%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET098-7 : 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 : n026.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 12:43:06 PM UTC 2026
% Result : Unsatisfiable 0.80s 0.60s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 16 unt; 1 def)
% Number of atoms : 52 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 17 ~; 20 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f117,axiom,
! [X0] :
( X0 = null_class
| member(not_subclass_element(X0,null_class),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f118,plain,
! [X0] :
( member(not_subclass_element(X0,null_class),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f117]) ).
fof(f156,axiom,
! [X0] :
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))
| singleton(not_subclass_element(X0,null_class)) = X0
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',number_of_elements_in_class) ).
fof(f157,plain,
! [X0] :
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))
| singleton(not_subclass_element(X0,null_class)) = X0
| null_class = X0 ),
inference(reorient_equations,[],[f156]) ).
fof(f158,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
fof(f159,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
fof(f160,plain,
x != singleton(not_subclass_element(x,null_class)),
inference(reorient_equations,[],[f159]) ).
fof(f161,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
fof(f162,plain,
null_class != x,
inference(reorient_equations,[],[f161]) ).
fof(f241,plain,
! [X0] :
( member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(X0,null_class),not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(unordered_pair(not_subclass_element(X0,null_class),not_subclass_element(X0,null_class))),X0))
| unordered_pair(not_subclass_element(X0,null_class),not_subclass_element(X0,null_class)) = X0
| null_class = X0 ),
inference(definition_unfolding,[],[f157,f12,f12,f12]) ).
fof(f242,plain,
~ member(not_subclass_element(intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x),null_class),x),
inference(definition_unfolding,[],[f158,f12]) ).
fof(f243,plain,
x != unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),
inference(definition_unfolding,[],[f160,f12]) ).
fof(f326,plain,
! [X0,X1] :
( member(not_subclass_element(intersection(X0,X1),null_class),X1)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f118,f22]) ).
fof(f3410,definition,
( spl0_142
<=> null_class = intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f3411,plain,
( null_class != intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x)
| spl0_142 ),
inference(avatar_component_clause,[],[f3410]) ).
fof(f3412,plain,
( null_class = intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f3410]) ).
fof(f3419,plain,
( member(not_subclass_element(null_class,null_class),null_class)
| x = unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))
| null_class = x
| ~ spl0_142 ),
inference(superposition,[],[f241,f3412]) ).
fof(f3426,plain,
( x = unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))
| null_class = x
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f3419,f113]) ).
fof(f3427,plain,
( null_class = x
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f3426,f243]) ).
fof(f3428,plain,
( $false
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f3427,f162]) ).
fof(f3429,plain,
~ spl0_142,
inference(avatar_contradiction_clause,[],[f3428]) ).
fof(f4015,plain,
null_class = intersection(complement(unordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class))),x),
inference(resolution,[],[f326,f242]) ).
fof(f4048,plain,
( $false
| spl0_142 ),
inference(forward_subsumption_resolution,[],[f4015,f3411]) ).
fof(f4049,plain,
spl0_142,
inference(avatar_contradiction_clause,[],[f4048]) ).
cnf(s170,plain,
~ spl0_142,
inference(sat_conversion,[],[f3429]) ).
cnf(s207,plain,
spl0_142,
inference(sat_conversion,[],[f4049]) ).
cnf(s208,plain,
$false,
inference(rat,[],[s170,s207]) ).
fof(f4052,plain,
$false,
inference(avatar_sat_refutation,[],[s208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET098-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n026.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 00:44:12 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.80/0.60 % (3370308)Will run a generic schedule for satisfiability detection.
% 0.80/0.60 % (3370313)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1085896652_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.60 % (3370314)% WARNING: option uhcvi not known.
% 0.80/0.60 % (3370316)dis+10_1_sil=32000:sp=arity:random_seed=616150742:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.60 % (3370318)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2311013828:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.60 % (3370314)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=269840774:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.60 % (3370315)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2442544803:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.60 % (3370317)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2124390581:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.60 % (3370319)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1569592536:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.60 % (3370316)Instruction limit reached!
% 0.80/0.60 % (3370316)------------------------------
% 0.80/0.60 % (3370316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.60 % (3370316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.60 % (3370316)CaDiCaL version: 2.1.3
% 0.80/0.60 % (3370316)Termination reason: Instruction limit
% 0.80/0.60 % (3370316)Termination phase: Saturation
% 0.80/0.60 % (3370316)Time elapsed: 0.062 s
% 0.80/0.60 % (3370316)Peak memory usage: 12 MB
% 0.80/0.60 % (3370316)Instructions burned: 103 (million)
% 0.80/0.60 % (3370317)Instruction limit reached!
% 0.80/0.60 % (3370317)------------------------------
% 0.80/0.60 % (3370317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.60 % (3370317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.60 % (3370317)CaDiCaL version: 2.1.3
% 0.80/0.60 % (3370317)Termination reason: Instruction limit
% 0.80/0.60 % (3370317)Termination phase: Saturation
% 0.80/0.60 % (3370317)Time elapsed: 0.069 s
% 0.80/0.60 % (3370317)Peak memory usage: 12 MB
% 0.80/0.60 % (3370317)Instructions burned: 116 (million)
% 0.80/0.60 % (3370327)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3510527742:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.60 % (3370328)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3328777474:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.80/0.60 % (3370318)Instruction limit reached!
% 0.80/0.60 % (3370318)------------------------------
% 0.80/0.60 % (3370318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.60 % (3370318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.60 % (3370318)CaDiCaL version: 2.1.3
% 0.80/0.60 % (3370318)Termination reason: Instruction limit
% 0.80/0.60 % (3370318)Termination phase: Saturation
% 0.80/0.60 % (3370318)Time elapsed: 0.090 s
% 0.80/0.60 % (3370318)Peak memory usage: 13 MB
% 0.80/0.60 % (3370318)Instructions burned: 132 (million)
% 0.80/0.60 % TRYING [1]
% 0.80/0.60 % TRYING [2]
% 0.80/0.60 % TRYING [3]
% 0.80/0.60 % (3370331)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=37810074:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.60 % (3370319)Instruction limit reached!
% 0.80/0.60 % (3370319)------------------------------
% 0.80/0.60 % (3370319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.60 % (3370319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.60 % (3370319)CaDiCaL version: 2.1.3
% 0.80/0.60 % (3370319)Termination reason: Instruction limit
% 0.80/0.60 % (3370319)Termination phase: Saturation
% 0.80/0.60 % (3370319)Time elapsed: 0.113 s
% 0.80/0.60 % (3370319)Peak memory usage: 13 MB
% 0.80/0.60 % (3370319)Instructions burned: 160 (million)
% 0.80/0.60 % (3370314) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3370308-3370314"...
% 0.80/0.60 % (3370314)...printing done.
% 0.80/0.60 % (3370314)Refutation found. Thanks to Tanya!
% 0.80/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.60 % (3370314)------------------------------
% 0.80/0.60 % (3370314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.60 % (3370314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.60 % (3370314)CaDiCaL version: 2.1.3
% 0.80/0.60 % (3370314)Termination reason: Refutation
% 0.80/0.60 % (3370314)Time elapsed: 0.117 s
% 0.80/0.60 % (3370314)Peak memory usage: 14 MB
% 0.80/0.60 % (3370314)Instructions burned: 184 (million)
% 0.80/0.60 % (3370308)Success in time 0.154 s
% 0.80/0.60 % Vampire exiting
%------------------------------------------------------------------------------