%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM479+1 : 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 : n010.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 12:24:28 PM UTC 2026
% Result : Theorem 45.15s 7.03s
% Output : Refutation 45.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 116 ( 48 unt; 6 def)
% Number of atoms : 329 ( 100 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 380 ( 167 ~; 171 |; 28 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 104 ( 99 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivTrans) ).
fof(f36,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524) ).
fof(f37,axiom,
( xl != sz00
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1524_04) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1553) ).
fof(f39,conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f43,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(flattening,[],[f40]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f47]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f57,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f56]) ).
fof(f89,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f90,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f94,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f93]) ).
fof(f106,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f90]) ).
fof(f107,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f92]) ).
fof(f110,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f109]) ).
fof(f115,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f159,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f161,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f163,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f167,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f36]) ).
fof(f168,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f169,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f37]) ).
fof(f170,plain,
sz00 != xl,
inference(cnf_transformation,[],[f37]) ).
fof(f171,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f172,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
inference(cnf_transformation,[],[f43]) ).
fof(f179,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f159]) ).
fof(f181,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f182,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f160]) ).
fof(f183,definition,
sF2 = sdtasdt0(xl,xn),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f184,plain,
sdtasdt0(xl,xn) = sF2,
inference(reorient_equations,[],[f183]) ).
fof(f185,definition,
sF3 = sdtsldt0(xm,xl),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f186,plain,
sdtsldt0(xm,xl) = sF3,
inference(reorient_equations,[],[f185]) ).
fof(f187,definition,
sF4 = sdtasdt0(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f188,plain,
sdtasdt0(sF2,sF3) = sF4,
inference(reorient_equations,[],[f187]) ).
fof(f189,definition,
sF5 = sdtasdt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f190,plain,
sdtasdt0(xn,xm) = sF5,
inference(reorient_equations,[],[f189]) ).
fof(f191,definition,
sF6 = sdtsldt0(sF5,xl),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f192,plain,
sdtsldt0(sF5,xl) = sF6,
inference(reorient_equations,[],[f191]) ).
fof(f193,definition,
sF7 = sdtasdt0(xl,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f194,plain,
sdtasdt0(xl,sF6) = sF7,
inference(reorient_equations,[],[f193]) ).
fof(f195,plain,
sF4 != sF7,
inference(definition_folding,[],[f172,f194,f192,f190,f188,f186,f184]) ).
fof(f245,plain,
( aNaturalNumber0(sF2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f115,f184]) ).
fof(f247,plain,
( ~ aNaturalNumber0(sF3)
| ~ aNaturalNumber0(sF2)
| aNaturalNumber0(sF4) ),
inference(superposition,[],[f115,f188]) ).
fof(f251,plain,
( aNaturalNumber0(sF2)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f245,f168]) ).
fof(f253,plain,
aNaturalNumber0(sF2),
inference(forward_subsumption_resolution,[],[f251,f171]) ).
fof(f281,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xl) = sdtasdt0(xl,X0) ),
inference(resolution,[],[f120,f168]) ).
fof(f283,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(resolution,[],[f120,f171]) ).
fof(f284,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sF2,X0) ),
inference(resolution,[],[f120,f253]) ).
fof(f400,plain,
( doDivides0(xl,sF2)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF2) ),
inference(superposition,[],[f179,f184]) ).
fof(f406,plain,
( doDivides0(sF2,sF4)
| ~ aNaturalNumber0(sF3)
| ~ aNaturalNumber0(sF2)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f179,f188]) ).
fof(f417,plain,
( doDivides0(sF2,sF4)
| ~ aNaturalNumber0(sF3)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f406,f253]) ).
fof(f423,plain,
( doDivides0(xl,sF2)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF2) ),
inference(forward_subsumption_resolution,[],[f400,f171]) ).
fof(f436,plain,
( doDivides0(xl,sF2)
| ~ aNaturalNumber0(sF2) ),
inference(forward_subsumption_resolution,[],[f423,f168]) ).
fof(f444,plain,
doDivides0(xl,sF2),
inference(forward_subsumption_resolution,[],[f436,f253]) ).
fof(f532,plain,
( aNaturalNumber0(sF3)
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f181,f186]) ).
fof(f535,plain,
( aNaturalNumber0(sF3)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f532,f170]) ).
fof(f537,plain,
( aNaturalNumber0(sF3)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f535,f169]) ).
fof(f539,plain,
( aNaturalNumber0(sF3)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f537,f168]) ).
fof(f540,plain,
aNaturalNumber0(sF3),
inference(forward_subsumption_resolution,[],[f539,f167]) ).
fof(f745,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xl) = sdtasdt0(X0,sdtasdt0(X1,xl)) ),
inference(resolution,[],[f121,f168]) ).
fof(f805,plain,
( sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f182,f169]) ).
fof(f822,plain,
( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f805,f170]) ).
fof(f831,plain,
( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f822,f168]) ).
fof(f836,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f831,f167]) ).
fof(f840,plain,
xm = sdtasdt0(xl,sF3),
inference(forward_demodulation,[],[f836,f186]) ).
fof(f1999,plain,
( ~ aNaturalNumber0(sF2)
| aNaturalNumber0(sF4) ),
inference(resolution,[],[f247,f540]) ).
fof(f2000,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f1999,f253]) ).
fof(f2014,plain,
! [X0] :
( ~ aNaturalNumber0(sF3)
| ~ aNaturalNumber0(sF4)
| ~ doDivides0(X0,sF2)
| doDivides0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF2)
| ~ aNaturalNumber0(sF4) ),
inference(resolution,[],[f417,f163]) ).
fof(f2019,plain,
! [X0] :
( ~ aNaturalNumber0(sF3)
| ~ aNaturalNumber0(sF4)
| ~ doDivides0(X0,sF2)
| doDivides0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF2) ),
inference(duplicate_literal_removal,[],[f2014]) ).
fof(f2023,plain,
! [X0] :
( ~ aNaturalNumber0(sF4)
| ~ doDivides0(X0,sF2)
| doDivides0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF2) ),
inference(forward_subsumption_resolution,[],[f2019,f540]) ).
fof(f2027,plain,
! [X0] :
( ~ doDivides0(X0,sF2)
| doDivides0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF2) ),
inference(forward_subsumption_resolution,[],[f2023,f2000]) ).
fof(f2031,plain,
! [X0] :
( ~ doDivides0(X0,sF2)
| doDivides0(X0,sF4)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2027,f253]) ).
fof(f2497,plain,
sdtasdt0(xl,xn) = sdtasdt0(xn,xl),
inference(resolution,[],[f281,f171]) ).
fof(f2501,plain,
sdtasdt0(xl,sF3) = sdtasdt0(sF3,xl),
inference(resolution,[],[f281,f540]) ).
fof(f2504,plain,
xm = sdtasdt0(sF3,xl),
inference(forward_demodulation,[],[f2501,f840]) ).
fof(f2505,plain,
sF2 = sdtasdt0(xn,xl),
inference(forward_demodulation,[],[f2497,f184]) ).
fof(f2596,plain,
sdtasdt0(sF3,xn) = sdtasdt0(xn,sF3),
inference(resolution,[],[f283,f540]) ).
fof(f4697,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,xn),xl) = sdtasdt0(X0,sdtasdt0(xn,xl)) ),
inference(resolution,[],[f745,f171]) ).
fof(f4701,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sF3),xl) = sdtasdt0(X0,sdtasdt0(sF3,xl)) ),
inference(resolution,[],[f745,f540]) ).
fof(f4706,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sF3),xl) ),
inference(forward_demodulation,[],[f4701,f2504]) ).
fof(f4708,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sdtasdt0(X0,xn),xl) ),
inference(forward_demodulation,[],[f4697,f2505]) ).
fof(f21065,plain,
( doDivides0(xl,sF4)
| ~ aNaturalNumber0(xl) ),
inference(resolution,[],[f2031,f444]) ).
fof(f21070,plain,
doDivides0(xl,sF4),
inference(forward_subsumption_resolution,[],[f21065,f168]) ).
fof(f21074,plain,
( sz00 = xl
| sF4 = sdtasdt0(xl,sdtsldt0(sF4,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF4) ),
inference(resolution,[],[f21070,f182]) ).
fof(f21129,plain,
( sF4 = sdtasdt0(xl,sdtsldt0(sF4,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f21074,f170]) ).
fof(f21160,plain,
( sF4 = sdtasdt0(xl,sdtsldt0(sF4,xl))
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f21129,f168]) ).
fof(f21177,plain,
sF4 = sdtasdt0(xl,sdtsldt0(sF4,xl)),
inference(forward_subsumption_resolution,[],[f21160,f2000]) ).
fof(f21753,plain,
sdtasdt0(sF2,sF3) = sdtasdt0(sF3,sF2),
inference(resolution,[],[f284,f540]) ).
fof(f21756,plain,
sF4 = sdtasdt0(sF3,sF2),
inference(forward_demodulation,[],[f21753,f188]) ).
fof(f30931,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,sF3),xl),
inference(resolution,[],[f4706,f171]) ).
fof(f30942,plain,
sF5 = sdtasdt0(sdtasdt0(xn,sF3),xl),
inference(forward_demodulation,[],[f30931,f190]) ).
fof(f30965,plain,
sdtasdt0(sF3,sF2) = sdtasdt0(sdtasdt0(sF3,xn),xl),
inference(resolution,[],[f4708,f540]) ).
fof(f30970,plain,
sdtasdt0(sF3,sF2) = sdtasdt0(sdtasdt0(xn,sF3),xl),
inference(forward_demodulation,[],[f30965,f2596]) ).
fof(f30978,plain,
sF5 = sdtasdt0(sF3,sF2),
inference(forward_demodulation,[],[f30970,f30942]) ).
fof(f30982,plain,
sF4 = sF5,
inference(forward_demodulation,[],[f30978,f21756]) ).
fof(f30983,plain,
sF6 = sdtsldt0(sF4,xl),
inference(superposition,[],[f192,f30982]) ).
fof(f49561,plain,
sF4 = sdtasdt0(xl,sF6),
inference(superposition,[],[f21177,f30983]) ).
fof(f49783,plain,
sF4 = sF7,
inference(superposition,[],[f194,f49561]) ).
fof(f49822,plain,
$false,
inference(forward_subsumption_resolution,[],[f49783,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM479+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:07:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 16.00/2.82 % (1274965)Will run a generic schedule for satisfiability detection.
% 16.00/2.82 % (1274974)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1311779679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.00/2.82 % (1274971)% WARNING: option uhcvi not known.
% 16.00/2.82 % (1274970)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1534917295_2999 on theBenchmark for (2999ds/0Mi)
% 16.00/2.82 % (1274971)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4128353102:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.00/2.82 % (1274972)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3102240123:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.00/2.82 % (1274973)dis+10_1_sil=32000:sp=arity:random_seed=231183737:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.00/2.82 % (1274975)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3433588113:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.00/2.82 % TRYING [1]
% 16.00/2.82 % TRYING [2]
% 16.00/2.82 % TRYING [3]
% 16.00/2.82 % (1274976)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1146687429:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.00/2.82 % TRYING [4]
% 16.00/2.82 % (1274974)Instruction limit reached!
% 16.00/2.82 % (1274974)------------------------------
% 16.00/2.82 % (1274974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/2.82 % (1274974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/2.82 % (1274974)CaDiCaL version: 2.1.3
% 16.00/2.82 % (1274974)Termination reason: Instruction limit
% 16.00/2.82 % (1274974)Termination phase: Saturation
% 16.00/2.82 % (1274974)Time elapsed: 0.038 s
% 16.00/2.82 % (1274974)Peak memory usage: 13 MB
% 16.00/2.82 % (1274974)Instructions burned: 118 (million)
% 16.00/2.82 % TRYING [5]
% 16.00/2.82 % (1274984)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2434959458:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.00/2.82 % TRYING [1]
% 16.00/2.82 % TRYING [2]
% 16.00/2.82 % TRYING [3]
% 16.00/2.82 % TRYING [4]
% 16.00/2.82 % (1274973)Instruction limit reached!
% 16.00/2.82 % (1274973)------------------------------
% 16.00/2.82 % (1274973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/2.82 % (1274973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/2.82 % (1274973)CaDiCaL version: 2.1.3
% 16.00/2.82 % (1274973)Termination reason: Instruction limit
% 16.00/2.82 % (1274973)Termination phase: Saturation
% 16.00/2.82 % (1274973)Time elapsed: 0.059 s
% 16.00/2.82 % (1274973)Peak memory usage: 12 MB
% 16.00/2.82 % (1274973)Instructions burned: 103 (million)
% 16.00/2.82 % TRYING [5]
% 16.00/2.82 % (1274975)Instruction limit reached!
% 16.00/2.82 % (1274975)------------------------------
% 16.00/2.82 % (1274975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/2.82 % (1274975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/2.82 % (1274975)CaDiCaL version: 2.1.3
% 16.00/2.82 % (1274975)Termination reason: Instruction limit
% 16.00/2.82 % (1274975)Termination phase: Saturation
% 16.00/2.82 % (1274975)Time elapsed: 0.076 s
% 16.00/2.82 % (1274975)Peak memory usage: 14 MB
% 16.00/2.82 % (1274975)Instructions burned: 131 (million)
% 16.00/2.82 % (1274986)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2220836092:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.00/2.82 % (1274987)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=2878431317:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.00/2.82 % TRYING [6]
% 16.00/2.82 % TRYING [6]
% 16.00/2.82 % (1274976)Instruction limit reached!
% 16.00/2.82 % (1274976)------------------------------
% 16.00/2.82 % (1274976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/2.82 % (1274976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.00/2.82 % (1274976)CaDiCaL version: 2.1.3
% 16.00/2.82 % (1274976)Termination reason: Instruction limit
% 16.00/2.82 % (1274976)Termination phase: Saturation
% 16.00/2.82 % (1274976)Time elapsed: 0.140 s
% 16.00/2.82 % (1274976)Peak memory usage: 13 MB
% 16.00/2.82 % (1274976)Instructions burned: 160 (million)
% 16.00/2.82 % (1274986)Instruction limit reached!
% 16.00/2.82 % (1274986)------------------------------
% 16.00/2.82 % (1274986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.00/2.82 % (1274986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.48/6.15 % (1274986)CaDiCaL version: 2.1.3
% 40.48/6.15 % (1274986)Termination reason: Instruction limit
% 40.48/6.15 % (1274986)Termination phase: Saturation
% 40.48/6.15 % (1274986)Time elapsed: 0.093 s
% 40.48/6.15 % (1274986)Peak memory usage: 12 MB
% 40.48/6.15 % (1274986)Instructions burned: 131 (million)
% 40.48/6.15 % (1274998)ott-21_1_sil=16000:fs=off:random_seed=810476241:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 40.48/6.15 % (1274999)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=423252413:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 40.48/6.15 % (1274984)Instruction limit reached!
% 40.48/6.15 % (1274984)------------------------------
% 40.48/6.15 % (1274984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.48/6.15 % (1274984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.48/6.15 % (1274984)CaDiCaL version: 2.1.3
% 40.48/6.15 % (1274984)Termination reason: Instruction limit
% 40.48/6.15 % (1274984)Termination phase: Finite model building SAT solving
% 40.48/6.15 % (1274984)Time elapsed: 0.197 s
% 40.48/6.15 % (1274984)Peak memory usage: 33 MB
% 40.48/6.15 % (1274984)Instructions burned: 714 (million)
% 40.48/6.15 % (1275002)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1196401636:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 40.48/6.15 % TRYING [1]
% 40.48/6.15 % TRYING [2]
% 40.48/6.15 % TRYING [3]
% 40.48/6.15 % TRYING [4]
% 40.48/6.15 % (1274998)Instruction limit reached!
% 40.48/6.15 % (1274998)------------------------------
% 40.48/6.15 % (1274998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.48/6.15 % (1274998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.48/6.15 % (1274998)CaDiCaL version: 2.1.3
% 40.48/6.15 % (1274998)Termination reason: Instruction limit
% 40.48/6.15 % (1274998)Termination phase: Saturation
% 40.48/6.15 % (1274998)Time elapsed: 0.142 s
% 40.48/6.15 % (1274998)Peak memory usage: 13 MB
% 40.48/6.15 % (1274998)Instructions burned: 180 (million)
% 40.48/6.15 % (1275005)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2723069822:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 40.48/6.15 % TRYING [7]
% 40.48/6.15 % TRYING [5]
% 40.48/6.15 % (1274999)Instruction limit reached!
% 40.48/6.15 % (1274999)------------------------------
% 40.48/6.15 % (1274999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.48/6.15 % (1274999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.48/6.15 % (1274999)CaDiCaL version: 2.1.3
% 40.48/6.15 % (1274999)Termination reason: Instruction limit
% 40.48/6.15 % (1274999)Termination phase: Saturation
% 40.48/6.15 % (1274999)Time elapsed: 0.289 s
% 40.48/6.15 % (1274999)Peak memory usage: 14 MB
% 40.48/6.15 % (1274999)Instructions burned: 477 (million)
% 40.48/6.15 % (1275014)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2765438089:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 40.48/6.15 % TRYING [14]
% 40.48/6.15 % (1274987)Instruction limit reached!
% 40.48/6.15 % (1274987)------------------------------
% 40.48/6.15 % (1274987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.48/6.15 % (1274987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.48/6.15 % (1274987)CaDiCaL version: 2.1.3
% 40.48/6.15 % (1274987)Termination reason: Instruction limit
% 40.48/6.15 % (1274987)Termination phase: Saturation
% 40.48/6.15 % (1274987)Time elapsed: 0.561 s
% 40.48/6.15 % (1274987)Peak memory usage: 17 MB
% 40.48/6.15 % (1274987)Instructions burned: 684 (million)
% 40.48/6.15 % (1275018)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=982347907:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 40.48/6.15 % TRYING [6]
% 40.48/6.15 % (1275002)Instruction limit reached!
% 40.48/6.15 % (1275002)------------------------------
% 40.48/6.15 % (1275002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.48/6.15 % (1275002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.48/6.15 % (1275002)CaDiCaL version: 2.1.3
% 40.48/6.15 % (1275002)Termination reason: Instruction limit
% 40.48/6.15 % (1275002)Termination phase: Finite model building constraint generation
% 40.48/6.15 % (1275002)Time elapsed: 0.530 s
% 40.48/6.15 % (1275002)Peak memory usage: 21 MB
% 40.48/6.15 % (1275002)Instructions burned: 867 (million)
% 40.48/6.15 % (1275014)Instruction limit reached!
% 40.48/6.15 % (1275014)------------------------------
% 40.48/6.15 % (1275014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.02 % (1275014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.02 % (1275014)CaDiCaL version: 2.1.3
% 45.15/7.02 % (1275014)Termination reason: Instruction limit
% 45.15/7.02 % (1275014)Termination phase: Finite model building constraint generation
% 45.15/7.02 % (1275014)Time elapsed: 0.300 s
% 45.15/7.02 % (1275014)Peak memory usage: 73 MB
% 45.15/7.02 % (1275014)Instructions burned: 890 (million)
% 45.15/7.02 % (1275021)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3479262423:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 45.15/7.02 % (1275022)fmb+10_1_sil=64000:random_seed=2470565224:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 45.15/7.02 % TRYING [1]
% 45.15/7.02 % TRYING [2]
% 45.15/7.02 % TRYING [3]
% 45.15/7.02 % TRYING [4]
% 45.15/7.02 % TRYING [5]
% 45.15/7.02 % TRYING [8]
% 45.15/7.02 % TRYING [6]
% 45.15/7.02 % (1275018)Instruction limit reached!
% 45.15/7.02 % (1275018)------------------------------
% 45.15/7.02 % (1275018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.02 % (1275018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275018)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275018)Termination reason: Instruction limit
% 45.15/7.03 % (1275018)Termination phase: Saturation
% 45.15/7.03 % (1275018)Time elapsed: 0.406 s
% 45.15/7.03 % (1275018)Peak memory usage: 22 MB
% 45.15/7.03 % (1275018)Instructions burned: 692 (million)
% 45.15/7.03 % (1275026)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=964780478:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 45.15/7.03 % TRYING [20]
% 45.15/7.03 % (1275005)Instruction limit reached!
% 45.15/7.03 % (1275005)------------------------------
% 45.15/7.03 % (1275005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275005)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275005)Termination reason: Instruction limit
% 45.15/7.03 % (1275005)Termination phase: Saturation
% 45.15/7.03 % (1275005)Time elapsed: 0.820 s
% 45.15/7.03 % (1275005)Peak memory usage: 24 MB
% 45.15/7.03 % (1275005)Instructions burned: 1180 (million)
% 45.15/7.03 % (1275028)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2807635107:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 45.15/7.03 % TRYING [8]
% 45.15/7.03 % TRYING [7]
% 45.15/7.03 % (1275021)Instruction limit reached!
% 45.15/7.03 % (1275021)------------------------------
% 45.15/7.03 % (1275021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275021)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275021)Termination reason: Instruction limit
% 45.15/7.03 % (1275021)Termination phase: Saturation
% 45.15/7.03 % (1275021)Time elapsed: 0.502 s
% 45.15/7.03 % (1275021)Peak memory usage: 19 MB
% 45.15/7.03 % (1275021)Instructions burned: 880 (million)
% 45.15/7.03 % (1275092)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1797937620:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 45.15/7.03 % (1275028)Instruction limit reached!
% 45.15/7.03 % (1275028)------------------------------
% 45.15/7.03 % (1275028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275028)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275028)Termination reason: Instruction limit
% 45.15/7.03 % (1275028)Termination phase: Finite model building constraint generation
% 45.15/7.03 % (1275028)Time elapsed: 0.340 s
% 45.15/7.03 % (1275028)Peak memory usage: 66 MB
% 45.15/7.03 % (1275028)Instructions burned: 921 (million)
% 45.15/7.03 % (1275137)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=807157853:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 45.15/7.03 % TRYING [9]
% 45.15/7.03 % TRYING [8]
% 45.15/7.03 % (1275137)Instruction limit reached!
% 45.15/7.03 % (1275137)------------------------------
% 45.15/7.03 % (1275137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275137)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275137)Termination reason: Instruction limit
% 45.15/7.03 % (1275137)Termination phase: Saturation
% 45.15/7.03 % (1275137)Time elapsed: 0.787 s
% 45.15/7.03 % (1275137)Peak memory usage: 34 MB
% 45.15/7.03 % (1275137)Instructions burned: 1474 (million)
% 45.15/7.03 % (1275186)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=756074239:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 45.15/7.03 % TRYING [77]
% 45.15/7.03 % TRYING [10]
% 45.15/7.03 % TRYING [9]
% 45.15/7.03 % (1275092)Instruction limit reached!
% 45.15/7.03 % (1275092)------------------------------
% 45.15/7.03 % (1275092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275092)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275092)Termination reason: Instruction limit
% 45.15/7.03 % (1275092)Termination phase: Saturation
% 45.15/7.03 % (1275092)Time elapsed: 2.641 s
% 45.15/7.03 % (1275092)Peak memory usage: 50 MB
% 45.15/7.03 % (1275092)Instructions burned: 5133 (million)
% 45.15/7.03 % (1275188)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=543319994:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 45.15/7.03 % TRYING [16]
% 45.15/7.03 % (1275026)Instruction limit reached!
% 45.15/7.03 % (1275026)------------------------------
% 45.15/7.03 % (1275026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275026)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275026)Termination reason: Instruction limit
% 45.15/7.03 % (1275026)Termination phase: Finite model building constraint generation
% 45.15/7.03 % (1275026)Time elapsed: 3.324 s
% 45.15/7.03 % (1275026)Peak memory usage: 573 MB
% 45.15/7.03 % (1275026)Instructions burned: 9516 (million)
% 45.15/7.03 % (1275190)ott-2_1_sil=16000:newcnf=on:random_seed=4073625504:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 45.15/7.03 % (1275186)Instruction limit reached!
% 45.15/7.03 % (1275186)------------------------------
% 45.15/7.03 % (1275186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275186)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275186)Termination reason: Instruction limit
% 45.15/7.03 % (1275186)Termination phase: Finite model building constraint generation
% 45.15/7.03 % (1275186)Time elapsed: 2.258 s
% 45.15/7.03 % (1275186)Peak memory usage: 423 MB
% 45.15/7.03 % (1275186)Instructions burned: 6327 (million)
% 45.15/7.03 % (1275192)ott+10_1_sil=32000:tgt=ground:random_seed=2351403002:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 45.15/7.03 % (1275188)Instruction limit reached!
% 45.15/7.03 % (1275188)------------------------------
% 45.15/7.03 % (1275188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275188)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275188)Termination reason: Instruction limit
% 45.15/7.03 % (1275188)Termination phase: Finite model building constraint generation
% 45.15/7.03 % (1275188)Time elapsed: 0.779 s
% 45.15/7.03 % (1275188)Peak memory usage: 146 MB
% 45.15/7.03 % (1275188)Instructions burned: 2174 (million)
% 45.15/7.03 % (1275194)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1226375944:i=54282_2951 on theBenchmark for (2951ds/54282Mi)
% 45.15/7.03 % TRYING [1]
% 45.15/7.03 % TRYING [2]
% 45.15/7.03 % TRYING [3]
% 45.15/7.03 % TRYING [4]
% 45.15/7.03 % TRYING [5]
% 45.15/7.03 % TRYING [6]
% 45.15/7.03 % (1275190)Instruction limit reached!
% 45.15/7.03 % (1275190)------------------------------
% 45.15/7.03 % (1275190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275190)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275190)Termination reason: Instruction limit
% 45.15/7.03 % (1275190)Termination phase: Saturation
% 45.15/7.03 % (1275190)Time elapsed: 0.497 s
% 45.15/7.03 % (1275190)Peak memory usage: 20 MB
% 45.15/7.03 % (1275190)Instructions burned: 869 (million)
% 45.15/7.03 % (1275196)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4174162741:i=3512:aac=none_2949 on theBenchmark for (2949ds/3512Mi)
% 45.15/7.03 % TRYING [7]
% 45.15/7.03 % TRYING [8]
% 45.15/7.03 % (1275022)Instruction limit reached!
% 45.15/7.03 % (1275022)------------------------------
% 45.15/7.03 % (1275022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275022)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275022)Termination reason: Instruction limit
% 45.15/7.03 % (1275022)Termination phase: Finite model building SAT solving
% 45.15/7.03 % (1275022)Time elapsed: 4.861 s
% 45.15/7.03 % (1275022)Peak memory usage: 153 MB
% 45.15/7.03 % (1275022)Instructions burned: 22065 (million)
% 45.15/7.03 % (1275198)dis+21_1_sil=32000:sas=cadical:random_seed=3305408742:i=3773:amm=off_2942 on theBenchmark for (2942ds/3773Mi)
% 45.15/7.03 % TRYING [9]
% 45.15/7.03 % (1275192) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1274965-1275192"...
% 45.15/7.03 % (1275192)...printing done.
% 45.15/7.03 % (1275192)Refutation found. Thanks to Tanya!
% 45.15/7.03 % SZS status Theorem for theBenchmark
% 45.15/7.03 % SZS output start Proof for theBenchmark
% See solution above
% 45.15/7.03 % (1275192)------------------------------
% 45.15/7.03 % (1275192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.15/7.03 % (1275192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.03 % (1275192)CaDiCaL version: 2.1.3
% 45.15/7.03 % (1275192)Termination reason: Refutation
% 45.15/7.03 % (1275192)Time elapsed: 1.828 s
% 45.15/7.03 % (1275192)Peak memory usage: 32 MB
% 45.15/7.03 % (1275192)Instructions burned: 3325 (million)
% 45.15/7.03 % (1274965)Success in time 6.603 s
% 45.15/7.03 % Vampire exiting
%------------------------------------------------------------------------------