%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM461+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 : Tue Sep 29 12:24:24 PM UTC 2026
% Result : Theorem 32.66s 5.09s
% Output : Refutation 32.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 101 ( 41 unt; 4 def)
% Number of atoms : 277 ( 112 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 310 ( 134 ~; 125 |; 42 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 89 ( 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f24,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__840) ).
fof(f25,axiom,
( xl != xn
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xl,X0) = xn )
& sdtlseqdt0(xl,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__840_03) ).
fof(f26,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__873) ).
fof(f27,conjecture,
( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(xm,xl),X0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(xn,xm) )
| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(xm,xl),X0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(xl,xm),X0) = sdtpldt0(xn,xm) )
| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f30,plain,
~ ( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(xm,xl),X0) = sdtpldt0(xm,xn) )
| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& ( ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X1) )
| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(rectify,[],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f37]) ).
fof(f48,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f49,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f48]) ).
fof(f56,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f57,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f56]) ).
fof(f67,plain,
( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X0) )
& ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X1) )
& ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f57]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f69]) ).
fof(f73,plain,
( xl != xn
& aNaturalNumber0(sK1)
& xn = sdtpldt0(xl,sK1)
& sdtlseqdt0(xl,xn) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f25]) ).
fof(f77,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f100,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f109,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f24]) ).
fof(f110,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f24]) ).
fof(f112,plain,
xn = sdtpldt0(xl,sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f113,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f114,plain,
xl != xn,
inference(cnf_transformation,[],[f73]) ).
fof(f115,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0] :
( sdtpldt0(xm,xl) = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X0)
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f120,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f100]) ).
fof(f125,definition,
sF2 = sdtpldt0(xm,xl),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f126,plain,
sdtpldt0(xm,xl) = sF2,
inference(reorient_equations,[],[f125]) ).
fof(f127,definition,
sF3 = sdtpldt0(xm,xn),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f128,plain,
sdtpldt0(xm,xn) = sF3,
inference(reorient_equations,[],[f127]) ).
fof(f129,definition,
sF4 = sdtpldt0(xl,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f130,plain,
sdtpldt0(xl,xm) = sF4,
inference(reorient_equations,[],[f129]) ).
fof(f131,definition,
sF5 = sdtpldt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f132,plain,
sdtpldt0(xn,xm) = sF5,
inference(reorient_equations,[],[f131]) ).
fof(f134,plain,
! [X0] :
( sF3 != sdtpldt0(sF2,X0)
| ~ aNaturalNumber0(X0)
| sF2 = sF3
| sF4 = sF5
| ~ sdtlseqdt0(sF4,sF5) ),
inference(definition_folding,[],[f118,f132,f130,f132,f130,f126,f128,f128,f126]) ).
fof(f189,plain,
( aNaturalNumber0(sF2)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f77,f126]) ).
fof(f190,plain,
( aNaturalNumber0(sF3)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f77,f128]) ).
fof(f191,plain,
( aNaturalNumber0(sF3)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f190,f115]) ).
fof(f192,plain,
( aNaturalNumber0(sF2)
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f189,f115]) ).
fof(f195,plain,
aNaturalNumber0(sF3),
inference(forward_subsumption_resolution,[],[f191,f109]) ).
fof(f196,plain,
aNaturalNumber0(sF2),
inference(forward_subsumption_resolution,[],[f192,f110]) ).
fof(f229,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xl,X0) = sdtpldt0(X0,xl) ),
inference(resolution,[],[f79,f110]) ).
fof(f230,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(resolution,[],[f79,f109]) ).
fof(f231,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xm) = sdtpldt0(xm,X0) ),
inference(resolution,[],[f79,f115]) ).
fof(f232,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) ),
inference(resolution,[],[f79,f113]) ).
fof(f489,plain,
! [X0] :
( sF5 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f91,f132]) ).
fof(f502,plain,
! [X0] :
( sF5 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f489,f115]) ).
fof(f528,plain,
! [X0] :
( sF5 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f502,f109]) ).
fof(f658,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xl) = sdtpldt0(X0,sdtpldt0(X1,xl)) ),
inference(resolution,[],[f80,f110]) ).
fof(f1286,plain,
sdtpldt0(xm,xl) = sdtpldt0(xl,xm),
inference(resolution,[],[f229,f115]) ).
fof(f1288,plain,
sdtpldt0(xl,sK1) = sdtpldt0(sK1,xl),
inference(resolution,[],[f229,f113]) ).
fof(f1293,plain,
xn = sdtpldt0(sK1,xl),
inference(forward_demodulation,[],[f1288,f112]) ).
fof(f1294,plain,
sdtpldt0(xm,xl) = sF4,
inference(forward_demodulation,[],[f1286,f130]) ).
fof(f1296,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f1294,f126]) ).
fof(f1312,plain,
sdtpldt0(xm,xn) = sdtpldt0(xn,xm),
inference(resolution,[],[f230,f115]) ).
fof(f1320,plain,
sdtpldt0(xm,xn) = sF5,
inference(forward_demodulation,[],[f1312,f132]) ).
fof(f1322,plain,
sF3 = sF5,
inference(forward_demodulation,[],[f1320,f128]) ).
fof(f1332,plain,
sdtpldt0(sK1,xm) = sdtpldt0(xm,sK1),
inference(resolution,[],[f231,f113]) ).
fof(f1355,plain,
sdtpldt0(sF2,sK1) = sdtpldt0(sK1,sF2),
inference(resolution,[],[f232,f196]) ).
fof(f1787,plain,
( sF4 != sF5
| xl = xn
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f528,f130]) ).
fof(f1788,plain,
( sF4 != sF5
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f1787,f114]) ).
fof(f1790,plain,
sF4 != sF5,
inference(forward_subsumption_resolution,[],[f1788,f110]) ).
fof(f1792,plain,
sF3 != sF4,
inference(forward_demodulation,[],[f1790,f1322]) ).
fof(f1793,plain,
sF2 != sF3,
inference(forward_demodulation,[],[f1792,f1296]) ).
fof(f2659,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,xm),xl) = sdtpldt0(X0,sdtpldt0(xm,xl)) ),
inference(resolution,[],[f658,f115]) ).
fof(f2661,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,sK1),xl) = sdtpldt0(X0,sdtpldt0(sK1,xl)) ),
inference(resolution,[],[f658,f113]) ).
fof(f2668,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(sdtpldt0(X0,sK1),xl) ),
inference(forward_demodulation,[],[f2661,f1293]) ).
fof(f2669,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sF2) = sdtpldt0(sdtpldt0(X0,xm),xl) ),
inference(forward_demodulation,[],[f2659,f126]) ).
fof(f10435,plain,
sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,sK1),xl),
inference(resolution,[],[f2668,f115]) ).
fof(f10445,plain,
sF3 = sdtpldt0(sdtpldt0(xm,sK1),xl),
inference(forward_demodulation,[],[f10435,f128]) ).
fof(f10460,plain,
sdtpldt0(sK1,sF2) = sdtpldt0(sdtpldt0(sK1,xm),xl),
inference(resolution,[],[f2669,f113]) ).
fof(f10468,plain,
sdtpldt0(sK1,sF2) = sdtpldt0(sdtpldt0(xm,sK1),xl),
inference(forward_demodulation,[],[f10460,f1332]) ).
fof(f10475,plain,
sF3 = sdtpldt0(sK1,sF2),
inference(forward_demodulation,[],[f10468,f10445]) ).
fof(f10482,plain,
sF3 = sdtpldt0(sF2,sK1),
inference(superposition,[],[f1355,f10475]) ).
fof(f10534,plain,
( sF3 != sF3
| ~ aNaturalNumber0(sK1)
| sF2 = sF3
| sF4 = sF5
| ~ sdtlseqdt0(sF4,sF5) ),
inference(superposition,[],[f134,f10482]) ).
fof(f10542,plain,
( sdtlseqdt0(sF2,sF3)
| ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(sF2)
| ~ aNaturalNumber0(sF3) ),
inference(superposition,[],[f120,f10482]) ).
fof(f10546,plain,
( ~ aNaturalNumber0(sK1)
| sF2 = sF3
| sF4 = sF5
| ~ sdtlseqdt0(sF4,sF5) ),
inference(trivial_inequality_removal,[],[f10534]) ).
fof(f10551,plain,
( sdtlseqdt0(sF2,sF3)
| ~ aNaturalNumber0(sF2)
| ~ aNaturalNumber0(sF3) ),
inference(forward_subsumption_resolution,[],[f10542,f113]) ).
fof(f10556,plain,
( sF2 = sF3
| sF4 = sF5
| ~ sdtlseqdt0(sF4,sF5) ),
inference(forward_subsumption_resolution,[],[f10546,f113]) ).
fof(f10561,plain,
( sdtlseqdt0(sF2,sF3)
| ~ aNaturalNumber0(sF3) ),
inference(forward_subsumption_resolution,[],[f10551,f196]) ).
fof(f10566,plain,
( sF4 = sF5
| ~ sdtlseqdt0(sF4,sF5) ),
inference(forward_subsumption_resolution,[],[f10556,f1793]) ).
fof(f10569,plain,
sdtlseqdt0(sF2,sF3),
inference(forward_subsumption_resolution,[],[f10561,f195]) ).
fof(f10570,plain,
( sF3 = sF4
| ~ sdtlseqdt0(sF4,sF5) ),
inference(forward_demodulation,[],[f10566,f1322]) ).
fof(f10572,plain,
( sF2 = sF3
| ~ sdtlseqdt0(sF4,sF5) ),
inference(forward_demodulation,[],[f10570,f1296]) ).
fof(f10574,plain,
~ sdtlseqdt0(sF4,sF5),
inference(forward_subsumption_resolution,[],[f10572,f1793]) ).
fof(f10576,plain,
~ sdtlseqdt0(sF4,sF3),
inference(forward_demodulation,[],[f10574,f1322]) ).
fof(f10577,plain,
~ sdtlseqdt0(sF2,sF3),
inference(forward_demodulation,[],[f10576,f1296]) ).
fof(f10578,plain,
$false,
inference(forward_subsumption_resolution,[],[f10577,f10569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM461+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:01:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.99/2.48 % (3279191)Will run a generic schedule for satisfiability detection.
% 13.99/2.48 % (3279200)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1226072102:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.99/2.48 % (3279197)% WARNING: option uhcvi not known.
% 13.99/2.48 % (3279196)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3242660788_2999 on theBenchmark for (2999ds/0Mi)
% 13.99/2.48 % (3279197)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2925826950:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.99/2.48 % (3279198)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2908399415:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.99/2.48 % (3279201)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3176919866:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.99/2.48 % (3279199)dis+10_1_sil=32000:sp=arity:random_seed=623802594:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.99/2.48 % (3279202)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2010518589:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.99/2.48 % TRYING [1]
% 13.99/2.48 % TRYING [2]
% 13.99/2.48 % TRYING [3]
% 13.99/2.48 % TRYING [4]
% 13.99/2.48 % (3279200)Instruction limit reached!
% 13.99/2.48 % (3279200)------------------------------
% 13.99/2.48 % (3279200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.48 % (3279200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.48 % (3279200)CaDiCaL version: 2.1.3
% 13.99/2.48 % (3279200)Termination reason: Instruction limit
% 13.99/2.48 % (3279200)Termination phase: Saturation
% 13.99/2.48 % (3279200)Time elapsed: 0.037 s
% 13.99/2.48 % (3279200)Peak memory usage: 13 MB
% 13.99/2.48 % (3279200)Instructions burned: 119 (million)
% 13.99/2.48 % TRYING [5]
% 13.99/2.48 % (3279210)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=103254003:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.99/2.48 % TRYING [1]
% 13.99/2.48 % TRYING [2]
% 13.99/2.48 % TRYING [3]
% 13.99/2.48 % TRYING [4]
% 13.99/2.48 % (3279199)Instruction limit reached!
% 13.99/2.48 % (3279199)------------------------------
% 13.99/2.48 % (3279199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.48 % (3279199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.48 % (3279199)CaDiCaL version: 2.1.3
% 13.99/2.48 % (3279199)Termination reason: Instruction limit
% 13.99/2.48 % (3279199)Termination phase: Saturation
% 13.99/2.48 % (3279199)Time elapsed: 0.061 s
% 13.99/2.48 % (3279199)Peak memory usage: 12 MB
% 13.99/2.48 % (3279199)Instructions burned: 103 (million)
% 13.99/2.48 % (3279201)Instruction limit reached!
% 13.99/2.48 % (3279201)------------------------------
% 13.99/2.48 % (3279201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.48 % (3279201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.48 % (3279201)CaDiCaL version: 2.1.3
% 13.99/2.48 % (3279201)Termination reason: Instruction limit
% 13.99/2.48 % (3279201)Termination phase: Saturation
% 13.99/2.48 % (3279201)Time elapsed: 0.073 s
% 13.99/2.48 % (3279201)Peak memory usage: 14 MB
% 13.99/2.48 % (3279201)Instructions burned: 131 (million)
% 13.99/2.48 % TRYING [5]
% 13.99/2.48 % (3279212)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2386450122:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.99/2.48 % TRYING [6]
% 13.99/2.48 % (3279202)Instruction limit reached!
% 13.99/2.48 % (3279202)------------------------------
% 13.99/2.48 % (3279202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.48 % (3279202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.48 % (3279202)CaDiCaL version: 2.1.3
% 13.99/2.48 % (3279202)Termination reason: Instruction limit
% 13.99/2.48 % (3279202)Termination phase: Saturation
% 13.99/2.48 % (3279202)Time elapsed: 0.092 s
% 13.99/2.48 % (3279202)Peak memory usage: 14 MB
% 13.99/2.48 % (3279202)Instructions burned: 159 (million)
% 13.99/2.48 % (3279213)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2164778810:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.99/2.48 % TRYING [6]
% 13.99/2.48 % (3279216)ott-21_1_sil=16000:fs=off:random_seed=3792839197:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.99/2.48 % (3279212)Instruction limit reached!
% 13.99/2.48 % (3279212)------------------------------
% 13.99/2.48 % (3279212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279212)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279212)Termination reason: Instruction limit
% 32.66/5.09 % (3279212)Termination phase: Saturation
% 32.66/5.09 % (3279212)Time elapsed: 0.065 s
% 32.66/5.09 % (3279212)Peak memory usage: 12 MB
% 32.66/5.09 % (3279212)Instructions burned: 132 (million)
% 32.66/5.09 % (3279218)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=897993909:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 32.66/5.09 % (3279216)Instruction limit reached!
% 32.66/5.09 % (3279216)------------------------------
% 32.66/5.09 % (3279216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279216)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279216)Termination reason: Instruction limit
% 32.66/5.09 % (3279216)Termination phase: Saturation
% 32.66/5.09 % (3279216)Time elapsed: 0.087 s
% 32.66/5.09 % (3279216)Peak memory usage: 13 MB
% 32.66/5.09 % (3279216)Instructions burned: 182 (million)
% 32.66/5.09 % (3279210)Instruction limit reached!
% 32.66/5.09 % (3279210)------------------------------
% 32.66/5.09 % (3279210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279210)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279210)Termination reason: Instruction limit
% 32.66/5.09 % (3279210)Termination phase: Finite model building constraint generation
% 32.66/5.09 % (3279210)Time elapsed: 0.171 s
% 32.66/5.09 % (3279210)Peak memory usage: 31 MB
% 32.66/5.09 % (3279210)Instructions burned: 717 (million)
% 32.66/5.09 % (3279220)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=875460997:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 32.66/5.09 % TRYING [1]
% 32.66/5.09 % TRYING [2]
% 32.66/5.09 % TRYING [3]
% 32.66/5.09 % (3279222)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2086543739:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 32.66/5.09 % TRYING [4]
% 32.66/5.09 % TRYING [7]
% 32.66/5.09 % TRYING [5]
% 32.66/5.09 % (3279213)Instruction limit reached!
% 32.66/5.09 % (3279213)------------------------------
% 32.66/5.09 % (3279213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279213)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279213)Termination reason: Instruction limit
% 32.66/5.09 % (3279213)Termination phase: Saturation
% 32.66/5.09 % (3279213)Time elapsed: 0.354 s
% 32.66/5.09 % (3279213)Peak memory usage: 18 MB
% 32.66/5.09 % (3279213)Instructions burned: 684 (million)
% 32.66/5.09 % TRYING [6]
% 32.66/5.09 % (3279224)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=444161041:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 32.66/5.09 % (3279218)Instruction limit reached!
% 32.66/5.09 % (3279218)------------------------------
% 32.66/5.09 % (3279218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279218)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279218)Termination reason: Instruction limit
% 32.66/5.09 % (3279218)Termination phase: Saturation
% 32.66/5.09 % (3279218)Time elapsed: 0.312 s
% 32.66/5.09 % (3279218)Peak memory usage: 14 MB
% 32.66/5.09 % (3279218)Instructions burned: 477 (million)
% 32.66/5.09 % (3279226)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1179076213:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 32.66/5.09 % (3279220)Instruction limit reached!
% 32.66/5.09 % (3279220)------------------------------
% 32.66/5.09 % (3279220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279220)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279220)Termination reason: Instruction limit
% 32.66/5.09 % (3279220)Termination phase: Finite model building SAT solving
% 32.66/5.09 % (3279220)Time elapsed: 0.341 s
% 32.66/5.09 % (3279220)Peak memory usage: 25 MB
% 32.66/5.09 % (3279220)Instructions burned: 866 (million)
% 32.66/5.09 % (3279222)Instruction limit reached!
% 32.66/5.09 % (3279222)------------------------------
% 32.66/5.09 % (3279222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279222)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279222)Termination reason: Instruction limit
% 32.66/5.09 % (3279222)Termination phase: Saturation
% 32.66/5.09 % (3279222)Time elapsed: 0.343 s
% 32.66/5.09 % (3279222)Peak memory usage: 26 MB
% 32.66/5.09 % (3279222)Instructions burned: 1179 (million)
% 32.66/5.09 % (3279228)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2470971756:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 32.66/5.09 % (3279229)fmb+10_1_sil=64000:random_seed=1168686946:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 32.66/5.09 % TRYING [1]
% 32.66/5.09 % TRYING [2]
% 32.66/5.09 % TRYING [14]
% 32.66/5.09 % TRYING [3]
% 32.66/5.09 % TRYING [4]
% 32.66/5.09 % TRYING [5]
% 32.66/5.09 % TRYING [8]
% 32.66/5.09 % TRYING [6]
% 32.66/5.09 % (3279224)Instruction limit reached!
% 32.66/5.09 % (3279224)------------------------------
% 32.66/5.09 % (3279224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279224)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279224)Termination reason: Instruction limit
% 32.66/5.09 % (3279224)Termination phase: Finite model building constraint generation
% 32.66/5.09 % (3279224)Time elapsed: 0.331 s
% 32.66/5.09 % (3279224)Peak memory usage: 75 MB
% 32.66/5.09 % (3279224)Instructions burned: 891 (million)
% 32.66/5.09 % (3279232)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1464525646:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 32.66/5.09 % TRYING [20]
% 32.66/5.09 % (3279226)Instruction limit reached!
% 32.66/5.09 % (3279226)------------------------------
% 32.66/5.09 % (3279226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279226)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279226)Termination reason: Instruction limit
% 32.66/5.09 % (3279226)Termination phase: Saturation
% 32.66/5.09 % (3279226)Time elapsed: 0.395 s
% 32.66/5.09 % (3279226)Peak memory usage: 20 MB
% 32.66/5.09 % (3279226)Instructions burned: 693 (million)
% 32.66/5.09 % TRYING [7]
% 32.66/5.09 % (3279234)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=172783440:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 32.66/5.09 % TRYING [8]
% 32.66/5.09 % (3279228)Instruction limit reached!
% 32.66/5.09 % (3279228)------------------------------
% 32.66/5.09 % (3279228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279228)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279228)Termination reason: Instruction limit
% 32.66/5.09 % (3279228)Termination phase: Saturation
% 32.66/5.09 % (3279228)Time elapsed: 0.504 s
% 32.66/5.09 % (3279228)Peak memory usage: 20 MB
% 32.66/5.09 % (3279228)Instructions burned: 879 (million)
% 32.66/5.09 % (3279236)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2985245870:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 32.66/5.09 % (3279234)Instruction limit reached!
% 32.66/5.09 % (3279234)------------------------------
% 32.66/5.09 % (3279234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279234)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279234)Termination reason: Instruction limit
% 32.66/5.09 % (3279234)Termination phase: Finite model building constraint generation
% 32.66/5.09 % (3279234)Time elapsed: 0.343 s
% 32.66/5.09 % (3279234)Peak memory usage: 65 MB
% 32.66/5.09 % (3279234)Instructions burned: 922 (million)
% 32.66/5.09 % (3279238)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3383396602:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 32.66/5.09 % TRYING [8]
% 32.66/5.09 % TRYING [9]
% 32.66/5.09 % (3279238)Instruction limit reached!
% 32.66/5.09 % (3279238)------------------------------
% 32.66/5.09 % (3279238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279238)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279238)Termination reason: Instruction limit
% 32.66/5.09 % (3279238)Termination phase: Saturation
% 32.66/5.09 % (3279238)Time elapsed: 0.721 s
% 32.66/5.09 % (3279238)Peak memory usage: 33 MB
% 32.66/5.09 % (3279238)Instructions burned: 1473 (million)
% 32.66/5.09 % (3279240)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3473881647:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 32.66/5.09 % TRYING [77]
% 32.66/5.09 % TRYING [9]
% 32.66/5.09 % (3279236)Instruction limit reached!
% 32.66/5.09 % (3279236)------------------------------
% 32.66/5.09 % (3279236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279236)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279236)Termination reason: Instruction limit
% 32.66/5.09 % (3279236)Termination phase: Saturation
% 32.66/5.09 % (3279236)Time elapsed: 2.594 s
% 32.66/5.09 % (3279236)Peak memory usage: 51 MB
% 32.66/5.09 % (3279236)Instructions burned: 5133 (million)
% 32.66/5.09 % (3279242)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=162215701:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 32.66/5.09 % TRYING [16]
% 32.66/5.09 % (3279232)Instruction limit reached!
% 32.66/5.09 % (3279232)------------------------------
% 32.66/5.09 % (3279232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279232)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279232)Termination reason: Instruction limit
% 32.66/5.09 % (3279232)Termination phase: Finite model building constraint generation
% 32.66/5.09 % (3279232)Time elapsed: 3.336 s
% 32.66/5.09 % (3279232)Peak memory usage: 581 MB
% 32.66/5.09 % (3279232)Instructions burned: 9516 (million)
% 32.66/5.09 % (3279244)ott-2_1_sil=16000:newcnf=on:random_seed=2566357495:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 32.66/5.09 % (3279240)Instruction limit reached!
% 32.66/5.09 % (3279240)------------------------------
% 32.66/5.09 % (3279240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279240)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279240)Termination reason: Instruction limit
% 32.66/5.09 % (3279240)Termination phase: Finite model building constraint generation
% 32.66/5.09 % (3279240)Time elapsed: 2.277 s
% 32.66/5.09 % (3279240)Peak memory usage: 455 MB
% 32.66/5.09 % (3279240)Instructions burned: 6324 (million)
% 32.66/5.09 % TRYING [10]
% 32.66/5.09 % (3279246)ott+10_1_sil=32000:tgt=ground:random_seed=2383930120:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 32.66/5.09 % (3279242)Instruction limit reached!
% 32.66/5.09 % (3279242)------------------------------
% 32.66/5.09 % (3279242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279242)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279242)Termination reason: Instruction limit
% 32.66/5.09 % (3279242)Termination phase: Finite model building constraint generation
% 32.66/5.09 % (3279242)Time elapsed: 0.766 s
% 32.66/5.09 % (3279242)Peak memory usage: 146 MB
% 32.66/5.09 % (3279242)Instructions burned: 2176 (million)
% 32.66/5.09 % (3279248)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3944930712:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 32.66/5.09 % TRYING [1]
% 32.66/5.09 % TRYING [2]
% 32.66/5.09 % TRYING [3]
% 32.66/5.09 % TRYING [4]
% 32.66/5.09 % TRYING [5]
% 32.66/5.09 % (3279246) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3279191-3279246"...
% 32.66/5.09 % (3279246)...printing done.
% 32.66/5.09 % (3279246)Refutation found. Thanks to Tanya!
% 32.66/5.09 % SZS status Theorem for theBenchmark
% 32.66/5.09 % SZS output start Proof for theBenchmark
% See solution above
% 32.66/5.09 % (3279246)------------------------------
% 32.66/5.09 % (3279246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.66/5.09 % (3279246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.66/5.09 % (3279246)CaDiCaL version: 2.1.3
% 32.66/5.09 % (3279246)Termination reason: Refutation
% 32.66/5.09 % (3279246)Time elapsed: 0.230 s
% 32.66/5.09 % (3279246)Peak memory usage: 15 MB
% 32.66/5.09 % (3279246)Instructions burned: 369 (million)
% 32.66/5.09 % (3279191)Success in time 4.674 s
% 32.66/5.09 % Vampire exiting
%------------------------------------------------------------------------------