%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET024-6 : 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 : n012.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 12:42:41 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.38s
% Output : Refutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 4 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f101,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_1) ).
fof(f102,negated_conjecture,
~ member(x,singleton(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_in_its_singleton_2) ).
fof(f151,plain,
~ member(x,unordered_pair(x,x)),
inference(definition_unfolding,[],[f102,f12]) ).
fof(f160,plain,
~ member(x,universal_class),
inference(resolution,[],[f9,f151]) ).
fof(f161,plain,
$false,
inference(forward_subsumption_resolution,[],[f160,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET024-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.33 % Computer : n012.cluster.edu
% 0.04/0.33 % Model : x86_64 x86_64
% 0.04/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33 % Memory : 8046.5625MB
% 0.04/0.33 % OS : Linux 6.8.0-71-generic
% 0.04/0.33 % CPULimit : 300
% 0.04/0.33 % WCLimit : 300
% 0.04/0.33 % DateTime : Mon Sep 28 00:11:05 UTC 2026
% 0.04/0.33 % CPUTime :
% 0.04/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.35 Running first-order model finding
% 0.04/0.35 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
% 0.04/0.38 % (2895779)Will run a generic schedule for satisfiability detection.
% 0.04/0.38 % (2895785)% WARNING: option uhcvi not known.
% 0.04/0.38 % (2895784)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=531153279_2999 on theBenchmark for (2999ds/0Mi)
% 0.04/0.38 % (2895787)dis+10_1_sil=32000:sp=arity:random_seed=166735357:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.04/0.38 % (2895786)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1449923545:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.04/0.38 % (2895785)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3138023440:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.04/0.38 % (2895788)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1838931589:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.04/0.38 % (2895789)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3632503532:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.04/0.38 % (2895790)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=605724197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.04/0.38 % (2895787) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2895779-2895787"...
% 0.04/0.38 % (2895785) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2895779-2895785"...
% 0.04/0.38 % (2895789) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2895779-2895789"...
% 0.04/0.38 % (2895787)...printing done.
% 0.04/0.38 % (2895785)...printing done.
% 0.04/0.38 % (2895790) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2895779-2895790"...
% 0.04/0.38 % (2895788) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2895779-2895788"...
% 0.04/0.38 % (2895787)Refutation found. Thanks to Tanya!
% 0.04/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.04/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.04/0.38 % (2895787)------------------------------
% 0.04/0.38 % (2895787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.38 % (2895787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.38 % (2895787)CaDiCaL version: 2.1.3
% 0.04/0.38 % (2895787)Termination reason: Refutation
% 0.04/0.38 % (2895787)Time elapsed: 0.002 s
% 0.04/0.38 % (2895787)Peak memory usage: 11 MB
% 0.04/0.38 % (2895787)Instructions burned: 4 (million)
% 0.04/0.38 % (2895779)Success in time 0.027 s
% 0.04/0.38 % Vampire exiting
%------------------------------------------------------------------------------