%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET013-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:42:34 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 10 unt; 2 def)
% Number of atoms : 100 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 95 ( 41 ~; 52 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X0)
| ~ member(f1(X0,X1),X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f10,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f11,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f12,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f14,plain,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f15,plain,
! [X0,X1] :
( member(f1(X0,X1),X0)
| member(f1(X0,X1),X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f16,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f17,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f22,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(superposition,[],[f16,f10]) ).
fof(f23,plain,
! [X0] :
( member(X0,ds)
| ~ member(X0,bs) ),
inference(superposition,[],[f16,f11]) ).
fof(f25,plain,
! [X0] :
( member(X0,cs)
| ~ member(X0,bs) ),
inference(superposition,[],[f17,f10]) ).
fof(f26,plain,
! [X0] :
( member(X0,ds)
| ~ member(X0,as) ),
inference(superposition,[],[f17,f11]) ).
fof(f30,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,as)
| member(X0,bs) ),
inference(superposition,[],[f18,f10]) ).
fof(f31,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,bs)
| member(X0,as) ),
inference(superposition,[],[f18,f11]) ).
fof(f36,plain,
! [X0] :
( ~ member(f1(X0,ds),bs)
| ds = X0
| ~ member(f1(X0,ds),X0) ),
inference(resolution,[],[f14,f23]) ).
fof(f49,plain,
! [X0] :
( ~ member(f1(X0,ds),as)
| ~ member(f1(X0,ds),X0)
| ds = X0 ),
inference(resolution,[],[f26,f14]) ).
fof(f138,plain,
! [X0] :
( member(f1(X0,ds),bs)
| member(f1(X0,ds),X0)
| member(f1(X0,ds),as)
| ds = X0 ),
inference(resolution,[],[f31,f15]) ).
fof(f497,definition,
( spl0_29
<=> member(f1(cs,ds),as) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f499,plain,
( member(f1(cs,ds),as)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl0_30
<=> member(f1(cs,ds),bs) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f503,plain,
( member(f1(cs,ds),bs)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f567,plain,
( ~ member(f1(cs,ds),cs)
| cs = ds
| ~ spl0_29 ),
inference(resolution,[],[f499,f49]) ).
fof(f568,plain,
( member(f1(cs,ds),cs)
| ~ spl0_29 ),
inference(resolution,[],[f499,f22]) ).
fof(f569,plain,
( ~ member(f1(cs,ds),cs)
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f567,f12]) ).
fof(f578,plain,
( member(f1(cs,ds),bs)
| member(f1(cs,ds),as)
| cs = ds
| member(f1(cs,ds),as)
| member(f1(cs,ds),bs) ),
inference(resolution,[],[f138,f30]) ).
fof(f582,plain,
( member(f1(cs,ds),bs)
| member(f1(cs,ds),as)
| cs = ds ),
inference(duplicate_literal_removal,[],[f578]) ).
fof(f596,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f569,f568]) ).
fof(f597,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f598,plain,
( member(f1(cs,ds),bs)
| member(f1(cs,ds),as) ),
inference(forward_subsumption_resolution,[],[f582,f12]) ).
fof(f599,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f598,f501,f497]) ).
fof(f602,plain,
( cs = ds
| ~ member(f1(cs,ds),cs)
| ~ spl0_30 ),
inference(resolution,[],[f503,f36]) ).
fof(f603,plain,
( ~ member(f1(cs,ds),cs)
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f602,f12]) ).
fof(f657,plain,
( ~ member(f1(cs,ds),bs)
| ~ spl0_30 ),
inference(resolution,[],[f603,f25]) ).
fof(f659,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f657,f503]) ).
fof(f660,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f659]) ).
cnf(s37,plain,
~ spl0_29,
inference(sat_conversion,[],[f597]) ).
cnf(s38,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f599]) ).
cnf(s41,plain,
~ spl0_30,
inference(sat_conversion,[],[f660]) ).
cnf(s42,plain,
spl0_29,
inference(rat,[],[s38,s41]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s37,s42]) ).
fof(f661,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET013-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 00:09:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.45 % (3137048)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3137054)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3137054)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2345202396:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (3137055)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2683322805:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (3137053)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2750656712_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (3137056)dis+10_1_sil=32000:sp=arity:random_seed=4239987585:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3137057)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3496069341:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (3137058)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2330300455:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (3137059)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1719984226:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % (3137054) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3137048-3137054"...
% 0.11/0.45 % (3137054)...printing done.
% 0.11/0.45 % (3137054)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3137054)------------------------------
% 0.11/0.45 % (3137054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3137054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3137054)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3137054)Termination reason: Refutation
% 0.11/0.45 % (3137054)Time elapsed: 0.011 s
% 0.11/0.45 % (3137054)Peak memory usage: 13 MB
% 0.11/0.45 % (3137054)Instructions burned: 26 (million)
% 0.11/0.45 % (3137048)Success in time 0.041 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------