%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET031-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:42:44 PM UTC 2026
% Result : Unsatisfiable 11.47s 2.09s
% Output : Refutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 13 unt; 3 def)
% Number of atoms : 90 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 41 ~; 41 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ordered_pair_predicate(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| X0 != ordered_pair(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',ordered_pair_predicate4) ).
fof(f16,plain,
! [X2,X0,X1] :
( ordered_pair_predicate(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| ordered_pair(X1,X2) != X0 ),
inference(reorient_equations,[],[f15]) ).
fof(f89,axiom,
! [X0] :
( member(f18(X0),X0)
| relation(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',relation2) ).
fof(f90,axiom,
! [X0] :
( relation(X0)
| ~ ordered_pair_predicate(f18(X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',relation3) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| little_set(f29(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',compose1) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| little_set(f30(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',compose2) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| X0 = ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',compose4) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
inference(reorient_equations,[],[f149]) ).
fof(f178,negated_conjecture,
~ relation(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_composition_is_a_relation) ).
fof(f180,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ordered_pair_predicate(X0)
| ~ little_set(X1)
| ~ little_set(X2)
| non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,X2)) != X0 ),
inference(definition_unfolding,[],[f16,f180]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ member(X0,compose(X1,X2))
| non_ordered_pair(non_ordered_pair(f29(X0,X1,X2),f29(X0,X1,X2)),non_ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2))) = X0 ),
inference(definition_unfolding,[],[f150,f180]) ).
fof(f217,plain,
! [X2,X1] :
( ordered_pair_predicate(non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,X2)))
| ~ little_set(X1)
| ~ little_set(X2) ),
inference(equality_resolution,[],[f183]) ).
fof(f237,plain,
! [X2,X1] :
( ~ ordered_pair_predicate(non_ordered_pair(non_ordered_pair(X1,X1),non_ordered_pair(X1,X2)))
| little_set(X1)
| little_set(X2) ),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f270,plain,
! [X0] :
( ordered_pair_predicate(f18(X0))
| relation(X0) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ little_set(f29(X0,X1,X2))
| ~ member(X0,compose(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ little_set(f30(X0,X1,X2))
| ~ member(X0,compose(X1,X2)) ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f1169,plain,
! [X0,X1] :
( relation(compose(X0,X1))
| f18(compose(X0,X1)) = non_ordered_pair(non_ordered_pair(f29(f18(compose(X0,X1)),X0,X1),f29(f18(compose(X0,X1)),X0,X1)),non_ordered_pair(f29(f18(compose(X0,X1)),X0,X1),f30(f18(compose(X0,X1)),X0,X1))) ),
inference(resolution,[],[f201,f89]) ).
fof(f23750,plain,
f18(compose(a,b)) = non_ordered_pair(non_ordered_pair(f29(f18(compose(a,b)),a,b),f29(f18(compose(a,b)),a,b)),non_ordered_pair(f29(f18(compose(a,b)),a,b),f30(f18(compose(a,b)),a,b))),
inference(resolution,[],[f1169,f178]) ).
fof(f32854,plain,
( ~ ordered_pair_predicate(f18(compose(a,b)))
| little_set(f29(f18(compose(a,b)),a,b))
| little_set(f30(f18(compose(a,b)),a,b)) ),
inference(superposition,[],[f237,f23750]) ).
fof(f33158,definition,
( spl0_482
<=> little_set(f29(f18(compose(a,b)),a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_482])],[avatar_definition]) ).
fof(f33160,plain,
( little_set(f29(f18(compose(a,b)),a,b))
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f33158]) ).
fof(f33162,definition,
( spl0_483
<=> little_set(f30(f18(compose(a,b)),a,b)) ),
introduced(definition,[new_symbols(definition,[spl0_483])],[avatar_definition]) ).
fof(f33164,plain,
( little_set(f30(f18(compose(a,b)),a,b))
| ~ spl0_483 ),
inference(avatar_component_clause,[],[f33162]) ).
fof(f33490,definition,
( spl0_564
<=> ordered_pair_predicate(f18(compose(a,b))) ),
introduced(definition,[new_symbols(definition,[spl0_564])],[avatar_definition]) ).
fof(f33492,plain,
( ~ ordered_pair_predicate(f18(compose(a,b)))
| spl0_564 ),
inference(avatar_component_clause,[],[f33490]) ).
fof(f33493,plain,
( spl0_483
| spl0_482
| ~ spl0_564 ),
inference(avatar_split_clause,[],[f32854,f33490,f33158,f33162]) ).
fof(f36819,plain,
( ~ member(f18(compose(a,b)),compose(a,b))
| ~ spl0_482 ),
inference(resolution,[],[f33160,f306]) ).
fof(f36993,plain,
( relation(compose(a,b))
| ~ spl0_482 ),
inference(resolution,[],[f36819,f89]) ).
fof(f36994,plain,
( $false
| ~ spl0_482 ),
inference(forward_subsumption_resolution,[],[f36993,f178]) ).
fof(f36995,plain,
~ spl0_482,
inference(avatar_contradiction_clause,[],[f36994]) ).
fof(f37162,plain,
( ~ member(f18(compose(a,b)),compose(a,b))
| ~ spl0_483 ),
inference(resolution,[],[f33164,f307]) ).
fof(f37189,plain,
( relation(compose(a,b))
| ~ spl0_483 ),
inference(resolution,[],[f37162,f89]) ).
fof(f37190,plain,
( $false
| ~ spl0_483 ),
inference(forward_subsumption_resolution,[],[f37189,f178]) ).
fof(f37191,plain,
~ spl0_483,
inference(avatar_contradiction_clause,[],[f37190]) ).
fof(f37217,plain,
( relation(compose(a,b))
| spl0_564 ),
inference(resolution,[],[f33492,f270]) ).
fof(f37239,plain,
( $false
| spl0_564 ),
inference(forward_subsumption_resolution,[],[f37217,f178]) ).
fof(f37240,plain,
spl0_564,
inference(avatar_contradiction_clause,[],[f37239]) ).
cnf(s532,plain,
( spl0_482
| spl0_483
| ~ spl0_564 ),
inference(sat_conversion,[],[f33493]) ).
cnf(s689,plain,
~ spl0_482,
inference(sat_conversion,[],[f36995]) ).
cnf(s694,plain,
~ spl0_483,
inference(sat_conversion,[],[f37191]) ).
cnf(s695,plain,
spl0_564,
inference(sat_conversion,[],[f37240]) ).
cnf(s706,plain,
$false,
inference(rat,[],[s532,s695,s694,s689]) ).
fof(f37241,plain,
$false,
inference(avatar_sat_refutation,[],[s706]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET031-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:21:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 8.10/1.84 % (4107207)Will run a generic schedule for satisfiability detection.
% 8.10/1.84 % (4107216)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2954576477:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.10/1.84 % (4107215)dis+10_1_sil=32000:sp=arity:random_seed=3675243743:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.10/1.84 % (4107212)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3988591891_2999 on theBenchmark for (2999ds/0Mi)
% 8.10/1.84 % (4107217)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2926738668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.10/1.84 % (4107218)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4149440241:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.10/1.84 % (4107213)% WARNING: option uhcvi not known.
% 8.10/1.84 % (4107214)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2403620961:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.10/1.84 % (4107213)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2523239518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.10/1.84 % TRYING [1]
% 8.10/1.84 % TRYING [2]
% 8.10/1.84 % TRYING [3]
% 8.10/1.84 % (4107215)Instruction limit reached!
% 8.10/1.84 % (4107215)------------------------------
% 8.10/1.84 % (4107215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.84 % (4107215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.84 % (4107215)CaDiCaL version: 2.1.3
% 8.10/1.84 % (4107215)Termination reason: Instruction limit
% 8.10/1.84 % (4107215)Termination phase: Saturation
% 8.10/1.84 % (4107215)Time elapsed: 0.065 s
% 8.10/1.84 % (4107215)Peak memory usage: 12 MB
% 8.10/1.84 % (4107215)Instructions burned: 104 (million)
% 8.10/1.84 % (4107216)Instruction limit reached!
% 8.10/1.84 % (4107216)------------------------------
% 8.10/1.84 % (4107216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.84 % (4107216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.84 % (4107216)CaDiCaL version: 2.1.3
% 8.10/1.84 % (4107216)Termination reason: Instruction limit
% 8.10/1.84 % (4107216)Termination phase: Saturation
% 8.10/1.84 % (4107216)Time elapsed: 0.067 s
% 8.10/1.84 % (4107216)Peak memory usage: 13 MB
% 8.10/1.84 % (4107216)Instructions burned: 117 (million)
% 8.10/1.84 % (4107217)Instruction limit reached!
% 8.10/1.84 % (4107217)------------------------------
% 8.10/1.84 % (4107217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.84 % (4107217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.84 % (4107217)CaDiCaL version: 2.1.3
% 8.10/1.84 % (4107217)Termination reason: Instruction limit
% 8.10/1.84 % (4107217)Termination phase: Saturation
% 8.10/1.84 % (4107217)Time elapsed: 0.070 s
% 8.10/1.84 % (4107217)Peak memory usage: 13 MB
% 8.10/1.84 % (4107217)Instructions burned: 132 (million)
% 8.10/1.84 % (4107227)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=6382455:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.10/1.84 % (4107226)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=73273605:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.10/1.84 % (4107228)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=148439620:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.10/1.84 % (4107218)Instruction limit reached!
% 8.10/1.84 % (4107218)------------------------------
% 8.10/1.84 % (4107218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.84 % (4107218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/1.84 % (4107218)CaDiCaL version: 2.1.3
% 8.10/1.84 % (4107218)Termination reason: Instruction limit
% 8.10/1.84 % (4107218)Termination phase: Saturation
% 8.10/1.84 % (4107218)Time elapsed: 0.097 s
% 8.10/1.84 % (4107218)Peak memory usage: 13 MB
% 8.10/1.84 % (4107218)Instructions burned: 162 (million)
% 8.10/1.84 % TRYING [1]
% 8.10/1.84 % TRYING [2]
% 8.10/1.84 % (4107232)ott-21_1_sil=16000:fs=off:random_seed=795118574:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.10/1.84 % TRYING [3]
% 8.10/1.84 % (4107227)Instruction limit reached!
% 8.10/1.84 % (4107227)------------------------------
% 8.10/1.84 % (4107227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.10/1.84 % (4107227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107227)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107227)Termination reason: Instruction limit
% 11.47/2.09 % (4107227)Termination phase: Saturation
% 11.47/2.09 % (4107227)Time elapsed: 0.091 s
% 11.47/2.09 % (4107227)Peak memory usage: 13 MB
% 11.47/2.09 % (4107227)Instructions burned: 131 (million)
% 11.47/2.09 % (4107234)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2001808202:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.47/2.09 % (4107232)Instruction limit reached!
% 11.47/2.09 % (4107232)------------------------------
% 11.47/2.09 % (4107232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107232)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107232)Termination reason: Instruction limit
% 11.47/2.09 % (4107232)Termination phase: Saturation
% 11.47/2.09 % (4107232)Time elapsed: 0.101 s
% 11.47/2.09 % (4107232)Peak memory usage: 14 MB
% 11.47/2.09 % (4107232)Instructions burned: 180 (million)
% 11.47/2.09 % (4107236)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2715046097:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.47/2.09 % TRYING [1]
% 11.47/2.09 % TRYING [2]
% 11.47/2.09 % TRYING [4]
% 11.47/2.09 % TRYING [3]
% 11.47/2.09 % (4107226)Instruction limit reached!
% 11.47/2.09 % (4107226)------------------------------
% 11.47/2.09 % (4107226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107226)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107226)Termination reason: Instruction limit
% 11.47/2.09 % (4107226)Termination phase: Finite model building constraint generation
% 11.47/2.09 % (4107226)Time elapsed: 0.252 s
% 11.47/2.09 % (4107226)Peak memory usage: 39 MB
% 11.47/2.09 % (4107226)Instructions burned: 715 (million)
% 11.47/2.09 % (4107238)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2938517592:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.47/2.09 % (4107228)Instruction limit reached!
% 11.47/2.09 % (4107228)------------------------------
% 11.47/2.09 % (4107228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107228)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107228)Termination reason: Instruction limit
% 11.47/2.09 % (4107228)Termination phase: Saturation
% 11.47/2.09 % (4107228)Time elapsed: 0.418 s
% 11.47/2.09 % (4107228)Peak memory usage: 20 MB
% 11.47/2.09 % (4107228)Instructions burned: 684 (million)
% 11.47/2.09 % (4107240)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1846246235:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 11.47/2.09 % (4107234)Instruction limit reached!
% 11.47/2.09 % (4107234)------------------------------
% 11.47/2.09 % (4107234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107234)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107234)Termination reason: Instruction limit
% 11.47/2.09 % (4107234)Termination phase: Saturation
% 11.47/2.09 % (4107234)Time elapsed: 0.343 s
% 11.47/2.09 % (4107234)Peak memory usage: 14 MB
% 11.47/2.09 % (4107234)Instructions burned: 477 (million)
% 11.47/2.09 % (4107240)Cannot represent all propositional literals internally
% 11.47/2.09 % (4107240)Refutation not found, incomplete strategy
% 11.47/2.09 % (4107240)------------------------------
% 11.47/2.09 % (4107240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107240)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107240)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.09 % (4107240)Time elapsed: 0.015 s
% 11.47/2.09 % (4107240)Peak memory usage: 10 MB
% 11.47/2.09 % (4107240)Instructions burned: 29 (million)
% 11.47/2.09 % (4107240)------------------------------
% 11.47/2.09 % (4107240)------------------------------
% 11.47/2.09 % (4107242)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=3762097240: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)
% 11.47/2.09 % (4107243)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1548776244:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.47/2.09 % (4107236)Instruction limit reached!
% 11.47/2.09 % (4107236)------------------------------
% 11.47/2.09 % (4107236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107236)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107236)Termination reason: Instruction limit
% 11.47/2.09 % (4107236)Termination phase: Finite model building SAT solving
% 11.47/2.09 % (4107236)Time elapsed: 0.351 s
% 11.47/2.09 % (4107236)Peak memory usage: 40 MB
% 11.47/2.09 % (4107236)Instructions burned: 866 (million)
% 11.47/2.09 % (4107246)fmb+10_1_sil=64000:random_seed=1374010547:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 11.47/2.09 % TRYING [1]
% 11.47/2.09 % TRYING [2]
% 11.47/2.09 % TRYING [3]
% 11.47/2.09 % (4107242)Instruction limit reached!
% 11.47/2.09 % (4107242)------------------------------
% 11.47/2.09 % (4107242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107242)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107242)Termination reason: Instruction limit
% 11.47/2.09 % (4107242)Termination phase: Saturation
% 11.47/2.09 % (4107242)Time elapsed: 0.436 s
% 11.47/2.09 % (4107242)Peak memory usage: 22 MB
% 11.47/2.09 % (4107242)Instructions burned: 693 (million)
% 11.47/2.09 % (4107243)Instruction limit reached!
% 11.47/2.09 % (4107243)------------------------------
% 11.47/2.09 % (4107243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107243)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107243)Termination reason: Instruction limit
% 11.47/2.09 % (4107243)Termination phase: Saturation
% 11.47/2.09 % (4107243)Time elapsed: 0.449 s
% 11.47/2.09 % (4107243)Peak memory usage: 20 MB
% 11.47/2.09 % (4107243)Instructions burned: 879 (million)
% 11.47/2.09 % (4107248)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2012911175:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 11.47/2.09 % (4107249)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3765246883:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 11.47/2.09 % (4107248)Cannot represent all propositional literals internally
% 11.47/2.09 % (4107248)Refutation not found, incomplete strategy
% 11.47/2.09 % (4107248)------------------------------
% 11.47/2.09 % (4107248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107248)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107248)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.09 % (4107248)Time elapsed: 0.016 s
% 11.47/2.09 % (4107248)Peak memory usage: 11 MB
% 11.47/2.09 % (4107248)Instructions burned: 31 (million)
% 11.47/2.09 % (4107248)------------------------------
% 11.47/2.09 % (4107248)------------------------------
% 11.47/2.09 % (4107238)Instruction limit reached!
% 11.47/2.09 % (4107238)------------------------------
% 11.47/2.09 % (4107238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107238)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107238)Termination reason: Instruction limit
% 11.47/2.09 % (4107238)Termination phase: Saturation
% 11.47/2.09 % (4107238)Time elapsed: 0.683 s
% 11.47/2.09 % (4107238)Peak memory usage: 28 MB
% 11.47/2.09 % (4107238)Instructions burned: 1180 (million)
% 11.47/2.09 % TRYING [8]
% 11.47/2.09 % (4107252)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3064342327:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 11.47/2.09 % (4107253)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=528361350:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 11.47/2.09 % TRYING [4]
% 11.47/2.09 % (4107249)Instruction limit reached!
% 11.47/2.09 % (4107249)------------------------------
% 11.47/2.09 % (4107249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107249)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107249)Termination reason: Instruction limit
% 11.47/2.09 % (4107249)Termination phase: Finite model building constraint generation
% 11.47/2.09 % (4107249)Time elapsed: 0.334 s
% 11.47/2.09 % (4107249)Peak memory usage: 75 MB
% 11.47/2.09 % (4107249)Instructions burned: 922 (million)
% 11.47/2.09 % (4107256)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=106994479:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 11.47/2.09 % (4107256)Cannot represent all propositional literals internally
% 11.47/2.09 % (4107256)Refutation not found, incomplete strategy
% 11.47/2.09 % (4107256)------------------------------
% 11.47/2.09 % (4107256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107256)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107256)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.09 % (4107256)Time elapsed: 0.017 s
% 11.47/2.09 % (4107256)Peak memory usage: 11 MB
% 11.47/2.09 % (4107256)Instructions burned: 33 (million)
% 11.47/2.09 % (4107256)------------------------------
% 11.47/2.09 % (4107256)------------------------------
% 11.47/2.09 % (4107258)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3558197396:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 11.47/2.09 % (4107258)Cannot represent all propositional literals internally
% 11.47/2.09 % (4107258)Refutation not found, incomplete strategy
% 11.47/2.09 % (4107258)------------------------------
% 11.47/2.09 % (4107258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107258)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107258)Termination reason: Refutation not found, incomplete strategy
% 11.47/2.09 % (4107258)Time elapsed: 0.094 s
% 11.47/2.09 % (4107258)Peak memory usage: 12 MB
% 11.47/2.09 % (4107258)Instructions burned: 192 (million)
% 11.47/2.09 % (4107258)------------------------------
% 11.47/2.09 % (4107258)------------------------------
% 11.47/2.09 % (4107260)ott-2_1_sil=16000:newcnf=on:random_seed=2158079759:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 11.47/2.09 % (4107213) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4107207-4107213"...
% 11.47/2.09 % (4107213)...printing done.
% 11.47/2.09 % (4107213)Refutation found. Thanks to Tanya!
% 11.47/2.09 % SZS status Unsatisfiable for theBenchmark
% 11.47/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 11.47/2.09 % (4107213)------------------------------
% 11.47/2.09 % (4107213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.47/2.09 % (4107213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.09 % (4107213)CaDiCaL version: 2.1.3
% 11.47/2.09 % (4107213)Termination reason: Refutation
% 11.47/2.09 % (4107213)Time elapsed: 1.610 s
% 11.47/2.09 % (4107213)Peak memory usage: 35 MB
% 11.47/2.09 % (4107213)Instructions burned: 3045 (million)
% 11.47/2.09 % (4107207)Success in time 1.68 s
% 11.47/2.09 % Vampire exiting
%------------------------------------------------------------------------------