TSTP Solution File: SET926+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:19:43 EDT 2024
% Result : Theorem 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 32 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 18 ~; 8 |; 6 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(unit_resulting_resolution,[],[f29,f20,f26]) ).
fof(f26,plain,
! [X0,X1] :
( in(X0,X1)
| singleton(X0) = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( singleton(X0) = set_difference(singleton(X0),X1)
| in(X0,X1) )
& ( ~ in(X0,X1)
| singleton(X0) != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
<=> ~ in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).
fof(f20,plain,
singleton(sK0) != set_difference(singleton(sK0),sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( singleton(sK0) != set_difference(singleton(sK0),sK1)
& empty_set != set_difference(singleton(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11]) ).
fof(f11,plain,
( ? [X0,X1] :
( singleton(X0) != set_difference(singleton(X0),X1)
& empty_set != set_difference(singleton(X0),X1) )
=> ( singleton(sK0) != set_difference(singleton(sK0),sK1)
& empty_set != set_difference(singleton(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1] :
( singleton(X0) != set_difference(singleton(X0),X1)
& empty_set != set_difference(singleton(X0),X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( singleton(X0) = set_difference(singleton(X0),X1)
| empty_set = set_difference(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_zfmisc_1) ).
fof(f29,plain,
~ in(sK0,sK1),
inference(unit_resulting_resolution,[],[f19,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in(X0,X1)
| empty_set = set_difference(singleton(X0),X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( empty_set = set_difference(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| empty_set != set_difference(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( empty_set = set_difference(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(f19,plain,
empty_set != set_difference(singleton(sK0),sK1),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET926+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:36:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12697)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12700)WARNING: value z3 for option sas not known
% 0.20/0.37 % (12699)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (12698)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (12700)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (12701)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (12703)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (12704)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (12702)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 % (12704)First to succeed.
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (12703)Also succeeded, but the first one will report.
% 0.20/0.37 % (12704)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12697"
% 0.20/0.37 % (12702)Also succeeded, but the first one will report.
% 0.20/0.37 % (12700)Also succeeded, but the first one will report.
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 % (12704)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (12704)------------------------------
% 0.20/0.37 % (12704)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (12704)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (12704)Memory used [KB]: 752
% 0.20/0.37 % (12704)Time elapsed: 0.003 s
% 0.20/0.37 % (12704)Instructions burned: 3 (million)
% 0.20/0.37 % (12697)Success in time 0.008 s
%------------------------------------------------------------------------------