TSTP Solution File: KRS188+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS188+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n001.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 17:29:59 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 168 ( 59 ~; 44 |; 46 &)
% ( 7 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 82 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(subsumption_resolution,[],[f78,f74]) ).
fof(f74,plain,
model(sK0(sK2(wec,thm),sK1(wec,thm)),sK1(wec,thm)),
inference(unit_resulting_resolution,[],[f69,f58]) ).
fof(f58,plain,
! [X0,X1] :
( model(sK0(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( ~ model(sK0(X0,X1),X0)
& model(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK0(X0,X1),X0)
& model(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f69,plain,
~ status(sK1(wec,thm),sK2(wec,thm),thm),
inference(unit_resulting_resolution,[],[f56,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ status(sK1(X0,X1),sK2(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( isa(X0,X1)
| ( status(sK1(X0,X1),sK2(X0,X1),X0)
& ~ status(sK1(X0,X1),sK2(X0,X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f46,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
=> ( status(sK1(X0,X1),sK2(X0,X1),X0)
& ~ status(sK1(X0,X1),sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( isa(X0,X1)
| ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( isa(X1,X0)
| ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X1)
=> status(X2,X3,X0) )
=> isa(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X1)
=> status(X2,X3,X0) )
<=> isa(X1,X0) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X7,X6] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f56,plain,
~ isa(wec,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(wec,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wec,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wec,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_wec_thm) ).
fof(f78,plain,
~ model(sK0(sK2(wec,thm),sK1(wec,thm)),sK1(wec,thm)),
inference(unit_resulting_resolution,[],[f68,f73,f65]) ).
fof(f65,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,wec)
| ~ model(X3,X0)
| model(X3,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ~ model(sK3(X0,X1),X0)
& model(sK3(X0,X1),X1)
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& model(sK4(X0),X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X5] :
( model(X5,X0)
| ~ model(X5,X1) )
| ( model(sK5(X0,X1),X0)
& ~ model(sK5(X0,X1),X1) )
| ! [X7] : ~ model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f51,f54,f53,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK3(X0,X1),X0)
& model(sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X6] :
( model(X6,X0)
& ~ model(X6,X1) )
=> ( model(sK5(X0,X1),X0)
& ~ model(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X5] :
( model(X5,X0)
| ~ model(X5,X1) )
| ? [X6] :
( model(X6,X0)
& ~ model(X6,X1) )
| ! [X7] : ~ model(X7,X0) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( ( ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( ( ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wec) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
& ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wec) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wec) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wec) ).
fof(f73,plain,
~ model(sK0(sK2(wec,thm),sK1(wec,thm)),sK2(wec,thm)),
inference(unit_resulting_resolution,[],[f69,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ model(sK0(X0,X1),X0)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f45]) ).
fof(f68,plain,
status(sK1(wec,thm),sK2(wec,thm),wec),
inference(unit_resulting_resolution,[],[f56,f61]) ).
fof(f61,plain,
! [X0,X1] :
( status(sK1(X0,X1),sK2(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS188+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 00:56:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (3633)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)
% 0.20/0.49 % (3641)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)
% 0.20/0.49 % (3629)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)
% 0.20/0.49 % (3629)First to succeed.
% 0.20/0.49 % (3629)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (3629)------------------------------
% 0.20/0.49 % (3629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (3629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (3629)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (3629)Memory used [KB]: 6012
% 0.20/0.49 % (3629)Time elapsed: 0.096 s
% 0.20/0.49 % (3629)Instructions burned: 2 (million)
% 0.20/0.49 % (3629)------------------------------
% 0.20/0.49 % (3629)------------------------------
% 0.20/0.49 % (3625)Success in time 0.151 s
%------------------------------------------------------------------------------