TSTP Solution File: SEU424+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.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 : Wed Aug 31 18:30:13 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 77 ( 29 ~; 12 |; 22 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 52 ( 36 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(subsumption_resolution,[],[f106,f89]) ).
fof(f89,plain,
~ m1_subset_1(a_4_0_relset_2(sK3,sK5,sK4,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ~ m1_subset_1(a_4_0_relset_2(sK3,sK5,sK4,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m2_relset_1(sK6,sK3,sK5)
& m1_subset_1(sK4,k1_zfmisc_1(sK3))
& ~ v1_xboole_0(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f52,f70,f69,f68]) ).
fof(f68,plain,
( ? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,X0,X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK3,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,sK3,X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK3)) )
& ~ v1_xboole_0(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X2,X1] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK3,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,sK3,X2) )
& m1_subset_1(X1,k1_zfmisc_1(sK3)) )
=> ( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK3,sK5,sK4,X3),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m2_relset_1(X3,sK3,sK5) )
& m1_subset_1(sK4,k1_zfmisc_1(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(sK3,sK5,sK4,X3),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m2_relset_1(X3,sK3,sK5) )
=> ( ~ m1_subset_1(a_4_0_relset_2(sK3,sK5,sK4,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m2_relset_1(sK6,sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0] :
( ? [X1,X2] :
( ? [X3] :
( ~ m1_subset_1(a_4_0_relset_2(X0,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,X0,X2) )
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X2,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X2)
=> m1_subset_1(a_4_0_relset_2(X0,X2,X1,X3),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_relset_2) ).
fof(f106,plain,
m1_subset_1(a_4_0_relset_2(sK3,sK5,sK4,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(unit_resulting_resolution,[],[f86,f87,f88,f79]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(a_4_0_relset_2(X3,X1,X2,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X0,X3,X1)
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(a_4_0_relset_2(X3,X1,X2,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))
| v1_xboole_0(X3)
| ~ m2_relset_1(X0,X3,X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1,X3] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| m1_subset_1(a_4_0_relset_2(X3,X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| v1_xboole_0(X3)
| ~ m2_relset_1(X2,X3,X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X3,X0] :
( m1_subset_1(a_4_0_relset_2(X3,X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m2_relset_1(X2,X3,X0)
| v1_xboole_0(X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X2,X1,X3,X0] :
( ( m2_relset_1(X2,X3,X0)
& ~ v1_xboole_0(X3)
& m1_subset_1(X1,k1_zfmisc_1(X3)) )
=> m1_subset_1(a_4_0_relset_2(X3,X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X2,X3,X0] :
( ( m2_relset_1(X3,X0,X1)
& m1_subset_1(X2,k1_zfmisc_1(X0))
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f88,plain,
m2_relset_1(sK6,sK3,sK5),
inference(cnf_transformation,[],[f71]) ).
fof(f87,plain,
m1_subset_1(sK4,k1_zfmisc_1(sK3)),
inference(cnf_transformation,[],[f71]) ).
fof(f86,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 15:32:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (31323)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (31323)First to succeed.
% 0.19/0.48 % (31323)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (31323)------------------------------
% 0.19/0.48 % (31323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (31323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (31323)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (31323)Memory used [KB]: 6012
% 0.19/0.48 % (31323)Time elapsed: 0.071 s
% 0.19/0.48 % (31323)Instructions burned: 4 (million)
% 0.19/0.48 % (31323)------------------------------
% 0.19/0.48 % (31323)------------------------------
% 0.19/0.48 % (31316)Success in time 0.129 s
%------------------------------------------------------------------------------