TSTP Solution File: SEU062+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU062+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 : n006.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 18:26:31 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 5 unt; 0 def)
% Number of atoms : 125 ( 16 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 145 ( 61 ~; 42 |; 23 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 67 ( 56 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(avatar_sat_refutation,[],[f184,f193,f237]) ).
fof(f237,plain,
~ spl15_3,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f236,plain,
( $false
| ~ spl15_3 ),
inference(resolution,[],[f225,f146]) ).
fof(f146,plain,
~ subset(sK12,relation_rng(sK11)),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( relation(sK11)
& ! [X2] :
( empty_set != relation_inverse_image(sK11,singleton(X2))
| ~ in(X2,sK12) )
& ~ subset(sK12,relation_rng(sK11)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f99,f100]) ).
fof(f100,plain,
( ? [X0,X1] :
( relation(X0)
& ! [X2] :
( empty_set != relation_inverse_image(X0,singleton(X2))
| ~ in(X2,X1) )
& ~ subset(X1,relation_rng(X0)) )
=> ( relation(sK11)
& ! [X2] :
( empty_set != relation_inverse_image(sK11,singleton(X2))
| ~ in(X2,sK12) )
& ~ subset(sK12,relation_rng(sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0,X1] :
( relation(X0)
& ! [X2] :
( empty_set != relation_inverse_image(X0,singleton(X2))
| ~ in(X2,X1) )
& ~ subset(X1,relation_rng(X0)) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
? [X1,X0] :
( relation(X1)
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& ~ subset(X0,relation_rng(X1)) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
? [X1,X0] :
( ~ subset(X0,relation_rng(X1))
& ! [X2] :
( empty_set != relation_inverse_image(X1,singleton(X2))
| ~ in(X2,X0) )
& relation(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> ( ! [X2] :
~ ( empty_set = relation_inverse_image(X1,singleton(X2))
& in(X2,X0) )
=> subset(X0,relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X1,X0] :
( relation(X1)
=> ( ! [X2] :
~ ( empty_set = relation_inverse_image(X1,singleton(X2))
& in(X2,X0) )
=> subset(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_funct_1) ).
fof(f225,plain,
( subset(sK12,relation_rng(sK11))
| ~ spl15_3 ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,plain,
( subset(sK12,relation_rng(sK11))
| subset(sK12,relation_rng(sK11))
| ~ spl15_3 ),
inference(resolution,[],[f198,f135]) ).
fof(f135,plain,
! [X0,X1] :
( in(sK8(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK8(X0,X1),X0)
& ~ in(sK8(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK8(X0,X1),X0)
& ~ in(sK8(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X0] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( subset(X1,X0)
<=> ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
<=> subset(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f198,plain,
( ! [X5] :
( ~ in(sK8(X5,relation_rng(sK11)),sK12)
| subset(X5,relation_rng(sK11)) )
| ~ spl15_3 ),
inference(resolution,[],[f179,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f179,plain,
( ! [X0] :
( in(X0,relation_rng(sK11))
| ~ in(X0,sK12) )
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl15_3
<=> ! [X0] :
( ~ in(X0,sK12)
| in(X0,relation_rng(sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f193,plain,
spl15_4,
inference(avatar_contradiction_clause,[],[f191]) ).
fof(f191,plain,
( $false
| spl15_4 ),
inference(resolution,[],[f183,f148]) ).
fof(f148,plain,
relation(sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f183,plain,
( ~ relation(sK11)
| spl15_4 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl15_4
<=> relation(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f184,plain,
( spl15_3
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f165,f181,f178]) ).
fof(f165,plain,
! [X0] :
( ~ relation(sK11)
| ~ in(X0,sK12)
| in(X0,relation_rng(sK11)) ),
inference(resolution,[],[f161,f159]) ).
fof(f159,plain,
! [X0,X1] :
( sQ14_eqProxy(empty_set,relation_inverse_image(X0,singleton(X1)))
| in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_proxy_replacement,[],[f141,f157]) ).
fof(f157,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f141,plain,
! [X0,X1] :
( in(X1,relation_rng(X0))
| empty_set = relation_inverse_image(X0,singleton(X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( ( in(X1,relation_rng(X0))
| empty_set = relation_inverse_image(X0,singleton(X1)) )
& ( empty_set != relation_inverse_image(X0,singleton(X1))
| ~ in(X1,relation_rng(X0)) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( in(X1,relation_rng(X0))
<=> empty_set != relation_inverse_image(X0,singleton(X1)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( relation(X0)
=> ( in(X1,relation_rng(X0))
<=> empty_set != relation_inverse_image(X0,singleton(X1)) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X1,X0] :
( relation(X1)
=> ( empty_set != relation_inverse_image(X1,singleton(X0))
<=> in(X0,relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t142_funct_1) ).
fof(f161,plain,
! [X2] :
( ~ sQ14_eqProxy(empty_set,relation_inverse_image(sK11,singleton(X2)))
| ~ in(X2,sK12) ),
inference(equality_proxy_replacement,[],[f147,f157]) ).
fof(f147,plain,
! [X2] :
( empty_set != relation_inverse_image(sK11,singleton(X2))
| ~ in(X2,sK12) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.12 % 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 : n006.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 14:34:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (19932)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.49 % (19932)First to succeed.
% 0.18/0.49 % (19922)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)
% 0.18/0.50 % (19932)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (19932)------------------------------
% 0.18/0.50 % (19932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (19932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (19932)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (19932)Memory used [KB]: 6012
% 0.18/0.50 % (19932)Time elapsed: 0.099 s
% 0.18/0.50 % (19932)Instructions burned: 4 (million)
% 0.18/0.50 % (19932)------------------------------
% 0.18/0.50 % (19932)------------------------------
% 0.18/0.50 % (19912)Success in time 0.15 s
%------------------------------------------------------------------------------