TSTP Solution File: SEU250+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n028.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 18:27:57 EDT 2022
% Result : Theorem 1.64s 0.59s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 4 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 117 ( 43 ~; 38 |; 20 &)
% ( 5 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 50 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357,plain,
$false,
inference(avatar_sat_refutation,[],[f156,f197,f356]) ).
fof(f356,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| spl9_2 ),
inference(subsumption_resolution,[],[f317,f203]) ).
fof(f203,plain,
( ~ in(sK5(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3)),relation_field(sK3))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f155,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f93,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
& ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f155,plain,
( ~ subset(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3))
| spl9_2 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl9_2
<=> subset(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f317,plain,
( in(sK5(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3)),relation_field(sK3))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f205,f162]) ).
fof(f162,plain,
! [X2,X3] :
( ~ in(X2,relation_field(relation_restriction(sK3,X3)))
| in(X2,relation_field(sK3)) ),
inference(resolution,[],[f117,f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(X1,relation_field(X0))
| ~ in(X1,relation_field(relation_restriction(X0,X2))) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ in(X1,relation_field(relation_restriction(X0,X2)))
| ( in(X1,X2)
& in(X1,relation_field(X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( in(X1,X2)
& in(X1,relation_field(X0)) )
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( relation(X0)
=> ( in(X1,relation_field(relation_restriction(X0,X2)))
=> ( in(X1,X2)
& in(X1,relation_field(X0)) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X2,X0,X1] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f117,plain,
relation(sK3),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( ~ subset(relation_field(relation_restriction(sK3,sK2)),sK2)
| ~ subset(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3)) )
& relation(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f85,f86]) ).
fof(f86,plain,
( ? [X0,X1] :
( ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) )
& relation(X1) )
=> ( ( ~ subset(relation_field(relation_restriction(sK3,sK2)),sK2)
| ~ subset(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3)) )
& relation(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
? [X0,X1] :
( ( ~ subset(relation_field(relation_restriction(X1,X0)),X0)
| ~ subset(relation_field(relation_restriction(X1,X0)),relation_field(X1)) )
& relation(X1) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
? [X1,X0] :
( ( ~ subset(relation_field(relation_restriction(X0,X1)),X1)
| ~ subset(relation_field(relation_restriction(X0,X1)),relation_field(X0)) )
& relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
~ ! [X0,X1] :
( relation(X0)
=> ( subset(relation_field(relation_restriction(X0,X1)),X1)
& subset(relation_field(relation_restriction(X0,X1)),relation_field(X0)) ) ),
inference(rectify,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
& subset(relation_field(relation_restriction(X1,X0)),X0) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X1,X0] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
& subset(relation_field(relation_restriction(X1,X0)),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_wellord1) ).
fof(f205,plain,
( in(sK5(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3)),relation_field(relation_restriction(sK3,sK2)))
| spl9_2 ),
inference(resolution,[],[f155,f126]) ).
fof(f126,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f197,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| spl9_1 ),
inference(subsumption_resolution,[],[f190,f177]) ).
fof(f177,plain,
( in(sK5(relation_field(relation_restriction(sK3,sK2)),sK2),relation_field(relation_restriction(sK3,sK2)))
| spl9_1 ),
inference(resolution,[],[f151,f126]) ).
fof(f151,plain,
( ~ subset(relation_field(relation_restriction(sK3,sK2)),sK2)
| spl9_1 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl9_1
<=> subset(relation_field(relation_restriction(sK3,sK2)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f190,plain,
( ~ in(sK5(relation_field(relation_restriction(sK3,sK2)),sK2),relation_field(relation_restriction(sK3,sK2)))
| spl9_1 ),
inference(unit_resulting_resolution,[],[f117,f175,f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_field(relation_restriction(X0,X2)))
| in(X1,X2)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f175,plain,
( ~ in(sK5(relation_field(relation_restriction(sK3,sK2)),sK2),sK2)
| spl9_1 ),
inference(unit_resulting_resolution,[],[f151,f127]) ).
fof(f156,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f118,f153,f149]) ).
fof(f118,plain,
( ~ subset(relation_field(relation_restriction(sK3,sK2)),relation_field(sK3))
| ~ subset(relation_field(relation_restriction(sK3,sK2)),sK2) ),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.14/0.34 % Computer : n028.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
% 0.14/0.34 % DateTime : Tue Aug 30 15:07:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (23824)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.56 % (23840)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.56 % (23823)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.56 % (23832)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 % (23831)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57 % (23839)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.57 % (23824)First to succeed.
% 0.21/0.57 % (23831)Instruction limit reached!
% 0.21/0.57 % (23831)------------------------------
% 0.21/0.57 % (23831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (23831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (23831)Termination reason: Unknown
% 0.21/0.57 % (23831)Termination phase: Saturation
% 0.21/0.57 % (23832)Instruction limit reached!
% 0.21/0.57 % (23832)------------------------------
% 0.21/0.57 % (23832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57
% 0.21/0.57 % (23832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (23832)Termination reason: Unknown
% 0.21/0.57 % (23832)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (23832)Memory used [KB]: 6012
% 0.21/0.57 % (23832)Time elapsed: 0.148 s
% 0.21/0.57 % (23832)Instructions burned: 8 (million)
% 0.21/0.57 % (23832)------------------------------
% 0.21/0.57 % (23832)------------------------------
% 0.21/0.57 % (23831)Memory used [KB]: 6012
% 0.21/0.57 % (23831)Time elapsed: 0.004 s
% 0.21/0.57 % (23831)Instructions burned: 3 (million)
% 0.21/0.57 % (23831)------------------------------
% 0.21/0.57 % (23831)------------------------------
% 0.21/0.59 % (23823)Also succeeded, but the first one will report.
% 1.64/0.59 % (23824)Refutation found. Thanks to Tanya!
% 1.64/0.59 % SZS status Theorem for theBenchmark
% 1.64/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.59 % (23824)------------------------------
% 1.64/0.59 % (23824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (23824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (23824)Termination reason: Refutation
% 1.64/0.59
% 1.64/0.59 % (23824)Memory used [KB]: 6140
% 1.64/0.59 % (23824)Time elapsed: 0.138 s
% 1.64/0.59 % (23824)Instructions burned: 8 (million)
% 1.64/0.59 % (23824)------------------------------
% 1.64/0.59 % (23824)------------------------------
% 1.64/0.59 % (23816)Success in time 0.226 s
%------------------------------------------------------------------------------