%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET910+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:44:58 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 3 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,conjecture,
! [X0,X1] :
( set_intersection2(X0,singleton(X1)) = singleton(X1)
=> in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_zfmisc_1) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( set_intersection2(X0,singleton(X1)) = singleton(X1)
=> in(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,axiom,
! [X0,X1] :
( set_intersection2(X0,singleton(X1)) = singleton(X1)
=> in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l30_zfmisc_1) ).
fof(f11,plain,
? [X0,X1] :
( ~ in(X1,X0)
& set_intersection2(X0,singleton(X1)) = singleton(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0,X1] :
( in(X1,X0)
| singleton(X1) != set_intersection2(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,plain,
( ~ in(sK3,sK2)
& singleton(sK3) = set_intersection2(sK2,singleton(sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f11]) ).
fof(f21,plain,
singleton(sK3) = set_intersection2(sK2,singleton(sK3)),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
~ in(sK3,sK2),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( singleton(X1) != set_intersection2(X0,singleton(X1))
| in(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
( singleton(sK3) != singleton(sK3)
| in(sK3,sK2) ),
inference(superposition,[],[f23,f21]) ).
fof(f29,plain,
in(sK3,sK2),
inference(trivial_inequality_removal,[],[f24]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[],[f29,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET910+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 03:09:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (2626901)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (2626906)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3079424013_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % TRYING [3]
% 0.12/0.46 % TRYING [4]
% 0.12/0.46 % TRYING [5]
% 0.12/0.46 % TRYING [6]
% 0.12/0.46 % (2626907)% WARNING: option uhcvi not known.
% 0.12/0.46 % TRYING [7]
% 0.12/0.46 % (2626908)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3637286699:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (2626907)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=809965069:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (2626909)dis+10_1_sil=32000:sp=arity:random_seed=748087112:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (2626910)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3673250703:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (2626912)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=817321497:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (2626911)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3214405740:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % TRYING [8]
% 0.12/0.46 % (2626907) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2626901-2626907"...
% 0.12/0.46 % (2626909) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2626901-2626909"...
% 0.12/0.46 % (2626908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2626901-2626908"...
% 0.12/0.46 % (2626910) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2626901-2626910"...
% 0.12/0.46 % (2626912) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2626901-2626912"...
% 0.12/0.46 % (2626911) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2626901-2626911"...
% 0.12/0.46 % (2626907)...printing done.
% 0.12/0.46 % (2626909)...printing done.
% 0.12/0.46 % (2626910)...printing done.
% 0.12/0.46 % (2626908)...printing done.
% 0.12/0.46 % (2626912)...printing done.
% 0.12/0.46 % (2626911)...printing done.
% 0.12/0.46 % (2626909)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2626909)------------------------------
% 0.12/0.46 % (2626909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2626909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2626909)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2626909)Termination reason: Refutation
% 0.12/0.46 % (2626909)Time elapsed: 0.001 s
% 0.12/0.46 % (2626909)Peak memory usage: 11 MB
% 0.12/0.46 % (2626909)Instructions burned: 1 (million)
% 0.12/0.46 % (2626901)Success in time 0.034 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------