%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET103-7 : 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 12:43:08 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f138,axiom,
! [X0] :
( member(X0,universal_class)
| singleton(X0) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_is_null_class) ).
fof(f166,negated_conjecture,
unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_1) ).
fof(f167,negated_conjecture,
~ member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_1_of_ordered_pair_2) ).
fof(f172,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(f234,plain,
! [X0] :
( member(X0,universal_class)
| unordered_pair(X0,X0) = null_class ),
inference(definition_unfolding,[],[f138,f12]) ).
fof(f253,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),
inference(definition_unfolding,[],[f166,f12,f172]) ).
fof(f349,plain,
null_class = unordered_pair(y,y),
inference(resolution,[],[f234,f167]) ).
fof(f350,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)) != unordered_pair(unordered_pair(x,x),unordered_pair(x,null_class)),
inference(superposition,[],[f253,f349]) ).
fof(f364,plain,
$false,
inference(trivial_inequality_removal,[],[f350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET103-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 00:46:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.45 % (4055088)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (4055093)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3828712656_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (4055094)% WARNING: option uhcvi not known.
% 0.09/0.45 % (4055097)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=876532458:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45 % (4055094)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2206261990:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45 % (4055098)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1927577367:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45 % (4055095)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=237809953:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45 % (4055096)dis+10_1_sil=32000:sp=arity:random_seed=934224883:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (4055099)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1622756590:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45 % (4055096) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4055088-4055096"...
% 0.09/0.45 % (4055094) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4055088-4055094"...
% 0.09/0.45 % (4055096)...printing done.
% 0.09/0.45 % (4055094)...printing done.
% 0.09/0.45 % (4055099) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4055088-4055099"...
% 0.09/0.45 % (4055097) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4055088-4055097"...
% 0.09/0.45 % (4055098) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4055088-4055098"...
% 0.09/0.45 % (4055099)...printing done.
% 0.09/0.45 % (4055097)...printing done.
% 0.09/0.45 % (4055098)...printing done.
% 0.09/0.45 % (4055094)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45 % (4055094)------------------------------
% 0.09/0.45 % (4055094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45 % (4055094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45 % (4055094)CaDiCaL version: 2.1.3
% 0.09/0.45 % (4055094)Termination reason: Refutation
% 0.09/0.45 % (4055094)Time elapsed: 0.007 s
% 0.09/0.45 % (4055094)Peak memory usage: 12 MB
% 0.09/0.45 % (4055094)Instructions burned: 9 (million)
% 0.09/0.45 % (4055088)Success in time 0.047 s
% 0.09/0.45 % Vampire exiting
%------------------------------------------------------------------------------