%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:39:37 AM UTC 2026
% Result : Theorem 6.45s 1.73s
% Output : Refutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 14 unt; 4 def)
% Number of atoms : 232 ( 110 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 240 ( 82 ~; 97 |; 47 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 5 con; 0-3 aty)
% Number of variables : 206 ( 0 sgn 150 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-abs') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X3
& X1 = vvar(X2) )
=> ( ( X2 = X3
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar0) ).
fof(f24,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X2 = X5
& X3 = vbind(X1,X0,X6) )
=> ( X5 != X1
=> ( X4 = vlookup(X2,X3)
=> X4 = vlookup(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup2) ).
fof(f51,axiom,
! [X0,X1,X2] :
( vlookup(X1,X0) = vsomeType(X2)
=> vtcheck(X0,vvar(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-var') ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X3,X4,X5,X6] :
( X0 = vabs(X3,X5,X4)
& X1 = varrow(X5,X6)
& vtcheck(vbind(X3,X5,X2),X4,X6) )
| ? [X7,X4,X8] :
( X0 = vapp(X7,X4)
& vtcheck(X2,X7,varrow(X8,X1))
& vtcheck(X2,X4,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-inv') ).
fof(f57,conjecture,
! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,vvar(X3))
& vtcheck(X2,vvar(X3),X4) )
=> vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-var') ).
fof(f58,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( ~ visFreeVar(X0,vvar(X3))
& vtcheck(X2,vvar(X3),X4) )
=> vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f70,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& vtcheck(X2,vvar(X3),X4) ),
inference(ennf_transformation,[],[f58]) ).
fof(f71,plain,
? [X0,X1,X2,X3,X4] :
( ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
& ~ visFreeVar(X0,vvar(X3))
& vtcheck(X2,vvar(X3),X4) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ vtcheck(X2,X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f77,plain,
! [X0,X1,X2] :
( vtcheck(X0,vvar(X1),X2)
| vsomeType(X2) != vlookup(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = vlookup(X5,X6)
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(ennf_transformation,[],[f24]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = vlookup(X5,X6)
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(flattening,[],[f89]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f104]) ).
fof(f149,definition,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP0(X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 = vvar(X3)
& vlookup(X3,X2) = vsomeType(X1) )
| ? [X4,X5,X6,X7] :
( vabs(X4,X6,X5) = X0
& varrow(X6,X7) = X1
& vtcheck(vbind(X4,X6,X2),X5,X7) )
| sP0(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(definition_folding,[],[f73,f149]) ).
fof(f164,plain,
( ~ vtcheck(vbind(sK11,sK12,sK13),vvar(sK14),sK15)
& ~ visFreeVar(sK11,vvar(sK14))
& vtcheck(sK13,vvar(sK14),sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14),skolemize(X4,sK15)],[f71]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ? [X8,X9,X10] :
( vapp(X8,X9) = X0
& vtcheck(X2,X8,varrow(X10,X1))
& vtcheck(X2,X9,X10) )
| ~ sP0(X0,X1,X2) ),
inference(nnf_transformation,[],[f149]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( vapp(X3,X4) = X0
& vtcheck(X2,X3,varrow(X5,X1))
& vtcheck(X2,X4,X5) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f165]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ( vapp(sK16(X0,X1,X2),sK17(X0,X1,X2)) = X0
& vtcheck(X2,sK16(X0,X1,X2),varrow(sK18(X0,X1,X2),X1))
& vtcheck(X2,sK17(X0,X1,X2),sK18(X0,X1,X2)) )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X3,sK16(X0,X1,X2)),skolemize(X4,sK17(X0,X1,X2)),skolemize(X5,sK18(X0,X1,X2))],[f166]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( vvar(sK19(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK19(X0,X1,X2),X2) )
| ( vabs(sK20(X0,X1,X2),sK22(X0,X1,X2),sK21(X0,X1,X2)) = X0
& varrow(sK22(X0,X1,X2),sK23(X0,X1,X2)) = X1
& vtcheck(vbind(sK20(X0,X1,X2),sK22(X0,X1,X2),X2),sK21(X0,X1,X2),sK23(X0,X1,X2)) )
| sP0(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22,sK23]),skolemize(X3,sK19(X0,X1,X2)),skolemize(X4,sK20(X0,X1,X2)),skolemize(X5,sK21(X0,X1,X2)),skolemize(X6,sK22(X0,X1,X2)),skolemize(X7,sK23(X0,X1,X2))],[f150]) ).
fof(f206,plain,
vtcheck(sK13,vvar(sK14),sK15),
inference(cnf_transformation,[],[f164]) ).
fof(f207,plain,
~ visFreeVar(sK11,vvar(sK14)),
inference(cnf_transformation,[],[f164]) ).
fof(f208,plain,
~ vtcheck(vbind(sK11,sK12,sK13),vvar(sK14),sK15),
inference(cnf_transformation,[],[f164]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| vapp(sK16(X0,X1,X2),sK17(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK20(X0,X1,X2),sK22(X0,X1,X2),sK21(X0,X1,X2)) = X0
| sP0(X0,X1,X2)
| vsomeType(X1) = vlookup(sK19(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK20(X0,X1,X2),sK22(X0,X1,X2),sK21(X0,X1,X2)) = X0
| sP0(X0,X1,X2)
| vvar(sK19(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f168]) ).
fof(f220,plain,
! [X2,X0,X1] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vlookup(X5,X6) = X4
| vlookup(X2,X3) != X4
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(cnf_transformation,[],[f90]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f105]) ).
fof(f292,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f293,plain,
! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X6,X5] :
( vlookup(X2,X3) = vlookup(X5,X6)
| X1 = X5
| X2 != X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f247]) ).
fof(f391,plain,
! [X3,X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,X3)
| X1 = X5
| vbind(X1,X0,X6) != X3 ),
inference(equality_resolution,[],[f390]) ).
fof(f392,plain,
! [X0,X1,X6,X5] :
( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
| X1 = X5 ),
inference(equality_resolution,[],[f391]) ).
fof(f424,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| X0 != X3
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f291]) ).
fof(f425,plain,
! [X3,X1] :
( visFreeVar(X3,X1)
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f424]) ).
fof(f426,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f425]) ).
fof(f507,plain,
( vvar(sK14) = vabs(sK20(vvar(sK14),sK15,sK13),sK22(vvar(sK14),sK15,sK13),sK21(vvar(sK14),sK15,sK13))
| sP0(vvar(sK14),sK15,sK13)
| vvar(sK14) = vvar(sK19(vvar(sK14),sK15,sK13)) ),
inference(resolution,[],[f217,f206]) ).
fof(f509,plain,
( sP0(vvar(sK14),sK15,sK13)
| vvar(sK14) = vvar(sK19(vvar(sK14),sK15,sK13)) ),
inference(forward_subsumption_resolution,[],[f507,f293]) ).
fof(f511,definition,
( spl90_1
<=> vvar(sK14) = vvar(sK19(vvar(sK14),sK15,sK13)) ),
introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).
fof(f512,plain,
( vvar(sK14) = vvar(sK19(vvar(sK14),sK15,sK13))
| ~ spl90_1 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,definition,
( spl90_2
<=> sP0(vvar(sK14),sK15,sK13) ),
introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).
fof(f515,plain,
( sP0(vvar(sK14),sK15,sK13)
| ~ spl90_2 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f516,plain,
( spl90_1
| spl90_2 ),
inference(avatar_split_clause,[],[f509,f514,f511]) ).
fof(f518,plain,
( vvar(sK14) = vabs(sK20(vvar(sK14),sK15,sK13),sK22(vvar(sK14),sK15,sK13),sK21(vvar(sK14),sK15,sK13))
| sP0(vvar(sK14),sK15,sK13)
| vsomeType(sK15) = vlookup(sK19(vvar(sK14),sK15,sK13),sK13) ),
inference(resolution,[],[f214,f206]) ).
fof(f521,plain,
( vvar(sK14) = vapp(sK16(vvar(sK14),sK15,sK13),sK17(vvar(sK14),sK15,sK13))
| ~ spl90_2 ),
inference(resolution,[],[f211,f515]) ).
fof(f523,plain,
( $false
| ~ spl90_2 ),
inference(forward_subsumption_resolution,[],[f521,f292]) ).
fof(f524,plain,
~ spl90_2,
inference(avatar_contradiction_clause,[],[f523]) ).
fof(f525,plain,
( sP0(vvar(sK14),sK15,sK13)
| vsomeType(sK15) = vlookup(sK19(vvar(sK14),sK15,sK13),sK13) ),
inference(forward_subsumption_resolution,[],[f518,f293]) ).
fof(f527,definition,
( spl90_3
<=> vsomeType(sK15) = vlookup(sK19(vvar(sK14),sK15,sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl90_3])],[avatar_definition]) ).
fof(f528,plain,
( vsomeType(sK15) = vlookup(sK19(vvar(sK14),sK15,sK13),sK13)
| ~ spl90_3 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f529,plain,
( spl90_3
| spl90_2 ),
inference(avatar_split_clause,[],[f525,f514,f527]) ).
fof(f533,plain,
( visFreeVar(sK19(vvar(sK14),sK15,sK13),vvar(sK14))
| ~ spl90_1 ),
inference(superposition,[],[f426,f512]) ).
fof(f538,plain,
! [X2,X3,X0,X1,X4] :
( vsomeType(X2) != vlookup(X0,X1)
| vtcheck(vbind(X3,X4,X1),vvar(X0),X2)
| X0 = X3 ),
inference(superposition,[],[f220,f392]) ).
fof(f540,plain,
( ! [X2,X0,X1] :
( vsomeType(X0) != vsomeType(sK15)
| vtcheck(vbind(X1,X2,sK13),vvar(sK19(vvar(sK14),sK15,sK13)),X0)
| sK19(vvar(sK14),sK15,sK13) = X1 )
| ~ spl90_3 ),
inference(superposition,[],[f538,f528]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( vsomeType(X0) != vsomeType(sK15)
| vtcheck(vbind(X1,X2,sK13),vvar(sK14),X0)
| sK19(vvar(sK14),sK15,sK13) = X1 )
| ~ spl90_1
| ~ spl90_3 ),
inference(forward_demodulation,[],[f540,f512]) ).
fof(f543,plain,
( ! [X0,X1] :
( vtcheck(vbind(X0,X1,sK13),vvar(sK14),sK15)
| sK19(vvar(sK14),sK15,sK13) = X0 )
| ~ spl90_1
| ~ spl90_3 ),
inference(equality_resolution,[],[f542]) ).
fof(f544,plain,
( sK11 = sK19(vvar(sK14),sK15,sK13)
| ~ spl90_1
| ~ spl90_3 ),
inference(resolution,[],[f543,f208]) ).
fof(f552,plain,
( visFreeVar(sK11,vvar(sK14))
| ~ spl90_1
| ~ spl90_3 ),
inference(superposition,[],[f533,f544]) ).
fof(f555,plain,
( $false
| ~ spl90_1
| ~ spl90_3 ),
inference(forward_subsumption_resolution,[],[f552,f207]) ).
fof(f556,plain,
( ~ spl90_1
| ~ spl90_3 ),
inference(avatar_contradiction_clause,[],[f555]) ).
cnf(s1,plain,
( spl90_1
| spl90_2 ),
inference(sat_conversion,[],[f516]) ).
cnf(s3,plain,
~ spl90_2,
inference(sat_conversion,[],[f524]) ).
cnf(s4,plain,
( spl90_2
| spl90_3 ),
inference(sat_conversion,[],[f529]) ).
cnf(s5,plain,
( ~ spl90_1
| ~ spl90_3 ),
inference(sat_conversion,[],[f556]) ).
cnf(s6,plain,
spl90_3,
inference(rat,[],[s4,s3]) ).
cnf(s7,plain,
~ spl90_1,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s3,s7]) ).
fof(f557,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM127+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n013.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 21:54:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.45/1.73 % (1623225)Detected formulas, will run a generic FOF schedule.
% 6.45/1.73 % (1623233)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2185878561:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.45/1.73 % (1623233)Refutation not found, incomplete strategy
% 6.45/1.73 % (1623233)------------------------------
% 6.45/1.73 % (1623233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623233)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623233)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.73 % (1623233)Time elapsed: 0.001 s
% 6.45/1.73 % (1623233)Peak memory usage: 88 MB
% 6.45/1.73 % (1623233)Instructions burned: 2 (million)
% 6.45/1.73 % (1623234)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4193000332:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.45/1.73 % (1623231)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=2658806235:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.45/1.73 % (1623232)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=2209604872:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.45/1.73 % (1623230)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=2079422694:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.45/1.73 % (1623236)dis-21_1_sil=8000:lcm=predicate:random_seed=4191467784: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)
% 6.45/1.73 % (1623235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2255240071:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.45/1.73 % (1623234)Instruction limit reached!
% 6.45/1.73 % (1623234)------------------------------
% 6.45/1.73 % (1623234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623234)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623234)Termination reason: Instruction limit
% 6.45/1.73 % (1623234)Termination phase: Saturation
% 6.45/1.73 % (1623234)Time elapsed: 0.071 s
% 6.45/1.73 % (1623234)Peak memory usage: 88 MB
% 6.45/1.73 % (1623234)Instructions burned: 119 (million)
% 6.45/1.73 % (1623236)Instruction limit reached!
% 6.45/1.73 % (1623236)------------------------------
% 6.45/1.73 % (1623236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623236)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623236)Termination reason: Instruction limit
% 6.45/1.73 % (1623236)Termination phase: Saturation
% 6.45/1.73 % (1623236)Time elapsed: 0.073 s
% 6.45/1.73 % (1623236)Peak memory usage: 89 MB
% 6.45/1.73 % (1623236)Instructions burned: 130 (million)
% 6.45/1.73 % (1623235)Instruction limit reached!
% 6.45/1.73 % (1623235)------------------------------
% 6.45/1.73 % (1623235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623235)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623235)Termination reason: Instruction limit
% 6.45/1.73 % (1623235)Termination phase: Saturation
% 6.45/1.73 % (1623235)Time elapsed: 0.088 s
% 6.45/1.73 % (1623235)Peak memory usage: 90 MB
% 6.45/1.73 % (1623235)Instructions burned: 140 (million)
% 6.45/1.73 % (1623233)------------------------------
% 6.45/1.73 % (1623233)------------------------------
% 6.45/1.73 % (1623247)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=1388483112:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.45/1.73 % (1623244)lrs+10_1_sil=8000:sp=occurrence:random_seed=2747903475:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.45/1.73 % (1623245)lrs+10_1_sil=32000:urr=on:br=off:random_seed=259918128:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.45/1.73 % (1623246)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1266976762:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.45/1.73 % (1623247)Instruction limit reached!
% 6.45/1.73 % (1623247)------------------------------
% 6.45/1.73 % (1623247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623247)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623247)Termination reason: Instruction limit
% 6.45/1.73 % (1623247)Termination phase: Saturation
% 6.45/1.73 % (1623247)Time elapsed: 0.080 s
% 6.45/1.73 % (1623247)Peak memory usage: 91 MB
% 6.45/1.73 % (1623247)Instructions burned: 249 (million)
% 6.45/1.73 % (1623245)Instruction limit reached!
% 6.45/1.73 % (1623245)------------------------------
% 6.45/1.73 % (1623245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623245)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623245)Termination reason: Instruction limit
% 6.45/1.73 % (1623245)Termination phase: Saturation
% 6.45/1.73 % (1623245)Time elapsed: 0.083 s
% 6.45/1.73 % (1623245)Peak memory usage: 90 MB
% 6.45/1.73 % (1623245)Instructions burned: 157 (million)
% 6.45/1.73 % (1623252)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2746453042:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.45/1.73 % (1623252)Refutation not found, incomplete strategy
% 6.45/1.73 % (1623252)------------------------------
% 6.45/1.73 % (1623252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623252)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623252)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.73 % (1623252)Time elapsed: 0.003 s
% 6.45/1.73 % (1623252)Peak memory usage: 88 MB
% 6.45/1.73 % (1623252)Instructions burned: 10 (million)
% 6.45/1.73 % (1623244)Instruction limit reached!
% 6.45/1.73 % (1623244)------------------------------
% 6.45/1.73 % (1623244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623244)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623244)Termination reason: Instruction limit
% 6.45/1.73 % (1623244)Termination phase: Saturation
% 6.45/1.73 % (1623244)Time elapsed: 0.180 s
% 6.45/1.73 % (1623244)Peak memory usage: 91 MB
% 6.45/1.73 % (1623244)Instructions burned: 286 (million)
% 6.45/1.73 % (1623246)Instruction limit reached!
% 6.45/1.73 % (1623246)------------------------------
% 6.45/1.73 % (1623246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623246)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623246)Termination reason: Instruction limit
% 6.45/1.73 % (1623246)Termination phase: Saturation
% 6.45/1.73 % (1623246)Time elapsed: 0.183 s
% 6.45/1.73 % (1623246)Peak memory usage: 91 MB
% 6.45/1.73 % (1623246)Instructions burned: 325 (million)
% 6.45/1.73 % (1623253)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=607125212:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.45/1.73 % (1623255)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=87823363:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.45/1.73 % (1623252)------------------------------
% 6.45/1.73 % (1623252)------------------------------
% 6.45/1.73 % (1623256)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2052189077:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.45/1.73 % (1623255)Instruction limit reached!
% 6.45/1.73 % (1623255)------------------------------
% 6.45/1.73 % (1623255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623255)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623255)Termination reason: Instruction limit
% 6.45/1.73 % (1623255)Termination phase: Saturation
% 6.45/1.73 % (1623255)Time elapsed: 0.073 s
% 6.45/1.73 % (1623255)Peak memory usage: 89 MB
% 6.45/1.73 % (1623255)Instructions burned: 114 (million)
% 6.45/1.73 % (1623256)Instruction limit reached!
% 6.45/1.73 % (1623256)------------------------------
% 6.45/1.73 % (1623256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623256)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623256)Termination reason: Instruction limit
% 6.45/1.73 % (1623256)Termination phase: Saturation
% 6.45/1.73 % (1623256)Time elapsed: 0.066 s
% 6.45/1.73 % (1623256)Peak memory usage: 88 MB
% 6.45/1.73 % (1623256)Instructions burned: 127 (million)
% 6.45/1.73 % (1623231)First to succeed.
% 6.45/1.73 % (1623231)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1623225"
% 6.45/1.73 % (1623259)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4284462706:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.45/1.73 % (1623230)Also succeeded, but the first one will report.
% 6.45/1.73 % (1623259)Instruction limit reached!
% 6.45/1.73 % (1623259)------------------------------
% 6.45/1.73 % (1623259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623259)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623259)Termination reason: Instruction limit
% 6.45/1.73 % (1623259)Termination phase: Saturation
% 6.45/1.73 % (1623259)Time elapsed: 0.062 s
% 6.45/1.73 % (1623259)Peak memory usage: 89 MB
% 6.45/1.73 % (1623259)Instructions burned: 114 (million)
% 6.45/1.73 % (1623261)lrs+10_1_sil=8000:sp=occurrence:random_seed=3780912615:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.45/1.73 % (1623262)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2339912025:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.45/1.73 % (1623262)Refutation not found, incomplete strategy
% 6.45/1.73 % (1623262)------------------------------
% 6.45/1.73 % (1623262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/1.73 % (1623262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/1.73 % (1623262)CaDiCaL version: 2.1.3
% 6.45/1.73 % (1623262)Termination reason: Refutation not found, incomplete strategy
% 6.45/1.73 % (1623262)Time elapsed: 0.002 s
% 6.45/1.73 % (1623262)Peak memory usage: 88 MB
% 6.45/1.73 % (1623262)Instructions burned: 2 (million)
% 6.45/1.73 % (1623265)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2977786451:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.45/1.73 % (1623261)Also succeeded, but the first one will report.
% 6.45/1.73 % (1623231)Refutation found. Thanks to Tanya!
% 6.45/1.73 % SZS status Theorem for theBenchmark
% 6.45/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 8.16/1.92 % (1623231)------------------------------
% 8.16/1.92 % (1623231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/1.92 % (1623231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/1.92 % (1623231)CaDiCaL version: 2.1.3
% 8.16/1.92 % (1623231)Termination reason: Refutation
% 8.16/1.92 % (1623231)Time elapsed: 0.660 s
% 8.16/1.92 % (1623231)Peak memory usage: 132 MB
% 8.16/1.92 % (1623231)Instructions burned: 997 (million)
% 8.16/1.92 % (1623231)------------------------------
% 8.16/1.92 % (1623231)------------------------------
% 8.16/1.92 % (1623225)Success in time 1.067 s
% 8.16/1.92 % Vampire exiting
%------------------------------------------------------------------------------