TSTP Solution File: SET084+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n017.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 18:19:01 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 131 ( 46 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 135 ( 49 ~; 40 |; 34 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 54 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f619,plain,
$false,
inference(avatar_sat_refutation,[],[f424,f537,f616]) ).
fof(f616,plain,
~ spl8_14,
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl8_14 ),
inference(trivial_inequality_removal,[],[f614]) ).
fof(f614,plain,
( sK3 != sK3
| ~ spl8_14 ),
inference(superposition,[],[f211,f607]) ).
fof(f607,plain,
( sK4 = sK3
| ~ spl8_14 ),
inference(duplicate_literal_removal,[],[f600]) ).
fof(f600,plain,
( sK4 = sK3
| sK4 = sK3
| ~ spl8_14 ),
inference(resolution,[],[f178,f420]) ).
fof(f420,plain,
( member(sK4,unordered_pair(sK3,sK3))
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f418,plain,
( spl8_14
<=> member(sK4,unordered_pair(sK3,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X1,X0))
| X1 = X2
| X0 = X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( member(X2,unordered_pair(X1,X0))
| ( X1 != X2
& X0 != X2 )
| ~ member(X2,universal_class) )
& ( ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) )
| ~ member(X2,unordered_pair(X1,X0)) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ( member(X1,unordered_pair(X0,X2))
| ( X0 != X1
& X1 != X2 )
| ~ member(X1,universal_class) )
& ( ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ( member(X1,unordered_pair(X0,X2))
| ( X0 != X1
& X1 != X2 )
| ~ member(X1,universal_class) )
& ( ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) )
| ~ member(X1,unordered_pair(X0,X2)) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(X1,unordered_pair(X0,X2))
<=> ( ( X0 = X1
| X1 = X2 )
& member(X1,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X2,X1] :
( ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f211,plain,
sK4 != sK3,
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( member(sK4,universal_class)
& singleton(sK3) = singleton(sK4)
& sK4 != sK3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f130,f131]) ).
fof(f131,plain,
( ? [X0,X1] :
( member(X1,universal_class)
& singleton(X0) = singleton(X1)
& X0 != X1 )
=> ( member(sK4,universal_class)
& singleton(sK3) = singleton(sK4)
& sK4 != sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
? [X0,X1] :
( member(X1,universal_class)
& singleton(X0) = singleton(X1)
& X0 != X1 ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
? [X1,X0] :
( member(X0,universal_class)
& singleton(X0) = singleton(X1)
& X0 != X1 ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0,X1] :
( X0 != X1
& singleton(X0) = singleton(X1)
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] :
( ( singleton(X0) = singleton(X1)
& member(X0,universal_class) )
=> X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( ( member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( ( member(X1,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_identified_by_element2) ).
fof(f537,plain,
spl8_12,
inference(avatar_split_clause,[],[f529,f404]) ).
fof(f404,plain,
( spl8_12
<=> member(sK4,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f529,plain,
member(sK4,universal_class),
inference(resolution,[],[f518,f214]) ).
fof(f214,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f518,plain,
! [X28] :
( ~ subclass(universal_class,X28)
| member(sK4,X28) ),
inference(resolution,[],[f224,f213]) ).
fof(f213,plain,
member(sK4,universal_class),
inference(cnf_transformation,[],[f132]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,X0)
| ~ subclass(X1,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ( ~ member(sK6(X0,X1),X0)
& member(sK6(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f138,f139]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK6(X0,X1),X0)
& member(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) )
& ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subclass(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
fof(f424,plain,
( spl8_14
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f423,f404,f418]) ).
fof(f423,plain,
( ~ member(sK4,universal_class)
| member(sK4,unordered_pair(sK3,sK3)) ),
inference(superposition,[],[f287,f271]) ).
fof(f271,plain,
unordered_pair(sK3,sK3) = unordered_pair(sK4,sK4),
inference(definition_unfolding,[],[f212,f161,f161]) ).
fof(f161,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f212,plain,
singleton(sK3) = singleton(sK4),
inference(cnf_transformation,[],[f132]) ).
fof(f287,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X2,X0,X1] :
( member(X2,unordered_pair(X1,X0))
| X0 != X2
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET084+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.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 12:36:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (14887)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)
% 0.19/0.50 % (14882)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (14882)Instruction limit reached!
% 0.19/0.50 % (14882)------------------------------
% 0.19/0.50 % (14882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (14879)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)
% 0.19/0.50 % (14882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (14882)Termination reason: Unknown
% 0.19/0.50 % (14882)Termination phase: Preprocessing 3
% 0.19/0.50
% 0.19/0.50 % (14882)Memory used [KB]: 1535
% 0.19/0.50 % (14882)Time elapsed: 0.004 s
% 0.19/0.50 % (14882)Instructions burned: 3 (million)
% 0.19/0.50 % (14882)------------------------------
% 0.19/0.50 % (14882)------------------------------
% 0.19/0.50 % (14874)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)
% 0.19/0.50 % (14887)First to succeed.
% 0.19/0.51 % (14870)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (14873)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)
% 0.19/0.51 % (14887)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (14887)------------------------------
% 0.19/0.51 % (14887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (14887)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (14887)Memory used [KB]: 6268
% 0.19/0.51 % (14887)Time elapsed: 0.068 s
% 0.19/0.51 % (14887)Instructions burned: 11 (million)
% 0.19/0.51 % (14887)------------------------------
% 0.19/0.51 % (14887)------------------------------
% 0.19/0.51 % (14864)Success in time 0.16 s
%------------------------------------------------------------------------------