%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET885+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 : n003.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 12:44:55 PM UTC 2026
% Result : Theorem 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 43 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 12 |; 1 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 40 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,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,X2] :
( X2 = unordered_pair(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( X3 = X0
| X3 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,conjecture,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_zfmisc_1) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> X0 = X2 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( subset(X0,X1)
=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f15,plain,
? [X0,X1,X2] :
( X0 != X2
& subset(unordered_pair(X0,X1),singleton(X2)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f19,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( X0 != X3
| in(X3,X2)
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
subset(unordered_pair(sK4,sK5),singleton(sK6)),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
sK4 != sK6,
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f19]) ).
fof(f37,plain,
! [X2,X3,X1] :
( in(X3,X2)
| unordered_pair(X3,X1) != X2 ),
inference(equality_resolution,[],[f27]) ).
fof(f38,plain,
! [X3,X1] : in(X3,unordered_pair(X3,X1)),
inference(equality_resolution,[],[f37]) ).
fof(f52,plain,
! [X0] :
( ~ in(X0,unordered_pair(sK4,sK5))
| in(X0,singleton(sK6)) ),
inference(resolution,[],[f28,f32]) ).
fof(f58,plain,
in(sK4,singleton(sK6)),
inference(resolution,[],[f52,f38]) ).
fof(f64,plain,
sK4 = sK6,
inference(resolution,[],[f58,f34]) ).
fof(f66,plain,
$false,
inference(forward_subsumption_resolution,[],[f64,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET885+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n003.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 03:08:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.46 % (1145264)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (1145275)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=560822639_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % TRYING [4]
% 0.11/0.46 % (1145276)% WARNING: option uhcvi not known.
% 0.11/0.46 % TRYING [5]
% 0.11/0.46 % (1145276)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1429195005:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (1145278)dis+10_1_sil=32000:sp=arity:random_seed=4130432657:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % TRYING [6]
% 0.11/0.46 % (1145277)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1292780311:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (1145279)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3289387242:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % (1145278) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1145264-1145278"...
% 0.11/0.46 % (1145276) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1145264-1145276"...
% 0.11/0.46 % (1145278)...printing done.
% 0.11/0.46 % (1145276)...printing done.
% 0.11/0.46 % (1145277) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1145264-1145277"...
% 0.11/0.46 % (1145279) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1145264-1145279"...
% 0.11/0.46 % (1145280)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=212545735:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (1145276)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 % (1145276)------------------------------
% 0.11/0.46 % (1145276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (1145276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (1145276)CaDiCaL version: 2.1.3
% 0.11/0.46 % (1145276)Termination reason: Refutation
% 0.11/0.46 % (1145276)Time elapsed: 0.003 s
% 0.11/0.46 % (1145276)Peak memory usage: 12 MB
% 0.11/0.46 % (1145276)Instructions burned: 2 (million)
% 0.11/0.46 % (1145264)Success in time 0.044 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------