%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU294+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 : 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 12:52:45 PM UTC 2026
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 34 ( 14 ~; 9 |; 6 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(f249,conjecture,
! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f250,negated_conjecture,
~ ! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
inference(negated_conjecture,[status(cth)],[f249]) ).
fof(f324,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f436,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f636,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(ennf_transformation,[],[f250]) ).
fof(f637,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,X1)
& finite(X1) ),
inference(flattening,[],[f636]) ).
fof(f829,plain,
! [X0,X1] :
( ~ finite(X0)
| ~ element(X1,powerset(X0))
| finite(X1) ),
inference(cnf_transformation,[],[f436]) ).
fof(f1710,plain,
finite(sK244),
inference(cnf_transformation,[],[f637]) ).
fof(f1711,plain,
subset(sK243,sK244),
inference(cnf_transformation,[],[f637]) ).
fof(f1712,plain,
~ finite(sK243),
inference(cnf_transformation,[],[f637]) ).
fof(f1830,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f324]) ).
fof(f2473,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ element(X1,powerset(X0))
| finite(X0) ),
inference(consistent_polarity_flipping,[],[f829]) ).
fof(f3255,plain,
finite(sK243),
inference(consistent_polarity_flipping,[],[f1712]) ).
fof(f3256,plain,
~ finite(sK244),
inference(consistent_polarity_flipping,[],[f1710]) ).
fof(f4241,plain,
! [X0] :
( ~ element(sK243,powerset(X0))
| finite(X0) ),
inference(resolution,[],[f2473,f3255]) ).
fof(f4246,plain,
! [X0] :
( ~ subset(sK243,X0)
| finite(X0) ),
inference(resolution,[],[f4241,f1830]) ).
fof(f4265,plain,
finite(sK244),
inference(resolution,[],[f4246,f1711]) ).
fof(f4270,plain,
$false,
inference(forward_subsumption_resolution,[],[f4265,f3256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:34:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.19/0.52 % (1188463)Will run a generic schedule for satisfiability detection.
% 0.19/0.52 % (1188468)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2842807371_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.52 % (1188469)% WARNING: option uhcvi not known.
% 0.19/0.52 % (1188472)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=883242990:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.52 % (1188469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3970699843:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.52 % (1188470)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1728535570:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.52 % (1188471)dis+10_1_sil=32000:sp=arity:random_seed=981455754:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.52 % (1188473)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3426002774:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.52 % (1188474)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=315223825:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.52 % (1188469) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1188463-1188469"...
% 0.19/0.52 % (1188469)...printing done.
% 0.19/0.52 % TRYING [1]
% 0.19/0.52 % (1188469)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (1188469)------------------------------
% 0.19/0.52 % (1188469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.52 % (1188469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.52 % (1188469)CaDiCaL version: 2.1.3
% 0.19/0.52 % (1188469)Termination reason: Refutation
% 0.19/0.52 % (1188469)Time elapsed: 0.052 s
% 0.19/0.52 % (1188469)Peak memory usage: 14 MB
% 0.19/0.52 % (1188469)Instructions burned: 87 (million)
% 0.19/0.52 % (1188463)Success in time 0.101 s
% 0.19/0.53 % Vampire exiting
%------------------------------------------------------------------------------