TSTP Solution File: SET067-7 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.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 18:23:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 45 ( 13 unt; 0 def)
% Number of atoms : 89 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 33 ~; 40 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f810,plain,
$false,
inference(avatar_sat_refutation,[],[f207,f615,f672,f711,f809]) ).
fof(f809,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f807,f206]) ).
fof(f206,plain,
( member(x,sF1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl2_3
<=> member(x,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f807,plain,
~ member(x,sF1),
inference(subsumption_resolution,[],[f805,f168]) ).
fof(f168,plain,
~ subclass(sF0,sF1),
inference(definition_folding,[],[f159,f167,f166]) ).
fof(f166,plain,
sF0 = unordered_pair(x,x),
introduced(function_definition,[]) ).
fof(f167,plain,
unordered_pair(x,y) = sF1,
introduced(function_definition,[]) ).
fof(f159,plain,
~ subclass(unordered_pair(x,x),unordered_pair(x,y)),
inference(definition_unfolding,[],[f109,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f109,axiom,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
fof(f805,plain,
( subclass(sF0,sF1)
| ~ member(x,sF1) ),
inference(superposition,[],[f3,f789]) ).
fof(f789,plain,
x = not_subclass_element(sF0,sF1),
inference(resolution,[],[f603,f168]) ).
fof(f603,plain,
! [X0] :
( subclass(sF0,X0)
| x = not_subclass_element(sF0,X0) ),
inference(resolution,[],[f600,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f600,plain,
! [X0] :
( ~ member(X0,sF0)
| x = X0 ),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f596,plain,
! [X0] :
( x = X0
| x = X0
| ~ member(X0,sF0) ),
inference(superposition,[],[f8,f166]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f711,plain,
( spl2_1
| ~ spl2_37
| spl2_38 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| spl2_1
| ~ spl2_37
| spl2_38 ),
inference(subsumption_resolution,[],[f691,f197]) ).
fof(f197,plain,
( ~ member(x,universal_class)
| spl2_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl2_1
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f691,plain,
( member(x,universal_class)
| ~ spl2_37
| spl2_38 ),
inference(resolution,[],[f676,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f676,plain,
( ! [X0] :
( ~ subclass(sF0,X0)
| member(x,X0) )
| ~ spl2_37
| spl2_38 ),
inference(subsumption_resolution,[],[f673,f613]) ).
fof(f613,plain,
( null_class != sF0
| spl2_38 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f612,plain,
( spl2_38
<=> null_class = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).
fof(f673,plain,
( ! [X0] :
( null_class = sF0
| member(x,X0)
| ~ subclass(sF0,X0) )
| ~ spl2_37 ),
inference(superposition,[],[f243,f610]) ).
fof(f610,plain,
( x = regular(sF0)
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl2_37
<=> x = regular(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).
fof(f243,plain,
! [X10,X9] :
( member(regular(X9),X10)
| null_class = X9
| ~ subclass(X9,X10) ),
inference(resolution,[],[f1,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f672,plain,
~ spl2_38,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f671,plain,
( $false
| ~ spl2_38 ),
inference(subsumption_resolution,[],[f665,f104]) ).
fof(f104,axiom,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f665,plain,
( ~ subclass(null_class,sF1)
| ~ spl2_38 ),
inference(superposition,[],[f168,f614]) ).
fof(f614,plain,
( null_class = sF0
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f615,plain,
( spl2_37
| spl2_38 ),
inference(avatar_split_clause,[],[f602,f612,f608]) ).
fof(f602,plain,
( null_class = sF0
| x = regular(sF0) ),
inference(resolution,[],[f600,f66]) ).
fof(f207,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f191,f204,f195]) ).
fof(f191,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f167]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:19:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (19956)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (19963)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.50 % (19954)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (19956)First to succeed.
% 0.19/0.52 % (19971)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (19943)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (19956)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (19956)------------------------------
% 0.19/0.53 % (19956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19956)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (19956)Memory used [KB]: 6140
% 0.19/0.53 % (19956)Time elapsed: 0.111 s
% 0.19/0.53 % (19956)Instructions burned: 24 (million)
% 0.19/0.53 % (19956)------------------------------
% 0.19/0.53 % (19956)------------------------------
% 0.19/0.53 % (19942)Success in time 0.179 s
%------------------------------------------------------------------------------