TSTP Solution File: SEU320+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Sun May 5 09:33:40 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 128 ( 4 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 156 ( 64 ~; 55 |; 22 &)
% ( 4 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,plain,
$false,
inference(resolution,[],[f74,f36]) ).
fof(f36,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ open_subset(sK1,sK0) )
& ( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| open_subset(sK1,sK0) )
& element(sK1,powerset(the_carrier(sK0)))
& top_str(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f28,f27]) ).
fof(f27,plain,
( ? [X0] :
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) )
=> ( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
| ~ open_subset(X1,sK0) )
& ( closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
| open_subset(X1,sK0) )
& element(X1,powerset(the_carrier(sK0))) )
& top_str(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
| ~ open_subset(X1,sK0) )
& ( closed_subset(subset_complement(the_carrier(sK0),X1),sK0)
| open_subset(X1,sK0) )
& element(X1,powerset(the_carrier(sK0))) )
=> ( ( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ open_subset(sK1,sK0) )
& ( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| open_subset(sK1,sK0) )
& element(sK1,powerset(the_carrier(sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
? [X0] :
( ? [X1] :
( ( open_subset(X1,X0)
<~> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(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(f74,plain,
~ element(sK1,powerset(the_carrier(sK0))),
inference(resolution,[],[f73,f43]) ).
fof(f43,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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(f73,plain,
~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))),
inference(resolution,[],[f72,f35]) ).
fof(f35,plain,
top_str(sK0),
inference(cnf_transformation,[],[f29]) ).
fof(f72,plain,
( ~ top_str(sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f71,plain,
( ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ top_str(sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))) ),
inference(resolution,[],[f70,f62]) ).
fof(f62,plain,
( open_subset(sK1,sK0)
| ~ top_str(sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))) ),
inference(resolution,[],[f61,f37]) ).
fof(f37,plain,
( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| open_subset(sK1,sK0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f61,plain,
( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0) ),
inference(duplicate_literal_removal,[],[f60]) ).
fof(f60,plain,
( ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) ),
inference(resolution,[],[f51,f38]) ).
fof(f38,plain,
( ~ open_subset(sK1,sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
( open_subset(sK1,sK0)
| ~ closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0) ),
inference(superposition,[],[f39,f49]) ).
fof(f49,plain,
sK1 = subset_complement(the_carrier(sK0),subset_complement(the_carrier(sK0),sK1)),
inference(resolution,[],[f44,f36]) ).
fof(f44,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f39,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,[],[f30]) ).
fof(f30,plain,
! [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))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(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(f70,plain,
( ~ open_subset(sK1,sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f69,plain,
( ~ open_subset(sK1,sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0) ),
inference(resolution,[],[f64,f61]) ).
fof(f64,plain,
( closed_subset(subset_complement(the_carrier(sK0),sK1),sK0)
| ~ open_subset(sK1,sK0)
| ~ element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0)))
| ~ top_str(sK0) ),
inference(superposition,[],[f40,f49]) ).
fof(f40,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,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:40:03 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (31600)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (31605)WARNING: value z3 for option sas not known
% 0.21/0.38 % (31603)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (31604)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (31606)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (31608)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (31607)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (31609)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (31605)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (31608)First to succeed.
% 0.21/0.38 TRYING [1]
% 0.21/0.38 % (31607)Also succeeded, but the first one will report.
% 0.21/0.38 % (31608)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31600"
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (31609)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (31608)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (31608)------------------------------
% 0.21/0.38 % (31608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (31608)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (31608)Memory used [KB]: 776
% 0.21/0.38 % (31608)Time elapsed: 0.006 s
% 0.21/0.38 % (31608)Instructions burned: 6 (million)
% 0.21/0.38 % (31600)Success in time 0.021 s
%------------------------------------------------------------------------------