference,[],[i_0_117,i_0_137,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128,i_0_129,i_0_130,i_0_91,i_0_105]) ).
cnf(i_0_199,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_200,plain,
~ leq(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_117,i_0_137,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128,i_0_129,i_0_130,i_0_91,i_0_105,i_0_85]) ).
cnf(i_0_201,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_202,plain,
( greater(vd329,vd328)
| vd328 = vd329 ),
inference(scs_inference,[],[i_0_117,i_0_137,i_0_135,i_0_179,i_0_136,i_0_133,i_0_182,i_0_112,i_0_169,i_0_176,i_0_106,i_0_94,i_0_89,i_0_80,i_0_82,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_103,i_0_107,i_0_108,i_0_109,i_0_110,i_0_115,i_0_116,i_0_84,i_0_101,i_0_119,i_0_96,i_0_125,i_0_126,i_0_79,i_0_86,i_0_87,i_0_88,i_0_95,i_0_120,i_0_124,i_0_128,i_0_129,i_0_130,i_0_91,i_0_105,i_0_85,i_0_104]) ).
cnf(i_0_203,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_205,plain,
~ greater(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_141,i_0_83]) ).
cnf(i_0_206,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_207,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_83]) ).
cnf(i_0_208,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_83,i_0_121]) ).
cnf(i_0_209,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_210,plain,
greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_167,i_0_83,i_0_121,i_0_98]) ).
cnf(i_0_211,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_212,plain,
vplus(X1,X2) != vplus(vplus(X1,vplus(X2,X3)),X4),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_167,i_0_83,i_0_121,i_0_98,i_0_90]) ).
cnf(i_0_213,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_214,plain,
~ greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_149,i_0_167,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92]) ).
cnf(i_0_215,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_216,plain,
vplus(vd329,vd330) != vplus(vd328,vd330),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_149,i_0_167,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109]) ).
cnf(i_0_217,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_218,plain,
vplus(vd328,vd330) != vplus(vd329,vd330),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110]) ).
cnf(i_0_219,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_220,plain,
less(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97]) ).
cnf(i_0_221,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_222,plain,
geq(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_139,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99]) ).
cnf(i_0_223,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_224,plain,
vplus(X1,vplus(X2,X3)) != vplus(X1,X2),
inference(scs_inference,[],[i_0_139,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107]) ).
cnf(i_0_225,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_226,plain,
vplus(X1,X2) != vplus(X1,vplus(X2,X3)),
inference(scs_inference,[],[i_0_139,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108]) ).
cnf(i_0_227,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_228,plain,
geq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_139,i_0_196,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115]) ).
cnf(i_0_229,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_230,plain,
leq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_139,i_0_196,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116]) ).
cnf(i_0_231,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_232,plain,
leq(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_139,i_0_145,i_0_196,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101]) ).
cnf(i_0_233,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_234,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(scs_inference,[],[i_0_139,i_0_145,i_0_196,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84]) ).
cnf(i_0_235,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_236,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(scs_inference,[],[i_0_139,i_0_145,i_0_196,i_0_141,i_0_206,i_0_149,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119]) ).
cnf(i_0_237,plain,
~ leq(vplus(X1,vplus(X2,vplus(X1,X2))),vplus(X2,X1)),
inference(scs_inference,[],[i_0_139,i_0_145,i_0_196,i_0_141,i_0_206,i_0_149,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127]) ).
cnf(i_0_238,plain,
~ leq(vplus(vplus(X1,X2),vplus(X1,X2)),vplus(X2,X1)),
inference(rename_variables,[],[i_0_192]) ).
cnf(i_0_239,plain,
vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_240,plain,
~ less(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_139,i_0_145,i_0_196,i_0_141,i_0_206,i_0_149,i_0_135,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123]) ).
cnf(i_0_241,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_242,plain,
~ geq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_196,i_0_141,i_0_206,i_0_149,i_0_135,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96]) ).
cnf(i_0_243,plain,
X1 != vplus(X1,X2),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_244,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_245,plain,
vplus(X1,X2) = vplus(X1,esk4_2(X1,vplus(X1,X2))),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79]) ).
cnf(i_0_246,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_247,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_248,plain,
~ less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88]) ).
cnf(i_0_249,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_250,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_251,plain,
~ leq(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87]) ).
cnf(i_0_252,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_135]) ).
cnf(i_0_253,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_254,plain,
~ less(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86]) ).
cnf(i_0_255,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_256,plain,
~ leq(vplus(X1,vplus(X2,vplus(X1,X2))),vplus(X1,X2)),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95]) ).
cnf(i_0_257,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_258,plain,
~ leq(vplus(vplus(vplus(X1,X2),vplus(X1,X2)),X3),vplus(X2,X1)),
inference(scs_inference,[],[i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85]) ).
cnf(i_0_259,plain,
leq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_260,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_85]) ).
cnf(i_0_261,plain,
~ greater(esk4_2(vd328,vplus(vd328,vd328)),vd329),
inference(scs_inference,[],[i_0_117,i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125]) ).
cnf(i_0_262,plain,
~ geq(vd328,vplus(esk4_2(vd328,vplus(vd328,vd328)),X1)),
inference(scs_inference,[],[i_0_117,i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_167,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129]) ).
cnf(i_0_263,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_264,plain,
~ greater(vplus(X1,vplus(X2,X3)),vplus(X2,vplus(X3,X1))),
inference(scs_inference,[],[i_0_117,i_0_173,i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_167,i_0_239,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126]) ).
cnf(i_0_265,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_266,plain,
~ geq(vplus(X1,X2),vplus(X1,vplus(X2,vplus(X1,X2)))),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_155,i_0_243,i_0_196,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_167,i_0_239,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130]) ).
cnf(i_0_267,plain,
~ geq(X1,vplus(X1,X1)),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_268,plain,
vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_269,plain,
vplus(X1,esk4_2(X2,vplus(X2,X2))) != X2,
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_167,i_0_239,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120]) ).
cnf(i_0_270,plain,
vplus(X1,X2) != X2,
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_271,plain,
~ leq(vplus(X1,esk4_2(X2,vplus(X2,X2))),X2),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_165,i_0_187,i_0_167,i_0_239,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128]) ).
cnf(i_0_272,plain,
~ leq(vplus(X1,X2),X2),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_273,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(X2,vplus(X3,X1))),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124]) ).
cnf(i_0_274,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_275,plain,
~ greater(vd329,vd328),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78]) ).
cnf(i_0_276,plain,
( greater(vplus(X1,X2),vplus(X3,X2))
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_78]) ).
cnf(i_0_277,plain,
esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))) != X2,
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78,i_0_122]) ).
cnf(i_0_278,plain,
~ less(vd328,vd329),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78,i_0_122,i_0_77]) ).
cnf(i_0_279,plain,
( less(vplus(X1,X2),vplus(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_77]) ).
cnf(i_0_280,plain,
geq(esk4_2(vd328,vplus(vd328,vd328)),vd328),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78,i_0_122,i_0_77,i_0_100]) ).
cnf(i_0_281,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_282,plain,
leq(esk4_2(vd328,vplus(vd328,vd328)),vd328),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78,i_0_122,i_0_77,i_0_100,i_0_102]) ).
cnf(i_0_283,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_284,plain,
X1 = esk4_2(X2,vplus(X2,X1)),
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78,i_0_122,i_0_77,i_0_100,i_0_102,i_0_91]) ).
cnf(i_0_285,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_286,plain,
vd328 = vd329,
inference(scs_inference,[],[i_0_117,i_0_168,i_0_173,i_0_139,i_0_143,i_0_145,i_0_151,i_0_155,i_0_243,i_0_196,i_0_263,i_0_141,i_0_206,i_0_153,i_0_149,i_0_135,i_0_241,i_0_249,i_0_252,i_0_192,i_0_238,i_0_178,i_0_165,i_0_187,i_0_167,i_0_239,i_0_268,i_0_89,i_0_83,i_0_121,i_0_98,i_0_90,i_0_92,i_0_109,i_0_110,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_119,i_0_127,i_0_123,i_0_96,i_0_79,i_0_88,i_0_87,i_0_86,i_0_95,i_0_85,i_0_125,i_0_129,i_0_126,i_0_130,i_0_120,i_0_128,i_0_124,i_0_78,i_0_122,i_0_77,i_0_100,i_0_102,i_0_91,i_0_105]) ).
cnf(i_0_287,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_288,plain,
geq(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_230,i_0_100]) ).
cnf(i_0_289,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_290,plain,
leq(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_228,i_0_230,i_0_100,i_0_102]) ).
cnf(i_0_291,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_292,plain,
greater(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X1),
inference(scs_inference,[],[i_0_228,i_0_230,i_0_236,i_0_100,i_0_102,i_0_98]) ).
cnf(i_0_293,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_294,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_295,plain,
vplus(X1,X2) != vplus(vplus(vplus(X1,v1),X2),X3),
inference(scs_inference,[],[i_0_228,i_0_230,i_0_236,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90]) ).
cnf(i_0_296,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_297,plain,
~ greater(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_228,i_0_230,i_0_220,i_0_236,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92]) ).
cnf(i_0_298,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_92]) ).
cnf(i_0_299,plain,
less(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97]) ).
cnf(i_0_300,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_301,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_302,plain,
geq(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(scs_inference,[],[i_0_210,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99]) ).
cnf(i_0_303,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_304,plain,
esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))) != X1,
inference(scs_inference,[],[i_0_210,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_300,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107]) ).
cnf(i_0_305,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_306,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_307,plain,
X1 != esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),
inference(scs_inference,[],[i_0_210,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108]) ).
cnf(i_0_308,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_309,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_310,plain,
geq(vd328,vd329),
inference(scs_inference,[],[i_0_210,i_0_286,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115]) ).
cnf(i_0_311,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_312,plain,
leq(vd328,vd329),
inference(scs_inference,[],[i_0_210,i_0_286,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116]) ).
cnf(i_0_313,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_314,plain,
leq(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_210,i_0_286,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101]) ).
cnf(i_0_315,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_316,plain,
~ less(vplus(vplus(X1,v1),X2),vplus(X1,X2)),
inference(scs_inference,[],[i_0_210,i_0_286,i_0_228,i_0_230,i_0_220,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84]) ).
cnf(i_0_317,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_84]) ).
cnf(i_0_318,plain,
vd329 != vd328,
inference(scs_inference,[],[i_0_210,i_0_286,i_0_228,i_0_230,i_0_220,i_0_216,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_121]) ).
cnf(i_0_319,plain,
$false,
inference(scs_inference,[],[i_0_210,i_0_286,i_0_228,i_0_230,i_0_220,i_0_216,i_0_236,i_0_293,i_0_300,i_0_305,i_0_81,i_0_100,i_0_102,i_0_98,i_0_90,i_0_92,i_0_97,i_0_99,i_0_107,i_0_108,i_0_115,i_0_116,i_0_101,i_0_84,i_0_121,i_0_119]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM839+2 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.12 % 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
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:16:14 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.48/1.62 % Version : CSE_E---1.7
% 0.48/1.62 % Problem : theBenchmark.p
% 0.48/1.62 % SZS status Theorem for theBenchmark.p
% 0.48/1.62 % SZS output start CNFRefutation
% See solution above
% 1.07/2.29 % Total time : 1.272s
%------------------------------------------------------------------------------