%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET083-6 : 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 : 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 12:43:02 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 19 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
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,
singleton(x) = singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_1) ).
fof(f102,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_2) ).
fof(f103,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_3) ).
fof(f152,plain,
unordered_pair(x,x) = unordered_pair(y,y),
inference(definition_unfolding,[],[f101,f12,f12]) ).
fof(f273,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,x))
| y = X0
| y = X0 ),
inference(superposition,[],[f8,f152]) ).
fof(f274,plain,
! [X0] :
( ~ member(X0,unordered_pair(x,x))
| y = X0 ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f276,plain,
( x = y
| ~ member(x,universal_class) ),
inference(resolution,[],[f274,f10]) ).
fof(f298,plain,
~ member(x,universal_class),
inference(forward_subsumption_resolution,[],[f276,f103]) ).
fof(f300,plain,
$false,
inference(forward_subsumption_resolution,[],[f298,f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET083-6 : 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 : n007.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 00:32:25 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
% 0.12/0.46 % (1925393)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (1925400)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3690711227:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (1925399)% WARNING: option uhcvi not known.
% 0.12/0.46 % (1925398)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4001473530_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (1925399)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3497665102:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (1925401)dis+10_1_sil=32000:sp=arity:random_seed=1295632413:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (1925402)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3523393035:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (1925403)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1590149546:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (1925404)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3140567717:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (1925401) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925393-1925401"...
% 0.12/0.46 % (1925401)...printing done.
% 0.12/0.46 % (1925402) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925393-1925402"...
% 0.12/0.46 % (1925403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925393-1925403"...
% 0.12/0.46 % (1925399) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1925393-1925399"...
% 0.12/0.46 % (1925401)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (1925401)------------------------------
% 0.12/0.46 % (1925401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (1925401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (1925401)CaDiCaL version: 2.1.3
% 0.12/0.46 % (1925401)Termination reason: Refutation
% 0.12/0.46 % (1925401)Time elapsed: 0.006 s
% 0.12/0.46 % (1925401)Peak memory usage: 12 MB
% 0.12/0.46 % (1925401)Instructions burned: 8 (million)
% 0.12/0.46 % (1925393)Success in time 0.044 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------