%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM853+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:58:44 PM UTC 2026
% Result : Theorem 0.78s 1.61s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_55)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(261, 0), 0)',axiom,
! [X16,X17] : vmul(vsucc(X16),X17) = vplus(vmul(X16,X17),X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X59,X60] :
( vplus(X59,vsucc(X60)) = vsucc(vplus(X59,X60))
& vplus(X59,v1) = vsucc(X59) ),
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('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X19,X20] :
( vmul(X19,vsucc(X20)) = vplus(vmul(X19,X20),X19)
& vmul(X19,v1) = X19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof('ass(cond(52, 0), 0)',axiom,
! [X53,X54] : vplus(vsucc(X53),X54) = vsucc(vplus(X53,X54)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X34,X35] :
( ~ greater(X34,X35)
| ~ less(X34,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X63,X64] :
( X63 != X64
=> vsucc(X63) != vsucc(X64) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X34,X35] :
( X34 != X35
| ~ less(X34,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X34,X35] :
( X34 != X35
| ~ greater(X34,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X55] : vplus(v1,X55) = vsucc(X55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X62] : vsucc(X62) != X62,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X61] :
( X61 != v1
=> X61 = vsucc(vskolem2(X61)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('ass(cond(223, 0), 0)',axiom,
! [X26,X27,X28,X29] :
( ( geq(X28,X29)
& geq(X26,X27) )
=> geq(vplus(X26,X28),vplus(X27,X29)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof('ass(cond(281, 0), 0)',axiom,
! [X11,X12,X13] : vmul(X11,vplus(X12,X13)) = vplus(vmul(X11,X12),vmul(X11,X13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof('ass(cond(299, 0), 0)',axiom,
! [X1,X2,X3] :
( less(X2,X3)
=> less(vmul(X2,X1),vmul(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
fof('ass(cond(299, 0), 2)',axiom,
! [X1,X6,X7] :
( greater(X6,X7)
=> greater(vmul(X6,X1),vmul(X7,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X42,X43] :
( X42 = X43
| ? [X44] : X42 = vplus(X43,X44)
| ? [X45] : X43 = vplus(X42,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X56,X57,X58] : vplus(vplus(X56,X57),X58) = vplus(X56,vplus(X57,X58)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(290, 0), 0)',axiom,
! [X8,X9,X10] : vmul(vmul(X8,X9),X10) = vmul(X8,vmul(X9,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
fof('ass(cond(241, 0), 0)',axiom,
! [X21,X22] :
( less(X21,vplus(X22,v1))
=> leq(X21,X22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X39,X40] :
( greater(X40,X39)
<=> ? [X41] : X40 = vplus(X39,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X36,X37] :
( less(X37,X36)
<=> ? [X38] : X36 = vplus(X37,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(234, 0), 0)',axiom,
! [X23,X24] :
( greater(X23,X24)
=> geq(X23,vplus(X24,v1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X42,X43] :
( ~ ? [X44] : X42 = vplus(X43,X44)
| ~ ? [X45] : X43 = vplus(X42,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X46,X47] :
( X46 != X47
=> ! [X48] : vplus(X48,X46) != vplus(X48,X47) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X32,X33] :
( greater(X32,X33)
=> less(X33,X32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X30,X31] :
( less(X30,X31)
=> greater(X31,X30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X34,X35] :
( X34 = X35
| greater(X34,X35)
| less(X34,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X51,X52] : vplus(X52,X51) = vplus(X51,X52),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X14,X15] : vmul(X14,X15) = vmul(X15,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X42,X43] :
( X42 != X43
| ~ ? [X44] : X42 = vplus(X43,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X42,X43] :
( X42 != X43
| ~ ? [X45] : X43 = vplus(X42,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X49,X50] : X50 != vplus(X49,X50),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('holds(conseq(307), 490, 0)',conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X18] : vmul(v1,X18) = X18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof('ass(cond(228, 0), 0)',axiom,
! [X25] : geq(X25,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof('holds(antec(307), 489, 0)',axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
fof(i_0_36,plain,
! [X164,X165] : vmul(vsucc(X164),X165) = vplus(vmul(X164,X165),X165),
inference(variable_rename,[status(thm)],['ass(cond(261, 0), 0)']) ).
fof(i_0_37,plain,
! [X229,X230] :
( vplus(X229,vsucc(X230)) = vsucc(vplus(X229,X230))
& vplus(X229,v1) = vsucc(X229) ),
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_38,plain,
! [X167,X168] :
( vmul(X167,vsucc(X168)) = vplus(vmul(X167,X168),X167)
& vmul(X167,v1) = X167 ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).
fof(i_0_39,plain,
! [X223,X224] : vplus(vsucc(X223),X224) = vsucc(vplus(X223,X224)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_40,plain,
! [X34,X35] :
( ~ greater(X34,X35)
| ~ less(X34,X35) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_41,plain,
! [X233,X234] :
( X233 = X234
| vsucc(X233) != vsucc(X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_42,plain,
! [X34,X35] :
( X34 != X35
| ~ less(X34,X35) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_43,plain,
! [X34,X35] :
( X34 != X35
| ~ greater(X34,X35) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_44,plain,
! [X225] : vplus(v1,X225) = vsucc(X225),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_45,plain,
! [X232] : vsucc(X232) != X232,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_46,plain,
! [X231] :
( X231 = v1
| X231 = vsucc(vskolem2(X231)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_47,plain,
! [X174,X175,X176,X177] :
( ~ geq(X176,X177)
| ~ geq(X174,X175)
| geq(vplus(X174,X176),vplus(X175,X177)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_48,plain,
! [X159,X160,X161] : vmul(X159,vplus(X160,X161)) = vplus(vmul(X159,X160),vmul(X159,X161)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
fof(i_0_49,plain,
! [X147,X148,X149] :
( ~ less(X148,X149)
| less(vmul(X148,X147),vmul(X149,X147)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 0)'])]) ).
fof(i_0_50,plain,
! [X153,X154,X155] :
( ~ greater(X154,X155)
| greater(vmul(X154,X153),vmul(X155,X153)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)'])]) ).
fof(i_0_51,plain,
! [X202,X203] :
( X202 = X203
| X202 = vplus(X203,esk3_2(X202,X203))
| X203 = vplus(X202,esk4_2(X202,X203)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_52,plain,
! [X226,X227,X228] : vplus(vplus(X226,X227),X228) = vplus(X226,vplus(X227,X228)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
fof(i_0_53,plain,
! [X156,X157,X158] : vmul(vmul(X156,X157),X158) = vmul(X156,vmul(X157,X158)),
inference(variable_rename,[status(thm)],['ass(cond(290, 0), 0)']) ).
cnf(i_0_54,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[i_0_36]) ).
cnf(i_0_55,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_37]) ).
cnf(i_0_56,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_38]) ).
cnf(i_0_57,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_39]) ).
cnf(i_0_58,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_37]) ).
fof(i_0_59,plain,
! [X169,X170] :
( ~ less(X169,vplus(X170,v1))
| leq(X169,X170) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
fof(i_0_60,plain,
! [X196,X197,X199,X200,X201] :
( ( ~ greater(X197,X196)
| X197 = vplus(X196,esk2_2(X196,X197)) )
& ( X200 != vplus(X199,X201)
| greater(X200,X199) ) ),
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_61,plain,
! [X190,X191,X193,X194,X195] :
( ( ~ less(X191,X190)
| X190 = vplus(X191,esk1_2(X190,X191)) )
& ( X193 != vplus(X194,X195)
| less(X194,X193) ) ),
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_62,plain,
! [X171,X172] :
( ~ greater(X171,X172)
| geq(X171,vplus(X172,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_63,plain,
! [X209,X210,X211,X212] :
( X209 != vplus(X210,X211)
| X210 != vplus(X209,X212) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_64,plain,
! [X216,X217,X218] :
( X216 = X217
| vplus(X218,X216) != vplus(X218,X217) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_65,plain,
! [X186,X187] :
( ~ greater(X186,X187)
| ~ less(X186,X187) ),
inference(variable_rename,[status(thm)],[i_0_40]) ).
cnf(i_0_66,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]) ).
fof(i_0_67,plain,
! [X180,X181] :
( ~ greater(X180,X181)
| less(X181,X180) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_68,plain,
! [X178,X179] :
( ~ less(X178,X179)
| greater(X179,X178) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_69,plain,
! [X182,X183] :
( X182 = X183
| greater(X182,X183)
| less(X182,X183) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_70,plain,
! [X221,X222] : vplus(X222,X221) = vplus(X221,X222),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_71,plain,
! [X162,X163] : vmul(X162,X163) = vmul(X163,X162),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(i_0_72,plain,
! [X213,X214,X215] :
( X213 != X214
| X213 != vplus(X214,X215) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_73,plain,
! [X206,X207,X208] :
( X206 != X207
| X207 != vplus(X206,X208) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_74,plain,
! [X184,X185] :
( X184 != X185
| ~ less(X184,X185) ),
inference(variable_rename,[status(thm)],[i_0_42]) ).
fof(i_0_75,plain,
! [X188,X189] :
( X188 != X189
| ~ greater(X188,X189) ),
inference(variable_rename,[status(thm)],[i_0_43]) ).
cnf(i_0_76,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_44]) ).
fof(i_0_77,plain,
! [X219,X220] : X220 != vplus(X219,X220),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_78,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_45]) ).
cnf(i_0_79,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_46]) ).
fof(i_0_80,negated_conjecture,
~ greater(vd486,vd488),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(307), 490, 0)'])]) ).
fof(i_0_81,plain,
! [X166] : vmul(v1,X166) = X166,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
fof(i_0_82,plain,
! [X173] : geq(X173,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_83,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_84,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_85,plain,
( less(vmul(X1,X3),vmul(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_86,plain,
( greater(vmul(X1,X3),vmul(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_87,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_88,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_89,plain,
vmul(vmul(X1,X2),X3) = vmul(X1,vmul(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_90,plain,
vmul(vplus(X1,v1),X2) = vplus(vmul(X1,X2),X2),
inference(rw,[status(thm)],[i_0_54,c_0_55]),
[final] ).
cnf(i_0_91,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[i_0_56,c_0_55]),
[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_57,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_58,c_0_55]),c_0_55]),
[final] ).
cnf(i_0_94,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[i_0_59]),
[final] ).
cnf(i_0_95,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_96,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_97,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_98,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(split_conjunct,[status(thm)],['holds(antec(307), 489, 0)']),
[final] ).
cnf(i_0_99,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_100,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_101,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_102,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_103,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_61]),
[final] ).
cnf(i_0_104,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_105,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_106,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_107,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_108,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_109,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_110,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_111,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_112,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_113,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_114,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_76,c_0_55]),
[final] ).
cnf(i_0_115,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_116,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_78,c_0_55]),
[final] ).
cnf(i_0_117,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_79,c_0_55]),
[final] ).
cnf(i_0_118,negated_conjecture,
~ greater(vd486,vd488),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_119,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_120,plain,
vmul(X1,v1) = X1,
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_121,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_122,axiom,
X1 = X1 ).
cnf(i_0_123,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_124,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_125,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_126,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_127,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_128,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(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_131,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_132,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_133,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_134,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_135,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_136,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_122_001,axiom,
X1 = X1 ).
cnf(i_0_123_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_124_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_125_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_126_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_127_006,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_128_007,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_129_008,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_130_009,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_131_010,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_132_011,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_133_012,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_134_013,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_135_014,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_136_015,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_137,plain,
X1 = X1,
inference(equality_inference,[],[100]) ).
cnf(i_0_138,plain,
X1 = X1,
inference(equality_inference,[],[102]) ).
cnf(i_0_139,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[103]) ).
cnf(i_0_140,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[104]) ).
cnf(i_0_141,plain,
~ less(X1,X1),
inference(equality_inference,[],[112]) ).
cnf(i_0_142,plain,
~ greater(X1,X1),
inference(equality_inference,[],[113]) ).
cnf(i_0_143,plain,
greater(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_108,i_0_104]) ).
cnf(i_0_144,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_145,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_108,i_0_104,i_0_99]) ).
cnf(i_0_146,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_147,plain,
~ greater(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_139,i_0_108,i_0_104,i_0_99,i_0_101]) ).
cnf(i_0_148,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_149,plain,
less(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_139,i_0_108,i_0_104,i_0_99,i_0_101,i_0_103]) ).
cnf(i_0_150,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_151,plain,
less(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(scs_inference,[],[i_0_139,i_0_108,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105]) ).
cnf(i_0_152,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_153,plain,
vplus(X1,X2) != X2,
inference(scs_inference,[],[i_0_139,i_0_108,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110]) ).
cnf(i_0_154,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_155,plain,
X1 != vmul(v1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_139,i_0_108,i_0_119,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111]) ).
cnf(i_0_156,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_157,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_158,plain,
X1 != vplus(X1,X2),
inference(scs_inference,[],[i_0_139,i_0_108,i_0_119,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112]) ).
cnf(i_0_159,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_160,plain,
vplus(X1,X2) != X1,
inference(scs_inference,[],[i_0_140,i_0_139,i_0_108,i_0_119,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113]) ).
cnf(i_0_161,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_162,plain,
X1 = vmul(v1,X1),
inference(scs_inference,[],[i_0_140,i_0_139,i_0_108,i_0_119,i_0_156,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123]) ).
cnf(i_0_163,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(scs_inference,[],[i_0_140,i_0_139,i_0_108,i_0_119,i_0_156,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125]) ).
cnf(i_0_164,plain,
X1 != vplus(vmul(v1,X1),X2),
inference(scs_inference,[],[i_0_140,i_0_139,i_0_108,i_0_119,i_0_156,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128]) ).
cnf(i_0_165,plain,
leq(X1,X1),
inference(scs_inference,[],[i_0_140,i_0_139,i_0_108,i_0_119,i_0_156,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94]) ).
cnf(i_0_166,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_167,plain,
( ~ less(X1,vplus(X2,v1))
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_168,plain,
~ greater(vmul(v1,vd486),vd488),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_139,i_0_108,i_0_119,i_0_156,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133]) ).
cnf(i_0_169,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_170,plain,
~ greater(vd486,vmul(v1,vd488)),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_139,i_0_108,i_0_119,i_0_156,i_0_169,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134]) ).
cnf(i_0_171,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_172,plain,
X1 != vmul(v1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_139,i_0_108,i_0_115,i_0_119,i_0_156,i_0_169,i_0_171,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134,i_0_124]) ).
cnf(i_0_173,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_174,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(vplus(X2,X3),X1)),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_141,i_0_139,i_0_108,i_0_115,i_0_119,i_0_156,i_0_169,i_0_171,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134,i_0_124,i_0_131]) ).
cnf(i_0_175,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_176,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_108]) ).
cnf(i_0_177,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_141,i_0_175,i_0_139,i_0_108,i_0_176,i_0_115,i_0_119,i_0_156,i_0_169,i_0_171,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134,i_0_124,i_0_131,i_0_132]) ).
cnf(i_0_178,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_179,plain,
~ greater(X1,vmul(v1,X1)),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_141,i_0_175,i_0_139,i_0_108,i_0_176,i_0_115,i_0_119,i_0_156,i_0_169,i_0_171,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134,i_0_124,i_0_131,i_0_132,i_0_95]) ).
cnf(i_0_180,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_181,plain,
( less(vd486,vd488)
| vd486 = vd488 ),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_141,i_0_175,i_0_139,i_0_108,i_0_176,i_0_115,i_0_119,i_0_156,i_0_169,i_0_171,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134,i_0_124,i_0_131,i_0_132,i_0_95,i_0_107]) ).
cnf(i_0_182,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_183,plain,
( greater(vd488,vd486)
| vd486 = vd488 ),
inference(scs_inference,[],[i_0_118,i_0_140,i_0_141,i_0_175,i_0_139,i_0_108,i_0_176,i_0_115,i_0_119,i_0_156,i_0_169,i_0_171,i_0_98,i_0_104,i_0_99,i_0_101,i_0_103,i_0_105,i_0_110,i_0_111,i_0_112,i_0_113,i_0_123,i_0_125,i_0_128,i_0_94,i_0_133,i_0_134,i_0_124,i_0_131,i_0_132,i_0_95,i_0_107,i_0_106]) ).
cnf(i_0_184,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_186,plain,
~ less(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_145,i_0_96]) ).
cnf(i_0_187,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_188,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_189,plain,
greater(vmul(vplus(X1,X2),v1),X1),
inference(scs_inference,[],[i_0_145,i_0_120,i_0_96,i_0_104]) ).
cnf(i_0_190,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_191,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_192,plain,
~ greater(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_145,i_0_187,i_0_120,i_0_96,i_0_104,i_0_95]) ).
cnf(i_0_193,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_194,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_195,plain,
X1 != vplus(vmul(vplus(X1,X2),v1),X3),
inference(scs_inference,[],[i_0_145,i_0_187,i_0_120,i_0_190,i_0_96,i_0_104,i_0_95,i_0_99]) ).
cnf(i_0_196,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_197,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_198,plain,
~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(scs_inference,[],[i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101]) ).
cnf(i_0_199,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_200,plain,
vmul(vd488,vd487) != vmul(vd486,vd487),
inference(scs_inference,[],[i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112]) ).
cnf(i_0_201,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_112]) ).
cnf(i_0_202,plain,
vmul(vd486,vd487) != vmul(vd488,vd487),
inference(scs_inference,[],[i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113]) ).
cnf(i_0_203,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_204,plain,
leq(v1,X1),
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94]) ).
cnf(i_0_205,plain,
less(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_206,plain,
( ~ less(X1,vplus(X2,v1))
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_94]) ).
cnf(i_0_207,plain,
less(X1,vmul(vplus(X1,X2),v1)),
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_196,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103]) ).
cnf(i_0_208,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_209,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_210,plain,
vmul(vplus(X1,X2),v1) != X1,
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110]) ).
cnf(i_0_211,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_212,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_213,plain,
X1 != vmul(vplus(X1,X2),v1),
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111]) ).
cnf(i_0_214,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_215,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_216,plain,
X1 != vplus(X2,vmul(v1,X1)),
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128]) ).
cnf(i_0_217,plain,
X1 != vmul(v1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_218,plain,
X1 = vmul(X1,v1),
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123]) ).
cnf(i_0_219,plain,
X1 != vmul(vplus(vplus(X1,X2),X3),v1),
inference(scs_inference,[],[i_0_149,i_0_145,i_0_187,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125]) ).
cnf(i_0_220,plain,
vplus(X1,X2) = vplus(X2,esk4_2(X2,vplus(X1,X2))),
inference(scs_inference,[],[i_0_115,i_0_149,i_0_145,i_0_187,i_0_193,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87]) ).
cnf(i_0_221,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_222,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_87]) ).
cnf(i_0_223,plain,
~ greater(vmul(vd486,v1),vd488),
inference(scs_inference,[],[i_0_118,i_0_115,i_0_149,i_0_145,i_0_187,i_0_193,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133]) ).
cnf(i_0_224,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_225,plain,
~ greater(vd486,vmul(vd488,v1)),
inference(scs_inference,[],[i_0_118,i_0_115,i_0_149,i_0_145,i_0_187,i_0_193,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134]) ).
cnf(i_0_226,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_227,plain,
~ less(vmul(vplus(X1,X2),v1),vplus(X2,X1)),
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_145,i_0_187,i_0_193,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131]) ).
cnf(i_0_228,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_229,plain,
~ less(vplus(X1,X2),vmul(vplus(X2,X1),v1)),
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_145,i_0_187,i_0_193,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132]) ).
cnf(i_0_230,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_120]) ).
cnf(i_0_231,plain,
vplus(X1,vmul(v1,X2)) != X2,
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124]) ).
cnf(i_0_232,plain,
vplus(X1,X2) != X2,
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_233,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100]) ).
cnf(i_0_234,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_235,plain,
vd488 != vd486,
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100,i_0_127]) ).
cnf(i_0_236,plain,
~ greater(vd488,vd486),
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100,i_0_127,i_0_86]) ).
cnf(i_0_237,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_238,plain,
vmul(v1,vplus(X1,X2)) != X2,
inference(scs_inference,[],[i_0_118,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100,i_0_127,i_0_86,i_0_126]) ).
cnf(i_0_239,plain,
( less(vmul(v1,vd486),vd488)
| vmul(v1,vd486) = vd488 ),
inference(scs_inference,[],[i_0_118,i_0_168,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100,i_0_127,i_0_86,i_0_126,i_0_107]) ).
cnf(i_0_240,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_241,plain,
vd486 = vd488,
inference(scs_inference,[],[i_0_118,i_0_168,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100,i_0_127,i_0_86,i_0_126,i_0_107,i_0_183]) ).
cnf(i_0_242,plain,
( greater(vd488,vmul(v1,vd486))
| vmul(v1,vd486) = vd488 ),
inference(scs_inference,[],[i_0_118,i_0_168,i_0_115,i_0_177,i_0_149,i_0_153,i_0_145,i_0_187,i_0_193,i_0_162,i_0_172,i_0_151,i_0_120,i_0_190,i_0_196,i_0_208,i_0_211,i_0_214,i_0_224,i_0_226,i_0_228,i_0_98,i_0_96,i_0_104,i_0_95,i_0_99,i_0_101,i_0_112,i_0_113,i_0_94,i_0_103,i_0_110,i_0_111,i_0_128,i_0_123,i_0_125,i_0_87,i_0_133,i_0_134,i_0_131,i_0_132,i_0_124,i_0_100,i_0_127,i_0_86,i_0_126,i_0_107,i_0_183,i_0_106]) ).
cnf(i_0_243,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_245,plain,
~ less(vmul(v1,X1),X1),
inference(scs_inference,[],[i_0_164,i_0_96]) ).
cnf(i_0_246,plain,
X1 != vplus(vmul(v1,X1),X2),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_247,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_96]) ).
cnf(i_0_248,plain,
vmul(X1,X2) != vplus(vmul(X1,vplus(X2,X3)),X4),
inference(scs_inference,[],[i_0_164,i_0_84,i_0_96,i_0_99]) ).
cnf(i_0_249,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_250,plain,
greater(vmul(X1,vplus(X2,X3)),vmul(X1,X2)),
inference(scs_inference,[],[i_0_164,i_0_84,i_0_96,i_0_99,i_0_104]) ).
cnf(i_0_251,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_104]) ).
cnf(i_0_252,plain,
~ greater(vmul(X1,X2),vmul(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_164,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95]) ).
cnf(i_0_253,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_95]) ).
cnf(i_0_254,plain,
~ greater(X1,vmul(vplus(X1,X2),v1)),
inference(scs_inference,[],[i_0_164,i_0_207,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95,i_0_101]) ).
cnf(i_0_255,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_101]) ).
cnf(i_0_256,plain,
vmul(X1,vplus(X2,X3)) != vmul(X1,X2),
inference(scs_inference,[],[i_0_164,i_0_207,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95,i_0_101,i_0_110]) ).
cnf(i_0_257,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_110]) ).
cnf(i_0_258,plain,
vmul(X1,X2) != vmul(X1,vplus(X2,X3)),
inference(scs_inference,[],[i_0_164,i_0_207,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95,i_0_101,i_0_110,i_0_111]) ).
cnf(i_0_259,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_260,plain,
less(vmul(X1,X2),vmul(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_164,i_0_207,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95,i_0_101,i_0_110,i_0_111,i_0_103]) ).
cnf(i_0_261,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_262,plain,
vplus(vmul(X1,v1),X2) != X1,
inference(scs_inference,[],[i_0_164,i_0_207,i_0_210,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95,i_0_101,i_0_110,i_0_111,i_0_103,i_0_127]) ).
cnf(i_0_263,plain,
vmul(vplus(X1,X2),v1) != X1,
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_264,plain,
$false,
inference(scs_inference,[],[i_0_241,i_0_164,i_0_207,i_0_210,i_0_235,i_0_84,i_0_96,i_0_99,i_0_104,i_0_95,i_0_101,i_0_110,i_0_111,i_0_103,i_0_127,i_0_123]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM853+2 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n017.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:14:43 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.78/1.61 % Version : CSE_E---1.7
% 0.78/1.61 % Problem : theBenchmark.p
% 0.78/1.61 % SZS status Theorem for theBenchmark.p
% 0.78/1.61 % SZS output start CNFRefutation
% See solution above
% 1.20/2.03 % Total time : 1.272s
%------------------------------------------------------------------------------