TSTP Solution File: SEU429+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU429+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_sat --cores 0 -t %d %s
% Computer : n013.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 18:33:52 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 78 ( 30 ~; 15 |; 22 &)
% ( 0 <=>; 11 =>; 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 : 50 ( 34 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f239,plain,
$false,
inference(subsumption_resolution,[],[f238,f218]) ).
fof(f218,plain,
m1_subset_1(sK12,k1_zfmisc_1(k1_zfmisc_1(sK10))),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ~ v1_xboole_0(sK10)
& m2_relset_1(sK13,sK10,sK11)
& ~ m1_subset_1(a_4_1_relset_2(sK10,sK11,sK12,sK13),k1_zfmisc_1(k1_zfmisc_1(sK11)))
& m1_subset_1(sK12,k1_zfmisc_1(k1_zfmisc_1(sK10))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f110,f161,f160,f159]) ).
fof(f159,plain,
( ? [X0] :
( ~ v1_xboole_0(X0)
& ? [X1,X2] :
( ? [X3] :
( m2_relset_1(X3,X0,X1)
& ~ m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) )
=> ( ~ v1_xboole_0(sK10)
& ? [X2,X1] :
( ? [X3] :
( m2_relset_1(X3,sK10,X1)
& ~ m1_subset_1(a_4_1_relset_2(sK10,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK10))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X2,X1] :
( ? [X3] :
( m2_relset_1(X3,sK10,X1)
& ~ m1_subset_1(a_4_1_relset_2(sK10,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK10))) )
=> ( ? [X3] :
( m2_relset_1(X3,sK10,sK11)
& ~ m1_subset_1(a_4_1_relset_2(sK10,sK11,sK12,X3),k1_zfmisc_1(k1_zfmisc_1(sK11))) )
& m1_subset_1(sK12,k1_zfmisc_1(k1_zfmisc_1(sK10))) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
( ? [X3] :
( m2_relset_1(X3,sK10,sK11)
& ~ m1_subset_1(a_4_1_relset_2(sK10,sK11,sK12,X3),k1_zfmisc_1(k1_zfmisc_1(sK11))) )
=> ( m2_relset_1(sK13,sK10,sK11)
& ~ m1_subset_1(a_4_1_relset_2(sK10,sK11,sK12,sK13),k1_zfmisc_1(k1_zfmisc_1(sK11))) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
? [X0] :
( ~ v1_xboole_0(X0)
& ? [X1,X2] :
( ? [X3] :
( m2_relset_1(X3,X0,X1)
& ~ m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_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)
=> ! [X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m2_relset_1(X3,X0,X1)
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_relset_2) ).
fof(f238,plain,
~ m1_subset_1(sK12,k1_zfmisc_1(k1_zfmisc_1(sK10))),
inference(resolution,[],[f237,f219]) ).
fof(f219,plain,
~ m1_subset_1(a_4_1_relset_2(sK10,sK11,sK12,sK13),k1_zfmisc_1(k1_zfmisc_1(sK11))),
inference(cnf_transformation,[],[f162]) ).
fof(f237,plain,
! [X0] :
( m1_subset_1(a_4_1_relset_2(sK10,sK11,X0,sK13),k1_zfmisc_1(k1_zfmisc_1(sK11)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK10))) ),
inference(subsumption_resolution,[],[f235,f221]) ).
fof(f221,plain,
~ v1_xboole_0(sK10),
inference(cnf_transformation,[],[f162]) ).
fof(f235,plain,
! [X0] :
( m1_subset_1(a_4_1_relset_2(sK10,sK11,X0,sK13),k1_zfmisc_1(k1_zfmisc_1(sK11)))
| v1_xboole_0(sK10)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK10))) ),
inference(resolution,[],[f210,f220]) ).
fof(f220,plain,
m2_relset_1(sK13,sK10,sK11),
inference(cnf_transformation,[],[f162]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X3,X0)
| v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X3)))
| m1_subset_1(a_4_1_relset_2(X3,X0,X2,X1),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X3,X0,X2,X1),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X3)))
| v1_xboole_0(X3)
| ~ m2_relset_1(X1,X3,X0) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X1,X3,X0,X2] :
( m1_subset_1(a_4_1_relset_2(X2,X1,X0,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X2)))
| v1_xboole_0(X2)
| ~ m2_relset_1(X3,X2,X1) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X1,X0,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X2,X1,X0,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X2)))
| ~ m2_relset_1(X3,X2,X1)
| v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0,X2,X3] :
( ( m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X2)))
& m2_relset_1(X3,X2,X1)
& ~ v1_xboole_0(X2) )
=> m1_subset_1(a_4_1_relset_2(X2,X1,X0,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X2,X1,X0,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m2_relset_1(X3,X0,X1)
& ~ v1_xboole_0(X0) )
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s8_domain_1__e1_38__relset_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 15:30:17 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.15/0.46 % (14424)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.47 % (14441)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.47 % (14433)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.48 % (14441)First to succeed.
% 0.15/0.48 % (14425)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (14441)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (14441)------------------------------
% 0.15/0.48 % (14441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (14441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (14441)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (14441)Memory used [KB]: 5500
% 0.15/0.48 % (14441)Time elapsed: 0.060 s
% 0.15/0.48 % (14441)Instructions burned: 5 (million)
% 0.15/0.48 % (14441)------------------------------
% 0.15/0.48 % (14441)------------------------------
% 0.15/0.48 % (14417)Success in time 0.162 s
%------------------------------------------------------------------------------