%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG045+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 : n011.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 12:35:51 PM UTC 2026
% Result : Theorem 2.84s 0.97s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 157 ( 51 unt; 19 def)
% Number of atoms : 358 ( 92 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 373 ( 172 ~; 167 |; 21 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
( aScalar0(xx)
& aScalar0(xy)
& aScalar0(xu)
& aScalar0(xv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__674) ).
fof(f18,conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) = sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f19,negated_conjecture,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f23,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(flattening,[],[f19]) ).
fof(f30,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f32]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f38]) ).
fof(f47,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f49,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,plain,
aScalar0(xv),
inference(cnf_transformation,[],[f16]) ).
fof(f66,plain,
aScalar0(xu),
inference(cnf_transformation,[],[f16]) ).
fof(f67,plain,
aScalar0(xy),
inference(cnf_transformation,[],[f16]) ).
fof(f68,plain,
aScalar0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f70,plain,
sdtasdt0(sdtpldt0(xx,xy),sdtpldt0(xu,xv)) != sdtpldt0(sdtpldt0(sdtasdt0(xx,xu),sdtasdt0(xx,xv)),sdtpldt0(sdtasdt0(xy,xu),sdtasdt0(xy,xv))),
inference(cnf_transformation,[],[f23]) ).
fof(f71,definition,
sF1 = sdtpldt0(xx,xy),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f72,plain,
sdtpldt0(xx,xy) = sF1,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF2 = sdtpldt0(xu,xv),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f74,plain,
sdtpldt0(xu,xv) = sF2,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF3 = sdtasdt0(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f76,plain,
sdtasdt0(sF1,sF2) = sF3,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF4 = sdtasdt0(xx,xu),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f78,plain,
sdtasdt0(xx,xu) = sF4,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF5 = sdtasdt0(xx,xv),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f80,plain,
sdtasdt0(xx,xv) = sF5,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF6 = sdtpldt0(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f82,plain,
sdtpldt0(sF4,sF5) = sF6,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF7 = sdtasdt0(xy,xu),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f84,plain,
sdtasdt0(xy,xu) = sF7,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF8 = sdtasdt0(xy,xv),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f86,plain,
sdtasdt0(xy,xv) = sF8,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF9 = sdtpldt0(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f88,plain,
sdtpldt0(sF7,sF8) = sF9,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF10 = sdtpldt0(sF6,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f90,plain,
sdtpldt0(sF6,sF9) = sF10,
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
sF3 != sF10,
inference(definition_folding,[],[f70,f90,f88,f86,f84,f82,f80,f78,f76,f74,f72]) ).
fof(f93,definition,
( spl11_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f94,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl11_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f97,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f59,f96,f93]) ).
fof(f100,definition,
( spl11_3
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f101,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f61,f100,f93]) ).
fof(f149,plain,
( aScalar0(sF1)
| ~ aScalar0(xx)
| ~ aScalar0(xy) ),
inference(superposition,[],[f48,f72]) ).
fof(f150,plain,
( aScalar0(sF2)
| ~ aScalar0(xu)
| ~ aScalar0(xv) ),
inference(superposition,[],[f48,f74]) ).
fof(f151,plain,
( aScalar0(sF6)
| ~ aScalar0(sF4)
| ~ aScalar0(sF5) ),
inference(superposition,[],[f48,f82]) ).
fof(f153,plain,
( aScalar0(sF9)
| ~ aScalar0(sF7)
| ~ aScalar0(sF8) ),
inference(superposition,[],[f48,f88]) ).
fof(f155,definition,
( spl11_5
<=> aScalar0(sF8) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f157,plain,
( ~ aScalar0(sF8)
| spl11_5 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl11_6
<=> aScalar0(sF7) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f163,definition,
( spl11_7
<=> aScalar0(sF9) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f165,plain,
( aScalar0(sF9)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( ~ spl11_5
| ~ spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f153,f163,f159,f155]) ).
fof(f168,definition,
( spl11_8
<=> aScalar0(sF6) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f169,plain,
( aScalar0(sF6)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f177,definition,
( spl11_10
<=> aScalar0(sF5) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f181,definition,
( spl11_11
<=> aScalar0(sF4) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f183,plain,
( ~ aScalar0(sF4)
| spl11_11 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,plain,
( ~ spl11_10
| ~ spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f151,f168,f181,f177]) ).
fof(f185,plain,
( aScalar0(sF2)
| ~ aScalar0(xv) ),
inference(forward_subsumption_resolution,[],[f150,f66]) ).
fof(f186,plain,
( aScalar0(sF1)
| ~ aScalar0(xy) ),
inference(forward_subsumption_resolution,[],[f149,f68]) ).
fof(f187,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f185,f65]) ).
fof(f188,plain,
aScalar0(sF1),
inference(forward_subsumption_resolution,[],[f186,f67]) ).
fof(f201,plain,
( aScalar0(sF4)
| ~ aScalar0(xx)
| ~ aScalar0(xu) ),
inference(superposition,[],[f49,f78]) ).
fof(f202,plain,
( aScalar0(sF5)
| ~ aScalar0(xx)
| ~ aScalar0(xv) ),
inference(superposition,[],[f49,f80]) ).
fof(f203,plain,
( aScalar0(sF7)
| ~ aScalar0(xy)
| ~ aScalar0(xu) ),
inference(superposition,[],[f49,f84]) ).
fof(f204,plain,
( aScalar0(sF8)
| ~ aScalar0(xy)
| ~ aScalar0(xv) ),
inference(superposition,[],[f49,f86]) ).
fof(f207,plain,
( ~ aScalar0(xy)
| ~ aScalar0(xv)
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f204,f157]) ).
fof(f208,plain,
( aScalar0(sF7)
| ~ aScalar0(xu) ),
inference(forward_subsumption_resolution,[],[f203,f67]) ).
fof(f209,plain,
( aScalar0(sF5)
| ~ aScalar0(xv) ),
inference(forward_subsumption_resolution,[],[f202,f68]) ).
fof(f210,plain,
( ~ aScalar0(xx)
| ~ aScalar0(xu)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f201,f183]) ).
fof(f212,plain,
( ~ aScalar0(xv)
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f207,f67]) ).
fof(f213,plain,
aScalar0(sF7),
inference(forward_subsumption_resolution,[],[f208,f66]) ).
fof(f214,plain,
aScalar0(sF5),
inference(forward_subsumption_resolution,[],[f209,f65]) ).
fof(f215,plain,
( ~ aScalar0(xu)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f210,f68]) ).
fof(f216,plain,
( $false
| spl11_5 ),
inference(forward_subsumption_resolution,[],[f212,f65]) ).
fof(f217,plain,
spl11_5,
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f218,plain,
spl11_6,
inference(avatar_split_clause,[],[f213,f159]) ).
fof(f219,plain,
spl11_10,
inference(avatar_split_clause,[],[f214,f177]) ).
fof(f220,plain,
( $false
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f215,f66]) ).
fof(f221,plain,
spl11_11,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f278,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) )
| ~ spl11_2 ),
inference(resolution,[],[f97,f68]) ).
fof(f279,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xy) = sdtasdt0(xy,X0) )
| ~ spl11_2 ),
inference(resolution,[],[f97,f67]) ).
fof(f282,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF1) = sdtasdt0(sF1,X0) )
| ~ spl11_2 ),
inference(resolution,[],[f97,f188]) ).
fof(f299,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,xx) = sdtpldt0(xx,X0) )
| ~ spl11_3 ),
inference(resolution,[],[f101,f68]) ).
fof(f308,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF9) = sdtpldt0(sF9,X0) )
| ~ spl11_3
| ~ spl11_7 ),
inference(resolution,[],[f101,f165]) ).
fof(f399,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(X1,xx)) ),
inference(resolution,[],[f63,f68]) ).
fof(f400,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X1,xy)) ),
inference(resolution,[],[f63,f67]) ).
fof(f418,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,xx)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,xx)) ),
inference(resolution,[],[f64,f68]) ).
fof(f511,plain,
( sdtasdt0(xx,xu) = sdtasdt0(xu,xx)
| ~ spl11_2 ),
inference(resolution,[],[f278,f66]) ).
fof(f512,plain,
( sdtasdt0(xx,xv) = sdtasdt0(xv,xx)
| ~ spl11_2 ),
inference(resolution,[],[f278,f65]) ).
fof(f523,plain,
( sF5 = sdtasdt0(xv,xx)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f512,f80]) ).
fof(f524,plain,
( sF4 = sdtasdt0(xu,xx)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f511,f78]) ).
fof(f533,plain,
( sdtasdt0(xy,xu) = sdtasdt0(xu,xy)
| ~ spl11_2 ),
inference(resolution,[],[f279,f66]) ).
fof(f534,plain,
( sdtasdt0(xy,xv) = sdtasdt0(xv,xy)
| ~ spl11_2 ),
inference(resolution,[],[f279,f65]) ).
fof(f545,plain,
( sF8 = sdtasdt0(xv,xy)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f534,f86]) ).
fof(f546,plain,
( sF7 = sdtasdt0(xu,xy)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f533,f84]) ).
fof(f598,plain,
( sdtpldt0(xx,xy) = sdtpldt0(xy,xx)
| ~ spl11_3 ),
inference(resolution,[],[f299,f67]) ).
fof(f611,plain,
( sF1 = sdtpldt0(xy,xx)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f598,f72]) ).
fof(f1460,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xx) = sdtpldt0(sdtasdt0(X0,xx),sdtasdt0(xv,xx)) ),
inference(resolution,[],[f399,f65]) ).
fof(f1473,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xx) = sdtpldt0(sdtasdt0(X0,xx),sF5) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f1460,f523]) ).
fof(f1485,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xy) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(xv,xy)) ),
inference(resolution,[],[f400,f65]) ).
fof(f1498,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xv),xy) = sdtpldt0(sdtasdt0(X0,xy),sF8) )
| ~ spl11_2 ),
inference(forward_demodulation,[],[f1485,f545]) ).
fof(f1556,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xy,xx)) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xx)) ),
inference(resolution,[],[f418,f67]) ).
fof(f1573,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF1) = sdtpldt0(sdtasdt0(X0,xy),sdtasdt0(X0,xx)) )
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1556,f611]) ).
fof(f2196,plain,
( sdtasdt0(sF1,sF2) = sdtasdt0(sF2,sF1)
| ~ spl11_2 ),
inference(resolution,[],[f282,f187]) ).
fof(f2205,plain,
( sF3 = sdtasdt0(sF2,sF1)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f2196,f76]) ).
fof(f3195,plain,
( sdtpldt0(sF6,sF9) = sdtpldt0(sF9,sF6)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(resolution,[],[f308,f169]) ).
fof(f3200,plain,
( sF10 = sdtpldt0(sF9,sF6)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f3195,f90]) ).
fof(f17809,plain,
( sdtasdt0(sdtpldt0(xu,xv),xx) = sdtpldt0(sdtasdt0(xu,xx),sF5)
| ~ spl11_2 ),
inference(resolution,[],[f1473,f66]) ).
fof(f17828,plain,
( sdtpldt0(sF4,sF5) = sdtasdt0(sdtpldt0(xu,xv),xx)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f17809,f524]) ).
fof(f17840,plain,
( sdtpldt0(sF4,sF5) = sdtasdt0(sF2,xx)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f17828,f74]) ).
fof(f17847,plain,
( sF6 = sdtasdt0(sF2,xx)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f17840,f82]) ).
fof(f17980,plain,
( sdtasdt0(sdtpldt0(xu,xv),xy) = sdtpldt0(sdtasdt0(xu,xy),sF8)
| ~ spl11_2 ),
inference(resolution,[],[f1498,f66]) ).
fof(f17999,plain,
( sdtpldt0(sF7,sF8) = sdtasdt0(sdtpldt0(xu,xv),xy)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f17980,f546]) ).
fof(f18008,plain,
( sdtpldt0(sF7,sF8) = sdtasdt0(sF2,xy)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f17999,f74]) ).
fof(f18015,plain,
( sF9 = sdtasdt0(sF2,xy)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f18008,f88]) ).
fof(f19824,plain,
( sdtasdt0(sF2,sF1) = sdtpldt0(sdtasdt0(sF2,xy),sdtasdt0(sF2,xx))
| ~ spl11_3 ),
inference(resolution,[],[f1573,f187]) ).
fof(f19841,plain,
( sdtasdt0(sF2,sF1) = sdtpldt0(sdtasdt0(sF2,xy),sF6)
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f19824,f17847]) ).
fof(f19858,plain,
( sdtasdt0(sF2,sF1) = sdtpldt0(sF9,sF6)
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f19841,f18015]) ).
fof(f19872,plain,
( sF10 = sdtasdt0(sF2,sF1)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f19858,f3200]) ).
fof(f19882,plain,
( sF3 = sF10
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_demodulation,[],[f19872,f2205]) ).
fof(f19884,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f19882,f91]) ).
fof(f19885,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(avatar_contradiction_clause,[],[f19884]) ).
fof(f20292,plain,
( $false
| ~ spl11_1 ),
inference(resolution,[],[f94,f47]) ).
fof(f20338,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f20292]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f98]) ).
cnf(s2,plain,
( spl11_1
| spl11_3 ),
inference(sat_conversion,[],[f102]) ).
cnf(s4,plain,
( ~ spl11_5
| ~ spl11_6
| spl11_7 ),
inference(sat_conversion,[],[f166]) ).
cnf(s6,plain,
( spl11_8
| ~ spl11_10
| ~ spl11_11 ),
inference(sat_conversion,[],[f184]) ).
cnf(s7,plain,
spl11_5,
inference(sat_conversion,[],[f217]) ).
cnf(s8,plain,
spl11_6,
inference(sat_conversion,[],[f218]) ).
cnf(s9,plain,
spl11_10,
inference(sat_conversion,[],[f219]) ).
cnf(s10,plain,
spl11_11,
inference(sat_conversion,[],[f221]) ).
cnf(s20,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8 ),
inference(sat_conversion,[],[f19885]) ).
cnf(s42,plain,
~ spl11_1,
inference(sat_conversion,[],[f20338]) ).
cnf(s45,plain,
spl11_8,
inference(rat,[],[s6,s10,s9]) ).
cnf(s47,plain,
spl11_7,
inference(rat,[],[s4,s8,s7]) ).
cnf(s50,plain,
spl11_3,
inference(rat,[],[s2,s42]) ).
cnf(s51,plain,
~ spl11_2,
inference(rat,[],[s20,s45,s47,s50]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s1,s51,s42]) ).
fof(f20339,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG045+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 23:02:30 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 2.84/0.97 % (2867011)Will run a generic schedule for satisfiability detection.
% 2.84/0.97 % (2867019)dis+10_1_sil=32000:sp=arity:random_seed=4203044834:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.84/0.97 % (2867017)% WARNING: option uhcvi not known.
% 2.84/0.97 % (2867020)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2034162563:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.84/0.97 % (2867016)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2172571731_2999 on theBenchmark for (2999ds/0Mi)
% 2.84/0.97 % (2867017)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3158060321:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.84/0.97 % (2867022)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2665977618:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.84/0.97 % (2867018)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=999515057:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.84/0.97 % (2867021)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1905015738:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.84/0.97 % TRYING [1]
% 2.84/0.97 % TRYING [2]
% 2.84/0.97 % TRYING [3]
% 2.84/0.97 % TRYING [4]
% 2.84/0.97 % TRYING [5]
% 2.84/0.97 % (2867019)Instruction limit reached!
% 2.84/0.97 % (2867019)------------------------------
% 2.84/0.97 % (2867019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867019)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867019)Termination reason: Instruction limit
% 2.84/0.97 % (2867019)Termination phase: Saturation
% 2.84/0.97 % (2867019)Time elapsed: 0.034 s
% 2.84/0.97 % (2867019)Peak memory usage: 12 MB
% 2.84/0.97 % (2867019)Instructions burned: 106 (million)
% 2.84/0.97 % (2867030)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=795123374:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.84/0.97 % TRYING [1]
% 2.84/0.97 % TRYING [2]
% 2.84/0.97 % TRYING [3]
% 2.84/0.97 % TRYING [4]
% 2.84/0.97 % (2867022)Instruction limit reached!
% 2.84/0.97 % (2867022)------------------------------
% 2.84/0.97 % (2867022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867022)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867022)Termination reason: Instruction limit
% 2.84/0.97 % (2867022)Termination phase: Saturation
% 2.84/0.97 % (2867022)Time elapsed: 0.065 s
% 2.84/0.97 % (2867022)Peak memory usage: 14 MB
% 2.84/0.97 % (2867022)Instructions burned: 159 (million)
% 2.84/0.97 % (2867020)Instruction limit reached!
% 2.84/0.97 % (2867020)------------------------------
% 2.84/0.97 % (2867020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867020)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867020)Termination reason: Instruction limit
% 2.84/0.97 % (2867020)Termination phase: Saturation
% 2.84/0.97 % (2867020)Time elapsed: 0.068 s
% 2.84/0.97 % (2867020)Peak memory usage: 13 MB
% 2.84/0.97 % (2867020)Instructions burned: 117 (million)
% 2.84/0.97 % (2867021)Instruction limit reached!
% 2.84/0.97 % (2867021)------------------------------
% 2.84/0.97 % (2867021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867021)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867021)Termination reason: Instruction limit
% 2.84/0.97 % (2867021)Termination phase: Saturation
% 2.84/0.97 % (2867021)Time elapsed: 0.067 s
% 2.84/0.97 % (2867021)Peak memory usage: 14 MB
% 2.84/0.97 % (2867021)Instructions burned: 131 (million)
% 2.84/0.97 % TRYING [6]
% 2.84/0.97 % TRYING [5]
% 2.84/0.97 % (2867032)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3548699294:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.84/0.97 % (2867033)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=186296519:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.84/0.97 % (2867034)ott-21_1_sil=16000:fs=off:random_seed=1378009026:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.84/0.97 % (2867032)Instruction limit reached!
% 2.84/0.97 % (2867032)------------------------------
% 2.84/0.97 % (2867032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867032)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867032)Termination reason: Instruction limit
% 2.84/0.97 % (2867032)Termination phase: Saturation
% 2.84/0.97 % (2867032)Time elapsed: 0.031 s
% 2.84/0.97 % (2867032)Peak memory usage: 12 MB
% 2.84/0.97 % (2867032)Instructions burned: 133 (million)
% 2.84/0.97 % TRYING [6]
% 2.84/0.97 % (2867038)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3999801272:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.84/0.97 % (2867034)Instruction limit reached!
% 2.84/0.97 % (2867034)------------------------------
% 2.84/0.97 % (2867034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867034)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867034)Termination reason: Instruction limit
% 2.84/0.97 % (2867034)Termination phase: Saturation
% 2.84/0.97 % (2867034)Time elapsed: 0.083 s
% 2.84/0.97 % (2867034)Peak memory usage: 13 MB
% 2.84/0.97 % (2867034)Instructions burned: 180 (million)
% 2.84/0.97 % TRYING [7]
% 2.84/0.97 % (2867040)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1923591510:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.84/0.97 % TRYING [1]
% 2.84/0.97 % TRYING [2]
% 2.84/0.97 % TRYING [3]
% 2.84/0.97 % TRYING [7]
% 2.84/0.97 % TRYING [4]
% 2.84/0.97 % (2867038)Instruction limit reached!
% 2.84/0.97 % (2867038)------------------------------
% 2.84/0.97 % (2867038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867038)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867038)Termination reason: Instruction limit
% 2.84/0.97 % (2867038)Termination phase: Saturation
% 2.84/0.97 % (2867038)Time elapsed: 0.132 s
% 2.84/0.97 % (2867038)Peak memory usage: 14 MB
% 2.84/0.97 % (2867038)Instructions burned: 480 (million)
% 2.84/0.97 % TRYING [5]
% 2.84/0.97 % (2867042)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1969847976:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.84/0.97 % (2867030)Instruction limit reached!
% 2.84/0.97 % (2867030)------------------------------
% 2.84/0.97 % (2867030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867030)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867030)Termination reason: Instruction limit
% 2.84/0.97 % (2867030)Termination phase: Finite model building constraint generation
% 2.84/0.97 % (2867030)Time elapsed: 0.245 s
% 2.84/0.97 % (2867030)Peak memory usage: 33 MB
% 2.84/0.97 % (2867030)Instructions burned: 716 (million)
% 2.84/0.97 % (2867044)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2000401124:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 2.84/0.97 % TRYING [8]
% 2.84/0.97 % TRYING [6]
% 2.84/0.97 % TRYING [14]
% 2.84/0.97 % (2867033)Instruction limit reached!
% 2.84/0.97 % (2867033)------------------------------
% 2.84/0.97 % (2867033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867033)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867033)Termination reason: Instruction limit
% 2.84/0.97 % (2867033)Termination phase: Saturation
% 2.84/0.97 % (2867033)Time elapsed: 0.367 s
% 2.84/0.97 % (2867033)Peak memory usage: 19 MB
% 2.84/0.97 % (2867033)Instructions burned: 685 (million)
% 2.84/0.97 % (2867046)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=2746319348:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.84/0.97 % (2867042) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2867011-2867042"...
% 2.84/0.97 % (2867042)...printing done.
% 2.84/0.97 % (2867042)Refutation found. Thanks to Tanya!
% 2.84/0.97 % SZS status Theorem for theBenchmark
% 2.84/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/0.97 % (2867042)------------------------------
% 2.84/0.97 % (2867042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.97 % (2867042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.97 % (2867042)CaDiCaL version: 2.1.3
% 2.84/0.97 % (2867042)Termination reason: Refutation
% 2.84/0.97 % (2867042)Time elapsed: 0.249 s
% 2.84/0.97 % (2867042)Peak memory usage: 27 MB
% 2.84/0.97 % (2867042)Instructions burned: 867 (million)
% 2.84/0.97 % (2867011)Success in time 0.566 s
% 2.84/0.97 % Vampire exiting
%------------------------------------------------------------------------------