%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET073-6 : 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 : n015.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 12:42:58 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 1 def)
% Number of atoms : 44 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
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(f101,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).
fof(f102,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).
fof(f103,plain,
null_class = unordered_pair(x,y),
inference(reorient_equations,[],[f102]) ).
fof(f159,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f68,f24]) ).
fof(f160,plain,
( member(x,null_class)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f103]) ).
fof(f161,plain,
member(x,null_class),
inference(forward_subsumption_resolution,[],[f160,f101]) ).
fof(f174,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f184,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f174,f68]) ).
fof(f296,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f159,f184]) ).
fof(f305,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f340,definition,
( spl0_16
<=> null_class = complement(universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f342,plain,
( null_class = complement(universal_class)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f344,plain,
spl0_16,
inference(avatar_split_clause,[],[f305,f340]) ).
fof(f348,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_16 ),
inference(superposition,[],[f24,f342]) ).
fof(f349,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f348,f174]) ).
fof(f353,plain,
( $false
| ~ spl0_16 ),
inference(resolution,[],[f349,f161]) ).
fof(f355,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f353]) ).
cnf(s11,plain,
spl0_16,
inference(sat_conversion,[],[f344]) ).
cnf(s12,plain,
~ spl0_16,
inference(sat_conversion,[],[f355]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s11,s12]) ).
fof(f356,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET073-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:34:16 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.47 % (2161120)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2161127)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=703674697:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2161126)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2161128)dis+10_1_sil=32000:sp=arity:random_seed=3393191426:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2161125)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2771086435_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2161126)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=974638515:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2161129)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3485195506:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2161130)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1519305267:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2161131)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2214545056:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (2161129) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2161120-2161129"...
% 0.16/0.47 % (2161129)...printing done.
% 0.16/0.47 % (2161129)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2161129)------------------------------
% 0.16/0.47 % (2161129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2161129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2161129)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2161129)Termination reason: Refutation
% 0.16/0.47 % (2161129)Time elapsed: 0.010 s
% 0.16/0.47 % (2161129)Peak memory usage: 12 MB
% 0.16/0.47 % (2161129)Instructions burned: 15 (million)
% 0.16/0.47 % (2161120)Success in time 0.05 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------