%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM844+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 : n011.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 04:58:42 PM UTC 2026
% Result : Theorem 0.27s 1.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_66)
% Comments :
%------------------------------------------------------------------------------
fof('holds(266, 415, 3)',conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 3)') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X75,X76] :
( vplus(X75,vsucc(X76)) = vsucc(vplus(X75,X76))
& vplus(X75,v1) = vsucc(X75) ),
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('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X2,X3] :
( vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2)
& vmul(X2,v1) = X2 ),
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,
! [X69,X70] : vplus(vsucc(X69),X70) = vsucc(vplus(X69,X70)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X50,X51] :
( ~ greater(X50,X51)
| ~ less(X50,X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,
! [X81,X82] :
( vsucc(X81) = vsucc(X82)
=> X81 = X82 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof('ass(cond(6, 0), 0)',axiom,
! [X79,X80] :
( X79 != X80
=> vsucc(X79) != vsucc(X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X50,X51] :
( X50 != X51
| ~ greater(X50,X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X50,X51] :
( X50 != X51
| ~ less(X50,X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(43, 0), 0)',axiom,
! [X71] : vplus(v1,X71) = vsucc(X71),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof('ass(cond(12, 0), 0)',axiom,
! [X78] : vsucc(X78) != X78,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X77] :
( X77 != v1
=> X77 = vsucc(vskolem2(X77)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X83] : vsucc(X83) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('holds(266, 415, 1)',axiom,
vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 1)') ).
fof('holds(266, 415, 2)',axiom,
vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) = vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 2)') ).
fof('holds(266, 415, 0)',axiom,
vmul(vsucc(vd411),vsucc(vd413)) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X21,X22,X23] :
( greater(vplus(X21,X23),vplus(X22,X23))
=> greater(X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(goal(202), 0), 0)',axiom,
! [X21,X22,X23] :
( less(vplus(X21,X23),vplus(X22,X23))
=> less(X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof('ass(cond(223, 0), 0)',axiom,
! [X9,X10,X11,X12] :
( ( geq(X11,X12)
& geq(X9,X10) )
=> geq(vplus(X9,X11),vplus(X10,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof('ass(cond(goal(216), 0), 0)',axiom,
! [X13,X14,X15,X16] :
( ( ( greater(X15,X16)
& geq(X13,X14) )
| ( geq(X15,X16)
& greater(X13,X14) ) )
=> greater(vplus(X13,X15),vplus(X14,X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(209, 0), 0)',axiom,
! [X17,X18,X19,X20] :
( ( greater(X19,X20)
& greater(X17,X18) )
=> greater(vplus(X17,X19),vplus(X18,X20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X24,X25,X26] :
( greater(X24,X25)
=> greater(vplus(X24,X26),vplus(X25,X26)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(193), 0), 0)',axiom,
! [X24,X25,X26] :
( less(X24,X25)
=> less(vplus(X24,X26),vplus(X25,X26)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X58,X59] :
( X58 = X59
| ? [X60] : X58 = vplus(X59,X60)
| ? [X61] : X59 = vplus(X58,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X72,X73,X74] : vplus(vplus(X72,X73),X74) = vplus(X72,vplus(X73,X74)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('ass(cond(241, 0), 0)',axiom,
! [X4,X5] :
( less(X4,vplus(X5,v1))
=> leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof('holds(265, 414, 0)',axiom,
vmul(vsucc(vd411),vd413) = vplus(vmul(vd411,vd413),vd413),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(265, 414, 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X55,X56] :
( greater(X56,X55)
<=> ? [X57] : X56 = vplus(X55,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X52,X53] :
( less(X53,X52)
<=> ? [X54] : X52 = vplus(X53,X54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(234, 0), 0)',axiom,
! [X6,X7] :
( greater(X6,X7)
=> geq(X6,vplus(X7,v1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X29,X30,X31] :
( ( leq(X30,X31)
& leq(X29,X30) )
=> leq(X29,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X32,X33,X34] :
( ( ( less(X33,X34)
& leq(X32,X33) )
| ( leq(X33,X34)
& less(X32,X33) ) )
=> less(X32,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X35,X36,X37] :
( ( less(X36,X37)
& less(X35,X36) )
=> less(X35,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(goal(88), 0), 2)',axiom,
! [X58,X59] :
( ~ ? [X60] : X58 = vplus(X59,X60)
| ~ ? [X61] : X59 = vplus(X58,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X62,X63] :
( X62 != X63
=> ! [X64] : vplus(X64,X62) != vplus(X64,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(goal(202), 0), 1)',axiom,
! [X21,X22,X23] :
( vplus(X21,X23) = vplus(X22,X23)
=> X21 = X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof('holds(264, 412, 0)',axiom,
vmul(vsucc(vd411),v1) = vsucc(vd411),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(264, 412, 0)') ).
fof('holds(264, 412, 1)',axiom,
vsucc(vd411) = vsucc(vmul(vd411,v1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(264, 412, 1)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X27,X28] : greater(vplus(X27,X28),X27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X44,X45] :
( geq(X45,X44)
<=> ( greater(X45,X44)
| X45 = X44 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X42,X43] :
( leq(X43,X42)
<=> ( less(X43,X42)
| X43 = X42 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X38,X39] :
( leq(X38,X39)
=> geq(X39,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X46,X47] :
( less(X46,X47)
=> greater(X47,X46) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X40,X41] :
( geq(X40,X41)
=> leq(X41,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X48,X49] :
( greater(X48,X49)
=> less(X49,X48) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X50,X51] :
( X50 = X51
| greater(X50,X51)
| less(X50,X51) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X67,X68] : vplus(X68,X67) = vplus(X67,X68),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(goal(88), 0), 3)',axiom,
! [X58,X59] :
( X58 != X59
| ~ ? [X60] : X58 = vplus(X59,X60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof('ass(cond(goal(88), 0), 1)',axiom,
! [X58,X59] :
( X58 != X59
| ~ ? [X61] : X59 = vplus(X58,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X65,X66] : X66 != vplus(X65,X66),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X1] : vmul(v1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof('ass(cond(228, 0), 0)',axiom,
! [X8] : geq(X8,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof(i_0_52,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(266, 415, 3)'])]) ).
fof(i_0_53,plain,
! [X303,X304] :
( vplus(X303,vsucc(X304)) = vsucc(vplus(X303,X304))
& vplus(X303,v1) = vsucc(X303) ),
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_54,plain,
! [X196,X197] :
( vmul(X196,vsucc(X197)) = vplus(vmul(X196,X197),X196)
& vmul(X196,v1) = X196 ),
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_55,plain,
! [X297,X298] : vplus(vsucc(X297),X298) = vsucc(vplus(X297,X298)),
inference(variable_rename,[status(thm)],['ass(cond(52, 0), 0)']) ).
fof(i_0_56,plain,
! [X50,X51] :
( ~ greater(X50,X51)
| ~ less(X50,X51) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(i_0_57,plain,
! [X309,X310] :
( vsucc(X309) != vsucc(X310)
| X309 = X310 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(antec(axiom(3)), imp(antec(axiom(3))))'])]) ).
fof(i_0_58,plain,
! [X307,X308] :
( X307 = X308
| vsucc(X307) != vsucc(X308) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(6, 0), 0)'])]) ).
fof(i_0_59,plain,
! [X50,X51] :
( X50 != X51
| ~ greater(X50,X51) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(i_0_60,plain,
! [X50,X51] :
( X50 != X51
| ~ less(X50,X51) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(i_0_61,plain,
! [X299] : vplus(v1,X299) = vsucc(X299),
inference(variable_rename,[status(thm)],['ass(cond(43, 0), 0)']) ).
fof(i_0_62,plain,
! [X306] : vsucc(X306) != X306,
inference(variable_rename,[status(thm)],['ass(cond(12, 0), 0)']) ).
fof(i_0_63,plain,
! [X305] :
( X305 = v1
| X305 = vsucc(vskolem2(X305)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(i_0_64,plain,
! [X311] : vsucc(X311) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
cnf(i_0_65,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(split_conjunct,[status(thm)],[i_0_52]) ).
cnf(i_0_66,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_53]) ).
cnf(i_0_67,plain,
vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)) = vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)),
inference(split_conjunct,[status(thm)],['holds(266, 415, 1)']) ).
cnf(i_0_68,plain,
vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) = vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))),
inference(split_conjunct,[status(thm)],['holds(266, 415, 2)']) ).
cnf(i_0_69,plain,
vmul(vsucc(vd411),vsucc(vd413)) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)),
inference(split_conjunct,[status(thm)],['holds(266, 415, 0)']) ).
fof(i_0_70,plain,
! [X221,X222,X223] :
( ~ greater(vplus(X221,X223),vplus(X222,X223))
| greater(X221,X222) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
fof(i_0_71,plain,
! [X215,X216,X217] :
( ~ less(vplus(X215,X217),vplus(X216,X217))
| less(X215,X216) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 0)'])]) ).
fof(i_0_72,plain,
! [X203,X204,X205,X206] :
( ~ geq(X205,X206)
| ~ geq(X203,X204)
| geq(vplus(X203,X205),vplus(X204,X206)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(223, 0), 0)'])]) ).
fof(i_0_73,plain,
! [X207,X208,X209,X210] :
( ( ~ greater(X209,X210)
| ~ geq(X207,X208)
| greater(vplus(X207,X209),vplus(X208,X210)) )
& ( ~ geq(X209,X210)
| ~ greater(X207,X208)
| greater(vplus(X207,X209),vplus(X208,X210)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(i_0_74,plain,
! [X211,X212,X213,X214] :
( ~ greater(X213,X214)
| ~ greater(X211,X212)
| greater(vplus(X211,X213),vplus(X212,X214)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(209, 0), 0)'])]) ).
fof(i_0_75,plain,
! [X230,X231,X232] :
( ~ greater(X230,X231)
| greater(vplus(X230,X232),vplus(X231,X232)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
fof(i_0_76,plain,
! [X224,X225,X226] :
( ~ less(X224,X225)
| less(vplus(X224,X226),vplus(X225,X226)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 0)'])]) ).
fof(i_0_77,plain,
! [X276,X277] :
( X276 = X277
| X276 = vplus(X277,esk3_2(X276,X277))
| X277 = vplus(X276,esk4_2(X276,X277)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
fof(i_0_78,plain,
! [X300,X301,X302] : vplus(vplus(X300,X301),X302) = vplus(X300,vplus(X301,X302)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(i_0_79,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_54]) ).
cnf(i_0_80,plain,
vplus(vsucc(X1),X2) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_55]) ).
cnf(i_0_81,plain,
vplus(X1,vsucc(X2)) = vsucc(vplus(X1,X2)),
inference(split_conjunct,[status(thm)],[i_0_53]) ).
fof(i_0_82,plain,
! [X198,X199] :
( ~ less(X198,vplus(X199,v1))
| leq(X198,X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
cnf(i_0_83,plain,
vmul(vsucc(vd411),vd413) = vplus(vmul(vd411,vd413),vd413),
inference(split_conjunct,[status(thm)],['holds(265, 414, 0)']) ).
fof(i_0_84,plain,
! [X270,X271,X273,X274,X275] :
( ( ~ greater(X271,X270)
| X271 = vplus(X270,esk2_2(X270,X271)) )
& ( X274 != vplus(X273,X275)
| greater(X274,X273) ) ),
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_85,plain,
! [X264,X265,X267,X268,X269] :
( ( ~ less(X265,X264)
| X264 = vplus(X265,esk1_2(X264,X265)) )
& ( X267 != vplus(X268,X269)
| less(X268,X267) ) ),
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_86,plain,
! [X200,X201] :
( ~ greater(X200,X201)
| geq(X200,vplus(X201,v1)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(234, 0), 0)'])]) ).
fof(i_0_87,plain,
! [X235,X236,X237] :
( ~ leq(X236,X237)
| ~ leq(X235,X236)
| leq(X235,X237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
fof(i_0_88,plain,
! [X238,X239,X240] :
( ( ~ less(X239,X240)
| ~ leq(X238,X239)
| less(X238,X240) )
& ( ~ leq(X239,X240)
| ~ less(X238,X239)
| less(X238,X240) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
fof(i_0_89,plain,
! [X241,X242,X243] :
( ~ less(X242,X243)
| ~ less(X241,X242)
| less(X241,X243) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
fof(i_0_90,plain,
! [X283,X284,X285,X286] :
( X283 != vplus(X284,X285)
| X284 != vplus(X283,X286) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 2)'])])]) ).
fof(i_0_91,plain,
! [X290,X291,X292] :
( X290 = X291
| vplus(X292,X290) != vplus(X292,X291) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(i_0_92,plain,
! [X218,X219,X220] :
( vplus(X218,X220) != vplus(X219,X220)
| X218 = X219 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 1)'])]) ).
fof(i_0_93,plain,
! [X260,X261] :
( ~ greater(X260,X261)
| ~ less(X260,X261) ),
inference(variable_rename,[status(thm)],[i_0_56]) ).
cnf(i_0_94,plain,
vmul(vsucc(vd411),v1) = vsucc(vd411),
inference(split_conjunct,[status(thm)],['holds(264, 412, 0)']) ).
cnf(i_0_95,plain,
vsucc(vd411) = vsucc(vmul(vd411,v1)),
inference(split_conjunct,[status(thm)],['holds(264, 412, 1)']) ).
cnf(i_0_96,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_57]) ).
cnf(i_0_97,plain,
( X1 = X2
| vsucc(X1) != vsucc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_58]) ).
fof(i_0_98,plain,
! [X233,X234] : greater(vplus(X233,X234),X233),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
fof(i_0_99,plain,
! [X250,X251] :
( ( ~ geq(X251,X250)
| greater(X251,X250)
| X251 = X250 )
& ( ~ greater(X251,X250)
| geq(X251,X250) )
& ( X251 != X250
| geq(X251,X250) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(i_0_100,plain,
! [X248,X249] :
( ( ~ leq(X249,X248)
| less(X249,X248)
| X249 = X248 )
& ( ~ less(X249,X248)
| leq(X249,X248) )
& ( X249 != X248
| leq(X249,X248) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
fof(i_0_101,plain,
! [X244,X245] :
( ~ leq(X244,X245)
| geq(X245,X244) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
fof(i_0_102,plain,
! [X252,X253] :
( ~ less(X252,X253)
| greater(X253,X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(i_0_103,plain,
! [X246,X247] :
( ~ geq(X246,X247)
| leq(X247,X246) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
fof(i_0_104,plain,
! [X254,X255] :
( ~ greater(X254,X255)
| less(X255,X254) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(i_0_105,plain,
! [X256,X257] :
( X256 = X257
| greater(X256,X257)
| less(X256,X257) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(i_0_106,plain,
! [X295,X296] : vplus(X296,X295) = vplus(X295,X296),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(i_0_107,plain,
! [X287,X288,X289] :
( X287 != X288
| X287 != vplus(X288,X289) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 3)'])])]) ).
fof(i_0_108,plain,
! [X280,X281,X282] :
( X280 != X281
| X281 != vplus(X280,X282) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
fof(i_0_109,plain,
! [X262,X263] :
( X262 != X263
| ~ greater(X262,X263) ),
inference(variable_rename,[status(thm)],[i_0_59]) ).
fof(i_0_110,plain,
! [X258,X259] :
( X258 != X259
| ~ less(X258,X259) ),
inference(variable_rename,[status(thm)],[i_0_60]) ).
cnf(i_0_111,plain,
vplus(v1,X1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[i_0_61]) ).
fof(i_0_112,plain,
! [X293,X294] : X294 != vplus(X293,X294),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(i_0_113,plain,
vsucc(X1) != X1,
inference(split_conjunct,[status(thm)],[i_0_62]) ).
cnf(i_0_114,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_63]) ).
cnf(i_0_115,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[i_0_64]) ).
fof(i_0_116,plain,
! [X195] : vmul(v1,X195) = X195,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
fof(i_0_117,plain,
! [X202] : geq(X202,v1),
inference(variable_rename,[status(thm)],['ass(cond(228, 0), 0)']) ).
cnf(i_0_118,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vmul(vd411,vd413),vplus(vplus(vd411,v1),vd413)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_65,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_119,plain,
vplus(vplus(vmul(vd411,vd413),vd413),vplus(vd411,v1)) = vplus(vmul(vplus(vd411,v1),vd413),vplus(vd411,v1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_67,c_0_66]),c_0_66]),c_0_66]),
[final] ).
cnf(i_0_120,plain,
vplus(vplus(vmul(vd411,vd413),vd413),vplus(vd411,v1)) = vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_68,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_121,plain,
vmul(vplus(vd411,v1),vplus(vd413,v1)) = vplus(vmul(vplus(vd411,v1),vd413),vplus(vd411,v1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_69,c_0_66]),c_0_66]),c_0_66]),c_0_66]),
[final] ).
cnf(i_0_122,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_123,plain,
( less(X1,X3)
| ~ less(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_124,plain,
( geq(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_125,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ geq(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_126,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_127,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_128,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_129,plain,
( less(vplus(X1,X3),vplus(X2,X3))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_130,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_131,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_132,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[i_0_79,c_0_66]),
[final] ).
cnf(i_0_133,plain,
vplus(vplus(X1,v1),X2) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_80,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_134,plain,
vplus(X1,vplus(X2,v1)) = vplus(vplus(X1,X2),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_81,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_135,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_136,plain,
vplus(vmul(vd411,vd413),vd413) = vmul(vplus(vd411,v1),vd413),
inference(rw,[status(thm)],[i_0_83,c_0_66]),
[final] ).
cnf(i_0_137,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_138,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_139,plain,
( geq(X1,vplus(X2,v1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_140,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_141,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_142,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_143,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_144,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_145,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_146,plain,
( X1 = X3
| vplus(X1,X2) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_147,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_148,plain,
vmul(vplus(vd411,v1),v1) = vplus(vd411,v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_94,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_149,plain,
vplus(vd411,v1) = vplus(vmul(vd411,v1),v1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_95,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_150,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_96,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_151,plain,
( X1 = X2
| vplus(X1,v1) != vplus(X2,v1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_97,c_0_66]),c_0_66]),
[final] ).
cnf(i_0_152,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_153,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_154,plain,
( less(X1,X2)
| X1 = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_155,plain,
( greater(X1,X2)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_156,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_157,plain,
( geq(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_158,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_159,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_160,plain,
( leq(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_161,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_162,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_163,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_164,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_165,plain,
( X1 != X2
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_166,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_167,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_168,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_169,plain,
vplus(v1,X1) = vplus(X1,v1),
inference(rw,[status(thm)],[i_0_111,c_0_66]),
[final] ).
cnf(i_0_170,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_171,plain,
vplus(X1,v1) != X1,
inference(rw,[status(thm)],[i_0_113,c_0_66]),
[final] ).
cnf(i_0_172,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[i_0_114,c_0_66]),
[final] ).
cnf(i_0_173,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[i_0_115,c_0_66]),
[final] ).
cnf(i_0_174,plain,
( geq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_175,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_176,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_177,plain,
vmul(X1,v1) = X1,
inference(split_conjunct,[status(thm)],[i_0_54]),
[final] ).
cnf(i_0_178,plain,
geq(X1,v1),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_179,axiom,
X1 = X1 ).
cnf(i_0_180,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_181,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_182,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_179_001,axiom,
X1 = X1 ).
cnf(i_0_180_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_181_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_182_004,axiom,
( X1 != X2
| vplus(X1,X3) = vplus(X2,X3) ) ).
cnf(i_0_183_005,axiom,
( X1 != X2
| vplus(X3,X1) = vplus(X3,X2) ) ).
cnf(i_0_184_006,axiom,
( X1 != X2
| vmul(X1,X3) = vmul(X2,X3) ) ).
cnf(i_0_185_007,axiom,
( X1 != X2
| vmul(X3,X1) = vmul(X3,X2) ) ).
cnf(i_0_186_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_187_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_188_010,axiom,
( X1 != X2
| ~ less(X1,X3)
| less(X2,X3) ) ).
cnf(i_0_189_011,axiom,
( X1 != X2
| ~ less(X3,X1)
| less(X3,X2) ) ).
cnf(i_0_190_012,axiom,
( X1 != X2
| ~ geq(X1,X3)
| geq(X2,X3) ) ).
cnf(i_0_191_013,axiom,
( X1 != X2
| ~ geq(X3,X1)
| geq(X3,X2) ) ).
cnf(i_0_192_014,axiom,
( X1 != X2
| ~ leq(X1,X3)
| leq(X2,X3) ) ).
cnf(i_0_193_015,axiom,
( X1 != X2
| ~ leq(X3,X1)
| leq(X3,X2) ) ).
cnf(i_0_194,plain,
X1 = X1,
inference(equality_inference,[],[145]) ).
cnf(i_0_195,plain,
X1 = X1,
inference(equality_inference,[],[146]) ).
cnf(i_0_196,plain,
greater(vplus(X1,X2),X1),
inference(equality_inference,[],[155]) ).
cnf(i_0_197,plain,
less(X1,vplus(X1,X2)),
inference(equality_inference,[],[156]) ).
cnf(i_0_198,plain,
~ greater(X1,X1),
inference(equality_inference,[],[167]) ).
cnf(i_0_199,plain,
~ less(X1,X1),
inference(equality_inference,[],[168]) ).
cnf(i_0_200,plain,
geq(X1,X1),
inference(equality_inference,[],[174]) ).
cnf(i_0_201,plain,
leq(X1,X1),
inference(equality_inference,[],[175]) ).
cnf(i_0_202,plain,
X1 != vplus(vplus(X2,X1),X3),
inference(scs_inference,[],[i_0_164,i_0_144]) ).
cnf(i_0_203,plain,
( X1 != vplus(X2,X3)
| X2 != vplus(X1,X4) ),
inference(rename_variables,[],[i_0_144]) ).
cnf(i_0_204,plain,
vd411 = vmul(vd411,v1),
inference(scs_inference,[],[i_0_164,i_0_149,i_0_144,i_0_146]) ).
cnf(i_0_205,plain,
( vplus(X1,X2) != vplus(X3,X2)
| X1 = X3 ),
inference(rename_variables,[],[i_0_146]) ).
cnf(i_0_206,plain,
X1 = vmul(v1,X1),
inference(scs_inference,[],[i_0_164,i_0_176,i_0_149,i_0_144,i_0_146,i_0_180]) ).
cnf(i_0_207,plain,
$false,
inference(scs_inference,[],[i_0_118,i_0_164,i_0_176,i_0_149,i_0_144,i_0_146,i_0_180,i_0_183]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM844+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n011.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:15:17 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.27/1.62 % Version : CSE_E---1.7
% 0.27/1.62 % Problem : theBenchmark.p
% 0.27/1.62 % SZS status Theorem for theBenchmark.p
% 0.27/1.62 % SZS output start CNFRefutation
% See solution above
% 0.27/1.65 % Total time : 1.274s
%------------------------------------------------------------------------------