%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU161+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:52:10 PM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 21 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 3 |; 1 &)
% ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).
fof(f76,conjecture,
! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).
fof(f77,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> set_union2(singleton(X0),X1) = X1 ),
inference(negated_conjecture,[status(cth)],[f76]) ).
fof(f83,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f107,plain,
! [X0,X1] :
( set_union2(singleton(X0),X1) = X1
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f128,plain,
? [X0,X1] :
( set_union2(singleton(X0),X1) != X1
& in(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f212,plain,
! [X0,X1] :
( ~ in(X0,X1)
| set_union2(singleton(X0),X1) = X1 ),
inference(cnf_transformation,[],[f107]) ).
fof(f266,plain,
in(sK20,sK21),
inference(cnf_transformation,[],[f128]) ).
fof(f267,plain,
sK21 != set_union2(singleton(sK20),sK21),
inference(cnf_transformation,[],[f128]) ).
fof(f274,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f306,plain,
! [X0,X1] :
( ~ in(X0,X1)
| set_union2(unordered_pair(X0,X0),X1) = X1 ),
inference(definition_unfolding,[],[f212,f274]) ).
fof(f331,plain,
sK21 != set_union2(unordered_pair(sK20,sK20),sK21),
inference(definition_unfolding,[],[f267,f274]) ).
fof(f1044,plain,
sK21 = set_union2(unordered_pair(sK20,sK20),sK21),
inference(resolution,[],[f306,f266]) ).
fof(f1045,plain,
$false,
inference(forward_subsumption_resolution,[],[f1044,f331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU161+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n020.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 03:50:05 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
% 0.12/0.42 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
% 0.18/0.46 % (4007677)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (4007686)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1801266252:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (4007683)% WARNING: option uhcvi not known.
% 0.18/0.46 % (4007682)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3799020968_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.46 % (4007683)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=774252041:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46 % (4007684)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=818410693:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46 % (4007685)dis+10_1_sil=32000:sp=arity:random_seed=3615310849:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (4007688)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2062401440:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (4007687)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4051530895:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.46 % (4007686) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4007677-4007686"...
% 0.18/0.46 % (4007686)...printing done.
% 0.18/0.46 % (4007686)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (4007686)------------------------------
% 0.18/0.46 % (4007686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (4007686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (4007686)CaDiCaL version: 2.1.3
% 0.18/0.46 % (4007686)Termination reason: Refutation
% 0.18/0.46 % (4007686)Time elapsed: 0.013 s
% 0.18/0.46 % (4007686)Peak memory usage: 12 MB
% 0.18/0.46 % (4007686)Instructions burned: 33 (million)
% 0.18/0.46 % (4007677)Success in time 0.037 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------