%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP019+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 11:35:38 AM UTC 2026
% Result : Theorem 65.11s 12.31s
% Output : Refutation 65.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 18 unt; 1 def)
% Number of atoms : 44 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 5 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1248,axiom,
c_2Earithmetic_2EZERO = c_2Enum_2E0,
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP016+5.ax',ax_thm_2Earithmetic_2EALT__ZERO) ).
fof(f16821,axiom,
ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__0) ).
fof(f16823,axiom,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__INV) ).
fof(f16826,conjecture,
! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).
fof(f16827,negated_conjecture,
~ ! [X0] :
( mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
=> ( X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
=> ap(c_2Ecomplex_2Ecomplex__inv,X0) != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) ) ),
inference(negated_conjecture,[status(cth)],[f16826]) ).
fof(f36544,plain,
! [X0] :
( ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,X0)) = X0
| ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f16823]) ).
fof(f36547,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(ennf_transformation,[],[f16827]) ).
fof(f36548,plain,
? [X0] :
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,X0)
& X0 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)
& mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)) ),
inference(flattening,[],[f36547]) ).
fof(f39711,plain,
c_2Enum_2E0 = c_2Earithmetic_2EZERO,
inference(cnf_transformation,[],[f1248]) ).
fof(f94122,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0)),
inference(cnf_transformation,[],[f16821]) ).
fof(f94124,plain,
! [X0] :
( ~ mem(X0,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal))
| ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,X0)) = X0 ),
inference(cnf_transformation,[],[f36544]) ).
fof(f94128,plain,
mem(sK17568,ty_2Epair_2Eprod(ty_2Erealax_2Ereal,ty_2Erealax_2Ereal)),
inference(cnf_transformation,[],[f36548]) ).
fof(f94129,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) != sK17568,
inference(cnf_transformation,[],[f36548]) ).
fof(f94130,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Enum_2E0) = ap(c_2Ecomplex_2Ecomplex__inv,sK17568),
inference(cnf_transformation,[],[f36548]) ).
fof(f101349,plain,
ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)),
inference(definition_unfolding,[],[f94122,f39711,f39711]) ).
fof(f101352,plain,
ap(c_2Ecomplex_2Ecomplex__inv,sK17568) = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO),
inference(definition_unfolding,[],[f94130,f39711]) ).
fof(f101353,plain,
sK17568 != ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO),
inference(definition_unfolding,[],[f94129,f39711]) ).
fof(f113908,definition,
( spl17569_1
<=> ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)) ),
introduced(definition,[new_symbols(definition,[spl17569_1])],[avatar_definition]) ).
fof(f113910,plain,
( ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO) = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO))
| ~ spl17569_1 ),
inference(avatar_component_clause,[],[f113908]) ).
fof(f113916,plain,
spl17569_1,
inference(avatar_split_clause,[],[f101349,f113908]) ).
fof(f186493,plain,
sK17568 = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__inv,sK17568)),
inference(resolution,[],[f94124,f94128]) ).
fof(f186494,plain,
sK17568 = ap(c_2Ecomplex_2Ecomplex__inv,ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)),
inference(forward_demodulation,[],[f186493,f101352]) ).
fof(f187046,plain,
( sK17568 = ap(c_2Ecomplex_2Ecomplex__of__num,c_2Earithmetic_2EZERO)
| ~ spl17569_1 ),
inference(superposition,[],[f186494,f113910]) ).
fof(f187068,plain,
( $false
| ~ spl17569_1 ),
inference(forward_subsumption_resolution,[],[f187046,f101353]) ).
fof(f187069,plain,
~ spl17569_1,
inference(avatar_contradiction_clause,[],[f187068]) ).
cnf(s2,plain,
spl17569_1,
inference(sat_conversion,[],[f113916]) ).
cnf(s11239,plain,
~ spl17569_1,
inference(sat_conversion,[],[f187069]) ).
cnf(s18959,plain,
$false,
inference(rat,[],[s2,s11239]) ).
fof(f187070,plain,
$false,
inference(avatar_sat_refutation,[],[s18959]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP019+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 % Computer : n019.cluster.edu
% 0.14/0.44 % Model : x86_64 x86_64
% 0.14/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.44 % Memory : 8046.5625MB
% 0.14/0.44 % OS : Linux 6.8.0-71-generic
% 0.14/0.44 % CPULimit : 300
% 0.14/0.44 % WCLimit : 300
% 0.14/0.44 % DateTime : Sun Sep 27 12:05:52 UTC 2026
% 0.14/0.45 % CPUTime :
% 0.14/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.50 Running first-order model finding
% 0.19/0.50 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
% 41.16/8.95 % (2970743)Will run a generic schedule for satisfiability detection.
% 41.16/8.95 % (2970782)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=393604194_2969 on theBenchmark for (2969ds/0Mi)
% 41.16/8.95 % (2970788)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3003979453:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2969 on theBenchmark for (2969ds/159Mi)
% 41.16/8.95 % (2970783)% WARNING: option uhcvi not known.
% 41.16/8.95 % (2970783)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3402818016:i=135531:add=off:rawr=on_2969 on theBenchmark for (2969ds/135531Mi)
% 41.16/8.95 % (2970784)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1621307128:i=88024:add=on:rawr=on_2969 on theBenchmark for (2969ds/88024Mi)
% 41.16/8.95 % (2970785)dis+10_1_sil=32000:sp=arity:random_seed=3733567986:i=103:fgj=on_2969 on theBenchmark for (2969ds/103Mi)
% 41.16/8.95 % (2970786)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=948548509:i=116_2969 on theBenchmark for (2969ds/116Mi)
% 41.16/8.95 % (2970787)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1599522469:i=131_2969 on theBenchmark for (2969ds/131Mi)
% 41.16/8.95 % (2970788)Instruction limit reached!
% 41.16/8.95 % (2970788)------------------------------
% 41.16/8.95 % (2970788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.16/8.95 % (2970788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.16/8.95 % (2970788)CaDiCaL version: 2.1.3
% 41.16/8.95 % (2970788)Termination reason: Instruction limit
% 41.16/8.95 % (2970788)Termination phase: Preprocessing 1
% 41.16/8.95 % (2970788)Time elapsed: 0.095 s
% 41.16/8.95 % (2970788)Peak memory usage: 55 MB
% 41.16/8.95 % (2970788)Instructions burned: 160 (million)
% 41.16/8.95 % (2970785)Instruction limit reached!
% 41.16/8.95 % (2970785)------------------------------
% 41.16/8.95 % (2970785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.16/8.95 % (2970785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.16/8.95 % (2970785)CaDiCaL version: 2.1.3
% 41.16/8.95 % (2970785)Termination reason: Instruction limit
% 41.16/8.95 % (2970785)Termination phase: Preprocessing 1
% 41.16/8.95 % (2970785)Time elapsed: 0.103 s
% 41.16/8.95 % (2970785)Peak memory usage: 54 MB
% 41.16/8.95 % (2970785)Instructions burned: 103 (million)
% 41.16/8.95 % (2970796)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2188529139:i=714:nm=2_2968 on theBenchmark for (2968ds/714Mi)
% 41.16/8.95 % (2970786)Instruction limit reached!
% 41.16/8.95 % (2970786)------------------------------
% 41.16/8.95 % (2970786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.16/8.95 % (2970786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.16/8.95 % (2970786)CaDiCaL version: 2.1.3
% 41.16/8.95 % (2970786)Termination reason: Instruction limit
% 41.16/8.95 % (2970786)Termination phase: Preprocessing 1
% 41.16/8.95 % (2970786)Time elapsed: 0.123 s
% 41.16/8.95 % (2970786)Peak memory usage: 54 MB
% 41.16/8.95 % (2970786)Instructions burned: 117 (million)
% 41.16/8.95 % (2970797)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3181843197:i=131:bd=preordered:fsd=on_2968 on theBenchmark for (2968ds/131Mi)
% 41.16/8.95 % (2970787)Instruction limit reached!
% 41.16/8.95 % (2970787)------------------------------
% 41.16/8.95 % (2970787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.16/8.95 % (2970787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.16/8.95 % (2970787)CaDiCaL version: 2.1.3
% 41.16/8.95 % (2970787)Termination reason: Instruction limit
% 41.16/8.95 % (2970787)Termination phase: Preprocessing 1
% 41.16/8.95 % (2970787)Time elapsed: 0.131 s
% 41.16/8.95 % (2970787)Peak memory usage: 54 MB
% 41.16/8.95 % (2970787)Instructions burned: 131 (million)
% 41.16/8.95 % (2970801)ott-21_1_sil=16000:fs=off:random_seed=325603306:i=180:av=off:fsr=off_2967 on theBenchmark for (2967ds/180Mi)
% 41.16/8.95 % (2970800)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=2441754739:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2967 on theBenchmark for (2967ds/684Mi)
% 41.16/8.95 % (2970797)Instruction limit reached!
% 41.16/8.95 % (2970797)------------------------------
% 41.16/8.95 % (2970797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.16/8.95 % (2970797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970797)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970797)Termination reason: Instruction limit
% 64.56/12.29 % (2970797)Termination phase: Preprocessing 1
% 64.56/12.29 % (2970797)Time elapsed: 0.077 s
% 64.56/12.29 % (2970797)Peak memory usage: 55 MB
% 64.56/12.29 % (2970797)Instructions burned: 132 (million)
% 64.56/12.29 % (2970804)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2704692878:i=477:bd=all_2967 on theBenchmark for (2967ds/477Mi)
% 64.56/12.29 % (2970801)Instruction limit reached!
% 64.56/12.29 % (2970801)------------------------------
% 64.56/12.29 % (2970801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970801)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970801)Termination reason: Instruction limit
% 64.56/12.29 % (2970801)Termination phase: Preprocessing 1
% 64.56/12.29 % (2970801)Time elapsed: 0.132 s
% 64.56/12.29 % (2970801)Peak memory usage: 54 MB
% 64.56/12.29 % (2970801)Instructions burned: 181 (million)
% 64.56/12.29 % (2970808)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=398688586:fmbsr=1.3:i=865:ins=25_2966 on theBenchmark for (2966ds/865Mi)
% 64.56/12.29 % (2970804)Instruction limit reached!
% 64.56/12.29 % (2970804)------------------------------
% 64.56/12.29 % (2970804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970804)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970804)Termination reason: Instruction limit
% 64.56/12.29 % (2970804)Termination phase: Naming
% 64.56/12.29 % (2970804)Time elapsed: 0.509 s
% 64.56/12.29 % (2970804)Peak memory usage: 72 MB
% 64.56/12.29 % (2970804)Instructions burned: 478 (million)
% 64.56/12.29 % (2970796)Instruction limit reached!
% 64.56/12.29 % (2970796)------------------------------
% 64.56/12.29 % (2970796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970796)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970796)Termination reason: Instruction limit
% 64.56/12.29 % (2970796)Termination phase: Naming
% 64.56/12.29 % (2970796)Time elapsed: 0.693 s
% 64.56/12.29 % (2970796)Peak memory usage: 79 MB
% 64.56/12.29 % (2970796)Instructions burned: 714 (million)
% 64.56/12.29 % (2970814)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2985069200:i=1179_2961 on theBenchmark for (2961ds/1179Mi)
% 64.56/12.29 % (2970808)Instruction limit reached!
% 64.56/12.29 % (2970808)------------------------------
% 64.56/12.29 % (2970808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970808)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970808)Termination reason: Instruction limit
% 64.56/12.29 % (2970808)Termination phase: Preprocessing 3
% 64.56/12.29 % (2970808)Time elapsed: 0.503 s
% 64.56/12.29 % (2970808)Peak memory usage: 83 MB
% 64.56/12.29 % (2970808)Instructions burned: 866 (million)
% 64.56/12.29 % (2970817)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1570743225:i=889:ins=1_2961 on theBenchmark for (2961ds/889Mi)
% 64.56/12.29 % (2970819)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=137039229:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2960 on theBenchmark for (2960ds/692Mi)
% 64.56/12.29 % (2970800)Instruction limit reached!
% 64.56/12.29 % (2970800)------------------------------
% 64.56/12.29 % (2970800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970800)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970800)Termination reason: Instruction limit
% 64.56/12.29 % (2970800)Termination phase: NewCNF
% 64.56/12.29 % (2970800)Time elapsed: 0.713 s
% 64.56/12.29 % (2970800)Peak memory usage: 75 MB
% 64.56/12.29 % (2970800)Instructions burned: 684 (million)
% 64.56/12.29 % (2970822)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1473844805:i=879:kws=inv_precedence:fsr=off_2960 on theBenchmark for (2960ds/879Mi)
% 64.56/12.29 % (2970819)Instruction limit reached!
% 64.56/12.29 % (2970819)------------------------------
% 64.56/12.29 % (2970819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970819)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970819)Termination reason: Instruction limit
% 64.56/12.29 % (2970819)Termination phase: NewCNF
% 64.56/12.29 % (2970819)Time elapsed: 0.450 s
% 64.56/12.29 % (2970819)Peak memory usage: 75 MB
% 64.56/12.29 % (2970819)Instructions burned: 692 (million)
% 64.56/12.29 % (2970826)fmb+10_1_sil=64000:random_seed=3651932804:i=22061:nm=2:gsp=on_2956 on theBenchmark for (2956ds/22061Mi)
% 64.56/12.29 % (2970817)Instruction limit reached!
% 64.56/12.29 % (2970817)------------------------------
% 64.56/12.29 % (2970817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970817)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970817)Termination reason: Instruction limit
% 64.56/12.29 % (2970817)Termination phase: Preprocessing 3
% 64.56/12.29 % (2970817)Time elapsed: 0.862 s
% 64.56/12.29 % (2970817)Peak memory usage: 83 MB
% 64.56/12.29 % (2970817)Instructions burned: 889 (million)
% 64.56/12.29 % (2970829)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4140051748:i=9515:nm=5_2951 on theBenchmark for (2951ds/9515Mi)
% 64.56/12.29 % (2970822)Instruction limit reached!
% 64.56/12.29 % (2970822)------------------------------
% 64.56/12.29 % (2970822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970822)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970822)Termination reason: Instruction limit
% 64.56/12.29 % (2970822)Termination phase: NewCNF
% 64.56/12.29 % (2970822)Time elapsed: 0.849 s
% 64.56/12.29 % (2970822)Peak memory usage: 87 MB
% 64.56/12.29 % (2970822)Instructions burned: 879 (million)
% 64.56/12.29 % (2970834)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=378464599:fmbsr=1.7:i=920_2951 on theBenchmark for (2951ds/920Mi)
% 64.56/12.29 % (2970814)Instruction limit reached!
% 64.56/12.29 % (2970814)------------------------------
% 64.56/12.29 % (2970814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970814)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970814)Termination reason: Instruction limit
% 64.56/12.29 % (2970814)Termination phase: Preprocessing 3
% 64.56/12.29 % (2970814)Time elapsed: 1.109 s
% 64.56/12.29 % (2970814)Peak memory usage: 97 MB
% 64.56/12.29 % (2970814)Instructions burned: 1180 (million)
% 64.56/12.29 % (2970836)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=916078786:i=5131_2949 on theBenchmark for (2949ds/5131Mi)
% 64.56/12.29 % (2970834)Instruction limit reached!
% 64.56/12.29 % (2970834)------------------------------
% 64.56/12.29 % (2970834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970834)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970834)Termination reason: Instruction limit
% 64.56/12.29 % (2970834)Termination phase: Preprocessing 3
% 64.56/12.29 % (2970834)Time elapsed: 0.900 s
% 64.56/12.29 % (2970834)Peak memory usage: 87 MB
% 64.56/12.29 % (2970834)Instructions burned: 920 (million)
% 64.56/12.29 % (2970842)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2033119734:i=1472:ins=7:fdi=8:gsp=on_2941 on theBenchmark for (2941ds/1472Mi)
% 64.56/12.29 % (2970842)Instruction limit reached!
% 64.56/12.29 % (2970842)------------------------------
% 64.56/12.29 % (2970842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970842)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970842)Termination reason: Instruction limit
% 64.56/12.29 % (2970842)Termination phase: Preprocessing 3
% 64.56/12.29 % (2970842)Time elapsed: 1.401 s
% 64.56/12.29 % (2970842)Peak memory usage: 107 MB
% 64.56/12.29 % (2970842)Instructions burned: 1472 (million)
% 64.56/12.29 % (2970844)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2570214990:i=6324_2927 on theBenchmark for (2927ds/6324Mi)
% 64.56/12.29 % (2970836)Instruction limit reached!
% 64.56/12.29 % (2970836)------------------------------
% 64.56/12.29 % (2970836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.56/12.29 % (2970836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.56/12.29 % (2970836)CaDiCaL version: 2.1.3
% 64.56/12.29 % (2970836)Termination reason: Instruction limit
% 64.56/12.29 % (2970836)Termination phase: Property scanning
% 64.56/12.29 % (2970836)Time elapsed: 3.406 s
% 65.11/12.31 % (2970836)Peak memory usage: 120 MB
% 65.11/12.31 % (2970836)Instructions burned: 5131 (million)
% 65.11/12.31 % (2970850)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2048037560:fmbsr=2.30978:i=2174_2915 on theBenchmark for (2915ds/2174Mi)
% 65.11/12.31 % (2970850)Instruction limit reached!
% 65.11/12.31 % (2970850)------------------------------
% 65.11/12.31 % (2970850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.11/12.31 % (2970850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.11/12.31 % (2970850)CaDiCaL version: 2.1.3
% 65.11/12.31 % (2970850)Termination reason: Instruction limit
% 65.11/12.31 % (2970850)Termination phase: Property scanning
% 65.11/12.31 % (2970850)Time elapsed: 1.184 s
% 65.11/12.31 % (2970850)Peak memory usage: 127 MB
% 65.11/12.31 % (2970850)Instructions burned: 2175 (million)
% 65.11/12.31 % (2970892)ott-2_1_sil=16000:newcnf=on:random_seed=655255982:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2903 on theBenchmark for (2903ds/869Mi)
% 65.11/12.31 % (2970892)Instruction limit reached!
% 65.11/12.31 % (2970892)------------------------------
% 65.11/12.31 % (2970892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.11/12.31 % (2970892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.11/12.31 % (2970892)CaDiCaL version: 2.1.3
% 65.11/12.31 % (2970892)Termination reason: Instruction limit
% 65.11/12.31 % (2970892)Termination phase: NewCNF
% 65.11/12.31 % (2970892)Time elapsed: 0.559 s
% 65.11/12.31 % (2970892)Peak memory usage: 87 MB
% 65.11/12.31 % (2970892)Instructions burned: 869 (million)
% 65.11/12.31 % (2970949)ott+10_1_sil=32000:tgt=ground:random_seed=2811884767:i=5114:av=off_2897 on theBenchmark for (2897ds/5114Mi)
% 65.11/12.31 % (2970844)Instruction limit reached!
% 65.11/12.31 % (2970844)------------------------------
% 65.11/12.31 % (2970844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.11/12.31 % (2970844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.11/12.31 % (2970844)CaDiCaL version: 2.1.3
% 65.11/12.31 % (2970844)Termination reason: Instruction limit
% 65.11/12.31 % (2970844)Termination phase: Blocked clause elimination
% 65.11/12.31 % (2970844)Time elapsed: 3.592 s
% 65.11/12.31 % (2970844)Peak memory usage: 150 MB
% 65.11/12.31 % (2970844)Instructions burned: 6326 (million)
% 65.11/12.31 % (2971009)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2207574747:i=54282_2890 on theBenchmark for (2890ds/54282Mi)
% 65.11/12.31 % (2970829)Instruction limit reached!
% 65.11/12.31 % (2970829)------------------------------
% 65.11/12.31 % (2970829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.11/12.31 % (2970829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.11/12.31 % (2970829)CaDiCaL version: 2.1.3
% 65.11/12.31 % (2970829)Termination reason: Instruction limit
% 65.11/12.31 % (2970829)Termination phase: Finite model building preprocessing
% 65.11/12.31 % (2970829)Time elapsed: 6.255 s
% 65.11/12.31 % (2970829)Peak memory usage: 199 MB
% 65.11/12.31 % (2970829)Instructions burned: 9515 (million)
% 65.11/12.31 % (2971011)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1530886701:i=3512:aac=none_2888 on theBenchmark for (2888ds/3512Mi)
% 65.11/12.31 % (2970783) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2970743-2970783"...
% 65.11/12.31 % (2970783)...printing done.
% 65.11/12.31 % (2970783)Refutation found. Thanks to Tanya!
% 65.11/12.31 % SZS status Theorem for theBenchmark
% 65.11/12.31 % SZS output start Proof for theBenchmark
% See solution above
% 65.11/12.31 % (2970783)------------------------------
% 65.11/12.31 % (2970783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.11/12.31 % (2970783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.11/12.31 % (2970783)CaDiCaL version: 2.1.3
% 65.11/12.31 % (2970783)Termination reason: Refutation
% 65.11/12.31 % (2970783)Time elapsed: 8.606 s
% 65.11/12.31 % (2970783)Peak memory usage: 175 MB
% 65.11/12.31 % (2970783)Instructions burned: 14250 (million)
% 65.11/12.31 % (2970743)Success in time 11.783 s
% 65.11/12.31 % Vampire exiting
%------------------------------------------------------------------------------