%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM494+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 : n008.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 12:24:32 PM UTC 2026
% Result : Theorem 4.98s 1.15s
% Output : Refutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 114 ( 30 unt; 9 def)
% Number of atoms : 366 ( 90 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 464 ( 212 ~; 207 |; 29 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
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(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonAdd) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f42,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f44,axiom,
( xr != xn
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1894) ).
fof(f46,conjecture,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
~ ( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f50]) ).
fof(f67,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(f68,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,[],[f67]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f87,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f86]) ).
fof(f116,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f120,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f120]) ).
fof(f135,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f149,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f160,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f167,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f200,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f201,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f202,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f206,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f207,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f208,plain,
sdtlseqdt0(xr,xn),
inference(cnf_transformation,[],[f44]) ).
fof(f209,plain,
xn != xr,
inference(cnf_transformation,[],[f44]) ).
fof(f211,plain,
( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f214,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f160]) ).
fof(f224,definition,
sF4 = sdtpldt0(xn,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f225,plain,
sdtpldt0(xn,xm) = sF4,
inference(reorient_equations,[],[f224]) ).
fof(f226,definition,
sF5 = sdtpldt0(sF4,xp),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f227,plain,
sdtpldt0(sF4,xp) = sF5,
inference(reorient_equations,[],[f226]) ).
fof(f228,definition,
sF6 = sdtpldt0(xr,xm),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f229,plain,
sdtpldt0(xr,xm) = sF6,
inference(reorient_equations,[],[f228]) ).
fof(f230,definition,
sF7 = sdtpldt0(sF6,xp),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f231,plain,
sdtpldt0(sF6,xp) = sF7,
inference(reorient_equations,[],[f230]) ).
fof(f232,plain,
( sF5 = sF7
| ~ sdtlseqdt0(sF7,sF5) ),
inference(definition_folding,[],[f211,f227,f225,f231,f229,f231,f229,f227,f225]) ).
fof(f235,definition,
( spl8_1
<=> sdtlseqdt0(sF7,sF5) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f237,plain,
( ~ sdtlseqdt0(sF7,sF5)
| spl8_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl8_2
<=> sF5 = sF7 ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f241,plain,
( sF5 = sF7
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f232,f239,f235]) ).
fof(f263,plain,
sF6 = sdtpldt0(sdtmndt0(xn,xp),xm),
inference(forward_demodulation,[],[f229,f207]) ).
fof(f264,plain,
xn != sdtmndt0(xn,xp),
inference(superposition,[],[f209,f207]) ).
fof(f265,plain,
sdtlseqdt0(sdtmndt0(xn,xp),xn),
inference(superposition,[],[f208,f207]) ).
fof(f306,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f135,f263]) ).
fof(f307,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f135,f225]) ).
fof(f315,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f307,f202]) ).
fof(f316,plain,
( aNaturalNumber0(sF6)
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f306,f201]) ).
fof(f318,definition,
( spl8_7
<=> aNaturalNumber0(sF6) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f319,plain,
( aNaturalNumber0(sF6)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f327,definition,
( spl8_9
<=> aNaturalNumber0(sF4) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
fof(f328,plain,
( aNaturalNumber0(sF4)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f335,plain,
aNaturalNumber0(sF4),
inference(forward_subsumption_resolution,[],[f315,f201]) ).
fof(f337,definition,
( spl8_11
<=> aNaturalNumber0(sdtmndt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl8_11])],[avatar_definition]) ).
fof(f338,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl8_11 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f340,plain,
( ~ spl8_11
| spl8_7 ),
inference(avatar_split_clause,[],[f316,f318,f337]) ).
fof(f341,plain,
spl8_9,
inference(avatar_split_clause,[],[f335,f327]) ).
fof(f461,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f214,f206]) ).
fof(f474,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f461,f339]) ).
fof(f476,plain,
( ~ aNaturalNumber0(xn)
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f474,f200]) ).
fof(f478,plain,
( $false
| spl8_11 ),
inference(forward_subsumption_resolution,[],[f476,f202]) ).
fof(f479,plain,
spl8_11,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f1456,plain,
! [X0] :
( sF4 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f149,f225]) ).
fof(f1461,plain,
! [X0] :
( sF7 != sdtpldt0(X0,xp)
| sF6 = X0
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF6) ),
inference(superposition,[],[f149,f231]) ).
fof(f1464,plain,
! [X0] :
( sF7 != sdtpldt0(X0,xp)
| sF6 = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF6) ),
inference(forward_subsumption_resolution,[],[f1461,f200]) ).
fof(f1469,plain,
! [X0] :
( sF4 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1456,f201]) ).
fof(f1484,plain,
( ! [X0] :
( sF7 != sdtpldt0(X0,xp)
| sF6 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1464,f319]) ).
fof(f1489,plain,
! [X0] :
( sF4 != sdtpldt0(X0,xm)
| xn = X0
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1469,f202]) ).
fof(f2275,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),sF4)
| ~ aNaturalNumber0(xm)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f167,f225]) ).
fof(f2279,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xp),sF5)
| ~ aNaturalNumber0(xp)
| sF4 = X0
| ~ sdtlseqdt0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF4) ),
inference(superposition,[],[f167,f227]) ).
fof(f2282,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xp),sF5)
| sF4 = X0
| ~ sdtlseqdt0(X0,sF4)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF4) ),
inference(forward_subsumption_resolution,[],[f2279,f200]) ).
fof(f2286,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),sF4)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f2275,f201]) ).
fof(f2306,plain,
( ! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xp),sF5)
| sF4 = X0
| ~ sdtlseqdt0(X0,sF4)
| ~ aNaturalNumber0(X0) )
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f2282,f328]) ).
fof(f2310,plain,
! [X0] :
( sdtlseqdt0(sdtpldt0(X0,xm),sF4)
| xn = X0
| ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f2286,f202]) ).
fof(f8893,plain,
( ! [X0] :
( sF5 != sdtpldt0(X0,xp)
| sF6 = X0
| ~ aNaturalNumber0(X0) )
| ~ spl8_2
| ~ spl8_7 ),
inference(forward_demodulation,[],[f1484,f241]) ).
fof(f9200,plain,
( sF5 != sF5
| sF4 = sF6
| ~ aNaturalNumber0(sF4)
| ~ spl8_2
| ~ spl8_7 ),
inference(superposition,[],[f8893,f227]) ).
fof(f9201,plain,
( sF4 = sF6
| ~ aNaturalNumber0(sF4)
| ~ spl8_2
| ~ spl8_7 ),
inference(trivial_inequality_removal,[],[f9200]) ).
fof(f9202,plain,
( sF4 = sF6
| ~ spl8_2
| ~ spl8_7
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f9201,f328]) ).
fof(f13180,plain,
( sF4 != sF6
| xn = sdtmndt0(xn,xp)
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) ),
inference(superposition,[],[f1489,f263]) ).
fof(f13181,plain,
( xn = sdtmndt0(xn,xp)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| ~ spl8_2
| ~ spl8_7
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f13180,f9202]) ).
fof(f13183,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| ~ spl8_2
| ~ spl8_7
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f13181,f264]) ).
fof(f13185,plain,
( $false
| ~ spl8_2
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f13183,f338]) ).
fof(f13186,plain,
( ~ spl8_2
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(avatar_contradiction_clause,[],[f13185]) ).
fof(f13277,plain,
( sF4 != sF6
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f13180,f264]) ).
fof(f13295,plain,
( sF4 != sF6
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f13277,f338]) ).
fof(f15496,plain,
( sdtlseqdt0(sF7,sF5)
| sF4 = sF6
| ~ sdtlseqdt0(sF6,sF4)
| ~ aNaturalNumber0(sF6)
| ~ spl8_9 ),
inference(superposition,[],[f2306,f231]) ).
fof(f15497,plain,
( sF4 = sF6
| ~ sdtlseqdt0(sF6,sF4)
| ~ aNaturalNumber0(sF6)
| spl8_1
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f15496,f237]) ).
fof(f15506,plain,
( ~ sdtlseqdt0(sF6,sF4)
| ~ aNaturalNumber0(sF6)
| spl8_1
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f15497,f13295]) ).
fof(f15510,plain,
( ~ sdtlseqdt0(sF6,sF4)
| spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f15506,f319]) ).
fof(f15541,plain,
( sdtlseqdt0(sF6,sF4)
| xn = sdtmndt0(xn,xp)
| ~ sdtlseqdt0(sdtmndt0(xn,xp),xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) ),
inference(superposition,[],[f2310,f263]) ).
fof(f15542,plain,
( xn = sdtmndt0(xn,xp)
| ~ sdtlseqdt0(sdtmndt0(xn,xp),xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f15541,f15510]) ).
fof(f15551,plain,
( ~ sdtlseqdt0(sdtmndt0(xn,xp),xn)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f15542,f264]) ).
fof(f15560,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f15551,f265]) ).
fof(f15569,plain,
( $false
| spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(forward_subsumption_resolution,[],[f15560,f338]) ).
fof(f15570,plain,
( spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(avatar_contradiction_clause,[],[f15569]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f242]) ).
cnf(s8,plain,
( spl8_7
| ~ spl8_11 ),
inference(sat_conversion,[],[f340]) ).
cnf(s9,plain,
spl8_9,
inference(sat_conversion,[],[f341]) ).
cnf(s15,plain,
spl8_11,
inference(sat_conversion,[],[f479]) ).
cnf(s319,plain,
( ~ spl8_2
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(sat_conversion,[],[f13186]) ).
cnf(s378,plain,
( spl8_1
| ~ spl8_7
| ~ spl8_9
| ~ spl8_11 ),
inference(sat_conversion,[],[f15570]) ).
cnf(s387,plain,
spl8_7,
inference(rat,[],[s8,s15]) ).
cnf(s388,plain,
spl8_1,
inference(rat,[],[s378,s15,s9,s387]) ).
cnf(s389,plain,
~ spl8_2,
inference(rat,[],[s319,s15,s9,s387]) ).
cnf(s411,plain,
$false,
inference(rat,[],[s1,s389,s388]) ).
fof(f15574,plain,
$false,
inference(avatar_sat_refutation,[],[s411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM494+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:11:39 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
% 4.98/1.15 % (1569263)Will run a generic schedule for satisfiability detection.
% 4.98/1.15 % (1569270)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4023901021:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.98/1.15 % (1569269)% WARNING: option uhcvi not known.
% 4.98/1.15 % (1569268)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1143732383_2999 on theBenchmark for (2999ds/0Mi)
% 4.98/1.15 % (1569269)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3489594819:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.98/1.15 % (1569271)dis+10_1_sil=32000:sp=arity:random_seed=1179802815:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.98/1.15 % (1569272)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3157403527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.98/1.15 % (1569273)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2287821571:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.98/1.15 % (1569274)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1819154021:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.98/1.15 % TRYING [1]
% 4.98/1.15 % TRYING [2]
% 4.98/1.15 % TRYING [3]
% 4.98/1.15 % TRYING [4]
% 4.98/1.15 % TRYING [5]
% 4.98/1.15 % (1569271)Instruction limit reached!
% 4.98/1.15 % (1569271)------------------------------
% 4.98/1.15 % (1569271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569271)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569271)Termination reason: Instruction limit
% 4.98/1.15 % (1569271)Termination phase: Saturation
% 4.98/1.15 % (1569271)Time elapsed: 0.064 s
% 4.98/1.15 % (1569271)Peak memory usage: 12 MB
% 4.98/1.15 % (1569271)Instructions burned: 103 (million)
% 4.98/1.15 % (1569272)Instruction limit reached!
% 4.98/1.15 % (1569272)------------------------------
% 4.98/1.15 % (1569272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569272)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569272)Termination reason: Instruction limit
% 4.98/1.15 % (1569272)Termination phase: Saturation
% 4.98/1.15 % (1569272)Time elapsed: 0.070 s
% 4.98/1.15 % (1569272)Peak memory usage: 13 MB
% 4.98/1.15 % (1569272)Instructions burned: 117 (million)
% 4.98/1.15 % (1569273)Instruction limit reached!
% 4.98/1.15 % (1569273)------------------------------
% 4.98/1.15 % (1569273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569273)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569273)Termination reason: Instruction limit
% 4.98/1.15 % (1569273)Termination phase: Saturation
% 4.98/1.15 % (1569273)Time elapsed: 0.078 s
% 4.98/1.15 % (1569273)Peak memory usage: 13 MB
% 4.98/1.15 % (1569273)Instructions burned: 132 (million)
% 4.98/1.15 % (1569282)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=52185583:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.98/1.15 % (1569283)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2192328489:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.98/1.15 % TRYING [1]
% 4.98/1.15 % TRYING [2]
% 4.98/1.15 % TRYING [3]
% 4.98/1.15 % (1569284)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=2121954192:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.98/1.15 % (1569274)Instruction limit reached!
% 4.98/1.15 % (1569274)------------------------------
% 4.98/1.15 % (1569274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569274)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569274)Termination reason: Instruction limit
% 4.98/1.15 % (1569274)Termination phase: Saturation
% 4.98/1.15 % (1569274)Time elapsed: 0.099 s
% 4.98/1.15 % (1569274)Peak memory usage: 14 MB
% 4.98/1.15 % (1569274)Instructions burned: 159 (million)
% 4.98/1.15 % TRYING [4]
% 4.98/1.15 % (1569288)ott-21_1_sil=16000:fs=off:random_seed=1423151108:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.98/1.15 % TRYING [6]
% 4.98/1.15 % TRYING [5]
% 4.98/1.15 % (1569283)Instruction limit reached!
% 4.98/1.15 % (1569283)------------------------------
% 4.98/1.15 % (1569283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569283)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569283)Termination reason: Instruction limit
% 4.98/1.15 % (1569283)Termination phase: Saturation
% 4.98/1.15 % (1569283)Time elapsed: 0.068 s
% 4.98/1.15 % (1569283)Peak memory usage: 12 MB
% 4.98/1.15 % (1569283)Instructions burned: 133 (million)
% 4.98/1.15 % (1569290)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4132920019:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.98/1.15 % (1569288)Instruction limit reached!
% 4.98/1.15 % (1569288)------------------------------
% 4.98/1.15 % (1569288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569288)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569288)Termination reason: Instruction limit
% 4.98/1.15 % (1569288)Termination phase: Saturation
% 4.98/1.15 % (1569288)Time elapsed: 0.091 s
% 4.98/1.15 % (1569288)Peak memory usage: 13 MB
% 4.98/1.15 % (1569288)Instructions burned: 180 (million)
% 4.98/1.15 % TRYING [6]
% 4.98/1.15 % (1569292)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2406514765:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.98/1.15 % TRYING [1]
% 4.98/1.15 % TRYING [2]
% 4.98/1.15 % TRYING [3]
% 4.98/1.15 % TRYING [4]
% 4.98/1.15 % TRYING [7]
% 4.98/1.15 % (1569282)Instruction limit reached!
% 4.98/1.15 % (1569282)------------------------------
% 4.98/1.15 % (1569282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569282)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569282)Termination reason: Instruction limit
% 4.98/1.15 % (1569282)Termination phase: Finite model building constraint generation
% 4.98/1.15 % (1569282)Time elapsed: 0.255 s
% 4.98/1.15 % (1569282)Peak memory usage: 33 MB
% 4.98/1.15 % (1569282)Instructions burned: 715 (million)
% 4.98/1.15 % TRYING [5]
% 4.98/1.15 % (1569294)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2692624090:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 4.98/1.15 % (1569284)Instruction limit reached!
% 4.98/1.15 % (1569284)------------------------------
% 4.98/1.15 % (1569284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569284)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569284)Termination reason: Instruction limit
% 4.98/1.15 % (1569284)Termination phase: Saturation
% 4.98/1.15 % (1569284)Time elapsed: 0.367 s
% 4.98/1.15 % (1569284)Peak memory usage: 20 MB
% 4.98/1.15 % (1569284)Instructions burned: 684 (million)
% 4.98/1.15 % (1569296)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2631097869:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.98/1.15 % (1569290)Instruction limit reached!
% 4.98/1.15 % (1569290)------------------------------
% 4.98/1.15 % (1569290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569290)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569290)Termination reason: Instruction limit
% 4.98/1.15 % (1569290)Termination phase: Saturation
% 4.98/1.15 % (1569290)Time elapsed: 0.310 s
% 4.98/1.15 % (1569290)Peak memory usage: 15 MB
% 4.98/1.15 % (1569290)Instructions burned: 477 (million)
% 4.98/1.15 % (1569298)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=27313694: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)
% 4.98/1.15 % TRYING [6]
% 4.98/1.15 % (1569292)Instruction limit reached!
% 4.98/1.15 % (1569292)------------------------------
% 4.98/1.15 % (1569292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569292)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569292)Termination reason: Instruction limit
% 4.98/1.15 % (1569292)Termination phase: Finite model building constraint generation
% 4.98/1.15 % (1569292)Time elapsed: 0.347 s
% 4.98/1.15 % (1569292)Peak memory usage: 22 MB
% 4.98/1.15 % (1569292)Instructions burned: 867 (million)
% 4.98/1.15 % (1569300)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3484650661:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.98/1.15 % TRYING [14]
% 4.98/1.15 % (1569294) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1569263-1569294"...
% 4.98/1.15 % (1569294)...printing done.
% 4.98/1.15 % (1569294)Refutation found. Thanks to Tanya!
% 4.98/1.15 % SZS status Theorem for theBenchmark
% 4.98/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 4.98/1.15 % (1569294)------------------------------
% 4.98/1.15 % (1569294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.98/1.15 % (1569294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.15 % (1569294)CaDiCaL version: 2.1.3
% 4.98/1.15 % (1569294)Termination reason: Refutation
% 4.98/1.15 % (1569294)Time elapsed: 0.327 s
% 4.98/1.15 % (1569294)Peak memory usage: 19 MB
% 4.98/1.15 % (1569294)Instructions burned: 569 (million)
% 4.98/1.15 % (1569263)Success in time 0.735 s
% 4.98/1.15 % Vampire exiting
%------------------------------------------------------------------------------