%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM856+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:26:55 PM UTC 2026
% Result : Theorem 4.78s 2.24s
% Output : CNFRefutation 4.78s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f2ERROR: Could not build tree for root c_12987ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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(f5,axiom,
! [X0,X1,X2] :
( less(vmul(X0,X1),vmul(X2,X1))
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct2(conjunct2(307)), 0), 0)') ).
fof(f6,axiom,
! [X0,X1,X2] :
( vmul(X0,X1) = vmul(X2,X1)
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(conjunct2(307)), 0), 0)') ).
fof(f7,axiom,
! [X0,X1,X2] :
( greater(vmul(X0,X1),vmul(X2,X1))
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conjunct1(307), 0), 0)') ).
fof(f8,axiom,
! [X0,X1,X2] :
( less(X1,X2)
=> less(vmul(X1,X0),vmul(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 0)') ).
fof(f9,axiom,
! [X0,X1,X2] :
( X1 = X2
=> vmul(X1,X0) = vmul(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 1)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f11,axiom,
! [X0,X1,X2] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(290, 0), 0)') ).
fof(f12,axiom,
! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f13,axiom,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f14,axiom,
! [X0,X1] : vmul(vsucc(X0),X1) = vplus(vmul(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(261, 0), 0)') ).
fof(f15,axiom,
! [X0] : vmul(v1,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(253, 0), 0)') ).
fof(f16,axiom,
! [X0,X1] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f17,axiom,
! [X0,X1] :
( less(X0,vplus(X1,v1))
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(241, 0), 0)') ).
fof(f18,axiom,
! [X0,X1] :
( greater(X0,X1)
=> geq(X0,vplus(X1,v1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(234, 0), 0)') ).
fof(f19,axiom,
! [X0] : geq(X0,v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(228, 0), 0)') ).
fof(f20,axiom,
! [X0,X1,X2,X3] :
( ( geq(X0,X1)
& geq(X2,X3) )
=> geq(vplus(X0,X2),vplus(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(223, 0), 0)') ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( ( ( greater(X0,X1)
& geq(X2,X3) )
| ( geq(X0,X1)
& greater(X2,X3) ) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(216), 0), 0)') ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( greater(X0,X1)
& greater(X2,X3) )
=> greater(vplus(X0,X2),vplus(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(209, 0), 0)') ).
fof(f23,axiom,
! [X0,X1,X2] :
( less(vplus(X0,X2),vplus(X1,X2))
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 0)') ).
fof(f24,axiom,
! [X0,X1,X2] :
( vplus(X0,X2) = vplus(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 1)') ).
fof(f25,axiom,
! [X0,X1,X2] :
( greater(vplus(X0,X2),vplus(X1,X2))
=> greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(202), 0), 2)') ).
fof(f26,axiom,
! [X0,X1,X2] :
( less(X0,X1)
=> less(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 0)') ).
fof(f27,axiom,
! [X0,X1,X2] :
( X0 = X1
=> vplus(X0,X2) = vplus(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 1)') ).
fof(f28,axiom,
! [X0,X1,X2] :
( greater(X0,X1)
=> greater(vplus(X0,X2),vplus(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(193), 0), 2)') ).
fof(f29,axiom,
! [X0,X1] : greater(vplus(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(189, 0), 0)') ).
fof(f30,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(184, 0), 0)') ).
fof(f31,axiom,
! [X0,X1,X2] :
( ( ( less(X0,X1)
& leq(X1,X2) )
| ( leq(X0,X1)
& less(X1,X2) ) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(177), 0), 0)') ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
fof(f33,axiom,
! [X0,X1] :
( leq(X0,X1)
=> geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(163, 0), 0)') ).
fof(f34,axiom,
! [X0,X1] :
( geq(X0,X1)
=> leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(158, 0), 0)') ).
fof(f35,axiom,
! [X0,X1] :
( leq(X1,X0)
<=> ( X1 = X0
| less(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 17), 1)') ).
fof(f36,axiom,
! [X0,X1] :
( geq(X1,X0)
<=> ( X1 = X0
| greater(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 16), 1)') ).
fof(f37,axiom,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f38,axiom,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f39,axiom,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f40,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 1)') ).
fof(f41,axiom,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f42,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f43,axiom,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : X0 = vplus(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f44,axiom,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : X1 = vplus(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f45,axiom,
! [X0,X1] :
( ? [X3] : X1 = vplus(X0,X3)
| ? [X2] : X0 = vplus(X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 0)') ).
fof(f46,axiom,
! [X0,X1] :
( ~ ? [X2] : X1 = vplus(X0,X2)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 1)') ).
fof(f47,axiom,
! [X0,X1] :
( ~ ? [X3] : X1 = vplus(X0,X3)
| ~ ? [X2] : X0 = vplus(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f48,axiom,
! [X0,X1] :
( ~ ? [X2] : X0 = vplus(X1,X2)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 3)') ).
fof(f49,axiom,
! [X0,X1] :
( X0 != X1
=> ! [X2] : vplus(X2,X0) != vplus(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(81, 0), 0)') ).
fof(f50,axiom,
! [X0,X1] : X1 != vplus(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(73, 0), 0)') ).
fof(f51,axiom,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f52,axiom,
! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).
fof(f53,axiom,
! [X0] : vplus(v1,X0) = vsucc(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f54,axiom,
! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f55,axiom,
! [X0,X1] :
( vplus(X0,v1) = vsucc(X0)
& vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) ),
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(f57,axiom,
! [X0] : vsucc(X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).
fof(f58,axiom,
! [X0,X1] :
( X0 != X1
=> vsucc(X0) != vsucc(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).
fof(f59,axiom,
! [X0,X1] :
( vsucc(X0) = vsucc(X1)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(antec(axiom(3)), imp(antec(axiom(3))))') ).
fof(f60,axiom,
! [X0] : vsucc(X0) != v1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))') ).
fof(f61,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(flattening,[],[f2]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vmul(X0,X2),vmul(X1,X3)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vmul(X0,X2),vmul(X1,X3)) ),
inference(flattening,[],[f70]) ).
fof(f98,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| ? [X2] : X1 = vplus(X0,X2) )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f99,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| ? [X3] : vplus(X0,X3) = X1 )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 )
& ( ! [X2] : vplus(X0,X2) != X1
| greater(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f99]) ).
fof(f101,plain,
! [X0,X1] :
( ( ~ geq(X1,X0)
| X1 = X0
| greater(X1,X0) )
& ( ( X0 != X1
& ~ greater(X1,X0) )
| geq(X1,X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f102,plain,
! [X0,X1] :
( ( ~ geq(X1,X0)
| X1 = X0
| greater(X1,X0) )
& ( ( X0 != X1
& ~ greater(X1,X0) )
| geq(X1,X0) ) ),
inference(flattening,[],[f101]) ).
fof(f109,plain,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f61]) ).
fof(f110,plain,
( greater(vd517,vd518)
| geq(vd517,vd518) ),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
( greater(vd517,vd518)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
( geq(vd519,vd520)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f116,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f121,plain,
! [X0,X1] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f29]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vmul(X0,X2),vmul(X1,X3)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f129,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f13]) ).
fof(f130,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f12]) ).
fof(f131,plain,
! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f11]) ).
fof(f136,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f138,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| geq(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f146,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f54]) ).
fof(f147,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f190,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f116]) ).
tcf(c_49,negated_conjecture,
~ greater(vmul(vd517,vd519),vmul(vd518,vd520)),
inference(cnf_transformation,[],[f109]) ).
tcf(c_50,plain,
( geq(vd519,vd520)
| greater(vd519,vd520) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_51,plain,
( greater(vd519,vd520)
| greater(vd517,vd518) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_53,plain,
( geq(vd517,vd518)
| greater(vd517,vd518) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( vplus(X1,sK0(X1,X0)) = X0 )
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_56,plain,
! [X0: $i] : ~ greater(X0,X0),
inference(cnf_transformation,[],[f190]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : greater(vplus(X0,X1),X0),
inference(cnf_transformation,[],[f121]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(vmul(X0,X2),vmul(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(vmul(X0,X2),vmul(X1,X3))
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f129]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f130]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f131]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( geq(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ geq(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f146]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f147]) ).
tcf(c_191,plain,
geq(vd519,vd520),
inference(forward_subsumption_resolution,[status(thm)],[c_50,c_75]) ).
tcf(c_201,plain,
geq(vd517,vd518),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_75]) ).
tcf(c_1530,plain,
! [X0: $i,X1: $i,X2: $i] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
inference(superposition,[status(thm)],[c_70,c_61]) ).
tcf(c_1754,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(vmul(X0,X2),vmul(X2,X1))
| ~ greater(X0,X1) ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
tcf(c_2028,plain,
( greater(vd519,vd520)
| ( vd519 = vd520 ) ),
inference(superposition,[status(thm)],[c_191,c_77]) ).
tcf(c_2029,plain,
( greater(vd517,vd518)
| ( vd517 = vd518 ) ),
inference(superposition,[status(thm)],[c_201,c_77]) ).
tcf(c_5110,plain,
( ~ greater(vd519,vd520)
| ~ greater(vd517,vd518) ),
inference(superposition,[status(thm)],[c_67,c_49]) ).
tcf(c_5477,plain,
( ( vd517 = vd518 )
| ~ greater(vd519,vd520) ),
inference(superposition,[status(thm)],[c_2029,c_5110]) ).
tcf(c_5490,plain,
( ( vd519 = vd520 )
| ( vd517 = vd518 ) ),
inference(superposition,[status(thm)],[c_2028,c_5477]) ).
tcf(c_5521,plain,
( ( vd517 = vd518 )
| ~ greater(vmul(vd517,vd519),vmul(vd518,vd519)) ),
inference(superposition,[status(thm)],[c_5490,c_49]) ).
tcf(c_5522,plain,
( ( vd517 = vd518 )
| ~ greater(vmul(vd517,vd519),vmul(vd519,vd518)) ),
inference(theory_normalisation,[status(thm)],[c_5521,c_71,c_69,c_85,c_86]) ).
tcf(c_12205,plain,
( ( vd517 = vd518 )
| ~ greater(vd517,vd518) ),
inference(superposition,[status(thm)],[c_1754,c_5522]) ).
tcf(c_12470,plain,
vd517 = vd518,
inference(global_subsumption_just,[status(thm)],[c_12205,c_2029,c_12205]) ).
tcf(c_12495,plain,
( greater(vd519,vd520)
| greater(vd517,vd517) ),
inference(demodulation,[status(thm)],[c_51,c_12470]) ).
tcf(c_12497,plain,
~ greater(vmul(vd517,vd519),vmul(vd517,vd520)),
inference(demodulation,[status(thm)],[c_49,c_12470]) ).
tcf(c_12498,plain,
greater(vd519,vd520),
inference(forward_subsumption_resolution,[status(thm)],[c_12495,c_56]) ).
tcf(c_12517,plain,
vplus(vd520,sK0(vd520,vd519)) = vd519,
inference(superposition,[status(thm)],[c_12498,c_55]) ).
tcf(c_12886,plain,
! [X0: $i] : greater(vmul(X0,vd519),vmul(X0,vd520)),
inference(superposition,[status(thm)],[c_12517,c_1530]) ).
tcf(c_12987,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_12497,c_12886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM856+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 05:35:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.45 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 4.78/2.24 % SZS status Started for theBenchmark.p
% 4.78/2.24 % SZS status Theorem for theBenchmark.p
% 4.78/2.24
% 4.78/2.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.78/2.24
% 4.78/2.24 % ------ iProver source info
% 4.78/2.24
% 4.78/2.24 % git: date: 2026-07-19 20:42:38 +0200
% 4.78/2.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.78/2.24 % git: non_committed_changes: false
% 4.78/2.24
% 4.78/2.24 % ------ Parsing...
% 4.78/2.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.78/2.24
% 4.78/2.24 % ------ 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 %
% 4.78/2.24
% 4.78/2.24 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.78/2.24
% 4.78/2.24 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.78/2.24 % ------ Proving...
% 4.78/2.24 % ------ Problem Properties
% 4.78/2.24
% 4.78/2.24 %
% 4.78/2.24 % clauses 57
% 4.78/2.24 % conjectures 1
% 4.78/2.24 % EPR 22
% 4.78/2.24 % Horn 52
% 4.78/2.24 % unary 21
% 4.78/2.24 % binary 23
% 4.78/2.24 % lits 106
% 4.78/2.24 % lits eq 25
% 4.78/2.24 % fd_pure 0
% 4.78/2.24 % fd_pseudo 0
% 4.78/2.24 % fd_cond 0
% 4.78/2.24 % fd_pseudo_cond 6
% 4.78/2.24 % AC symbols 2
% 4.78/2.24
% 4.78/2.24 % ------ Schedule dynamic 5 is on
% 4.78/2.24
% 4.78/2.24 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.78/2.24
% 4.78/2.24
% 4.78/2.24 % ------
% 4.78/2.24 % Current options:
% 4.78/2.24 % ------
% 4.78/2.24
% 4.78/2.24
% 4.78/2.24 %
% 4.78/2.24
% 4.78/2.24 % ------ Proving...
% 4.78/2.24 %
% 4.78/2.24
% 4.78/2.24 % SZS status Theorem for theBenchmark.p
% 4.78/2.24
% 4.78/2.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.78/2.24
% 4.78/2.24
%------------------------------------------------------------------------------