TSTP Solution File: SEU094+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU094+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 : n007.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 74 ( 4 unt; 0 def)
% Number of atoms : 238 ( 1 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 270 ( 106 ~; 113 |; 31 &)
% ( 9 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 64 ( 50 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f615,plain,
$false,
inference(avatar_sat_refutation,[],[f337,f338,f343,f347,f528,f538,f539,f560,f612]) ).
fof(f612,plain,
( spl30_1
| ~ spl30_2
| ~ spl30_5
| spl30_11 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| spl30_1
| ~ spl30_2
| ~ spl30_5
| spl30_11 ),
inference(subsumption_resolution,[],[f610,f328]) ).
fof(f328,plain,
( ~ finite(sF29)
| spl30_1 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl30_1
<=> finite(sF29) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_1])]) ).
fof(f610,plain,
( finite(sF29)
| ~ spl30_2
| ~ spl30_5
| spl30_11 ),
inference(forward_demodulation,[],[f609,f320]) ).
fof(f320,plain,
sF29 = union(sK11),
introduced(function_definition,[]) ).
fof(f609,plain,
( finite(union(sK11))
| ~ spl30_2
| ~ spl30_5
| spl30_11 ),
inference(subsumption_resolution,[],[f608,f331]) ).
fof(f331,plain,
( finite(sK11)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl30_2
<=> finite(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_2])]) ).
fof(f608,plain,
( finite(union(sK11))
| ~ finite(sK11)
| ~ spl30_5
| spl30_11 ),
inference(subsumption_resolution,[],[f605,f537]) ).
fof(f537,plain,
( ~ finite(sK26(sK11))
| spl30_11 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl30_11
<=> finite(sK26(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_11])]) ).
fof(f605,plain,
( finite(sK26(sK11))
| ~ finite(sK11)
| finite(union(sK11))
| ~ spl30_5 ),
inference(resolution,[],[f306,f346]) ).
fof(f346,plain,
( ! [X2] :
( ~ in(X2,sK11)
| finite(X2) )
| ~ spl30_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl30_5
<=> ! [X2] :
( ~ in(X2,sK11)
| finite(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_5])]) ).
fof(f306,plain,
! [X0] :
( in(sK26(X0),X0)
| ~ finite(X0)
| finite(union(X0)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ~ finite(X0)
| finite(union(X0))
| ( ~ finite(sK26(X0))
& in(sK26(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f99,f182]) ).
fof(f182,plain,
! [X0] :
( ? [X1] :
( ~ finite(X1)
& in(X1,X0) )
=> ( ~ finite(sK26(X0))
& in(sK26(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ~ finite(X0)
| finite(union(X0))
| ? [X1] :
( ~ finite(X1)
& in(X1,X0) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( finite(union(X0))
| ~ finite(X0)
| ? [X1] :
( ~ finite(X1)
& in(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( finite(X0)
& ! [X1] :
( in(X1,X0)
=> finite(X1) ) )
=> finite(union(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l22_finset_1) ).
fof(f560,plain,
( spl30_3
| ~ spl30_4
| ~ spl30_5 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| spl30_3
| ~ spl30_4
| ~ spl30_5 ),
inference(subsumption_resolution,[],[f557,f336]) ).
fof(f336,plain,
( ~ finite(sK12)
| spl30_3 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl30_3
<=> finite(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_3])]) ).
fof(f557,plain,
( finite(sK12)
| ~ spl30_4
| ~ spl30_5 ),
inference(resolution,[],[f346,f342]) ).
fof(f342,plain,
( in(sK12,sK11)
| ~ spl30_4 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl30_4
<=> in(sK12,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl30_4])]) ).
fof(f539,plain,
( ~ spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f459,f330,f326]) ).
fof(f459,plain,
( finite(sK11)
| ~ finite(sF29) ),
inference(superposition,[],[f453,f320]) ).
fof(f453,plain,
! [X0] :
( ~ finite(union(X0))
| finite(X0) ),
inference(resolution,[],[f446,f279]) ).
fof(f279,plain,
! [X0] :
( finite(powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( finite(X0)
| ~ finite(powerset(X0)) )
& ( finite(powerset(X0))
| ~ finite(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( finite(X0)
<=> finite(powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_finset_1) ).
fof(f446,plain,
! [X1] :
( ~ finite(powerset(union(X1)))
| finite(X1) ),
inference(resolution,[],[f255,f192]) ).
fof(f192,plain,
! [X0] : subset(X0,powerset(union(X0))),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] : subset(X0,powerset(union(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_zfmisc_1) ).
fof(f255,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ finite(X1)
| finite(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X1,X0] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f538,plain,
( ~ spl30_2
| ~ spl30_11
| spl30_1 ),
inference(avatar_split_clause,[],[f496,f326,f535,f330]) ).
fof(f496,plain,
( finite(sF29)
| ~ finite(sK26(sK11))
| ~ finite(sK11) ),
inference(superposition,[],[f307,f320]) ).
fof(f307,plain,
! [X0] :
( finite(union(X0))
| ~ finite(X0)
| ~ finite(sK26(X0)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f528,plain,
( ~ spl30_1
| spl30_5 ),
inference(avatar_split_clause,[],[f461,f345,f326]) ).
fof(f461,plain,
! [X0] :
( finite(X0)
| ~ in(X0,sK11)
| ~ finite(sF29) ),
inference(resolution,[],[f457,f255]) ).
fof(f457,plain,
! [X0] :
( subset(X0,sF29)
| ~ in(X0,sK11) ),
inference(superposition,[],[f273,f320]) ).
fof(f273,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ in(X1,X0)
| subset(X1,union(X0)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( in(X1,X0)
=> subset(X1,union(X0)) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X1,X0] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).
fof(f347,plain,
( spl30_5
| spl30_1 ),
inference(avatar_split_clause,[],[f324,f326,f345]) ).
fof(f324,plain,
! [X2] :
( finite(sF29)
| ~ in(X2,sK11)
| finite(X2) ),
inference(definition_folding,[],[f233,f320]) ).
fof(f233,plain,
! [X2] :
( finite(union(sK11))
| finite(X2)
| ~ in(X2,sK11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( ~ finite(union(sK11))
| ~ finite(sK11)
| ( ~ finite(sK12)
& in(sK12,sK11) ) )
& ( finite(union(sK11))
| ( finite(sK11)
& ! [X2] :
( finite(X2)
| ~ in(X2,sK11) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f148,f150,f149]) ).
fof(f149,plain,
( ? [X0] :
( ( ~ finite(union(X0))
| ~ finite(X0)
| ? [X1] :
( ~ finite(X1)
& in(X1,X0) ) )
& ( finite(union(X0))
| ( finite(X0)
& ! [X2] :
( finite(X2)
| ~ in(X2,X0) ) ) ) )
=> ( ( ~ finite(union(sK11))
| ~ finite(sK11)
| ? [X1] :
( ~ finite(X1)
& in(X1,sK11) ) )
& ( finite(union(sK11))
| ( finite(sK11)
& ! [X2] :
( finite(X2)
| ~ in(X2,sK11) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X1] :
( ~ finite(X1)
& in(X1,sK11) )
=> ( ~ finite(sK12)
& in(sK12,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
? [X0] :
( ( ~ finite(union(X0))
| ~ finite(X0)
| ? [X1] :
( ~ finite(X1)
& in(X1,X0) ) )
& ( finite(union(X0))
| ( finite(X0)
& ! [X2] :
( finite(X2)
| ~ in(X2,X0) ) ) ) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
? [X0] :
( ( ~ finite(union(X0))
| ~ finite(X0)
| ? [X1] :
( ~ finite(X1)
& in(X1,X0) ) )
& ( finite(union(X0))
| ( finite(X0)
& ! [X1] :
( finite(X1)
| ~ in(X1,X0) ) ) ) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
? [X0] :
( ( ~ finite(union(X0))
| ~ finite(X0)
| ? [X1] :
( ~ finite(X1)
& in(X1,X0) ) )
& ( finite(union(X0))
| ( finite(X0)
& ! [X1] :
( finite(X1)
| ~ in(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
? [X0] :
( ( finite(X0)
& ! [X1] :
( finite(X1)
| ~ in(X1,X0) ) )
<~> finite(union(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,negated_conjecture,
~ ! [X0] :
( finite(union(X0))
<=> ( finite(X0)
& ! [X1] :
( in(X1,X0)
=> finite(X1) ) ) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
! [X0] :
( finite(union(X0))
<=> ( finite(X0)
& ! [X1] :
( in(X1,X0)
=> finite(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_finset_1) ).
fof(f343,plain,
( spl30_4
| ~ spl30_2
| ~ spl30_1 ),
inference(avatar_split_clause,[],[f322,f326,f330,f340]) ).
fof(f322,plain,
( ~ finite(sF29)
| ~ finite(sK11)
| in(sK12,sK11) ),
inference(definition_folding,[],[f235,f320]) ).
fof(f235,plain,
( ~ finite(union(sK11))
| ~ finite(sK11)
| in(sK12,sK11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f338,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f323,f330,f326]) ).
fof(f323,plain,
( finite(sK11)
| finite(sF29) ),
inference(definition_folding,[],[f234,f320]) ).
fof(f234,plain,
( finite(union(sK11))
| finite(sK11) ),
inference(cnf_transformation,[],[f151]) ).
fof(f337,plain,
( ~ spl30_1
| ~ spl30_2
| ~ spl30_3 ),
inference(avatar_split_clause,[],[f321,f334,f330,f326]) ).
fof(f321,plain,
( ~ finite(sK12)
| ~ finite(sK11)
| ~ finite(sF29) ),
inference(definition_folding,[],[f236,f320]) ).
fof(f236,plain,
( ~ finite(union(sK11))
| ~ finite(sK11)
| ~ finite(sK12) ),
inference(cnf_transformation,[],[f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:22:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 % (23709)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.49 % (23717)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)
% 0.19/0.49 % (23726)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (23709)First to succeed.
% 0.19/0.50 % (23712)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)
% 0.19/0.50 % (23709)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (23709)------------------------------
% 0.19/0.50 % (23709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23709)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (23709)Memory used [KB]: 6268
% 0.19/0.50 % (23709)Time elapsed: 0.097 s
% 0.19/0.50 % (23709)Instructions burned: 14 (million)
% 0.19/0.50 % (23709)------------------------------
% 0.19/0.50 % (23709)------------------------------
% 0.19/0.50 % (23704)Success in time 0.15 s
%------------------------------------------------------------------------------