%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:43:50 PM UTC 2026
% Result : Unsatisfiable 1.33s 0.65s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 19 unt; 1 def)
% Number of atoms : 52 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
fof(f107,axiom,
subclass(domain_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-1.ax',definition_of_domain_relation1) ).
fof(f109,axiom,
! [X0] :
( ~ member(X0,universal_class)
| member(ordered_pair(X0,domain_of(X0)),domain_relation) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-1.ax',definition_of_domain_relation3) ).
fof(f122,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_replacement_property1_1) ).
fof(f123,negated_conjecture,
~ member(domain_of(x),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_replacement_property1_2) ).
fof(f128,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f128]) ).
fof(f180,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(X0),domain_of(X0)))),domain_relation) ),
inference(definition_unfolding,[],[f109,f128]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,X0)
| subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f193,plain,
! [X0] : ~ subclass(X0,universal_class),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f202,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| ~ member(X1,X3) ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f264,plain,
~ subclass(domain_relation,cross_product(universal_class,universal_class)),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f266,plain,
! [X0] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(X0),domain_of(X0)))),domain_relation)
| member(X0,universal_class) ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f275,plain,
~ member(x,universal_class),
inference(consistent_polarity_flipping,[],[f122]) ).
fof(f276,plain,
member(domain_of(x),universal_class),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f335,plain,
! [X0] :
( member(domain_of(x),X0)
| subclass(X0,universal_class) ),
inference(resolution,[],[f190,f276]) ).
fof(f340,plain,
! [X0] : member(domain_of(x),X0),
inference(forward_subsumption_resolution,[],[f335,f193]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,X1)
| member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X0,X0))),X3)
| subclass(X3,cross_product(X4,X1)) ),
inference(resolution,[],[f202,f190]) ).
fof(f1883,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(domain_of(x),domain_of(x)))),X1)
| subclass(X1,cross_product(X2,X3)) ),
inference(resolution,[],[f421,f340]) ).
fof(f2093,definition,
( spl0_170
<=> ! [X2,X3] : subclass(domain_relation,cross_product(X2,X3)) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f2094,plain,
( ! [X2,X3] : subclass(domain_relation,cross_product(X2,X3))
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f2226,plain,
( $false
| ~ spl0_170 ),
inference(backward_subsumption_resolution,[],[f264,f2094]) ).
fof(f2230,plain,
~ spl0_170,
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f4905,plain,
! [X0,X1] :
( subclass(domain_relation,cross_product(X0,X1))
| member(x,universal_class) ),
inference(resolution,[],[f1883,f266]) ).
fof(f4913,plain,
! [X0,X1] : subclass(domain_relation,cross_product(X0,X1)),
inference(forward_subsumption_resolution,[],[f4905,f275]) ).
fof(f4931,plain,
spl0_170,
inference(avatar_split_clause,[],[f4913,f2093]) ).
cnf(s167,plain,
~ spl0_170,
inference(sat_conversion,[],[f2230]) ).
cnf(s386,plain,
spl0_170,
inference(sat_conversion,[],[f4931]) ).
cnf(s387,plain,
$false,
inference(rat,[],[s167,s386]) ).
fof(f4932,plain,
$false,
inference(avatar_sat_refutation,[],[s387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n001.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 02:01:32 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 1.33/0.65 % (4142399)Will run a generic schedule for satisfiability detection.
% 1.33/0.65 % (4142408)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3528833126:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.33/0.65 % (4142405)% WARNING: option uhcvi not known.
% 1.33/0.65 % (4142404)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1433997052_2999 on theBenchmark for (2999ds/0Mi)
% 1.33/0.65 % (4142405)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1347027959:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.33/0.65 % (4142407)dis+10_1_sil=32000:sp=arity:random_seed=1647807377:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.33/0.65 % (4142406)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1052631455:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.33/0.65 % (4142410)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1640284614:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.33/0.65 % (4142409)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3377362199:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.33/0.65 % (4142408)Instruction limit reached!
% 1.33/0.65 % (4142408)------------------------------
% 1.33/0.65 % (4142408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (4142408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (4142408)CaDiCaL version: 2.1.3
% 1.33/0.65 % (4142408)Termination reason: Instruction limit
% 1.33/0.65 % (4142408)Termination phase: Saturation
% 1.33/0.65 % (4142408)Time elapsed: 0.039 s
% 1.33/0.65 % (4142408)Peak memory usage: 13 MB
% 1.33/0.65 % (4142408)Instructions burned: 117 (million)
% 1.33/0.65 % (4142418)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3027954424:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.33/0.65 % (4142407)Instruction limit reached!
% 1.33/0.65 % (4142407)------------------------------
% 1.33/0.65 % (4142407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (4142407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (4142407)CaDiCaL version: 2.1.3
% 1.33/0.65 % (4142407)Termination reason: Instruction limit
% 1.33/0.65 % (4142407)Termination phase: Saturation
% 1.33/0.65 % (4142407)Time elapsed: 0.067 s
% 1.33/0.65 % (4142407)Peak memory usage: 13 MB
% 1.33/0.65 % (4142407)Instructions burned: 104 (million)
% 1.33/0.65 % (4142409)Instruction limit reached!
% 1.33/0.65 % (4142409)------------------------------
% 1.33/0.65 % (4142409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (4142409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (4142409)CaDiCaL version: 2.1.3
% 1.33/0.65 % (4142409)Termination reason: Instruction limit
% 1.33/0.65 % (4142409)Termination phase: Saturation
% 1.33/0.65 % (4142409)Time elapsed: 0.081 s
% 1.33/0.65 % (4142409)Peak memory usage: 13 MB
% 1.33/0.65 % (4142409)Instructions burned: 137 (million)
% 1.33/0.65 % (4142420)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3651083344:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.33/0.65 % (4142421)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=3015445848:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.33/0.65 % (4142410)Instruction limit reached!
% 1.33/0.65 % (4142410)------------------------------
% 1.33/0.65 % (4142410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (4142410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (4142410)CaDiCaL version: 2.1.3
% 1.33/0.65 % (4142410)Termination reason: Instruction limit
% 1.33/0.65 % (4142410)Termination phase: Saturation
% 1.33/0.65 % (4142410)Time elapsed: 0.106 s
% 1.33/0.65 % (4142410)Peak memory usage: 13 MB
% 1.33/0.65 % (4142410)Instructions burned: 159 (million)
% 1.33/0.65 % (4142424)ott-21_1_sil=16000:fs=off:random_seed=1674582618:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.33/0.65 % (4142420)Instruction limit reached!
% 1.33/0.65 % (4142420)------------------------------
% 1.33/0.65 % (4142420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (4142420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (4142420)CaDiCaL version: 2.1.3
% 1.33/0.65 % (4142420)Termination reason: Instruction limit
% 1.33/0.65 % (4142420)Termination phase: Saturation
% 1.33/0.65 % (4142420)Time elapsed: 0.085 s
% 1.33/0.65 % (4142420)Peak memory usage: 13 MB
% 1.33/0.65 % (4142420)Instructions burned: 132 (million)
% 1.33/0.65 % TRYING [1]
% 1.33/0.65 % TRYING [2]
% 1.33/0.65 % (4142405) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4142399-4142405"...
% 1.33/0.65 % TRYING [3]
% 1.33/0.65 % (4142405)...printing done.
% 1.33/0.65 % (4142405)Refutation found. Thanks to Tanya!
% 1.33/0.65 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.65 % (4142405)------------------------------
% 1.33/0.65 % (4142405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.33/0.65 % (4142405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.33/0.65 % (4142405)CaDiCaL version: 2.1.3
% 1.33/0.65 % (4142405)Termination reason: Refutation
% 1.33/0.65 % (4142405)Time elapsed: 0.188 s
% 1.33/0.65 % (4142405)Peak memory usage: 16 MB
% 1.33/0.65 % (4142405)Instructions burned: 326 (million)
% 1.33/0.65 % (4142399)Success in time 0.226 s
% 1.33/0.65 % Vampire exiting
%------------------------------------------------------------------------------