%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET880+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 : n008.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 12:44:54 PM UTC 2026
% Result : Theorem 0.09s 1.29s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 29 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 7 |; 1 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f4,axiom,
! [X0,X1] :
( set_difference(singleton(X0),X1) = empty_set
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f7,conjecture,
! [X0,X1] :
( set_difference(singleton(X0),singleton(X1)) = empty_set
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_zfmisc_1) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( set_difference(singleton(X0),singleton(X1)) = empty_set
=> X0 = X1 ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f10,plain,
? [X0,X1] :
( X0 != X1
& set_difference(singleton(X0),singleton(X1)) = empty_set ),
inference(ennf_transformation,[],[f8]) ).
fof(f13,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f18,plain,
! [X0,X1] :
( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
empty_set = set_difference(singleton(sK3),singleton(sK4)),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f10]) ).
fof(f23,plain,
! [X2,X0] :
( X0 = X2
| ~ in(X2,singleton(X0)) ),
inference(equality_resolution,[],[f13]) ).
fof(f29,plain,
! [X2,X0] :
( in(X2,singleton(X0))
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f31,plain,
! [X0,X1] :
( empty_set != set_difference(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f35,plain,
( empty_set != empty_set
| ~ in(sK3,singleton(sK4)) ),
inference(superposition,[],[f31,f21]) ).
fof(f36,plain,
~ in(sK3,singleton(sK4)),
inference(trivial_inequality_removal,[],[f35]) ).
fof(f38,plain,
sK3 = sK4,
inference(resolution,[],[f36,f29]) ).
fof(f40,plain,
$false,
inference(forward_subsumption_resolution,[],[f38,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET880+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/1.20 % Computer : n008.cluster.edu
% 0.09/1.20 % Model : x86_64 x86_64
% 0.09/1.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/1.20 % Memory : 8046.5625MB
% 0.09/1.20 % OS : Linux 6.8.0-71-generic
% 0.09/1.20 % CPULimit : 300
% 0.09/1.20 % WCLimit : 300
% 0.09/1.20 % DateTime : Mon Sep 28 03:06:45 UTC 2026
% 0.09/1.20 % CPUTime :
% 0.09/1.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/1.24 Running first-order model finding
% 0.09/1.24 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
% 0.09/1.29 % (1827572)Will run a generic schedule for satisfiability detection.
% 0.09/1.29 % (1827577)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1876375311_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/1.29 % TRYING [1]
% 0.09/1.29 % TRYING [2]
% 0.09/1.29 % TRYING [3]
% 0.09/1.29 % TRYING [4]
% 0.09/1.29 % TRYING [5]
% 0.09/1.29 % TRYING [6]
% 0.09/1.29 % (1827578)% WARNING: option uhcvi not known.
% 0.09/1.29 % TRYING [7]
% 0.09/1.29 % (1827579)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=449576107:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/1.29 % (1827578)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2109515465:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/1.29 % (1827580)dis+10_1_sil=32000:sp=arity:random_seed=3870183029:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/1.29 % (1827581)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3769558962:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/1.29 % (1827582)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2945992621:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/1.29 % (1827583)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=975479789:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/1.29 % TRYING [8]
% 0.09/1.29 % (1827578) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1827572-1827578"...
% 0.09/1.29 % (1827580) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1827572-1827580"...
% 0.09/1.29 % (1827582) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1827572-1827582"...
% 0.09/1.29 % (1827579) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1827572-1827579"...
% 0.09/1.29 % (1827583) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1827572-1827583"...
% 0.09/1.29 % (1827581) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1827572-1827581"...
% 0.09/1.29 % (1827578)...printing done.
% 0.09/1.29 % (1827580)...printing done.
% 0.09/1.29 % (1827582)...printing done.
% 0.09/1.29 % (1827579)...printing done.
% 0.09/1.29 % (1827581)...printing done.
% 0.09/1.29 % (1827583)...printing done.
% 0.09/1.29 % (1827578)Refutation found. Thanks to Tanya!
% 0.09/1.29 % SZS status Theorem for theBenchmark
% 0.09/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/1.29 % (1827578)------------------------------
% 0.09/1.29 % (1827578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/1.29 % (1827578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/1.29 % (1827578)CaDiCaL version: 2.1.3
% 0.09/1.29 % (1827578)Termination reason: Refutation
% 0.09/1.29 % (1827578)Time elapsed: 0.002 s
% 0.09/1.29 % (1827578)Peak memory usage: 11 MB
% 0.09/1.29 % (1827578)Instructions burned: 1 (million)
% 0.09/1.29 % (1827572)Success in time 0.039 s
% 0.09/1.29 % Vampire exiting
%------------------------------------------------------------------------------