TSTP Solution File: KRS179+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS179+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 : n018.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 17:29:57 EDT 2022
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 26 ~; 14 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 43 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(subsumption_resolution,[],[f37,f36]) ).
fof(f36,plain,
~ status(sK0(sK3,sK2),sK1(sK3,sK2),sK4),
inference(unit_resulting_resolution,[],[f33,f34,f30]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| status(X2,X3,X0)
| ~ isa(X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( status(X2,X3,X0)
| ~ status(X2,X3,X1) )
| ~ isa(X1,X0) )
& ( isa(X1,X0)
| ( ~ status(sK0(X0,X1),sK1(X0,X1),X0)
& status(sK0(X0,X1),sK1(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f22,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ? [X4,X5] :
( ~ status(X4,X5,X0)
& status(X4,X5,X1) )
=> ( ~ status(sK0(X0,X1),sK1(X0,X1),X0)
& status(sK0(X0,X1),sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( status(X2,X3,X0)
| ~ status(X2,X3,X1) )
| ~ isa(X1,X0) )
& ( isa(X1,X0)
| ? [X4,X5] :
( ~ status(X4,X5,X0)
& status(X4,X5,X1) ) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( status(X2,X3,X0)
| ~ status(X2,X3,X1) )
| ~ isa(X1,X0) )
& ( isa(X1,X0)
| ? [X2,X3] :
( ~ status(X2,X3,X0)
& status(X2,X3,X1) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
| ~ status(X2,X3,X1) )
<=> isa(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( isa(X1,X0)
<=> ! [X3,X2] :
( status(X2,X3,X1)
=> status(X2,X3,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( isa(X0,X1)
<=> ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f34,plain,
~ status(sK0(sK3,sK2),sK1(sK3,sK2),sK3),
inference(unit_resulting_resolution,[],[f32,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ status(sK0(X0,X1),sK1(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f32,plain,
~ isa(sK2,sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( isa(sK4,sK3)
& ~ isa(sK2,sK3)
& isa(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f25,f26]) ).
fof(f26,plain,
( ? [X0,X1,X2] :
( isa(X2,X1)
& ~ isa(X0,X1)
& isa(X0,X2) )
=> ( isa(sK4,sK3)
& ~ isa(sK2,sK3)
& isa(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2] :
( isa(X2,X1)
& ~ isa(X0,X1)
& isa(X0,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X0,X2,X1] :
( isa(X1,X2)
& ~ isa(X0,X2)
& isa(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X1,X0,X2] :
( ~ isa(X0,X2)
& isa(X1,X2)
& isa(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X1,X0,X2] :
( ( isa(X1,X2)
& isa(X0,X1) )
=> isa(X0,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X10] :
( ( isa(X0,X1)
& isa(X1,X10) )
=> isa(X0,X10) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X1,X10] :
( ( isa(X0,X1)
& isa(X1,X10) )
=> isa(X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_transitive) ).
fof(f33,plain,
isa(sK4,sK3),
inference(cnf_transformation,[],[f27]) ).
fof(f37,plain,
status(sK0(sK3,sK2),sK1(sK3,sK2),sK4),
inference(unit_resulting_resolution,[],[f31,f35,f30]) ).
fof(f35,plain,
status(sK0(sK3,sK2),sK1(sK3,sK2),sK2),
inference(unit_resulting_resolution,[],[f32,f28]) ).
fof(f28,plain,
! [X0,X1] :
( status(sK0(X0,X1),sK1(X0,X1),X1)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f31,plain,
isa(sK2,sK4),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:39:10 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (1178)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.50 % (1181)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)
% 0.21/0.50 % (1181)First to succeed.
% 0.21/0.50 % (1181)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (1181)------------------------------
% 0.21/0.50 % (1181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (1181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (1181)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (1181)Memory used [KB]: 5884
% 0.21/0.50 % (1181)Time elapsed: 0.096 s
% 0.21/0.50 % (1181)Instructions burned: 1 (million)
% 0.21/0.50 % (1181)------------------------------
% 0.21/0.50 % (1181)------------------------------
% 0.21/0.50 % (1177)Success in time 0.15 s
%------------------------------------------------------------------------------