%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET016-6 : 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 : 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 12:42:37 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.55s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 15 unt; 2 def)
% Number of atoms : 62 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 25 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(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,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_1) ).
fof(f102,negated_conjecture,
member(w,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_2) ).
fof(f103,negated_conjecture,
w != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_3) ).
fof(f108,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(f152,plain,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(definition_unfolding,[],[f101,f108,f108]) ).
fof(f162,plain,
( member(unordered_pair(y,y),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))))
| ~ member(unordered_pair(y,y),universal_class) ),
inference(superposition,[],[f9,f152]) ).
fof(f163,plain,
member(unordered_pair(y,y),unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x)))),
inference(forward_subsumption_resolution,[],[f162,f11]) ).
fof(f276,plain,
( unordered_pair(w,w) = unordered_pair(y,y)
| unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,y) ),
inference(resolution,[],[f8,f163]) ).
fof(f292,definition,
( spl0_17
<=> unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,y) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f294,plain,
( unordered_pair(w,unordered_pair(x,x)) = unordered_pair(y,y)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl0_18
<=> unordered_pair(w,w) = unordered_pair(y,y) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f298,plain,
( unordered_pair(w,w) = unordered_pair(y,y)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f276,f296,f292]) ).
fof(f307,plain,
( member(w,unordered_pair(y,y))
| ~ member(w,universal_class)
| ~ spl0_17 ),
inference(superposition,[],[f9,f294]) ).
fof(f309,plain,
( member(w,unordered_pair(y,y))
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f307,f102]) ).
fof(f317,plain,
( w = y
| w = y
| ~ spl0_17 ),
inference(resolution,[],[f309,f8]) ).
fof(f319,plain,
( w = y
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f320,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f319,f103]) ).
fof(f321,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f334,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(w,w))
| y = X0
| y = X0 )
| ~ spl0_18 ),
inference(superposition,[],[f8,f298]) ).
fof(f338,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(w,w))
| y = X0 )
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f334]) ).
fof(f351,plain,
( w = y
| ~ member(w,universal_class)
| ~ spl0_18 ),
inference(resolution,[],[f338,f9]) ).
fof(f375,plain,
( ~ member(w,universal_class)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f351,f103]) ).
fof(f378,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f375,f102]) ).
fof(f379,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f378]) ).
cnf(s10,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f299]) ).
cnf(s11,plain,
~ spl0_17,
inference(sat_conversion,[],[f321]) ).
cnf(s17,plain,
~ spl0_18,
inference(sat_conversion,[],[f379]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s10,s17,s11]) ).
fof(f380,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET016-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 28 00:08:18 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.48 Running first-order model finding
% 0.24/0.48 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
% 0.24/0.55 % (3541096)Will run a generic schedule for satisfiability detection.
% 0.24/0.55 % (3541106)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2789177690:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.55 % (3541101)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2787408706_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.55 % (3541102)% WARNING: option uhcvi not known.
% 0.24/0.55 % (3541104)dis+10_1_sil=32000:sp=arity:random_seed=2099600535:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.55 % (3541103)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1050963765:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.55 % (3541105)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=300417429:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.55 % (3541107)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2512359231:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.55 % (3541102)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3417142923:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.55 % (3541104) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3541096-3541104"...
% 0.24/0.55 % (3541104)...printing done.
% 0.24/0.55 % (3541104)Refutation found. Thanks to Tanya!
% 0.24/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.55 % (3541104)------------------------------
% 0.24/0.55 % (3541104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.55 % (3541104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.55 % (3541104)CaDiCaL version: 2.1.3
% 0.24/0.55 % (3541104)Termination reason: Refutation
% 0.24/0.55 % (3541104)Time elapsed: 0.013 s
% 0.24/0.55 % (3541104)Peak memory usage: 12 MB
% 0.24/0.55 % (3541104)Instructions burned: 11 (million)
% 0.24/0.55 % (3541096)Success in time 0.053 s
% 0.24/0.55 % Vampire exiting
%------------------------------------------------------------------------------