%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU209+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:52:23 PM UTC 2026
% Result : Theorem 31.74s 5.82s
% Output : Refutation 31.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 14 unt; 2 def)
% Number of atoms : 129 ( 9 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 138 ( 53 ~; 51 |; 24 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 88 ( 80 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f32,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f131,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t166_relat_1) ).
fof(f132,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_inverse_image(X1,X0),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t167_relat_1) ).
fof(f133,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_inverse_image(X1,X0),relation_dom(X1)) ),
inference(negated_conjecture,[status(cth)],[f132]) ).
fof(f140,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f188,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f232,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f306,plain,
! [X0,X1,X2] :
( ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f131]) ).
fof(f307,plain,
? [X0,X1] :
( ~ subset(relation_inverse_image(X1,X0),relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f133]) ).
fof(f313,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f140]) ).
fof(f314,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f313]) ).
fof(f431,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f432,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f431]) ).
fof(f433,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK32(X0,X1),X1)
& in(sK32(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(X2,sK32(X0,X1))],[f432]) ).
fof(f484,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) ) )
& ( ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f306]) ).
fof(f485,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) ) )
& ( ? [X4] :
( in(X4,relation_rng(X2))
& in(ordered_pair(X0,X4),X2)
& in(X4,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(rectify,[],[f484]) ).
fof(f486,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_inverse_image(X2,X1))
| ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) ) )
& ( ( in(sK61(X0,X1,X2),relation_rng(X2))
& in(ordered_pair(X0,sK61(X0,X1,X2)),X2)
& in(sK61(X0,X1,X2),X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) ) )
| ~ relation(X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X4,sK61(X0,X1,X2))],[f485]) ).
fof(f487,plain,
( ~ subset(relation_inverse_image(sK63,sK62),relation_dom(sK63))
& relation(sK63) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62,sK63]),skolemize(X0,sK62),skolemize(X1,sK63)],[f307]) ).
fof(f601,plain,
! [X0,X1] :
( in(sK32(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f433]) ).
fof(f602,plain,
! [X0,X1] :
( ~ in(sK32(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f433]) ).
fof(f631,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f753,plain,
! [X2,X0,X1] :
( in(ordered_pair(X0,sK61(X0,X1,X2)),X2)
| ~ in(X0,relation_inverse_image(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f486]) ).
fof(f756,plain,
relation(sK63),
inference(cnf_transformation,[],[f487]) ).
fof(f757,plain,
~ subset(relation_inverse_image(sK63,sK62),relation_dom(sK63)),
inference(cnf_transformation,[],[f487]) ).
fof(f765,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f314]) ).
fof(f833,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f188]) ).
fof(f862,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f631,f833]) ).
fof(f958,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK61(X0,X1,X2)),unordered_pair(X0,X0)),X2)
| ~ in(X0,relation_inverse_image(X2,X1))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f753,f862]) ).
fof(f962,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f765,f862]) ).
fof(f1059,definition,
sF71 = relation_inverse_image(sK63,sK62),
introduced(definition,[new_symbols(definition,[sF71])],[function_definition]) ).
fof(f1060,plain,
relation_inverse_image(sK63,sK62) = sF71,
inference(reorient_equations,[],[f1059]) ).
fof(f1061,definition,
sF72 = relation_dom(sK63),
introduced(definition,[new_symbols(definition,[sF72])],[function_definition]) ).
fof(f1062,plain,
relation_dom(sK63) = sF72,
inference(reorient_equations,[],[f1061]) ).
fof(f1063,plain,
~ subset(sF71,sF72),
inference(definition_folding,[],[f757,f1062,f1060]) ).
fof(f6048,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| in(X0,relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f958,f962]) ).
fof(f6088,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_inverse_image(X1,X2))
| ~ relation(X1)
| in(X0,relation_dom(X1)) ),
inference(duplicate_literal_removal,[],[f6048]) ).
fof(f39752,plain,
! [X0] :
( ~ in(X0,sF71)
| ~ relation(sK63)
| in(X0,relation_dom(sK63)) ),
inference(superposition,[],[f6088,f1060]) ).
fof(f39753,plain,
! [X0] :
( ~ in(X0,sF71)
| in(X0,relation_dom(sK63)) ),
inference(forward_subsumption_resolution,[],[f39752,f756]) ).
fof(f39785,plain,
! [X0] :
( ~ in(X0,sF71)
| in(X0,sF72) ),
inference(forward_demodulation,[],[f39753,f1062]) ).
fof(f39849,plain,
! [X0] :
( in(sK32(sF71,X0),sF72)
| subset(sF71,X0) ),
inference(resolution,[],[f39785,f601]) ).
fof(f43341,plain,
( subset(sF71,sF72)
| subset(sF71,sF72) ),
inference(resolution,[],[f39849,f602]) ).
fof(f43356,plain,
subset(sF71,sF72),
inference(duplicate_literal_removal,[],[f43341]) ).
fof(f43361,plain,
$false,
inference(forward_subsumption_resolution,[],[f43356,f1063]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU209+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.37 % Computer : n001.cluster.edu
% 0.07/0.37 % Model : x86_64 x86_64
% 0.07/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.37 % Memory : 8046.5625MB
% 0.07/0.37 % OS : Linux 6.8.0-71-generic
% 0.07/0.37 % CPULimit : 300
% 0.07/0.37 % WCLimit : 300
% 0.07/0.37 % DateTime : Mon Sep 28 04:09:32 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.41 Running first-order model finding
% 0.07/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.78/2.87 % (6538)Will run a generic schedule for satisfiability detection.
% 16.78/2.87 % (6544)% WARNING: option uhcvi not known.
% 16.78/2.87 % (6544)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2665412219:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.78/2.87 % (6543)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1986310669_2999 on theBenchmark for (2999ds/0Mi)
% 16.78/2.87 % (6547)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3527772726:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.78/2.87 % (6545)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3671580131:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.78/2.87 % (6546)dis+10_1_sil=32000:sp=arity:random_seed=261016195:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.78/2.87 % (6549)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1130623258:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.78/2.87 % (6548)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2813284509:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.78/2.87 % TRYING [1]
% 16.78/2.87 % TRYING [2]
% 16.78/2.87 % (6548)Instruction limit reached!
% 16.78/2.87 % (6548)------------------------------
% 16.78/2.87 % (6548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/2.87 % (6548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/2.87 % (6548)CaDiCaL version: 2.1.3
% 16.78/2.87 % (6548)Termination reason: Instruction limit
% 16.78/2.87 % (6548)Termination phase: Saturation
% 16.78/2.87 % (6548)Time elapsed: 0.066 s
% 16.78/2.87 % (6548)Peak memory usage: 13 MB
% 16.78/2.87 % (6548)Instructions burned: 132 (million)
% 16.78/2.87 % (6546)Instruction limit reached!
% 16.78/2.87 % (6546)------------------------------
% 16.78/2.87 % (6546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/2.87 % (6546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/2.87 % (6546)CaDiCaL version: 2.1.3
% 16.78/2.87 % (6546)Termination reason: Instruction limit
% 16.78/2.87 % (6546)Termination phase: Saturation
% 16.78/2.87 % (6546)Time elapsed: 0.068 s
% 16.78/2.87 % (6546)Peak memory usage: 13 MB
% 16.78/2.87 % (6546)Instructions burned: 103 (million)
% 16.78/2.87 % (6547)Instruction limit reached!
% 16.78/2.87 % (6547)------------------------------
% 16.78/2.87 % (6547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/2.87 % (6547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/2.87 % (6547)CaDiCaL version: 2.1.3
% 16.78/2.87 % (6547)Termination reason: Instruction limit
% 16.78/2.87 % (6547)Termination phase: Saturation
% 16.78/2.87 % (6547)Time elapsed: 0.071 s
% 16.78/2.87 % (6547)Peak memory usage: 13 MB
% 16.78/2.87 % (6547)Instructions burned: 116 (million)
% 16.78/2.87 % TRYING [3]
% 16.78/2.87 % (6557)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3293435724:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 16.78/2.87 % (6558)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1291588997:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.78/2.87 % (6559)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=2710253354:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.78/2.87 % (6549)Instruction limit reached!
% 16.78/2.87 % (6549)------------------------------
% 16.78/2.87 % (6549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/2.87 % (6549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/2.87 % (6549)CaDiCaL version: 2.1.3
% 16.78/2.87 % (6549)Termination reason: Instruction limit
% 16.78/2.87 % (6549)Termination phase: Saturation
% 16.78/2.87 % (6549)Time elapsed: 0.100 s
% 16.78/2.87 % (6549)Peak memory usage: 14 MB
% 16.78/2.87 % (6549)Instructions burned: 160 (million)
% 16.78/2.87 % (6563)ott-21_1_sil=16000:fs=off:random_seed=2920116228:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.78/2.87 % TRYING [1]
% 16.78/2.87 % TRYING [2]
% 16.78/2.87 % TRYING [3]
% 16.78/2.87 % (6558)Instruction limit reached!
% 16.78/2.87 % (6558)------------------------------
% 16.78/2.87 % (6558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.78/2.87 % (6558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.78/2.87 % (6558)CaDiCaL version: 2.1.3
% 16.78/2.87 % (6558)Termination reason: Instruction limit
% 16.78/2.87 % (6558)Termination phase: Saturation
% 31.74/5.81 % (6558)Time elapsed: 0.071 s
% 31.74/5.81 % (6558)Peak memory usage: 13 MB
% 31.74/5.81 % (6558)Instructions burned: 134 (million)
% 31.74/5.81 % (6565)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1023732498:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 31.74/5.81 % TRYING [4]
% 31.74/5.81 % (6563)Instruction limit reached!
% 31.74/5.81 % (6563)------------------------------
% 31.74/5.81 % (6563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6563)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6563)Termination reason: Instruction limit
% 31.74/5.81 % (6563)Termination phase: Saturation
% 31.74/5.81 % (6563)Time elapsed: 0.102 s
% 31.74/5.81 % (6563)Peak memory usage: 13 MB
% 31.74/5.81 % (6563)Instructions burned: 181 (million)
% 31.74/5.81 % (6567)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2632015978:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 31.74/5.81 % TRYING [4]
% 31.74/5.81 % TRYING [1]
% 31.74/5.81 % TRYING [2]
% 31.74/5.81 % TRYING [3]
% 31.74/5.81 % (6557)Instruction limit reached!
% 31.74/5.81 % (6557)------------------------------
% 31.74/5.81 % (6557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6557)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6557)Termination reason: Instruction limit
% 31.74/5.81 % (6557)Termination phase: Finite model building constraint generation
% 31.74/5.81 % (6557)Time elapsed: 0.272 s
% 31.74/5.81 % (6557)Peak memory usage: 38 MB
% 31.74/5.81 % (6557)Instructions burned: 715 (million)
% 31.74/5.81 % (6569)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1301869408:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 31.74/5.81 % (6559)Instruction limit reached!
% 31.74/5.81 % (6559)------------------------------
% 31.74/5.81 % (6559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6559)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6559)Termination reason: Instruction limit
% 31.74/5.81 % (6559)Termination phase: Saturation
% 31.74/5.81 % (6559)Time elapsed: 0.381 s
% 31.74/5.81 % (6559)Peak memory usage: 15 MB
% 31.74/5.81 % (6559)Instructions burned: 684 (million)
% 31.74/5.81 % (6571)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=748088500:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 31.74/5.81 % (6565)Instruction limit reached!
% 31.74/5.81 % (6565)------------------------------
% 31.74/5.81 % (6565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6565)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6565)Termination reason: Instruction limit
% 31.74/5.81 % (6565)Termination phase: Saturation
% 31.74/5.81 % (6565)Time elapsed: 0.338 s
% 31.74/5.81 % (6565)Peak memory usage: 14 MB
% 31.74/5.81 % (6565)Instructions burned: 478 (million)
% 31.74/5.81 % (6573)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=3968389643: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)
% 31.74/5.81 % (6567)Instruction limit reached!
% 31.74/5.81 % (6567)------------------------------
% 31.74/5.81 % (6567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6567)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6567)Termination reason: Instruction limit
% 31.74/5.81 % (6567)Termination phase: Finite model building SAT solving
% 31.74/5.81 % (6567)Time elapsed: 0.385 s
% 31.74/5.81 % (6567)Peak memory usage: 33 MB
% 31.74/5.81 % (6567)Instructions burned: 867 (million)
% 31.74/5.81 % (6575)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=125128114:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 31.74/5.81 % TRYING [5]
% 31.74/5.81 % (6571)Instruction limit reached!
% 31.74/5.81 % (6571)------------------------------
% 31.74/5.81 % (6571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6571)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6571)Termination reason: Instruction limit
% 31.74/5.81 % (6571)Termination phase: Finite model building constraint generation
% 31.74/5.81 % (6571)Time elapsed: 0.415 s
% 31.74/5.81 % (6571)Peak memory usage: 102 MB
% 31.74/5.81 % (6571)Instructions burned: 889 (million)
% 31.74/5.81 % (6577)fmb+10_1_sil=64000:random_seed=701076332:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 31.74/5.81 % TRYING [1]
% 31.74/5.81 % TRYING [2]
% 31.74/5.81 % (6573)Instruction limit reached!
% 31.74/5.81 % (6573)------------------------------
% 31.74/5.81 % (6573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6573)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6573)Termination reason: Instruction limit
% 31.74/5.81 % (6573)Termination phase: Saturation
% 31.74/5.81 % (6573)Time elapsed: 0.468 s
% 31.74/5.81 % (6573)Peak memory usage: 21 MB
% 31.74/5.81 % (6573)Instructions burned: 693 (million)
% 31.74/5.81 % TRYING [3]
% 31.74/5.81 % (6579)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2374881115:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 31.74/5.81 % TRYING [20]
% 31.74/5.81 % (6569)Instruction limit reached!
% 31.74/5.81 % (6569)------------------------------
% 31.74/5.81 % (6569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6569)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6569)Termination reason: Instruction limit
% 31.74/5.81 % (6569)Termination phase: Saturation
% 31.74/5.81 % (6569)Time elapsed: 0.726 s
% 31.74/5.81 % (6569)Peak memory usage: 25 MB
% 31.74/5.81 % (6569)Instructions burned: 1179 (million)
% 31.74/5.81 % (6581)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2230355272:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 31.74/5.81 % (6575)Instruction limit reached!
% 31.74/5.81 % (6575)------------------------------
% 31.74/5.81 % (6575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6575)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6575)Termination reason: Instruction limit
% 31.74/5.81 % (6575)Termination phase: Saturation
% 31.74/5.81 % (6575)Time elapsed: 0.497 s
% 31.74/5.81 % (6575)Peak memory usage: 21 MB
% 31.74/5.81 % (6575)Instructions burned: 881 (million)
% 31.74/5.81 % (6583)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1998858633:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 31.74/5.81 % TRYING [8]
% 31.74/5.81 % TRYING [4]
% 31.74/5.81 % (6581)Instruction limit reached!
% 31.74/5.81 % (6581)------------------------------
% 31.74/5.81 % (6581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6581)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6581)Termination reason: Instruction limit
% 31.74/5.81 % (6581)Termination phase: Finite model building constraint generation
% 31.74/5.81 % (6581)Time elapsed: 0.319 s
% 31.74/5.81 % (6581)Peak memory usage: 60 MB
% 31.74/5.81 % (6581)Instructions burned: 923 (million)
% 31.74/5.81 % (6585)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2288072736:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 31.74/5.81 % (6585)Instruction limit reached!
% 31.74/5.81 % (6585)------------------------------
% 31.74/5.81 % (6585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6585)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6585)Termination reason: Instruction limit
% 31.74/5.81 % (6585)Termination phase: Saturation
% 31.74/5.81 % (6585)Time elapsed: 0.836 s
% 31.74/5.81 % (6585)Peak memory usage: 32 MB
% 31.74/5.81 % (6585)Instructions burned: 1472 (million)
% 31.74/5.81 % (6587)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4035800449:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 31.74/5.81 % (6587)Cannot represent all propositional literals internally
% 31.74/5.81 % (6587)Refutation not found, incomplete strategy
% 31.74/5.81 % (6587)------------------------------
% 31.74/5.81 % (6587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.81 % (6587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.81 % (6587)CaDiCaL version: 2.1.3
% 31.74/5.81 % (6587)Termination reason: Refutation not found, incomplete strategy
% 31.74/5.81 % (6587)Time elapsed: 0.044 s
% 31.74/5.81 % (6587)Peak memory usage: 12 MB
% 31.74/5.81 % (6587)Instructions burned: 88 (million)
% 31.74/5.81 % (6587)------------------------------
% 31.74/5.81 % (6587)------------------------------
% 31.74/5.81 % (6589)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3936490924:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 31.74/5.82 % TRYING [5]
% 31.74/5.82 % TRYING [16]
% 31.74/5.82 % TRYING [6]
% 31.74/5.82 % (6589)Instruction limit reached!
% 31.74/5.82 % (6589)------------------------------
% 31.74/5.82 % (6589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.82 % (6589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.82 % (6589)CaDiCaL version: 2.1.3
% 31.74/5.82 % (6589)Termination reason: Instruction limit
% 31.74/5.82 % (6589)Termination phase: Finite model building constraint generation
% 31.74/5.82 % (6589)Time elapsed: 0.816 s
% 31.74/5.82 % (6589)Peak memory usage: 116 MB
% 31.74/5.82 % (6589)Instructions burned: 2177 (million)
% 31.74/5.82 % (6591)ott-2_1_sil=16000:newcnf=on:random_seed=3742824209:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 31.74/5.82 % (6591)Instruction limit reached!
% 31.74/5.82 % (6591)------------------------------
% 31.74/5.82 % (6591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.82 % (6591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.82 % (6591)CaDiCaL version: 2.1.3
% 31.74/5.82 % (6591)Termination reason: Instruction limit
% 31.74/5.82 % (6591)Termination phase: Saturation
% 31.74/5.82 % (6591)Time elapsed: 0.534 s
% 31.74/5.82 % (6591)Peak memory usage: 20 MB
% 31.74/5.82 % (6591)Instructions burned: 870 (million)
% 31.74/5.82 % (6593)ott+10_1_sil=32000:tgt=ground:random_seed=3491917234:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 31.74/5.82 % (6583)Instruction limit reached!
% 31.74/5.82 % (6583)------------------------------
% 31.74/5.82 % (6583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.82 % (6583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.82 % (6583)CaDiCaL version: 2.1.3
% 31.74/5.82 % (6583)Termination reason: Instruction limit
% 31.74/5.82 % (6583)Termination phase: Saturation
% 31.74/5.82 % (6583)Time elapsed: 2.988 s
% 31.74/5.82 % (6583)Peak memory usage: 44 MB
% 31.74/5.82 % (6583)Instructions burned: 5131 (million)
% 31.74/5.82 % (6595)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1078805252:i=54282_2957 on theBenchmark for (2957ds/54282Mi)
% 31.74/5.82 % TRYING [1]
% 31.74/5.82 % TRYING [2]
% 31.74/5.82 % TRYING [3]
% 31.74/5.82 % TRYING [4]
% 31.74/5.82 % (6579)Instruction limit reached!
% 31.74/5.82 % (6579)------------------------------
% 31.74/5.82 % (6579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.82 % (6579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.82 % (6579)CaDiCaL version: 2.1.3
% 31.74/5.82 % (6579)Termination reason: Instruction limit
% 31.74/5.82 % (6579)Termination phase: Finite model building constraint generation
% 31.74/5.82 % (6579)Time elapsed: 3.441 s
% 31.74/5.82 % (6579)Peak memory usage: 646 MB
% 31.74/5.82 % (6579)Instructions burned: 9517 (million)
% 31.74/5.82 % (6597)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=768326768:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 31.74/5.82 % TRYING [5]
% 31.74/5.82 % (6593) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-6538-6593"...
% 31.74/5.82 % (6593)...printing done.
% 31.74/5.82 % (6593)Refutation found. Thanks to Tanya!
% 31.74/5.82 % SZS status Theorem for theBenchmark
% 31.74/5.82 % SZS output start Proof for theBenchmark
% See solution above
% 31.74/5.82 % (6593)------------------------------
% 31.74/5.82 % (6593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.74/5.82 % (6593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.74/5.82 % (6593)CaDiCaL version: 2.1.3
% 31.74/5.82 % (6593)Termination reason: Refutation
% 31.74/5.82 % (6593)Time elapsed: 1.459 s
% 31.74/5.82 % (6593)Peak memory usage: 37 MB
% 31.74/5.82 % (6593)Instructions burned: 2342 (million)
% 31.74/5.82 % (6538)Success in time 5.397 s
% 31.74/5.82 % Vampire exiting
%------------------------------------------------------------------------------