%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET189-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 12:43:24 PM UTC 2026
% Result : Unsatisfiable 2.29s 0.87s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 74 ( 23 unt; 7 def)
% Number of atoms : 146 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 126 ( 54 ~; 67 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
intersection(complement(y),x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_1) ).
fof(f123,plain,
null_class = intersection(complement(y),x),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
subclass(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_2) ).
fof(f125,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_3) ).
fof(f126,plain,
y != x,
inference(reorient_equations,[],[f125]) ).
fof(f193,definition,
sF0 = complement(y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f194,plain,
complement(y) = sF0,
inference(reorient_equations,[],[f193]) ).
fof(f195,definition,
sF1 = intersection(sF0,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f196,plain,
intersection(sF0,x) = sF1,
inference(reorient_equations,[],[f195]) ).
fof(f197,plain,
null_class = sF1,
inference(definition_folding,[],[f123,f196,f194]) ).
fof(f198,plain,
null_class = intersection(sF0,x),
inference(forward_demodulation,[],[f196,f197]) ).
fof(f265,plain,
( ~ subclass(x,y)
| y = x ),
inference(resolution,[],[f7,f124]) ).
fof(f266,plain,
~ subclass(x,y),
inference(forward_subsumption_resolution,[],[f265,f126]) ).
fof(f312,plain,
member(not_subclass_element(x,y),x),
inference(resolution,[],[f266,f2]) ).
fof(f316,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f317,plain,
! [X0] :
( ~ subclass(x,X0)
| member(not_subclass_element(x,y),X0) ),
inference(resolution,[],[f312,f1]) ).
fof(f338,plain,
member(not_subclass_element(x,y),universal_class),
inference(resolution,[],[f317,f4]) ).
fof(f370,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF0)
| member(X0,y) ),
inference(superposition,[],[f25,f194]) ).
fof(f394,definition,
( spl2_26
<=> member(not_subclass_element(x,y),y) ),
introduced(definition,[new_symbols(definition,[spl2_26])],[avatar_definition]) ).
fof(f395,plain,
( member(not_subclass_element(x,y),y)
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( ~ member(not_subclass_element(x,y),y)
| spl2_26 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f403,definition,
( spl2_28
<=> member(not_subclass_element(x,y),sF0) ),
introduced(definition,[new_symbols(definition,[spl2_28])],[avatar_definition]) ).
fof(f404,plain,
( ~ member(not_subclass_element(x,y),sF0)
| spl2_28 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f405,plain,
( member(not_subclass_element(x,y),sF0)
| ~ spl2_28 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f418,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[],[f23,f198]) ).
fof(f444,plain,
( ~ member(not_subclass_element(x,y),x)
| member(not_subclass_element(x,y),null_class)
| ~ spl2_28 ),
inference(resolution,[],[f418,f405]) ).
fof(f467,plain,
( member(not_subclass_element(x,y),null_class)
| ~ spl2_28 ),
inference(forward_subsumption_resolution,[],[f444,f312]) ).
fof(f469,definition,
( spl2_35
<=> member(not_subclass_element(x,y),null_class) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
fof(f471,plain,
( member(not_subclass_element(x,y),null_class)
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,plain,
( spl2_35
| ~ spl2_28 ),
inference(avatar_split_clause,[],[f467,f403,f469]) ).
fof(f1368,plain,
( member(not_subclass_element(x,y),sF0)
| member(not_subclass_element(x,y),y) ),
inference(resolution,[],[f370,f338]) ).
fof(f1520,plain,
( member(not_subclass_element(x,y),y)
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f1368,f404]) ).
fof(f1543,plain,
( $false
| spl2_26
| spl2_28 ),
inference(forward_subsumption_resolution,[],[f1520,f396]) ).
fof(f1544,plain,
( spl2_26
| spl2_28 ),
inference(avatar_contradiction_clause,[],[f1543]) ).
fof(f1731,definition,
( spl2_178
<=> ! [X0] :
( member(not_subclass_element(x,y),X0)
| null_class = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
fof(f1732,plain,
( ! [X0] :
( member(not_subclass_element(x,y),X0)
| null_class = X0 )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f1731]) ).
fof(f1736,definition,
( spl2_179
<=> null_class = y ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
fof(f1737,plain,
( null_class != y
| spl2_179 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1738,plain,
( null_class = y
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1786,plain,
( ! [X0] :
( member(not_subclass_element(x,y),X0)
| null_class = X0 )
| ~ spl2_35 ),
inference(resolution,[],[f471,f316]) ).
fof(f1790,plain,
( spl2_178
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f1786,f469,f1731]) ).
fof(f1805,plain,
( subclass(x,y)
| ~ spl2_26 ),
inference(resolution,[],[f395,f3]) ).
fof(f1807,plain,
( $false
| ~ spl2_26 ),
inference(forward_subsumption_resolution,[],[f1805,f266]) ).
fof(f1808,plain,
~ spl2_26,
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f3124,plain,
( ~ member(not_subclass_element(x,null_class),null_class)
| spl2_26
| ~ spl2_179 ),
inference(superposition,[],[f396,f1738]) ).
fof(f3126,plain,
( member(not_subclass_element(x,null_class),null_class)
| ~ spl2_35
| ~ spl2_179 ),
inference(superposition,[],[f471,f1738]) ).
fof(f3153,plain,
( $false
| spl2_26
| ~ spl2_35
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f3124,f3126]) ).
fof(f3154,plain,
( spl2_26
| ~ spl2_35
| ~ spl2_179 ),
inference(avatar_contradiction_clause,[],[f3153]) ).
fof(f4607,plain,
( null_class = y
| subclass(x,y)
| ~ spl2_178 ),
inference(resolution,[],[f1732,f3]) ).
fof(f4642,plain,
( subclass(x,y)
| ~ spl2_178
| spl2_179 ),
inference(forward_subsumption_resolution,[],[f4607,f1737]) ).
fof(f4652,plain,
( $false
| ~ spl2_178
| spl2_179 ),
inference(forward_subsumption_resolution,[],[f4642,f266]) ).
fof(f4653,plain,
( ~ spl2_178
| spl2_179 ),
inference(avatar_contradiction_clause,[],[f4652]) ).
cnf(s21,plain,
( ~ spl2_28
| spl2_35 ),
inference(sat_conversion,[],[f473]) ).
cnf(s126,plain,
( spl2_26
| spl2_28 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s156,plain,
( ~ spl2_35
| spl2_178 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s161,plain,
~ spl2_26,
inference(sat_conversion,[],[f1808]) ).
cnf(s242,plain,
( spl2_26
| ~ spl2_35
| ~ spl2_179 ),
inference(sat_conversion,[],[f3154]) ).
cnf(s307,plain,
( ~ spl2_178
| spl2_179 ),
inference(sat_conversion,[],[f4653]) ).
cnf(s311,plain,
spl2_28,
inference(rat,[],[s126,s161]) ).
cnf(s316,plain,
spl2_35,
inference(rat,[],[s21,s311]) ).
cnf(s317,plain,
~ spl2_179,
inference(rat,[],[s242,s161,s316]) ).
cnf(s318,plain,
spl2_178,
inference(rat,[],[s156,s316]) ).
cnf(s319,plain,
$false,
inference(rat,[],[s307,s317,s318]) ).
fof(f4654,plain,
$false,
inference(avatar_sat_refutation,[],[s319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET189-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n005.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 01:03:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 2.29/0.87 % (339537)Will run a generic schedule for satisfiability detection.
% 2.29/0.87 % (339546)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3003070994:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.29/0.87 % (339543)% WARNING: option uhcvi not known.
% 2.29/0.87 % (339542)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1012456339_2999 on theBenchmark for (2999ds/0Mi)
% 2.29/0.87 % (339548)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=638545854:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.29/0.87 % (339545)dis+10_1_sil=32000:sp=arity:random_seed=2544060324:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.29/0.87 % (339544)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2759755839:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.29/0.87 % (339547)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=670013141:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.29/0.87 % (339543)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1423934299:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.29/0.87 % (339546)Instruction limit reached!
% 2.29/0.87 % (339546)------------------------------
% 2.29/0.87 % (339546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339546)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339546)Termination reason: Instruction limit
% 2.29/0.87 % (339546)Termination phase: Saturation
% 2.29/0.87 % (339546)Time elapsed: 0.038 s
% 2.29/0.87 % (339546)Peak memory usage: 13 MB
% 2.29/0.87 % (339546)Instructions burned: 117 (million)
% 2.29/0.87 % (339556)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2766807403:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.29/0.87 % (339545)Instruction limit reached!
% 2.29/0.87 % (339545)------------------------------
% 2.29/0.87 % (339545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339545)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339545)Termination reason: Instruction limit
% 2.29/0.87 % (339545)Termination phase: Saturation
% 2.29/0.87 % (339545)Time elapsed: 0.068 s
% 2.29/0.87 % (339545)Peak memory usage: 13 MB
% 2.29/0.87 % (339545)Instructions burned: 103 (million)
% 2.29/0.87 % (339547)Instruction limit reached!
% 2.29/0.87 % (339547)------------------------------
% 2.29/0.87 % (339547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339547)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339547)Termination reason: Instruction limit
% 2.29/0.87 % (339547)Termination phase: Saturation
% 2.29/0.87 % (339547)Time elapsed: 0.079 s
% 2.29/0.87 % (339547)Peak memory usage: 12 MB
% 2.29/0.87 % (339547)Instructions burned: 132 (million)
% 2.29/0.87 % (339558)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3178859758:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.29/0.87 % (339559)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=4231527012:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.29/0.87 % (339548)Instruction limit reached!
% 2.29/0.87 % (339548)------------------------------
% 2.29/0.87 % (339548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339548)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339548)Termination reason: Instruction limit
% 2.29/0.87 % (339548)Termination phase: Saturation
% 2.29/0.87 % (339548)Time elapsed: 0.113 s
% 2.29/0.87 % (339548)Peak memory usage: 13 MB
% 2.29/0.87 % (339548)Instructions burned: 159 (million)
% 2.29/0.87 % (339562)ott-21_1_sil=16000:fs=off:random_seed=823557021:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.29/0.87 % TRYING [1]
% 2.29/0.87 % TRYING [2]
% 2.29/0.87 % TRYING [3]
% 2.29/0.87 % (339558)Instruction limit reached!
% 2.29/0.87 % (339558)------------------------------
% 2.29/0.87 % (339558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339558)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339558)Termination reason: Instruction limit
% 2.29/0.87 % (339558)Termination phase: Saturation
% 2.29/0.87 % (339558)Time elapsed: 0.088 s
% 2.29/0.87 % (339558)Peak memory usage: 13 MB
% 2.29/0.87 % (339558)Instructions burned: 132 (million)
% 2.29/0.87 % (339564)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2156473280:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.29/0.87 % TRYING [1]
% 2.29/0.87 % TRYING [2]
% 2.29/0.87 % (339556)Instruction limit reached!
% 2.29/0.87 % (339556)------------------------------
% 2.29/0.87 % (339556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339556)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339556)Termination reason: Instruction limit
% 2.29/0.87 % (339556)Termination phase: Finite model building constraint generation
% 2.29/0.87 % (339556)Time elapsed: 0.176 s
% 2.29/0.87 % (339556)Peak memory usage: 34 MB
% 2.29/0.87 % (339556)Instructions burned: 717 (million)
% 2.29/0.87 % (339562)Instruction limit reached!
% 2.29/0.87 % (339562)------------------------------
% 2.29/0.87 % (339562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.87 % (339562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.87 % (339562)CaDiCaL version: 2.1.3
% 2.29/0.87 % (339562)Termination reason: Instruction limit
% 2.29/0.87 % (339562)Termination phase: Saturation
% 2.29/0.87 % (339562)Time elapsed: 0.098 s
% 2.29/0.87 % (339562)Peak memory usage: 13 MB
% 2.29/0.87 % (339562)Instructions burned: 180 (million)
% 2.29/0.87 % TRYING [3]
% 2.29/0.87 % (339566)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2476024664:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.29/0.87 % (339567)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2762254293:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.29/0.87 % TRYING [1]
% 2.29/0.87 % TRYING [2]
% 2.29/0.87 % TRYING [4]
% 2.29/0.87 % (339567) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-339537-339567"...
% 2.29/0.87 % (339567)...printing done.
% 2.29/0.87 % (339567)Refutation found. Thanks to Tanya!
% 2.29/0.87 % SZS status Unsatisfiable for theBenchmark
% 2.29/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.88 % (339567)------------------------------
% 2.29/0.88 % (339567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.88 % (339567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.88 % (339567)CaDiCaL version: 2.1.3
% 2.29/0.88 % (339567)Termination reason: Refutation
% 2.29/0.88 % (339567)Time elapsed: 0.172 s
% 2.29/0.88 % (339567)Peak memory usage: 16 MB
% 2.29/0.88 % (339567)Instructions burned: 288 (million)
% 2.29/0.88 % (339537)Success in time 0.462 s
% 2.29/0.88 % Vampire exiting
%------------------------------------------------------------------------------