%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET067-7 : 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 : n007.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 12:42:56 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 28 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 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(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f121,negated_conjecture,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
fof(f174,plain,
~ subclass(unordered_pair(x,x),unordered_pair(x,y)),
inference(definition_unfolding,[],[f121,f12]) ).
fof(f189,plain,
member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),unordered_pair(x,x)),
inference(resolution,[],[f2,f174]) ).
fof(f191,plain,
~ member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[],[f3,f174]) ).
fof(f206,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f219,plain,
member(not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),universal_class),
inference(resolution,[],[f206,f189]) ).
fof(f289,plain,
( x = not_subclass_element(unordered_pair(x,x),unordered_pair(x,y))
| x = not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)) ),
inference(resolution,[],[f8,f189]) ).
fof(f296,plain,
x = not_subclass_element(unordered_pair(x,x),unordered_pair(x,y)),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f392,plain,
member(x,universal_class),
inference(superposition,[],[f219,f296]) ).
fof(f393,plain,
~ member(x,unordered_pair(x,y)),
inference(superposition,[],[f191,f296]) ).
fof(f404,plain,
~ member(x,universal_class),
inference(resolution,[],[f393,f9]) ).
fof(f405,plain,
$false,
inference(forward_subsumption_resolution,[],[f404,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET067-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n007.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 00:26:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.17/0.47 % (1922502)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1922509)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=297725428:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1922508)% WARNING: option uhcvi not known.
% 0.17/0.47 % (1922507)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1999846123_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (1922508)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=442497187:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1922510)dis+10_1_sil=32000:sp=arity:random_seed=2122205453:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1922511)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1395244886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1922512)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1372168608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1922513)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2439634788:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (1922511) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1922502-1922511"...
% 0.17/0.47 % (1922511)...printing done.
% 0.17/0.47 % (1922511)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1922511)------------------------------
% 0.17/0.47 % (1922511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1922511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1922511)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1922511)Termination reason: Refutation
% 0.17/0.47 % (1922511)Time elapsed: 0.013 s
% 0.17/0.47 % (1922511)Peak memory usage: 12 MB
% 0.17/0.47 % (1922511)Instructions burned: 20 (million)
% 0.17/0.47 % (1922502)Success in time 0.05 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------