%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV625+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:59:35 PM UTC 2026
% Result : Theorem 15.96s 4.64s
% Output : Refutation 15.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 117 ( 24 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 132 ( 48 ~; 50 |; 24 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 80 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f239,axiom,
! [X0,X1,X2,X3] :
( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
<=> ( X2 = X3
& p(happ(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_HahnRelationsBasic.eqv_rel') ).
fof(f240,axiom,
! [X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
<=> ! [X2] :
( t(X2,X0)
=> ! [X3] :
( t(X3,X0)
=> ! [X4] :
( t(X4,X0)
=> ( p(happ(happ(X1,X2),X3))
=> ( p(happ(happ(X1,X2),X4))
=> X3 = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_HahnRelationsBasic.functional') ).
fof(f2155,axiom,
! [X0,X1,X2,X3] :
( p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3))
<=> cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_HahnRelationsBasic.eqv_rel_$a4') ).
fof(f2206,axiom,
! [X0,X1] : happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1) = cHahnRelationsBasic_2eeqv__rel___24a2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_HahnRelationsBasic.eqv_rel_$a2') ).
fof(f2848,conjecture,
cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2849,negated_conjecture,
~ cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
inference(negated_conjecture,[status(cth)],[f2848]) ).
fof(f2886,plain,
~ cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
inference(flattening,[],[f2849]) ).
fof(f3196,plain,
! [X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ p(happ(happ(X1,X2),X4))
| ~ p(happ(happ(X1,X2),X3))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ t(X2,X0) ) ),
inference(ennf_transformation,[],[f240]) ).
fof(f3197,plain,
! [X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ p(happ(happ(X1,X2),X4))
| ~ p(happ(happ(X1,X2),X3))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ t(X2,X0) ) ),
inference(flattening,[],[f3196]) ).
fof(f6762,plain,
! [X0,X1,X2,X3] :
( ( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| X2 != X3
| ~ p(happ(X1,X2)) )
& ( ( X2 = X3
& p(happ(X1,X2)) )
| ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f239]) ).
fof(f6763,plain,
! [X0,X1,X2,X3] :
( ( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| X2 != X3
| ~ p(happ(X1,X2)) )
& ( ( X2 = X3
& p(happ(X1,X2)) )
| ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ) ),
inference(flattening,[],[f6762]) ).
fof(f6764,plain,
! [X0,X1] :
( ( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| ? [X2] :
( ? [X3] :
( ? [X4] :
( X3 != X4
& p(happ(happ(X1,X2),X4))
& p(happ(happ(X1,X2),X3))
& t(X4,X0) )
& t(X3,X0) )
& t(X2,X0) ) )
& ( ! [X2] :
( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ p(happ(happ(X1,X2),X4))
| ~ p(happ(happ(X1,X2),X3))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ t(X2,X0) )
| ~ cHahnRelationsBasic_2efunctional___24a2(X0,X1) ) ),
inference(nnf_transformation,[],[f3197]) ).
fof(f6765,plain,
! [X0,X1] :
( ( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| ? [X2] :
( ? [X3] :
( ? [X4] :
( X3 != X4
& p(happ(happ(X1,X2),X4))
& p(happ(happ(X1,X2),X3))
& t(X4,X0) )
& t(X3,X0) )
& t(X2,X0) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( X6 = X7
| ~ p(happ(happ(X1,X5),X7))
| ~ p(happ(happ(X1,X5),X6))
| ~ t(X7,X0) )
| ~ t(X6,X0) )
| ~ t(X5,X0) )
| ~ cHahnRelationsBasic_2efunctional___24a2(X0,X1) ) ),
inference(rectify,[],[f6764]) ).
fof(f6766,plain,
! [X0,X1] :
( ( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| ( sK1196(X0,X1) != sK1197(X0,X1)
& p(happ(happ(X1,sK1195(X0,X1)),sK1197(X0,X1)))
& p(happ(happ(X1,sK1195(X0,X1)),sK1196(X0,X1)))
& t(sK1197(X0,X1),X0)
& t(sK1196(X0,X1),X0)
& t(sK1195(X0,X1),X0) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( X6 = X7
| ~ p(happ(happ(X1,X5),X7))
| ~ p(happ(happ(X1,X5),X6))
| ~ t(X7,X0) )
| ~ t(X6,X0) )
| ~ t(X5,X0) )
| ~ cHahnRelationsBasic_2efunctional___24a2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1195,sK1196,sK1197]),skolemize(X2,sK1195(X0,X1)),skolemize(X3,sK1196(X0,X1)),skolemize(X4,sK1197(X0,X1))],[f6765]) ).
fof(f9427,plain,
! [X0,X1,X2,X3] :
( ( p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3))
| ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) )
& ( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| ~ p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f2155]) ).
fof(f11436,plain,
! [X2,X3,X0,X1] :
( ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f6763]) ).
fof(f11442,plain,
! [X0,X1] :
( p(happ(happ(X1,sK1195(X0,X1)),sK1196(X0,X1)))
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f6766]) ).
fof(f11443,plain,
! [X0,X1] :
( p(happ(happ(X1,sK1195(X0,X1)),sK1197(X0,X1)))
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f6766]) ).
fof(f11444,plain,
! [X0,X1] :
( sK1196(X0,X1) != sK1197(X0,X1)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f6766]) ).
fof(f16228,plain,
! [X2,X3,X0,X1] :
( ~ p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3))
| cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f9427]) ).
fof(f16295,plain,
! [X0,X1] : happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1) = cHahnRelationsBasic_2eeqv__rel___24a2(X0,X1),
inference(cnf_transformation,[],[f2206]) ).
fof(f17397,plain,
~ cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
inference(cnf_transformation,[],[f2886]) ).
fof(f18682,plain,
~ cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(definition_unfolding,[],[f17397,f16295]) ).
fof(f19539,plain,
! [X2,X0,X1] :
( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,sK1195(X2,happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1)),sK1196(X2,happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1)))
| cHahnRelationsBasic_2efunctional___24a2(X2,happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1)) ),
inference(resolution,[],[f16228,f11442]) ).
fof(f19540,plain,
! [X2,X0,X1] :
( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,sK1195(X2,happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1)),sK1197(X2,happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1)))
| cHahnRelationsBasic_2efunctional___24a2(X2,happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1)) ),
inference(resolution,[],[f16228,f11443]) ).
fof(f19643,plain,
! [X2,X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,X1),X2))
| sK1195(X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,X1),X2)) = sK1196(X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,X1),X2)) ),
inference(resolution,[],[f19539,f11436]) ).
fof(f19646,plain,
! [X2,X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,X1),X2))
| sK1195(X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,X1),X2)) = sK1197(X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,X1),X2)) ),
inference(resolution,[],[f19540,f11436]) ).
fof(f20104,plain,
sK1195(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK1196(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(resolution,[],[f19643,f18682]) ).
fof(f20119,plain,
sK1195(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK1197(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(resolution,[],[f19646,f18682]) ).
fof(f20128,plain,
( sK1195(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) != sK1196(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) ),
inference(superposition,[],[f11444,f20119]) ).
fof(f20131,plain,
( sK1195(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) != sK1195(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) ),
inference(forward_demodulation,[],[f20128,f20104]) ).
fof(f20132,plain,
cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(trivial_inequality_removal,[],[f20131]) ).
fof(f20133,plain,
$false,
inference(global_subsumption,[],[f20132,f18682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV625+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 06:44:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.81/2.22 % (3776764)Will run a generic schedule for satisfiability detection.
% 11.81/2.22 % (3776770)% WARNING: option uhcvi not known.
% 11.81/2.22 % (3776770)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2116367463:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 11.81/2.22 % (3776769)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1893646659_2998 on theBenchmark for (2998ds/0Mi)
% 11.81/2.22 % (3776771)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2399083388:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 11.81/2.22 % (3776772)dis+10_1_sil=32000:sp=arity:random_seed=2510319191:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 11.81/2.22 % (3776773)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1087331444:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 11.81/2.22 % (3776774)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3031981306:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 11.81/2.22 % (3776775)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1621090858:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 11.81/2.22 % (3776772)Instruction limit reached!
% 11.81/2.22 % (3776772)------------------------------
% 11.81/2.22 % (3776772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.22 % (3776772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.22 % (3776772)CaDiCaL version: 2.1.3
% 11.81/2.22 % (3776772)Termination reason: Instruction limit
% 11.81/2.22 % (3776772)Termination phase: Preprocessing 3
% 11.81/2.22 % (3776772)Time elapsed: 0.063 s
% 11.81/2.22 % (3776772)Peak memory usage: 19 MB
% 11.81/2.22 % (3776772)Instructions burned: 104 (million)
% 11.81/2.22 % (3776773)Instruction limit reached!
% 11.81/2.22 % (3776773)------------------------------
% 11.81/2.22 % (3776773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.22 % (3776773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.22 % (3776773)CaDiCaL version: 2.1.3
% 11.81/2.22 % (3776773)Termination reason: Instruction limit
% 11.81/2.22 % (3776773)Termination phase: NewCNF
% 11.81/2.22 % (3776773)Time elapsed: 0.069 s
% 11.81/2.22 % (3776773)Peak memory usage: 19 MB
% 11.81/2.22 % (3776773)Instructions burned: 116 (million)
% 11.81/2.22 % (3776774)Instruction limit reached!
% 11.81/2.22 % (3776774)------------------------------
% 11.81/2.22 % (3776774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.22 % (3776774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.22 % (3776774)CaDiCaL version: 2.1.3
% 11.81/2.22 % (3776774)Termination reason: Instruction limit
% 11.81/2.22 % (3776774)Termination phase: Property scanning
% 11.81/2.22 % (3776774)Time elapsed: 0.080 s
% 11.81/2.22 % (3776774)Peak memory usage: 21 MB
% 11.81/2.22 % (3776774)Instructions burned: 132 (million)
% 11.81/2.22 % (3776783)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1619917932:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 11.81/2.22 % (3776784)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3407449603:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 11.81/2.22 % (3776775)Instruction limit reached!
% 11.81/2.22 % (3776775)------------------------------
% 11.81/2.22 % (3776775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.22 % (3776775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.22 % (3776775)CaDiCaL version: 2.1.3
% 11.81/2.22 % (3776775)Termination reason: Instruction limit
% 11.81/2.22 % (3776775)Termination phase: Property scanning
% 11.81/2.22 % (3776775)Time elapsed: 0.090 s
% 11.81/2.22 % (3776775)Peak memory usage: 21 MB
% 11.81/2.22 % (3776775)Instructions burned: 161 (million)
% 11.81/2.22 % (3776785)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2647122407:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 11.81/2.22 % (3776788)ott-21_1_sil=16000:fs=off:random_seed=442853157:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 11.81/2.22 % (3776784)Instruction limit reached!
% 11.81/2.22 % (3776784)------------------------------
% 11.81/2.22 % (3776784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.22 % (3776784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.40 % (3776784)CaDiCaL version: 2.1.3
% 19.70/3.40 % (3776784)Termination reason: Instruction limit
% 19.70/3.40 % (3776784)Termination phase: Property scanning
% 19.70/3.40 % (3776784)Time elapsed: 0.079 s
% 19.70/3.40 % (3776784)Peak memory usage: 21 MB
% 19.70/3.40 % (3776784)Instructions burned: 134 (million)
% 19.70/3.40 % (3776791)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1537986279:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 19.70/3.40 % (3776788)Instruction limit reached!
% 19.70/3.40 % (3776788)------------------------------
% 19.70/3.40 % (3776788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.40 % (3776788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.40 % (3776788)CaDiCaL version: 2.1.3
% 19.70/3.40 % (3776788)Termination reason: Instruction limit
% 19.70/3.40 % (3776788)Termination phase: Property scanning
% 19.70/3.40 % (3776788)Time elapsed: 0.095 s
% 19.70/3.40 % (3776788)Peak memory usage: 21 MB
% 19.70/3.40 % (3776788)Instructions burned: 182 (million)
% 19.70/3.40 % (3776793)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4078353430:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 19.70/3.40 % (3776785)Instruction limit reached!
% 19.70/3.40 % (3776785)------------------------------
% 19.70/3.40 % (3776785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.40 % (3776785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.40 % (3776785)CaDiCaL version: 2.1.3
% 19.70/3.40 % (3776785)Termination reason: Instruction limit
% 19.70/3.40 % (3776785)Termination phase: Saturation
% 19.70/3.40 % (3776785)Time elapsed: 0.302 s
% 19.70/3.40 % (3776785)Peak memory usage: 25 MB
% 19.70/3.40 % (3776785)Instructions burned: 684 (million)
% 19.70/3.40 % (3776791)Instruction limit reached!
% 19.70/3.40 % (3776791)------------------------------
% 19.70/3.40 % (3776791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.40 % (3776791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.40 % (3776791)CaDiCaL version: 2.1.3
% 19.70/3.40 % (3776791)Termination reason: Instruction limit
% 19.70/3.40 % (3776791)Termination phase: Saturation
% 19.70/3.40 % (3776791)Time elapsed: 0.231 s
% 19.70/3.40 % (3776791)Peak memory usage: 25 MB
% 19.70/3.40 % (3776791)Instructions burned: 477 (million)
% 19.70/3.40 % (3776783)Instruction limit reached!
% 19.70/3.40 % (3776783)------------------------------
% 19.70/3.40 % (3776783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.40 % (3776783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.40 % (3776783)CaDiCaL version: 2.1.3
% 19.70/3.40 % (3776783)Termination reason: Instruction limit
% 19.70/3.40 % (3776783)Termination phase: Finite model building preprocessing
% 19.70/3.40 % (3776783)Time elapsed: 0.338 s
% 19.70/3.40 % (3776783)Peak memory usage: 30 MB
% 19.70/3.40 % (3776783)Instructions burned: 714 (million)
% 19.70/3.40 % (3776795)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4151545604:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 19.70/3.40 % (3776796)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1087508919:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 19.70/3.40 % (3776797)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3934283922:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 19.70/3.40 % (3776793)Instruction limit reached!
% 19.70/3.40 % (3776793)------------------------------
% 19.70/3.40 % (3776793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.40 % (3776793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.40 % (3776793)CaDiCaL version: 2.1.3
% 19.70/3.40 % (3776793)Termination reason: Instruction limit
% 19.70/3.40 % (3776793)Termination phase: Finite model building preprocessing
% 19.70/3.40 % (3776793)Time elapsed: 0.427 s
% 19.70/3.40 % (3776793)Peak memory usage: 29 MB
% 19.70/3.40 % (3776793)Instructions burned: 865 (million)
% 19.70/3.40 % (3776801)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2136800585:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 19.70/3.40 % (3776797)Instruction limit reached!
% 19.70/3.40 % (3776797)------------------------------
% 19.70/3.40 % (3776797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.40 % (3776797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776797)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776797)Termination reason: Instruction limit
% 15.96/4.63 % (3776797)Termination phase: Saturation
% 15.96/4.63 % (3776797)Time elapsed: 0.331 s
% 15.96/4.63 % (3776797)Peak memory usage: 28 MB
% 15.96/4.63 % (3776797)Instructions burned: 694 (million)
% 15.96/4.63 % (3776803)fmb+10_1_sil=64000:random_seed=2480617623:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 15.96/4.63 % (3776796)Instruction limit reached!
% 15.96/4.63 % (3776796)------------------------------
% 15.96/4.63 % (3776796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776796)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776796)Termination reason: Instruction limit
% 15.96/4.63 % (3776796)Termination phase: Finite model building preprocessing
% 15.96/4.63 % (3776796)Time elapsed: 0.439 s
% 15.96/4.63 % (3776796)Peak memory usage: 30 MB
% 15.96/4.63 % (3776796)Instructions burned: 890 (million)
% 15.96/4.63 % (3776805)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1615781639:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 15.96/4.63 % (3776795)Instruction limit reached!
% 15.96/4.63 % (3776795)------------------------------
% 15.96/4.63 % (3776795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776795)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776795)Termination reason: Instruction limit
% 15.96/4.63 % (3776795)Termination phase: Saturation
% 15.96/4.63 % (3776795)Time elapsed: 0.615 s
% 15.96/4.63 % (3776795)Peak memory usage: 36 MB
% 15.96/4.63 % (3776795)Instructions burned: 1179 (million)
% 15.96/4.63 % (3776807)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=479984021:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 15.96/4.63 % (3776801)Instruction limit reached!
% 15.96/4.63 % (3776801)------------------------------
% 15.96/4.63 % (3776801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776801)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776801)Termination reason: Instruction limit
% 15.96/4.63 % (3776801)Termination phase: Saturation
% 15.96/4.63 % (3776801)Time elapsed: 0.393 s
% 15.96/4.63 % (3776801)Peak memory usage: 32 MB
% 15.96/4.63 % (3776801)Instructions burned: 879 (million)
% 15.96/4.63 % (3776809)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3304338988:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 15.96/4.63 % TRYING [1]
% 15.96/4.63 % (3776769)Cannot represent all propositional literals internally
% 15.96/4.63 % (3776769)Refutation not found, incomplete strategy
% 15.96/4.63 % (3776769)------------------------------
% 15.96/4.63 % (3776769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776769)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776769)Termination reason: Refutation not found, incomplete strategy
% 15.96/4.63 % (3776769)Time elapsed: 1.268 s
% 15.96/4.63 % (3776769)Peak memory usage: 63 MB
% 15.96/4.63 % (3776769)Instructions burned: 2607 (million)
% 15.96/4.63 % (3776769)------------------------------
% 15.96/4.63 % (3776769)------------------------------
% 15.96/4.63 % (3776811)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1873890612:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 15.96/4.63 % (3776807)Instruction limit reached!
% 15.96/4.63 % (3776807)------------------------------
% 15.96/4.63 % (3776807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776807)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776807)Termination reason: Instruction limit
% 15.96/4.63 % (3776807)Termination phase: Finite model building preprocessing
% 15.96/4.63 % (3776807)Time elapsed: 0.457 s
% 15.96/4.63 % (3776807)Peak memory usage: 30 MB
% 15.96/4.63 % (3776807)Instructions burned: 920 (million)
% 15.96/4.63 % (3776813)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=359823943:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 15.96/4.63 % TRYING [1]
% 15.96/4.63 % (3776803)Cannot represent all propositional literals internally
% 15.96/4.63 % (3776803)Refutation not found, incomplete strategy
% 15.96/4.63 % (3776803)------------------------------
% 15.96/4.63 % (3776803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776803)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776803)Termination reason: Refutation not found, incomplete strategy
% 15.96/4.63 % (3776803)Time elapsed: 0.845 s
% 15.96/4.63 % (3776803)Peak memory usage: 45 MB
% 15.96/4.63 % (3776803)Instructions burned: 1739 (million)
% 15.96/4.63 % (3776803)------------------------------
% 15.96/4.63 % (3776803)------------------------------
% 15.96/4.63 % (3776815)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4028216824:fmbsr=2.30978:i=2174_2981 on theBenchmark for (2981ds/2174Mi)
% 15.96/4.63 % (3776805)Cannot represent all propositional literals internally
% 15.96/4.63 % (3776805)Refutation not found, incomplete strategy
% 15.96/4.63 % (3776805)------------------------------
% 15.96/4.63 % (3776805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776805)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776805)Termination reason: Refutation not found, incomplete strategy
% 15.96/4.63 % (3776805)Time elapsed: 0.822 s
% 15.96/4.63 % (3776805)Peak memory usage: 43 MB
% 15.96/4.63 % (3776805)Instructions burned: 1733 (million)
% 15.96/4.63 % (3776805)------------------------------
% 15.96/4.63 % (3776805)------------------------------
% 15.96/4.63 % (3776817)ott-2_1_sil=16000:newcnf=on:random_seed=1767266962:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 15.96/4.63 % (3776811)Instruction limit reached!
% 15.96/4.63 % (3776811)------------------------------
% 15.96/4.63 % (3776811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776811)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776811)Termination reason: Instruction limit
% 15.96/4.63 % (3776811)Termination phase: Saturation
% 15.96/4.63 % (3776811)Time elapsed: 0.569 s
% 15.96/4.63 % (3776811)Peak memory usage: 27 MB
% 15.96/4.63 % (3776811)Instructions burned: 1473 (million)
% 15.96/4.63 % (3776819)ott+10_1_sil=32000:tgt=ground:random_seed=3994648569:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 15.96/4.63 % (3776817)Instruction limit reached!
% 15.96/4.63 % (3776817)------------------------------
% 15.96/4.63 % (3776817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776817)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776817)Termination reason: Instruction limit
% 15.96/4.63 % (3776817)Termination phase: Saturation
% 15.96/4.63 % (3776817)Time elapsed: 0.390 s
% 15.96/4.63 % (3776817)Peak memory usage: 28 MB
% 15.96/4.63 % (3776817)Instructions burned: 871 (million)
% 15.96/4.63 % (3776821)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1177870506:i=54282_2977 on theBenchmark for (2977ds/54282Mi)
% 15.96/4.63 % (3776813)Cannot represent all propositional literals internally
% 15.96/4.63 % (3776813)Refutation not found, incomplete strategy
% 15.96/4.63 % (3776813)------------------------------
% 15.96/4.63 % (3776813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776813)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776813)Termination reason: Refutation not found, incomplete strategy
% 15.96/4.63 % (3776813)Time elapsed: 1.195 s
% 15.96/4.63 % (3776813)Peak memory usage: 57 MB
% 15.96/4.63 % (3776813)Instructions burned: 2485 (million)
% 15.96/4.63 % (3776813)------------------------------
% 15.96/4.63 % (3776813)------------------------------
% 15.96/4.63 % (3776823)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3195683774:i=3512:aac=none_2971 on theBenchmark for (2971ds/3512Mi)
% 15.96/4.63 % (3776815)Instruction limit reached!
% 15.96/4.63 % (3776815)------------------------------
% 15.96/4.63 % (3776815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.63 % (3776815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.63 % (3776815)CaDiCaL version: 2.1.3
% 15.96/4.63 % (3776815)Termination reason: Instruction limit
% 15.96/4.63 % (3776815)Termination phase: Finite model building preprocessing
% 15.96/4.63 % (3776815)Time elapsed: 1.149 s
% 15.96/4.63 % (3776815)Peak memory usage: 45 MB
% 15.96/4.63 % (3776815)Instructions burned: 2175 (million)
% 15.96/4.64 % (3776825)dis+21_1_sil=32000:sas=cadical:random_seed=110013770:i=3773:amm=off_2970 on theBenchmark for (2970ds/3773Mi)
% 15.96/4.64 % TRYING [1]
% 15.96/4.64 % (3776821)Cannot represent all propositional literals internally
% 15.96/4.64 % (3776821)Refutation not found, incomplete strategy
% 15.96/4.64 % (3776821)------------------------------
% 15.96/4.64 % (3776821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.64 % (3776821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.64 % (3776821)CaDiCaL version: 2.1.3
% 15.96/4.64 % (3776821)Termination reason: Refutation not found, incomplete strategy
% 15.96/4.64 % (3776821)Time elapsed: 1.252 s
% 15.96/4.64 % (3776821)Peak memory usage: 63 MB
% 15.96/4.64 % (3776821)Instructions burned: 2608 (million)
% 15.96/4.64 % (3776821)------------------------------
% 15.96/4.64 % (3776821)------------------------------
% 15.96/4.64 % (3776827)ott+11_1_sil=16000:gs=on:random_seed=4144939060:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2964 on theBenchmark for (2964ds/2251Mi)
% 15.96/4.64 % (3776809)Instruction limit reached!
% 15.96/4.64 % (3776809)------------------------------
% 15.96/4.64 % (3776809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.64 % (3776809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.64 % (3776809)CaDiCaL version: 2.1.3
% 15.96/4.64 % (3776809)Termination reason: Instruction limit
% 15.96/4.64 % (3776809)Termination phase: Saturation
% 15.96/4.64 % (3776809)Time elapsed: 2.751 s
% 15.96/4.64 % (3776809)Peak memory usage: 109 MB
% 15.96/4.64 % (3776809)Instructions burned: 5132 (million)
% 15.96/4.64 % (3776829)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2136279997:fmbsr=1.6:i=67534_2959 on theBenchmark for (2959ds/67534Mi)
% 15.96/4.64 % (3776827) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3776764-3776827"...
% 15.96/4.64 % (3776827)...printing done.
% 15.96/4.64 % (3776827)Refutation found. Thanks to Tanya!
% 15.96/4.64 % SZS status Theorem for theBenchmark
% 15.96/4.64 % SZS output start Proof for theBenchmark
% See solution above
% 15.96/4.64 % (3776827)------------------------------
% 15.96/4.64 % (3776827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/4.64 % (3776827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/4.64 % (3776827)CaDiCaL version: 2.1.3
% 15.96/4.64 % (3776827)Termination reason: Refutation
% 15.96/4.64 % (3776827)Time elapsed: 0.558 s
% 15.96/4.64 % (3776827)Peak memory usage: 42 MB
% 15.96/4.64 % (3776827)Instructions burned: 1011 (million)
% 15.96/4.64 % (3776764)Success in time 4.204 s
% 15.96/4.64 % Vampire exiting
%------------------------------------------------------------------------------