%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET094-7 : 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 : n004.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 12:43:05 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f137,axiom,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f152,negated_conjecture,
singleton(member_of(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).
fof(f153,plain,
x = singleton(member_of(x)),
inference(reorient_equations,[],[f152]) ).
fof(f154,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).
fof(f155,negated_conjecture,
member_of(x) != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).
fof(f220,plain,
! [X0,X1] :
( ~ member(X0,unordered_pair(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f137,f12]) ).
fof(f231,plain,
x = unordered_pair(member_of(x),member_of(x)),
inference(definition_unfolding,[],[f153,f12]) ).
fof(f366,plain,
! [X0] :
( ~ member(X0,x)
| member_of(x) = X0 ),
inference(superposition,[],[f220,f231]) ).
fof(f423,plain,
member_of(x) = y,
inference(resolution,[],[f366,f154]) ).
fof(f424,plain,
$false,
inference(forward_subsumption_resolution,[],[f423,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:39:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.19/0.46 % (4037528)Will run a generic schedule for satisfiability detection.
% 0.19/0.46 % (4037537)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1505175014:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.46 % (4037534)% WARNING: option uhcvi not known.
% 0.19/0.46 % (4037537) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4037528-4037537"...
% 0.19/0.46 % (4037533)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4165019944_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.46 % (4037534)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2712335084:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.46 % (4037538)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4250311350:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.46 % (4037535)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2801545417:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.46 % (4037536)dis+10_1_sil=32000:sp=arity:random_seed=176147933:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.46 % (4037537)...printing done.
% 0.19/0.46 % (4037539)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=870218765:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.46 % (4037537)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (4037537)------------------------------
% 0.19/0.46 % (4037537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.46 % (4037537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.46 % (4037537)CaDiCaL version: 2.1.3
% 0.19/0.46 % (4037537)Termination reason: Refutation
% 0.19/0.46 % (4037537)Time elapsed: 0.006 s
% 0.19/0.46 % (4037537)Peak memory usage: 12 MB
% 0.19/0.46 % (4037537)Instructions burned: 18 (million)
% 0.19/0.46 % (4037528)Success in time 0.036 s
% 0.19/0.46 % Vampire exiting
%------------------------------------------------------------------------------