%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU152+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:52:07 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 32 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 6 |; 3 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f32,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f42,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f67,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f91,plain,
? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f96,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f151,plain,
( sK9 != set_union2(singleton(sK8),sK9)
& in(sK8,sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f91]) ).
fof(f152,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f219,plain,
in(sK8,sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f220,plain,
sK9 != set_union2(singleton(sK8),sK9),
inference(cnf_transformation,[],[f151]) ).
fof(f222,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f234,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f96]) ).
fof(f264,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f67]) ).
fof(f290,plain,
sK9 != set_union2(unordered_pair(sK8,sK8),sK9),
inference(definition_unfolding,[],[f220,f264]) ).
fof(f291,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(unordered_pair(X0,X0),X1) ),
inference(definition_unfolding,[],[f222,f264]) ).
fof(f547,plain,
subset(unordered_pair(sK8,sK8),sK9),
inference(resolution,[],[f291,f219]) ).
fof(f550,plain,
sK9 = set_union2(unordered_pair(sK8,sK8),sK9),
inference(resolution,[],[f547,f234]) ).
fof(f552,plain,
$false,
inference(forward_subsumption_resolution,[],[f550,f290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU152+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:46:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 0.15/0.47 % (3557821)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (3557826)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1026247189_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % (3557827)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (3557827)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2675597491:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (3557829)dis+10_1_sil=32000:sp=arity:random_seed=3369939784:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (3557828)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=704599363:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (3557831)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2345432077:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (3557830)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4212407443:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (3557832)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=634718227:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % TRYING [4]
% 0.15/0.47 % (3557831) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3557821-3557831"...
% 0.15/0.47 % (3557831)...printing done.
% 0.15/0.47 % (3557831)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (3557831)------------------------------
% 0.15/0.47 % (3557831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (3557831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (3557831)CaDiCaL version: 2.1.3
% 0.15/0.47 % (3557831)Termination reason: Refutation
% 0.15/0.47 % (3557831)Time elapsed: 0.010 s
% 0.15/0.47 % (3557831)Peak memory usage: 12 MB
% 0.15/0.47 % (3557831)Instructions burned: 13 (million)
% 0.15/0.47 % (3557821)Success in time 0.047 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------