%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG068+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:35:22 PM UTC 2026
% Result : Theorem 22.71s 4.11s
% Output : Refutation 23.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 36
% Syntax : Number of formulae : 232 ( 71 unt; 22 def)
% Number of atoms : 727 ( 104 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 954 ( 459 ~; 451 |; 26 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn 101 !; 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(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(f57,axiom,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
fof(f58,axiom,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2104) ).
fof(f60,axiom,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,xS)),xN) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xS),xN)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2510) ).
fof(f61,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f62,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(negated_conjecture,[status(cth)],[f61]) ).
fof(f68,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(flattening,[],[f62]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f76,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f77]) ).
fof(f81,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(f82,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,[],[f81]) ).
fof(f83,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(f84,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,[],[f83]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f96]) ).
fof(f137,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f149,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f153,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,[],[f84]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f97]) ).
fof(f211,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f213,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f216,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f217,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f219,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf_transformation,[],[f57]) ).
fof(f220,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f58]) ).
fof(f222,plain,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,xS)),xN) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xS),xN)),
inference(cnf_transformation,[],[f60]) ).
fof(f223,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference(cnf_transformation,[],[f68]) ).
fof(f227,definition,
sF2 = sdtasdt0(xP,xP),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f228,plain,
sdtasdt0(xP,xP) = sF2,
inference(reorient_equations,[],[f227]) ).
fof(f229,definition,
sF3 = sdtpldt0(sF2,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f230,plain,
sdtpldt0(sF2,sF2) = sF3,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF4 = sdtpldt0(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f232,plain,
sdtpldt0(sF3,sF3) = sF4,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF5 = sdtasdt0(xR,xR),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f234,plain,
sdtasdt0(xR,xR) = sF5,
inference(reorient_equations,[],[f233]) ).
fof(f235,definition,
sF6 = sdtasdt0(xR,xS),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f236,plain,
sdtasdt0(xR,xS) = sF6,
inference(reorient_equations,[],[f235]) ).
fof(f237,definition,
sF7 = sdtpldt0(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f238,plain,
sdtpldt0(sF5,sF6) = sF7,
inference(reorient_equations,[],[f237]) ).
fof(f239,definition,
sF8 = sdtasdt0(xS,xR),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f240,plain,
sdtasdt0(xS,xR) = sF8,
inference(reorient_equations,[],[f239]) ).
fof(f241,definition,
sF9 = sdtasdt0(xS,xS),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f242,plain,
sdtasdt0(xS,xS) = sF9,
inference(reorient_equations,[],[f241]) ).
fof(f243,definition,
sF10 = sdtpldt0(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f244,plain,
sdtpldt0(sF8,sF9) = sF10,
inference(reorient_equations,[],[f243]) ).
fof(f245,definition,
sF11 = sdtpldt0(sF7,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f246,plain,
sdtpldt0(sF7,sF10) = sF11,
inference(reorient_equations,[],[f245]) ).
fof(f247,plain,
~ sdtlseqdt0(sF4,sF11),
inference(definition_folding,[],[f223,f246,f244,f242,f240,f238,f236,f234,f232,f230,f228,f228,f230,f228,f228]) ).
fof(f249,definition,
( spl12_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f250,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f252,definition,
( spl12_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f253,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f149,f252,f249]) ).
fof(f256,definition,
( spl12_3
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f151,f256,f249]) ).
fof(f264,plain,
xN = sF6,
inference(forward_demodulation,[],[f236,f216]) ).
fof(f266,plain,
( aScalar0(sF3)
| ~ aScalar0(sF2)
| ~ aScalar0(sF2) ),
inference(superposition,[],[f138,f230]) ).
fof(f267,plain,
( aScalar0(sF3)
| ~ aScalar0(sF2) ),
inference(duplicate_literal_removal,[],[f266]) ).
fof(f270,definition,
( spl12_5
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f271,plain,
( aScalar0(sF2)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f272,plain,
( ~ aScalar0(sF2)
| spl12_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl12_6
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f276,plain,
( aScalar0(sF3)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( ~ spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f267,f274,f270]) ).
fof(f289,definition,
( spl12_9
<=> aScalar0(sF7) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f290,plain,
( aScalar0(sF7)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f297,plain,
( aScalar0(sF7)
| ~ aScalar0(sF5)
| ~ aScalar0(sF6) ),
inference(superposition,[],[f138,f238]) ).
fof(f298,plain,
( ~ aScalar0(xN)
| aScalar0(sF7)
| ~ aScalar0(sF5) ),
inference(forward_demodulation,[],[f297,f264]) ).
fof(f299,plain,
( aScalar0(sF7)
| ~ aScalar0(sF5) ),
inference(forward_subsumption_resolution,[],[f298,f217]) ).
fof(f301,definition,
( spl12_11
<=> aScalar0(sF5) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f302,plain,
( aScalar0(sF5)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( ~ aScalar0(sF5)
| spl12_11 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,plain,
( ~ spl12_11
| spl12_9 ),
inference(avatar_split_clause,[],[f299,f289,f301]) ).
fof(f308,definition,
( spl12_12
<=> aScalar0(sF9) ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
fof(f309,plain,
( aScalar0(sF9)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( ~ aScalar0(sF9)
| spl12_12 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,definition,
( spl12_13
<=> aScalar0(sF8) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f313,plain,
( aScalar0(sF8)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f316,plain,
sF7 = sdtpldt0(sF5,xN),
inference(superposition,[],[f238,f264]) ).
fof(f317,plain,
( aScalar0(sF2)
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(superposition,[],[f139,f228]) ).
fof(f318,plain,
( aScalar0(sF9)
| ~ aScalar0(xS)
| ~ aScalar0(xS) ),
inference(superposition,[],[f139,f242]) ).
fof(f319,plain,
( aScalar0(sF8)
| ~ aScalar0(xS)
| ~ aScalar0(xR) ),
inference(superposition,[],[f139,f240]) ).
fof(f320,plain,
( aScalar0(sF5)
| ~ aScalar0(xR)
| ~ aScalar0(xR) ),
inference(superposition,[],[f139,f234]) ).
fof(f321,plain,
( aScalar0(sF5)
| ~ aScalar0(xR) ),
inference(duplicate_literal_removal,[],[f320]) ).
fof(f322,plain,
( aScalar0(sF9)
| ~ aScalar0(xS) ),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f323,plain,
( aScalar0(sF2)
| ~ aScalar0(xP) ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f324,plain,
( ~ aScalar0(xR)
| spl12_11 ),
inference(forward_subsumption_resolution,[],[f321,f303]) ).
fof(f325,plain,
( aScalar0(sF8)
| ~ aScalar0(xR) ),
inference(forward_subsumption_resolution,[],[f319,f215]) ).
fof(f326,plain,
( ~ aScalar0(xS)
| spl12_12 ),
inference(forward_subsumption_resolution,[],[f322,f310]) ).
fof(f327,plain,
( ~ aScalar0(xP)
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f323,f272]) ).
fof(f328,plain,
( $false
| spl12_11 ),
inference(forward_subsumption_resolution,[],[f324,f211]) ).
fof(f329,plain,
spl12_11,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f330,plain,
aScalar0(sF8),
inference(forward_subsumption_resolution,[],[f325,f211]) ).
fof(f331,plain,
( $false
| spl12_12 ),
inference(forward_subsumption_resolution,[],[f326,f215]) ).
fof(f332,plain,
spl12_12,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f333,plain,
( $false
| spl12_5 ),
inference(forward_subsumption_resolution,[],[f327,f213]) ).
fof(f334,plain,
spl12_5,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f335,plain,
spl12_13,
inference(avatar_split_clause,[],[f330,f312]) ).
fof(f337,plain,
! [X0,X1] :
( sdtlseqdt0(sF3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sF2,X0)
| ~ sdtlseqdt0(sF2,X1)
| ~ aScalar0(sF2)
| ~ aScalar0(X0)
| ~ aScalar0(sF2)
| ~ aScalar0(X1) ),
inference(superposition,[],[f162,f230]) ).
fof(f338,plain,
! [X0,X1] :
( sdtlseqdt0(sF4,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sF3,X0)
| ~ sdtlseqdt0(sF3,X1)
| ~ aScalar0(sF3)
| ~ aScalar0(X0)
| ~ aScalar0(sF3)
| ~ aScalar0(X1) ),
inference(superposition,[],[f162,f232]) ).
fof(f351,plain,
! [X0,X1] :
( sdtlseqdt0(sF4,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sF3,X0)
| ~ sdtlseqdt0(sF3,X1)
| ~ aScalar0(sF3)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f338]) ).
fof(f352,plain,
! [X0,X1] :
( sdtlseqdt0(sF3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sF2,X0)
| ~ sdtlseqdt0(sF2,X1)
| ~ aScalar0(sF2)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f363,plain,
( ! [X0,X1] :
( sdtlseqdt0(sF4,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sF3,X0)
| ~ sdtlseqdt0(sF3,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f351,f276]) ).
fof(f364,plain,
( ! [X0,X1] :
( sdtlseqdt0(sF3,sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sF2,X0)
| ~ sdtlseqdt0(sF2,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) )
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f352,f271]) ).
fof(f462,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sF9)),
inference(superposition,[],[f220,f242]) ).
fof(f463,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sF5,sF9)),
inference(forward_demodulation,[],[f462,f234]) ).
fof(f466,plain,
sdtlseqdt0(sdtpldt0(sF2,sF2),sdtpldt0(sF5,sF9)),
inference(forward_demodulation,[],[f463,f228]) ).
fof(f469,plain,
sdtlseqdt0(sF3,sdtpldt0(sF5,sF9)),
inference(forward_demodulation,[],[f466,f230]) ).
fof(f478,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF8) = sdtpldt0(sF8,X0) )
| ~ spl12_3
| ~ spl12_13 ),
inference(resolution,[],[f257,f313]) ).
fof(f479,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF9) = sdtpldt0(sF9,X0) )
| ~ spl12_3
| ~ spl12_12 ),
inference(resolution,[],[f257,f309]) ).
fof(f480,plain,
sdtlseqdt0(sF2,xN),
inference(superposition,[],[f219,f228]) ).
fof(f567,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),sF8) = sdtpldt0(X0,sdtpldt0(X1,sF8)) )
| ~ spl12_13 ),
inference(resolution,[],[f152,f313]) ).
fof(f788,plain,
( sdtpldt0(sF5,sF9) = sdtpldt0(sF9,sF5)
| ~ spl12_3
| ~ spl12_11
| ~ spl12_12 ),
inference(resolution,[],[f479,f302]) ).
fof(f789,plain,
( sdtpldt0(sF7,sF9) = sdtpldt0(sF9,sF7)
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12 ),
inference(resolution,[],[f479,f290]) ).
fof(f790,plain,
( sdtpldt0(sF8,sF9) = sdtpldt0(sF9,sF8)
| ~ spl12_3
| ~ spl12_12
| ~ spl12_13 ),
inference(resolution,[],[f479,f313]) ).
fof(f794,plain,
( sF10 = sdtpldt0(sF9,sF8)
| ~ spl12_3
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f790,f244]) ).
fof(f846,plain,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sF9),xN) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sF9,xN)),
inference(superposition,[],[f222,f242]) ).
fof(f857,plain,
sdtpldt0(sdtpldt0(sdtpldt0(sF5,xN),sF9),xN) = sdtpldt0(sdtpldt0(sF5,xN),sdtpldt0(sF9,xN)),
inference(forward_demodulation,[],[f846,f234]) ).
fof(f863,plain,
sdtpldt0(sdtpldt0(sF7,sF9),xN) = sdtpldt0(sF7,sdtpldt0(sF9,xN)),
inference(forward_demodulation,[],[f857,f316]) ).
fof(f890,definition,
( spl12_53
<=> aScalar0(sdtpldt0(sF7,sF9)) ),
introduced(definition,[new_symbols(definition,[spl12_53])],[avatar_definition]) ).
fof(f891,plain,
( aScalar0(sdtpldt0(sF7,sF9))
| ~ spl12_53 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f892,plain,
( ~ aScalar0(sdtpldt0(sF7,sF9))
| spl12_53 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f920,plain,
( ~ aScalar0(sF7)
| ~ aScalar0(sF9)
| spl12_53 ),
inference(resolution,[],[f892,f138]) ).
fof(f921,plain,
( ~ aScalar0(sF9)
| ~ spl12_9
| spl12_53 ),
inference(forward_subsumption_resolution,[],[f920,f290]) ).
fof(f922,plain,
( $false
| ~ spl12_9
| ~ spl12_12
| spl12_53 ),
inference(forward_subsumption_resolution,[],[f921,f309]) ).
fof(f923,plain,
( ~ spl12_9
| ~ spl12_12
| spl12_53 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f1124,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sdtpldt0(sF7,sF9)) = sdtpldt0(sdtpldt0(sF7,sF9),X0) )
| ~ spl12_3
| ~ spl12_53 ),
inference(resolution,[],[f891,f257]) ).
fof(f1125,plain,
( sdtpldt0(sdtpldt0(sF7,sF9),sF8) = sdtpldt0(sF8,sdtpldt0(sF7,sF9))
| ~ spl12_3
| ~ spl12_13
| ~ spl12_53 ),
inference(resolution,[],[f891,f478]) ).
fof(f1211,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xN) = sdtpldt0(X0,sdtpldt0(X1,xN)) ),
inference(resolution,[],[f217,f152]) ).
fof(f1215,plain,
( sdtpldt0(sF9,xN) = sdtpldt0(xN,sF9)
| ~ spl12_3
| ~ spl12_12 ),
inference(resolution,[],[f217,f479]) ).
fof(f1406,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xR) = sdtasdt0(xR,X0) )
| ~ spl12_2 ),
inference(resolution,[],[f253,f211]) ).
fof(f1508,definition,
( spl12_106
<=> aScalar0(sdtpldt0(sF5,sF9)) ),
introduced(definition,[new_symbols(definition,[spl12_106])],[avatar_definition]) ).
fof(f1509,plain,
( aScalar0(sdtpldt0(sF5,sF9))
| ~ spl12_106 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1510,plain,
( ~ aScalar0(sdtpldt0(sF5,sF9))
| spl12_106 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1795,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,sF8),sF8) = sdtpldt0(X0,sdtpldt0(sF8,sF8)) )
| ~ spl12_13 ),
inference(resolution,[],[f567,f313]) ).
fof(f1796,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,sF9),sF8) = sdtpldt0(X0,sdtpldt0(sF9,sF8)) )
| ~ spl12_12
| ~ spl12_13 ),
inference(resolution,[],[f567,f309]) ).
fof(f1801,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF10) = sdtpldt0(sdtpldt0(X0,sF9),sF8) )
| ~ spl12_3
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1796,f794]) ).
fof(f2201,plain,
( sdtpldt0(sF7,sF10) = sdtpldt0(sdtpldt0(sF7,sF9),sF8)
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(resolution,[],[f1801,f290]) ).
fof(f2209,plain,
( sdtpldt0(sF7,sF10) = sdtpldt0(sF8,sdtpldt0(sF7,sF9))
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53 ),
inference(forward_demodulation,[],[f2201,f1125]) ).
fof(f2217,plain,
( sF11 = sdtpldt0(sF8,sdtpldt0(sF7,sF9))
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53 ),
inference(forward_demodulation,[],[f2209,f246]) ).
fof(f2389,plain,
( sdtpldt0(sdtpldt0(sF7,sF9),xN) = sdtpldt0(xN,sdtpldt0(sF7,sF9))
| ~ spl12_3
| ~ spl12_53 ),
inference(resolution,[],[f1124,f217]) ).
fof(f2399,plain,
( sdtpldt0(sF7,sdtpldt0(sF9,xN)) = sdtpldt0(xN,sdtpldt0(sF7,sF9))
| ~ spl12_3
| ~ spl12_53 ),
inference(forward_demodulation,[],[f2389,f863]) ).
fof(f2401,plain,
( sdtpldt0(sF7,sdtpldt0(xN,sF9)) = sdtpldt0(xN,sdtpldt0(sF7,sF9))
| ~ spl12_3
| ~ spl12_12
| ~ spl12_53 ),
inference(forward_demodulation,[],[f2399,f1215]) ).
fof(f2955,plain,
( sdtasdt0(xR,xS) = sdtasdt0(xS,xR)
| ~ spl12_2 ),
inference(resolution,[],[f1406,f215]) ).
fof(f2966,plain,
( sdtasdt0(xR,xS) = sF8
| ~ spl12_2 ),
inference(forward_demodulation,[],[f2955,f240]) ).
fof(f2968,plain,
( xN = sF8
| ~ spl12_2 ),
inference(forward_demodulation,[],[f2966,f216]) ).
fof(f2976,plain,
( sF11 = sdtpldt0(xN,sdtpldt0(sF7,sF9))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53 ),
inference(superposition,[],[f2217,f2968]) ).
fof(f2982,plain,
( $false
| ~ spl12_1 ),
inference(resolution,[],[f250,f137]) ).
fof(f3031,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f2982]) ).
fof(f4871,plain,
( ~ aScalar0(sF5)
| ~ aScalar0(sF9)
| spl12_106 ),
inference(resolution,[],[f1510,f138]) ).
fof(f4872,plain,
( ~ aScalar0(sF9)
| ~ spl12_11
| spl12_106 ),
inference(forward_subsumption_resolution,[],[f4871,f302]) ).
fof(f4873,plain,
( $false
| ~ spl12_11
| ~ spl12_12
| spl12_106 ),
inference(forward_subsumption_resolution,[],[f4872,f309]) ).
fof(f4874,plain,
( ~ spl12_11
| ~ spl12_12
| spl12_106 ),
inference(avatar_contradiction_clause,[],[f4873]) ).
fof(f4908,plain,
( sdtpldt0(sdtpldt0(sF5,sF9),sF8) = sdtpldt0(sF8,sdtpldt0(sF5,sF9))
| ~ spl12_3
| ~ spl12_13
| ~ spl12_106 ),
inference(resolution,[],[f1509,f478]) ).
fof(f4982,plain,
( sdtpldt0(sdtpldt0(sF5,sF9),xN) = sdtpldt0(xN,sdtpldt0(sF5,sF9))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f4908,f2968]) ).
fof(f5538,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,sF5),xN) = sdtpldt0(X0,sdtpldt0(sF5,xN)) )
| ~ spl12_11 ),
inference(resolution,[],[f1211,f302]) ).
fof(f5549,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sF7) = sdtpldt0(sdtpldt0(X0,sF5),xN) )
| ~ spl12_11 ),
inference(forward_demodulation,[],[f5538,f316]) ).
fof(f5592,plain,
( sdtpldt0(sF9,sF7) = sdtpldt0(sdtpldt0(sF9,sF5),xN)
| ~ spl12_11
| ~ spl12_12 ),
inference(resolution,[],[f5549,f309]) ).
fof(f5597,plain,
( sdtpldt0(sdtpldt0(sF5,sF9),xN) = sdtpldt0(sF9,sF7)
| ~ spl12_3
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f5592,f788]) ).
fof(f5611,plain,
( sdtpldt0(sdtpldt0(sF5,sF9),xN) = sdtpldt0(sF7,sF9)
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f5597,f789]) ).
fof(f5621,plain,
( sdtpldt0(sF7,sF9) = sdtpldt0(xN,sdtpldt0(sF5,sF9))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f5611,f4982]) ).
fof(f12194,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(X1,xS)) ),
inference(resolution,[],[f153,f215]) ).
fof(f12237,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xR),xS) = sdtpldt0(sdtasdt0(X0,xS),sdtasdt0(xR,xS)) ),
inference(resolution,[],[f12194,f211]) ).
fof(f12254,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,xR),xS) = sdtpldt0(sdtasdt0(X0,xS),xN) ),
inference(forward_demodulation,[],[f12237,f216]) ).
fof(f12402,plain,
sdtasdt0(sdtpldt0(xR,xR),xS) = sdtpldt0(sdtasdt0(xR,xS),xN),
inference(resolution,[],[f12254,f211]) ).
fof(f12421,plain,
sdtpldt0(xN,xN) = sdtasdt0(sdtpldt0(xR,xR),xS),
inference(forward_demodulation,[],[f12402,f216]) ).
fof(f13146,definition,
( spl12_435
<=> aScalar0(sdtpldt0(xR,xR)) ),
introduced(definition,[new_symbols(definition,[spl12_435])],[avatar_definition]) ).
fof(f13147,plain,
( aScalar0(sdtpldt0(xR,xR))
| ~ spl12_435 ),
inference(avatar_component_clause,[],[f13146]) ).
fof(f13148,plain,
( ~ aScalar0(sdtpldt0(xR,xR))
| spl12_435 ),
inference(avatar_component_clause,[],[f13146]) ).
fof(f13158,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| spl12_435 ),
inference(resolution,[],[f13148,f138]) ).
fof(f13159,plain,
( ~ aScalar0(xR)
| spl12_435 ),
inference(duplicate_literal_removal,[],[f13158]) ).
fof(f13160,plain,
( $false
| spl12_435 ),
inference(forward_subsumption_resolution,[],[f13159,f211]) ).
fof(f13161,plain,
spl12_435,
inference(avatar_contradiction_clause,[],[f13160]) ).
fof(f15631,plain,
( aScalar0(sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(xR,xR))
| ~ aScalar0(xS) ),
inference(superposition,[],[f139,f12421]) ).
fof(f15632,plain,
( aScalar0(sdtpldt0(xN,xN))
| ~ aScalar0(xS)
| ~ spl12_435 ),
inference(forward_subsumption_resolution,[],[f15631,f13147]) ).
fof(f15634,plain,
( aScalar0(sdtpldt0(xN,xN))
| ~ spl12_435 ),
inference(forward_subsumption_resolution,[],[f15632,f215]) ).
fof(f21271,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sF5,sF9),sF8),sF8) = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(sF8,sF8))
| ~ spl12_13
| ~ spl12_106 ),
inference(resolution,[],[f1795,f1509]) ).
fof(f21334,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sF5,sF9),xN),xN) = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21271,f2968]) ).
fof(f21375,plain,
( sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN)) = sdtpldt0(sdtpldt0(xN,sdtpldt0(sF5,sF9)),xN)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21334,f4982]) ).
fof(f21401,plain,
( sdtpldt0(sdtpldt0(sF7,sF9),xN) = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21375,f5621]) ).
fof(f21405,plain,
( sdtpldt0(sF7,sdtpldt0(sF9,xN)) = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21401,f863]) ).
fof(f21407,plain,
( sdtpldt0(sF7,sdtpldt0(xN,sF9)) = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21405,f1215]) ).
fof(f21408,plain,
( sdtpldt0(xN,sdtpldt0(sF7,sF9)) = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21407,f2401]) ).
fof(f21409,plain,
( sF11 = sdtpldt0(sdtpldt0(sF5,sF9),sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106 ),
inference(forward_demodulation,[],[f21408,f2976]) ).
fof(f21414,plain,
( sdtlseqdt0(sF4,sF11)
| ~ sdtlseqdt0(sF3,sdtpldt0(sF5,sF9))
| ~ sdtlseqdt0(sF3,sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sF5,sF9))
| ~ aScalar0(sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106 ),
inference(superposition,[],[f363,f21409]) ).
fof(f21436,plain,
( ~ sdtlseqdt0(sF3,sdtpldt0(sF5,sF9))
| ~ sdtlseqdt0(sF3,sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sF5,sF9))
| ~ aScalar0(sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106 ),
inference(forward_subsumption_resolution,[],[f21414,f247]) ).
fof(f21446,plain,
( ~ sdtlseqdt0(sF3,sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(sF5,sF9))
| ~ aScalar0(sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106 ),
inference(forward_subsumption_resolution,[],[f21436,f469]) ).
fof(f21472,plain,
( ~ sdtlseqdt0(sF3,sdtpldt0(xN,xN))
| ~ aScalar0(sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106 ),
inference(forward_subsumption_resolution,[],[f21446,f1509]) ).
fof(f21485,plain,
( ~ sdtlseqdt0(sF3,sdtpldt0(xN,xN))
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(forward_subsumption_resolution,[],[f21472,f15634]) ).
fof(f21488,plain,
( ~ sdtlseqdt0(sF2,xN)
| ~ sdtlseqdt0(sF2,xN)
| ~ aScalar0(xN)
| ~ aScalar0(xN)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(resolution,[],[f21485,f364]) ).
fof(f21489,plain,
( ~ sdtlseqdt0(sF2,xN)
| ~ aScalar0(xN)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(duplicate_literal_removal,[],[f21488]) ).
fof(f21490,plain,
( ~ aScalar0(xN)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(forward_subsumption_resolution,[],[f21489,f480]) ).
fof(f21491,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(forward_subsumption_resolution,[],[f21490,f217]) ).
fof(f21492,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(avatar_contradiction_clause,[],[f21491]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f254]) ).
cnf(s2,plain,
( spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f258]) ).
cnf(s4,plain,
( ~ spl12_5
| spl12_6 ),
inference(sat_conversion,[],[f277]) ).
cnf(s7,plain,
( spl12_9
| ~ spl12_11 ),
inference(sat_conversion,[],[f304]) ).
cnf(s9,plain,
spl12_11,
inference(sat_conversion,[],[f329]) ).
cnf(s10,plain,
spl12_12,
inference(sat_conversion,[],[f332]) ).
cnf(s11,plain,
spl12_5,
inference(sat_conversion,[],[f334]) ).
cnf(s12,plain,
spl12_13,
inference(sat_conversion,[],[f335]) ).
cnf(s35,plain,
( ~ spl12_9
| ~ spl12_12
| spl12_53 ),
inference(sat_conversion,[],[f923]) ).
cnf(s128,plain,
~ spl12_1,
inference(sat_conversion,[],[f3031]) ).
cnf(s185,plain,
( ~ spl12_11
| ~ spl12_12
| spl12_106 ),
inference(sat_conversion,[],[f4874]) ).
cnf(s390,plain,
spl12_435,
inference(sat_conversion,[],[f13161]) ).
cnf(s601,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13
| ~ spl12_53
| ~ spl12_106
| ~ spl12_435 ),
inference(sat_conversion,[],[f21492]) ).
cnf(s643,plain,
spl12_106,
inference(rat,[],[s185,s10,s9]) ).
cnf(s646,plain,
spl12_9,
inference(rat,[],[s7,s9]) ).
cnf(s647,plain,
spl12_53,
inference(rat,[],[s35,s10,s646]) ).
cnf(s657,plain,
spl12_6,
inference(rat,[],[s4,s11]) ).
cnf(s666,plain,
spl12_3,
inference(rat,[],[s2,s128]) ).
cnf(s667,plain,
~ spl12_2,
inference(rat,[],[s601,s390,s643,s647,s12,s10,s9,s646,s657,s11,s666]) ).
cnf(s687,plain,
$false,
inference(rat,[],[s1,s667,s128]) ).
fof(f21493,plain,
$false,
inference(avatar_sat_refutation,[],[s687]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG068+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n014.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:08:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.71/4.11 % (1276935)Detected formulas, will run a generic FOF schedule.
% 22.71/4.11 % (1276977)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2213592824:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 22.71/4.11 % (1276983)dis-21_1_sil=8000:lcm=predicate:random_seed=3133162517:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 22.71/4.11 % (1276979)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4004868520:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 22.71/4.11 % (1276982)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2157537167:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 22.71/4.11 % (1276980)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3466229438:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 22.71/4.11 % (1276981)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4145890369:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 22.71/4.11 % (1276978)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3033290256:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 22.71/4.11 % (1276983)Instruction limit reached!
% 22.71/4.11 % (1276983)------------------------------
% 22.71/4.11 % (1276983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276983)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276983)Termination reason: Instruction limit
% 22.71/4.11 % (1276983)Termination phase: Saturation
% 22.71/4.11 % (1276983)Time elapsed: 0.072 s
% 22.71/4.11 % (1276983)Peak memory usage: 89 MB
% 22.71/4.11 % (1276983)Instructions burned: 130 (million)
% 22.71/4.11 % (1276980)Instruction limit reached!
% 22.71/4.11 % (1276980)------------------------------
% 22.71/4.11 % (1276980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276980)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276980)Termination reason: Instruction limit
% 22.71/4.11 % (1276980)Termination phase: Saturation
% 22.71/4.11 % (1276980)Time elapsed: 0.099 s
% 22.71/4.11 % (1276980)Peak memory usage: 89 MB
% 22.71/4.11 % (1276980)Instructions burned: 110 (million)
% 22.71/4.11 % (1276981)Instruction limit reached!
% 22.71/4.11 % (1276981)------------------------------
% 22.71/4.11 % (1276981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276981)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276981)Termination reason: Instruction limit
% 22.71/4.11 % (1276981)Termination phase: Saturation
% 22.71/4.11 % (1276981)Time elapsed: 0.109 s
% 22.71/4.11 % (1276981)Peak memory usage: 88 MB
% 22.71/4.11 % (1276981)Instructions burned: 120 (million)
% 22.71/4.11 % (1276982)Instruction limit reached!
% 22.71/4.11 % (1276982)------------------------------
% 22.71/4.11 % (1276982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276982)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276982)Termination reason: Instruction limit
% 22.71/4.11 % (1276982)Termination phase: Saturation
% 22.71/4.11 % (1276982)Time elapsed: 0.125 s
% 22.71/4.11 % (1276982)Peak memory usage: 90 MB
% 22.71/4.11 % (1276982)Instructions burned: 139 (million)
% 22.71/4.11 % (1276995)lrs+10_1_sil=8000:sp=occurrence:random_seed=3681419174:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 22.71/4.11 % (1276999)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3417466950:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 22.71/4.11 % (1276998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2956737877:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 22.71/4.11 % (1277000)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4243914136:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 22.71/4.11 % (1276998)Instruction limit reached!
% 22.71/4.11 % (1276998)------------------------------
% 22.71/4.11 % (1276998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276998)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276998)Termination reason: Instruction limit
% 22.71/4.11 % (1276998)Termination phase: Saturation
% 22.71/4.11 % (1276998)Time elapsed: 0.132 s
% 22.71/4.11 % (1276998)Peak memory usage: 91 MB
% 22.71/4.11 % (1276998)Instructions burned: 158 (million)
% 22.71/4.11 % (1276995)Instruction limit reached!
% 22.71/4.11 % (1276995)------------------------------
% 22.71/4.11 % (1276995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276995)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276995)Termination reason: Instruction limit
% 22.71/4.11 % (1276995)Termination phase: Saturation
% 22.71/4.11 % (1276995)Time elapsed: 0.279 s
% 22.71/4.11 % (1276995)Peak memory usage: 94 MB
% 22.71/4.11 % (1276995)Instructions burned: 286 (million)
% 22.71/4.11 % (1277000)Instruction limit reached!
% 22.71/4.11 % (1277000)------------------------------
% 22.71/4.11 % (1277000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277000)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277000)Termination reason: Instruction limit
% 22.71/4.11 % (1277000)Termination phase: Saturation
% 22.71/4.11 % (1277000)Time elapsed: 0.201 s
% 22.71/4.11 % (1277000)Peak memory usage: 94 MB
% 22.71/4.11 % (1277000)Instructions burned: 249 (million)
% 22.71/4.11 % (1276999)Instruction limit reached!
% 22.71/4.11 % (1276999)------------------------------
% 22.71/4.11 % (1276999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1276999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1276999)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1276999)Termination reason: Instruction limit
% 22.71/4.11 % (1276999)Termination phase: Saturation
% 22.71/4.11 % (1276999)Time elapsed: 0.267 s
% 22.71/4.11 % (1276999)Peak memory usage: 93 MB
% 22.71/4.11 % (1276999)Instructions burned: 325 (million)
% 22.71/4.11 % (1277009)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=218508246:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 22.71/4.11 % (1277010)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=903623420:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 22.71/4.11 % (1277012)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3471568707:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 22.71/4.11 % (1277011)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1345220555:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 22.71/4.11 % (1277012)Instruction limit reached!
% 22.71/4.11 % (1277012)------------------------------
% 22.71/4.11 % (1277012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277012)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277012)Termination reason: Instruction limit
% 22.71/4.11 % (1277012)Termination phase: Saturation
% 22.71/4.11 % (1277012)Time elapsed: 0.114 s
% 22.71/4.11 % (1277012)Peak memory usage: 89 MB
% 22.71/4.11 % (1277012)Instructions burned: 127 (million)
% 22.71/4.11 % (1277011)Instruction limit reached!
% 22.71/4.11 % (1277011)------------------------------
% 22.71/4.11 % (1277011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277011)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277011)Termination reason: Instruction limit
% 22.71/4.11 % (1277011)Termination phase: Saturation
% 22.71/4.11 % (1277011)Time elapsed: 0.116 s
% 22.71/4.11 % (1277011)Peak memory usage: 91 MB
% 22.71/4.11 % (1277011)Instructions burned: 114 (million)
% 22.71/4.11 % (1277009)Instruction limit reached!
% 22.71/4.11 % (1277009)------------------------------
% 22.71/4.11 % (1277009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277009)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277009)Termination reason: Instruction limit
% 22.71/4.11 % (1277009)Termination phase: Saturation
% 22.71/4.11 % (1277009)Time elapsed: 0.291 s
% 22.71/4.11 % (1277009)Peak memory usage: 90 MB
% 22.71/4.11 % (1277009)Instructions burned: 294 (million)
% 22.71/4.11 % (1277021)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=382538693:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 22.71/4.11 % (1277021)Refutation not found, incomplete strategy
% 22.71/4.11 % (1277021)------------------------------
% 22.71/4.11 % (1277021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277021)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277021)Termination reason: Refutation not found, incomplete strategy
% 22.71/4.11 % (1277021)Time elapsed: 0.007 s
% 22.71/4.11 % (1277021)Peak memory usage: 88 MB
% 22.71/4.11 % (1277021)Instructions burned: 4 (million)
% 22.71/4.11 % (1277023)lrs+10_1_sil=8000:sp=occurrence:random_seed=483834045:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 22.71/4.11 % (1277025)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=448550335:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 22.71/4.11 % (1277021)------------------------------
% 22.71/4.11 % (1277021)------------------------------
% 22.71/4.11 % (1277025)Instruction limit reached!
% 22.71/4.11 % (1277025)------------------------------
% 22.71/4.11 % (1277025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277025)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277025)Termination reason: Instruction limit
% 22.71/4.11 % (1277025)Termination phase: Saturation
% 22.71/4.11 % (1277025)Time elapsed: 0.423 s
% 22.71/4.11 % (1277025)Peak memory usage: 94 MB
% 22.71/4.11 % (1277025)Instructions burned: 438 (million)
% 22.71/4.11 % (1277032)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3049108282:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 22.71/4.11 % (1277023)Instruction limit reached!
% 22.71/4.11 % (1277023)------------------------------
% 22.71/4.11 % (1277023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277023)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277023)Termination reason: Instruction limit
% 22.71/4.11 % (1277023)Termination phase: Saturation
% 22.71/4.11 % (1277023)Time elapsed: 0.829 s
% 22.71/4.11 % (1277023)Peak memory usage: 103 MB
% 22.71/4.11 % (1277023)Instructions burned: 908 (million)
% 22.71/4.11 % (1277034)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3356091704:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 22.71/4.11 % (1277034)Instruction limit reached!
% 22.71/4.11 % (1277034)------------------------------
% 22.71/4.11 % (1277034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277034)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277034)Termination reason: Instruction limit
% 22.71/4.11 % (1277034)Termination phase: Saturation
% 22.71/4.11 % (1277034)Time elapsed: 0.109 s
% 22.71/4.11 % (1277034)Peak memory usage: 91 MB
% 22.71/4.11 % (1277034)Instructions burned: 134 (million)
% 22.71/4.11 % (1277037)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3736593260:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 22.71/4.11 % (1277038)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2374791102:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 22.71/4.11 % (1276977)First to succeed.
% 22.71/4.11 % (1276977)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1276935"
% 22.71/4.11 % (1277037)Instruction limit reached!
% 22.71/4.11 % (1277037)------------------------------
% 22.71/4.11 % (1277037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.71/4.11 % (1277037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.71/4.11 % (1277037)CaDiCaL version: 2.1.3
% 22.71/4.11 % (1277037)Termination reason: Instruction limit
% 22.71/4.11 % (1277037)Termination phase: Saturation
% 22.71/4.11 % (1277037)Time elapsed: 0.509 s
% 22.71/4.11 % (1277037)Peak memory usage: 93 MB
% 22.71/4.11 % (1277037)Instructions burned: 592 (million)
% 22.71/4.11 % (1276977)Refutation found. Thanks to Tanya!
% 22.71/4.11 % SZS status Theorem for theBenchmark
% 22.71/4.11 % SZS output start Proof for theBenchmark
% See solution above
% 23.33/4.36 % (1276977)------------------------------
% 23.33/4.36 % (1276977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.33/4.36 % (1276977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.33/4.36 % (1276977)CaDiCaL version: 2.1.3
% 23.33/4.36 % (1276977)Termination reason: Refutation
% 23.33/4.36 % (1276977)Time elapsed: 2.729 s
% 23.33/4.36 % (1276977)Peak memory usage: 170 MB
% 23.33/4.36 % (1276977)Instructions burned: 4713 (million)
% 23.33/4.36 % (1276977)------------------------------
% 23.33/4.36 % (1276977)------------------------------
% 23.33/4.36 % (1276935)Success in time 3.203 s
% 23.33/4.36 % Vampire exiting
%------------------------------------------------------------------------------