TSTP Solution File: KRS179+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n013.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 17:31:01 EDT 2022
% Result : Theorem 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 87 ( 30 ~; 24 |; 23 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 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 : 72 ( 54 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(resolution,[],[f116,f81]) ).
fof(f81,plain,
~ isa(sK11,sK9),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( isa(sK11,sK10)
& ~ isa(sK11,sK9)
& isa(sK10,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( isa(X2,X1)
& ~ isa(X2,X0)
& isa(X1,X0) )
=> ( isa(sK11,sK10)
& ~ isa(sK11,sK9)
& isa(sK10,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( isa(X2,X1)
& ~ isa(X2,X0)
& isa(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X2,X0,X1] :
( isa(X1,X0)
& ~ isa(X1,X2)
& isa(X0,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ~ isa(X1,X2)
& isa(X0,X2)
& isa(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
~ ! [X0,X1,X2] :
( ( isa(X0,X2)
& isa(X1,X0) )
=> isa(X1,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X1,X0,X10] :
( ( isa(X1,X10)
& isa(X0,X1) )
=> isa(X0,X10) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X1,X0,X10] :
( ( isa(X1,X10)
& isa(X0,X1) )
=> isa(X0,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_transitive) ).
fof(f116,plain,
isa(sK11,sK9),
inference(resolution,[],[f115,f82]) ).
fof(f82,plain,
isa(sK11,sK10),
inference(cnf_transformation,[],[f52]) ).
fof(f115,plain,
! [X0] :
( ~ isa(X0,sK10)
| isa(X0,sK9) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X0] :
( isa(X0,sK9)
| isa(X0,sK9)
| ~ isa(X0,sK10) ),
inference(resolution,[],[f110,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ status(sK8(X0,X1),sK7(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( isa(X0,X1)
| ( ~ status(sK8(X0,X1),sK7(X0,X1),X1)
& status(sK8(X0,X1),sK7(X0,X1),X0) ) )
& ( ! [X4,X5] :
( status(X5,X4,X1)
| ~ status(X5,X4,X0) )
| ~ isa(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X1)
& status(X3,X2,X0) )
=> ( ~ status(sK8(X0,X1),sK7(X0,X1),X1)
& status(sK8(X0,X1),sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X3,X2,X1)
& status(X3,X2,X0) ) )
& ( ! [X4,X5] :
( status(X5,X4,X1)
| ~ status(X5,X4,X0) )
| ~ isa(X0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( isa(X1,X0)
| ? [X3,X2] :
( ~ status(X2,X3,X0)
& status(X2,X3,X1) ) )
& ( ! [X3,X2] :
( status(X2,X3,X0)
| ~ status(X2,X3,X1) )
| ~ isa(X1,X0) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( isa(X1,X0)
<=> ! [X3,X2] :
( status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X1)
=> status(X2,X3,X0) )
<=> isa(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f110,plain,
! [X0,X1] :
( status(sK8(X0,X1),sK7(X0,X1),sK9)
| ~ isa(X0,sK10)
| isa(X0,X1) ),
inference(resolution,[],[f108,f80]) ).
fof(f80,plain,
isa(sK10,sK9),
inference(cnf_transformation,[],[f52]) ).
fof(f108,plain,
! [X2,X3,X4,X5] :
( ~ isa(X4,X5)
| status(sK8(X2,X3),sK7(X2,X3),X5)
| ~ isa(X2,X4)
| isa(X2,X3) ),
inference(resolution,[],[f104,f73]) ).
fof(f73,plain,
! [X0,X1,X4,X5] :
( ~ status(X5,X4,X0)
| ~ isa(X0,X1)
| status(X5,X4,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f104,plain,
! [X2,X0,X1] :
( status(sK8(X0,X1),sK7(X0,X1),X2)
| isa(X0,X1)
| ~ isa(X0,X2) ),
inference(resolution,[],[f74,f73]) ).
fof(f74,plain,
! [X0,X1] :
( status(sK8(X0,X1),sK7(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : KRS179+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 00:31:32 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.50 % (28840)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.51 TRYING [1]
% 0.22/0.51 TRYING [2]
% 0.22/0.51 TRYING [3]
% 0.22/0.51 TRYING [4]
% 0.22/0.52 % (28860)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 (2999ds/68Mi)
% 0.22/0.52 % (28856)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.52 TRYING [5]
% 0.22/0.52 % (28847)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.52 % (28844)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.52 % (28848)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 (2999ds/68Mi)
% 0.22/0.53 % (28852)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.53 % (28835)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.53 % (28844)First to succeed.
% 0.22/0.53 % (28860)Also succeeded, but the first one will report.
% 0.22/0.53 TRYING [6]
% 0.22/0.53 % (28844)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (28844)------------------------------
% 0.22/0.53 % (28844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (28844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (28844)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (28844)Memory used [KB]: 5500
% 0.22/0.53 % (28844)Time elapsed: 0.110 s
% 0.22/0.53 % (28844)Instructions burned: 2 (million)
% 0.22/0.53 % (28844)------------------------------
% 0.22/0.53 % (28844)------------------------------
% 0.22/0.53 % (28829)Success in time 0.163 s
%------------------------------------------------------------------------------