%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM848+1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 04:58:43 PM UTC 2026
% Result : Theorem 0.46s 1.62s
% Output : CNFRefutation 1.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_70)
% Comments :
%------------------------------------------------------------------------------
fof('holds(286, 441, 4)',conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 4)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X79,X80] :
( vplus(X79,vsucc(X80)) = vsucc(vplus(X79,X80))
& vplus(X79,v1) = vsucc(X79) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('ass(cond(261, 0), 0)',axiom,
! [X3,X4] : vmul(vsucc(X3),X4) = vplus(vmul(X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X6,X7] :
( vmul(X6,vsucc(X7)) = vplus(vmul(X6,X7),X6)
& vmul(X6,v1) = X6 ),
file('/export/starexec/sandbox/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,
! [X73,X74] : vplus(vsucc(X73),X74) = vsucc(vplus(X73,X74)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X54,X55] :
( ~ greater(X54,X55)
| ~ less(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X85,X86] :
( vsucc(X85) = vsucc(X86)
=> X85 = X86 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X83,X84] :
( X83 != X84
=> vsucc(X83) != vsucc(X84) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X54,X55] :
( X54 != X55
| ~ greater(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X54,X55] :
( X54 != X55
| ~ less(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X75] : vplus(v1,X75) = vsucc(X75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X82] : vsucc(X82) != X82,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X81] :
( X81 != v1
=> X81 = vsucc(vskolem2(X81)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X87] : vsucc(X87) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('holds(286, 441, 1)',axiom,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 1)') ).
fof('holds(286, 441, 0)',axiom,
vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X25,X26,X27] :
( greater(vplus(X25,X27),vplus(X26,X27))
=> greater(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(goal(202), 0), 0)',axiom,
! [X25,X26,X27] :
( less(vplus(X25,X27),vplus(X26,X27))
=> less(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof('ass(cond(223, 0), 0)',axiom,
! [X13,X14,X15,X16] :
( ( geq(X15,X16)
& geq(X13,X14) )
=> geq(vplus(X13,X15),vplus(X14,X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof('ass(cond(goal(216), 0), 0)',axiom,
! [X17,X18,X19,X20] :
( ( ( greater(X19,X20)
& geq(X17,X18) )
| ( geq(X19,X20)
& greater(X17,X18) ) )
=> greater(vplus(X17,X19),vplus(X18,X20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X21,X22,X23,X24] :
( ( greater(X23,X24)
& greater(X21,X22) )
=> greater(vplus(X21,X23),vplus(X22,X24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X28,X29,X30] :
( greater(X28,X29)
=> greater(vplus(X28,X30),vplus(X29,X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X28,X29,X30] :
( less(X28,X29)
=> less(vplus(X28,X30),vplus(X29,X30)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X62,X63] :
( X62 = X63
| ? [X64] : X62 = vplus(X63,X64)
| ? [X65] : X63 = vplus(X62,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X76,X77,X78] : vplus(vplus(X76,X77),X78) = vplus(X76,vplus(X77,X78)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(241, 0), 0)',axiom,
! [X8,X9] :
( less(X8,vplus(X9,v1))
=> leq(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof('holds(284, 438, 1)',axiom,
vmul(vd436,vsucc(vd437)) = vplus(vmul(vd436,vd437),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 1)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X59,X60] :
( greater(X60,X59)
<=> ? [X61] : X60 = vplus(X59,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X56,X57] :
( less(X57,X56)
<=> ? [X58] : X56 = vplus(X57,X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(234, 0), 0)',axiom,
! [X10,X11] :
( greater(X10,X11)
=> geq(X10,vplus(X11,v1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X33,X34,X35] :
( ( leq(X34,X35)
& leq(X33,X34) )
=> leq(X33,X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X36,X37,X38] :
( ( ( less(X37,X38)
& leq(X36,X37) )
| ( leq(X37,X38)
& less(X36,X37) ) )
=> less(X36,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X39,X40,X41] :
( ( less(X40,X41)
& less(X39,X40) )
=> less(X39,X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X62,X63] :
( ~ ? [X64] : X62 = vplus(X63,X64)
| ~ ? [X65] : X63 = vplus(X62,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X66,X67] :
( X66 != X67
=> ! [X68] : vplus(X68,X66) != vplus(X68,X67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(202), 0), 1)',axiom,
! [X25,X26,X27] :
( vplus(X25,X27) = vplus(X26,X27)
=> X25 = X26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X31,X32] : greater(vplus(X31,X32),X31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X48,X49] :
( geq(X49,X48)
<=> ( greater(X49,X48)
| X49 = X48 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X46,X47] :
( leq(X47,X46)
<=> ( less(X47,X46)
| X47 = X46 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X42,X43] :
( leq(X42,X43)
=> geq(X43,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X50,X51] :
( less(X50,X51)
=> greater(X51,X50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X44,X45] :
( geq(X44,X45)
=> leq(X45,X44) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X52,X53] :
( greater(X52,X53)
=> less(X53,X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X54,X55] :
( X54 = X55
| greater(X54,X55)
| less(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X71,X72] : vplus(X72,X71) = vplus(X71,X72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X1,X2] : vmul(X1,X2) = vmul(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X62,X63] :
( X62 != X63
| ~ ? [X64] : X62 = vplus(X63,X64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X62,X63] :
( X62 != X63
| ~ ? [X65] : X63 = vplus(X62,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X69,X70] : X70 != vplus(X69,X70),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X5] : vmul(v1,X5) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof('ass(cond(228, 0), 0)',axiom,
! [X12] : geq(X12,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof('holds(286, 441, 3)',axiom,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 3)') ).
fof('holds(286, 441, 2)',axiom,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
fof('holds(284, 438, 2)',axiom,
vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(284, 438, 2)') ).
fof('holds(285, 440, 0)',axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof(i_0_55,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(286, 441, 4)'])]) ).
fof(i_0_56,plain,
! [X315,X316] :
( vplus(X315,vsucc(X316)) = vsucc(vplus(X315,X316))
& vplus(X315,v1) = vsucc(X315) ),
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_57,plain,
! [X205,X206] : vmul(vsucc(X205),X206) = vplus(vmul(X205,X206),X206),
inference(variable_rename,[status(thm)],['ass(cond(261, 0), 0)']) ).
fof(i_0_58,plain,
! [X208,X209] :
( vmul(X208,vsucc(X209)) = vplus(vmul(X208,X209),X208)
& vmul(X208,v1) = X208 ),
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_59,plain,
! [X309,X310] : vplus(vsucc(X309),X310) = vsucc(vplus(X309,X310)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_60,plain,
! [X54,X55] :
( ~ greater(X54,X55)
| ~ less(X54,X55) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_61,plain,
! [X321,X322] :
( vsucc(X321) != vsucc(X322)
| X321 = X322 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_62,plain,
! [X319,X320] :
( X319 = X320
| vsucc(X319) != vsucc(X320) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_63,plain,
! [X54,X55] :
( X54 != X55
| ~ greater(X54,X55) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_64,plain,
! [X54,X55] :
( X54 != X55
| ~ less(X54,X55) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_65,plain,
! [X311] : vplus(v1,X311) = vsucc(X311),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_66,plain,
! [X318] : vsucc(X318) != X318,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_67,plain,
! [X317] :
( X317 = v1
| X317 = vsucc(vskolem2(X317)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_68,plain,
! [X323] : vsucc(X323) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
cnf(i_0_69,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(split_conjunct,[status(thm)],[i_0_55]) ).
cnf(i_0_70,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_56]) ).
cnf(i_0_71,plain,
vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(split_conjunct,[status(thm)],['holds(286, 441, 1)']) ).
cnf(i_0_72,plain,
vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))),
inference(split_conjunct,[status(thm)],['holds(286, 441, 0)']) ).
fof(i_0_73,plain,
! [X233,X234,X235] :
( ~ greater(vplus(X233,X235),vplus(X234,X235))
| greater(X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
fof(i_0_74,plain,
! [X227,X228,X229] :
( ~ less(vplus(X227,X229),vplus(X228,X229))
| less(X227,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).
fof(i_0_75,plain,
! [X215,X216,X217,X218] :
( ~ geq(X217,X218)
| ~ geq(X215,X216)
| geq(vplus(X215,X217),vplus(X216,X218)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_76,plain,
! [X219,X220,X221,X222] :
( ( ~ greater(X221,X222)
| ~ geq(X219,X220)
| greater(vplus(X219,X221),vplus(X220,X222)) )
& ( ~ geq(X221,X222)
| ~ greater(X219,X220)
| greater(vplus(X219,X221),vplus(X220,X222)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(i_0_77,plain,
! [X223,X224,X225,X226] :
( ~ greater(X225,X226)
| ~ greater(X223,X224)
| greater(vplus(X223,X225),vplus(X224,X226)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(i_0_78,plain,
! [X242,X243,X244] :
( ~ greater(X242,X243)
| greater(vplus(X242,X244),vplus(X243,X244)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_79,plain,
! [X236,X237,X238] :
( ~ less(X236,X237)
| less(vplus(X236,X238),vplus(X237,X238)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_80,plain,
! [X288,X289] :
( X288 = X289
| X288 = vplus(X289,esk3_2(X288,X289))
| X289 = vplus(X288,esk4_2(X288,X289)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_81,plain,
! [X312,X313,X314] : vplus(vplus(X312,X313),X314) = vplus(X312,vplus(X313,X314)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_82,plain,
vmul(vsucc(X1),X2) = vplus(vmul(X1,X2),X2),
inference(split_conjunct,[status(thm)],[i_0_57]) ).
cnf(i_0_83,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_58]) ).
cnf(i_0_84,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_59]) ).
cnf(i_0_85,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_56]) ).
fof(i_0_86,plain,
! [X210,X211] :
( ~ less(X210,vplus(X211,v1))
| leq(X210,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
cnf(i_0_87,plain,
vmul(vd436,vsucc(vd437)) = vplus(vmul(vd436,vd437),vd436),
inference(split_conjunct,[status(thm)],['holds(284, 438, 1)']) ).
fof(i_0_88,plain,
! [X282,X283,X285,X286,X287] :
( ( ~ greater(X283,X282)
| X283 = vplus(X282,esk2_2(X282,X283)) )
& ( X286 != vplus(X285,X287)
| greater(X286,X285) ) ),
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_89,plain,
! [X276,X277,X279,X280,X281] :
( ( ~ less(X277,X276)
| X276 = vplus(X277,esk1_2(X276,X277)) )
& ( X279 != vplus(X280,X281)
| less(X280,X279) ) ),
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_90,plain,
! [X212,X213] :
( ~ greater(X212,X213)
| geq(X212,vplus(X213,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_91,plain,
! [X247,X248,X249] :
( ~ leq(X248,X249)
| ~ leq(X247,X248)
| leq(X247,X249) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_92,plain,
! [X250,X251,X252] :
( ( ~ less(X251,X252)
| ~ leq(X250,X251)
| less(X250,X252) )
& ( ~ leq(X251,X252)
| ~ less(X250,X251)
| less(X250,X252) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_93,plain,
! [X253,X254,X255] :
( ~ less(X254,X255)
| ~ less(X253,X254)
| less(X253,X255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_94,plain,
! [X295,X296,X297,X298] :
( X295 != vplus(X296,X297)
| X296 != vplus(X295,X298) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_95,plain,
! [X302,X303,X304] :
( X302 = X303
| vplus(X304,X302) != vplus(X304,X303) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_96,plain,
! [X230,X231,X232] :
( vplus(X230,X232) != vplus(X231,X232)
| X230 = X231 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).
fof(i_0_97,plain,
! [X272,X273] :
( ~ greater(X272,X273)
| ~ less(X272,X273) ),
inference(variable_rename,[status(thm)],[i_0_60]) ).
cnf(i_0_98,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_61]) ).
cnf(i_0_99,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_62]) ).
fof(i_0_100,plain,
! [X245,X246] : greater(vplus(X245,X246),X245),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_101,plain,
! [X262,X263] :
( ( ~ geq(X263,X262)
| greater(X263,X262)
| X263 = X262 )
& ( ~ greater(X263,X262)
| geq(X263,X262) )
& ( X263 != X262
| geq(X263,X262) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_102,plain,
! [X260,X261] :
( ( ~ leq(X261,X260)
| less(X261,X260)
| X261 = X260 )
& ( ~ less(X261,X260)
| leq(X261,X260) )
& ( X261 != X260
| leq(X261,X260) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_103,plain,
! [X256,X257] :
( ~ leq(X256,X257)
| geq(X257,X256) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_104,plain,
! [X264,X265] :
( ~ less(X264,X265)
| greater(X265,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_105,plain,
! [X258,X259] :
( ~ geq(X258,X259)
| leq(X259,X258) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_106,plain,
! [X266,X267] :
( ~ greater(X266,X267)
| less(X267,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_107,plain,
! [X268,X269] :
( X268 = X269
| greater(X268,X269)
| less(X268,X269) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_108,plain,
! [X307,X308] : vplus(X308,X307) = vplus(X307,X308),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_109,plain,
! [X203,X204] : vmul(X203,X204) = vmul(X204,X203),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(i_0_110,plain,
! [X299,X300,X301] :
( X299 != X300
| X299 != vplus(X300,X301) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_111,plain,
! [X292,X293,X294] :
( X292 != X293
| X293 != vplus(X292,X294) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_112,plain,
! [X274,X275] :
( X274 != X275
| ~ greater(X274,X275) ),
inference(variable_rename,[status(thm)],[i_0_63]) ).
fof(i_0_113,plain,
! [X270,X271] :
( X270 != X271
| ~ less(X270,X271) ),
inference(variable_rename,[status(thm)],[i_0_64]) ).
cnf(i_0_114,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_65]) ).
fof(i_0_115,plain,
! [X305,X306] : X306 != vplus(X305,X306),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_116,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_66]) ).
cnf(i_0_117,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_67]) ).
cnf(i_0_118,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_68]) ).
fof(i_0_119,plain,
! [X207] : vmul(v1,X207) = X207,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
fof(i_0_120,plain,
! [X214] : geq(X214,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_121,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),
inference(rw,[status(thm)],[i_0_69,c_0_70]),
[final] ).
cnf(i_0_122,plain,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
inference(split_conjunct,[status(thm)],['holds(286, 441, 3)']),
[final] ).
cnf(i_0_123,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(split_conjunct,[status(thm)],['holds(286, 441, 2)']),
[final] ).
cnf(i_0_124,plain,
vmul(vd436,vplus(vplus(vd437,vd439),v1)) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(rw,[status(thm)],[i_0_71,c_0_70]),
[final] ).
cnf(i_0_125,plain,
vmul(vd436,vplus(vd437,vplus(vd439,v1))) = vmul(vd436,vplus(vplus(vd437,vd439),v1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_72,c_0_70]),c_0_70]),
[final] ).
cnf(i_0_126,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_127,plain,
( less(X1,X3)
| ~ less(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_128,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_129,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_130,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_131,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_132,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_133,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_134,plain,
vplus(vmul(vd436,vd437),vd436) = vplus(vmul(vd436,vd437),vmul(vd436,v1)),
inference(split_conjunct,[status(thm)],['holds(284, 438, 2)']),
[final] ).
cnf(i_0_135,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(split_conjunct,[status(thm)],['holds(285, 440, 0)']),
[final] ).
cnf(i_0_136,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_137,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_138,plain,
vmul(vplus(X1,v1),X2) = vplus(vmul(X1,X2),X2),
inference(rw,[status(thm)],[i_0_82,c_0_70]),
[final] ).
cnf(i_0_139,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[i_0_83,c_0_70]),
[final] ).
cnf(i_0_140,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_84,c_0_70]),c_0_70]),
[final] ).
cnf(i_0_141,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_85,c_0_70]),c_0_70]),
[final] ).
cnf(i_0_142,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_143,plain,
vmul(vd436,vplus(vd437,v1)) = vplus(vmul(vd436,vd437),vd436),
inference(rw,[status(thm)],[i_0_87,c_0_70]),
[final] ).
cnf(i_0_144,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_145,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_146,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_147,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_148,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_149,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_150,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_151,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_152,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_153,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_154,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_155,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_98,c_0_70]),c_0_70]),
[final] ).
cnf(i_0_156,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_99,c_0_70]),c_0_70]),
[final] ).
cnf(i_0_157,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_158,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_159,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_160,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_161,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_162,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_163,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_164,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_165,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_166,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_167,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_168,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_169,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_170,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_171,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_172,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_173,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_174,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_175,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_114,c_0_70]),
[final] ).
cnf(i_0_176,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_177,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_116,c_0_70]),
[final] ).
cnf(i_0_178,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_117,c_0_70]),
[final] ).
cnf(i_0_179,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_118,c_0_70]),
[final] ).
cnf(i_0_180,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_181,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_182,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_183,plain,
vmul(X1,v1) = X1,
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_184,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_185,axiom,
X1 = X1 ).
cnf(i_0_186,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_187,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_188,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_185_001,axiom,
X1 = X1 ).
cnf(i_0_186_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_187_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_188_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_189_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_190_006,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_191_007,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_192_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_193_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_194_010,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_195_011,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_196_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_197_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_198_014,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_199_015,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_200,plain,
X1 = X1,
inference(equality_inference,[],[152]) ).
cnf(i_0_201,plain,
X1 = X1,
inference(equality_inference,[],[153]) ).
cnf(i_0_202,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[160]) ).
cnf(i_0_203,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[161]) ).
cnf(i_0_204,plain,
~ greater(X1,X1),
inference(equality_inference,[],[173]) ).
cnf(i_0_205,plain,
~ less(X1,X1),
inference(equality_inference,[],[174]) ).
cnf(i_0_206,plain,
geq(X1,X1),
inference(equality_inference,[],[180]) ).
cnf(i_0_207,plain,
leq(X1,X1),
inference(equality_inference,[],[181]) ).
cnf(i_0_208,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_169,i_0_151]) ).
cnf(i_0_209,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_210,plain,
vd436 = vmul(vd436,v1),
inference(scs_inference,[],[i_0_169,i_0_134,i_0_151,i_0_152]) ).
cnf(i_0_211,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_212,plain,
X1 = vmul(v1,X1),
inference(scs_inference,[],[i_0_169,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186]) ).
cnf(i_0_213,plain,
vplus(vmul(vd436,vd439),vd436) != vmul(vd436,vplus(vd439,v1)),
inference(scs_inference,[],[i_0_121,i_0_169,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189]) ).
cnf(i_0_214,plain,
greater(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_121,i_0_169,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160]) ).
cnf(i_0_215,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_216,plain,
less(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_121,i_0_169,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161]) ).
cnf(i_0_217,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_218,plain,
vplus(X1,X2) != X2,
inference(scs_inference,[],[i_0_121,i_0_169,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171]) ).
cnf(i_0_219,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_220,plain,
X1 != vmul(v1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_121,i_0_169,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172]) ).
cnf(i_0_221,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_222,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_223,plain,
vplus(X1,X2) != X1,
inference(scs_inference,[],[i_0_121,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173]) ).
cnf(i_0_224,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_225,plain,
X1 != vplus(X1,X2),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174]) ).
cnf(i_0_226,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_227,plain,
leq(v1,X1),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142]) ).
cnf(i_0_228,plain,
( ~ less(X1,vplus(X2,v1))
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_229,plain,
~ greater(v1,vplus(X1,v1)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144]) ).
cnf(i_0_230,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_231,plain,
~ greater(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154]) ).
cnf(i_0_232,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_233,plain,
geq(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162]) ).
cnf(i_0_234,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_235,plain,
leq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165]) ).
cnf(i_0_236,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_237,plain,
geq(vplus(X1,v1),vplus(v1,X1)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180]) ).
cnf(i_0_238,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_239,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_240,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_238,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181]) ).
cnf(i_0_241,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_242,plain,
X1 != vplus(vmul(v1,X1),X2),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_238,i_0_157,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191]) ).
cnf(i_0_243,plain,
~ geq(v1,vplus(X1,v1)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158]) ).
cnf(i_0_244,plain,
X1 != vplus(X2,X1),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_245,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_246,plain,
less(v1,vplus(vmul(v1,v1),X1)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159]) ).
cnf(i_0_247,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_248,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vplus(vd439,v1)),vmul(vd436,vd437)),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187]) ).
cnf(i_0_249,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_250,plain,
~ geq(X1,vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129]) ).
cnf(i_0_251,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_252,plain,
~ less(vplus(vmul(v1,v1),X1),v1),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_205,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148]) ).
cnf(i_0_253,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_254,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_255,plain,
~ leq(vplus(vplus(X1,vplus(X2,X3)),X2),vplus(X1,vplus(X2,X3))),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_205,i_0_253,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149]) ).
cnf(i_0_256,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_203]) ).
cnf(i_0_257,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_258,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_259,plain,
~ less(vplus(X1,X2),X1),
inference(scs_inference,[],[i_0_121,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150]) ).
cnf(i_0_260,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_203]) ).
cnf(i_0_261,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_262,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192]) ).
cnf(i_0_263,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_264,plain,
~ greater(vplus(X1,vplus(X2,X3)),vplus(X2,vplus(X1,vplus(X2,X3)))),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193]) ).
cnf(i_0_265,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_266,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194]) ).
cnf(i_0_267,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_268,plain,
~ less(vplus(vplus(X1,X2),X3),vplus(X2,X1)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195]) ).
cnf(i_0_269,plain,
~ geq(vmul(v1,v1),vplus(vplus(vmul(v1,v1),X1),v1)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196]) ).
cnf(i_0_270,plain,
vmul(v1,X1) = X1,
inference(rename_variables,[],[i_0_182]) ).
cnf(i_0_271,plain,
~ geq(X1,vplus(vplus(X2,X3),X1)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197]) ).
cnf(i_0_272,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_273,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(X2,X3)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133]) ).
cnf(i_0_274,plain,
( less(vplus(X1,X2),vplus(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_275,plain,
~ less(vmul(v1,v1),v1),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145]) ).
cnf(i_0_276,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_277,plain,
~ greater(v1,vplus(vmul(v1,v1),esk1_2(v1,vmul(v1,v1)))),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146]) ).
cnf(i_0_278,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_279,plain,
geq(vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),vplus(vmul(vd436,vplus(vd439,v1)),vmul(vd436,vd437))),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163]) ).
cnf(i_0_280,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_281,plain,
greater(vplus(vmul(v1,v1),esk1_2(v1,vmul(v1,v1))),v1),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163,i_0_164]) ).
cnf(i_0_282,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_283,plain,
( ~ geq(vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))))
| greater(vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1)))) ),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163,i_0_164,i_0_245]) ).
cnf(i_0_284,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_285,plain,
~ leq(vplus(X1,vplus(X2,vplus(X1,X3))),vplus(X2,vplus(X1,X3))),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_272,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163,i_0_164,i_0_245,i_0_198]) ).
cnf(i_0_286,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_287,plain,
~ leq(vplus(vplus(X1,vplus(X2,X3)),X2),vplus(vplus(X2,X3),X1)),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_272,i_0_286,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163,i_0_164,i_0_245,i_0_198,i_0_199]) ).
cnf(i_0_288,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_289,plain,
( ~ geq(vplus(vmul(vd436,vd439),vd436),vmul(vd436,vplus(vd439,v1)))
| greater(vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1)))) ),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_206,i_0_205,i_0_253,i_0_257,i_0_169,i_0_238,i_0_249,i_0_265,i_0_272,i_0_286,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163,i_0_164,i_0_245,i_0_198,i_0_199,i_0_128]) ).
cnf(i_0_290,plain,
geq(X1,X1),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_291,plain,
( geq(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_128]) ).
cnf(i_0_292,plain,
( ~ greater(v1,vplus(X1,vplus(v1,X2)))
| greater(vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1)))) ),
inference(scs_inference,[],[i_0_121,i_0_204,i_0_203,i_0_256,i_0_206,i_0_205,i_0_253,i_0_257,i_0_184,i_0_169,i_0_238,i_0_249,i_0_265,i_0_272,i_0_286,i_0_157,i_0_176,i_0_182,i_0_221,i_0_134,i_0_151,i_0_152,i_0_186,i_0_189,i_0_160,i_0_161,i_0_171,i_0_172,i_0_173,i_0_174,i_0_142,i_0_144,i_0_154,i_0_162,i_0_165,i_0_180,i_0_181,i_0_191,i_0_158,i_0_159,i_0_187,i_0_129,i_0_148,i_0_149,i_0_150,i_0_192,i_0_193,i_0_194,i_0_195,i_0_196,i_0_197,i_0_133,i_0_145,i_0_146,i_0_163,i_0_164,i_0_245,i_0_198,i_0_199,i_0_128,i_0_130]) ).
cnf(i_0_293,plain,
geq(X1,v1),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_294,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_295,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_296,plain,
leq(X1,X1),
inference(rename_variables,[],[i_0_207]) ).
cnf(i_0_298,plain,
X1 != vplus(X2,vplus(X1,X3)),
inference(scs_inference,[],[i_0_208,i_0_188]) ).
cnf(i_0_299,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_208]) ).
cnf(i_0_300,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) != vplus(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),X1),
inference(scs_inference,[],[i_0_208,i_0_123,i_0_188,i_0_151]) ).
cnf(i_0_301,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_302,plain,
greater(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(scs_inference,[],[i_0_208,i_0_123,i_0_188,i_0_151,i_0_160]) ).
cnf(i_0_303,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_304,plain,
less(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_208,i_0_123,i_0_188,i_0_151,i_0_160,i_0_161]) ).
cnf(i_0_305,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_306,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(scs_inference,[],[i_0_208,i_0_123,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171]) ).
cnf(i_0_307,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_308,plain,
vplus(vmul(v1,v1),esk1_2(v1,vmul(v1,v1))) != v1,
inference(scs_inference,[],[i_0_208,i_0_123,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173]) ).
cnf(i_0_309,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_310,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(scs_inference,[],[i_0_208,i_0_123,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174]) ).
cnf(i_0_311,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_312,plain,
geq(X1,vmul(v1,X1)),
inference(scs_inference,[],[i_0_212,i_0_208,i_0_123,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180]) ).
cnf(i_0_313,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_314,plain,
vmul(vd436,vd437) != vmul(vd436,vplus(vd437,vd439)),
inference(scs_inference,[],[i_0_212,i_0_208,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172]) ).
cnf(i_0_315,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_316,plain,
~ less(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_212,i_0_208,i_0_299,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145]) ).
cnf(i_0_317,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_208]) ).
cnf(i_0_318,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_319,plain,
~ greater(v1,X1),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_208,i_0_299,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146]) ).
cnf(i_0_320,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_321,plain,
geq(vplus(X1,X2),X2),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_214,i_0_208,i_0_299,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162]) ).
cnf(i_0_322,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_323,plain,
leq(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165]) ).
cnf(i_0_324,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_325,plain,
leq(X1,vmul(v1,X1)),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181]) ).
cnf(i_0_326,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_327,plain,
~ greater(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_317,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144]) ).
cnf(i_0_328,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_208]) ).
cnf(i_0_329,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_330,plain,
~ greater(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_317,i_0_123,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154]) ).
cnf(i_0_331,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_332,plain,
geq(vplus(X1,X2),vplus(X2,X1)),
inference(scs_inference,[],[i_0_212,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_317,i_0_123,i_0_240,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163]) ).
cnf(i_0_333,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_334,plain,
greater(vplus(vmul(v1,v1),X1),v1),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_317,i_0_123,i_0_240,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164]) ).
cnf(i_0_335,plain,
( ~ less(X1,X2)
| greater(X2,X1) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_336,plain,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_208,i_0_299,i_0_317,i_0_123,i_0_240,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186]) ).
cnf(i_0_337,plain,
vplus(X1,X1) = vplus(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_225,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136]) ).
cnf(i_0_338,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(rename_variables,[],[i_0_208]) ).
cnf(i_0_339,plain,
X1 != vplus(X1,X2),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_340,plain,
( X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2))
| X1 = X2 ),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_341,plain,
~ geq(X1,vplus(X1,X2)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_225,i_0_339,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_231,i_0_135,i_0_281,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158]) ).
cnf(i_0_342,plain,
X1 != vplus(X1,X2),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_343,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_344,plain,
~ leq(vplus(vmul(v1,v1),X1),v1),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_225,i_0_339,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_231,i_0_135,i_0_281,i_0_205,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149]) ).
cnf(i_0_345,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_346,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_347,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(X3,X2)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_225,i_0_339,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_266,i_0_231,i_0_135,i_0_281,i_0_205,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150]) ).
cnf(i_0_348,plain,
less(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_349,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_350,plain,
~ less(X1,v1),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_225,i_0_339,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_266,i_0_231,i_0_135,i_0_227,i_0_281,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148]) ).
cnf(i_0_351,plain,
~ less(X1,X1),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_352,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_353,plain,
~ leq(vplus(vplus(X1,X2),vplus(X2,X1)),vplus(X2,X1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_225,i_0_339,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_266,i_0_268,i_0_231,i_0_135,i_0_227,i_0_281,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159]) ).
cnf(i_0_354,plain,
vplus(X1,X2) != X2,
inference(rename_variables,[],[i_0_218]) ).
cnf(i_0_355,plain,
~ less(vplus(vplus(X1,X2),X3),vplus(X2,X1)),
inference(rename_variables,[],[i_0_268]) ).
cnf(i_0_356,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_357,plain,
~ geq(X1,vplus(X2,X1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_225,i_0_339,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_135,i_0_227,i_0_281,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129]) ).
cnf(i_0_358,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_359,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_360,plain,
~ leq(vplus(vplus(X1,vplus(X2,vplus(X1,X3))),X4),vplus(X2,vplus(X1,X3))),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147]) ).
cnf(i_0_361,plain,
leq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_235]) ).
cnf(i_0_362,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_363,plain,
vplus(X1,vmul(v1,X2)) != X2,
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187]) ).
cnf(i_0_364,plain,
vplus(X1,X2) != X2,
inference(rename_variables,[],[i_0_218]) ).
cnf(i_0_365,plain,
~ leq(vmul(vplus(X1,vplus(X2,vplus(X1,X3))),v1),vplus(X2,vplus(X1,X3))),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198]) ).
cnf(i_0_366,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_367,plain,
~ leq(vplus(X1,vplus(X2,vplus(X1,X3))),vmul(vplus(X2,vplus(X1,X3)),v1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199]) ).
cnf(i_0_368,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_369,plain,
~ greater(X1,vmul(v1,X1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192]) ).
cnf(i_0_370,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_371,plain,
~ less(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439)))),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194]) ).
cnf(i_0_372,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_373,plain,
~ geq(vmul(v1,v1),vplus(X1,v1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_123,i_0_240,i_0_262,i_0_266,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196]) ).
cnf(i_0_374,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_375,plain,
~ less(vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195]) ).
cnf(i_0_376,plain,
~ less(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_266]) ).
cnf(i_0_377,plain,
~ geq(v1,vmul(vplus(X1,v1),v1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197]) ).
cnf(i_0_378,plain,
vmul(X1,v1) = X1,
inference(rename_variables,[],[i_0_183]) ).
cnf(i_0_379,plain,
~ greater(vmul(v1,X1),X1),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193]) ).
cnf(i_0_380,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_381,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193,i_0_153]) ).
cnf(i_0_382,plain,
( vplus(X1,X2) != vplus(X3,X2)
| X1 = X3 ),
inference(rename_variables,[],[i_0_153]) ).
cnf(i_0_383,plain,
leq(vmul(v1,X1),X1),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193,i_0_153,i_0_166]) ).
cnf(i_0_384,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_385,plain,
X1 = esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193,i_0_153,i_0_166,i_0_152]) ).
cnf(i_0_386,plain,
( vplus(X1,X2) != vplus(X1,X3)
| X2 = X3 ),
inference(rename_variables,[],[i_0_152]) ).
cnf(i_0_387,plain,
vmul(v1,vplus(X1,X2)) != X2,
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193,i_0_153,i_0_166,i_0_152,i_0_189]) ).
cnf(i_0_388,plain,
( ~ greater(vmul(vd436,vd439),vd436)
| ~ greater(vmul(vd436,vd437),vmul(vd436,vplus(vd437,vd439))) ),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193,i_0_153,i_0_166,i_0_152,i_0_189,i_0_131]) ).
cnf(i_0_389,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_390,plain,
( ~ geq(vmul(vd436,vd439),vd436)
| ~ greater(vmul(vd436,vd437),vmul(vd436,vplus(vd437,vd439))) ),
inference(scs_inference,[],[i_0_212,i_0_246,i_0_243,i_0_214,i_0_216,i_0_218,i_0_354,i_0_225,i_0_339,i_0_285,i_0_208,i_0_299,i_0_317,i_0_328,i_0_204,i_0_370,i_0_123,i_0_240,i_0_262,i_0_266,i_0_372,i_0_268,i_0_231,i_0_235,i_0_135,i_0_227,i_0_281,i_0_183,i_0_366,i_0_368,i_0_374,i_0_205,i_0_345,i_0_188,i_0_151,i_0_160,i_0_161,i_0_171,i_0_173,i_0_174,i_0_180,i_0_172,i_0_145,i_0_146,i_0_162,i_0_165,i_0_181,i_0_144,i_0_154,i_0_163,i_0_164,i_0_186,i_0_136,i_0_158,i_0_149,i_0_150,i_0_148,i_0_159,i_0_129,i_0_147,i_0_187,i_0_198,i_0_199,i_0_192,i_0_194,i_0_196,i_0_195,i_0_197,i_0_193,i_0_153,i_0_166,i_0_152,i_0_189,i_0_131,i_0_168,i_0_130]) ).
cnf(i_0_391,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_393,plain,
vmul(vd436,vplus(vd437,vd439)) != vplus(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),X1),
inference(scs_inference,[],[i_0_336,i_0_151]) ).
cnf(i_0_394,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_395,plain,
less(vmul(vd436,vplus(vd437,vd439)),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_151,i_0_161]) ).
cnf(i_0_396,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_397,plain,
vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) != vmul(vd436,vplus(vd437,vd439)),
inference(scs_inference,[],[i_0_336,i_0_151,i_0_161,i_0_171]) ).
cnf(i_0_398,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_399,plain,
geq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_151,i_0_161,i_0_171,i_0_180]) ).
cnf(i_0_400,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_401,plain,
greater(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vmul(vd436,vplus(vd437,vd439))),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160]) ).
cnf(i_0_402,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_403,plain,
~ greater(vmul(v1,v1),X1),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_373,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146]) ).
cnf(i_0_404,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_405,plain,
geq(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_302,i_0_373,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162]) ).
cnf(i_0_406,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_407,plain,
leq(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_302,i_0_373,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181]) ).
cnf(i_0_408,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_409,plain,
vmul(vd436,vplus(vd437,vd439)) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_302,i_0_373,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172]) ).
cnf(i_0_410,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_411,plain,
vplus(vmul(v1,v1),X1) != v1,
inference(scs_inference,[],[i_0_385,i_0_336,i_0_302,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173]) ).
cnf(i_0_412,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_173]) ).
cnf(i_0_413,plain,
~ less(vmul(v1,X1),X1),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_302,i_0_242,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145]) ).
cnf(i_0_414,plain,
X1 != vplus(vmul(v1,X1),X2),
inference(rename_variables,[],[i_0_242]) ).
cnf(i_0_415,plain,
( X1 = vplus(X2,esk1_2(X1,X2))
| ~ less(X2,X1) ),
inference(rename_variables,[],[i_0_145]) ).
cnf(i_0_416,plain,
leq(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_304,i_0_302,i_0_242,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165]) ).
cnf(i_0_417,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_418,plain,
geq(vmul(v1,X1),X1),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_304,i_0_302,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163]) ).
cnf(i_0_419,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_420,plain,
~ greater(vmul(vd436,vplus(vd437,vd439)),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_304,i_0_302,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154]) ).
cnf(i_0_421,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_422,plain,
vmul(vd436,vd437) != vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_304,i_0_300,i_0_302,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188]) ).
cnf(i_0_423,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) != vplus(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),X1),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_424,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(scs_inference,[],[i_0_385,i_0_336,i_0_304,i_0_300,i_0_302,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186]) ).
cnf(i_0_425,plain,
~ leq(vplus(vplus(X1,X2),X3),X1),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_203,i_0_304,i_0_300,i_0_302,i_0_259,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149]) ).
cnf(i_0_426,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_203]) ).
cnf(i_0_427,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_428,plain,
~ less(vplus(vplus(X1,X2),X3),X1),
inference(scs_inference,[],[i_0_385,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150]) ).
cnf(i_0_429,plain,
less(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_203]) ).
cnf(i_0_430,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_431,plain,
~ leq(vplus(X1,vmul(v1,X1)),X1),
inference(scs_inference,[],[i_0_385,i_0_363,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_242,i_0_325,i_0_373,i_0_334,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159]) ).
cnf(i_0_432,plain,
vplus(X1,vmul(v1,X2)) != X2,
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_433,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_434,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_435,plain,
greater(vmul(v1,vplus(X1,v1)),v1),
inference(scs_inference,[],[i_0_385,i_0_363,i_0_387,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_242,i_0_325,i_0_373,i_0_334,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158]) ).
cnf(i_0_436,plain,
vmul(v1,vplus(X1,X2)) != X2,
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_437,plain,
geq(X1,v1),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_438,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_439,plain,
~ less(vplus(X1,vplus(X2,X3)),X2),
inference(scs_inference,[],[i_0_385,i_0_363,i_0_387,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_323,i_0_242,i_0_325,i_0_373,i_0_334,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148]) ).
cnf(i_0_440,plain,
leq(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_323]) ).
cnf(i_0_441,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_442,plain,
~ leq(vplus(X1,vplus(vplus(X2,X3),vplus(X3,X2))),vplus(X3,X2)),
inference(scs_inference,[],[i_0_353,i_0_385,i_0_363,i_0_387,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147]) ).
cnf(i_0_443,plain,
leq(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_323]) ).
cnf(i_0_444,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_445,plain,
vplus(X1,vmul(v1,esk4_2(X2,vplus(X2,X2)))) != X2,
inference(scs_inference,[],[i_0_353,i_0_385,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187]) ).
cnf(i_0_446,plain,
vplus(X1,vmul(v1,X2)) != X2,
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_447,plain,
~ leq(vplus(vplus(vplus(X1,X2),X2),X1),vplus(X2,X1)),
inference(scs_inference,[],[i_0_353,i_0_385,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198]) ).
cnf(i_0_448,plain,
~ leq(vplus(vplus(X1,X2),vplus(X2,X1)),vplus(X2,X1)),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_449,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_450,plain,
~ leq(vplus(vplus(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),vplus(X1,X2)),X1),vplus(vplus(X1,X2),vplus(X1,X2))),
inference(scs_inference,[],[i_0_353,i_0_385,i_0_337,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199]) ).
cnf(i_0_451,plain,
~ leq(vplus(vplus(X1,vplus(X2,X3)),X2),vplus(vplus(X2,X3),X1)),
inference(rename_variables,[],[i_0_287]) ).
cnf(i_0_452,plain,
vplus(X1,X1) = vplus(X1,esk4_2(X1,vplus(X1,X1))),
inference(rename_variables,[],[i_0_337]) ).
cnf(i_0_453,plain,
~ less(vplus(vplus(X1,X2),X3),vplus(X3,X2)),
inference(scs_inference,[],[i_0_353,i_0_385,i_0_337,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194]) ).
cnf(i_0_454,plain,
~ less(vplus(X1,vplus(X2,X3)),vplus(X3,X2)),
inference(rename_variables,[],[i_0_347]) ).
cnf(i_0_455,plain,
~ geq(X1,vplus(esk4_2(X1,vplus(X1,X1)),X2)),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196]) ).
cnf(i_0_456,plain,
~ geq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_457,plain,
~ greater(X1,esk4_2(X1,vplus(X1,X1))),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192]) ).
cnf(i_0_458,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_459,plain,
~ less(vplus(esk4_2(X1,vplus(X1,X1)),X2),X1),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195]) ).
cnf(i_0_460,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_461,plain,
~ geq(esk4_2(X1,vplus(X1,X1)),vplus(X1,X1)),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197]) ).
cnf(i_0_462,plain,
~ geq(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_357]) ).
cnf(i_0_463,plain,
~ greater(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193]) ).
cnf(i_0_464,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_465,plain,
less(v1,vmul(v1,vplus(X1,v1))),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193,i_0_167]) ).
cnf(i_0_466,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_467,plain,
~ less(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X1),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193,i_0_167,i_0_133]) ).
cnf(i_0_468,plain,
( less(vplus(X1,X2),vplus(X3,X2))
| ~ less(X1,X3) ),
inference(rename_variables,[],[i_0_133]) ).
cnf(i_0_469,plain,
leq(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),vplus(X1,X2)),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193,i_0_167,i_0_133,i_0_166]) ).
cnf(i_0_470,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_471,plain,
v1 != vmul(v1,vplus(X1,v1)),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193,i_0_167,i_0_133,i_0_166,i_0_174]) ).
cnf(i_0_472,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_473,plain,
vmul(v1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))) != X2,
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193,i_0_167,i_0_133,i_0_166,i_0_174,i_0_189]) ).
cnf(i_0_474,plain,
( ~ greater(vmul(vd436,vd439),vd436)
| ~ geq(vmul(vd436,vd437),vmul(vd436,vplus(vd437,vd439))) ),
inference(scs_inference,[],[i_0_353,i_0_341,i_0_385,i_0_337,i_0_452,i_0_363,i_0_432,i_0_387,i_0_336,i_0_203,i_0_426,i_0_287,i_0_304,i_0_300,i_0_302,i_0_204,i_0_458,i_0_259,i_0_433,i_0_347,i_0_323,i_0_440,i_0_357,i_0_242,i_0_330,i_0_325,i_0_373,i_0_334,i_0_137,i_0_449,i_0_184,i_0_151,i_0_161,i_0_171,i_0_180,i_0_160,i_0_146,i_0_162,i_0_181,i_0_172,i_0_173,i_0_145,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_149,i_0_150,i_0_159,i_0_158,i_0_148,i_0_147,i_0_187,i_0_198,i_0_199,i_0_194,i_0_196,i_0_192,i_0_195,i_0_197,i_0_193,i_0_167,i_0_133,i_0_166,i_0_174,i_0_189,i_0_129]) ).
cnf(i_0_475,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_476,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_478,plain,
leq(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_399,i_0_166]) ).
cnf(i_0_479,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_480,plain,
geq(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_399,i_0_166,i_0_180]) ).
cnf(i_0_481,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_482,plain,
X1 != vplus(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X3),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_399,i_0_166,i_0_180,i_0_151]) ).
cnf(i_0_483,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_484,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_485,plain,
esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))) != X1,
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171]) ).
cnf(i_0_486,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_487,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_488,plain,
leq(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181]) ).
cnf(i_0_489,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_490,plain,
greater(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160]) ).
cnf(i_0_491,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_492,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_493,plain,
less(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161]) ).
cnf(i_0_494,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_495,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_496,plain,
geq(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vmul(vd436,vplus(vd437,vd439))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_401,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162]) ).
cnf(i_0_497,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_498,plain,
X1 != esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_401,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172]) ).
cnf(i_0_499,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_500,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_501,plain,
leq(vmul(vd436,vplus(vd437,vd439)),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_395,i_0_401,i_0_399,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165]) ).
cnf(i_0_502,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_503,plain,
geq(esk4_2(X1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_395,i_0_401,i_0_399,i_0_407,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163]) ).
cnf(i_0_504,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_505,plain,
~ greater(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_395,i_0_401,i_0_399,i_0_407,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154]) ).
cnf(i_0_506,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_507,plain,
vplus(X1,esk4_2(X1,vplus(X1,X1))) = vplus(X1,X1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_337,i_0_395,i_0_401,i_0_399,i_0_407,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186]) ).
cnf(i_0_508,plain,
~ leq(vplus(X1,vplus(X2,X3)),X2),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_337,i_0_216,i_0_395,i_0_401,i_0_259,i_0_399,i_0_407,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149]) ).
cnf(i_0_509,plain,
less(X1,vplus(X2,X1)),
inference(rename_variables,[],[i_0_216]) ).
cnf(i_0_510,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_511,plain,
~ leq(vplus(X1,vmul(v1,esk4_2(X1,vplus(X1,X1)))),X1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_445,i_0_337,i_0_216,i_0_395,i_0_401,i_0_259,i_0_399,i_0_407,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159]) ).
cnf(i_0_512,plain,
vplus(X1,vmul(v1,esk4_2(X2,vplus(X2,X2)))) != X2,
inference(rename_variables,[],[i_0_445]) ).
cnf(i_0_513,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_514,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_515,plain,
~ less(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vmul(vd436,vd437)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_445,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_259,i_0_513,i_0_399,i_0_407,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150]) ).
cnf(i_0_516,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_517,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_518,plain,
greater(vmul(v1,esk4_2(vplus(X1,v1),vplus(vplus(X1,v1),vplus(X1,v1)))),v1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_445,i_0_473,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_259,i_0_513,i_0_399,i_0_407,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158]) ).
cnf(i_0_519,plain,
vmul(v1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))) != X2,
inference(rename_variables,[],[i_0_473]) ).
cnf(i_0_520,plain,
geq(X1,v1),
inference(rename_variables,[],[i_0_184]) ).
cnf(i_0_521,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_522,plain,
~ less(vmul(v1,vplus(X1,X2)),X1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_445,i_0_473,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148]) ).
cnf(i_0_523,plain,
leq(X1,vmul(v1,X1)),
inference(rename_variables,[],[i_0_325]) ).
cnf(i_0_524,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_525,plain,
~ leq(vplus(vmul(v1,X1),X1),X1),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_431,i_0_445,i_0_473,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147]) ).
cnf(i_0_526,plain,
leq(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_240]) ).
cnf(i_0_527,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_528,plain,
~ geq(v1,vmul(v1,vplus(X1,v1))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_262,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129]) ).
cnf(i_0_529,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_530,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_531,plain,
vplus(vmul(vd436,vd439),vd436) != vmul(vplus(vd439,v1),vd436),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_262,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_170,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187]) ).
cnf(i_0_532,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_533,plain,
~ leq(vplus(vmul(v1,v1),X1),esk4_2(v1,vplus(v1,v1))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_262,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_170,i_0_344,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199]) ).
cnf(i_0_534,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_535,plain,
~ geq(esk4_2(v1,vplus(v1,v1)),vmul(vplus(X1,v1),v1)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_262,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196]) ).
cnf(i_0_536,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_537,plain,
~ less(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vmul(vd436,vplus(vd437,vd439))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_262,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194]) ).
cnf(i_0_538,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_539,plain,
~ greater(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vplus(vmul(vd436,vplus(vd437,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_262,i_0_259,i_0_513,i_0_516,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192]) ).
cnf(i_0_540,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_541,plain,
~ less(vplus(vplus(X1,vd436),vmul(vd436,vplus(vd437,vd439))),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195]) ).
cnf(i_0_542,plain,
~ less(vplus(vplus(X1,X2),X3),vplus(X3,X2)),
inference(rename_variables,[],[i_0_453]) ).
cnf(i_0_543,plain,
~ geq(vmul(vd436,vplus(vd437,vd439)),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_341,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195,i_0_197]) ).
cnf(i_0_544,plain,
~ geq(X1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_341]) ).
cnf(i_0_545,plain,
~ greater(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_341,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_540,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195,i_0_197,i_0_193]) ).
cnf(i_0_546,plain,
~ greater(X1,X1),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_547,plain,
~ greater(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vmul(vd436,vplus(vd437,vd439))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_341,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_540,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195,i_0_197,i_0_193,i_0_132]) ).
cnf(i_0_548,plain,
( greater(vplus(X1,X2),vplus(X3,X2))
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_132]) ).
cnf(i_0_549,plain,
less(v1,vmul(v1,esk4_2(vplus(X1,v1),vplus(vplus(X1,v1),vplus(X1,v1))))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_341,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_540,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195,i_0_197,i_0_193,i_0_132,i_0_167]) ).
cnf(i_0_550,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_551,plain,
v1 != vmul(v1,esk4_2(vplus(X1,v1),vplus(vplus(X1,v1),vplus(X1,v1)))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_341,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_540,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195,i_0_197,i_0_193,i_0_132,i_0_167,i_0_174]) ).
cnf(i_0_552,plain,
( ~ less(X1,X2)
| X1 != X2 ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_553,plain,
~ greater(vmul(vd436,vplus(vd437,vd439)),vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(scs_inference,[],[i_0_336,i_0_424,i_0_483,i_0_486,i_0_491,i_0_494,i_0_499,i_0_534,i_0_213,i_0_431,i_0_445,i_0_473,i_0_435,i_0_341,i_0_337,i_0_216,i_0_304,i_0_395,i_0_401,i_0_204,i_0_540,i_0_262,i_0_259,i_0_513,i_0_516,i_0_453,i_0_399,i_0_407,i_0_170,i_0_344,i_0_377,i_0_206,i_0_240,i_0_325,i_0_184,i_0_166,i_0_180,i_0_151,i_0_171,i_0_181,i_0_160,i_0_161,i_0_162,i_0_172,i_0_165,i_0_163,i_0_154,i_0_186,i_0_149,i_0_159,i_0_150,i_0_158,i_0_148,i_0_147,i_0_129,i_0_187,i_0_199,i_0_196,i_0_194,i_0_192,i_0_195,i_0_197,i_0_193,i_0_132,i_0_167,i_0_174,i_0_130]) ).
cnf(i_0_554,plain,
geq(X1,X1),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_555,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_556,plain,
leq(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_480,i_0_166]) ).
cnf(i_0_557,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_558,plain,
geq(vplus(X1,esk4_2(X1,vplus(X1,X1))),vplus(X1,X1)),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_166,i_0_180]) ).
cnf(i_0_559,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_560,plain,
leq(vplus(X1,esk4_2(X1,vplus(X1,X1))),vplus(X1,X1)),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_166,i_0_180,i_0_181]) ).
cnf(i_0_561,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_562,plain,
X1 != vplus(vplus(X1,esk4_2(X1,vplus(X1,X1))),X2),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_166,i_0_180,i_0_181,i_0_151]) ).
cnf(i_0_563,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_564,plain,
vmul(vplus(X1,v1),X2) != vmul(X1,X2),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171]) ).
cnf(i_0_565,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_566,plain,
greater(vmul(vplus(X1,v1),X2),vmul(X1,X2)),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160]) ).
cnf(i_0_567,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_568,plain,
less(vmul(X1,X2),vmul(vplus(X1,v1),X2)),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161]) ).
cnf(i_0_569,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_570,plain,
vmul(X1,X2) != vmul(vplus(X1,v1),X2),
inference(scs_inference,[],[i_0_507,i_0_480,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172]) ).
cnf(i_0_571,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_572,plain,
geq(esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2))),X1),
inference(scs_inference,[],[i_0_507,i_0_490,i_0_480,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162]) ).
cnf(i_0_573,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_574,plain,
leq(X1,esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_507,i_0_490,i_0_493,i_0_480,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165]) ).
cnf(i_0_575,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_576,plain,
geq(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_507,i_0_490,i_0_493,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163]) ).
cnf(i_0_577,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_578,plain,
~ greater(vmul(X1,X2),vmul(vplus(X1,v1),X2)),
inference(scs_inference,[],[i_0_507,i_0_490,i_0_493,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154]) ).
cnf(i_0_579,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_580,plain,
X1 != vplus(vplus(X1,X2),esk4_2(vplus(X1,X2),vplus(vplus(X1,X2),vplus(X1,X2)))),
inference(scs_inference,[],[i_0_507,i_0_490,i_0_493,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188]) ).
cnf(i_0_581,plain,
vplus(vmul(vd436,vd437),vmul(vd436,v1)) = vplus(vmul(vd436,vd437),vd436),
inference(scs_inference,[],[i_0_507,i_0_490,i_0_493,i_0_134,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186]) ).
cnf(i_0_582,plain,
~ leq(vmul(v1,vplus(X1,X1)),X1),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_490,i_0_493,i_0_134,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159]) ).
cnf(i_0_583,plain,
vmul(v1,vplus(X1,X2)) != X2,
inference(rename_variables,[],[i_0_387]) ).
cnf(i_0_584,plain,
~ less(vmul(v1,vplus(X1,X2)),X1),
inference(rename_variables,[],[i_0_522]) ).
cnf(i_0_585,plain,
( X1 = X2
| ~ leq(X1,X2)
| less(X1,X2) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_586,plain,
~ leq(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vmul(vd436,vd437)),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149]) ).
cnf(i_0_587,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_588,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_149]) ).
cnf(i_0_589,plain,
~ geq(vmul(v1,v1),vmul(v1,vplus(vmul(v1,v1),X1))),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_403,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158]) ).
cnf(i_0_590,plain,
X1 != vmul(v1,vplus(X1,X2)),
inference(rename_variables,[],[i_0_220]) ).
cnf(i_0_591,plain,
~ greater(vmul(v1,v1),X1),
inference(rename_variables,[],[i_0_403]) ).
cnf(i_0_592,plain,
( X1 = X2
| ~ geq(X1,X2)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_593,plain,
~ less(vmul(vplus(v1,v1),X1),X1),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_403,i_0_413,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150]) ).
cnf(i_0_594,plain,
( ~ less(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_150]) ).
cnf(i_0_595,plain,
~ leq(vplus(X1,X1),X1),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147]) ).
cnf(i_0_596,plain,
leq(vmul(v1,X1),X1),
inference(rename_variables,[],[i_0_383]) ).
cnf(i_0_597,plain,
( ~ leq(X1,X2)
| leq(X1,X3)
| ~ leq(X2,X3) ),
inference(rename_variables,[],[i_0_147]) ).
cnf(i_0_598,plain,
~ less(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148]) ).
cnf(i_0_599,plain,
~ less(vplus(X1,X2),X1),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_600,plain,
( ~ leq(X1,X2)
| less(X1,X3)
| ~ less(X2,X3) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_601,plain,
~ leq(vplus(vplus(X1,X1),esk4_2(vplus(X1,X1),vplus(vplus(X1,X1),vplus(X1,X1)))),vplus(X1,X1)),
inference(scs_inference,[],[i_0_507,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198]) ).
cnf(i_0_602,plain,
~ leq(vplus(vplus(X1,X2),vplus(X2,X1)),vplus(X2,X1)),
inference(rename_variables,[],[i_0_353]) ).
cnf(i_0_603,plain,
vplus(X1,esk4_2(X1,vplus(X1,X1))) = vplus(X1,X1),
inference(rename_variables,[],[i_0_507]) ).
cnf(i_0_604,plain,
vplus(X1,vmul(v1,vplus(X2,X2))) != vplus(X2,esk4_2(X2,vplus(X2,X2))),
inference(scs_inference,[],[i_0_507,i_0_603,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187]) ).
cnf(i_0_605,plain,
vplus(X1,vmul(v1,X2)) != X2,
inference(rename_variables,[],[i_0_363]) ).
cnf(i_0_606,plain,
~ leq(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),esk4_2(vmul(vd436,vd437),vplus(vmul(vd436,vd437),vmul(vd436,vd437)))),
inference(scs_inference,[],[i_0_507,i_0_603,i_0_424,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199]) ).
cnf(i_0_607,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_608,plain,
~ geq(esk4_2(v1,vplus(v1,v1)),vmul(v1,vplus(X1,v1))),
inference(scs_inference,[],[i_0_507,i_0_603,i_0_424,i_0_607,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196]) ).
cnf(i_0_609,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_610,plain,
~ less(esk4_2(vmul(v1,X1),vplus(vmul(v1,X1),vmul(v1,X1))),X1),
inference(scs_inference,[],[i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194]) ).
cnf(i_0_611,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_612,plain,
~ less(vplus(vmul(vd436,vplus(vd437,vd439)),vd436),esk4_2(vmul(vd436,vd437),vplus(vmul(vd436,vd437),vmul(vd436,vd437)))),
inference(scs_inference,[],[i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195]) ).
cnf(i_0_613,plain,
esk4_2(X1,vplus(X1,X1)) = X1,
inference(rename_variables,[],[i_0_424]) ).
cnf(i_0_614,plain,
~ geq(vmul(v1,v1),vplus(v1,esk4_2(v1,vplus(v1,v1)))),
inference(scs_inference,[],[i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197]) ).
cnf(i_0_615,plain,
~ geq(vmul(v1,v1),vplus(X1,v1)),
inference(rename_variables,[],[i_0_373]) ).
cnf(i_0_616,plain,
vplus(X1,esk4_2(X1,vplus(X1,X1))) = vplus(X1,X1),
inference(rename_variables,[],[i_0_507]) ).
cnf(i_0_617,plain,
~ greater(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vplus(vd436,vmul(vd436,vplus(vd437,vd439)))),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192]) ).
cnf(i_0_618,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_619,plain,
~ greater(vplus(vd436,vmul(vd436,vplus(vd437,vd439))),vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436)),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_618,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192,i_0_193]) ).
cnf(i_0_620,plain,
~ greater(vplus(X1,X2),vplus(X2,X1)),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_621,plain,
vmul(v1,vplus(v1,v1)) != esk4_2(v1,vplus(v1,v1)),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_618,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192,i_0_193,i_0_189]) ).
cnf(i_0_622,plain,
( ~ greater(vd436,vmul(vd436,vplus(vd437,vd439)))
| ~ greater(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_618,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192,i_0_193,i_0_189,i_0_131]) ).
cnf(i_0_623,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_131]) ).
cnf(i_0_624,plain,
( ~ geq(vd436,vmul(vd436,vplus(vd437,vd439)))
| ~ greater(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_618,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192,i_0_193,i_0_189,i_0_131,i_0_130]) ).
cnf(i_0_625,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X4)
| ~ greater(X1,X3) ),
inference(rename_variables,[],[i_0_130]) ).
cnf(i_0_626,plain,
( less(vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),vplus(vd436,vmul(vd436,vplus(vd437,vd439))))
| vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) = vplus(vd436,vmul(vd436,vplus(vd437,vd439))) ),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_618,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192,i_0_193,i_0_189,i_0_131,i_0_130,i_0_168]) ).
cnf(i_0_627,plain,
( greater(X1,X2)
| less(X1,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_628,plain,
( ~ greater(vd436,vmul(vd436,vplus(vd437,vd439)))
| ~ geq(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436) ),
inference(scs_inference,[],[i_0_336,i_0_507,i_0_603,i_0_424,i_0_607,i_0_609,i_0_611,i_0_363,i_0_387,i_0_353,i_0_220,i_0_304,i_0_490,i_0_493,i_0_262,i_0_618,i_0_134,i_0_259,i_0_587,i_0_403,i_0_515,i_0_383,i_0_413,i_0_522,i_0_480,i_0_488,i_0_528,i_0_138,i_0_373,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_160,i_0_161,i_0_172,i_0_162,i_0_165,i_0_163,i_0_154,i_0_188,i_0_186,i_0_159,i_0_149,i_0_158,i_0_150,i_0_147,i_0_148,i_0_198,i_0_187,i_0_199,i_0_196,i_0_194,i_0_195,i_0_197,i_0_192,i_0_193,i_0_189,i_0_131,i_0_130,i_0_168,i_0_129]) ).
cnf(i_0_629,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ greater(X2,X4)
| ~ geq(X1,X3) ),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_630,plain,
leq(vplus(X1,X1),vplus(X1,esk4_2(X1,vplus(X1,X1)))),
inference(scs_inference,[],[i_0_558,i_0_166]) ).
cnf(i_0_631,plain,
( ~ geq(X1,X2)
| leq(X2,X1) ),
inference(rename_variables,[],[i_0_166]) ).
cnf(i_0_632,plain,
geq(vplus(X1,X1),vplus(X1,esk4_2(X1,vplus(X1,X1)))),
inference(scs_inference,[],[i_0_337,i_0_558,i_0_166,i_0_180]) ).
cnf(i_0_633,plain,
( X1 != X2
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_180]) ).
cnf(i_0_634,plain,
leq(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vmul(vd436,vplus(vd437,vd439))),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_558,i_0_166,i_0_180,i_0_181]) ).
cnf(i_0_635,plain,
( X1 != X2
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_181]) ).
cnf(i_0_636,plain,
vmul(vd436,vd437) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,v1)),X1),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_558,i_0_166,i_0_180,i_0_181,i_0_151]) ).
cnf(i_0_637,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_151]) ).
cnf(i_0_638,plain,
vmul(X1,vplus(X2,v1)) != vmul(X1,X2),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171]) ).
cnf(i_0_639,plain,
( X1 != vplus(X2,X3)
| X1 != X2 ),
inference(rename_variables,[],[i_0_171]) ).
cnf(i_0_640,plain,
geq(vmul(vplus(X1,v1),X2),vmul(X1,X2)),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162]) ).
cnf(i_0_641,plain,
( ~ greater(X1,X2)
| geq(X1,X2) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_642,plain,
vmul(X1,X2) != vmul(X1,vplus(X2,v1)),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172]) ).
cnf(i_0_643,plain,
( X1 != vplus(X2,X3)
| X2 != X1 ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_644,plain,
greater(vmul(X1,vplus(X2,v1)),vmul(X1,X2)),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160]) ).
cnf(i_0_645,plain,
( X1 != vplus(X2,X3)
| greater(X1,X2) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_646,plain,
less(vmul(X1,X2),vmul(X1,vplus(X2,v1))),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160,i_0_161]) ).
cnf(i_0_647,plain,
( X1 != vplus(X2,X3)
| less(X2,X1) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_648,plain,
leq(vmul(X1,X2),vmul(vplus(X1,v1),X2)),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_568,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160,i_0_161,i_0_165]) ).
cnf(i_0_649,plain,
( ~ less(X1,X2)
| leq(X1,X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_650,plain,
geq(vmul(vd436,vplus(vd437,vd439)),vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_568,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160,i_0_161,i_0_165,i_0_163]) ).
cnf(i_0_651,plain,
( ~ leq(X1,X2)
| geq(X2,X1) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_652,plain,
~ greater(vmul(X1,X2),vmul(X1,vplus(X2,v1))),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_581,i_0_566,i_0_568,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160,i_0_161,i_0_165,i_0_163,i_0_154]) ).
cnf(i_0_653,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(rename_variables,[],[i_0_154]) ).
cnf(i_0_654,plain,
vmul(v1,vplus(X1,X1)) != esk4_2(X1,vplus(X1,X1)),
inference(scs_inference,[],[i_0_337,i_0_381,i_0_604,i_0_581,i_0_566,i_0_568,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160,i_0_161,i_0_165,i_0_163,i_0_154,i_0_189]) ).
cnf(i_0_655,plain,
vplus(X1,vmul(v1,vplus(X2,X2))) != vplus(X2,esk4_2(X2,vplus(X2,X2))),
inference(rename_variables,[],[i_0_604]) ).
cnf(i_0_656,plain,
$false,
inference(scs_inference,[],[i_0_337,i_0_381,i_0_604,i_0_581,i_0_213,i_0_566,i_0_568,i_0_558,i_0_139,i_0_166,i_0_180,i_0_181,i_0_151,i_0_171,i_0_162,i_0_172,i_0_160,i_0_161,i_0_165,i_0_163,i_0_154,i_0_189,i_0_186]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM848+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n005.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:15:45 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.46/1.62 % Version : CSE_E---1.7
% 0.46/1.62 % Problem : theBenchmark.p
% 0.46/1.62 % SZS status Theorem for theBenchmark.p
% 0.46/1.62 % SZS output start CNFRefutation
% See solution above
% 1.88/3.10 % Total time : 1.272s
%------------------------------------------------------------------------------