TSTP Solution File: SET059-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET059-6 : 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 : n023.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 18:23:25 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 56 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 20 ~; 19 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,plain,
$false,
inference(avatar_sat_refutation,[],[f181,f183,f356,f379,f381,f398]) ).
fof(f398,plain,
~ spl2_26,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl2_26 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( x != x
| ~ spl2_26 ),
inference(superposition,[],[f94,f354]) ).
fof(f354,plain,
( x = y
| ~ spl2_26 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl2_26
<=> x = y ),
introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).
fof(f94,axiom,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_3) ).
fof(f381,plain,
spl2_31,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| spl2_31 ),
inference(resolution,[],[f378,f149]) ).
fof(f149,plain,
member(sF1,y),
inference(definition_folding,[],[f92,f148]) ).
fof(f148,plain,
not_subclass_element(x,y) = sF1,
introduced(function_definition,[]) ).
fof(f92,axiom,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_1) ).
fof(f378,plain,
( ~ member(sF1,y)
| spl2_31 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl2_31
<=> member(sF1,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).
fof(f379,plain,
( ~ spl2_31
| spl2_2 ),
inference(avatar_split_clause,[],[f175,f160,f376]) ).
fof(f160,plain,
( spl2_2
<=> subclass(x,y) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f175,plain,
( subclass(x,y)
| ~ member(sF1,y) ),
inference(superposition,[],[f3,f148]) ).
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(f356,plain,
( spl2_26
| ~ spl2_2
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f350,f169,f160,f352]) ).
fof(f169,plain,
( spl2_4
<=> subclass(y,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f350,plain,
( ~ subclass(x,y)
| x = y
| ~ spl2_4 ),
inference(resolution,[],[f7,f171]) ).
fof(f171,plain,
( subclass(y,x)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f183,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl2_5 ),
inference(resolution,[],[f180,f147]) ).
fof(f147,plain,
member(sF0,x),
inference(definition_folding,[],[f93,f146]) ).
fof(f146,plain,
not_subclass_element(y,x) = sF0,
introduced(function_definition,[]) ).
fof(f93,axiom,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_2) ).
fof(f180,plain,
( ~ member(sF0,x)
| spl2_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl2_5
<=> member(sF0,x) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f181,plain,
( ~ spl2_5
| spl2_4 ),
inference(avatar_split_clause,[],[f174,f169,f178]) ).
fof(f174,plain,
( subclass(y,x)
| ~ member(sF0,x) ),
inference(superposition,[],[f3,f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET059-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % 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 : n023.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 13:28:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (11648)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 % (11656)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)
% 0.19/0.49 % (11648)First to succeed.
% 0.19/0.49 % (11672)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 % (11671)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.49 % (11647)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (11655)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (11648)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (11648)------------------------------
% 0.19/0.50 % (11648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (11648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (11648)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (11648)Memory used [KB]: 5884
% 0.19/0.50 % (11648)Time elapsed: 0.092 s
% 0.19/0.50 % (11648)Instructions burned: 11 (million)
% 0.19/0.50 % (11648)------------------------------
% 0.19/0.50 % (11648)------------------------------
% 0.19/0.50 % (11639)Success in time 0.154 s
%------------------------------------------------------------------------------