%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET074-7 : 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 : n019.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 12:42:58 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
fof(f113,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f120,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f128,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_1) ).
fof(f129,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_2) ).
fof(f130,plain,
null_class = unordered_pair(x,y),
inference(reorient_equations,[],[f129]) ).
fof(f202,plain,
null_class = unordered_pair(y,x),
inference(superposition,[],[f120,f130]) ).
fof(f226,plain,
( member(y,null_class)
| ~ member(y,universal_class) ),
inference(superposition,[],[f9,f202]) ).
fof(f227,plain,
~ member(y,universal_class),
inference(forward_subsumption_resolution,[],[f226,f113]) ).
fof(f229,plain,
$false,
inference(forward_subsumption_resolution,[],[f227,f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET074-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 00:31:48 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.18/0.47 % (3551768)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3551773)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3377091047_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (3551774)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3551774)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=107072266:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3551775)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2411803420:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (3551776)dis+10_1_sil=32000:sp=arity:random_seed=61435799:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (3551777)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3935400894:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (3551779)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3339762067:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (3551778)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1726266027:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3551776) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3551768-3551776"...
% 0.18/0.47 % (3551774) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3551768-3551774"...
% 0.18/0.47 % (3551776)...printing done.
% 0.18/0.47 % (3551774)...printing done.
% 0.18/0.47 % (3551779) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3551768-3551779"...
% 0.18/0.47 % (3551778) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3551768-3551778"...
% 0.18/0.47 % (3551776)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3551776)------------------------------
% 0.18/0.47 % (3551776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3551776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3551776)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3551776)Termination reason: Refutation
% 0.18/0.47 % (3551776)Time elapsed: 0.005 s
% 0.18/0.47 % (3551776)Peak memory usage: 11 MB
% 0.18/0.47 % (3551776)Instructions burned: 6 (million)
% 0.18/0.47 % (3551768)Success in time 0.043 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------