%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG060+1 : 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 : n012.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 4.39s 1.27s
% Output : Refutation 5.24s
% 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(f133,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f136,plain,
! [X0] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f150,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(f203,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f207,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f212,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf_transformation,[],[f58]) ).
fof(f214,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf_transformation,[],[f58]) ).
fof(f215,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(f219,definition,
sF2 = smndt0(xS),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f220,plain,
smndt0(xS) = sF2,
inference(reorient_equations,[],[f219]) ).
fof(f221,definition,
sF3 = sdtpldt0(xR,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f222,plain,
sdtpldt0(xR,sF2) = sF3,
inference(reorient_equations,[],[f221]) ).
fof(f223,definition,
sF4 = sdtasdt0(sF3,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f224,plain,
sdtasdt0(sF3,sF3) = sF4,
inference(reorient_equations,[],[f223]) ).
fof(f225,definition,
sF5 = sdtasdt0(xR,xR),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f226,plain,
sdtasdt0(xR,xR) = sF5,
inference(reorient_equations,[],[f225]) ).
fof(f227,definition,
sF6 = smndt0(xN),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f228,plain,
smndt0(xN) = sF6,
inference(reorient_equations,[],[f227]) ).
fof(f229,definition,
sF7 = sdtpldt0(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f230,plain,
sdtpldt0(sF5,sF6) = sF7,
inference(reorient_equations,[],[f229]) ).
fof(f231,definition,
sF8 = sdtasdt0(xS,xS),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f232,plain,
sdtasdt0(xS,xS) = sF8,
inference(reorient_equations,[],[f231]) ).
fof(f233,definition,
sF9 = sdtpldt0(sF6,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f234,plain,
sdtpldt0(sF6,sF8) = sF9,
inference(reorient_equations,[],[f233]) ).
fof(f235,definition,
sF10 = sdtpldt0(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f236,plain,
sdtpldt0(sF7,sF9) = sF10,
inference(reorient_equations,[],[f235]) ).
fof(f237,plain,
sF4 != sF10,
inference(definition_folding,[],[f215,f236,f234,f232,f228,f230,f228,f226,f224,f222,f220,f222,f220]) ).
fof(f239,definition,
( spl11_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f240,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,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(f243,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f145,f242,f239]) ).
fof(f254,plain,
( aScalar0(sF3)
| ~ aScalar0(xR)
| ~ aScalar0(sF2) ),
inference(superposition,[],[f134,f222]) ).
fof(f285,plain,
( aScalar0(sF3)
| ~ aScalar0(sF2) ),
inference(forward_subsumption_resolution,[],[f254,f203]) ).
fof(f287,definition,
( spl11_11
<=> aScalar0(sF2) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f288,plain,
( aScalar0(sF2)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( ~ aScalar0(sF2)
| spl11_11 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,definition,
( spl11_12
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f293,plain,
( aScalar0(sF3)
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
( ~ spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f285,f291,f287]) ).
fof(f295,plain,
smndt0(xN) = sdtasdt0(xR,sF2),
inference(superposition,[],[f214,f220]) ).
fof(f296,plain,
sF6 = sdtasdt0(xR,sF2),
inference(forward_demodulation,[],[f295,f228]) ).
fof(f375,plain,
( aScalar0(sF2)
| ~ aScalar0(xS) ),
inference(superposition,[],[f136,f220]) ).
fof(f378,plain,
( ~ aScalar0(xS)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f375,f289]) ).
fof(f381,plain,
( $false
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f378,f207]) ).
fof(f382,plain,
spl11_11,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f387,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sF3,X0) )
| ~ spl11_2
| ~ spl11_12 ),
inference(resolution,[],[f293,f243]) ).
fof(f411,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,sF2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,sF2)) )
| ~ spl11_11 ),
inference(resolution,[],[f288,f150]) ).
fof(f412,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF2) = sdtasdt0(sF2,X0) )
| ~ spl11_2
| ~ spl11_11 ),
inference(resolution,[],[f288,f243]) ).
fof(f504,plain,
( sdtasdt0(xR,sF3) = sdtasdt0(sF3,xR)
| ~ spl11_2
| ~ spl11_12 ),
inference(resolution,[],[f387,f203]) ).
fof(f506,plain,
( sdtasdt0(sF2,sF3) = sdtasdt0(sF3,sF2)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(resolution,[],[f387,f288]) ).
fof(f567,plain,
( sdtasdt0(xR,sF2) = sdtasdt0(sF2,xR)
| ~ spl11_2
| ~ spl11_11 ),
inference(resolution,[],[f412,f203]) ).
fof(f578,plain,
( sF6 = sdtasdt0(sF2,xR)
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f567,f296]) ).
fof(f625,plain,
sdtasdt0(xS,xS) = sdtasdt0(sF2,sF2),
inference(superposition,[],[f212,f220]) ).
fof(f629,plain,
sF8 = sdtasdt0(sF2,sF2),
inference(forward_demodulation,[],[f625,f232]) ).
fof(f828,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(xR,sF2)) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X0,sF2)) )
| ~ spl11_11 ),
inference(resolution,[],[f411,f203]) ).
fof(f846,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtpldt0(sdtasdt0(X0,xR),sdtasdt0(X0,sF2)) )
| ~ spl11_11 ),
inference(forward_demodulation,[],[f828,f222]) ).
fof(f853,plain,
( sdtasdt0(xR,sF3) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,sF2))
| ~ spl11_11 ),
inference(resolution,[],[f846,f203]) ).
fof(f855,plain,
( sdtasdt0(sF2,sF3) = sdtpldt0(sdtasdt0(sF2,xR),sdtasdt0(sF2,sF2))
| ~ spl11_11 ),
inference(resolution,[],[f846,f288]) ).
fof(f856,plain,
( sdtasdt0(sF3,sF3) = sdtpldt0(sdtasdt0(sF3,xR),sdtasdt0(sF3,sF2))
| ~ spl11_11
| ~ spl11_12 ),
inference(resolution,[],[f846,f293]) ).
fof(f871,plain,
( sF4 = sdtpldt0(sdtasdt0(sF3,xR),sdtasdt0(sF3,sF2))
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f856,f224]) ).
fof(f872,plain,
( sdtasdt0(sF2,sF3) = sdtpldt0(sdtasdt0(sF2,xR),sF8)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f855,f629]) ).
fof(f874,plain,
( sdtasdt0(xR,sF3) = sdtpldt0(sdtasdt0(xR,xR),sF6)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f853,f296]) ).
fof(f881,plain,
( sdtpldt0(sF6,sF8) = sdtasdt0(sF2,sF3)
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f872,f578]) ).
fof(f883,plain,
( sdtpldt0(sF5,sF6) = sdtasdt0(xR,sF3)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f874,f226]) ).
fof(f886,plain,
( sdtpldt0(sF6,sF8) = sdtasdt0(sF3,sF2)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f881,f506]) ).
fof(f888,plain,
( sdtpldt0(sF5,sF6) = sdtasdt0(sF3,xR)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f883,f504]) ).
fof(f889,plain,
( sF9 = sdtasdt0(sF3,sF2)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f886,f234]) ).
fof(f890,plain,
( sF7 = sdtasdt0(sF3,xR)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f888,f230]) ).
fof(f893,plain,
( sF4 = sdtpldt0(sF7,sdtasdt0(sF3,sF2))
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f871,f890]) ).
fof(f897,plain,
( sF4 = sdtpldt0(sF7,sF9)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f893,f889]) ).
fof(f899,plain,
( sF4 = sF10
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f897,f236]) ).
fof(f902,plain,
( $false
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_subsumption_resolution,[],[f899,f237]) ).
fof(f903,plain,
( ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f906,plain,
( $false
| ~ spl11_1 ),
inference(resolution,[],[f240,f133]) ).
fof(f932,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f906]) ).
cnf(s1,plain,
( spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f244]) ).
cnf(s7,plain,
( ~ spl11_11
| spl11_12 ),
inference(sat_conversion,[],[f294]) ).
cnf(s12,plain,
spl11_11,
inference(sat_conversion,[],[f382]) ).
cnf(s14,plain,
( ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(sat_conversion,[],[f903]) ).
cnf(s26,plain,
~ spl11_1,
inference(sat_conversion,[],[f932]) ).
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(f933,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Sun Sep 27 23:03:19 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 4.39/1.26 % (2863657)Detected formulas, will run a generic FOF schedule.
% 4.39/1.26 % (2863664)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=383500788:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.39/1.26 % (2863666)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1358075419:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.39/1.26 % (2863668)dis-21_1_sil=8000:lcm=predicate:random_seed=1471426977: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)
% 4.39/1.26 % (2863665)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1668674015:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.39/1.26 % (2863663)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=1972204407:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.39/1.26 % (2863662)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=1486484573:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.39/1.26 % (2863667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3606140829:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.39/1.26 % (2863665)Instruction limit reached!
% 4.39/1.26 % (2863665)------------------------------
% 4.39/1.26 % (2863665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (2863665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (2863665)CaDiCaL version: 2.1.3
% 4.39/1.26 % (2863665)Termination reason: Instruction limit
% 4.39/1.26 % (2863665)Termination phase: Saturation
% 4.39/1.26 % (2863665)Time elapsed: 0.032 s
% 4.39/1.26 % (2863665)Peak memory usage: 89 MB
% 4.39/1.26 % (2863665)Instructions burned: 112 (million)
% 4.39/1.26 % (2863668)Instruction limit reached!
% 4.39/1.26 % (2863668)------------------------------
% 4.39/1.26 % (2863668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (2863668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (2863668)CaDiCaL version: 2.1.3
% 4.39/1.26 % (2863668)Termination reason: Instruction limit
% 4.39/1.26 % (2863668)Termination phase: Saturation
% 4.39/1.26 % (2863668)Time elapsed: 0.036 s
% 4.39/1.26 % (2863668)Peak memory usage: 88 MB
% 4.39/1.26 % (2863668)Instructions burned: 131 (million)
% 4.39/1.26 % (2863666)Instruction limit reached!
% 4.39/1.26 % (2863666)------------------------------
% 4.39/1.26 % (2863666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (2863666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (2863666)CaDiCaL version: 2.1.3
% 4.39/1.26 % (2863666)Termination reason: Instruction limit
% 4.39/1.26 % (2863666)Termination phase: Saturation
% 4.39/1.26 % (2863666)Time elapsed: 0.037 s
% 4.39/1.26 % (2863666)Peak memory usage: 88 MB
% 4.39/1.26 % (2863666)Instructions burned: 121 (million)
% 4.39/1.26 % (2863667)Instruction limit reached!
% 4.39/1.26 % (2863667)------------------------------
% 4.39/1.26 % (2863667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (2863667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (2863667)CaDiCaL version: 2.1.3
% 4.39/1.26 % (2863667)Termination reason: Instruction limit
% 4.39/1.26 % (2863667)Termination phase: Saturation
% 4.39/1.26 % (2863667)Time elapsed: 0.054 s
% 4.39/1.26 % (2863667)Peak memory usage: 90 MB
% 4.39/1.26 % (2863667)Instructions burned: 139 (million)
% 4.39/1.26 % (2863676)lrs+10_1_sil=8000:sp=occurrence:random_seed=1088936057:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.39/1.26 % (2863677)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1027428138:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.39/1.26 % (2863678)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3988700917:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 4.39/1.26 % (2863679)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=4086557964:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 4.39/1.26 % (2863677)Instruction limit reached!
% 4.39/1.26 % (2863677)------------------------------
% 4.39/1.26 % (2863677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (2863677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (2863677)CaDiCaL version: 2.1.3
% 4.39/1.26 % (2863677)Termination reason: Instruction limit
% 4.39/1.26 % (2863677)Termination phase: Saturation
% 4.39/1.26 % (2863677)Time elapsed: 0.042 s
% 4.39/1.26 % (2863677)Peak memory usage: 92 MB
% 4.39/1.26 % (2863677)Instructions burned: 159 (million)
% 4.39/1.26 % (2863679)Instruction limit reached!
% 4.39/1.26 % (2863679)------------------------------
% 4.39/1.26 % (2863679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (2863679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (2863679)CaDiCaL version: 2.1.3
% 4.39/1.26 % (2863679)Termination reason: Instruction limit
% 4.39/1.26 % (2863679)Termination phase: Saturation
% 4.39/1.26 % (2863679)Time elapsed: 0.062 s
% 4.39/1.26 % (2863679)Peak memory usage: 95 MB
% 4.39/1.26 % (2863679)Instructions burned: 252 (million)
% 4.39/1.26 % (2863676)Instruction limit reached!
% 4.39/1.27 % (2863676)------------------------------
% 4.39/1.27 % (2863676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.27 % (2863676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.27 % (2863676)CaDiCaL version: 2.1.3
% 4.39/1.27 % (2863676)Termination reason: Instruction limit
% 4.39/1.27 % (2863676)Termination phase: Saturation
% 4.39/1.27 % (2863676)Time elapsed: 0.092 s
% 4.39/1.27 % (2863676)Peak memory usage: 93 MB
% 4.39/1.27 % (2863676)Instructions burned: 287 (million)
% 4.39/1.27 % (2863678)Instruction limit reached!
% 4.39/1.27 % (2863678)------------------------------
% 4.39/1.27 % (2863678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.27 % (2863678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.27 % (2863678)CaDiCaL version: 2.1.3
% 4.39/1.27 % (2863678)Termination reason: Instruction limit
% 4.39/1.27 % (2863678)Termination phase: Saturation
% 4.39/1.27 % (2863678)Time elapsed: 0.104 s
% 4.39/1.27 % (2863678)Peak memory usage: 94 MB
% 4.39/1.27 % (2863678)Instructions burned: 326 (million)
% 4.39/1.27 % (2863684)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1210993603:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.39/1.27 % (2863686)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=322396589:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 4.39/1.27 % (2863685)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4067736728:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.39/1.27 % (2863687)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3015520187:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 4.39/1.27 % (2863686)Instruction limit reached!
% 4.39/1.27 % (2863686)------------------------------
% 4.39/1.27 % (2863686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.27 % (2863686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.27 % (2863686)CaDiCaL version: 2.1.3
% 4.39/1.27 % (2863686)Termination reason: Instruction limit
% 4.39/1.27 % (2863686)Termination phase: Saturation
% 4.39/1.27 % (2863686)Time elapsed: 0.040 s
% 4.39/1.27 % (2863686)Peak memory usage: 91 MB
% 4.39/1.27 % (2863686)Instructions burned: 113 (million)
% 4.39/1.27 % (2863684)Instruction limit reached!
% 4.39/1.27 % (2863684)------------------------------
% 4.39/1.27 % (2863684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.27 % (2863684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.27 % (2863684)CaDiCaL version: 2.1.3
% 4.39/1.27 % (2863684)Termination reason: Instruction limit
% 4.39/1.27 % (2863684)Termination phase: Saturation
% 4.39/1.27 % (2863684)Time elapsed: 0.088 s
% 4.39/1.27 % (2863684)Peak memory usage: 91 MB
% 4.39/1.27 % (2863684)Instructions burned: 295 (million)
% 4.39/1.27 % (2863662)First to succeed.
% 4.39/1.27 % (2863662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2863657"
% 4.39/1.27 % (2863687)Instruction limit reached!
% 4.39/1.27 % (2863687)------------------------------
% 4.39/1.27 % (2863687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.27 % (2863687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.27 % (2863687)CaDiCaL version: 2.1.3
% 4.39/1.27 % (2863687)Termination reason: Instruction limit
% 4.39/1.27 % (2863687)Termination phase: Saturation
% 4.39/1.27 % (2863687)Time elapsed: 0.036 s
% 4.39/1.27 % (2863687)Peak memory usage: 89 MB
% 4.39/1.27 % (2863687)Instructions burned: 127 (million)
% 4.39/1.27 % (2863664)Also succeeded, but the first one will report.
% 4.39/1.27 % (2863692)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=320740337:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.39/1.27 % (2863693)lrs+10_1_sil=8000:sp=occurrence:random_seed=3532279674:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.39/1.27 % (2863694)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1323324862:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 4.39/1.27 % (2863692)Instruction limit reached!
% 4.39/1.27 % (2863692)------------------------------
% 4.39/1.27 % (2863692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.27 % (2863692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.27 % (2863692)CaDiCaL version: 2.1.3
% 4.39/1.27 % (2863692)Termination reason: Instruction limit
% 4.39/1.27 % (2863692)Termination phase: Saturation
% 4.39/1.27 % (2863692)Time elapsed: 0.034 s
% 4.39/1.27 % (2863692)Peak memory usage: 89 MB
% 4.39/1.27 % (2863692)Instructions burned: 117 (million)
% 4.39/1.27 % (2863662)Refutation found. Thanks to Tanya!
% 4.39/1.27 % SZS status Theorem for theBenchmark
% 4.39/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 5.24/1.36 % (2863662)------------------------------
% 5.24/1.36 % (2863662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.24/1.36 % (2863662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.24/1.36 % (2863662)CaDiCaL version: 2.1.3
% 5.24/1.36 % (2863662)Termination reason: Refutation
% 5.24/1.36 % (2863662)Time elapsed: 0.412 s
% 5.24/1.36 % (2863662)Peak memory usage: 129 MB
% 5.24/1.36 % (2863662)Instructions burned: 1138 (million)
% 5.24/1.36 % (2863662)------------------------------
% 5.24/1.36 % (2863662)------------------------------
% 5.24/1.36 % (2863657)Success in time 0.721 s
% 5.24/1.36 % Vampire exiting
%------------------------------------------------------------------------------