TSTP Solution File: SEU320+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n006.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 18:28:44 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 5 unt; 0 def)
% Number of atoms : 147 ( 5 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 158 ( 58 ~; 59 |; 22 &)
% ( 7 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 30 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f58,f108,f114,f118]) ).
fof(f118,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| spl4_5 ),
inference(subsumption_resolution,[],[f115,f39]) ).
fof(f39,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( top_str(sK0)
& ( ~ open_subset(sK1,sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) )
& ( open_subset(sK1,sK0)
| closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) )
& element(sK1,powerset(the_carrier(sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f29,f28]) ).
fof(f28,plain,
( ? [X0] :
( top_str(X0)
& ? [X1] :
( ( ~ open_subset(X1,X0)
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(X1,X0)
| closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& element(X1,powerset(the_carrier(X0))) ) )
=> ( top_str(sK0)
& ? [X1] :
( ( ~ open_subset(X1,sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),X1),sK0) )
& ( open_subset(X1,sK0)
| closed_subset(subset_complement(the_carrier(sK0),X1),sK0) )
& element(X1,powerset(the_carrier(sK0))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X1] :
( ( ~ open_subset(X1,sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),X1),sK0) )
& ( open_subset(X1,sK0)
| closed_subset(subset_complement(the_carrier(sK0),X1),sK0) )
& element(X1,powerset(the_carrier(sK0))) )
=> ( ( ~ open_subset(sK1,sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) )
& ( open_subset(sK1,sK0)
| closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) )
& element(sK1,powerset(the_carrier(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0] :
( top_str(X0)
& ? [X1] :
( ( ~ open_subset(X1,X0)
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(X1,X0)
| closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& element(X1,powerset(the_carrier(X0))) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0] :
( top_str(X0)
& ? [X1] :
( ( ~ open_subset(X1,X0)
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(X1,X0)
| closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& element(X1,powerset(the_carrier(X0))) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X0] :
( top_str(X0)
& ? [X1] :
( ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
<~> open_subset(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/sandbox2/benchmark/theBenchmark.p',t30_tops_1) ).
fof(f115,plain,
( ~ element(sK1,powerset(the_carrier(sK0)))
| spl4_5 ),
inference(resolution,[],[f113,f47]) ).
fof(f47,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f113,plain,
( ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| spl4_5 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl4_5
<=> element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f114,plain,
( ~ spl4_1
| ~ spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f109,f54,f111,f50]) ).
fof(f50,plain,
( spl4_1
<=> open_subset(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f54,plain,
( spl4_2
<=> closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f109,plain,
( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ open_subset(sK1,sK0) ),
inference(subsumption_resolution,[],[f80,f42]) ).
fof(f42,plain,
top_str(sK0),
inference(cnf_transformation,[],[f30]) ).
fof(f80,plain,
( ~ open_subset(sK1,sK0)
| closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ top_str(sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))) ),
inference(superposition,[],[f45,f61]) ).
fof(f61,plain,
sK1 = subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1)),
inference(resolution,[],[f37,f39]) ).
fof(f37,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( 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/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f45,plain,
! [X0,X1] :
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ~ top_str(X0)
| ! [X1] :
( ( ( closed_subset(X1,X0)
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ top_str(X0)
| ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),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)))
=> ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_tops_1) ).
fof(f108,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f106,f52]) ).
fof(f52,plain,
( ~ open_subset(sK1,sK0)
| spl4_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f106,plain,
( open_subset(sK1,sK0)
| ~ spl4_2 ),
inference(forward_demodulation,[],[f105,f61]) ).
fof(f105,plain,
( open_subset(subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1)),sK0)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f104,f42]) ).
fof(f104,plain,
( ~ top_str(sK0)
| open_subset(subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1)),sK0)
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f100,f39]) ).
fof(f100,plain,
( open_subset(subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1)),sK0)
| ~ element(sK1,powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ spl4_2 ),
inference(resolution,[],[f67,f55]) ).
fof(f55,plain,
( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f67,plain,
! [X2,X3] :
( ~ closed_subset(subset_complement(the_carrier(X2),X3),X2)
| ~ top_str(X2)
| open_subset(subset_complement(the_carrier(X2),subset_complement(the_carrier(X2),X3)),X2)
| ~ element(X3,powerset(the_carrier(X2))) ),
inference(resolution,[],[f44,f47]) ).
fof(f44,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ top_str(X0)
| ~ closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f58,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f40,f54,f50]) ).
fof(f40,plain,
( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| open_subset(sK1,sK0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f41,f54,f50]) ).
fof(f41,plain,
( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ open_subset(sK1,sK0) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % 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 : n006.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 15:11:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (21156)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (21156)Refutation not found, incomplete strategy% (21156)------------------------------
% 0.19/0.54 % (21156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (21156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (21156)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (21156)Memory used [KB]: 5884
% 0.19/0.54 % (21156)Time elapsed: 0.127 s
% 0.19/0.54 % (21156)Instructions burned: 1 (million)
% 0.19/0.54 % (21156)------------------------------
% 0.19/0.54 % (21156)------------------------------
% 0.19/0.55 % (21164)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)
% 0.19/0.55 % (21165)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (21172)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)
% 0.19/0.55 % (21164)Instruction limit reached!
% 0.19/0.55 % (21164)------------------------------
% 0.19/0.55 % (21164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (21165)First to succeed.
% 0.19/0.55 % (21164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (21164)Termination reason: Unknown
% 0.19/0.55 % (21164)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (21164)Memory used [KB]: 5884
% 0.19/0.55 % (21164)Time elapsed: 0.141 s
% 0.19/0.55 % (21164)Instructions burned: 3 (million)
% 0.19/0.55 % (21164)------------------------------
% 0.19/0.55 % (21164)------------------------------
% 0.19/0.55 % (21173)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.55 % (21173)Refutation not found, incomplete strategy% (21173)------------------------------
% 0.19/0.55 % (21173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (21173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (21173)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (21173)Memory used [KB]: 1407
% 0.19/0.55 % (21173)Time elapsed: 0.077 s
% 0.19/0.55 % (21173)Instructions burned: 2 (million)
% 0.19/0.55 % (21173)------------------------------
% 0.19/0.55 % (21173)------------------------------
% 0.19/0.56 % (21153)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (21157)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.57 % (21157)Also succeeded, but the first one will report.
% 0.19/0.57 % (21165)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Theorem for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (21165)------------------------------
% 0.19/0.57 % (21165)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (21165)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (21165)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (21165)Memory used [KB]: 6012
% 0.19/0.57 % (21165)Time elapsed: 0.083 s
% 0.19/0.57 % (21165)Instructions burned: 4 (million)
% 0.19/0.57 % (21165)------------------------------
% 0.19/0.57 % (21165)------------------------------
% 0.19/0.57 % (21149)Success in time 0.221 s
%------------------------------------------------------------------------------