TSTP Solution File: SEU096+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU096+1 : 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 : n020.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 18:26:39 EDT 2022
% Result : Theorem 1.59s 0.57s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 101 ( 9 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 113 ( 42 ~; 33 |; 28 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(subsumption_resolution,[],[f213,f197]) ).
fof(f197,plain,
relation(sK15),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( relation(sK15)
& function(sK15)
& ~ finite(sK14)
& subset(sK14,relation_rng(sK15))
& finite(relation_inverse_image(sK15,sK14)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f103,f140]) ).
fof(f140,plain,
( ? [X0,X1] :
( relation(X1)
& function(X1)
& ~ finite(X0)
& subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> ( relation(sK15)
& function(sK15)
& ~ finite(sK14)
& subset(sK14,relation_rng(sK15))
& finite(relation_inverse_image(sK15,sK14)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0,X1] :
( relation(X1)
& function(X1)
& ~ finite(X0)
& subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X1,X0] :
( ~ finite(X0)
& subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0))
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> finite(X0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( ( subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> finite(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finset_1) ).
fof(f213,plain,
~ relation(sK15),
inference(subsumption_resolution,[],[f212,f196]) ).
fof(f196,plain,
function(sK15),
inference(cnf_transformation,[],[f141]) ).
fof(f212,plain,
( ~ function(sK15)
| ~ relation(sK15) ),
inference(subsumption_resolution,[],[f211,f195]) ).
fof(f195,plain,
~ finite(sK14),
inference(cnf_transformation,[],[f141]) ).
fof(f211,plain,
( finite(sK14)
| ~ relation(sK15)
| ~ function(sK15) ),
inference(subsumption_resolution,[],[f209,f193]) ).
fof(f193,plain,
finite(relation_inverse_image(sK15,sK14)),
inference(cnf_transformation,[],[f141]) ).
fof(f209,plain,
( ~ finite(relation_inverse_image(sK15,sK14))
| ~ function(sK15)
| ~ relation(sK15)
| finite(sK14) ),
inference(superposition,[],[f174,f208]) ).
fof(f208,plain,
sK14 = relation_image(sK15,relation_inverse_image(sK15,sK14)),
inference(subsumption_resolution,[],[f207,f196]) ).
fof(f207,plain,
( sK14 = relation_image(sK15,relation_inverse_image(sK15,sK14))
| ~ function(sK15) ),
inference(subsumption_resolution,[],[f206,f197]) ).
fof(f206,plain,
( ~ relation(sK15)
| sK14 = relation_image(sK15,relation_inverse_image(sK15,sK14))
| ~ function(sK15) ),
inference(resolution,[],[f194,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ~ subset(X0,relation_rng(X1))
| ~ relation(X1)
| relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ function(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ function(X1)
| ~ subset(X0,relation_rng(X1))
| relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ relation(X1) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ function(X0)
| ~ subset(X1,relation_rng(X0))
| relation_image(X0,relation_inverse_image(X0,X1)) = X1
| ~ relation(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( relation_image(X0,relation_inverse_image(X0,X1)) = X1
| ~ subset(X1,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( subset(X1,relation_rng(X0))
=> relation_image(X0,relation_inverse_image(X0,X1)) = X1 ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t147_funct_1) ).
fof(f194,plain,
subset(sK14,relation_rng(sK15)),
inference(cnf_transformation,[],[f141]) ).
fof(f174,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X1,X0] :
( ~ relation(X0)
| ~ function(X0)
| ~ finite(X1)
| finite(relation_image(X0,X1)) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ finite(X1)
| ~ function(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( ( relation(X0)
& finite(X1)
& function(X0) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU096+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:40:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.37/0.55 % (16117)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)
% 1.37/0.56 % (16109)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.59/0.56 % (16109)First to succeed.
% 1.59/0.57 % (16109)Refutation found. Thanks to Tanya!
% 1.59/0.57 % SZS status Theorem for theBenchmark
% 1.59/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.57 % (16109)------------------------------
% 1.59/0.57 % (16109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.57 % (16109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.57 % (16109)Termination reason: Refutation
% 1.59/0.57
% 1.59/0.57 % (16109)Memory used [KB]: 6012
% 1.59/0.57 % (16109)Time elapsed: 0.143 s
% 1.59/0.57 % (16109)Instructions burned: 3 (million)
% 1.59/0.57 % (16109)------------------------------
% 1.59/0.57 % (16109)------------------------------
% 1.59/0.57 % (16107)Success in time 0.211 s
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