%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM142+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 : n003.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 09:39:39 AM UTC 2026
% Result : Theorem 6.08s 1.35s
% Output : Refutation 7.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 67 ( 14 unt; 2 def)
% Number of atoms : 207 ( 89 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 212 ( 72 ~; 78 |; 52 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 212 ( 0 sgn 158 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( vapp(X0,X1) = vapp(X2,X3)
=> ( X0 = X2
& X1 = X3 ) )
& ( ( X0 = X2
& X1 = X3 )
=> vapp(X0,X1) = vapp(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-app') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-abs-app') ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X1,X2,varrow(X0,X4))
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vapp(X2,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-app') ).
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(f55,axiom,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,ve1app,X3) )
=> vtcheck(vbind(X0,X1,X2),ve1app,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-app-IH1') ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,ve2app,X3) )
=> vtcheck(vbind(X0,X1,X2),ve2app,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-app-IH2') ).
fof(f57,conjecture,
! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-app') ).
fof(f58,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) )
=> vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
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(f63,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,X3) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve2app,X3) ),
inference(ennf_transformation,[],[f56]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve2app,X3) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f68,plain,
? [X0,X1,X2,X3] :
( ~ vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
& vlookup(X0,X2) = vnoType
& vtcheck(X2,vapp(ve1app,ve2app),X3) ),
inference(flattening,[],[f67]) ).
fof(f69,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(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X2,varrow(X0,X4))
| ~ vtcheck(X1,X3,X0) ),
inference(flattening,[],[f71]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ( ( X0 = X2
& X1 = X3 )
| vapp(X0,X1) != vapp(X2,X3) )
& ( vapp(X0,X1) = vapp(X2,X3)
| X0 != X2
| X1 != X3 ) ),
inference(flattening,[],[f90]) ).
fof(f101,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(f102,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,[],[f70,f101]) ).
fof(f105,plain,
( ~ vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5)
& vnoType = vlookup(sK2,sK4)
& vtcheck(sK4,vapp(ve1app,ve2app),sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f68]) ).
fof(f106,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,[],[f101]) ).
fof(f107,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,[],[f106]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X0
& vtcheck(X2,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1))
& vtcheck(X2,sK7(X0,X1,X2),sK8(X0,X1,X2)) )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2)),skolemize(X5,sK8(X0,X1,X2))],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( vvar(sK9(X0,X1,X2)) = X0
& vsomeType(X1) = vlookup(sK9(X0,X1,X2),X2) )
| ( vabs(sK10(X0,X1,X2),sK12(X0,X1,X2),sK11(X0,X1,X2)) = X0
& varrow(sK12(X0,X1,X2),sK13(X0,X1,X2)) = X1
& vtcheck(vbind(sK10(X0,X1,X2),sK12(X0,X1,X2),X2),sK11(X0,X1,X2),sK13(X0,X1,X2)) )
| sP0(X0,X1,X2)
| ~ vtcheck(X2,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X3,sK9(X0,X1,X2)),skolemize(X4,sK10(X0,X1,X2)),skolemize(X5,sK11(X0,X1,X2)),skolemize(X6,sK12(X0,X1,X2)),skolemize(X7,sK13(X0,X1,X2))],[f102]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,X2),ve1app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( vtcheck(vbind(X0,X1,X2),ve2app,X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve2app,X3) ),
inference(cnf_transformation,[],[f66]) ).
fof(f116,plain,
vtcheck(sK4,vapp(ve1app,ve2app),sK5),
inference(cnf_transformation,[],[f105]) ).
fof(f117,plain,
vnoType = vlookup(sK2,sK4),
inference(cnf_transformation,[],[f105]) ).
fof(f118,plain,
~ vtcheck(vbind(sK2,sK3,sK4),vapp(ve1app,ve2app),sK5),
inference(cnf_transformation,[],[f105]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| vtcheck(X2,sK7(X0,X1,X2),sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| vtcheck(X2,sK6(X0,X1,X2),varrow(sK8(X0,X1,X2),X1)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| vapp(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| vabs(sK10(X0,X1,X2),sK12(X0,X1,X2),sK11(X0,X1,X2)) = X0
| sP0(X0,X1,X2)
| vvar(sK9(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(X1,X2,varrow(X0,X4))
| vtcheck(X1,vapp(X2,X3),X4)
| ~ vtcheck(X1,X3,X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f159,plain,
! [X2,X3,X0,X1,X4] : vabs(X0,X1,X2) != vapp(X3,X4),
inference(cnf_transformation,[],[f6]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f91]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( vapp(X0,X1) != vapp(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),X3,X5)
| vtcheck(vbind(X0,X1,X2),vapp(ve1app,X3),X4)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,varrow(X5,X4)) ),
inference(resolution,[],[f128,f114]) ).
fof(f231,definition,
( spl23_2
<=> sP0(vapp(ve1app,ve2app),sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f232,plain,
( sP0(vapp(ve1app,ve2app),sK5,sK4)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f248,plain,
( vapp(ve1app,ve2app) = vabs(sK10(vapp(ve1app,ve2app),sK5,sK4),sK12(vapp(ve1app,ve2app),sK5,sK4),sK11(vapp(ve1app,ve2app),sK5,sK4))
| sP0(vapp(ve1app,ve2app),sK5,sK4)
| vapp(ve1app,ve2app) = vvar(sK9(vapp(ve1app,ve2app),sK5,sK4)) ),
inference(resolution,[],[f127,f116]) ).
fof(f273,plain,
( sP0(vapp(ve1app,ve2app),sK5,sK4)
| vapp(ve1app,ve2app) = vvar(sK9(vapp(ve1app,ve2app),sK5,sK4)) ),
inference(forward_subsumption_resolution,[],[f248,f159]) ).
fof(f274,plain,
sP0(vapp(ve1app,ve2app),sK5,sK4),
inference(forward_subsumption_resolution,[],[f273,f163]) ).
fof(f275,plain,
spl23_2,
inference(avatar_split_clause,[],[f274,f231]) ).
fof(f285,plain,
( vtcheck(sK4,sK7(vapp(ve1app,ve2app),sK5,sK4),sK8(vapp(ve1app,ve2app),sK5,sK4))
| ~ spl23_2 ),
inference(resolution,[],[f232,f119]) ).
fof(f286,plain,
( vtcheck(sK4,sK6(vapp(ve1app,ve2app),sK5,sK4),varrow(sK8(vapp(ve1app,ve2app),sK5,sK4),sK5))
| ~ spl23_2 ),
inference(resolution,[],[f232,f120]) ).
fof(f300,plain,
( vapp(ve1app,ve2app) = vapp(sK6(vapp(ve1app,ve2app),sK5,sK4),sK7(vapp(ve1app,ve2app),sK5,sK4))
| ~ spl23_2 ),
inference(resolution,[],[f121,f232]) ).
fof(f303,plain,
( ! [X0,X1] :
( vapp(X0,X1) != vapp(ve1app,ve2app)
| sK7(vapp(ve1app,ve2app),sK5,sK4) = X1 )
| ~ spl23_2 ),
inference(superposition,[],[f161,f300]) ).
fof(f305,plain,
( ! [X0,X1] :
( vapp(X0,X1) != vapp(ve1app,ve2app)
| sK6(vapp(ve1app,ve2app),sK5,sK4) = X0 )
| ~ spl23_2 ),
inference(superposition,[],[f162,f300]) ).
fof(f307,plain,
( ve1app = sK6(vapp(ve1app,ve2app),sK5,sK4)
| ~ spl23_2 ),
inference(equality_resolution,[],[f305]) ).
fof(f309,plain,
( vtcheck(sK4,ve1app,varrow(sK8(vapp(ve1app,ve2app),sK5,sK4),sK5))
| ~ spl23_2 ),
inference(superposition,[],[f286,f307]) ).
fof(f310,plain,
( ve2app = sK7(vapp(ve1app,ve2app),sK5,sK4)
| ~ spl23_2 ),
inference(equality_resolution,[],[f303]) ).
fof(f313,plain,
( vtcheck(sK4,ve2app,sK8(vapp(ve1app,ve2app),sK5,sK4))
| ~ spl23_2 ),
inference(superposition,[],[f285,f310]) ).
fof(f600,plain,
! [X2,X3,X0,X1,X4] :
( vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,varrow(X4,X3))
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve2app,X4) ),
inference(resolution,[],[f220,f115]) ).
fof(f603,plain,
! [X2,X3,X0,X1,X4] :
( ~ vtcheck(X2,ve2app,X4)
| vnoType != vlookup(X0,X2)
| ~ vtcheck(X2,ve1app,varrow(X4,X3))
| vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) ),
inference(duplicate_literal_removal,[],[f600]) ).
fof(f604,plain,
( $false
| ~ spl23_2 ),
inference(unit_resulting_resolution,[],[f603,f313,f309,f117,f118]) ).
fof(f607,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f604]) ).
cnf(s6,plain,
spl23_2,
inference(sat_conversion,[],[f275]) ).
cnf(s35,plain,
~ spl23_2,
inference(sat_conversion,[],[f607]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s6,s35]) ).
fof(f608,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM142+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:57:28 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 6.08/1.35 % (2075981)Detected formulas, will run a generic FOF schedule.
% 6.08/1.35 % (2075991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4020234687:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.08/1.35 % (2075990)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3038633306:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.08/1.35 % (2075992)dis-21_1_sil=8000:lcm=predicate:random_seed=898831345: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)
% 6.08/1.35 % (2075986)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=4212288224:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.08/1.35 % (2075989)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3331473278:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.08/1.35 % (2075988)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=2057616032:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.08/1.35 % (2075987)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=1453016009:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.08/1.35 % (2075989)Refutation not found, incomplete strategy
% 6.08/1.35 % (2075989)------------------------------
% 6.08/1.35 % (2075989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2075989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2075989)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2075989)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.35 % (2075989)Time elapsed: 0.002 s
% 6.08/1.35 % (2075989)Peak memory usage: 88 MB
% 6.08/1.35 % (2075989)Instructions burned: 1 (million)
% 6.08/1.35 % (2075991)Instruction limit reached!
% 6.08/1.35 % (2075991)------------------------------
% 6.08/1.35 % (2075991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2075991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2075991)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2075991)Termination reason: Instruction limit
% 6.08/1.35 % (2075991)Termination phase: Saturation
% 6.08/1.35 % (2075991)Time elapsed: 0.048 s
% 6.08/1.35 % (2075991)Peak memory usage: 90 MB
% 6.08/1.35 % (2075991)Instructions burned: 142 (million)
% 6.08/1.35 % (2075990)Instruction limit reached!
% 6.08/1.35 % (2075990)------------------------------
% 6.08/1.35 % (2075990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2075990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2075990)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2075990)Termination reason: Instruction limit
% 6.08/1.35 % (2075990)Termination phase: Saturation
% 6.08/1.35 % (2075990)Time elapsed: 0.064 s
% 6.08/1.35 % (2075990)Peak memory usage: 89 MB
% 6.08/1.35 % (2075990)Instructions burned: 120 (million)
% 6.08/1.35 % (2075992)Instruction limit reached!
% 6.08/1.35 % (2075992)------------------------------
% 6.08/1.35 % (2075992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2075992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2075992)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2075992)Termination reason: Instruction limit
% 6.08/1.35 % (2075992)Termination phase: Saturation
% 6.08/1.35 % (2075992)Time elapsed: 0.072 s
% 6.08/1.35 % (2075992)Peak memory usage: 89 MB
% 6.08/1.35 % (2075992)Instructions burned: 131 (million)
% 6.08/1.35 % (2076000)lrs+10_1_sil=8000:sp=occurrence:random_seed=2668460916:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.08/1.35 % (2076000)Instruction limit reached!
% 6.08/1.35 % (2076000)------------------------------
% 6.08/1.35 % (2076000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076000)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076000)Termination reason: Instruction limit
% 6.08/1.35 % (2076000)Termination phase: Saturation
% 6.08/1.35 % (2076000)Time elapsed: 0.087 s
% 6.08/1.35 % (2076000)Peak memory usage: 91 MB
% 6.08/1.35 % (2076000)Instructions burned: 288 (million)
% 6.08/1.35 % (2076001)lrs+10_1_sil=32000:urr=on:br=off:random_seed=633610765:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.08/1.35 % (2076002)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4034061188:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.08/1.35 % (2075989)------------------------------
% 6.08/1.35 % (2075989)------------------------------
% 6.08/1.35 % (2076005)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=902661127:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.08/1.35 % (2076001)Instruction limit reached!
% 6.08/1.35 % (2076001)------------------------------
% 6.08/1.35 % (2076001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076001)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076001)Termination reason: Instruction limit
% 6.08/1.35 % (2076001)Termination phase: Saturation
% 6.08/1.35 % (2076001)Time elapsed: 0.098 s
% 6.08/1.35 % (2076001)Peak memory usage: 91 MB
% 6.08/1.35 % (2076001)Instructions burned: 157 (million)
% 6.08/1.35 % (2076005)Instruction limit reached!
% 6.08/1.35 % (2076005)------------------------------
% 6.08/1.35 % (2076005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076005)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076005)Termination reason: Instruction limit
% 6.08/1.35 % (2076005)Termination phase: Saturation
% 6.08/1.35 % (2076005)Time elapsed: 0.064 s
% 6.08/1.35 % (2076005)Peak memory usage: 92 MB
% 6.08/1.35 % (2076005)Instructions burned: 249 (million)
% 6.08/1.35 % (2076007)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1413630029:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.08/1.35 % (2076007)Refutation not found, incomplete strategy
% 6.08/1.35 % (2076007)------------------------------
% 6.08/1.35 % (2076007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076007)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076007)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.35 % (2076007)Time elapsed: 0.007 s
% 6.08/1.35 % (2076007)Peak memory usage: 89 MB
% 6.08/1.35 % (2076007)Instructions burned: 11 (million)
% 6.08/1.35 % (2076002)Instruction limit reached!
% 6.08/1.35 % (2076002)------------------------------
% 6.08/1.35 % (2076002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076002)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076002)Termination reason: Instruction limit
% 6.08/1.35 % (2076002)Termination phase: Saturation
% 6.08/1.35 % (2076002)Time elapsed: 0.200 s
% 6.08/1.35 % (2076002)Peak memory usage: 91 MB
% 6.08/1.35 % (2076002)Instructions burned: 326 (million)
% 6.08/1.35 % (2076009)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4167968501:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.08/1.35 % (2076010)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1344546516:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.08/1.35 % (2076010)Instruction limit reached!
% 6.08/1.35 % (2076010)------------------------------
% 6.08/1.35 % (2076010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076010)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076010)Termination reason: Instruction limit
% 6.08/1.35 % (2076010)Termination phase: Saturation
% 6.08/1.35 % (2076010)Time elapsed: 0.036 s
% 6.08/1.35 % (2076010)Peak memory usage: 88 MB
% 6.08/1.35 % (2076010)Instructions burned: 114 (million)
% 6.08/1.35 % (2076012)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=907039883:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.08/1.35 % (2076015)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=849619258:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.08/1.35 % (2076015)Instruction limit reached!
% 6.08/1.35 % (2076015)------------------------------
% 6.08/1.35 % (2076015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076015)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076015)Termination reason: Instruction limit
% 6.08/1.35 % (2076015)Termination phase: Saturation
% 6.08/1.35 % (2076015)Time elapsed: 0.027 s
% 6.08/1.35 % (2076015)Peak memory usage: 88 MB
% 6.08/1.35 % (2076015)Instructions burned: 117 (million)
% 6.08/1.35 % (2076012)Instruction limit reached!
% 6.08/1.35 % (2076012)------------------------------
% 6.08/1.35 % (2076012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076012)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076012)Termination reason: Instruction limit
% 6.08/1.35 % (2076012)Termination phase: Saturation
% 6.08/1.35 % (2076012)Time elapsed: 0.063 s
% 6.08/1.35 % (2076012)Peak memory usage: 88 MB
% 6.08/1.35 % (2076012)Instructions burned: 127 (million)
% 6.08/1.35 % (2076007)------------------------------
% 6.08/1.35 % (2076007)------------------------------
% 6.08/1.35 % (2075987)First to succeed.
% 6.08/1.35 % (2075987)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2075981"
% 6.08/1.35 % (2075986)Also succeeded, but the first one will report.
% 6.08/1.35 % (2076018)lrs+10_1_sil=8000:sp=occurrence:random_seed=1061899995:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.08/1.35 % (2076019)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3438581745:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.08/1.35 % (2076019)Refutation not found, incomplete strategy
% 6.08/1.35 % (2076019)------------------------------
% 6.08/1.35 % (2076019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.08/1.35 % (2076019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.35 % (2076019)CaDiCaL version: 2.1.3
% 6.08/1.35 % (2076019)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.35 % (2076019)Time elapsed: 0.002 s
% 6.08/1.35 % (2076019)Peak memory usage: 88 MB
% 6.08/1.35 % (2076019)Instructions burned: 1 (million)
% 6.08/1.35 % (2076020)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=216239620:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.08/1.35 % (2075987)Refutation found. Thanks to Tanya!
% 6.08/1.35 % SZS status Theorem for theBenchmark
% 6.08/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 7.05/1.54 % (2075987)------------------------------
% 7.05/1.54 % (2075987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.05/1.54 % (2075987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.05/1.54 % (2075987)CaDiCaL version: 2.1.3
% 7.05/1.54 % (2075987)Termination reason: Refutation
% 7.05/1.54 % (2075987)Time elapsed: 0.640 s
% 7.05/1.54 % (2075987)Peak memory usage: 130 MB
% 7.05/1.54 % (2075987)Instructions burned: 995 (million)
% 7.05/1.54 % (2075987)------------------------------
% 7.05/1.54 % (2075987)------------------------------
% 7.05/1.54 % (2075981)Success in time 0.936 s
% 7.05/1.54 % Vampire exiting
%------------------------------------------------------------------------------