TSTP Solution File: SEU429+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n009.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 18:30:20 EDT 2022
% Result : Theorem 1.63s 0.57s
% Output : Refutation 1.63s
% 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(f371,plain,
$false,
inference(subsumption_resolution,[],[f357,f223]) ).
fof(f223,plain,
m1_subset_1(sK13,k1_zfmisc_1(k1_zfmisc_1(sK11))),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( m1_subset_1(sK13,k1_zfmisc_1(k1_zfmisc_1(sK11)))
& m2_relset_1(sK14,sK11,sK12)
& ~ m1_subset_1(a_4_1_relset_2(sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK12)))
& ~ v1_xboole_0(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f90,f164,f163,f162]) ).
fof(f162,plain,
( ? [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))) ) )
& ~ v1_xboole_0(X0) )
=> ( ? [X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK11)))
& ? [X3] :
( m2_relset_1(X3,sK11,X1)
& ~ m1_subset_1(a_4_1_relset_2(sK11,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) )
& ~ v1_xboole_0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X2,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(sK11)))
& ? [X3] :
( m2_relset_1(X3,sK11,X1)
& ~ m1_subset_1(a_4_1_relset_2(sK11,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) )
=> ( m1_subset_1(sK13,k1_zfmisc_1(k1_zfmisc_1(sK11)))
& ? [X3] :
( m2_relset_1(X3,sK11,sK12)
& ~ m1_subset_1(a_4_1_relset_2(sK11,sK12,sK13,X3),k1_zfmisc_1(k1_zfmisc_1(sK12))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X3] :
( m2_relset_1(X3,sK11,sK12)
& ~ m1_subset_1(a_4_1_relset_2(sK11,sK12,sK13,X3),k1_zfmisc_1(k1_zfmisc_1(sK12))) )
=> ( m2_relset_1(sK14,sK11,sK12)
& ~ m1_subset_1(a_4_1_relset_2(sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK12))) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [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))) ) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X2,X1] :
( 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)
=> ! [X2,X1] :
( 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/sandbox/benchmark/theBenchmark.p',t28_relset_2) ).
fof(f357,plain,
~ m1_subset_1(sK13,k1_zfmisc_1(k1_zfmisc_1(sK11))),
inference(resolution,[],[f258,f221]) ).
fof(f221,plain,
~ m1_subset_1(a_4_1_relset_2(sK11,sK12,sK13,sK14),k1_zfmisc_1(k1_zfmisc_1(sK12))),
inference(cnf_transformation,[],[f165]) ).
fof(f258,plain,
! [X0] :
( m1_subset_1(a_4_1_relset_2(sK11,sK12,X0,sK14),k1_zfmisc_1(k1_zfmisc_1(sK12)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK11))) ),
inference(subsumption_resolution,[],[f249,f220]) ).
fof(f220,plain,
~ v1_xboole_0(sK11),
inference(cnf_transformation,[],[f165]) ).
fof(f249,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK11)))
| v1_xboole_0(sK11)
| m1_subset_1(a_4_1_relset_2(sK11,sK12,X0,sK14),k1_zfmisc_1(k1_zfmisc_1(sK12))) ),
inference(resolution,[],[f222,f182]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X1,X3,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X3)))
| v1_xboole_0(X3)
| m1_subset_1(a_4_1_relset_2(X3,X0,X2,X1),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ~ 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(rectify,[],[f114]) ).
fof(f114,plain,
! [X3,X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X3)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| m1_subset_1(a_4_1_relset_2(X1,X3,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X3))) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X1,X0,X2,X3] :
( m1_subset_1(a_4_1_relset_2(X1,X3,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X3)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X2,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
& m2_relset_1(X2,X1,X3) )
=> m1_subset_1(a_4_1_relset_2(X1,X3,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X3))) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X2,X0,X3,X1] :
( ( m2_relset_1(X3,X0,X1)
& ~ v1_xboole_0(X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_38__relset_2) ).
fof(f222,plain,
m2_relset_1(sK14,sK11,sK12),
inference(cnf_transformation,[],[f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:31:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.49/0.55 % (21999)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)
% 1.49/0.56 % (21998)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.63/0.56 % (22006)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.63/0.56 % (22006)First to succeed.
% 1.63/0.57 % (22005)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.63/0.57 % (21998)Instruction limit reached!
% 1.63/0.57 % (21998)------------------------------
% 1.63/0.57 % (21998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (21998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (21998)Termination reason: Unknown
% 1.63/0.57 % (21998)Termination phase: Property scanning
% 1.63/0.57
% 1.63/0.57 % (21998)Memory used [KB]: 1535
% 1.63/0.57 % (21998)Time elapsed: 0.004 s
% 1.63/0.57 % (21998)Instructions burned: 3 (million)
% 1.63/0.57 % (21998)------------------------------
% 1.63/0.57 % (21998)------------------------------
% 1.63/0.57 % (21999)Also succeeded, but the first one will report.
% 1.63/0.57 % (22006)Refutation found. Thanks to Tanya!
% 1.63/0.57 % SZS status Theorem for theBenchmark
% 1.63/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.57 % (22006)------------------------------
% 1.63/0.57 % (22006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (22006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (22006)Termination reason: Refutation
% 1.63/0.57
% 1.63/0.57 % (22006)Memory used [KB]: 6140
% 1.63/0.57 % (22006)Time elapsed: 0.136 s
% 1.63/0.57 % (22006)Instructions burned: 6 (million)
% 1.63/0.57 % (22006)------------------------------
% 1.63/0.57 % (22006)------------------------------
% 1.63/0.57 % (21995)Success in time 0.222 s
%------------------------------------------------------------------------------