%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU143+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 : 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 12:52:04 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 11 unt; 0 def)
% Number of atoms : 26 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 6 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 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 : 22 ( 21 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f8,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f28,conjecture,
! [X0] : singleton(X0) != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(f29,negated_conjecture,
~ ! [X0] : singleton(X0) != empty_set,
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f59,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f80,plain,
? [X0] : singleton(X0) = empty_set,
inference(ennf_transformation,[],[f29]) ).
fof(f111,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f116,plain,
! [X0,X1] :
( ~ in(X1,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f8]) ).
fof(f153,plain,
empty_set = singleton(sK7),
inference(cnf_transformation,[],[f80]) ).
fof(f189,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f59]) ).
fof(f201,plain,
! [X2,X0,X1] :
( X0 != X2
| in(X2,X1)
| unordered_pair(X0,X0) != X1 ),
inference(definition_unfolding,[],[f111,f189]) ).
fof(f211,plain,
empty_set = unordered_pair(sK7,sK7),
inference(definition_unfolding,[],[f153,f189]) ).
fof(f222,plain,
! [X2,X1] :
( in(X2,X1)
| unordered_pair(X2,X2) != X1 ),
inference(equality_resolution,[],[f201]) ).
fof(f223,plain,
! [X2] : in(X2,unordered_pair(X2,X2)),
inference(equality_resolution,[],[f222]) ).
fof(f224,plain,
! [X1] : ~ in(X1,empty_set),
inference(equality_resolution,[],[f116]) ).
fof(f276,plain,
in(sK7,empty_set),
inference(superposition,[],[f223,f211]) ).
fof(f277,plain,
$false,
inference(forward_subsumption_resolution,[],[f276,f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU143+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:41:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.46 % (2005396)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (2005406)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4159165849:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (2005402)% WARNING: option uhcvi not known.
% 0.11/0.46 % (2005403)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=173443718:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (2005402)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=980533808:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (2005405)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3078307850:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (2005407)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=798454047:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (2005404)dis+10_1_sil=32000:sp=arity:random_seed=1762196456:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (2005402) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2005396-2005402"...
% 0.11/0.46 % (2005404) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2005396-2005404"...
% 0.11/0.46 % (2005403) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2005396-2005403"...
% 0.11/0.46 % (2005402)...printing done.
% 0.11/0.46 % (2005407) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2005396-2005407"...
% 0.11/0.46 % (2005405) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2005396-2005405"...
% 0.11/0.46 % (2005401)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=482711369_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (2005404)...printing done.
% 0.11/0.46 % (2005403)...printing done.
% 0.11/0.46 % (2005402)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Theorem for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (2005402)------------------------------
% 0.11/0.46 % (2005402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (2005402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (2005402)CaDiCaL version: 2.1.3
% 0.11/0.46 % (2005402)Termination reason: Refutation
% 0.11/0.46 % (2005402)Time elapsed: 0.003 s
% 0.11/0.46 % (2005402)Peak memory usage: 12 MB
% 0.11/0.46 % (2005402)Instructions burned: 3 (million)
% 0.11/0.46 % (2005396)Success in time 0.038 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------