%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM856+2 : 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 : n003.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 04:58:45 PM UTC 2026
% Result : Theorem 27.36s 16.70s
% Output : CNFRefutation 27.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 37
% Syntax : Number of formulae : 237 ( 82 unt; 0 def)
% Number of atoms : 454 ( 148 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 392 ( 175 ~; 175 |; 23 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 399 ( 41 sgn 173 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X82,X83] :
( less(X83,X82)
<=> ? [X84] : X82 = vplus(X83,X84) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X97,X98] : vplus(X98,X97) = vplus(X97,X98),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(241, 0), 0)',axiom,
! [X34,X35] :
( less(X34,vplus(X35,v1))
=> leq(X34,X35) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof('holds(conseq(scope(318)), 525, 0)',conjecture,
greater(vmul(vd517,vd519),vmul(vd518,vd520)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(scope(318)), 525, 0)') ).
fof('ass(cond(312, 0), 0)',axiom,
! [X1,X2,X3,X4] :
( ( greater(X3,X4)
& greater(X1,X2) )
=> greater(vmul(X1,X3),vmul(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(312, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 16), 1)',axiom,
! [X74,X75] :
( geq(X75,X74)
<=> ( greater(X75,X74)
| X75 = X74 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof('dis(antec(scope(318)))',axiom,
( ( greater(vd519,vd520)
& geq(vd517,vd518) )
| ( geq(vd519,vd520)
& greater(vd517,vd518) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dis(antec(scope(318)))') ).
fof('ass(cond(goal(130), 0), 1)',axiom,
! [X80,X81] :
( X80 != X81
| ~ less(X80,X81) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof('ass(cond(goal(177), 0), 0)',axiom,
! [X62,X63,X64] :
( ( ( less(X63,X64)
& leq(X62,X63) )
| ( leq(X63,X64)
& less(X62,X63) ) )
=> less(X62,X64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X78,X79] :
( greater(X78,X79)
=> less(X79,X78) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('ass(cond(conjunct1(307), 0), 0)',axiom,
! [X11,X12,X13] :
( greater(vmul(X11,X12),vmul(X13,X12))
=> greater(X11,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)') ).
fof('ass(cond(253, 0), 0)',axiom,
! [X31] : vmul(v1,X31) = X31,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X76,X77] :
( less(X76,X77)
=> greater(X77,X76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof('ass(cond(299, 0), 2)',axiom,
! [X14,X19,X20] :
( greater(X19,X20)
=> greater(vmul(X19,X14),vmul(X20,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X27,X28] : vmul(X27,X28) = vmul(X28,X27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X80,X81] :
( X80 = X81
| greater(X80,X81)
| less(X80,X81) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 11), 1)',axiom,
! [X85,X86] :
( greater(X86,X85)
<=> ? [X87] : X86 = vplus(X85,X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X80,X81] :
( X80 != X81
| ~ greater(X80,X81) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,
! [X113] : vsucc(X113) != v1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X105,X106] :
( vplus(X105,vsucc(X106)) = vsucc(vplus(X105,X106))
& vplus(X105,v1) = vsucc(X105) ),
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(33, 0), 0)',axiom,
! [X102,X103,X104] : vplus(vplus(X102,X103),X104) = vplus(X102,vplus(X103,X104)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X32,X33] :
( vmul(X32,vsucc(X33)) = vplus(vmul(X32,X33),X32)
& vmul(X32,v1) = X32 ),
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(goal(88), 0), 1)',axiom,
! [X88,X89] :
( X88 != X89
| ~ ? [X91] : X89 = vplus(X88,X91) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof('ass(cond(158, 0), 0)',axiom,
! [X70,X71] :
( geq(X70,X71)
=> leq(X71,X70) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof('ass(cond(163, 0), 0)',axiom,
! [X68,X69] :
( leq(X68,X69)
=> geq(X69,X68) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof('ass(cond(20, 0), 0)',axiom,
! [X107] :
( X107 != v1
=> X107 = vsucc(vskolem2(X107)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof('ass(cond(81, 0), 0)',axiom,
! [X92,X93] :
( X92 != X93
=> ! [X94] : vplus(X94,X92) != vplus(X94,X93) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X57,X58] : greater(vplus(X57,X58),X57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof('ass(cond(goal(88), 0), 0)',axiom,
! [X88,X89] :
( X88 = X89
| ? [X90] : X88 = vplus(X89,X90)
| ? [X91] : X89 = vplus(X88,X91) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof('ass(cond(goal(202), 0), 2)',axiom,
! [X51,X52,X53] :
( greater(vplus(X51,X53),vplus(X52,X53))
=> greater(X51,X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X54,X55,X56] :
( greater(X54,X55)
=> greater(vplus(X54,X56),vplus(X55,X56)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X80,X81] :
( ~ greater(X80,X81)
| ~ less(X80,X81) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(goal(216), 0), 0)',axiom,
! [X43,X44,X45,X46] :
( ( ( greater(X45,X46)
& geq(X43,X44) )
| ( geq(X45,X46)
& greater(X43,X44) ) )
=> greater(vplus(X43,X45),vplus(X44,X46)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof('ass(cond(184, 0), 0)',axiom,
! [X59,X60,X61] :
( ( leq(X60,X61)
& leq(X59,X60) )
=> leq(X59,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof('ass(cond(281, 0), 0)',axiom,
! [X24,X25,X26] : vmul(X24,vplus(X25,X26)) = vplus(vmul(X24,X25),vmul(X24,X26)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof('ass(cond(73, 0), 0)',axiom,
! [X95,X96] : X96 != vplus(X95,X96),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof('def(cond(conseq(axiom(3)), 17), 1)',axiom,
! [X72,X73] :
( leq(X73,X72)
<=> ( less(X73,X72)
| X73 = X72 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(c_0_37,plain,
! [X358,X359,X361,X362,X363] :
( ( ~ less(X359,X358)
| X358 = vplus(X359,esk1_2(X358,X359)) )
& ( X361 != vplus(X362,X363)
| less(X362,X361) ) ),
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)'])])])])]) ).
cnf(c_0_38,plain,
( less(X2,X1)
| X1 != vplus(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_39,plain,
! [X389,X390] : vplus(X390,X389) = vplus(X389,X390),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_40,plain,
! [X292,X293] :
( ~ less(X292,vplus(X293,v1))
| leq(X292,X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(241, 0), 0)'])]) ).
cnf(c_0_41,plain,
less(X1,vplus(X1,X2)),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(conseq(scope(318)), 525, 0)'])]) ).
fof(c_0_44,plain,
! [X257,X258,X259,X260] :
( ~ greater(X259,X260)
| ~ greater(X257,X258)
| greater(vmul(X257,X259),vmul(X258,X260)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(312, 0), 0)'])]) ).
fof(c_0_45,plain,
! [X344,X345] :
( ( ~ geq(X345,X344)
| greater(X345,X344)
| X345 = X344 )
& ( ~ greater(X345,X344)
| geq(X345,X344) )
& ( X345 != X344
| geq(X345,X344) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 16), 1)'])])]) ).
fof(c_0_46,plain,
( ( geq(vd519,vd520)
| greater(vd519,vd520) )
& ( greater(vd517,vd518)
| greater(vd519,vd520) )
& ( geq(vd519,vd520)
| geq(vd517,vd518) )
& ( greater(vd517,vd518)
| geq(vd517,vd518) ) ),
inference(distribute,[status(thm)],['dis(antec(scope(318)))']) ).
fof(c_0_47,plain,
! [X80,X81] :
( X80 != X81
| ~ less(X80,X81) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 1)']) ).
fof(c_0_48,plain,
! [X332,X333,X334] :
( ( ~ less(X333,X334)
| ~ leq(X332,X333)
| less(X332,X334) )
& ( ~ leq(X333,X334)
| ~ less(X332,X333)
| less(X332,X334) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(177), 0), 0)'])])]) ).
cnf(c_0_49,plain,
( leq(X1,X2)
| ~ less(X1,vplus(X2,v1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
less(X1,vplus(X2,X1)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,plain,
( greater(vmul(X3,X1),vmul(X4,X2))
| ~ greater(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,plain,
( greater(X1,X2)
| X1 = X2
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
( geq(vd519,vd520)
| greater(vd519,vd520) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_55,plain,
! [X352,X353] :
( X352 != X353
| ~ less(X352,X353) ),
inference(variable_rename,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( less(X3,X2)
| ~ leq(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,plain,
leq(v1,X1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_58,plain,
! [X348,X349] :
( ~ greater(X348,X349)
| less(X349,X348) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
cnf(c_0_59,negated_conjecture,
( ~ greater(vd517,vd518)
| ~ greater(vd519,vd520) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_60,plain,
( vd520 = vd519
| greater(vd519,vd520) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_62,plain,
( X1 != X2
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_63,plain,
( less(X1,X2)
| ~ less(X1,v1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_66,negated_conjecture,
( vd520 = vd519
| ~ greater(vd517,vd518) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
( vd518 = vd517
| greater(vd517,vd518) ),
inference(spm,[status(thm)],[c_0_53,c_0_61]) ).
fof(c_0_68,plain,
! [X267,X268,X269] :
( ~ greater(vmul(X267,X268),vmul(X269,X268))
| greater(X267,X269) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(conjunct1(307), 0), 0)'])]) ).
fof(c_0_69,plain,
! [X289] : vmul(v1,X289) = X289,
inference(variable_rename,[status(thm)],['ass(cond(253, 0), 0)']) ).
cnf(c_0_70,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_71,plain,
( less(X1,X2)
| ~ greater(v1,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
fof(c_0_72,plain,
! [X346,X347] :
( ~ less(X346,X347)
| greater(X347,X346) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
cnf(c_0_73,plain,
( less(v1,X1)
| ~ less(X2,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_74,negated_conjecture,
( vd518 = vd517
| vd520 = vd519 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_75,plain,
! [X276,X277,X278] :
( ~ greater(X277,X278)
| greater(vmul(X277,X276),vmul(X278,X276)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)'])]) ).
cnf(c_0_76,plain,
( greater(X1,X3)
| ~ greater(vmul(X1,X2),vmul(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
vmul(v1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_78,plain,
! [X285,X286] : vmul(X285,X286) = vmul(X286,X285),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(c_0_79,plain,
! [X350,X351] :
( X350 = X351
| greater(X350,X351)
| less(X350,X351) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
cnf(c_0_80,plain,
~ greater(v1,X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,plain,
( greater(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
less(v1,vplus(X1,X2)),
inference(spm,[status(thm)],[c_0_73,c_0_41]) ).
fof(c_0_83,plain,
! [X364,X365,X367,X368,X369] :
( ( ~ greater(X365,X364)
| X365 = vplus(X364,esk2_2(X364,X365)) )
& ( X368 != vplus(X367,X369)
| greater(X368,X367) ) ),
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(c_0_84,plain,
! [X80,X81] :
( X80 != X81
| ~ greater(X80,X81) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)']) ).
fof(c_0_85,plain,
! [X405] : vsucc(X405) != v1,
inference(variable_rename,[status(thm)],['qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))']) ).
fof(c_0_86,plain,
! [X397,X398] :
( vplus(X397,vsucc(X398)) = vsucc(vplus(X397,X398))
& vplus(X397,v1) = vsucc(X397) ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))']) ).
cnf(c_0_87,negated_conjecture,
( vd518 = vd517
| ~ greater(vmul(vd517,vd519),vmul(vd518,vd519)) ),
inference(spm,[status(thm)],[c_0_51,c_0_74]) ).
cnf(c_0_88,plain,
( greater(vmul(X1,X3),vmul(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_89,plain,
( greater(X1,v1)
| ~ greater(vmul(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_90,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,plain,
~ greater(X1,vmul(X2,X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_80]) ).
cnf(c_0_93,plain,
greater(vplus(X1,X2),v1),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_94,plain,
( X1 = vplus(X2,esk2_2(X2,X1))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_95,plain,
! [X356,X357] :
( X356 != X357
| ~ greater(X356,X357) ),
inference(variable_rename,[status(thm)],[c_0_84]) ).
cnf(c_0_96,plain,
vsucc(X1) != v1,
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_97,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_98,plain,
! [X394,X395,X396] : vplus(vplus(X394,X395),X396) = vplus(X394,vplus(X395,X396)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(c_0_99,negated_conjecture,
vd518 = vd517,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_67]) ).
cnf(c_0_100,plain,
( greater(X1,v1)
| ~ greater(vmul(X2,X1),X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_101,plain,
( X1 = X2
| greater(X1,X2)
| greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_91]) ).
cnf(c_0_102,plain,
~ greater(X1,vmul(X1,X2)),
inference(spm,[status(thm)],[c_0_92,c_0_90]) ).
cnf(c_0_103,plain,
( greater(X1,v1)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_105,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
fof(c_0_106,plain,
! [X290,X291] :
( vmul(X290,vsucc(X291)) = vplus(vmul(X290,X291),X290)
& vmul(X290,v1) = X290 ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).
cnf(c_0_107,plain,
vplus(X1,v1) != v1,
inference(rw,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_108,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_109,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd517,vd520)),
inference(rw,[status(thm)],[c_0_51,c_0_99]) ).
cnf(c_0_110,plain,
( vmul(X1,X2) = X1
| greater(X2,v1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_111,plain,
( greater(vmul(X1,X2),X2)
| ~ greater(X1,v1) ),
inference(spm,[status(thm)],[c_0_88,c_0_77]) ).
cnf(c_0_112,plain,
( greater(vd517,vd518)
| greater(vd519,v1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_105]) ).
fof(c_0_114,plain,
! [X374,X375,X376] :
( X374 != X375
| X375 != vplus(X374,X376) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(88), 0), 1)'])])]) ).
cnf(c_0_115,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_116,plain,
vplus(X1,vplus(X2,v1)) != v1,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( greater(vd520,v1)
| ~ greater(vmul(vd517,vd519),vd517) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,plain,
( greater(vmul(X1,X2),X1)
| ~ greater(X2,v1) ),
inference(spm,[status(thm)],[c_0_111,c_0_90]) ).
cnf(c_0_119,plain,
greater(vd519,v1),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_99]),c_0_113]) ).
cnf(c_0_120,plain,
( X1 != X2
| X2 != vplus(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[c_0_115,c_0_97]) ).
fof(c_0_122,plain,
! [X340,X341] :
( ~ geq(X340,X341)
| leq(X341,X340) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(158, 0), 0)'])]) ).
cnf(c_0_123,plain,
( greater(X1,v1)
| greater(X2,X1)
| ~ greater(X2,v1) ),
inference(spm,[status(thm)],[c_0_111,c_0_110]) ).
cnf(c_0_124,plain,
vplus(X1,vplus(v1,X2)) != v1,
inference(spm,[status(thm)],[c_0_116,c_0_42]) ).
cnf(c_0_125,negated_conjecture,
greater(vd520,v1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_126,plain,
vplus(X1,X2) != X1,
inference(er,[status(thm)],[c_0_120]) ).
cnf(c_0_127,plain,
vmul(X1,vplus(X2,v1)) = vplus(X1,vmul(X1,X2)),
inference(rw,[status(thm)],[c_0_121,c_0_42]) ).
cnf(c_0_128,plain,
( leq(X2,X1)
| ~ geq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,plain,
( less(v1,X1)
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_64]) ).
fof(c_0_130,plain,
! [X338,X339] :
( ~ leq(X338,X339)
| geq(X339,X338) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(163, 0), 0)'])]) ).
cnf(c_0_131,plain,
( leq(X1,X2)
| ~ greater(vplus(X2,v1),X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_64]) ).
cnf(c_0_132,plain,
( X1 = v1
| greater(X2,v1)
| greater(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_101]),c_0_80]) ).
cnf(c_0_133,plain,
( vplus(X1,X2) != v1
| ~ greater(X2,v1) ),
inference(spm,[status(thm)],[c_0_124,c_0_94]) ).
cnf(c_0_134,negated_conjecture,
( greater(vd520,X1)
| greater(X1,v1) ),
inference(spm,[status(thm)],[c_0_123,c_0_125]) ).
cnf(c_0_135,plain,
vmul(X1,vplus(X2,v1)) != X1,
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,plain,
( less(X1,X2)
| ~ less(X3,X2)
| ~ geq(X3,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_128]) ).
cnf(c_0_137,negated_conjecture,
less(v1,vd520),
inference(spm,[status(thm)],[c_0_129,c_0_125]) ).
cnf(c_0_138,plain,
( geq(X2,X1)
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_139,plain,
( leq(X1,X2)
| greater(X1,v1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_107]) ).
cnf(c_0_140,plain,
( less(v1,vd519)
| greater(vd517,vd518) ),
inference(spm,[status(thm)],[c_0_129,c_0_112]) ).
fof(c_0_141,plain,
! [X399] :
( X399 = v1
| X399 = vsucc(vskolem2(X399)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(20, 0), 0)'])]) ).
fof(c_0_142,plain,
! [X384,X385,X386] :
( X384 = X385
| vplus(X386,X384) != vplus(X386,X385) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(81, 0), 0)'])])]) ).
fof(c_0_143,plain,
! [X327,X328] : greater(vplus(X327,X328),X327),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
cnf(c_0_144,negated_conjecture,
vplus(X1,vd520) != v1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_80]) ).
fof(c_0_145,plain,
! [X370,X371] :
( X370 = X371
| X370 = vplus(X371,esk3_2(X370,X371))
| X371 = vplus(X370,esk4_2(X370,X371)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['ass(cond(goal(88), 0), 0)'])]) ).
cnf(c_0_146,plain,
vmul(X1,vplus(v1,X2)) != X1,
inference(spm,[status(thm)],[c_0_135,c_0_42]) ).
cnf(c_0_147,plain,
( X2 = vplus(X1,esk1_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_148,negated_conjecture,
( less(X1,vd520)
| ~ geq(v1,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_149,plain,
( geq(X1,X2)
| greater(X2,v1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_150,plain,
( greater(vd519,X1)
| greater(X1,v1) ),
inference(spm,[status(thm)],[c_0_123,c_0_119]) ).
cnf(c_0_151,plain,
less(v1,vd519),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_99]),c_0_113]) ).
cnf(c_0_152,plain,
( X1 = v1
| X1 = vsucc(vskolem2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_153,plain,
( X1 = X2
| vplus(X3,X1) != vplus(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_154,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_155,negated_conjecture,
vplus(vd520,X1) != v1,
inference(spm,[status(thm)],[c_0_144,c_0_42]) ).
cnf(c_0_156,plain,
( X1 = X2
| X1 = vplus(X2,esk3_2(X1,X2))
| X2 = vplus(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_157,plain,
( vmul(X1,X2) != X1
| ~ less(v1,X2) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_158,negated_conjecture,
( less(X1,vd520)
| greater(X1,v1) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_159,plain,
vplus(X1,vd519) != v1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_150]),c_0_80]) ).
cnf(c_0_160,plain,
( less(X1,vd519)
| ~ geq(v1,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_151]) ).
cnf(c_0_161,plain,
( X1 = v1
| X1 = vplus(vskolem2(X1),v1) ),
inference(rw,[status(thm)],[c_0_152,c_0_97]) ).
cnf(c_0_162,plain,
esk2_2(X1,vplus(X1,X2)) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_94])]),c_0_154])]) ).
cnf(c_0_163,negated_conjecture,
( vplus(v1,esk3_2(vd520,v1)) = vd520
| vd520 = v1 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156])]) ).
cnf(c_0_164,negated_conjecture,
vmul(X1,vd520) != X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_80]) ).
cnf(c_0_165,plain,
vplus(vd519,X1) != v1,
inference(spm,[status(thm)],[c_0_159,c_0_42]) ).
cnf(c_0_166,plain,
( less(X1,vd519)
| greater(X1,v1) ),
inference(spm,[status(thm)],[c_0_160,c_0_149]) ).
cnf(c_0_167,plain,
( vplus(v1,vskolem2(X1)) = X1
| X1 = v1 ),
inference(rw,[status(thm)],[c_0_161,c_0_42]) ).
cnf(c_0_168,negated_conjecture,
( esk2_2(v1,vd520) = esk3_2(vd520,v1)
| vd520 = v1 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_169,negated_conjecture,
vd520 != v1,
inference(spm,[status(thm)],[c_0_164,c_0_77]) ).
cnf(c_0_170,plain,
( vplus(v1,esk3_2(vd519,v1)) = vd519
| vd519 = v1 ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_156])]) ).
cnf(c_0_171,plain,
vmul(X1,vd519) != X1,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_166]),c_0_80]) ).
cnf(c_0_172,plain,
( esk2_2(v1,X1) = vskolem2(X1)
| X1 = v1 ),
inference(spm,[status(thm)],[c_0_162,c_0_167]) ).
cnf(c_0_173,negated_conjecture,
esk2_2(v1,vd520) = esk3_2(vd520,v1),
inference(sr,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_174,plain,
( esk2_2(v1,vd519) = esk3_2(vd519,v1)
| vd519 = v1 ),
inference(spm,[status(thm)],[c_0_162,c_0_170]) ).
cnf(c_0_175,plain,
vd519 != v1,
inference(spm,[status(thm)],[c_0_171,c_0_77]) ).
fof(c_0_176,plain,
! [X315,X316,X317] :
( ~ greater(vplus(X315,X317),vplus(X316,X317))
| greater(X315,X316) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(202), 0), 2)'])]) ).
cnf(c_0_177,negated_conjecture,
esk3_2(vd520,v1) = vskolem2(vd520),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_169]) ).
cnf(c_0_178,plain,
esk2_2(v1,vd519) = esk3_2(vd519,v1),
inference(sr,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_179,plain,
( leq(X1,X2)
| ~ less(X1,vplus(v1,X2)) ),
inference(spm,[status(thm)],[c_0_49,c_0_42]) ).
cnf(c_0_180,plain,
less(X1,vplus(X2,vplus(X3,X1))),
inference(spm,[status(thm)],[c_0_50,c_0_108]) ).
cnf(c_0_181,plain,
( greater(X1,X3)
| ~ greater(vplus(X1,X2),vplus(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_182,negated_conjecture,
esk2_2(v1,vd520) = vskolem2(vd520),
inference(rw,[status(thm)],[c_0_173,c_0_177]) ).
fof(c_0_183,plain,
! [X324,X325,X326] :
( ~ greater(X324,X325)
| greater(vplus(X324,X326),vplus(X325,X326)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])]) ).
cnf(c_0_184,plain,
( less(esk2_2(X1,X2),X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_94]) ).
cnf(c_0_185,plain,
esk3_2(vd519,v1) = vskolem2(vd519),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_178]),c_0_175]) ).
cnf(c_0_186,plain,
leq(X1,vplus(X2,X1)),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_187,plain,
( greater(X1,X2)
| ~ greater(vplus(X1,X3),vplus(X3,X2)) ),
inference(spm,[status(thm)],[c_0_181,c_0_42]) ).
cnf(c_0_188,negated_conjecture,
vplus(v1,vskolem2(vd520)) = vd520,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_182]),c_0_125])]) ).
cnf(c_0_189,plain,
( greater(vplus(X1,X3),vplus(X2,X3))
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_190,plain,
( less(X1,X2)
| ~ less(X1,X3)
| ~ geq(X2,X3) ),
inference(spm,[status(thm)],[c_0_56,c_0_128]) ).
cnf(c_0_191,negated_conjecture,
less(vskolem2(vd520),vd520),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_182]),c_0_125])]) ).
cnf(c_0_192,plain,
esk2_2(v1,vd519) = vskolem2(vd519),
inference(rw,[status(thm)],[c_0_178,c_0_185]) ).
fof(c_0_193,plain,
! [X80,X81] :
( ~ greater(X80,X81)
| ~ less(X80,X81) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
fof(c_0_194,plain,
! [X301,X302,X303,X304] :
( ( ~ greater(X303,X304)
| ~ geq(X301,X302)
| greater(vplus(X301,X303),vplus(X302,X304)) )
& ( ~ geq(X303,X304)
| ~ greater(X301,X302)
| greater(vplus(X301,X303),vplus(X302,X304)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(216), 0), 0)'])])]) ).
fof(c_0_195,plain,
! [X329,X330,X331] :
( ~ leq(X330,X331)
| ~ leq(X329,X330)
| leq(X329,X331) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(184, 0), 0)'])]) ).
cnf(c_0_196,plain,
( leq(esk2_2(X1,X2),X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_94]) ).
cnf(c_0_197,negated_conjecture,
~ greater(vd520,vplus(vskolem2(vd520),X1)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_80]) ).
cnf(c_0_198,plain,
( greater(X1,vplus(X2,esk1_2(X1,X3)))
| ~ less(X3,X1)
| ~ greater(X3,X2) ),
inference(spm,[status(thm)],[c_0_189,c_0_147]) ).
cnf(c_0_199,negated_conjecture,
( less(vskolem2(vd520),X1)
| ~ geq(X1,vd520) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_200,plain,
( leq(X1,X2)
| ~ greater(vplus(v1,X2),X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_64]) ).
cnf(c_0_201,plain,
vplus(v1,vskolem2(vd519)) = vd519,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_192]),c_0_119])]) ).
fof(c_0_202,plain,
! [X354,X355] :
( ~ greater(X354,X355)
| ~ less(X354,X355) ),
inference(variable_rename,[status(thm)],[c_0_193]) ).
cnf(c_0_203,plain,
( greater(vplus(X3,X1),vplus(X4,X2))
| ~ geq(X1,X2)
| ~ greater(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_204,plain,
( leq(X3,X2)
| ~ leq(X1,X2)
| ~ leq(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_205,plain,
leq(vskolem2(vd519),vd519),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_192]),c_0_119])]) ).
cnf(c_0_206,negated_conjecture,
( ~ less(X1,vd520)
| ~ greater(X1,vskolem2(vd520)) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_207,negated_conjecture,
( greater(X1,vskolem2(vd520))
| ~ geq(X1,vd520) ),
inference(spm,[status(thm)],[c_0_81,c_0_199]) ).
cnf(c_0_208,plain,
( leq(X1,vskolem2(vd519))
| ~ greater(vd519,X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_209,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_210,plain,
( greater(vplus(X1,X2),vplus(X3,X4))
| ~ geq(X2,X3)
| ~ greater(X1,X4) ),
inference(spm,[status(thm)],[c_0_203,c_0_42]) ).
cnf(c_0_211,plain,
( leq(vskolem2(vd519),X1)
| ~ leq(vd519,X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_212,negated_conjecture,
( ~ less(X1,vd520)
| ~ geq(X1,vd520) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_213,plain,
( geq(vskolem2(vd519),X1)
| ~ greater(vd519,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_208]) ).
cnf(c_0_214,plain,
greater(vd519,vd520),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_99]),c_0_113]) ).
fof(c_0_215,plain,
! [X282,X283,X284] : vmul(X282,vplus(X283,X284)) = vplus(vmul(X282,X283),vmul(X282,X284)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
cnf(c_0_216,plain,
~ greater(X1,vplus(X1,X2)),
inference(spm,[status(thm)],[c_0_209,c_0_41]) ).
fof(c_0_217,plain,
! [X387,X388] : X388 != vplus(X387,X388),
inference(variable_rename,[status(thm)],['ass(cond(73, 0), 0)']) ).
cnf(c_0_218,plain,
( ~ geq(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_210]) ).
cnf(c_0_219,plain,
( geq(X1,vskolem2(vd519))
| ~ leq(vd519,X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_211]) ).
cnf(c_0_220,negated_conjecture,
~ less(vskolem2(vd519),vd520),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214])]) ).
cnf(c_0_221,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_215]) ).
cnf(c_0_222,plain,
( vplus(X1,esk3_2(X2,X1)) = X2
| X2 = X1
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_156]) ).
cnf(c_0_223,plain,
X1 != vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_217]) ).
cnf(c_0_224,plain,
( ~ leq(vd519,X1)
| ~ greater(vskolem2(vd519),X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_225,negated_conjecture,
( vskolem2(vd519) = vd520
| greater(vskolem2(vd519),vd520) ),
inference(spm,[status(thm)],[c_0_220,c_0_91]) ).
cnf(c_0_226,plain,
greater(vmul(X1,vplus(X2,X3)),vmul(X1,X2)),
inference(spm,[status(thm)],[c_0_154,c_0_221]) ).
cnf(c_0_227,plain,
( vplus(vd520,esk3_2(vd519,vd520)) = vd519
| vd520 = vd519 ),
inference(spm,[status(thm)],[c_0_222,c_0_214]) ).
fof(c_0_228,plain,
! [X342,X343] :
( ( ~ leq(X343,X342)
| less(X343,X342)
| X343 = X342 )
& ( ~ less(X343,X342)
| leq(X343,X342) )
& ( X343 != X342
| leq(X343,X342) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 17), 1)'])])]) ).
cnf(c_0_229,plain,
( X1 = v1
| vskolem2(X1) != X1 ),
inference(spm,[status(thm)],[c_0_223,c_0_167]) ).
cnf(c_0_230,negated_conjecture,
( vskolem2(vd519) = vd520
| ~ leq(vd519,vd520) ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_231,plain,
( vd520 = vd519
| greater(vmul(X1,vd519),vmul(X1,vd520)) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_232,plain,
( leq(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_233,negated_conjecture,
( vd520 != vd519
| ~ leq(vd519,vd520) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_175]) ).
cnf(c_0_234,negated_conjecture,
vd520 = vd519,
inference(spm,[status(thm)],[c_0_109,c_0_231]) ).
cnf(c_0_235,plain,
leq(X1,X1),
inference(er,[status(thm)],[c_0_232]) ).
cnf(c_0_236,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234]),c_0_234]),c_0_235])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM856+2 : 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
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 5 01:15:41 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 27.36/16.70 % Version : CSE_E---1.7
% 27.36/16.70 % Problem : theBenchmark.p
% 27.36/16.70 % SZS status Theorem for theBenchmark.p
% 27.36/16.70 % SZS output start CNFRefutation
% See solution above
% 27.46/16.82 % Total time : 12.402s
%------------------------------------------------------------------------------