%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM840+1 : 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 04:58:41 PM UTC 2026
% Result : Theorem 0.68s 1.62s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_55)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(52, 0), 0)',axiom,
! [X46,X47] : vplus(vsucc(X46),X47) = vsucc(vplus(X46,X47)),
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,
! [X52,X53] :
( vplus(X52,vsucc(X53)) = vsucc(vplus(X52,X53))
& vplus(X52,v1) = vsucc(X52) ),
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,
! [X27,X28] :
( ~ greater(X27,X28)
| ~ less(X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X58,X59] :
( vsucc(X58) = vsucc(X59)
=> X58 = X59 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X56,X57] :
( X56 != X57
=> vsucc(X56) != vsucc(X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X27,X28] :
( X27 != X28
| ~ greater(X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X27,X28] :
( X27 != X28
| ~ less(X27,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X48] : vplus(v1,X48) = vsucc(X48),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X55] : vsucc(X55) != X55,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X60] : vsucc(X60) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('ass(cond(conjunct1(204), 0), 0)',axiom,
( greater(vplus(vd328,vd330),vplus(vd329,vd330))
=> greater(vd328,vd329) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(204), 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/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X1,X2,X3] :
( less(X1,X2)
=> less(vplus(X1,X3),vplus(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X21,X22] :
( geq(X22,X21)
<=> ( greater(X22,X21)
| X22 = X21 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X19,X20] :
( leq(X20,X19)
<=> ( less(X20,X19)
| X20 = X19 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X15,X16] :
( leq(X15,X16)
=> geq(X16,X15) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X23,X24] :
( less(X23,X24)
=> greater(X24,X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X25,X26] :
( greater(X25,X26)
=> less(X26,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(conjunct1(conjunct2(204)), 0), 0)',axiom,
( vplus(vd328,vd330) = vplus(vd329,vd330)
=> vd328 = vd329 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(204)), 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X27,X28] :
( X27 = X28
| greater(X27,X28)
| less(X27,X28) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('holds(conseq(conjunct2(conjunct2(204))), 336, 0)',conjecture,
less(vd328,vd329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(conjunct2(conjunct2(204))), 336, 0)') ).
fof('holds(antec(conjunct2(conjunct2(204))), 335, 0)',axiom,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(conjunct2(conjunct2(204))), 335, 0)') ).
fof(i_0_38,plain,
! [X216,X217] : vplus(vsucc(X216),X217) = vsucc(vplus(X216,X217)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_39,plain,
! [X222,X223] :
( vplus(X222,vsucc(X223)) = vsucc(vplus(X222,X223))
& vplus(X222,v1) = vsucc(X222) ),
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_40,plain,
! [X27,X28] :
( ~ greater(X27,X28)
| ~ less(X27,X28) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_41,plain,
! [X228,X229] :
( vsucc(X228) != vsucc(X229)
| X228 = X229 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_42,plain,
! [X226,X227] :
( X226 = X227
| vsucc(X226) != vsucc(X227) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_43,plain,
! [X27,X28] :
( X27 != X28
| ~ greater(X27,X28) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_44,plain,
! [X27,X28] :
( X27 != X28
| ~ less(X27,X28) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_45,plain,
! [X218] : vplus(v1,X218) = vsucc(X218),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_46,plain,
! [X225] : vsucc(X225) != X225,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_47,plain,
! [X224] :
( X224 = v1
| X224 = vsucc(vskolem2(X224)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_48,plain,
! [X230] : vsucc(X230) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(i_0_49,plain,
( ~ greater(vplus(vd328,vd330),vplus(vd329,vd330))
| greater(vd328,vd329) ),
inference(fof_nnf,[status(thm)],['ass(cond(conjunct1(204), 0), 0)']) ).
fof(i_0_50,plain,
! [X149,X150,X151] :
( ~ greater(X149,X150)
| greater(vplus(X149,X151),vplus(X150,X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_51,plain,
! [X143,X144,X145] :
( ~ less(X143,X144)
| less(vplus(X143,X145),vplus(X144,X145)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_52,plain,
! [X195,X196] :
( X195 = X196
| X195 = vplus(X196,esk3_2(X195,X196))
| X196 = vplus(X195,esk4_2(X195,X196)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_53,plain,
! [X219,X220,X221] : vplus(vplus(X219,X220),X221) = vplus(X219,vplus(X220,X221)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_54,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_38]) ).
cnf(i_0_55,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_39]) ).
cnf(i_0_56,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_39]) ).
fof(i_0_57,plain,
! [X189,X190,X192,X193,X194] :
( ( ~ greater(X190,X189)
| X190 = vplus(X189,esk2_2(X189,X190)) )
& ( X193 != vplus(X192,X194)
| greater(X193,X192) ) ),
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_58,plain,
! [X183,X184,X186,X187,X188] :
( ( ~ less(X184,X183)
| X183 = vplus(X184,esk1_2(X183,X184)) )
& ( X186 != vplus(X187,X188)
| less(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)), 12), 1)'])])])])]) ).
fof(i_0_59,plain,
! [X154,X155,X156] :
( ~ leq(X155,X156)
| ~ leq(X154,X155)
| leq(X154,X156) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_60,plain,
! [X157,X158,X159] :
( ( ~ less(X158,X159)
| ~ leq(X157,X158)
| less(X157,X159) )
& ( ~ leq(X158,X159)
| ~ less(X157,X158)
| less(X157,X159) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_61,plain,
! [X160,X161,X162] :
( ~ less(X161,X162)
| ~ less(X160,X161)
| less(X160,X162) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_62,plain,
! [X202,X203,X204,X205] :
( X202 != vplus(X203,X204)
| X203 != vplus(X202,X205) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_63,plain,
! [X209,X210,X211] :
( X209 = X210
| vplus(X211,X209) != vplus(X211,X210) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_64,plain,
! [X179,X180] :
( ~ greater(X179,X180)
| ~ less(X179,X180) ),
inference(variable_rename,[status(thm)],[i_0_40]) ).
cnf(i_0_65,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]) ).
cnf(i_0_66,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]) ).
fof(i_0_67,plain,
! [X152,X153] : greater(vplus(X152,X153),X152),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_68,plain,
! [X169,X170] :
( ( ~ geq(X170,X169)
| greater(X170,X169)
| X170 = X169 )
& ( ~ greater(X170,X169)
| geq(X170,X169) )
& ( X170 != X169
| geq(X170,X169) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_69,plain,
! [X167,X168] :
( ( ~ leq(X168,X167)
| less(X168,X167)
| X168 = X167 )
& ( ~ less(X168,X167)
| leq(X168,X167) )
& ( X168 != X167
| leq(X168,X167) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_70,plain,
! [X163,X164] :
( ~ leq(X163,X164)
| geq(X164,X163) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_71,plain,
! [X165,X166] :
( ~ geq(X165,X166)
| leq(X166,X165) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_72,plain,
! [X171,X172] :
( ~ less(X171,X172)
| greater(X172,X171) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_73,plain,
! [X173,X174] :
( ~ greater(X173,X174)
| less(X174,X173) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_74,plain,
( vplus(vd328,vd330) != vplus(vd329,vd330)
| vd328 = vd329 ),
inference(fof_nnf,[status(thm)],['ass(cond(conjunct1(conjunct2(204)), 0), 0)']) ).
fof(i_0_75,plain,
! [X175,X176] :
( X175 = X176
| greater(X175,X176)
| less(X175,X176) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_76,plain,
! [X214,X215] : vplus(X215,X214) = vplus(X214,X215),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_77,plain,
! [X206,X207,X208] :
( X206 != X207
| X206 != vplus(X207,X208) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_78,plain,
! [X199,X200,X201] :
( X199 != X200
| X200 != vplus(X199,X201) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_79,plain,
! [X181,X182] :
( X181 != X182
| ~ greater(X181,X182) ),
inference(variable_rename,[status(thm)],[i_0_43]) ).
fof(i_0_80,plain,
! [X177,X178] :
( X177 != X178
| ~ less(X177,X178) ),
inference(variable_rename,[status(thm)],[i_0_44]) ).
cnf(i_0_81,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_45]) ).
fof(i_0_82,plain,
! [X212,X213] : X213 != vplus(X212,X213),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_83,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_46]) ).
cnf(i_0_84,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_47]) ).
cnf(i_0_85,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_48]) ).
fof(i_0_86,negated_conjecture,
~ less(vd328,vd329),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(conjunct2(conjunct2(204))), 336, 0)'])]) ).
cnf(i_0_87,plain,
( greater(vd328,vd329)
| ~ greater(vplus(vd328,vd330),vplus(vd329,vd330)) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_88,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_89,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_90,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_91,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_92,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_54,c_0_55]),c_0_55]),
[final] ).
cnf(i_0_93,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_56,c_0_55]),c_0_55]),
[final] ).
cnf(i_0_94,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_95,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_96,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_97,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_98,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_99,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_100,plain,
less(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(split_conjunct,[status(thm)],['holds(antec(conjunct2(conjunct2(204))), 335, 0)']),
[final] ).
cnf(i_0_101,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_102,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_103,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_104,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_65,c_0_55]),c_0_55]),
[final] ).
cnf(i_0_105,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_66,c_0_55]),c_0_55]),
[final] ).
cnf(i_0_106,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_107,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_108,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_109,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_110,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_111,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_112,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_113,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_114,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_115,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_116,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_117,plain,
( vd328 = vd329
| vplus(vd328,vd330) != vplus(vd329,vd330) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_118,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_119,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_120,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_121,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_122,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_123,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_124,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_81,c_0_55]),
[final] ).
cnf(i_0_125,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_126,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_83,c_0_55]),
[final] ).
cnf(i_0_127,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_84,c_0_55]),
[final] ).
cnf(i_0_128,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_85,c_0_55]),
[final] ).
cnf(i_0_129,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_130,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_131,negated_conjecture,
~ less(vd328,vd329),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_132,axiom,
X1 = X1 ).
cnf(i_0_133,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_134,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_135,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_136,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_137,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_138,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_139,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_140,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_141,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_142,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_143,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_144,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_132_001,axiom,
X1 = X1 ).
cnf(i_0_133_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_134_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_135_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_136_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_137_006,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_138_007,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_139_008,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_140_009,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_141_010,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_142_011,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_143_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_144_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_145,plain,
X1 = X1,
inference(equality_inference,[],[102]) ).
cnf(i_0_146,plain,
X1 = X1,
inference(equality_inference,[],[105]) ).
cnf(i_0_147,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[109]) ).
cnf(i_0_148,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[110]) ).
cnf(i_0_149,plain,
~ greater(X1,X1),
inference(equality_inference,[],[122]) ).
cnf(i_0_150,plain,
~ less(X1,X1),
inference(equality_inference,[],[123]) ).
cnf(i_0_151,plain,
geq(X1,X1),
inference(equality_inference,[],[129]) ).
cnf(i_0_152,plain,
leq(X1,X1),
inference(equality_inference,[],[130]) ).
cnf(i_0_153,plain,
less(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_119,i_0_110]) ).
cnf(i_0_154,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_155,plain,
~ greater(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_110,i_0_103]) ).
cnf(i_0_156,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_157,plain,
leq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_110,i_0_103,i_0_113]) ).
cnf(i_0_158,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_159,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_110,i_0_103,i_0_113,i_0_101]) ).
cnf(i_0_160,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_161,plain,
greater(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109]) ).
cnf(i_0_162,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_163,plain,
geq(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111]) ).
cnf(i_0_164,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_165,plain,
greater(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115]) ).
cnf(i_0_166,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_167,plain,
vplus(X1,X2) != X2,
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120]) ).
cnf(i_0_168,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_169,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121]) ).
cnf(i_0_170,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_171,plain,
vplus(X1,X2) != X1,
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122]) ).
cnf(i_0_172,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_122]) ).
cnf(i_0_173,plain,
X1 != vplus(X1,X2),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123]) ).
cnf(i_0_174,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_175,plain,
geq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129]) ).
cnf(i_0_176,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_177,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130]) ).
cnf(i_0_178,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_179,plain,
vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133]) ).
cnf(i_0_180,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(scs_inference,[],[i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135]) ).
cnf(i_0_181,plain,
~ less(vplus(vd328,X1),vd329),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97]) ).
cnf(i_0_182,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_183,plain,
~ leq(vplus(vd328,X1),vd329),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98]) ).
cnf(i_0_184,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_185,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_186,plain,
~ less(vplus(vd329,vd330),vplus(vd328,vd330)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_150,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99]) ).
cnf(i_0_187,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_188,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_189,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(vplus(X2,X3),X1)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_150,i_0_187,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139]) ).
cnf(i_0_190,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_191,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_192,plain,
vplus(vd328,X1) != vd329,
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_150,i_0_187,i_0_119,i_0_106,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140]) ).
cnf(i_0_193,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_194,plain,
vplus(X1,X1) = vplus(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_150,i_0_187,i_0_119,i_0_106,i_0_125,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90]) ).
cnf(i_0_195,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_125]) ).
cnf(i_0_196,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_197,plain,
~ leq(vplus(vplus(X1,X2),vd328),vd329),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_150,i_0_187,i_0_119,i_0_106,i_0_125,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96]) ).
cnf(i_0_198,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_199,plain,
~ geq(vd328,vplus(vd328,vplus(X1,X2))),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_150,i_0_187,i_0_119,i_0_106,i_0_125,i_0_100,i_0_91,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107]) ).
cnf(i_0_200,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_201,plain,
v1 != vplus(X1,vplus(X2,v1)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_150,i_0_187,i_0_119,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134]) ).
cnf(i_0_202,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_125]) ).
cnf(i_0_203,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137]) ).
cnf(i_0_204,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_205,plain,
~ greater(vd328,vplus(vplus(X1,X2),vd328)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138]) ).
cnf(i_0_206,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_207,plain,
vplus(vplus(X1,X2),vd328) != vd329,
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_152,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138,i_0_142]) ).
cnf(i_0_208,plain,
leq(X1,X1),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_209,plain,
~ geq(vd328,vplus(vplus(X1,X2),vd328)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_152,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_206,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138,i_0_142,i_0_144]) ).
cnf(i_0_210,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_211,plain,
~ less(vd329,vd328),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_152,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_206,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138,i_0_142,i_0_144,i_0_89]) ).
cnf(i_0_212,plain,
( less(vplus(X1,X2),vplus(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_89]) ).
cnf(i_0_213,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_152,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_206,i_0_106,i_0_125,i_0_195,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138,i_0_142,i_0_144,i_0_89,i_0_102]) ).
cnf(i_0_214,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_215,plain,
( ~ leq(vplus(X1,v1),X1)
| less(vplus(X1,v1),X1) ),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_152,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_206,i_0_106,i_0_125,i_0_195,i_0_126,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138,i_0_142,i_0_144,i_0_89,i_0_102,i_0_108]) ).
cnf(i_0_216,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_217,plain,
( less(vplus(X1,v1),X1)
| ~ leq(vplus(v1,X1),X1) ),
inference(scs_inference,[],[i_0_131,i_0_148,i_0_184,i_0_152,i_0_149,i_0_150,i_0_187,i_0_119,i_0_191,i_0_206,i_0_210,i_0_106,i_0_125,i_0_195,i_0_126,i_0_100,i_0_91,i_0_93,i_0_110,i_0_103,i_0_113,i_0_101,i_0_109,i_0_111,i_0_115,i_0_120,i_0_121,i_0_122,i_0_123,i_0_129,i_0_130,i_0_133,i_0_135,i_0_97,i_0_98,i_0_99,i_0_139,i_0_140,i_0_90,i_0_96,i_0_107,i_0_134,i_0_137,i_0_138,i_0_142,i_0_144,i_0_89,i_0_102,i_0_108,i_0_141]) ).
cnf(i_0_218,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_219,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_220,plain,
geq(X1,X1),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_222,plain,
~ less(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_159,i_0_95]) ).
cnf(i_0_223,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_224,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_225,plain,
~ greater(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_159,i_0_223,i_0_95,i_0_94]) ).
cnf(i_0_226,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_227,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_228,plain,
less(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_179,i_0_159,i_0_223,i_0_95,i_0_94,i_0_110]) ).
cnf(i_0_229,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_230,plain,
vplus(X1,X2) != vplus(vplus(X1,vplus(X2,X3)),X4),
inference(scs_inference,[],[i_0_179,i_0_159,i_0_223,i_0_95,i_0_94,i_0_110,i_0_101]) ).
cnf(i_0_231,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_232,plain,
vplus(vd329,vd330) != vplus(vd328,vd330),
inference(scs_inference,[],[i_0_179,i_0_159,i_0_223,i_0_165,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122]) ).
cnf(i_0_233,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_122]) ).
cnf(i_0_234,plain,
vplus(vd328,vd330) != vplus(vd329,vd330),
inference(scs_inference,[],[i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123]) ).
cnf(i_0_235,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_236,plain,
leq(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_153,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113]) ).
cnf(i_0_237,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_238,plain,
greater(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(scs_inference,[],[i_0_153,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109]) ).
cnf(i_0_239,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_240,plain,
geq(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111]) ).
cnf(i_0_241,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_242,plain,
vplus(X1,vplus(X2,X3)) != vplus(X1,X2),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120]) ).
cnf(i_0_243,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_244,plain,
vplus(X1,X2) != vplus(X1,vplus(X2,X3)),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121]) ).
cnf(i_0_245,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_246,plain,
geq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_213,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129]) ).
cnf(i_0_247,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_248,plain,
leq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_213,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130]) ).
cnf(i_0_249,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_250,plain,
~ greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_213,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103]) ).
cnf(i_0_251,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_252,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(scs_inference,[],[i_0_153,i_0_161,i_0_213,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133]) ).
cnf(i_0_253,plain,
vd329 != vd328,
inference(scs_inference,[],[i_0_153,i_0_161,i_0_213,i_0_179,i_0_159,i_0_223,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135]) ).
cnf(i_0_254,plain,
vplus(X1,X2) = vplus(X1,esk4_2(X1,vplus(X1,X2))),
inference(scs_inference,[],[i_0_153,i_0_161,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90]) ).
cnf(i_0_255,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_256,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_90]) ).
cnf(i_0_257,plain,
~ less(vplus(X1,vd328),vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_161,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97]) ).
cnf(i_0_258,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_259,plain,
~ leq(vplus(X1,vd328),vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_161,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98]) ).
cnf(i_0_260,plain,
less(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_261,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_262,plain,
~ less(vplus(vd329,vd330),vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_181,i_0_161,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99]) ).
cnf(i_0_263,plain,
~ less(vplus(vd328,X1),vd329),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_264,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_265,plain,
~ leq(vplus(X1,X1),X1),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_181,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108]) ).
cnf(i_0_266,plain,
vplus(X1,X2) != X1,
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_267,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_268,plain,
~ leq(vplus(vplus(vd328,X1),X2),vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_181,i_0_183,i_0_157,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96]) ).
cnf(i_0_269,plain,
leq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_270,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_271,plain,
~ geq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_181,i_0_183,i_0_155,i_0_157,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107]) ).
cnf(i_0_272,plain,
X1 != vplus(X1,X2),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_273,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_274,plain,
~ less(esk4_2(vd328,vplus(vd328,vd328)),vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_181,i_0_183,i_0_155,i_0_157,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139]) ).
cnf(i_0_275,plain,
vplus(X1,vd328) != vd329,
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_157,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140]) ).
cnf(i_0_276,plain,
less(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_277,plain,
~ greater(vd328,vplus(esk4_2(vd328,vplus(vd328,vd328)),X1)),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_157,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137]) ).
cnf(i_0_278,plain,
~ greater(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_279,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_280,plain,
vplus(vplus(vd328,X1),X2) != vd329,
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_157,i_0_269,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142]) ).
cnf(i_0_281,plain,
leq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_282,plain,
~ geq(esk4_2(vd328,vplus(vd328,vd328)),vplus(vd328,vplus(X1,X2))),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_157,i_0_269,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_199,i_0_100,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143]) ).
cnf(i_0_283,plain,
~ geq(vd328,vplus(vplus(vd328,X1),X2)),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_157,i_0_269,i_0_161,i_0_171,i_0_173,i_0_213,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144]) ).
cnf(i_0_284,plain,
~ geq(vd328,vplus(vd328,vplus(X1,X2))),
inference(rename_variables,[],[i_0_199]) ).
cnf(i_0_285,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(rename_variables,[],[i_0_91]) ).
cnf(i_0_286,plain,
vplus(X1,esk4_2(X2,vplus(X2,X2))) != X2,
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134]) ).
cnf(i_0_287,plain,
vplus(X1,X2) != X2,
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_288,plain,
~ greater(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138]) ).
cnf(i_0_289,plain,
~ greater(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_290,plain,
~ leq(vplus(X1,vplus(X2,vd328)),vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141]) ).
cnf(i_0_291,plain,
~ leq(vplus(vplus(X1,X2),vd328),vd329),
inference(rename_variables,[],[i_0_197]) ).
cnf(i_0_292,plain,
vplus(X1,vplus(X2,X3)) = vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_293,plain,
~ greater(vd328,vd329),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141,i_0_88]) ).
cnf(i_0_294,plain,
( greater(vplus(X1,X2),vplus(X3,X2))
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_295,plain,
geq(esk4_2(vd328,vplus(vd328,vd328)),vd328),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141,i_0_88,i_0_112]) ).
cnf(i_0_296,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_297,plain,
leq(esk4_2(vd328,vplus(vd328,vd328)),vd328),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141,i_0_88,i_0_112,i_0_114]) ).
cnf(i_0_298,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_299,plain,
esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))) != X2,
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141,i_0_88,i_0_112,i_0_114,i_0_136]) ).
cnf(i_0_300,plain,
less(vd328,vplus(esk4_2(vd328,vplus(vd328,vd328)),vplus(vd328,X1))),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_180,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141,i_0_88,i_0_112,i_0_114,i_0_136,i_0_118]) ).
cnf(i_0_301,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_302,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_303,plain,
greater(vplus(esk4_2(vd328,vplus(vd328,vd328)),vplus(vd328,X1)),vd328),
inference(scs_inference,[],[i_0_131,i_0_153,i_0_260,i_0_181,i_0_183,i_0_155,i_0_278,i_0_157,i_0_269,i_0_161,i_0_167,i_0_171,i_0_173,i_0_213,i_0_279,i_0_179,i_0_159,i_0_223,i_0_169,i_0_180,i_0_165,i_0_197,i_0_199,i_0_100,i_0_91,i_0_95,i_0_94,i_0_110,i_0_101,i_0_122,i_0_123,i_0_113,i_0_109,i_0_111,i_0_120,i_0_121,i_0_129,i_0_130,i_0_103,i_0_133,i_0_135,i_0_90,i_0_97,i_0_98,i_0_99,i_0_108,i_0_96,i_0_107,i_0_139,i_0_140,i_0_137,i_0_142,i_0_143,i_0_144,i_0_134,i_0_138,i_0_141,i_0_88,i_0_112,i_0_114,i_0_136,i_0_118,i_0_115]) ).
cnf(i_0_304,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_305,plain,
~ less(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_169,i_0_95]) ).
cnf(i_0_306,plain,
X1 != vplus(vplus(X1,X2),X3),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_307,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_308,plain,
X1 = esk4_2(X2,vplus(X2,X1)),
inference(scs_inference,[],[i_0_254,i_0_169,i_0_95,i_0_102]) ).
cnf(i_0_309,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_310,plain,
geq(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_248,i_0_254,i_0_169,i_0_95,i_0_102,i_0_112]) ).
cnf(i_0_311,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_312,plain,
leq(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_246,i_0_248,i_0_254,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114]) ).
cnf(i_0_313,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_314,plain,
less(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_246,i_0_248,i_0_252,i_0_254,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110]) ).
cnf(i_0_315,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_316,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_317,plain,
vplus(X1,X2) != vplus(vplus(vplus(X1,v1),X2),X3),
inference(scs_inference,[],[i_0_246,i_0_248,i_0_252,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101]) ).
cnf(i_0_318,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_319,plain,
leq(vplus(X1,X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_228,i_0_246,i_0_248,i_0_252,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113]) ).
cnf(i_0_320,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_321,plain,
greater(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X1),
inference(scs_inference,[],[i_0_228,i_0_246,i_0_248,i_0_252,i_0_315,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109]) ).
cnf(i_0_322,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_323,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_109]) ).
cnf(i_0_324,plain,
esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))) != X1,
inference(scs_inference,[],[i_0_228,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120]) ).
cnf(i_0_325,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_326,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_327,plain,
X1 != esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),
inference(scs_inference,[],[i_0_228,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121]) ).
cnf(i_0_328,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_329,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_330,plain,
geq(vplus(X1,X2),vplus(X1,esk4_2(X1,vplus(X1,X2)))),
inference(scs_inference,[],[i_0_228,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129]) ).
cnf(i_0_331,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_332,plain,
leq(vplus(X1,X2),vplus(X1,esk4_2(X1,vplus(X1,X2)))),
inference(scs_inference,[],[i_0_228,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130]) ).
cnf(i_0_333,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_334,plain,
geq(vplus(X1,vplus(X2,X3)),vplus(X1,X2)),
inference(scs_inference,[],[i_0_228,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111]) ).
cnf(i_0_335,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_336,plain,
vplus(esk4_2(vd328,vplus(vd328,vd328)),vplus(vd328,X1)) != vd328,
inference(scs_inference,[],[i_0_228,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122]) ).
cnf(i_0_337,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_122]) ).
cnf(i_0_338,plain,
~ greater(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_228,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103]) ).
cnf(i_0_339,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_340,plain,
vplus(X1,esk4_2(X1,vplus(X1,X2))) = vplus(X1,X2),
inference(scs_inference,[],[i_0_228,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133]) ).
cnf(i_0_341,plain,
vd328 != vd329,
inference(scs_inference,[],[i_0_228,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_234,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135]) ).
cnf(i_0_342,plain,
~ leq(vplus(esk4_2(vd328,vplus(vd328,vd328)),vplus(vd328,X1)),vd329),
inference(scs_inference,[],[i_0_131,i_0_228,i_0_300,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_234,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135,i_0_98]) ).
cnf(i_0_343,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_98]) ).
cnf(i_0_344,plain,
~ less(vplus(esk4_2(vd328,vplus(vd328,vd328)),vplus(vd328,X1)),vd329),
inference(scs_inference,[],[i_0_131,i_0_228,i_0_300,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_234,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135,i_0_98,i_0_99]) ).
cnf(i_0_345,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_346,plain,
~ leq(vplus(X1,vplus(X2,X2)),X2),
inference(scs_inference,[],[i_0_131,i_0_265,i_0_228,i_0_300,i_0_236,i_0_238,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_234,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135,i_0_98,i_0_99,i_0_96]) ).
cnf(i_0_347,plain,
leq(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_348,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_349,plain,
~ leq(vplus(X1,vplus(X1,X1)),vplus(X1,X1)),
inference(scs_inference,[],[i_0_131,i_0_265,i_0_228,i_0_300,i_0_222,i_0_236,i_0_238,i_0_242,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_254,i_0_234,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135,i_0_98,i_0_99,i_0_96,i_0_108]) ).
cnf(i_0_350,plain,
vplus(X1,vplus(X2,X3)) != vplus(X1,X2),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_351,plain,
~ less(vplus(X1,X2),X2),
inference(rename_variables,[],[i_0_222]) ).
cnf(i_0_352,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_353,plain,
~ geq(vplus(X1,X1),vplus(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_131,i_0_265,i_0_228,i_0_300,i_0_222,i_0_236,i_0_238,i_0_242,i_0_225,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_244,i_0_254,i_0_234,i_0_303,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135,i_0_98,i_0_99,i_0_96,i_0_108,i_0_107]) ).
cnf(i_0_354,plain,
vplus(X1,X2) != vplus(X1,vplus(X2,X3)),
inference(rename_variables,[],[i_0_244]) ).
cnf(i_0_355,plain,
~ greater(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_356,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_357,plain,
$false,
inference(scs_inference,[],[i_0_131,i_0_265,i_0_228,i_0_300,i_0_222,i_0_236,i_0_238,i_0_242,i_0_225,i_0_246,i_0_248,i_0_252,i_0_315,i_0_322,i_0_325,i_0_244,i_0_254,i_0_234,i_0_303,i_0_293,i_0_92,i_0_169,i_0_95,i_0_102,i_0_112,i_0_114,i_0_110,i_0_101,i_0_113,i_0_109,i_0_120,i_0_121,i_0_129,i_0_130,i_0_111,i_0_122,i_0_103,i_0_133,i_0_135,i_0_98,i_0_99,i_0_96,i_0_108,i_0_107,i_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM840+1 : 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 01:17:23 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.68/1.62 % Version : CSE_E---1.7
% 0.68/1.62 % Problem : theBenchmark.p
% 0.68/1.62 % SZS status Theorem for theBenchmark.p
% 0.68/1.62 % SZS output start CNFRefutation
% See solution above
% 1.37/2.31 % Total time : 1.271s
%------------------------------------------------------------------------------