%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET924+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 12:45:00 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 20 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 4 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 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(f4,conjecture,
! [X0,X1] :
( set_difference(singleton(X0),X1) = singleton(X0)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t67_zfmisc_1) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] :
( set_difference(singleton(X0),X1) = singleton(X0)
<=> ~ in(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( set_difference(singleton(X0),X1) = singleton(X0)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l34_zfmisc_1) ).
fof(f8,plain,
? [X0,X1] :
( set_difference(singleton(X0),X1) = singleton(X0)
<~> ~ in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
( ~ in(sK2,sK3)
| singleton(sK2) = set_difference(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f13,plain,
( in(sK2,sK3)
| singleton(sK2) != set_difference(singleton(sK2),sK3) ),
inference(cnf_transformation,[],[f8]) ).
fof(f14,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f15,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
singleton(sK2) = set_difference(singleton(sK2),sK3),
inference(forward_subsumption_resolution,[],[f12,f14]) ).
fof(f17,plain,
in(sK2,sK3),
inference(forward_subsumption_resolution,[],[f13,f14]) ).
fof(f20,plain,
singleton(sK2) != set_difference(singleton(sK2),sK3),
inference(resolution,[],[f15,f17]) ).
fof(f22,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET924+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 03:08:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % (1990697)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (1990702)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4132163931_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % TRYING [5]
% 0.10/0.45 % TRYING [6]
% 0.10/0.45 % TRYING [7]
% 0.10/0.45 % TRYING [8]
% 0.10/0.45 % (1990703)% WARNING: option uhcvi not known.
% 0.10/0.45 % TRYING [9]
% 0.10/0.45 % (1990706)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1816482581:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (1990704)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3103347618:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (1990705)dis+10_1_sil=32000:sp=arity:random_seed=2862568726:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % TRYING [10]
% 0.10/0.45 % (1990707)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3979980588:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (1990708)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=27992186:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (1990703)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=62085553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (1990706) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990697-1990706"...
% 0.10/0.45 % (1990707) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990697-1990707"...
% 0.10/0.45 % (1990705) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990697-1990705"...
% 0.10/0.45 % (1990704) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990697-1990704"...
% 0.10/0.45 % TRYING [11]
% 0.10/0.45 % (1990708) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990697-1990708"...
% 0.10/0.45 % (1990706)...printing done.
% 0.10/0.45 % (1990707)...printing done.
% 0.10/0.45 % (1990703) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1990697-1990703"...
% 0.10/0.45 % (1990704)...printing done.
% 0.10/0.45 % (1990705)...printing done.
% 0.10/0.45 % (1990708)...printing done.
% 0.10/0.45 % (1990706)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (1990706)------------------------------
% 0.10/0.45 % (1990706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (1990706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (1990706)CaDiCaL version: 2.1.3
% 0.10/0.45 % (1990706)Termination reason: Refutation
% 0.10/0.45 % (1990706)Time elapsed: 0.002 s
% 0.10/0.45 % (1990706)Peak memory usage: 11 MB
% 0.10/0.45 % (1990706)Instructions burned: 1 (million)
% 0.10/0.45 % (1990697)Success in time 0.034 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------