TSTP Solution File: SEU217+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n026.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 18:27:33 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 106 ( 53 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 129 ( 50 ~; 40 |; 26 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 40 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(subsumption_resolution,[],[f149,f129]) ).
fof(f129,plain,
apply(identity_relation(sK10),sK11) != sK11,
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( apply(identity_relation(sK10),sK11) != sK11
& in(sK11,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f90,f91]) ).
fof(f91,plain,
( ? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) )
=> ( apply(identity_relation(sK10),sK11) != sK11
& in(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
? [X0,X1] :
( apply(identity_relation(X0),X1) != X1
& in(X1,X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
? [X1,X0] :
( apply(identity_relation(X1),X0) != X0
& in(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X1,X0] :
( in(X0,X1)
=> apply(identity_relation(X1),X0) = X0 ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X1,X0] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X1,X0] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f149,plain,
apply(identity_relation(sK10),sK11) = sK11,
inference(subsumption_resolution,[],[f148,f101]) ).
fof(f101,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( function(identity_relation(X0))
& relation(identity_relation(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f148,plain,
( ~ function(identity_relation(sK10))
| apply(identity_relation(sK10),sK11) = sK11 ),
inference(subsumption_resolution,[],[f145,f100]) ).
fof(f100,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f145,plain,
( ~ relation(identity_relation(sK10))
| apply(identity_relation(sK10),sK11) = sK11
| ~ function(identity_relation(sK10)) ),
inference(resolution,[],[f128,f139]) ).
fof(f139,plain,
! [X2,X0] :
( ~ in(X2,X0)
| ~ relation(identity_relation(X0))
| ~ function(identity_relation(X0))
| apply(identity_relation(X0),X2) = X2 ),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ relation(X1)
| apply(X1,X2) = X2
| ~ in(X2,X0)
| identity_relation(X0) != X1
| ~ function(X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 )
& ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ( apply(X1,sK0(X0,X1)) != sK0(X0,X1)
& in(sK0(X0,X1),X0) ) ) )
| ~ function(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f66,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X3] :
( apply(X1,X3) != X3
& in(X3,X0) )
=> ( apply(X1,sK0(X0,X1)) != sK0(X0,X1)
& in(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 )
& ( identity_relation(X0) = X1
| relation_dom(X1) != X0
| ? [X3] :
( apply(X1,X3) != X3
& in(X3,X0) ) ) )
| ~ function(X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ relation(X0)
| ( ( ( relation_dom(X0) = X1
& ! [X2] :
( apply(X0,X2) = X2
| ~ in(X2,X1) ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( apply(X0,X2) != X2
& in(X2,X1) ) ) )
| ~ function(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ relation(X0)
| ( ( ( relation_dom(X0) = X1
& ! [X2] :
( apply(X0,X2) = X2
| ~ in(X2,X1) ) )
| identity_relation(X1) != X0 )
& ( identity_relation(X1) = X0
| relation_dom(X0) != X1
| ? [X2] :
( apply(X0,X2) != X2
& in(X2,X1) ) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ~ relation(X0)
| ( ( relation_dom(X0) = X1
& ! [X2] :
( apply(X0,X2) = X2
| ~ in(X2,X1) ) )
<=> identity_relation(X1) = X0 )
| ~ function(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( ( relation_dom(X0) = X1
& ! [X2] :
( apply(X0,X2) = X2
| ~ in(X2,X1) ) )
<=> identity_relation(X1) = X0 )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( identity_relation(X1) = X0
<=> ( ! [X2] :
( in(X2,X1)
=> apply(X0,X2) = X2 )
& relation_dom(X0) = X1 ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 )
<=> identity_relation(X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f128,plain,
in(sK11,sK10),
inference(cnf_transformation,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.14/0.34 % Computer : n026.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 15:04:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (19835)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.49 % (19842)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (19842)Instruction limit reached!
% 0.21/0.49 % (19842)------------------------------
% 0.21/0.49 % (19842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (19842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (19842)Termination reason: Unknown
% 0.21/0.49 % (19842)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (19842)Memory used [KB]: 1407
% 0.21/0.49 % (19842)Time elapsed: 0.003 s
% 0.21/0.49 % (19842)Instructions burned: 2 (million)
% 0.21/0.49 % (19842)------------------------------
% 0.21/0.49 % (19842)------------------------------
% 0.21/0.50 % (19850)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50 % (19826)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)
% 0.21/0.50 % (19835)Instruction limit reached!
% 0.21/0.50 % (19835)------------------------------
% 0.21/0.50 % (19835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (19835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (19835)Termination reason: Unknown
% 0.21/0.50 % (19835)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (19835)Memory used [KB]: 6140
% 0.21/0.50 % (19835)Time elapsed: 0.103 s
% 0.21/0.50 % (19835)Instructions burned: 7 (million)
% 0.21/0.50 % (19835)------------------------------
% 0.21/0.50 % (19835)------------------------------
% 0.21/0.50 % (19850)First to succeed.
% 0.21/0.50 % (19832)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.50 % (19850)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (19850)------------------------------
% 0.21/0.50 % (19850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (19850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (19850)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (19850)Memory used [KB]: 6012
% 0.21/0.50 % (19850)Time elapsed: 0.100 s
% 0.21/0.50 % (19850)Instructions burned: 3 (million)
% 0.21/0.50 % (19850)------------------------------
% 0.21/0.50 % (19850)------------------------------
% 0.21/0.50 % (19823)Success in time 0.154 s
%------------------------------------------------------------------------------