TSTP Solution File: NUM856+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM856+2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 : Mon Jun 24 12:55:55 EDT 2024
% Result : Theorem 39.40s 6.28s
% Output : CNFRefutation 39.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
( ( greater(vd517,vd518)
& geq(vd519,vd520) )
| ( geq(vd517,vd518)
& greater(vd519,vd520) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(antec(scope(318)))') ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vmul(X0,X2),vmul(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(312, 0), 0)') ).
fof(f171,plain,
( geq(vd519,vd520)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(flattening,[],[f2]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(flattening,[],[f118]) ).
fof(f5,axiom,
! [X4,X5,X6] :
( less(vmul(X4,X5),vmul(X6,X5))
=> less(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)') ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X0,X1)
| ~ greater(X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f62,plain,
! [X0,X1,X2] :
( less(vmul(X0,X1),vmul(X2,X1))
=> less(X0,X2) ),
inference(rectify,[],[f5]) ).
fof(f120,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(vmul(X0,X1),vmul(X2,X1)) ),
inference(ennf_transformation,[],[f62]) ).
fof(f6,axiom,
! [X7,X8,X9] :
( vmul(X7,X8) = vmul(X9,X8)
=> X7 = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(307)), 0), 0)') ).
fof(f176,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(vmul(X0,X1),vmul(X2,X1)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f63,plain,
! [X0,X1,X2] :
( vmul(X0,X1) = vmul(X2,X1)
=> X0 = X2 ),
inference(rectify,[],[f6]) ).
fof(f121,plain,
! [X0,X1,X2] :
( X0 = X2
| vmul(X0,X1) != vmul(X2,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f7,axiom,
! [X10,X11,X12] :
( greater(vmul(X10,X11),vmul(X12,X11))
=> greater(X10,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)') ).
fof(f177,plain,
! [X2,X0,X1] :
( X0 = X2
| vmul(X0,X1) != vmul(X2,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f64,plain,
! [X0,X1,X2] :
( greater(vmul(X0,X1),vmul(X2,X1))
=> greater(X0,X2) ),
inference(rectify,[],[f7]) ).
fof(f122,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(vmul(X0,X1),vmul(X2,X1)) ),
inference(ennf_transformation,[],[f64]) ).
fof(f8,axiom,
! [X13,X14,X15] :
( less(X14,X15)
=> less(vmul(X14,X13),vmul(X15,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
fof(f178,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(vmul(X0,X1),vmul(X2,X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f65,plain,
! [X0,X1,X2] :
( less(X1,X2)
=> less(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f8]) ).
fof(f123,plain,
! [X0,X1,X2] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f9,axiom,
! [X13,X16,X17] :
( X16 = X17
=> vmul(X16,X13) = vmul(X17,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 1)') ).
fof(f179,plain,
! [X2,X0,X1] :
( less(vmul(X1,X0),vmul(X2,X0))
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f66,plain,
! [X0,X1,X2] :
( X1 = X2
=> vmul(X1,X0) = vmul(X2,X0) ),
inference(rectify,[],[f9]) ).
fof(f124,plain,
! [X0,X1,X2] :
( vmul(X1,X0) = vmul(X2,X0)
| X1 != X2 ),
inference(ennf_transformation,[],[f66]) ).
fof(f170,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f61]) ).
fof(f173,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f174,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(cnf_transformation,[],[f3]) ).
fof(f180,plain,
! [X2,X0,X1] :
( vmul(X1,X0) = vmul(X2,X0)
| X1 != X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f10,axiom,
! [X13,X18,X19] :
( greater(X18,X19)
=> greater(vmul(X18,X13),vmul(X19,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f252,plain,
! [X2,X0] : vmul(X2,X0) = vmul(X2,X0),
inference(equality_resolution,[],[f180]) ).
fof(f67,plain,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f10]) ).
fof(f125,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f11,axiom,
! [X20,X21,X22] : vmul(vmul(X20,X21),X22) = vmul(X20,vmul(X21,X22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
fof(f181,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f68,plain,
! [X0,X1,X2] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(rectify,[],[f11]) ).
fof(f12,axiom,
! [X23,X24,X25] : vmul(X23,vplus(X24,X25)) = vplus(vmul(X23,X24),vmul(X23,X25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f182,plain,
! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f68]) ).
fof(f69,plain,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(rectify,[],[f12]) ).
fof(f13,axiom,
! [X26,X27] : vmul(X26,X27) = vmul(X27,X26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f183,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f69]) ).
fof(f70,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f13]) ).
fof(f14,axiom,
! [X28,X29] : vmul(vsucc(X28),X29) = vplus(vmul(X28,X29),X29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof(f184,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f70]) ).
fof(f71,plain,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
inference(rectify,[],[f14]) ).
fof(f185,plain,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
inference(cnf_transformation,[],[f71]) ).
cnf(c_49,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f170]) ).
cnf(c_50,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_51,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_53,plain,
( greater(vd519,vd520)
| geq(vd519,vd520) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_54,plain,
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vmul(X0,X2),vmul(X1,X3)) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_58,plain,
( ~ less(X0,X1)
| less(vmul(X0,X2),vmul(X1,X2)) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_59,plain,
( ~ greater(X0,X1)
| greater(vmul(X0,X2),vmul(X1,X2)) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_61,plain,
vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f183]) ).
cnf(c_62,plain,
vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f184]) ).
cnf(c_68,plain,
( ~ greater(X0,X1)
| geq(X0,vplus(X1,v1)) ),
inference(cnf_transformation,[],[f190]) ).
cnf(c_81,plain,
( ~ less(X0,X1)
| ~ leq(X1,X2)
| less(X0,X2) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_90,plain,
( ~ greater(X0,X1)
| geq(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_91,plain,
( ~ geq(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_92,plain,
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_98,plain,
less(X0,vplus(X0,X1)),
inference(cnf_transformation,[],[f258]) ).
cnf(c_108,plain,
vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f231]) ).
cnf(c_193,plain,
geq(vd517,vd518),
inference(forward_subsumption_resolution,[status(thm)],[c_50,c_90]) ).
cnf(c_203,plain,
geq(vd519,vd520),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_90]) ).
cnf(c_953,plain,
vmul(vd517,vd519) = sP0_iProver_def,
definition ).
cnf(c_954,plain,
vmul(vd518,vd520) = sP1_iProver_def,
definition ).
cnf(c_955,negated_conjecture,
~ greater(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_954,c_953]) ).
cnf(c_2038,plain,
( ~ less(vd518,X0)
| less(sP1_iProver_def,vmul(X0,vd520)) ),
inference(superposition,[status(thm)],[c_954,c_58]) ).
cnf(c_2115,plain,
( ~ greater(X0,X1)
| greater(vmul(X0,X2),vmul(X2,X1)) ),
inference(superposition,[status(thm)],[c_62,c_59]) ).
cnf(c_2891,plain,
( vd517 = vd518
| greater(vd517,vd518) ),
inference(superposition,[status(thm)],[c_193,c_91]) ).
cnf(c_2892,plain,
( vd519 = vd520
| greater(vd519,vd520) ),
inference(superposition,[status(thm)],[c_203,c_91]) ).
cnf(c_3390,plain,
vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X2,X1)),
inference(superposition,[status(thm)],[c_61,c_108]) ).
cnf(c_4941,plain,
( ~ greater(vd517,X0)
| ~ greater(vd519,X1)
| greater(sP0_iProver_def,vmul(X0,X1)) ),
inference(superposition,[status(thm)],[c_953,c_54]) ).
cnf(c_10327,plain,
( ~ less(vd518,X0)
| greater(vmul(X0,vd520),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_2038,c_92]) ).
cnf(c_12127,plain,
( ~ greater(X0,vd520)
| greater(vmul(X0,vd518),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_954,c_2115]) ).
cnf(c_24051,plain,
less(vmul(X0,X1),vmul(X0,vplus(X2,X1))),
inference(superposition,[status(thm)],[c_3390,c_98]) ).
cnf(c_24849,plain,
( ~ greater(vd517,X0)
| greater(sP0_iProver_def,vmul(X0,vd519)) ),
inference(superposition,[status(thm)],[c_953,c_59]) ).
cnf(c_25476,plain,
( vd517 = vd518
| greater(vd517,vd518) ),
inference(superposition,[status(thm)],[c_193,c_91]) ).
cnf(c_87629,plain,
( ~ greater(vd517,vd518)
| ~ greater(vd519,vd520)
| greater(sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_954,c_4941]) ).
cnf(c_87671,plain,
( ~ greater(vd517,vd518)
| ~ greater(vd519,vd520) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87629,c_955]) ).
cnf(c_87883,plain,
( ~ greater(vd517,vd518)
| vd519 = vd520 ),
inference(superposition,[status(thm)],[c_2892,c_87671]) ).
cnf(c_88417,plain,
( vd517 = vd518
| vd519 = vd520 ),
inference(superposition,[status(thm)],[c_2891,c_87883]) ).
cnf(c_88495,plain,
( ~ less(vd518,X0)
| vd517 = vd518
| greater(vmul(X0,vd519),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_88417,c_10327]) ).
cnf(c_98944,plain,
( ~ less(vd518,vd517)
| vd517 = vd518
| greater(sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_953,c_88495]) ).
cnf(c_98969,plain,
( ~ less(vd518,vd517)
| vd517 = vd518 ),
inference(forward_subsumption_resolution,[status(thm)],[c_98944,c_955]) ).
fof(f31,axiom,
! [X61,X62,X63] :
( ( ( less(X61,X62)
& leq(X62,X63) )
| ( leq(X61,X62)
& less(X62,X63) ) )
=> less(X61,X63) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof(f205,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f35,axiom,
! [X71,X72] :
( leq(X72,X71)
<=> ( X71 = X72
| less(X72,X71) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f210,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f36,axiom,
! [X73,X74] :
( geq(X74,X73)
<=> ( X73 = X74
| greater(X74,X73) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f213,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f53,axiom,
! [X100] : vplus(v1,X100) = vsucc(X100),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f241,plain,
! [X0] : v1 != vsucc(X0),
inference(cnf_transformation,[],[f117]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( ( less(X0,X1)
& leq(X1,X2) )
| ( leq(X0,X1)
& less(X1,X2) ) )
=> less(X0,X2) ),
inference(rectify,[],[f31]) ).
fof(f92,plain,
! [X0,X1] :
( leq(X1,X0)
<=> ( X0 = X1
| less(X1,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f93,plain,
! [X0,X1] :
( geq(X1,X0)
<=> ( X0 = X1
| greater(X1,X0) ) ),
inference(rectify,[],[f36]) ).
fof(f110,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f53]) ).
fof(f112,plain,
! [X0,X1] :
( vsucc(X0) = vplus(X0,v1)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f55]) ).
fof(f113,plain,
! [X0] :
( v1 != X0
=> vsucc(vskolem2(X0)) = X0 ),
inference(rectify,[],[f56]) ).
fof(f114,plain,
! [X0] : vsucc(X0) != X0,
inference(rectify,[],[f57]) ).
fof(f115,plain,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
inference(rectify,[],[f58]) ).
fof(f116,plain,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
inference(rectify,[],[f59]) ).
fof(f117,plain,
! [X0] : v1 != vsucc(X0),
inference(rectify,[],[f60]) ).
fof(f141,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ( ( ~ less(X0,X1)
| ~ leq(X1,X2) )
& ( ~ leq(X0,X1)
| ~ less(X1,X2) ) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f32,axiom,
! [X64,X65,X66] :
( ( less(X64,X65)
& less(X65,X66) )
=> less(X64,X66) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f204,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ leq(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f32]) ).
fof(f142,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f143,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f142]) ).
fof(f33,axiom,
! [X67,X68] :
( leq(X67,X68)
=> geq(X68,X67) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof(f206,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f90,plain,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
inference(rectify,[],[f33]) ).
fof(f144,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f34,axiom,
! [X69,X70] :
( geq(X69,X70)
=> leq(X70,X69) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f207,plain,
! [X0,X1] :
( geq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f91,plain,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f145,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f152,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(ennf_transformation,[],[f113]) ).
fof(f153,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f115]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f155,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f156,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ( X0 != X1
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f158,plain,
! [X0,X1] :
( ( geq(X1,X0)
| ( X0 != X1
& ~ greater(X1,X0) ) )
& ( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ) ),
inference(flattening,[],[f157]) ).
fof(f37,axiom,
! [X75,X76] :
( less(X75,X76)
=> greater(X76,X75) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| greater(X1,X0)
| ~ geq(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f94,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f146,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f94]) ).
fof(f38,axiom,
! [X77,X78] :
( greater(X77,X78)
=> less(X78,X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f215,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f95,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f147,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f39,axiom,
! [X79,X80] :
( less(X79,X80)
| greater(X79,X80)
| X79 = X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f216,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f96,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f39]) ).
fof(f40,axiom,
! [X79,X80] :
( ~ less(X79,X80)
| X79 != X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f217,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f97,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f40]) ).
fof(f208,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f209,plain,
! [X0,X1] :
( X0 = X1
| less(X1,X0)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f218,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f97]) ).
fof(f41,axiom,
! [X79,X80] :
( ~ less(X79,X80)
| ~ greater(X79,X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f256,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f218]) ).
fof(f98,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f42,axiom,
! [X79,X80] :
( ~ greater(X79,X80)
| X79 != X80 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f219,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f99,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f42]) ).
fof(f220,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f233,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f110]) ).
fof(f15,axiom,
! [X30] : vmul(v1,X30) = X30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof(f242,plain,
! [X0,X1] : vplus(vmul(X0,X1),X1) = vmul(vplus(v1,X0),X1),
inference(definition_unfolding,[],[f185,f233]) ).
fof(f72,plain,
! [X0] : vmul(v1,X0) = X0,
inference(rectify,[],[f15]) ).
fof(f186,plain,
! [X0] : vmul(v1,X0) = X0,
inference(cnf_transformation,[],[f72]) ).
fof(f235,plain,
! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
inference(cnf_transformation,[],[f112]) ).
fof(f56,axiom,
! [X106] :
( v1 != X106
=> vsucc(vskolem2(X106)) = X106 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).
fof(f246,plain,
! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f235,f233,f233]) ).
fof(f236,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f112]) ).
fof(f55,axiom,
! [X104,X105] :
( vplus(X104,v1) = vsucc(X104)
& vplus(X104,vsucc(X105)) = vsucc(vplus(X104,X105)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f245,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f236,f233]) ).
fof(f237,plain,
! [X0] :
( vsucc(vskolem2(X0)) = X0
| v1 = X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f57,axiom,
! [X107] : vsucc(X107) != X107,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f247,plain,
! [X0] :
( vplus(v1,vskolem2(X0)) = X0
| v1 = X0 ),
inference(definition_unfolding,[],[f237,f233]) ).
fof(f238,plain,
! [X0] : vsucc(X0) != X0,
inference(cnf_transformation,[],[f114]) ).
fof(f58,axiom,
! [X108,X109] :
( X108 != X109
=> vsucc(X108) != vsucc(X109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f248,plain,
! [X0] : vplus(v1,X0) != X0,
inference(definition_unfolding,[],[f238,f233]) ).
fof(f239,plain,
! [X0,X1] :
( vsucc(X0) != vsucc(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f59,axiom,
! [X110,X111] :
( vsucc(X110) = vsucc(X111)
=> X110 = X111 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f249,plain,
! [X0,X1] :
( vplus(v1,X0) != vplus(v1,X1)
| X0 = X1 ),
inference(definition_unfolding,[],[f239,f233,f233]) ).
fof(f240,plain,
! [X0,X1] :
( X0 = X1
| vsucc(X0) != vsucc(X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f60,axiom,
! [X112] : v1 != vsucc(X112),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f250,plain,
! [X0,X1] :
( X0 = X1
| vplus(v1,X0) != vplus(v1,X1) ),
inference(definition_unfolding,[],[f240,f233,f233]) ).
fof(f257,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f220]) ).
cnf(c_64,plain,
vmul(v1,X0) = X0,
inference(cnf_transformation,[],[f186]) ).
cnf(c_85,plain,
( ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_88,plain,
( ~ leq(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_97,plain,
~ greater(X0,X0),
inference(cnf_transformation,[],[f257]) ).
cnf(c_1534,plain,
leq(vd518,vd517),
inference(superposition,[status(thm)],[c_193,c_85]) ).
cnf(c_2821,plain,
( vd517 = vd518
| less(vd518,vd517) ),
inference(superposition,[status(thm)],[c_1534,c_88]) ).
cnf(c_24060,plain,
less(vmul(v1,X0),vplus(X1,X0)),
inference(superposition,[status(thm)],[c_64,c_24051]) ).
cnf(c_24062,plain,
less(X0,vplus(X1,X0)),
inference(light_normalisation,[status(thm)],[c_24060,c_64]) ).
cnf(c_24527,plain,
( ~ greater(X0,X1)
| leq(vplus(X1,v1),X0) ),
inference(superposition,[status(thm)],[c_68,c_85]) ).
cnf(c_25157,plain,
( ~ leq(vplus(X0,X1),X2)
| less(X1,X2) ),
inference(superposition,[status(thm)],[c_24062,c_81]) ).
cnf(c_57000,plain,
( ~ greater(vd517,v1)
| greater(sP0_iProver_def,vd519) ),
inference(superposition,[status(thm)],[c_64,c_24849]) ).
cnf(c_74113,plain,
( ~ greater(X0,X1)
| less(v1,X0) ),
inference(superposition,[status(thm)],[c_24527,c_25157]) ).
cnf(c_77113,plain,
( vd517 = vd518
| less(v1,vd517) ),
inference(superposition,[status(thm)],[c_25476,c_74113]) ).
cnf(c_85667,plain,
( vd517 = vd518
| greater(vd517,v1) ),
inference(superposition,[status(thm)],[c_77113,c_92]) ).
cnf(c_89144,plain,
( vd517 = vd518
| greater(sP0_iProver_def,vd519) ),
inference(superposition,[status(thm)],[c_85667,c_57000]) ).
cnf(c_92779,plain,
( vd517 = vd518
| geq(sP0_iProver_def,vd519) ),
inference(superposition,[status(thm)],[c_89144,c_90]) ).
cnf(c_99009,plain,
vd517 = vd518,
inference(global_subsumption_just,[status(thm)],[c_92779,c_2821,c_98969]) ).
cnf(c_99834,plain,
vd517 = vd518,
inference(global_subsumption_just,[status(thm)],[c_98969,c_99009]) ).
cnf(c_99996,plain,
( ~ greater(X0,vd520)
| greater(vmul(X0,vd517),sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_12127,c_99834]) ).
cnf(c_100146,plain,
( greater(vd517,vd517)
| greater(vd519,vd520) ),
inference(demodulation,[status(thm)],[c_51,c_99834]) ).
cnf(c_100148,plain,
greater(vd519,vd520),
inference(forward_subsumption_resolution,[status(thm)],[c_100146,c_97]) ).
cnf(c_141578,plain,
( ~ greater(X0,vd520)
| greater(vmul(vd517,X0),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_62,c_99996]) ).
cnf(c_158636,plain,
( ~ greater(vd519,vd520)
| greater(sP0_iProver_def,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_953,c_141578]) ).
cnf(c_158660,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_158636,c_955,c_100148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : NUM856+2 : TPTP v8.2.0. Released v4.1.0.
% 0.09/0.15 % Command : run_iprover %s %d THM
% 0.14/0.37 % Computer : n001.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Sat Jun 22 20:23:24 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 39.40/6.28 % SZS status Started for theBenchmark.p
% 39.40/6.28 % SZS status Theorem for theBenchmark.p
% 39.40/6.28
% 39.40/6.28 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 39.40/6.28
% 39.40/6.28 ------ iProver source info
% 39.40/6.28
% 39.40/6.28 git: date: 2024-06-12 09:56:46 +0000
% 39.40/6.28 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 39.40/6.28 git: non_committed_changes: false
% 39.40/6.28
% 39.40/6.28 ------ Parsing...
% 39.40/6.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 39.40/6.28
% 39.40/6.28 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 39.40/6.28
% 39.40/6.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 39.40/6.28
% 39.40/6.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 39.40/6.28 ------ Proving...
% 39.40/6.28 ------ Problem Properties
% 39.40/6.28
% 39.40/6.28
% 39.40/6.28 clauses 60
% 39.40/6.28 conjectures 1
% 39.40/6.28 EPR 23
% 39.40/6.28 Horn 54
% 39.40/6.28 unary 23
% 39.40/6.28 binary 24
% 39.40/6.28 lits 110
% 39.40/6.28 lits eq 29
% 39.40/6.28 fd_pure 0
% 39.40/6.28 fd_pseudo 0
% 39.40/6.28 fd_cond 0
% 39.40/6.28 fd_pseudo_cond 6
% 39.40/6.28 AC symbols 2
% 39.40/6.28
% 39.40/6.28 ------ Schedule dynamic 5 is on
% 39.40/6.28
% 39.40/6.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.40/6.28
% 39.40/6.28
% 39.40/6.28 ------
% 39.40/6.28 Current options:
% 39.40/6.28 ------
% 39.40/6.28
% 39.40/6.28
% 39.40/6.28
% 39.40/6.28
% 39.40/6.28 ------ Proving...
% 39.40/6.28
% 39.40/6.28
% 39.40/6.28 % SZS status Theorem for theBenchmark.p
% 39.40/6.28
% 39.40/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.40/6.28
% 39.40/6.28
%------------------------------------------------------------------------------