%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET077+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:42:59 PM UTC 2026
% Result : Theorem 0.13s 0.47s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 11 ( 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(f44,conjecture,
! [X0] : member(singleton(X0),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).
fof(f45,negated_conjecture,
~ ! [X0] : member(singleton(X0),universal_class),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f60,plain,
? [X0] : ~ member(singleton(X0),universal_class),
inference(ennf_transformation,[],[f45]) ).
fof(f72,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f73,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f148,plain,
~ member(singleton(sK6),universal_class),
inference(cnf_transformation,[],[f60]) ).
fof(f186,plain,
~ member(unordered_pair(sK6,sK6),universal_class),
inference(definition_unfolding,[],[f148,f73]) ).
fof(f200,plain,
! [X0,X1] : ~ member(unordered_pair(X0,X1),universal_class),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f259,plain,
member(unordered_pair(sK6,sK6),universal_class),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f260,plain,
$false,
inference(backward_subsumption_resolution,[],[f259,f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET077+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n019.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 00:33:04 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.47 % (3553872)Will run a generic schedule for satisfiability detection.
% 0.13/0.47 % (3553877)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3753909901_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.47 % (3553878)% WARNING: option uhcvi not known.
% 0.13/0.47 % (3553879)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1954482066:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.47 % (3553878)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2809723674:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.47 % (3553880)dis+10_1_sil=32000:sp=arity:random_seed=4244190267:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.47 % (3553881)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=389443414:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.47 % (3553882)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1077887220:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.47 % (3553883)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1960134323:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.47 % (3553880) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553872-3553880"...
% 0.13/0.47 % (3553878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553872-3553878"...
% 0.13/0.47 % (3553879) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553872-3553879"...
% 0.13/0.47 % (3553880)...printing done.
% 0.13/0.47 % (3553878)...printing done.
% 0.13/0.47 % (3553881) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553872-3553881"...
% 0.13/0.47 % (3553882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553872-3553882"...
% 0.13/0.47 % (3553883) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553872-3553883"...
% 0.13/0.47 % (3553879)...printing done.
% 0.13/0.47 % (3553878)Refutation found. Thanks to Tanya!
% 0.13/0.47 % SZS status Theorem for theBenchmark
% 0.13/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.47 % (3553878)------------------------------
% 0.13/0.47 % (3553878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.47 % (3553878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.47 % (3553878)CaDiCaL version: 2.1.3
% 0.13/0.47 % (3553878)Termination reason: Refutation
% 0.13/0.47 % (3553878)Time elapsed: 0.004 s
% 0.13/0.47 % (3553878)Peak memory usage: 12 MB
% 0.13/0.47 % (3553878)Instructions burned: 4 (million)
% 0.13/0.47 % (3553872)Success in time 0.038 s
% 0.13/0.47 % Vampire exiting
%------------------------------------------------------------------------------