%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL006-4 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:38:09 AM UTC 2026
% Result : Unsatisfiable 54.14s 7.95s
% Output : Refutation 54.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 21 unt; 0 def)
% Number of atoms : 25 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 11 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f3,axiom,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_fixed_point) ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),k)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
fof(f6,plain,
! [X2,X0,X1] : apply(apply(X1,X2),apply(apply(X0,X1),X2)) = apply(apply(apply(apply(s,s),X0),X1),X2),
inference(superposition,[],[f1,f1]) ).
fof(f8,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(s,apply(k,X0)),X1),X2),
inference(superposition,[],[f1,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : apply(apply(apply(s,X3),apply(apply(s,X0),X2)),X1) = apply(apply(X3,X1),apply(apply(X0,X1),apply(X2,X1))),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X0,X1] :
( fixed_point(apply(apply(s,X0),X1))
| apply(apply(X0,fixed_pt),apply(X1,fixed_pt)) != apply(fixed_pt,apply(apply(X0,fixed_pt),apply(X1,fixed_pt))) ),
inference(superposition,[],[f3,f1]) ).
fof(f17,plain,
! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
inference(superposition,[],[f2,f1]) ).
fof(f23,plain,
! [X2,X0,X1] : apply(apply(apply(s,X1),apply(apply(s,k),X2)),X0) = apply(apply(X1,X0),X0),
inference(superposition,[],[f1,f17]) ).
fof(f108,plain,
! [X2,X0,X1] : apply(apply(apply(apply(s,s),apply(apply(s,k),X2)),X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(superposition,[],[f6,f17]) ).
fof(f119,plain,
! [X0,X1] : apply(apply(X1,X0),X0) = apply(apply(apply(apply(s,s),apply(s,k)),X1),X0),
inference(superposition,[],[f6,f17]) ).
fof(f205,plain,
~ fixed_point(apply(apply(s,apply(k,apply(apply(s,apply(apply(s,s),apply(s,k))),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))),
inference(superposition,[],[f4,f23]) ).
fof(f371,plain,
! [X0] : ~ fixed_point(apply(apply(s,apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k))))),apply(apply(s,apply(k,s)),k))),
inference(superposition,[],[f205,f23]) ).
fof(f628,plain,
! [X2,X3,X0,X1] : apply(apply(X0,X1),apply(apply(X2,X1),apply(X3,X1))) = apply(apply(X0,X1),apply(apply(apply(s,X2),X3),X1)),
inference(superposition,[],[f1,f12]) ).
fof(f851,plain,
! [X0] : apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(s,apply(k,s)),k),fixed_pt)) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(s,apply(k,s)),k),fixed_pt))),
inference(resolution,[],[f16,f371]) ).
fof(f861,plain,
! [X0] : apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(k,s),fixed_pt),apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(apply(apply(k,s),fixed_pt),apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f851,f628]) ).
fof(f864,plain,
! [X0] : apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(k,apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k)))),fixed_pt),apply(s,apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f861,f2]) ).
fof(f867,plain,
! [X0] : apply(apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(apply(s,k),X0)),apply(apply(s,s),apply(s,k))),apply(s,apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f864,f2]) ).
fof(f1276,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,X0))),X1),
inference(superposition,[],[f8,f119]) ).
fof(f3703,plain,
apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))))),
inference(superposition,[],[f867,f108]) ).
fof(f3898,plain,
apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))) != apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt))),apply(apply(apply(s,s),apply(s,k)),apply(s,apply(k,fixed_pt)))),
inference(forward_demodulation,[],[f3703,f1276]) ).
fof(f3899,plain,
$false,
inference(trivial_inequality_removal,[],[f3898]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL006-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:29:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 17.54/2.73 % (3503963)Will run a generic schedule for satisfiability detection.
% 17.54/2.73 % (3503981)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4053868745:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.54/2.73 % (3503976)% WARNING: option uhcvi not known.
% 17.54/2.73 % (3503975)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=661976269_2999 on theBenchmark for (2999ds/0Mi)
% 17.54/2.73 % (3503979)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3438261706:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.54/2.73 % (3503977)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3628958468:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.54/2.73 % (3503980)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4141620579:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.54/2.73 % (3503976)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=879920396:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.54/2.73 % (3503978)dis+10_1_sil=32000:sp=arity:random_seed=2022875574:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.54/2.73 % TRYING [1]
% 17.54/2.73 % TRYING [2]
% 17.54/2.73 % TRYING [3]
% 17.54/2.73 % TRYING [4]
% 17.54/2.73 % TRYING [5]
% 17.54/2.73 % TRYING [6]
% 17.54/2.73 % (3503981)Instruction limit reached!
% 17.54/2.73 % (3503981)------------------------------
% 17.54/2.73 % (3503981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.73 % (3503981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.73 % (3503981)CaDiCaL version: 2.1.3
% 17.54/2.73 % (3503981)Termination reason: Instruction limit
% 17.54/2.73 % (3503981)Termination phase: Saturation
% 17.54/2.73 % (3503981)Time elapsed: 0.052 s
% 17.54/2.73 % (3503981)Peak memory usage: 13 MB
% 17.54/2.73 % (3503981)Instructions burned: 162 (million)
% 17.54/2.73 % (3504017)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1358547255:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.54/2.73 % TRYING [1]
% 17.54/2.73 % TRYING [2]
% 17.54/2.73 % (3503978)Instruction limit reached!
% 17.54/2.73 % (3503978)------------------------------
% 17.54/2.73 % (3503978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.73 % (3503978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.73 % (3503978)CaDiCaL version: 2.1.3
% 17.54/2.73 % (3503978)Termination reason: Instruction limit
% 17.54/2.73 % (3503978)Termination phase: Saturation
% 17.54/2.73 % (3503978)Time elapsed: 0.058 s
% 17.54/2.73 % (3503978)Peak memory usage: 12 MB
% 17.54/2.73 % (3503978)Instructions burned: 104 (million)
% 17.54/2.73 % TRYING [3]
% 17.54/2.73 % TRYING [4]
% 17.54/2.73 % TRYING [5]
% 17.54/2.73 % (3503979)Instruction limit reached!
% 17.54/2.73 % (3503979)------------------------------
% 17.54/2.73 % (3503979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.73 % (3503979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.73 % (3503979)CaDiCaL version: 2.1.3
% 17.54/2.73 % (3503979)Termination reason: Instruction limit
% 17.54/2.73 % (3503979)Termination phase: Saturation
% 17.54/2.73 % (3503979)Time elapsed: 0.072 s
% 17.54/2.73 % (3503979)Peak memory usage: 13 MB
% 17.54/2.73 % (3503979)Instructions burned: 116 (million)
% 17.54/2.73 % TRYING [6]
% 17.54/2.73 % TRYING [7]
% 17.54/2.73 % (3504030)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3831182015:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 17.54/2.73 % (3503980)Instruction limit reached!
% 17.54/2.73 % (3503980)------------------------------
% 17.54/2.73 % (3503980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.54/2.73 % (3503980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.54/2.73 % (3503980)CaDiCaL version: 2.1.3
% 17.54/2.73 % (3503980)Termination reason: Instruction limit
% 17.54/2.73 % (3503980)Termination phase: Saturation
% 17.54/2.73 % (3503980)Time elapsed: 0.081 s
% 17.54/2.73 % (3503980)Peak memory usage: 13 MB
% 17.54/2.73 % (3503980)Instructions burned: 132 (million)
% 17.54/2.73 % (3504038)ott-21_1_sil=16000:fs=off:random_seed=2978631577:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.54/2.73 % (3504034)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=2930325806:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.54/2.73 % TRYING [7]
% 17.54/2.73 % (3504030)Instruction limit reached!
% 17.54/2.73 % (3504030)------------------------------
% 17.54/2.73 % (3504030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.99/7.72 % (3504030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.99/7.72 % (3504030)CaDiCaL version: 2.1.3
% 52.99/7.72 % (3504030)Termination reason: Instruction limit
% 52.99/7.72 % (3504030)Termination phase: Saturation
% 52.99/7.72 % (3504030)Time elapsed: 0.087 s
% 52.99/7.72 % (3504030)Peak memory usage: 13 MB
% 52.99/7.72 % (3504030)Instructions burned: 132 (million)
% 52.99/7.72 % (3504059)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1789291502:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 52.99/7.72 % (3504038)Instruction limit reached!
% 52.99/7.72 % (3504038)------------------------------
% 52.99/7.72 % (3504038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.99/7.72 % (3504038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.99/7.72 % (3504038)CaDiCaL version: 2.1.3
% 52.99/7.72 % (3504038)Termination reason: Instruction limit
% 52.99/7.72 % (3504038)Termination phase: Saturation
% 52.99/7.72 % (3504038)Time elapsed: 0.090 s
% 52.99/7.72 % (3504038)Peak memory usage: 12 MB
% 52.99/7.72 % (3504038)Instructions burned: 182 (million)
% 52.99/7.72 % TRYING [8]
% 52.99/7.72 % (3504061)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2563861144:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 52.99/7.72 % TRYING [1]
% 52.99/7.72 % TRYING [2]
% 52.99/7.72 % TRYING [3]
% 52.99/7.72 % TRYING [8]
% 52.99/7.72 % TRYING [4]
% 52.99/7.72 % (3504017)Instruction limit reached!
% 52.99/7.72 % (3504017)------------------------------
% 52.99/7.72 % (3504017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.99/7.72 % (3504017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.99/7.72 % (3504017)CaDiCaL version: 2.1.3
% 52.99/7.72 % (3504017)Termination reason: Instruction limit
% 52.99/7.72 % (3504017)Termination phase: Finite model building constraint generation
% 52.99/7.72 % (3504017)Time elapsed: 0.170 s
% 52.99/7.72 % (3504017)Peak memory usage: 23 MB
% 52.99/7.72 % (3504017)Instructions burned: 716 (million)
% 52.99/7.72 % (3504073)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3885596520:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 52.99/7.72 % TRYING [5]
% 52.99/7.72 % TRYING [6]
% 52.99/7.72 % TRYING [7]
% 52.99/7.72 % (3504059)Instruction limit reached!
% 52.99/7.72 % (3504059)------------------------------
% 52.99/7.72 % (3504059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.99/7.72 % (3504059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.99/7.72 % (3504059)CaDiCaL version: 2.1.3
% 52.99/7.72 % (3504059)Termination reason: Instruction limit
% 52.99/7.72 % (3504059)Termination phase: Saturation
% 52.99/7.72 % (3504059)Time elapsed: 0.269 s
% 52.99/7.72 % (3504059)Peak memory usage: 15 MB
% 52.99/7.72 % (3504059)Instructions burned: 477 (million)
% 52.99/7.72 % (3504112)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1990406694:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 52.99/7.72 % (3504034)Instruction limit reached!
% 52.99/7.72 % (3504034)------------------------------
% 52.99/7.72 % (3504034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.99/7.72 % (3504034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.99/7.72 % (3504034)CaDiCaL version: 2.1.3
% 52.99/7.72 % (3504034)Termination reason: Instruction limit
% 52.99/7.72 % (3504034)Termination phase: Saturation
% 52.99/7.72 % (3504034)Time elapsed: 0.411 s
% 52.99/7.72 % (3504034)Peak memory usage: 18 MB
% 52.99/7.72 % (3504034)Instructions burned: 685 (million)
% 52.99/7.72 % TRYING [14]
% 52.99/7.72 % (3504114)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=128860007: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)
% 52.99/7.72 % (3504061)Instruction limit reached!
% 52.99/7.72 % (3504061)------------------------------
% 52.99/7.72 % (3504061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.99/7.72 % (3504061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.99/7.72 % (3504061)CaDiCaL version: 2.1.3
% 52.99/7.72 % (3504061)Termination reason: Instruction limit
% 52.99/7.72 % (3504061)Termination phase: Finite model building SAT solving
% 52.99/7.72 % (3504061)Time elapsed: 0.324 s
% 52.99/7.72 % (3504061)Peak memory usage: 20 MB
% 52.99/7.72 % (3504061)Instructions burned: 866 (million)
% 52.99/7.72 % (3504116)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3486060483:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 54.14/7.95 % (3504073)Instruction limit reached!
% 54.14/7.95 % (3504073)------------------------------
% 54.14/7.95 % (3504073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504073)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504073)Termination reason: Instruction limit
% 54.14/7.95 % (3504073)Termination phase: Saturation
% 54.14/7.95 % (3504073)Time elapsed: 0.412 s
% 54.14/7.95 % (3504073)Peak memory usage: 25 MB
% 54.14/7.95 % (3504073)Instructions burned: 1180 (million)
% 54.14/7.95 % (3504118)fmb+10_1_sil=64000:random_seed=1640823468:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 54.14/7.95 % TRYING [1]
% 54.14/7.95 % TRYING [2]
% 54.14/7.95 % TRYING [3]
% 54.14/7.95 % TRYING [4]
% 54.14/7.95 % TRYING [5]
% 54.14/7.95 % TRYING [6]
% 54.14/7.95 % TRYING [7]
% 54.14/7.95 % (3504112)Instruction limit reached!
% 54.14/7.95 % (3504112)------------------------------
% 54.14/7.95 % (3504112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504112)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504112)Termination reason: Instruction limit
% 54.14/7.95 % (3504112)Termination phase: Finite model building constraint generation
% 54.14/7.95 % (3504112)Time elapsed: 0.317 s
% 54.14/7.95 % (3504112)Peak memory usage: 75 MB
% 54.14/7.95 % (3504112)Instructions burned: 891 (million)
% 54.14/7.95 % (3504120)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1972029000:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 54.14/7.95 % TRYING [20]
% 54.14/7.95 % TRYING [8]
% 54.14/7.95 % (3504114)Instruction limit reached!
% 54.14/7.95 % (3504114)------------------------------
% 54.14/7.95 % (3504114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504114)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504114)Termination reason: Instruction limit
% 54.14/7.95 % (3504114)Termination phase: Saturation
% 54.14/7.95 % (3504114)Time elapsed: 0.436 s
% 54.14/7.95 % (3504114)Peak memory usage: 17 MB
% 54.14/7.95 % (3504114)Instructions burned: 693 (million)
% 54.14/7.95 % (3504122)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2577360684:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 54.14/7.95 % TRYING [8]
% 54.14/7.95 % (3504116)Instruction limit reached!
% 54.14/7.95 % (3504116)------------------------------
% 54.14/7.95 % (3504116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504116)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504116)Termination reason: Instruction limit
% 54.14/7.95 % (3504116)Termination phase: Saturation
% 54.14/7.95 % (3504116)Time elapsed: 0.457 s
% 54.14/7.95 % (3504116)Peak memory usage: 17 MB
% 54.14/7.95 % (3504116)Instructions burned: 880 (million)
% 54.14/7.95 % (3504124)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3168964082:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 54.14/7.95 % TRYING [9]
% 54.14/7.95 % TRYING [9]
% 54.14/7.95 % (3504122)Instruction limit reached!
% 54.14/7.95 % (3504122)------------------------------
% 54.14/7.95 % (3504122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504122)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504122)Termination reason: Instruction limit
% 54.14/7.95 % (3504122)Termination phase: Finite model building SAT solving
% 54.14/7.95 % (3504122)Time elapsed: 0.681 s
% 54.14/7.95 % (3504122)Peak memory usage: 33 MB
% 54.14/7.95 % (3504122)Instructions burned: 921 (million)
% 54.14/7.95 % (3504144)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=868697412:i=1472:ins=7:fdi=8:gsp=on_2982 on theBenchmark for (2982ds/1472Mi)
% 54.14/7.95 % TRYING [10]
% 54.14/7.95 % TRYING [10]
% 54.14/7.95 % (3504144)Instruction limit reached!
% 54.14/7.95 % (3504144)------------------------------
% 54.14/7.95 % (3504144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504144)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504144)Termination reason: Instruction limit
% 54.14/7.95 % (3504144)Termination phase: Saturation
% 54.14/7.95 % (3504144)Time elapsed: 0.754 s
% 54.14/7.95 % (3504144)Peak memory usage: 27 MB
% 54.14/7.95 % (3504144)Instructions burned: 1474 (million)
% 54.14/7.95 % (3504252)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2069440828:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 54.14/7.95 % TRYING [77]
% 54.14/7.95 % TRYING [11]
% 54.14/7.95 % (3504124)Instruction limit reached!
% 54.14/7.95 % (3504124)------------------------------
% 54.14/7.95 % (3504124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504124)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504124)Termination reason: Instruction limit
% 54.14/7.95 % (3504124)Termination phase: Saturation
% 54.14/7.95 % (3504124)Time elapsed: 3.059 s
% 54.14/7.95 % (3504124)Peak memory usage: 53 MB
% 54.14/7.95 % (3504124)Instructions burned: 5132 (million)
% 54.14/7.95 % (3504301)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3639575368:fmbsr=2.30978:i=2174_2958 on theBenchmark for (2958ds/2174Mi)
% 54.14/7.95 % TRYING [16]
% 54.14/7.95 % (3504120)Instruction limit reached!
% 54.14/7.95 % (3504120)------------------------------
% 54.14/7.95 % (3504120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504120)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504120)Termination reason: Instruction limit
% 54.14/7.95 % (3504120)Termination phase: Finite model building constraint generation
% 54.14/7.95 % (3504120)Time elapsed: 4.024 s
% 54.14/7.95 % (3504120)Peak memory usage: 707 MB
% 54.14/7.95 % (3504120)Instructions burned: 9515 (million)
% 54.14/7.95 % (3504252)Instruction limit reached!
% 54.14/7.95 % (3504252)------------------------------
% 54.14/7.95 % (3504252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504252)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504252)Termination reason: Instruction limit
% 54.14/7.95 % (3504252)Termination phase: Finite model building constraint generation
% 54.14/7.95 % (3504252)Time elapsed: 2.375 s
% 54.14/7.95 % (3504252)Peak memory usage: 515 MB
% 54.14/7.95 % (3504252)Instructions burned: 6326 (million)
% 54.14/7.95 % (3504301)Instruction limit reached!
% 54.14/7.95 % (3504301)------------------------------
% 54.14/7.95 % (3504301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504301)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504301)Termination reason: Instruction limit
% 54.14/7.95 % (3504301)Termination phase: Finite model building constraint generation
% 54.14/7.95 % (3504301)Time elapsed: 0.733 s
% 54.14/7.95 % (3504301)Peak memory usage: 133 MB
% 54.14/7.95 % (3504301)Instructions burned: 2175 (million)
% 54.14/7.95 % (3504303)ott-2_1_sil=16000:newcnf=on:random_seed=3773523571:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2950 on theBenchmark for (2950ds/869Mi)
% 54.14/7.95 % (3504305)ott+10_1_sil=32000:tgt=ground:random_seed=2768138160:i=5114:av=off_2950 on theBenchmark for (2950ds/5114Mi)
% 54.14/7.95 % (3504306)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1247936560:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 54.14/7.95 % TRYING [1]
% 54.14/7.95 % TRYING [2]
% 54.14/7.95 % TRYING [3]
% 54.14/7.95 % TRYING [4]
% 54.14/7.95 % TRYING [5]
% 54.14/7.95 % TRYING [6]
% 54.14/7.95 % TRYING [11]
% 54.14/7.95 % TRYING [7]
% 54.14/7.95 % TRYING [8]
% 54.14/7.95 % (3504303)Instruction limit reached!
% 54.14/7.95 % (3504303)------------------------------
% 54.14/7.95 % (3504303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504303)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504303)Termination reason: Instruction limit
% 54.14/7.95 % (3504303)Termination phase: Saturation
% 54.14/7.95 % (3504303)Time elapsed: 0.595 s
% 54.14/7.95 % (3504303)Peak memory usage: 21 MB
% 54.14/7.95 % (3504303)Instructions burned: 870 (million)
% 54.14/7.95 % (3504309)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=751268082:i=3512:aac=none_2944 on theBenchmark for (2944ds/3512Mi)
% 54.14/7.95 % TRYING [9]
% 54.14/7.95 % TRYING [10]
% 54.14/7.95 % (3504309)Instruction limit reached!
% 54.14/7.95 % (3504309)------------------------------
% 54.14/7.95 % (3504309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504309)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504309)Termination reason: Instruction limit
% 54.14/7.95 % (3504309)Termination phase: Saturation
% 54.14/7.95 % (3504309)Time elapsed: 1.921 s
% 54.14/7.95 % (3504309)Peak memory usage: 37 MB
% 54.14/7.95 % (3504309)Instructions burned: 3512 (million)
% 54.14/7.95 % (3504311)dis+21_1_sil=32000:sas=cadical:random_seed=1815804917:i=3773:amm=off_2924 on theBenchmark for (2924ds/3773Mi)
% 54.14/7.95 % (3504118)Instruction limit reached!
% 54.14/7.95 % (3504118)------------------------------
% 54.14/7.95 % (3504118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504118)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504118)Termination reason: Instruction limit
% 54.14/7.95 % (3504118)Termination phase: Finite model building SAT solving
% 54.14/7.95 % (3504118)Time elapsed: 6.844 s
% 54.14/7.95 % (3504118)Peak memory usage: 103 MB
% 54.14/7.95 % (3504118)Instructions burned: 22062 (million)
% 54.14/7.95 % (3504313)ott+11_1_sil=16000:gs=on:random_seed=2042411863:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2924 on theBenchmark for (2924ds/2251Mi)
% 54.14/7.95 % (3504313) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3503963-3504313"...
% 54.14/7.95 % (3504313)...printing done.
% 54.14/7.95 % (3504313)Refutation found. Thanks to Tanya!
% 54.14/7.95 % SZS status Unsatisfiable for theBenchmark
% 54.14/7.95 % SZS output start Proof for theBenchmark
% See solution above
% 54.14/7.95 % (3504313)------------------------------
% 54.14/7.95 % (3504313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.14/7.95 % (3504313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.14/7.95 % (3504313)CaDiCaL version: 2.1.3
% 54.14/7.95 % (3504313)Termination reason: Refutation
% 54.14/7.95 % (3504313)Time elapsed: 0.138 s
% 54.14/7.95 % (3504313)Peak memory usage: 17 MB
% 54.14/7.95 % (3504313)Instructions burned: 387 (million)
% 54.14/7.95 % (3503963)Success in time 7.726 s
% 54.14/7.95 % Vampire exiting
%------------------------------------------------------------------------------