%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM527+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:15:36 PM UTC 2026
% Result : Theorem 4.96s 1.60s
% Output : Refutation 4.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 97 ( 20 unt; 6 def)
% Number of atoms : 306 ( 44 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 382 ( 173 ~; 166 |; 28 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3014) ).
fof(f47,conjecture,
( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( sdtlseqdt0(xn,xm)
=> sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f53,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm))
& sdtlseqdt0(xn,xm) ),
inference(ennf_transformation,[],[f48]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f68]) ).
fof(f89,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f90,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f92,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f104,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f103]) ).
fof(f128,plain,
sz00 != xm,
inference(cnf_transformation,[],[f40]) ).
fof(f129,plain,
sz00 != xn,
inference(cnf_transformation,[],[f40]) ).
fof(f130,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f131,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f132,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f134,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f140,plain,
sdtlseqdt0(xn,xm),
inference(cnf_transformation,[],[f53]) ).
fof(f141,plain,
~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xm,xm)),
inference(cnf_transformation,[],[f53]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X1,X2)
| sz00 = X0
| X1 = X2
| sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f186,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f187,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f195,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f197,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f233,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(superposition,[],[f187,f134]) ).
fof(f234,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(forward_subsumption_resolution,[],[f233,f130]) ).
fof(f236,definition,
( spl4_1
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f237,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f238,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl4_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl4_2
<=> aNaturalNumber0(sdtasdt0(xn,xn)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f242,plain,
( aNaturalNumber0(sdtasdt0(xn,xn))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f234,f240,f236]) ).
fof(f244,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| spl4_1 ),
inference(resolution,[],[f238,f187]) ).
fof(f245,plain,
( ~ aNaturalNumber0(xm)
| spl4_1 ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f246,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f245,f131]) ).
fof(f247,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f294,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(resolution,[],[f195,f141]) ).
fof(f297,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f294,f242]) ).
fof(f298,plain,
( sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xn,xn))
| ~ spl4_1
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f297,f237]) ).
fof(f306,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(X0,xn) ),
inference(resolution,[],[f186,f132]) ).
fof(f320,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(resolution,[],[f306,f131]) ).
fof(f399,definition,
( spl4_10
<=> xn = xm ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f401,plain,
( xn = xm
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f602,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xn))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(resolution,[],[f197,f141]) ).
fof(f606,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) )
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f602,f242]) ).
fof(f608,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xn,xn),X0)
| ~ sdtlseqdt0(X0,sdtasdt0(xm,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl4_1
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f606,f237]) ).
fof(f1031,plain,
! [X0] :
( sz00 = X0
| xn = xm
| sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f160,f140]) ).
fof(f1044,plain,
! [X0] :
( sz00 = X0
| xn = xm
| sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f1031,f132]) ).
fof(f1054,plain,
! [X0] :
( sz00 = X0
| xn = xm
| sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1044,f131]) ).
fof(f1069,definition,
( spl4_22
<=> ! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f1070,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xn,X0),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(X0)
| sz00 = X0 )
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1071,plain,
( spl4_10
| spl4_22 ),
inference(avatar_split_clause,[],[f1054,f1069,f399]) ).
fof(f1141,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl4_10 ),
inference(superposition,[],[f141,f401]) ).
fof(f1144,plain,
( sdtlseqdt0(sdtasdt0(xn,xn),sdtasdt0(xn,xn))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_10 ),
inference(superposition,[],[f298,f401]) ).
fof(f1155,plain,
( $false
| ~ spl4_1
| ~ spl4_2
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f1141,f1144]) ).
fof(f1156,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1246,plain,
( ~ aNaturalNumber0(xn)
| sz00 = xn
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_22 ),
inference(resolution,[],[f1070,f608]) ).
fof(f1262,plain,
( sz00 = xn
| ~ sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_22 ),
inference(forward_subsumption_resolution,[],[f1246,f132]) ).
fof(f1267,plain,
( ~ sdtlseqdt0(sdtasdt0(xm,xn),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_22 ),
inference(forward_subsumption_resolution,[],[f1262,f129]) ).
fof(f1282,definition,
( spl4_35
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).
fof(f1284,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_35 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1306,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xm))
| ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_22 ),
inference(forward_demodulation,[],[f1267,f320]) ).
fof(f1308,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xm))
| ~ spl4_1
| ~ spl4_2
| ~ spl4_22 ),
inference(forward_demodulation,[],[f1306,f320]) ).
fof(f1311,definition,
( spl4_36
<=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).
fof(f1313,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xm,xm))
| spl4_36 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1314,plain,
( ~ spl4_36
| ~ spl4_35
| ~ spl4_1
| ~ spl4_2
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f1308,f1069,f240,f236,f1282,f1311]) ).
fof(f1356,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_35 ),
inference(resolution,[],[f1284,f187]) ).
fof(f1357,plain,
( ~ aNaturalNumber0(xm)
| spl4_35 ),
inference(forward_subsumption_resolution,[],[f1356,f132]) ).
fof(f1358,plain,
( $false
| spl4_35 ),
inference(forward_subsumption_resolution,[],[f1357,f131]) ).
fof(f1359,plain,
spl4_35,
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f3585,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| ~ spl4_22
| spl4_36 ),
inference(resolution,[],[f1313,f1070]) ).
fof(f3592,plain,
( sz00 = xm
| ~ spl4_22
| spl4_36 ),
inference(forward_subsumption_resolution,[],[f3585,f131]) ).
fof(f3596,plain,
( $false
| ~ spl4_22
| spl4_36 ),
inference(forward_subsumption_resolution,[],[f3592,f128]) ).
fof(f3597,plain,
( ~ spl4_22
| spl4_36 ),
inference(avatar_contradiction_clause,[],[f3596]) ).
cnf(s1,plain,
( ~ spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f243]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f247]) ).
cnf(s23,plain,
( spl4_10
| spl4_22 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s28,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_10 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s38,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_22
| ~ spl4_35
| ~ spl4_36 ),
inference(sat_conversion,[],[f1314]) ).
cnf(s39,plain,
spl4_35,
inference(sat_conversion,[],[f1359]) ).
cnf(s108,plain,
( ~ spl4_22
| spl4_36 ),
inference(sat_conversion,[],[f3597]) ).
cnf(s126,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_22
| ~ spl4_36 ),
inference(rat,[],[s38,s39]) ).
cnf(s136,plain,
spl4_2,
inference(rat,[],[s1,s2]) ).
cnf(s137,plain,
~ spl4_10,
inference(rat,[],[s28,s2,s136]) ).
cnf(s141,plain,
spl4_22,
inference(rat,[],[s23,s137]) ).
cnf(s143,plain,
spl4_36,
inference(rat,[],[s108,s141]) ).
cnf(s150,plain,
$false,
inference(rat,[],[s126,s136,s2,s143,s141]) ).
fof(f3602,plain,
$false,
inference(avatar_sat_refutation,[],[s150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM527+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:24:14 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.96/1.60 % (1984970)Detected formulas, will run a generic FOF schedule.
% 4.96/1.60 % (1984975)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=731440343:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.96/1.60 % (1984981)dis-21_1_sil=8000:lcm=predicate:random_seed=2598748989: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)
% 4.96/1.60 % (1984977)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=2151688666:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.96/1.60 % (1984979)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2661798524:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.96/1.60 % (1984976)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=3021715867:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.96/1.60 % (1984978)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3507669625:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.96/1.60 % (1984980)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2099976211:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.96/1.60 % (1984978)Instruction limit reached!
% 4.96/1.60 % (1984978)------------------------------
% 4.96/1.60 % (1984978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984978)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984978)Termination reason: Instruction limit
% 4.96/1.60 % (1984978)Termination phase: Saturation
% 4.96/1.60 % (1984978)Time elapsed: 0.065 s
% 4.96/1.60 % (1984978)Peak memory usage: 89 MB
% 4.96/1.60 % (1984978)Instructions burned: 110 (million)
% 4.96/1.60 % (1984979)Instruction limit reached!
% 4.96/1.60 % (1984979)------------------------------
% 4.96/1.60 % (1984979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984979)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984979)Termination reason: Instruction limit
% 4.96/1.60 % (1984979)Termination phase: Saturation
% 4.96/1.60 % (1984979)Time elapsed: 0.071 s
% 4.96/1.60 % (1984979)Peak memory usage: 88 MB
% 4.96/1.60 % (1984979)Instructions burned: 120 (million)
% 4.96/1.60 % (1984981)Instruction limit reached!
% 4.96/1.60 % (1984981)------------------------------
% 4.96/1.60 % (1984981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984981)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984981)Termination reason: Instruction limit
% 4.96/1.60 % (1984981)Termination phase: Saturation
% 4.96/1.60 % (1984981)Time elapsed: 0.078 s
% 4.96/1.60 % (1984981)Peak memory usage: 91 MB
% 4.96/1.60 % (1984981)Instructions burned: 129 (million)
% 4.96/1.60 % (1984980)Instruction limit reached!
% 4.96/1.60 % (1984980)------------------------------
% 4.96/1.60 % (1984980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984980)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984980)Termination reason: Instruction limit
% 4.96/1.60 % (1984980)Termination phase: Saturation
% 4.96/1.60 % (1984980)Time elapsed: 0.093 s
% 4.96/1.60 % (1984980)Peak memory usage: 90 MB
% 4.96/1.60 % (1984980)Instructions burned: 140 (million)
% 4.96/1.60 % (1984989)lrs+10_1_sil=8000:sp=occurrence:random_seed=1492546911:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.96/1.60 % (1984990)lrs+10_1_sil=32000:urr=on:br=off:random_seed=691432325:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.96/1.60 % (1984991)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2677184266:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.96/1.60 % (1984992)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=1168585403:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.96/1.60 % (1984990)Instruction limit reached!
% 4.96/1.60 % (1984990)------------------------------
% 4.96/1.60 % (1984990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984990)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984990)Termination reason: Instruction limit
% 4.96/1.60 % (1984990)Termination phase: Saturation
% 4.96/1.60 % (1984990)Time elapsed: 0.071 s
% 4.96/1.60 % (1984990)Peak memory usage: 90 MB
% 4.96/1.60 % (1984990)Instructions burned: 158 (million)
% 4.96/1.60 % (1984991)First to succeed.
% 4.96/1.60 % (1984991)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1984970"
% 4.96/1.60 % (1984989)Instruction limit reached!
% 4.96/1.60 % (1984989)------------------------------
% 4.96/1.60 % (1984989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984989)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984989)Termination reason: Instruction limit
% 4.96/1.60 % (1984989)Termination phase: Saturation
% 4.96/1.60 % (1984989)Time elapsed: 0.166 s
% 4.96/1.60 % (1984989)Peak memory usage: 92 MB
% 4.96/1.60 % (1984989)Instructions burned: 286 (million)
% 4.96/1.60 % (1984992)Instruction limit reached!
% 4.96/1.60 % (1984992)------------------------------
% 4.96/1.60 % (1984992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.60 % (1984992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.60 % (1984992)CaDiCaL version: 2.1.3
% 4.96/1.60 % (1984992)Termination reason: Instruction limit
% 4.96/1.60 % (1984992)Termination phase: Saturation
% 4.96/1.60 % (1984992)Time elapsed: 0.120 s
% 4.96/1.60 % (1984992)Peak memory usage: 94 MB
% 4.96/1.60 % (1984992)Instructions burned: 249 (million)
% 4.96/1.60 % (1984997)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2190984397:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.96/1.60 % (1984975)Also succeeded, but the first one will report.
% 4.96/1.60 % (1984998)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=190954943:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.96/1.60 % (1984999)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=756176505:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.96/1.60 % (1984991)Refutation found. Thanks to Tanya!
% 4.96/1.60 % SZS status Theorem for theBenchmark
% 4.96/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 4.96/1.69 % (1984991)------------------------------
% 4.96/1.69 % (1984991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.96/1.69 % (1984991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.96/1.69 % (1984991)CaDiCaL version: 2.1.3
% 4.96/1.69 % (1984991)Termination reason: Refutation
% 4.96/1.69 % (1984991)Time elapsed: 0.095 s
% 4.96/1.69 % (1984991)Peak memory usage: 91 MB
% 4.96/1.69 % (1984991)Instructions burned: 146 (million)
% 4.96/1.69 % (1984991)------------------------------
% 4.96/1.69 % (1984991)------------------------------
% 4.96/1.69 % (1984970)Success in time 0.751 s
% 4.96/1.69 % Vampire exiting
%------------------------------------------------------------------------------