%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET872+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 : n012.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 12:44:53 PM UTC 2026
% Result : Theorem 0.06s 0.34s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 37 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 10 |; 0 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 37 ( 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f4,axiom,
! [X0,X1,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,conjecture,
! [X0,X1] : subset(singleton(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_zfmisc_1) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] : subset(singleton(X0),unordered_pair(X0,X1)),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f13,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f14,plain,
? [X0,X1] : ~ subset(singleton(X0),unordered_pair(X0,X1)),
inference(ennf_transformation,[],[f10]) ).
fof(f18,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( X0 != X3
| in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f33,plain,
~ subset(singleton(sK5),unordered_pair(sK5,sK6)),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f18]) ).
fof(f37,plain,
! [X2,X3,X1] :
( in(X3,X2)
| unordered_pair(X3,X1) != X2 ),
inference(equality_resolution,[],[f26]) ).
fof(f38,plain,
! [X3,X1] : in(X3,unordered_pair(X3,X1)),
inference(equality_resolution,[],[f37]) ).
fof(f47,plain,
in(sK2(singleton(sK5),unordered_pair(sK5,sK6)),singleton(sK5)),
inference(resolution,[],[f28,f33]) ).
fof(f48,plain,
~ in(sK2(singleton(sK5),unordered_pair(sK5,sK6)),unordered_pair(sK5,sK6)),
inference(resolution,[],[f29,f33]) ).
fof(f49,plain,
sK5 = sK2(singleton(sK5),unordered_pair(sK5,sK6)),
inference(resolution,[],[f47,f34]) ).
fof(f67,plain,
~ in(sK5,unordered_pair(sK5,sK6)),
inference(superposition,[],[f48,f49]) ).
fof(f68,plain,
$false,
inference(forward_subsumption_resolution,[],[f67,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET872+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 28 03:04:33 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 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
% 0.06/0.34 % (2977699)Will run a generic schedule for satisfiability detection.
% 0.06/0.34 % (2977705)% WARNING: option uhcvi not known.
% 0.06/0.34 % (2977705)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1299542928:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.06/0.34 % (2977706)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2362382393:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.06/0.34 % (2977704)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=326752839_3000 on theBenchmark for (3000ds/0Mi)
% 0.06/0.34 % (2977707)dis+10_1_sil=32000:sp=arity:random_seed=1618385869:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.06/0.34 % (2977708)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1753896852:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.06/0.34 % (2977709)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3110279839:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.06/0.34 % (2977710)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1891618370:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.06/0.34 % TRYING [1]
% 0.06/0.34 % TRYING [2]
% 0.06/0.34 % TRYING [3]
% 0.06/0.34 % (2977708) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977699-2977708"...
% 0.06/0.34 % (2977707) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977699-2977707"...
% 0.06/0.34 % (2977710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977699-2977710"...
% 0.06/0.34 % TRYING [4]
% 0.06/0.34 % (2977709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977699-2977709"...
% 0.06/0.34 % (2977706) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977699-2977706"...
% 0.06/0.34 % (2977708)...printing done.
% 0.06/0.34 % (2977707)...printing done.
% 0.06/0.34 % (2977705) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2977699-2977705"...
% 0.06/0.34 % (2977710)...printing done.
% 0.06/0.34 % (2977708)Refutation found. Thanks to Tanya!
% 0.06/0.34 % SZS status Theorem for theBenchmark
% 0.06/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.34 % (2977708)------------------------------
% 0.06/0.34 % (2977708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.34 % (2977708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.34 % (2977708)CaDiCaL version: 2.1.3
% 0.06/0.34 % (2977708)Termination reason: Refutation
% 0.06/0.34 % (2977708)Time elapsed: 0.001 s
% 0.06/0.34 % (2977708)Peak memory usage: 12 MB
% 0.06/0.34 % (2977708)Instructions burned: 3 (million)
% 0.06/0.34 % (2977699)Success in time 0.015 s
% 0.06/0.34 % Vampire exiting
%------------------------------------------------------------------------------