%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET024-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 11 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X0,X1] :
( member(X0,non_ordered_pair(X1,X2))
| ~ little_set(X0)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair2) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).
fof(f171,axiom,
little_set(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_little_set) ).
fof(f172,negated_conjecture,
~ member(a,singleton_set(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).
fof(f205,plain,
~ member(a,non_ordered_pair(a,a)),
inference(definition_unfolding,[],[f172,f9]) ).
fof(f206,plain,
! [X2,X1] :
( member(X1,non_ordered_pair(X1,X2))
| ~ little_set(X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f278,plain,
~ little_set(a),
inference(resolution,[],[f206,f205]) ).
fof(f280,plain,
$false,
inference(forward_subsumption_resolution,[],[f278,f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET024-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n026.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:14:57 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.48 % (3358242)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3358248)% WARNING: option uhcvi not known.
% 0.16/0.48 % (3358247)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1620785115_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (3358248)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3887131965:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (3358249)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1715449910:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (3358252)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4090219764:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (3358250)dis+10_1_sil=32000:sp=arity:random_seed=2837177413:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (3358251)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=244302131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (3358253)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3249460230:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (3358248) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3358242-3358248"...
% 0.16/0.48 % (3358250) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3358242-3358250"...
% 0.16/0.48 % (3358248)...printing done.
% 0.16/0.48 % (3358250)...printing done.
% 0.16/0.48 % (3358248)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3358248)------------------------------
% 0.16/0.48 % (3358248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3358248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3358248)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3358248)Termination reason: Refutation
% 0.16/0.48 % (3358248)Time elapsed: 0.004 s
% 0.16/0.48 % (3358248)Peak memory usage: 12 MB
% 0.16/0.48 % (3358248)Instructions burned: 5 (million)
% 0.16/0.48 % (3358242)Success in time 0.046 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------