TSTP Solution File: SEU320+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n028.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 18:33:12 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 11 unt; 0 def)
% Number of atoms : 147 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 149 ( 62 ~; 63 |; 2 &)
% ( 11 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f217,plain,
$false,
inference(avatar_sat_refutation,[],[f54,f55,f70,f72,f130,f132,f165,f197,f211]) ).
fof(f211,plain,
( spl7_2
| ~ spl7_1
| ~ spl7_4
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f200,f195,f67,f47,f51]) ).
fof(f51,plain,
( spl7_2
<=> closed_subset(sF6,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f47,plain,
( spl7_1
<=> open_subset(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f67,plain,
( spl7_4
<=> element(sF6,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f195,plain,
( spl7_15
<=> ! [X0] :
( ~ open_subset(subset_complement(sF4,X0),sK0)
| closed_subset(X0,sK0)
| ~ element(X0,sF5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f200,plain,
( ~ element(sF6,sF5)
| ~ open_subset(sK1,sK0)
| closed_subset(sF6,sK0)
| ~ spl7_15 ),
inference(superposition,[],[f196,f86]) ).
fof(f86,plain,
subset_complement(sF4,sF6) = sK1,
inference(forward_demodulation,[],[f82,f43]) ).
fof(f43,plain,
subset_complement(sF4,sK1) = sF6,
introduced(function_definition,[]) ).
fof(f82,plain,
subset_complement(sF4,subset_complement(sF4,sK1)) = sK1,
inference(resolution,[],[f77,f42]) ).
fof(f42,plain,
element(sK1,sF5),
inference(definition_folding,[],[f36,f41,f40]) ).
fof(f40,plain,
the_carrier(sK0) = sF4,
introduced(function_definition,[]) ).
fof(f41,plain,
sF5 = powerset(sF4),
introduced(function_definition,[]) ).
fof(f36,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
? [X0] :
( top_str(X0)
& ? [X1] :
( ( open_subset(X1,X0)
<~> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& element(X1,powerset(the_carrier(X0))) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).
fof(f77,plain,
! [X0] :
( ~ element(X0,sF5)
| subset_complement(sF4,subset_complement(sF4,X0)) = X0 ),
inference(superposition,[],[f30,f41]) ).
fof(f30,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( subset_complement(X1,subset_complement(X1,X0)) = X0
| ~ element(X0,powerset(X1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( element(X0,powerset(X1))
=> subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f196,plain,
( ! [X0] :
( ~ open_subset(subset_complement(sF4,X0),sK0)
| closed_subset(X0,sK0)
| ~ element(X0,sF5) )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( ~ spl7_5
| spl7_15 ),
inference(avatar_split_clause,[],[f193,f195,f124]) ).
fof(f124,plain,
( spl7_5
<=> top_str(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f193,plain,
! [X0] :
( ~ open_subset(subset_complement(sF4,X0),sK0)
| ~ top_str(sK0)
| ~ element(X0,sF5)
| closed_subset(X0,sK0) ),
inference(forward_demodulation,[],[f189,f41]) ).
fof(f189,plain,
! [X0] :
( ~ top_str(sK0)
| ~ element(X0,powerset(sF4))
| closed_subset(X0,sK0)
| ~ open_subset(subset_complement(sF4,X0),sK0) ),
inference(superposition,[],[f29,f40]) ).
fof(f29,plain,
! [X0,X1] :
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ top_str(X0)
| ! [X1] :
( ( open_subset(subset_complement(the_carrier(X0),X1),X0)
<=> closed_subset(X1,X0) )
| ~ element(X1,powerset(the_carrier(X0))) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(subset_complement(the_carrier(X0),X1),X0)
<=> closed_subset(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
fof(f165,plain,
( ~ spl7_4
| ~ spl7_2
| spl7_1
| ~ spl7_6 ),
inference(avatar_split_clause,[],[f134,f128,f47,f51,f67]) ).
fof(f128,plain,
( spl7_6
<=> ! [X0] :
( ~ element(X0,sF5)
| open_subset(subset_complement(sF4,X0),sK0)
| ~ closed_subset(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f134,plain,
( open_subset(sK1,sK0)
| ~ closed_subset(sF6,sK0)
| ~ element(sF6,sF5)
| ~ spl7_6 ),
inference(superposition,[],[f129,f86]) ).
fof(f129,plain,
( ! [X0] :
( open_subset(subset_complement(sF4,X0),sK0)
| ~ closed_subset(X0,sK0)
| ~ element(X0,sF5) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,plain,
spl7_5,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| spl7_5 ),
inference(resolution,[],[f126,f37]) ).
fof(f37,plain,
top_str(sK0),
inference(cnf_transformation,[],[f27]) ).
fof(f126,plain,
( ~ top_str(sK0)
| spl7_5 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f130,plain,
( ~ spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f122,f128,f124]) ).
fof(f122,plain,
! [X0] :
( ~ element(X0,sF5)
| ~ top_str(sK0)
| ~ closed_subset(X0,sK0)
| open_subset(subset_complement(sF4,X0),sK0) ),
inference(forward_demodulation,[],[f119,f41]) ).
fof(f119,plain,
! [X0] :
( open_subset(subset_complement(sF4,X0),sK0)
| ~ element(X0,powerset(sF4))
| ~ top_str(sK0)
| ~ closed_subset(X0,sK0) ),
inference(superposition,[],[f28,f40]) ).
fof(f28,plain,
! [X0,X1] :
( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f72,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f71]) ).
fof(f71,plain,
( $false
| spl7_3 ),
inference(resolution,[],[f65,f42]) ).
fof(f65,plain,
( ~ element(sK1,sF5)
| spl7_3 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl7_3
<=> element(sK1,sF5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f70,plain,
( ~ spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f61,f67,f63]) ).
fof(f61,plain,
( element(sF6,sF5)
| ~ element(sK1,sF5) ),
inference(forward_demodulation,[],[f60,f41]) ).
fof(f60,plain,
( ~ element(sK1,sF5)
| element(sF6,powerset(sF4)) ),
inference(forward_demodulation,[],[f58,f41]) ).
fof(f58,plain,
( ~ element(sK1,powerset(sF4))
| element(sF6,powerset(sF4)) ),
inference(superposition,[],[f31,f43]) ).
fof(f31,plain,
! [X0,X1] :
( element(subset_complement(X1,X0),powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| element(subset_complement(X1,X0),powerset(X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( element(X0,powerset(X1))
=> element(subset_complement(X1,X0),powerset(X1)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f55,plain,
( ~ spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f44,f47,f51]) ).
fof(f44,plain,
( ~ open_subset(sK1,sK0)
| ~ closed_subset(sF6,sK0) ),
inference(definition_folding,[],[f35,f43,f40]) ).
fof(f35,plain,
( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ open_subset(sK1,sK0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f45,f51,f47]) ).
fof(f45,plain,
( closed_subset(sF6,sK0)
| open_subset(sK1,sK0) ),
inference(definition_folding,[],[f34,f43,f40]) ).
fof(f34,plain,
( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| open_subset(sK1,sK0) ),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 15:21:03 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.45 % (21650)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.15/0.46 % (21661)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 (3000ds/68Mi)
% 0.15/0.46 % (21671)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.15/0.47 % (21650)First to succeed.
% 0.15/0.47 % (21662)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.15/0.47 % (21670)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.15/0.47 % (21650)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (21650)------------------------------
% 0.15/0.47 % (21650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (21650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (21650)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (21650)Memory used [KB]: 5500
% 0.15/0.47 % (21650)Time elapsed: 0.106 s
% 0.15/0.47 % (21650)Instructions burned: 6 (million)
% 0.15/0.47 % (21650)------------------------------
% 0.15/0.47 % (21650)------------------------------
% 0.15/0.47 % (21646)Success in time 0.164 s
%------------------------------------------------------------------------------