%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG060+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:20 PM UTC 2026
% Result : Theorem 6.43s 2.03s
% Output : Refutation 8.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 105 ( 41 unt; 13 def)
% Number of atoms : 241 ( 80 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 251 ( 115 ~; 107 |; 21 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 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(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
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(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f58,axiom,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
fof(f59,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f66,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(flattening,[],[f60]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f79,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(f80,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,[],[f79]) ).
fof(f81,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(f82,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,[],[f81]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f138,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f152,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,[],[f82]) ).
fof(f209,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f213,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f218,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f220,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f221,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf_transformation,[],[f66]) ).
fof(f225,definition,
sF2 = smndt0(xS),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f226,plain,
smndt0(xS) = sF2,
inference(reorient_equations,[],[f225]) ).
fof(f227,definition,
sF3 = sdtpldt0(xR,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f228,plain,
sdtpldt0(xR,sF2) = sF3,
inference(reorient_equations,[],[f227]) ).
fof(f229,definition,
sF4 = sdtasdt0(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f230,plain,
sdtasdt0(sF3,sF3) = sF4,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF5 = sdtasdt0(xR,xR),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f232,plain,
sdtasdt0(xR,xR) = sF5,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF6 = smndt0(xN),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f234,plain,
smndt0(xN) = sF6,
inference(reorient_equations,[],[f233]) ).
fof(f235,definition,
sF7 = sdtpldt0(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f236,plain,
sdtpldt0(sF5,sF6) = sF7,
inference(reorient_equations,[],[f235]) ).
fof(f237,definition,
sF8 = sdtasdt0(xS,xS),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f238,plain,
sdtasdt0(xS,xS) = sF8,
inference(reorient_equations,[],[f237]) ).
fof(f239,definition,
sF9 = sdtpldt0(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f240,plain,
sdtpldt0(sF6,sF8) = sF9,
inference(reorient_equations,[],[f239]) ).
fof(f241,definition,
sF10 = sdtpldt0(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f242,plain,
sdtpldt0(sF7,sF9) = sF10,
inference(reorient_equations,[],[f241]) ).
fof(f243,plain,
sF4 != sF10,
inference(definition_folding,[],[f221,f242,f240,f238,f234,f236,f234,f232,f230,f228,f226,f228,f226]) ).
fof(f245,definition,
( spl11_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f246,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,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(f249,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f250,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f147,f248,f245]) ).
fof(f260,plain,
( aScalar0(sF3)
| ~ aScalar0(xR)
| ~ aScalar0(sF2) ),
inference(superposition,[],[f136,f228]) ).
fof(f291,plain,
( aScalar0(sF3)
| ~ aScalar0(sF2) ),
inference(forward_subsumption_resolution,[],[f260,f209]) ).
fof(f293,definition,
( spl11_11
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f294,plain,
( aScalar0(sF2)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( ~ aScalar0(sF2)
| spl11_11 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl11_12
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f299,plain,
( aScalar0(sF3)
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( ~ spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f291,f297,f293]) ).
fof(f301,plain,
smndt0(xN) = sdtasdt0(xR,sF2),
inference(superposition,[],[f220,f226]) ).
fof(f302,plain,
sF6 = sdtasdt0(xR,sF2),
inference(forward_demodulation,[],[f301,f234]) ).
fof(f381,plain,
( aScalar0(sF2)
| ~ aScalar0(xS) ),
inference(superposition,[],[f138,f226]) ).
fof(f384,plain,
( ~ aScalar0(xS)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f381,f295]) ).
fof(f387,plain,
( $false
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f384,f213]) ).
fof(f388,plain,
spl11_11,
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f393,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sF3,X0) )
| ~ spl11_2
| ~ spl11_12 ),
inference(resolution,[],[f299,f249]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sF2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sF2)) )
| ~ spl11_11 ),
inference(resolution,[],[f294,f152]) ).
fof(f418,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sF2,X0) )
| ~ spl11_2
| ~ spl11_11 ),
inference(resolution,[],[f294,f249]) ).
fof(f494,plain,
( sdtasdt0(xR,sF3) = sdtasdt0(sF3,xR)
| ~ spl11_2
| ~ spl11_12 ),
inference(resolution,[],[f393,f209]) ).
fof(f496,plain,
( sdtasdt0(sF2,sF3) = sdtasdt0(sF3,sF2)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(resolution,[],[f393,f294]) ).
fof(f572,plain,
( sdtasdt0(xR,sF2) = sdtasdt0(sF2,xR)
| ~ spl11_2
| ~ spl11_11 ),
inference(resolution,[],[f418,f209]) ).
fof(f583,plain,
( sF6 = sdtasdt0(sF2,xR)
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f572,f302]) ).
fof(f630,plain,
sdtasdt0(xS,xS) = sdtasdt0(sF2,sF2),
inference(superposition,[],[f218,f226]) ).
fof(f634,plain,
sF8 = sdtasdt0(sF2,sF2),
inference(forward_demodulation,[],[f630,f238]) ).
fof(f848,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xR,sF2)) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X0,sF2)) )
| ~ spl11_11 ),
inference(resolution,[],[f417,f209]) ).
fof(f866,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X0,sF2)) )
| ~ spl11_11 ),
inference(forward_demodulation,[],[f848,f228]) ).
fof(f873,plain,
( sdtasdt0(xR,sF3) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,sF2))
| ~ spl11_11 ),
inference(resolution,[],[f866,f209]) ).
fof(f875,plain,
( sdtasdt0(sF2,sF3) = sdtpldt0(sdtasdt0(sF2,xR),sdtasdt0(sF2,sF2))
| ~ spl11_11 ),
inference(resolution,[],[f866,f294]) ).
fof(f876,plain,
( sdtasdt0(sF3,sF3) = sdtpldt0(sdtasdt0(sF3,xR),sdtasdt0(sF3,sF2))
| ~ spl11_11
| ~ spl11_12 ),
inference(resolution,[],[f866,f299]) ).
fof(f891,plain,
( sF4 = sdtpldt0(sdtasdt0(sF3,xR),sdtasdt0(sF3,sF2))
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f876,f230]) ).
fof(f892,plain,
( sdtasdt0(sF2,sF3) = sdtpldt0(sdtasdt0(sF2,xR),sF8)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f875,f634]) ).
fof(f894,plain,
( sdtasdt0(xR,sF3) = sdtpldt0(sdtasdt0(xR,xR),sF6)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f873,f302]) ).
fof(f901,plain,
( sdtpldt0(sF6,sF8) = sdtasdt0(sF2,sF3)
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f892,f583]) ).
fof(f903,plain,
( sdtpldt0(sF5,sF6) = sdtasdt0(xR,sF3)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f894,f232]) ).
fof(f906,plain,
( sdtpldt0(sF6,sF8) = sdtasdt0(sF3,sF2)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f901,f496]) ).
fof(f908,plain,
( sdtpldt0(sF5,sF6) = sdtasdt0(sF3,xR)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f903,f494]) ).
fof(f909,plain,
( sF9 = sdtasdt0(sF3,sF2)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f906,f240]) ).
fof(f910,plain,
( sF7 = sdtasdt0(sF3,xR)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f908,f236]) ).
fof(f913,plain,
( sF4 = sdtpldt0(sF7,sdtasdt0(sF3,sF2))
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f891,f910]) ).
fof(f917,plain,
( sF4 = sdtpldt0(sF7,sF9)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f913,f909]) ).
fof(f919,plain,
( sF4 = sF10
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f917,f242]) ).
fof(f922,plain,
( $false
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_subsumption_resolution,[],[f919,f243]) ).
fof(f923,plain,
( ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f926,plain,
( $false
| ~ spl11_1 ),
inference(resolution,[],[f246,f135]) ).
fof(f952,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f926]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f250]) ).
cnf(s7,plain,
( ~ spl11_11
| spl11_12 ),
inference(sat_conversion,[],[f300]) ).
cnf(s12,plain,
spl11_11,
inference(sat_conversion,[],[f388]) ).
cnf(s14,plain,
( ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(sat_conversion,[],[f923]) ).
cnf(s26,plain,
~ spl11_1,
inference(sat_conversion,[],[f952]) ).
cnf(s27,plain,
spl11_12,
inference(rat,[],[s7,s12]) ).
cnf(s28,plain,
~ spl11_2,
inference(rat,[],[s14,s12,s27]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s1,s28,s26]) ).
fof(f953,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG060+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 : n010.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 23:03:47 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 6.43/2.03 % (1407293)Detected formulas, will run a generic FOF schedule.
% 6.43/2.03 % (1407303)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=114861096:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.43/2.03 % (1407304)dis-21_1_sil=8000:lcm=predicate:random_seed=3182731449: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)
% 6.43/2.03 % (1407298)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=1815894128:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.43/2.03 % (1407301)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1905108863:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.43/2.03 % (1407299)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=3811113709:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.43/2.03 % (1407300)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=2076651101:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.43/2.03 % (1407303)Instruction limit reached!
% 6.43/2.03 % (1407303)------------------------------
% 6.43/2.03 % (1407303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407303)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407303)Termination reason: Instruction limit
% 6.43/2.03 % (1407303)Termination phase: Saturation
% 6.43/2.03 % (1407303)Time elapsed: 0.047 s
% 6.43/2.03 % (1407303)Peak memory usage: 90 MB
% 6.43/2.03 % (1407303)Instructions burned: 140 (million)
% 6.43/2.03 % (1407302)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2104140895:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.43/2.03 % (1407301)Instruction limit reached!
% 6.43/2.03 % (1407301)------------------------------
% 6.43/2.03 % (1407301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407301)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407301)Termination reason: Instruction limit
% 6.43/2.03 % (1407301)Termination phase: Saturation
% 6.43/2.03 % (1407301)Time elapsed: 0.060 s
% 6.43/2.03 % (1407301)Peak memory usage: 89 MB
% 6.43/2.03 % (1407301)Instructions burned: 110 (million)
% 6.43/2.03 % (1407304)Instruction limit reached!
% 6.43/2.03 % (1407304)------------------------------
% 6.43/2.03 % (1407304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407304)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407304)Termination reason: Instruction limit
% 6.43/2.03 % (1407304)Termination phase: Saturation
% 6.43/2.03 % (1407304)Time elapsed: 0.076 s
% 6.43/2.03 % (1407304)Peak memory usage: 89 MB
% 6.43/2.03 % (1407304)Instructions burned: 129 (million)
% 6.43/2.03 % (1407302)Instruction limit reached!
% 6.43/2.03 % (1407302)------------------------------
% 6.43/2.03 % (1407302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407302)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407302)Termination reason: Instruction limit
% 6.43/2.03 % (1407302)Termination phase: Saturation
% 6.43/2.03 % (1407302)Time elapsed: 0.070 s
% 6.43/2.03 % (1407302)Peak memory usage: 89 MB
% 6.43/2.03 % (1407302)Instructions burned: 120 (million)
% 6.43/2.03 % (1407311)lrs+10_1_sil=8000:sp=occurrence:random_seed=612096985:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.43/2.03 % (1407313)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3128245559:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.43/2.03 % (1407314)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3683419916:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.43/2.03 % (1407311)Instruction limit reached!
% 6.43/2.03 % (1407311)------------------------------
% 6.43/2.03 % (1407311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407311)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407311)Termination reason: Instruction limit
% 6.43/2.03 % (1407311)Termination phase: Saturation
% 6.43/2.03 % (1407311)Time elapsed: 0.092 s
% 6.43/2.03 % (1407311)Peak memory usage: 93 MB
% 6.43/2.03 % (1407311)Instructions burned: 286 (million)
% 6.43/2.03 % (1407315)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=799230751:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.43/2.03 % (1407313)Instruction limit reached!
% 6.43/2.03 % (1407313)------------------------------
% 6.43/2.03 % (1407313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407313)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407313)Termination reason: Instruction limit
% 6.43/2.03 % (1407313)Termination phase: Saturation
% 6.43/2.03 % (1407313)Time elapsed: 0.076 s
% 6.43/2.03 % (1407313)Peak memory usage: 92 MB
% 6.43/2.03 % (1407313)Instructions burned: 158 (million)
% 6.43/2.03 % (1407319)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2100099886:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.43/2.03 % (1407315)Instruction limit reached!
% 6.43/2.03 % (1407315)------------------------------
% 6.43/2.03 % (1407315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407315)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407315)Termination reason: Instruction limit
% 6.43/2.03 % (1407315)Termination phase: Saturation
% 6.43/2.03 % (1407315)Time elapsed: 0.111 s
% 6.43/2.03 % (1407315)Peak memory usage: 95 MB
% 6.43/2.03 % (1407315)Instructions burned: 249 (million)
% 6.43/2.03 % (1407321)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1673195382:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.43/2.03 % (1407314)Instruction limit reached!
% 6.43/2.03 % (1407314)------------------------------
% 6.43/2.03 % (1407314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407314)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407314)Termination reason: Instruction limit
% 6.43/2.03 % (1407314)Termination phase: Saturation
% 6.43/2.03 % (1407314)Time elapsed: 0.192 s
% 6.43/2.03 % (1407314)Peak memory usage: 94 MB
% 6.43/2.03 % (1407314)Instructions burned: 326 (million)
% 6.43/2.03 % (1407319)Instruction limit reached!
% 6.43/2.03 % (1407319)------------------------------
% 6.43/2.03 % (1407319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407319)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407319)Termination reason: Instruction limit
% 6.43/2.03 % (1407319)Termination phase: Saturation
% 6.43/2.03 % (1407319)Time elapsed: 0.089 s
% 6.43/2.03 % (1407319)Peak memory usage: 91 MB
% 6.43/2.03 % (1407319)Instructions burned: 295 (million)
% 6.43/2.03 % (1407323)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3356598666:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.43/2.03 % (1407326)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1134919417:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.43/2.03 % (1407325)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2885279839:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.43/2.03 % (1407326)Instruction limit reached!
% 6.43/2.03 % (1407326)------------------------------
% 6.43/2.03 % (1407326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407326)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407326)Termination reason: Instruction limit
% 6.43/2.03 % (1407326)Termination phase: Saturation
% 6.43/2.03 % (1407326)Time elapsed: 0.033 s
% 6.43/2.03 % (1407326)Peak memory usage: 89 MB
% 6.43/2.03 % (1407326)Instructions burned: 115 (million)
% 6.43/2.03 % (1407323)Instruction limit reached!
% 6.43/2.03 % (1407323)------------------------------
% 6.43/2.03 % (1407323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407323)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407323)Termination reason: Instruction limit
% 6.43/2.03 % (1407323)Termination phase: Saturation
% 6.43/2.03 % (1407323)Time elapsed: 0.074 s
% 6.43/2.03 % (1407323)Peak memory usage: 91 MB
% 6.43/2.03 % (1407323)Instructions burned: 114 (million)
% 6.43/2.03 % (1407325)Instruction limit reached!
% 6.43/2.03 % (1407325)------------------------------
% 6.43/2.03 % (1407325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407325)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407325)Termination reason: Instruction limit
% 6.43/2.03 % (1407325)Termination phase: Saturation
% 6.43/2.03 % (1407325)Time elapsed: 0.070 s
% 6.43/2.03 % (1407325)Peak memory usage: 89 MB
% 6.43/2.03 % (1407325)Instructions burned: 130 (million)
% 6.43/2.03 % (1407330)lrs+10_1_sil=8000:sp=occurrence:random_seed=3312131220:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.43/2.03 % (1407331)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=171255232:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 6.43/2.03 % (1407332)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1173115258:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.43/2.03 % (1407298)First to succeed.
% 6.43/2.03 % (1407298)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1407293"
% 6.43/2.03 % (1407300)Also succeeded, but the first one will report.
% 6.43/2.03 % (1407330)Instruction limit reached!
% 6.43/2.03 % (1407330)------------------------------
% 6.43/2.03 % (1407330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407330)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407330)Termination reason: Instruction limit
% 6.43/2.03 % (1407330)Termination phase: Saturation
% 6.43/2.03 % (1407330)Time elapsed: 0.265 s
% 6.43/2.03 % (1407330)Peak memory usage: 101 MB
% 6.43/2.03 % (1407330)Instructions burned: 907 (million)
% 6.43/2.03 % (1407331)Instruction limit reached!
% 6.43/2.03 % (1407331)------------------------------
% 6.43/2.03 % (1407331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407331)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407331)Termination reason: Instruction limit
% 6.43/2.03 % (1407331)Termination phase: Saturation
% 6.43/2.03 % (1407331)Time elapsed: 0.251 s
% 6.43/2.03 % (1407331)Peak memory usage: 95 MB
% 6.43/2.03 % (1407331)Instructions burned: 437 (million)
% 6.43/2.03 % (1407336)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1328570779:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.43/2.03 % (1407336)Instruction limit reached!
% 6.43/2.03 % (1407336)------------------------------
% 6.43/2.03 % (1407336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.43/2.03 % (1407336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.03 % (1407336)CaDiCaL version: 2.1.3
% 6.43/2.03 % (1407336)Termination reason: Instruction limit
% 6.43/2.03 % (1407336)Termination phase: Saturation
% 6.43/2.03 % (1407336)Time elapsed: 0.032 s
% 6.43/2.03 % (1407336)Peak memory usage: 91 MB
% 6.43/2.03 % (1407336)Instructions burned: 138 (million)
% 6.43/2.03 % (1407298)Refutation found. Thanks to Tanya!
% 6.43/2.03 % SZS status Theorem for theBenchmark
% 6.43/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 8.63/2.13 % (1407298)------------------------------
% 8.63/2.13 % (1407298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.13 % (1407298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.13 % (1407298)CaDiCaL version: 2.1.3
% 8.63/2.13 % (1407298)Termination reason: Refutation
% 8.63/2.13 % (1407298)Time elapsed: 0.744 s
% 8.63/2.13 % (1407298)Peak memory usage: 130 MB
% 8.63/2.13 % (1407298)Instructions burned: 1142 (million)
% 8.63/2.13 % (1407298)------------------------------
% 8.63/2.13 % (1407298)------------------------------
% 8.63/2.13 % (1407293)Success in time 1.157 s
% 8.63/2.13 % Vampire exiting
%------------------------------------------------------------------------------