%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM853+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 1.07s 1.62s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_80)
% 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,
! [X92,X93] :
( vplus(X92,vsucc(X93)) = vsucc(vplus(X92,X93))
& vplus(X92,v1) = vsucc(X92) ),
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,
! [X86,X87] : vplus(vsucc(X86),X87) = vsucc(vplus(X86,X87)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X67,X68] :
( ~ greater(X67,X68)
| ~ less(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X98,X99] :
( vsucc(X98) = vsucc(X99)
=> X98 = X99 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X96,X97] :
( X96 != X97
=> vsucc(X96) != vsucc(X97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X67,X68] :
( X67 != X68
| ~ less(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X67,X68] :
( X67 != X68
| ~ greater(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X88] : vplus(v1,X88) = vsucc(X88),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X95] : vsucc(X95) != X95,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X94] :
( X94 != v1
=> X94 = vsucc(vskolem2(X94)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X100] : vsucc(X100) != v1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('ass(cond(goal(202), 0), 0)',axiom,
! [X38,X39,X40] :
( less(vplus(X38,X40),vplus(X39,X40))
=> less(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X38,X39,X40] :
( greater(vplus(X38,X40),vplus(X39,X40))
=> greater(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
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(goal(216), 0), 0)',axiom,
! [X30,X31,X32,X33] :
( ( ( greater(X32,X33)
& geq(X30,X31) )
| ( geq(X32,X33)
& greater(X30,X31) ) )
=> greater(vplus(X30,X32),vplus(X31,X33)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X34,X35,X36,X37] :
( ( greater(X36,X37)
& greater(X34,X35) )
=> greater(vplus(X34,X36),vplus(X35,X37)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 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(goal(193), 0), 0)',axiom,
! [X41,X42,X43] :
( less(X41,X42)
=> less(vplus(X41,X43),vplus(X42,X43)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 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(goal(193), 0), 2)',axiom,
! [X41,X42,X43] :
( greater(X41,X42)
=> greater(vplus(X41,X43),vplus(X42,X43)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
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,
! [X75,X76] :
( X75 = X76
| ? [X77] : X75 = vplus(X76,X77)
| ? [X78] : X76 = vplus(X75,X78) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X89,X90,X91] : vplus(vplus(X89,X90),X91) = vplus(X89,vplus(X90,X91)),
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,
! [X72,X73] :
( greater(X73,X72)
<=> ? [X74] : X73 = vplus(X72,X74) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X69,X70] :
( less(X70,X69)
<=> ? [X71] : X69 = vplus(X70,X71) ),
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(184, 0), 0)',axiom,
! [X46,X47,X48] :
( ( leq(X47,X48)
& leq(X46,X47) )
=> leq(X46,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X49,X50,X51] :
( ( ( less(X50,X51)
& leq(X49,X50) )
| ( leq(X50,X51)
& less(X49,X50) ) )
=> less(X49,X51) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X52,X53,X54] :
( ( less(X53,X54)
& less(X52,X53) )
=> less(X52,X54) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X75,X76] :
( ~ ? [X77] : X75 = vplus(X76,X77)
| ~ ? [X78] : X76 = vplus(X75,X78) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X79,X80] :
( X79 != X80
=> ! [X81] : vplus(X81,X79) != vplus(X81,X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(202), 0), 1)',axiom,
! [X38,X39,X40] :
( vplus(X38,X40) = vplus(X39,X40)
=> X38 = X39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X44,X45] : greater(vplus(X44,X45),X44),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X59,X60] :
( leq(X60,X59)
<=> ( less(X60,X59)
| X60 = X59 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X61,X62] :
( geq(X62,X61)
<=> ( greater(X62,X61)
| X62 = X61 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X55,X56] :
( leq(X55,X56)
=> geq(X56,X55) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X57,X58] :
( geq(X57,X58)
=> leq(X58,X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X65,X66] :
( greater(X65,X66)
=> less(X66,X65) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X63,X64] :
( less(X63,X64)
=> greater(X64,X63) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X67,X68] :
( X67 = X68
| greater(X67,X68)
| less(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X84,X85] : vplus(X85,X84) = vplus(X84,X85),
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,
! [X75,X76] :
( X75 != X76
| ~ ? [X77] : X75 = vplus(X76,X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X75,X76] :
( X75 != X76
| ~ ? [X78] : X76 = vplus(X75,X78) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X82,X83] : X83 != vplus(X82,X83),
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_53,plain,
! [X248,X249] : vmul(vsucc(X248),X249) = vplus(vmul(X248,X249),X249),
inference(variable_rename,[status(thm)],['ass(cond(261, 0), 0)']) ).
fof(i_0_54,plain,
! [X358,X359] :
( vplus(X358,vsucc(X359)) = vsucc(vplus(X358,X359))
& vplus(X358,v1) = vsucc(X358) ),
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_55,plain,
! [X251,X252] :
( vmul(X251,vsucc(X252)) = vplus(vmul(X251,X252),X251)
& vmul(X251,v1) = X251 ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).
fof(i_0_56,plain,
! [X352,X353] : vplus(vsucc(X352),X353) = vsucc(vplus(X352,X353)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_57,plain,
! [X67,X68] :
( ~ greater(X67,X68)
| ~ less(X67,X68) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_58,plain,
! [X364,X365] :
( vsucc(X364) != vsucc(X365)
| X364 = X365 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_59,plain,
! [X362,X363] :
( X362 = X363
| vsucc(X362) != vsucc(X363) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_60,plain,
! [X67,X68] :
( X67 != X68
| ~ less(X67,X68) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_61,plain,
! [X67,X68] :
( X67 != X68
| ~ greater(X67,X68) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_62,plain,
! [X354] : vplus(v1,X354) = vsucc(X354),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_63,plain,
! [X361] : vsucc(X361) != X361,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_64,plain,
! [X360] :
( X360 = v1
| X360 = vsucc(vskolem2(X360)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_65,plain,
! [X366] : vsucc(X366) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(i_0_66,plain,
! [X270,X271,X272] :
( ~ less(vplus(X270,X272),vplus(X271,X272))
| less(X270,X271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).
fof(i_0_67,plain,
! [X276,X277,X278] :
( ~ greater(vplus(X276,X278),vplus(X277,X278))
| greater(X276,X277) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
fof(i_0_68,plain,
! [X258,X259,X260,X261] :
( ~ geq(X260,X261)
| ~ geq(X258,X259)
| geq(vplus(X258,X260),vplus(X259,X261)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_69,plain,
! [X262,X263,X264,X265] :
( ( ~ greater(X264,X265)
| ~ geq(X262,X263)
| greater(vplus(X262,X264),vplus(X263,X265)) )
& ( ~ geq(X264,X265)
| ~ greater(X262,X263)
| greater(vplus(X262,X264),vplus(X263,X265)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(i_0_70,plain,
! [X266,X267,X268,X269] :
( ~ greater(X268,X269)
| ~ greater(X266,X267)
| greater(vplus(X266,X268),vplus(X267,X269)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(i_0_71,plain,
! [X243,X244,X245] : vmul(X243,vplus(X244,X245)) = vplus(vmul(X243,X244),vmul(X243,X245)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
fof(i_0_72,plain,
! [X279,X280,X281] :
( ~ less(X279,X280)
| less(vplus(X279,X281),vplus(X280,X281)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_73,plain,
! [X231,X232,X233] :
( ~ less(X232,X233)
| less(vmul(X232,X231),vmul(X233,X231)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 0)'])]) ).
fof(i_0_74,plain,
! [X285,X286,X287] :
( ~ greater(X285,X286)
| greater(vplus(X285,X287),vplus(X286,X287)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_75,plain,
! [X237,X238,X239] :
( ~ greater(X238,X239)
| greater(vmul(X238,X237),vmul(X239,X237)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)'])]) ).
fof(i_0_76,plain,
! [X331,X332] :
( X331 = X332
| X331 = vplus(X332,esk3_2(X331,X332))
| X332 = vplus(X331,esk4_2(X331,X332)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_77,plain,
! [X355,X356,X357] : vplus(vplus(X355,X356),X357) = vplus(X355,vplus(X356,X357)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
fof(i_0_78,plain,
! [X240,X241,X242] : vmul(vmul(X240,X241),X242) = vmul(X240,vmul(X241,X242)),
inference(variable_rename,[status(thm)],['ass(cond(290, 0), 0)']) ).
cnf(i_0_79,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[i_0_53]) ).
cnf(i_0_80,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_54]) ).
cnf(i_0_81,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_55]) ).
cnf(i_0_82,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_56]) ).
cnf(i_0_83,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_54]) ).
fof(i_0_84,plain,
! [X253,X254] :
( ~ less(X253,vplus(X254,v1))
| leq(X253,X254) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
fof(i_0_85,plain,
! [X325,X326,X328,X329,X330] :
( ( ~ greater(X326,X325)
| X326 = vplus(X325,esk2_2(X325,X326)) )
& ( X329 != vplus(X328,X330)
| greater(X329,X328) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 11), 1)'])])])])]) ).
fof(i_0_86,plain,
! [X319,X320,X322,X323,X324] :
( ( ~ less(X320,X319)
| X319 = vplus(X320,esk1_2(X319,X320)) )
& ( X322 != vplus(X323,X324)
| less(X323,X322) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])]) ).
fof(i_0_87,plain,
! [X255,X256] :
( ~ greater(X255,X256)
| geq(X255,vplus(X256,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_88,plain,
! [X290,X291,X292] :
( ~ leq(X291,X292)
| ~ leq(X290,X291)
| leq(X290,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_89,plain,
! [X293,X294,X295] :
( ( ~ less(X294,X295)
| ~ leq(X293,X294)
| less(X293,X295) )
& ( ~ leq(X294,X295)
| ~ less(X293,X294)
| less(X293,X295) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_90,plain,
! [X296,X297,X298] :
( ~ less(X297,X298)
| ~ less(X296,X297)
| less(X296,X298) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_91,plain,
! [X338,X339,X340,X341] :
( X338 != vplus(X339,X340)
| X339 != vplus(X338,X341) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_92,plain,
! [X345,X346,X347] :
( X345 = X346
| vplus(X347,X345) != vplus(X347,X346) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_93,plain,
! [X273,X274,X275] :
( vplus(X273,X275) != vplus(X274,X275)
| X273 = X274 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).
fof(i_0_94,plain,
! [X315,X316] :
( ~ greater(X315,X316)
| ~ less(X315,X316) ),
inference(variable_rename,[status(thm)],[i_0_57]) ).
cnf(i_0_95,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]) ).
cnf(i_0_96,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_59]) ).
fof(i_0_97,plain,
! [X288,X289] : greater(vplus(X288,X289),X288),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_98,plain,
! [X303,X304] :
( ( ~ leq(X304,X303)
| less(X304,X303)
| X304 = X303 )
& ( ~ less(X304,X303)
| leq(X304,X303) )
& ( X304 != X303
| leq(X304,X303) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_99,plain,
! [X305,X306] :
( ( ~ geq(X306,X305)
| greater(X306,X305)
| X306 = X305 )
& ( ~ greater(X306,X305)
| geq(X306,X305) )
& ( X306 != X305
| geq(X306,X305) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_100,plain,
! [X299,X300] :
( ~ leq(X299,X300)
| geq(X300,X299) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_101,plain,
! [X301,X302] :
( ~ geq(X301,X302)
| leq(X302,X301) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_102,plain,
! [X309,X310] :
( ~ greater(X309,X310)
| less(X310,X309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_103,plain,
! [X307,X308] :
( ~ less(X307,X308)
| greater(X308,X307) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_104,plain,
! [X311,X312] :
( X311 = X312
| greater(X311,X312)
| less(X311,X312) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_105,plain,
! [X350,X351] : vplus(X351,X350) = vplus(X350,X351),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_106,plain,
! [X246,X247] : vmul(X246,X247) = vmul(X247,X246),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(i_0_107,plain,
! [X342,X343,X344] :
( X342 != X343
| X342 != vplus(X343,X344) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_108,plain,
! [X335,X336,X337] :
( X335 != X336
| X336 != vplus(X335,X337) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_109,plain,
! [X313,X314] :
( X313 != X314
| ~ less(X313,X314) ),
inference(variable_rename,[status(thm)],[i_0_60]) ).
fof(i_0_110,plain,
! [X317,X318] :
( X317 != X318
| ~ greater(X317,X318) ),
inference(variable_rename,[status(thm)],[i_0_61]) ).
cnf(i_0_111,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_62]) ).
fof(i_0_112,plain,
! [X348,X349] : X349 != vplus(X348,X349),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_113,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_114,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_64]) ).
cnf(i_0_115,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_65]) ).
fof(i_0_116,negated_conjecture,
~ greater(vd486,vd488),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(307), 490, 0)'])]) ).
fof(i_0_117,plain,
! [X250] : vmul(v1,X250) = X250,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
fof(i_0_118,plain,
! [X257] : geq(X257,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_119,plain,
( less(X1,X3)
| ~ less(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_120,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_121,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_122,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_123,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_124,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_125,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_126,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_127,plain,
( less(vmul(X1,X3),vmul(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_128,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_129,plain,
( greater(vmul(X1,X3),vmul(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_130,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_131,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_132,plain,
vmul(vmul(X1,X2),X3) = vmul(X1,vmul(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_133,plain,
vmul(vplus(X1,v1),X2) = vplus(vmul(X1,X2),X2),
inference(rw,[status(thm)],[i_0_79,c_0_80]),
[final] ).
cnf(i_0_134,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[i_0_81,c_0_80]),
[final] ).
cnf(i_0_135,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_82,c_0_80]),c_0_80]),
[final] ).
cnf(i_0_136,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_83,c_0_80]),c_0_80]),
[final] ).
cnf(i_0_137,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_138,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_139,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_140,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_141,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_142,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_143,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_144,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_145,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(split_conjunct,[status(thm)],['holds(antec(307), 489, 0)']),
[final] ).
cnf(i_0_146,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_147,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_148,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_149,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_150,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_95,c_0_80]),c_0_80]),
[final] ).
cnf(i_0_151,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_96,c_0_80]),c_0_80]),
[final] ).
cnf(i_0_152,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_153,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_154,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_155,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_156,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_157,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_158,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_159,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_160,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_161,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_162,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_163,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_164,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_165,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_166,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_167,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_168,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_169,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_170,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_111,c_0_80]),
[final] ).
cnf(i_0_171,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_172,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_113,c_0_80]),
[final] ).
cnf(i_0_173,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_114,c_0_80]),
[final] ).
cnf(i_0_174,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_115,c_0_80]),
[final] ).
cnf(i_0_175,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_176,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_177,negated_conjecture,
~ greater(vd486,vd488),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_178,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_179,plain,
vmul(X1,v1) = X1,
inference(split_conjunct,[status(thm)],[i_0_55]),
[final] ).
cnf(i_0_180,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_181,axiom,
X1 = X1 ).
cnf(i_0_182,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_183,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_184,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_181_001,axiom,
X1 = X1 ).
cnf(i_0_182_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_183_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_184_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_185_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_186_006,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_187_007,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_188_008,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_189_009,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_190_010,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_191_011,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_192_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_193_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_194_014,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_195_015,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_196,plain,
X1 = X1,
inference(equality_inference,[],[147]) ).
cnf(i_0_197,plain,
X1 = X1,
inference(equality_inference,[],[148]) ).
cnf(i_0_198,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[155]) ).
cnf(i_0_199,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[156]) ).
cnf(i_0_200,plain,
~ less(X1,X1),
inference(equality_inference,[],[168]) ).
cnf(i_0_201,plain,
~ greater(X1,X1),
inference(equality_inference,[],[169]) ).
cnf(i_0_202,plain,
geq(X1,X1),
inference(equality_inference,[],[175]) ).
cnf(i_0_203,plain,
leq(X1,X1),
inference(equality_inference,[],[176]) ).
cnf(i_0_204,plain,
greater(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_164,i_0_156]) ).
cnf(i_0_205,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_206,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_164,i_0_156,i_0_146]) ).
cnf(i_0_207,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_208,plain,
~ greater(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_198,i_0_164,i_0_156,i_0_146,i_0_149]) ).
cnf(i_0_209,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_210,plain,
geq(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_164,i_0_156,i_0_146,i_0_149,i_0_157]) ).
cnf(i_0_211,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_212,plain,
less(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161]) ).
cnf(i_0_213,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_214,plain,
vplus(X1,X2) != X1,
inference(scs_inference,[],[i_0_152,i_0_198,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169]) ).
cnf(i_0_215,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_216,plain,
~ less(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139]) ).
cnf(i_0_217,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_218,plain,
less(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155]) ).
cnf(i_0_219,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_220,plain,
leq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159]) ).
cnf(i_0_221,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_222,plain,
leq(v1,X1),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160]) ).
cnf(i_0_223,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_224,plain,
vplus(X1,X2) != X2,
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166]) ).
cnf(i_0_225,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_226,plain,
X1 != vmul(v1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167]) ).
cnf(i_0_227,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_228,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_229,plain,
X1 != vplus(X1,X2),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168]) ).
cnf(i_0_230,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_231,plain,
geq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175]) ).
cnf(i_0_232,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_233,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176]) ).
cnf(i_0_234,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_235,plain,
X1 = vmul(v1,X1),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182]) ).
cnf(i_0_236,plain,
X1 != vplus(vmul(v1,X1),X2),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187]) ).
cnf(i_0_237,plain,
~ geq(X1,vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122]) ).
cnf(i_0_238,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_122]) ).
cnf(i_0_239,plain,
~ greater(vmul(v1,vd486),vd488),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190]) ).
cnf(i_0_240,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_241,plain,
~ greater(vd486,vmul(v1,vd488)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191]) ).
cnf(i_0_242,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_243,plain,
~ less(X1,v1),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142]) ).
cnf(i_0_244,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_245,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_246,plain,
~ leq(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143]) ).
cnf(i_0_247,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_248,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_249,plain,
~ less(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144]) ).
cnf(i_0_250,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_251,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_252,plain,
~ leq(vplus(v1,v1),v1),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_172,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153]) ).
cnf(i_0_253,plain,
vplus(X1,v1) != X1,
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_254,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_255,plain,
vplus(vmul(X1,X2),v1) != vmul(X2,X1),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183]) ).
cnf(i_0_256,plain,
vplus(X1,v1) != X1,
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_257,plain,
~ less(vmul(vd487,vd486),vmul(vd488,vd487)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188]) ).
cnf(i_0_258,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_259,plain,
~ less(vplus(v1,v1),vmul(v1,v1)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189]) ).
cnf(i_0_260,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_261,plain,
~ geq(X1,vmul(v1,vplus(X1,vplus(X2,X3)))),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193]) ).
cnf(i_0_262,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_263,plain,
~ leq(vmul(vd487,vd486),vmul(vd488,vd487)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194]) ).
cnf(i_0_264,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_265,plain,
~ greater(X1,vmul(v1,X1)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138]) ).
cnf(i_0_266,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_267,plain,
~ less(vd486,vd488),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127]) ).
cnf(i_0_268,plain,
( less(vmul(X1,X2),vmul(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_269,plain,
( ~ geq(X1,vplus(X2,X1))
| greater(X1,vplus(X2,X1)) ),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_171,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127,i_0_154]) ).
cnf(i_0_270,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_271,plain,
vd486 = vd488,
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_171,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127,i_0_154,i_0_163]) ).
cnf(i_0_272,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_273,plain,
~ leq(vmul(vd486,vd487),vmul(vd487,vd488)),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_264,i_0_171,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127,i_0_154,i_0_163,i_0_195]) ).
cnf(i_0_274,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_275,plain,
( ~ geq(X1,vplus(X2,X1))
| greater(vplus(X2,X1),vplus(X2,vplus(X2,X1))) ),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_202,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_264,i_0_171,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127,i_0_154,i_0_163,i_0_195,i_0_121]) ).
cnf(i_0_276,plain,
( geq(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_121]) ).
cnf(i_0_277,plain,
( ~ greater(v1,X1)
| greater(vplus(X1,v1),vplus(X1,vplus(X1,v1))) ),
inference(scs_inference,[],[i_0_177,i_0_152,i_0_202,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_264,i_0_171,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127,i_0_154,i_0_163,i_0_195,i_0_121,i_0_140]) ).
cnf(i_0_278,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_279,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_280,plain,
( greater(vplus(X1,v1),vplus(X1,vplus(X1,v1)))
| ~ geq(vmul(v1,v1),vplus(X1,v1)) ),
inference(scs_inference,[],[i_0_177,i_0_201,i_0_152,i_0_202,i_0_200,i_0_244,i_0_247,i_0_198,i_0_180,i_0_164,i_0_165,i_0_258,i_0_264,i_0_171,i_0_172,i_0_253,i_0_178,i_0_227,i_0_240,i_0_242,i_0_260,i_0_262,i_0_145,i_0_156,i_0_146,i_0_149,i_0_157,i_0_161,i_0_169,i_0_139,i_0_155,i_0_159,i_0_160,i_0_166,i_0_167,i_0_168,i_0_175,i_0_176,i_0_182,i_0_187,i_0_122,i_0_190,i_0_191,i_0_142,i_0_143,i_0_144,i_0_153,i_0_183,i_0_188,i_0_189,i_0_193,i_0_194,i_0_138,i_0_127,i_0_154,i_0_163,i_0_195,i_0_121,i_0_140,i_0_124,i_0_192]) ).
cnf(i_0_281,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_282,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(scs_inference,[],[i_0_206,i_0_184]) ).
cnf(i_0_283,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_284,plain,
greater(vmul(vplus(X1,X2),v1),X1),
inference(scs_inference,[],[i_0_206,i_0_179,i_0_184,i_0_156]) ).
cnf(i_0_285,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_286,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_287,plain,
~ greater(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_206,i_0_283,i_0_179,i_0_184,i_0_156,i_0_138]) ).
cnf(i_0_288,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_289,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_290,plain,
X1 != vplus(vmul(vplus(X1,X2),v1),X3),
inference(scs_inference,[],[i_0_206,i_0_283,i_0_179,i_0_285,i_0_184,i_0_156,i_0_138,i_0_146]) ).
cnf(i_0_291,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_292,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_293,plain,
geq(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_204,i_0_206,i_0_283,i_0_179,i_0_285,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157]) ).
cnf(i_0_294,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_295,plain,
~ less(vmul(v1,X1),X1),
inference(scs_inference,[],[i_0_204,i_0_206,i_0_283,i_0_236,i_0_179,i_0_285,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139]) ).
cnf(i_0_296,plain,
X1 != vplus(vmul(v1,X1),X2),
inference(rename_variables,[],[i_0_236]) ).
cnf(i_0_297,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_298,plain,
less(X1,vmul(vplus(X1,X2),v1)),
inference(scs_inference,[],[i_0_204,i_0_206,i_0_283,i_0_236,i_0_179,i_0_285,i_0_291,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155]) ).
cnf(i_0_299,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_300,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_301,plain,
leq(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(scs_inference,[],[i_0_204,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159]) ).
cnf(i_0_302,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_303,plain,
vmul(vplus(X1,X2),v1) != X1,
inference(scs_inference,[],[i_0_204,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166]) ).
cnf(i_0_304,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_305,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_306,plain,
vmul(vd488,vd487) != vmul(vd486,vd487),
inference(scs_inference,[],[i_0_204,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168]) ).
cnf(i_0_307,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_308,plain,
geq(vd486,vd488),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175]) ).
cnf(i_0_309,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_310,plain,
vmul(vd486,vd487) != vmul(vd488,vd487),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169]) ).
cnf(i_0_311,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_312,plain,
X1 != vmul(vplus(X1,X2),v1),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167]) ).
cnf(i_0_313,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_314,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_315,plain,
leq(vd486,vd488),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176]) ).
cnf(i_0_316,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_317,plain,
~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149]) ).
cnf(i_0_318,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_319,plain,
leq(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160]) ).
cnf(i_0_320,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_321,plain,
vd488 = vd486,
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_212,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182]) ).
cnf(i_0_322,plain,
vplus(X1,X2) = vplus(X2,esk4_2(X2,vplus(X1,X2))),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_288,i_0_212,i_0_171,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130]) ).
cnf(i_0_323,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_324,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_325,plain,
~ geq(X1,vplus(vplus(X2,X3),X1)),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_288,i_0_212,i_0_171,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123]) ).
cnf(i_0_326,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_327,plain,
~ leq(vplus(vmul(vd486,vd487),X1),vmul(vd487,vd488)),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_220,i_0_236,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141]) ).
cnf(i_0_328,plain,
leq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_220]) ).
cnf(i_0_329,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_141]) ).
cnf(i_0_330,plain,
~ leq(vmul(vd486,vd487),v1),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143]) ).
cnf(i_0_331,plain,
~ less(X1,v1),
inference(rename_variables,[],[i_0_243]) ).
cnf(i_0_332,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_143]) ).
cnf(i_0_333,plain,
~ less(vplus(vplus(X1,X2),X3),X2),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144]) ).
cnf(i_0_334,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_198]) ).
cnf(i_0_335,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_336,plain,
~ less(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142]) ).
cnf(i_0_337,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_233]) ).
cnf(i_0_338,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_339,plain,
~ leq(vplus(X1,X1),X1),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_214,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153]) ).
cnf(i_0_340,plain,
vplus(X1,X2) != X1,
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_341,plain,
~ less(vplus(X1,X2),X2),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_342,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_343,plain,
~ geq(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_204,i_0_271,i_0_208,i_0_214,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154]) ).
cnf(i_0_344,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_345,plain,
~ greater(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_208]) ).
cnf(i_0_346,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_347,plain,
~ greater(vmul(vd486,v1),vd488),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_271,i_0_208,i_0_214,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190]) ).
cnf(i_0_348,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_349,plain,
~ greater(vmul(v1,vd486),vd486),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191]) ).
cnf(i_0_350,plain,
~ leq(vmul(vd486,vd487),vmul(vmul(vd487,vd488),v1)),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195]) ).
cnf(i_0_351,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_352,plain,
vplus(vd488,X1) != vd486,
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183]) ).
cnf(i_0_353,plain,
vplus(X1,X2) != X1,
inference(rename_variables,[],[i_0_214]) ).
cnf(i_0_354,plain,
~ leq(vmul(vmul(vd486,vd487),v1),vmul(vd487,vd488)),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194]) ).
cnf(i_0_355,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_356,plain,
~ less(vmul(vplus(X1,X2),v1),X2),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188]) ).
cnf(i_0_357,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_358,plain,
~ less(vplus(X1,vd488),vd486),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189]) ).
cnf(i_0_359,plain,
~ less(vplus(X1,X2),X2),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_360,plain,
~ geq(vd486,vplus(vd488,vplus(X1,X2))),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192]) ).
cnf(i_0_361,plain,
~ geq(X1,vplus(X1,vplus(X2,X3))),
inference(rename_variables,[],[i_0_237]) ).
cnf(i_0_362,plain,
~ geq(X1,vmul(vplus(X1,vplus(X2,X3)),v1)),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193]) ).
cnf(i_0_363,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_364,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147]) ).
cnf(i_0_365,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_366,plain,
vplus(vmul(X1,v1),X2) != X1,
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186]) ).
cnf(i_0_367,plain,
~ greater(vd488,vd486),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186,i_0_129]) ).
cnf(i_0_368,plain,
( greater(vmul(X1,X2),vmul(X3,X2))
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_369,plain,
~ less(vplus(vplus(X1,X2),vplus(X1,X2)),X1),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186,i_0_129,i_0_126]) ).
cnf(i_0_370,plain,
( less(vplus(X1,X2),vplus(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_371,plain,
geq(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186,i_0_129,i_0_126,i_0_158]) ).
cnf(i_0_372,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_373,plain,
~ greater(v1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186,i_0_129,i_0_126,i_0_158,i_0_140]) ).
cnf(i_0_374,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_375,plain,
( less(vmul(v1,vd486),vd488)
| vmul(v1,vd486) = vd488 ),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186,i_0_129,i_0_126,i_0_158,i_0_140,i_0_163]) ).
cnf(i_0_376,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_377,plain,
( greater(vd488,vmul(v1,vd486))
| vmul(v1,vd486) = vd488 ),
inference(scs_inference,[],[i_0_177,i_0_204,i_0_239,i_0_271,i_0_208,i_0_214,i_0_340,i_0_206,i_0_283,i_0_288,i_0_237,i_0_361,i_0_212,i_0_273,i_0_171,i_0_198,i_0_233,i_0_216,i_0_341,i_0_220,i_0_236,i_0_243,i_0_179,i_0_285,i_0_291,i_0_299,i_0_304,i_0_313,i_0_348,i_0_351,i_0_355,i_0_357,i_0_145,i_0_184,i_0_156,i_0_138,i_0_146,i_0_157,i_0_139,i_0_155,i_0_159,i_0_166,i_0_168,i_0_175,i_0_169,i_0_167,i_0_176,i_0_149,i_0_160,i_0_182,i_0_130,i_0_123,i_0_141,i_0_143,i_0_144,i_0_142,i_0_153,i_0_154,i_0_190,i_0_191,i_0_195,i_0_183,i_0_194,i_0_188,i_0_189,i_0_192,i_0_193,i_0_147,i_0_186,i_0_129,i_0_126,i_0_158,i_0_140,i_0_163,i_0_162]) ).
cnf(i_0_378,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_379,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_201]) ).
cnf(i_0_380,plain,
geq(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_231]) ).
cnf(i_0_382,plain,
~ geq(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_287,i_0_275]) ).
cnf(i_0_383,plain,
~ greater(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_384,plain,
( greater(vplus(X1,X2),vplus(X1,vplus(X1,X2)))
| ~ geq(X2,vplus(X1,X2)) ),
inference(rename_variables,[],[i_0_275]) ).
cnf(i_0_385,plain,
~ less(vplus(X1,vplus(X2,X3)),X2),
inference(scs_inference,[],[i_0_287,i_0_333,i_0_275,i_0_126]) ).
cnf(i_0_386,plain,
~ less(vplus(vplus(X1,X2),X3),X2),
inference(rename_variables,[],[i_0_333]) ).
cnf(i_0_387,plain,
( less(vplus(X1,X2),vplus(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_126]) ).
cnf(i_0_388,plain,
~ less(vplus(X1,vmul(X2,v1)),X2),
inference(scs_inference,[],[i_0_287,i_0_333,i_0_356,i_0_275,i_0_126,i_0_127]) ).
cnf(i_0_389,plain,
~ less(vmul(vplus(X1,X2),v1),X2),
inference(rename_variables,[],[i_0_356]) ).
cnf(i_0_390,plain,
( less(vmul(X1,X2),vmul(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_127]) ).
cnf(i_0_391,plain,
geq(vd488,vd486),
inference(scs_inference,[],[i_0_287,i_0_333,i_0_356,i_0_315,i_0_275,i_0_126,i_0_127,i_0_158]) ).
cnf(i_0_392,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_393,plain,
~ greater(v1,X1),
inference(scs_inference,[],[i_0_287,i_0_333,i_0_356,i_0_315,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140]) ).
cnf(i_0_394,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_140]) ).
cnf(i_0_395,plain,
vmul(X1,X2) != vplus(vmul(X1,vplus(X2,X3)),X4),
inference(scs_inference,[],[i_0_287,i_0_333,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146]) ).
cnf(i_0_396,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_397,plain,
geq(vmul(vplus(X1,X2),v1),X1),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_333,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157]) ).
cnf(i_0_398,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_399,plain,
leq(X1,vmul(vplus(X1,X2),v1)),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159]) ).
cnf(i_0_400,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_401,plain,
vmul(X1,vplus(X2,X3)) != vmul(X1,X2),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166]) ).
cnf(i_0_402,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_403,plain,
geq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175]) ).
cnf(i_0_404,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_405,plain,
greater(vmul(X1,vplus(X2,X3)),vmul(X1,X2)),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156]) ).
cnf(i_0_406,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_407,plain,
less(vmul(X1,X2),vmul(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155]) ).
cnf(i_0_408,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_155]) ).
cnf(i_0_409,plain,
vmul(X1,X2) != vmul(X1,vplus(X2,X3)),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155,i_0_167]) ).
cnf(i_0_410,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_411,plain,
~ less(vmul(X1,vplus(X2,X3)),vmul(X1,X2)),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155,i_0_167,i_0_139]) ).
cnf(i_0_412,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_413,plain,
leq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155,i_0_167,i_0_139,i_0_176]) ).
cnf(i_0_414,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_415,plain,
~ greater(X1,vmul(vplus(X1,X2),v1)),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155,i_0_167,i_0_139,i_0_176,i_0_149]) ).
cnf(i_0_416,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_417,plain,
leq(vd488,vd486),
inference(scs_inference,[],[i_0_284,i_0_287,i_0_364,i_0_333,i_0_298,i_0_356,i_0_308,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155,i_0_167,i_0_139,i_0_176,i_0_149,i_0_160]) ).
cnf(i_0_418,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_419,plain,
$false,
inference(scs_inference,[],[i_0_284,i_0_271,i_0_287,i_0_364,i_0_310,i_0_333,i_0_298,i_0_356,i_0_308,i_0_315,i_0_125,i_0_275,i_0_126,i_0_127,i_0_158,i_0_140,i_0_146,i_0_157,i_0_159,i_0_166,i_0_175,i_0_156,i_0_155,i_0_167,i_0_139,i_0_176,i_0_149,i_0_160,i_0_186]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM853+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n026.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 01:16:23 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.07/1.62 % Version : CSE_E---1.7
% 1.07/1.62 % Problem : theBenchmark.p
% 1.07/1.62 % SZS status Theorem for theBenchmark.p
% 1.07/1.62 % SZS output start CNFRefutation
% See solution above
% 1.88/2.44 % Total time : 1.272s
%------------------------------------------------------------------------------