TSTP Solution File: SET516-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET516-6 : 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 : n024.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 18:24:51 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 61 ( 14 unt; 0 def)
% Number of atoms : 126 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 120 ( 55 ~; 58 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f802,plain,
$false,
inference(avatar_sat_refutation,[],[f206,f208,f297,f697,f721,f725,f736,f801]) ).
fof(f801,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_66 ),
inference(avatar_split_clause,[],[f796,f733,f203,f199]) ).
fof(f199,plain,
( spl1_1
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f203,plain,
( spl1_2
<=> member(x,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f733,plain,
( spl1_66
<=> null_class = intersection(x,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_66])]) ).
fof(f796,plain,
( ~ member(x,universal_class)
| ~ spl1_2
| ~ spl1_66 ),
inference(resolution,[],[f786,f656]) ).
fof(f656,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f644]) ).
fof(f644,plain,
null_class = complement(universal_class),
inference(resolution,[],[f641,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f641,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f631,plain,
! [X0] :
( complement(X0) = null_class
| complement(X0) = null_class
| ~ subclass(complement(X0),X0) ),
inference(resolution,[],[f217,f193]) ).
fof(f193,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f217,plain,
! [X2,X3] :
( member(regular(X2),X3)
| ~ subclass(X2,X3)
| null_class = X2 ),
inference(resolution,[],[f1,f66]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f786,plain,
( member(x,null_class)
| ~ spl1_2
| ~ spl1_66 ),
inference(resolution,[],[f767,f205]) ).
fof(f205,plain,
( member(x,x)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f767,plain,
( ! [X5] :
( ~ member(X5,x)
| member(X5,null_class) )
| ~ spl1_66 ),
inference(duplicate_literal_removal,[],[f766]) ).
fof(f766,plain,
( ! [X5] :
( ~ member(X5,x)
| member(X5,null_class)
| ~ member(X5,x) )
| ~ spl1_66 ),
inference(superposition,[],[f23,f735]) ).
fof(f735,plain,
( null_class = intersection(x,x)
| ~ spl1_66 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f736,plain,
( spl1_61
| spl1_66
| ~ spl1_63 ),
inference(avatar_split_clause,[],[f730,f694,f733,f685]) ).
fof(f685,plain,
( spl1_61
<=> null_class = x ),
introduced(avatar_definition,[new_symbols(naming,[spl1_61])]) ).
fof(f694,plain,
( spl1_63
<=> x = regular(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_63])]) ).
fof(f730,plain,
( null_class = intersection(x,x)
| null_class = x
| ~ spl1_63 ),
inference(superposition,[],[f67,f696]) ).
fof(f696,plain,
( x = regular(x)
| ~ spl1_63 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f725,plain,
~ spl1_14,
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl1_14 ),
inference(resolution,[],[f296,f50]) ).
fof(f50,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_is_inductive1) ).
fof(f296,plain,
( ! [X0] : ~ inductive(X0)
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl1_14
<=> ! [X0] : ~ inductive(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f721,plain,
( ~ spl1_13
| ~ spl1_2
| ~ spl1_61 ),
inference(avatar_split_clause,[],[f713,f685,f203,f291]) ).
fof(f291,plain,
( spl1_13
<=> member(null_class,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f713,plain,
( ~ member(null_class,universal_class)
| ~ spl1_2
| ~ spl1_61 ),
inference(resolution,[],[f708,f656]) ).
fof(f708,plain,
( member(null_class,null_class)
| ~ spl1_2
| ~ spl1_61 ),
inference(superposition,[],[f205,f687]) ).
fof(f687,plain,
( null_class = x
| ~ spl1_61 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f697,plain,
( spl1_63
| spl1_61 ),
inference(avatar_split_clause,[],[f680,f685,f694]) ).
fof(f680,plain,
( null_class = x
| x = regular(x) ),
inference(resolution,[],[f677,f66]) ).
fof(f677,plain,
! [X0] :
( ~ member(X0,x)
| x = X0 ),
inference(duplicate_literal_removal,[],[f676]) ).
fof(f676,plain,
! [X0] :
( ~ member(X0,x)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f183]) ).
fof(f183,plain,
x = unordered_pair(x,x),
inference(forward_demodulation,[],[f181,f182]) ).
fof(f182,plain,
x = sF0,
inference(definition_folding,[],[f151,f181]) ).
fof(f151,plain,
x = unordered_pair(x,x),
inference(definition_unfolding,[],[f113,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f113,axiom,
x = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_no_class_belongs_to_itself_1) ).
fof(f181,plain,
unordered_pair(x,x) = sF0,
introduced(function_definition,[]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f297,plain,
( spl1_13
| spl1_14 ),
inference(avatar_split_clause,[],[f252,f295,f291]) ).
fof(f252,plain,
! [X0] :
( ~ inductive(X0)
| member(null_class,universal_class) ),
inference(resolution,[],[f216,f4]) ).
fof(f216,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| member(null_class,X1)
| ~ inductive(X0) ),
inference(resolution,[],[f1,f47]) ).
fof(f47,axiom,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inductive1) ).
fof(f208,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f201,f191]) ).
fof(f191,plain,
member(x,universal_class),
inference(superposition,[],[f11,f183]) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f201,plain,
( ~ member(x,universal_class)
| spl1_1 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f206,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f197,f203,f199]) ).
fof(f197,plain,
( member(x,x)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f183]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET516-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n024.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 13:59:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 % (14998)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48 % (15023)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.49 % (15015)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (15002)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (14995)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)
% 0.19/0.51 % (14996)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (14998)First to succeed.
% 0.19/0.52 % (14998)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (14998)------------------------------
% 0.19/0.52 % (14998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14998)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (14998)Memory used [KB]: 6140
% 0.19/0.52 % (14998)Time elapsed: 0.124 s
% 0.19/0.52 % (14998)Instructions burned: 20 (million)
% 0.19/0.52 % (14998)------------------------------
% 0.19/0.52 % (14998)------------------------------
% 0.19/0.52 % (14992)Success in time 0.162 s
%------------------------------------------------------------------------------