%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET096-7 : 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 : n017.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 0.42s 0.55s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 16 unt; 1 def)
% Number of atoms : 60 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 23 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f153,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| subclass(singleton(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singletons2) ).
fof(f154,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
fof(f155,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
fof(f156,plain,
null_class != x,
inference(reorient_equations,[],[f155]) ).
fof(f157,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
fof(f158,plain,
x != singleton(y),
inference(reorient_equations,[],[f157]) ).
fof(f223,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f137,f12]) ).
fof(f235,plain,
! [X0,X1] :
( subclass(unordered_pair(X0,X0),X1)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f153,f12]) ).
fof(f236,plain,
subclass(x,unordered_pair(y,y)),
inference(definition_unfolding,[],[f154,f12]) ).
fof(f237,plain,
x != unordered_pair(y,y),
inference(definition_unfolding,[],[f158,f12]) ).
fof(f267,plain,
( ~ subclass(unordered_pair(y,y),x)
| x = unordered_pair(y,y) ),
inference(resolution,[],[f7,f236]) ).
fof(f268,plain,
~ subclass(unordered_pair(y,y),x),
inference(forward_subsumption_resolution,[],[f267,f237]) ).
fof(f278,plain,
~ member(y,x),
inference(resolution,[],[f268,f235]) ).
fof(f755,definition,
( spl0_36
<=> member(regular(x),x) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f756,plain,
( member(regular(x),x)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
( ~ member(regular(x),x)
| spl0_36 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f781,plain,
( null_class = x
| spl0_36 ),
inference(resolution,[],[f757,f68]) ).
fof(f782,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f781,f156]) ).
fof(f783,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f786,plain,
( ! [X0] :
( ~ subclass(x,X0)
| member(regular(x),X0) )
| ~ spl0_36 ),
inference(resolution,[],[f756,f1]) ).
fof(f803,plain,
( member(regular(x),unordered_pair(y,y))
| ~ spl0_36 ),
inference(resolution,[],[f786,f236]) ).
fof(f827,plain,
( y = regular(x)
| ~ spl0_36 ),
inference(resolution,[],[f803,f223]) ).
fof(f838,plain,
( member(y,x)
| null_class = x
| ~ spl0_36 ),
inference(superposition,[],[f68,f827]) ).
fof(f839,plain,
( null_class = x
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f838,f278]) ).
fof(f842,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f839,f156]) ).
fof(f843,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f842]) ).
cnf(s36,plain,
spl0_36,
inference(sat_conversion,[],[f783]) ).
cnf(s41,plain,
~ spl0_36,
inference(sat_conversion,[],[f843]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s36,s41]) ).
fof(f844,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET096-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 00:35:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.42/0.55 % (3111667)Will run a generic schedule for satisfiability detection.
% 0.42/0.55 % (3111677)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1278893494:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.42/0.55 % (3111672)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=24011146_2999 on theBenchmark for (2999ds/0Mi)
% 0.42/0.55 % (3111674)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2872899790:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.42/0.55 % (3111675)dis+10_1_sil=32000:sp=arity:random_seed=1101077509:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.42/0.55 % (3111676)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1052835835:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.42/0.55 % (3111678)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2833541926:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.42/0.55 % (3111673)% WARNING: option uhcvi not known.
% 0.42/0.55 % (3111673)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3102149259:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.42/0.55 % (3111677)Instruction limit reached!
% 0.42/0.55 % (3111677)------------------------------
% 0.42/0.55 % (3111677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.55 % (3111677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.55 % (3111677)CaDiCaL version: 2.1.3
% 0.42/0.55 % (3111677)Termination reason: Instruction limit
% 0.42/0.55 % (3111677)Termination phase: Saturation
% 0.42/0.55 % (3111677)Time elapsed: 0.046 s
% 0.42/0.55 % (3111677)Peak memory usage: 13 MB
% 0.42/0.55 % (3111677)Instructions burned: 132 (million)
% 0.42/0.55 % (3111686)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1098155772:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.42/0.55 % (3111675)Instruction limit reached!
% 0.42/0.55 % (3111675)------------------------------
% 0.42/0.55 % (3111675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.55 % (3111675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.55 % (3111675)CaDiCaL version: 2.1.3
% 0.42/0.55 % (3111675)Termination reason: Instruction limit
% 0.42/0.55 % (3111675)Termination phase: Saturation
% 0.42/0.55 % (3111675)Time elapsed: 0.070 s
% 0.42/0.55 % (3111675)Peak memory usage: 12 MB
% 0.42/0.55 % (3111675)Instructions burned: 104 (million)
% 0.42/0.55 % (3111676)Instruction limit reached!
% 0.42/0.55 % (3111676)------------------------------
% 0.42/0.55 % (3111676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.55 % (3111676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.55 % (3111676)CaDiCaL version: 2.1.3
% 0.42/0.55 % (3111676)Termination reason: Instruction limit
% 0.42/0.55 % (3111676)Termination phase: Saturation
% 0.42/0.55 % (3111676)Time elapsed: 0.071 s
% 0.42/0.55 % (3111676)Peak memory usage: 12 MB
% 0.42/0.55 % (3111676)Instructions burned: 117 (million)
% 0.42/0.55 % (3111688)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=914829599:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.42/0.55 % (3111689)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=3060727941:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.42/0.55 % (3111689) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3111667-3111689"...
% 0.42/0.55 % (3111678)Instruction limit reached!
% 0.42/0.55 % (3111678)------------------------------
% 0.42/0.55 % (3111678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.55 % (3111678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.55 % (3111678)CaDiCaL version: 2.1.3
% 0.42/0.55 % (3111678)Termination reason: Instruction limit
% 0.42/0.55 % (3111678)Termination phase: Saturation
% 0.42/0.55 % (3111678)Time elapsed: 0.109 s
% 0.42/0.55 % (3111678)Peak memory usage: 13 MB
% 0.42/0.55 % (3111678)Instructions burned: 159 (million)
% 0.42/0.55 % (3111689)...printing done.
% 0.42/0.55 % (3111689)Refutation found. Thanks to Tanya!
% 0.42/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.42/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.55 % (3111689)------------------------------
% 0.42/0.55 % (3111689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.55 % (3111689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.55 % (3111689)CaDiCaL version: 2.1.3
% 0.42/0.55 % (3111689)Termination reason: Refutation
% 0.42/0.55 % (3111689)Time elapsed: 0.018 s
% 0.42/0.55 % (3111689)Peak memory usage: 13 MB
% 0.42/0.55 % (3111689)Instructions burned: 23 (million)
% 0.42/0.55 % (3111667)Success in time 0.147 s
% 0.42/0.55 % Vampire exiting
%------------------------------------------------------------------------------