%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET101-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:43:07 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 8 unt; 0 def)
% Number of atoms : 10 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f101,negated_conjecture,
~ member(singleton(x),ordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_member_of_ordered_pair_1) ).
fof(f106,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f150,plain,
~ member(unordered_pair(x,x),unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),
inference(definition_unfolding,[],[f101,f12,f106]) ).
fof(f160,plain,
! [X2,X0,X1] : member(unordered_pair(X0,X1),unordered_pair(unordered_pair(X0,X1),X2)),
inference(resolution,[],[f9,f11]) ).
fof(f614,plain,
$false,
inference(resolution,[],[f160,f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET101-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n002.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Mon Sep 28 00:44:07 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 0.15/0.50 % (4052527)Will run a generic schedule for satisfiability detection.
% 0.15/0.50 % (4052537)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3857600050:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.50 % (4052533)% WARNING: option uhcvi not known.
% 0.15/0.50 % (4052535)dis+10_1_sil=32000:sp=arity:random_seed=2645430022:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.50 % (4052536)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1873563757:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.50 % (4052532)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2796909850_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.50 % (4052533)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2543245452:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.50 % (4052534)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4167464365:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.50 % (4052538)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3979897496:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.50 % (4052535) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052527-4052535"...
% 0.15/0.50 % (4052537) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052527-4052537"...
% 0.15/0.50 % (4052533) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4052527-4052533"...
% 0.15/0.50 % (4052537)...printing done.
% 0.15/0.50 % (4052535)...printing done.
% 0.15/0.50 % (4052537)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (4052537)------------------------------
% 0.15/0.50 % (4052537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.50 % (4052537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.50 % (4052537)CaDiCaL version: 2.1.3
% 0.15/0.50 % (4052537)Termination reason: Refutation
% 0.15/0.50 % (4052537)Time elapsed: 0.010 s
% 0.15/0.50 % (4052537)Peak memory usage: 12 MB
% 0.15/0.50 % (4052537)Instructions burned: 25 (million)
% 0.15/0.50 % (4052527)Success in time 0.042 s
% 0.15/0.50 % Vampire exiting
%------------------------------------------------------------------------------