%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET031-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 23.09s 3.77s
% Output : Refutation 23.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 13 unt; 1 def)
% Number of atoms : 59 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 50 ( 23 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET003-0.ax',relation2) ).
fof(f90,axiom,
! [X0] :
( ~ ordered_pair_predicate(f18(X0))
| relation(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f162,negated_conjecture,
~ relation(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_composition_is_a_relation) ).
fof(f164,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(f167,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,f164]) ).
fof(f185,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,f164]) ).
fof(f193,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,[],[f167]) ).
fof(f205,definition,
sF0 = compose(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f206,plain,
compose(a,b) = sF0,
inference(reorient_equations,[],[f205]) ).
fof(f207,plain,
~ relation(sF0),
inference(definition_folding,[],[f162,f206]) ).
fof(f679,plain,
! [X0,X1] :
( little_set(f29(f18(compose(X0,X1)),X0,X1))
| relation(compose(X0,X1)) ),
inference(resolution,[],[f146,f89]) ).
fof(f693,plain,
! [X0,X1] :
( little_set(f30(f18(compose(X0,X1)),X0,X1))
| relation(compose(X0,X1)) ),
inference(resolution,[],[f147,f89]) ).
fof(f2220,plain,
! [X0] :
( ~ member(X0,sF0)
| non_ordered_pair(non_ordered_pair(f29(X0,a,b),f29(X0,a,b)),non_ordered_pair(f29(X0,a,b),f30(X0,a,b))) = X0 ),
inference(superposition,[],[f185,f206]) ).
fof(f9345,plain,
( little_set(f29(f18(sF0),a,b))
| relation(sF0) ),
inference(superposition,[],[f679,f206]) ).
fof(f9348,plain,
little_set(f29(f18(sF0),a,b)),
inference(forward_subsumption_resolution,[],[f9345,f207]) ).
fof(f9349,plain,
( little_set(f30(f18(sF0),a,b))
| relation(sF0) ),
inference(superposition,[],[f693,f206]) ).
fof(f9352,plain,
little_set(f30(f18(sF0),a,b)),
inference(forward_subsumption_resolution,[],[f9349,f207]) ).
fof(f59631,plain,
( f18(sF0) = non_ordered_pair(non_ordered_pair(f29(f18(sF0),a,b),f29(f18(sF0),a,b)),non_ordered_pair(f29(f18(sF0),a,b),f30(f18(sF0),a,b)))
| relation(sF0) ),
inference(resolution,[],[f2220,f89]) ).
fof(f59658,plain,
f18(sF0) = non_ordered_pair(non_ordered_pair(f29(f18(sF0),a,b),f29(f18(sF0),a,b)),non_ordered_pair(f29(f18(sF0),a,b),f30(f18(sF0),a,b))),
inference(forward_subsumption_resolution,[],[f59631,f207]) ).
fof(f59660,plain,
( ordered_pair_predicate(f18(sF0))
| ~ little_set(f29(f18(sF0),a,b))
| ~ little_set(f30(f18(sF0),a,b)) ),
inference(superposition,[],[f193,f59658]) ).
fof(f59754,plain,
( ordered_pair_predicate(f18(sF0))
| ~ little_set(f30(f18(sF0),a,b)) ),
inference(forward_subsumption_resolution,[],[f59660,f9348]) ).
fof(f59788,plain,
ordered_pair_predicate(f18(sF0)),
inference(forward_subsumption_resolution,[],[f59754,f9352]) ).
fof(f60310,plain,
relation(sF0),
inference(resolution,[],[f59788,f90]) ).
fof(f60312,plain,
$false,
inference(forward_subsumption_resolution,[],[f60310,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET031-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 00:15:37 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 6.38/1.49 % (4025776)Will run a generic schedule for satisfiability detection.
% 6.38/1.49 % (4025784)dis+10_1_sil=32000:sp=arity:random_seed=1384229621:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.38/1.49 % (4025782)% WARNING: option uhcvi not known.
% 6.38/1.49 % (4025781)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=931302397_2999 on theBenchmark for (2999ds/0Mi)
% 6.38/1.49 % (4025783)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=174501467:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.38/1.49 % (4025782)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1558723110:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.38/1.49 % (4025785)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3448110705:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.38/1.49 % (4025786)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2940399862:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.38/1.49 % (4025787)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3500668418:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.38/1.49 % TRYING [1]
% 6.38/1.49 % TRYING [2]
% 6.38/1.49 % (4025784)Instruction limit reached!
% 6.38/1.49 % (4025784)------------------------------
% 6.38/1.49 % (4025784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.38/1.49 % (4025784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.49 % (4025784)CaDiCaL version: 2.1.3
% 6.38/1.49 % (4025784)Termination reason: Instruction limit
% 6.38/1.49 % (4025784)Termination phase: Saturation
% 6.38/1.49 % (4025784)Time elapsed: 0.035 s
% 6.38/1.49 % (4025784)Peak memory usage: 12 MB
% 6.38/1.49 % (4025784)Instructions burned: 103 (million)
% 6.38/1.49 % TRYING [3]
% 6.38/1.49 % (4025795)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=371243455:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.38/1.49 % TRYING [1]
% 6.38/1.49 % TRYING [2]
% 6.38/1.49 % TRYING [3]
% 6.38/1.49 % (4025786)Instruction limit reached!
% 6.38/1.49 % (4025786)------------------------------
% 6.38/1.49 % (4025786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.38/1.49 % (4025786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.49 % (4025786)CaDiCaL version: 2.1.3
% 6.38/1.49 % (4025786)Termination reason: Instruction limit
% 6.38/1.49 % (4025786)Termination phase: Saturation
% 6.38/1.49 % (4025786)Time elapsed: 0.068 s
% 6.38/1.49 % (4025786)Peak memory usage: 13 MB
% 6.38/1.49 % (4025786)Instructions burned: 131 (million)
% 6.38/1.49 % (4025785)Instruction limit reached!
% 6.38/1.49 % (4025785)------------------------------
% 6.38/1.49 % (4025785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.38/1.49 % (4025785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.49 % (4025785)CaDiCaL version: 2.1.3
% 6.38/1.49 % (4025785)Termination reason: Instruction limit
% 6.38/1.49 % (4025785)Termination phase: Saturation
% 6.38/1.49 % (4025785)Time elapsed: 0.069 s
% 6.38/1.49 % (4025785)Peak memory usage: 13 MB
% 6.38/1.49 % (4025785)Instructions burned: 116 (million)
% 6.38/1.49 % (4025797)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1695040564:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.38/1.49 % (4025787)Instruction limit reached!
% 6.38/1.49 % (4025787)------------------------------
% 6.38/1.49 % (4025787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.38/1.49 % (4025787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.38/1.49 % (4025787)CaDiCaL version: 2.1.3
% 6.38/1.49 % (4025787)Termination reason: Instruction limit
% 6.38/1.49 % (4025787)Termination phase: Saturation
% 6.38/1.49 % (4025787)Time elapsed: 0.092 s
% 6.38/1.49 % (4025787)Peak memory usage: 14 MB
% 6.38/1.49 % (4025787)Instructions burned: 159 (million)
% 6.38/1.49 % (4025798)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=855054120:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.38/1.49 % (4025801)ott-21_1_sil=16000:fs=off:random_seed=1358439667:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.38/1.49 % (4025797)Instruction limit reached!
% 6.38/1.49 % (4025797)------------------------------
% 6.38/1.49 % (4025797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.38/1.49 % (4025797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.76 % (4025797)CaDiCaL version: 2.1.3
% 23.09/3.76 % (4025797)Termination reason: Instruction limit
% 23.09/3.76 % (4025797)Termination phase: Saturation
% 23.09/3.76 % (4025797)Time elapsed: 0.084 s
% 23.09/3.76 % (4025797)Peak memory usage: 14 MB
% 23.09/3.76 % (4025797)Instructions burned: 131 (million)
% 23.09/3.76 % (4025795)Instruction limit reached!
% 23.09/3.76 % (4025795)------------------------------
% 23.09/3.76 % (4025795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.76 % (4025795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.76 % (4025795)CaDiCaL version: 2.1.3
% 23.09/3.76 % (4025795)Termination reason: Instruction limit
% 23.09/3.76 % (4025795)Termination phase: Finite model building constraint generation
% 23.09/3.76 % (4025795)Time elapsed: 0.137 s
% 23.09/3.76 % (4025795)Peak memory usage: 39 MB
% 23.09/3.76 % (4025795)Instructions burned: 718 (million)
% 23.09/3.76 % (4025804)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2424827386:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 23.09/3.76 % (4025803)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=425693254:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 23.09/3.76 % TRYING [1]
% 23.09/3.76 % TRYING [2]
% 23.09/3.76 % (4025801)Instruction limit reached!
% 23.09/3.76 % (4025801)------------------------------
% 23.09/3.76 % (4025801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.76 % (4025801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.76 % (4025801)CaDiCaL version: 2.1.3
% 23.09/3.76 % (4025801)Termination reason: Instruction limit
% 23.09/3.76 % (4025801)Termination phase: Saturation
% 23.09/3.76 % (4025801)Time elapsed: 0.100 s
% 23.09/3.76 % (4025801)Peak memory usage: 13 MB
% 23.09/3.76 % (4025801)Instructions burned: 180 (million)
% 23.09/3.76 % TRYING [3]
% 23.09/3.76 % (4025807)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3212682807:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 23.09/3.76 % TRYING [4]
% 23.09/3.76 % (4025804)Instruction limit reached!
% 23.09/3.76 % (4025804)------------------------------
% 23.09/3.76 % (4025804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.76 % (4025804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.76 % (4025804)CaDiCaL version: 2.1.3
% 23.09/3.76 % (4025804)Termination reason: Instruction limit
% 23.09/3.76 % (4025804)Termination phase: Finite model building SAT solving
% 23.09/3.76 % (4025804)Time elapsed: 0.183 s
% 23.09/3.76 % (4025804)Peak memory usage: 41 MB
% 23.09/3.76 % (4025804)Instructions burned: 868 (million)
% 23.09/3.76 % (4025809)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=690949082:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 23.09/3.76 % (4025809)Cannot represent all propositional literals internally
% 23.09/3.76 % (4025809)Refutation not found, incomplete strategy
% 23.09/3.76 % (4025809)------------------------------
% 23.09/3.76 % (4025809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.76 % (4025809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.76 % (4025809)CaDiCaL version: 2.1.3
% 23.09/3.76 % (4025809)Termination reason: Refutation not found, incomplete strategy
% 23.09/3.76 % (4025809)Time elapsed: 0.007 s
% 23.09/3.76 % (4025809)Peak memory usage: 10 MB
% 23.09/3.76 % (4025809)Instructions burned: 27 (million)
% 23.09/3.77 % (4025809)------------------------------
% 23.09/3.77 % (4025809)------------------------------
% 23.09/3.77 % (4025811)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=1460863819:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 23.09/3.77 % (4025798)Instruction limit reached!
% 23.09/3.77 % (4025798)------------------------------
% 23.09/3.77 % (4025798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025798)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025798)Termination reason: Instruction limit
% 23.09/3.77 % (4025798)Termination phase: Saturation
% 23.09/3.77 % (4025798)Time elapsed: 0.407 s
% 23.09/3.77 % (4025798)Peak memory usage: 20 MB
% 23.09/3.77 % (4025798)Instructions burned: 685 (million)
% 23.09/3.77 % (4025813)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1160019513:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 23.09/3.77 % (4025803)Instruction limit reached!
% 23.09/3.77 % (4025803)------------------------------
% 23.09/3.77 % (4025803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025803)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025803)Termination reason: Instruction limit
% 23.09/3.77 % (4025803)Termination phase: Saturation
% 23.09/3.77 % (4025803)Time elapsed: 0.336 s
% 23.09/3.77 % (4025803)Peak memory usage: 15 MB
% 23.09/3.77 % (4025803)Instructions burned: 481 (million)
% 23.09/3.77 % (4025815)fmb+10_1_sil=64000:random_seed=3055665793:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 23.09/3.77 % TRYING [1]
% 23.09/3.77 % TRYING [2]
% 23.09/3.77 % TRYING [3]
% 23.09/3.77 % (4025811)Instruction limit reached!
% 23.09/3.77 % (4025811)------------------------------
% 23.09/3.77 % (4025811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025811)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025811)Termination reason: Instruction limit
% 23.09/3.77 % (4025811)Termination phase: Saturation
% 23.09/3.77 % (4025811)Time elapsed: 0.279 s
% 23.09/3.77 % (4025811)Peak memory usage: 20 MB
% 23.09/3.77 % (4025811)Instructions burned: 695 (million)
% 23.09/3.77 % (4025817)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=186866671:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 23.09/3.77 % (4025817)Cannot represent all propositional literals internally
% 23.09/3.77 % (4025817)Refutation not found, incomplete strategy
% 23.09/3.77 % (4025817)------------------------------
% 23.09/3.77 % (4025817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025817)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025817)Termination reason: Refutation not found, incomplete strategy
% 23.09/3.77 % (4025817)Time elapsed: 0.008 s
% 23.09/3.77 % (4025817)Peak memory usage: 11 MB
% 23.09/3.77 % (4025817)Instructions burned: 30 (million)
% 23.09/3.77 % (4025817)------------------------------
% 23.09/3.77 % (4025817)------------------------------
% 23.09/3.77 % (4025819)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1122623192:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 23.09/3.77 % TRYING [8]
% 23.09/3.77 % (4025819)Instruction limit reached!
% 23.09/3.77 % (4025819)------------------------------
% 23.09/3.77 % (4025819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025819)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025819)Termination reason: Instruction limit
% 23.09/3.77 % (4025819)Termination phase: Finite model building constraint generation
% 23.09/3.77 % (4025819)Time elapsed: 0.180 s
% 23.09/3.77 % (4025819)Peak memory usage: 75 MB
% 23.09/3.77 % (4025819)Instructions burned: 924 (million)
% 23.09/3.77 % (4025807)Instruction limit reached!
% 23.09/3.77 % (4025807)------------------------------
% 23.09/3.77 % (4025807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025807)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025807)Termination reason: Instruction limit
% 23.09/3.77 % (4025807)Termination phase: Saturation
% 23.09/3.77 % (4025807)Time elapsed: 0.681 s
% 23.09/3.77 % (4025807)Peak memory usage: 29 MB
% 23.09/3.77 % (4025807)Instructions burned: 1179 (million)
% 23.09/3.77 % (4025821)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1903626423:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 23.09/3.77 % (4025822)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2753955254:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 23.09/3.77 % (4025813)Instruction limit reached!
% 23.09/3.77 % (4025813)------------------------------
% 23.09/3.77 % (4025813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025813)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025813)Termination reason: Instruction limit
% 23.09/3.77 % (4025813)Termination phase: Saturation
% 23.09/3.77 % (4025813)Time elapsed: 0.471 s
% 23.09/3.77 % (4025813)Peak memory usage: 20 MB
% 23.09/3.77 % (4025813)Instructions burned: 879 (million)
% 23.09/3.77 % (4025825)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1769588097:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 23.09/3.77 % (4025825)Cannot represent all propositional literals internally
% 23.09/3.77 % (4025825)Refutation not found, incomplete strategy
% 23.09/3.77 % (4025825)------------------------------
% 23.09/3.77 % (4025825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025825)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025825)Termination reason: Refutation not found, incomplete strategy
% 23.09/3.77 % (4025825)Time elapsed: 0.016 s
% 23.09/3.77 % (4025825)Peak memory usage: 11 MB
% 23.09/3.77 % (4025825)Instructions burned: 31 (million)
% 23.09/3.77 % (4025825)------------------------------
% 23.09/3.77 % (4025825)------------------------------
% 23.09/3.77 % (4025827)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2729787795:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 23.09/3.77 % (4025827)Cannot represent all propositional literals internally
% 23.09/3.77 % (4025827)Refutation not found, incomplete strategy
% 23.09/3.77 % (4025827)------------------------------
% 23.09/3.77 % (4025827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025827)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025827)Termination reason: Refutation not found, incomplete strategy
% 23.09/3.77 % (4025827)Time elapsed: 0.088 s
% 23.09/3.77 % (4025827)Peak memory usage: 12 MB
% 23.09/3.77 % (4025827)Instructions burned: 181 (million)
% 23.09/3.77 % (4025827)------------------------------
% 23.09/3.77 % (4025827)------------------------------
% 23.09/3.77 % (4025829)ott-2_1_sil=16000:newcnf=on:random_seed=2685043626:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 23.09/3.77 % TRYING [4]
% 23.09/3.77 % (4025822)Instruction limit reached!
% 23.09/3.77 % (4025822)------------------------------
% 23.09/3.77 % (4025822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025822)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025822)Termination reason: Instruction limit
% 23.09/3.77 % (4025822)Termination phase: Saturation
% 23.09/3.77 % (4025822)Time elapsed: 0.605 s
% 23.09/3.77 % (4025822)Peak memory usage: 19 MB
% 23.09/3.77 % (4025822)Instructions burned: 1472 (million)
% 23.09/3.77 % (4025831)ott+10_1_sil=32000:tgt=ground:random_seed=2114808104:i=5114:av=off_2984 on theBenchmark for (2984ds/5114Mi)
% 23.09/3.77 % (4025829)Instruction limit reached!
% 23.09/3.77 % (4025829)------------------------------
% 23.09/3.77 % (4025829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025829)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025829)Termination reason: Instruction limit
% 23.09/3.77 % (4025829)Termination phase: Saturation
% 23.09/3.77 % (4025829)Time elapsed: 0.489 s
% 23.09/3.77 % (4025829)Peak memory usage: 24 MB
% 23.09/3.77 % (4025829)Instructions burned: 870 (million)
% 23.09/3.77 % (4025833)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3261019026:i=54282_2983 on theBenchmark for (2983ds/54282Mi)
% 23.09/3.77 % TRYING [1]
% 23.09/3.77 % TRYING [2]
% 23.09/3.77 % TRYING [3]
% 23.09/3.77 % TRYING [4]
% 23.09/3.77 % (4025821)Instruction limit reached!
% 23.09/3.77 % (4025821)------------------------------
% 23.09/3.77 % (4025821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025821)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025821)Termination reason: Instruction limit
% 23.09/3.77 % (4025821)Termination phase: Saturation
% 23.09/3.77 % (4025821)Time elapsed: 1.438 s
% 23.09/3.77 % (4025821)Peak memory usage: 59 MB
% 23.09/3.77 % (4025821)Instructions burned: 5133 (million)
% 23.09/3.77 % (4025835)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=537876568:i=3512:aac=none_2975 on theBenchmark for (2975ds/3512Mi)
% 23.09/3.77 % (4025831) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4025776-4025831"...
% 23.09/3.77 % (4025831)...printing done.
% 23.09/3.77 % (4025831)Refutation found. Thanks to Tanya!
% 23.09/3.77 % SZS status Unsatisfiable for theBenchmark
% 23.09/3.77 % SZS output start Proof for theBenchmark
% See solution above
% 23.09/3.77 % (4025831)------------------------------
% 23.09/3.77 % (4025831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.09/3.77 % (4025831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.09/3.77 % (4025831)CaDiCaL version: 2.1.3
% 23.09/3.77 % (4025831)Termination reason: Refutation
% 23.09/3.77 % (4025831)Time elapsed: 1.674 s
% 23.09/3.77 % (4025831)Peak memory usage: 51 MB
% 23.09/3.77 % (4025831)Instructions burned: 3026 (million)
% 23.09/3.77 % (4025776)Success in time 3.332 s
% 23.09/3.77 % Vampire exiting
%------------------------------------------------------------------------------