TSTP Solution File: GEO212+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO212+2 : 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_sat --cores 0 -t %d %s
% Computer : n015.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 16:12:18 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 101 ( 31 ~; 38 |; 24 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 71 ( 59 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,plain,
$false,
inference(subsumption_resolution,[],[f326,f103]) ).
fof(f103,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f75,f76]) ).
fof(f76,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& unorthogonal_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
? [X1,X2,X0] :
( ~ unorthogonal_lines(X2,X0)
& ~ convergent_lines(X1,X0)
& unorthogonal_lines(X1,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X1,X0,X2] :
( ~ convergent_lines(X1,X0)
& ~ unorthogonal_lines(X2,X0)
& unorthogonal_lines(X1,X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X1,X0,X2] :
( unorthogonal_lines(X1,X2)
=> ( convergent_lines(X1,X0)
| unorthogonal_lines(X2,X0) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X7,X5,X6] :
( unorthogonal_lines(X5,X6)
=> ( convergent_lines(X5,X7)
| unorthogonal_lines(X6,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X7,X5,X6] :
( unorthogonal_lines(X5,X6)
=> ( convergent_lines(X5,X7)
| unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f326,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f318,f104]) ).
fof(f104,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f318,plain,
! [X0] :
( unorthogonal_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(subsumption_resolution,[],[f307,f161]) ).
fof(f161,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f147,f89]) ).
fof(f89,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f147,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f146,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X0)
| ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f146,plain,
convergent_lines(sK1,sK0),
inference(subsumption_resolution,[],[f139,f89]) ).
fof(f139,plain,
( convergent_lines(sK2,sK2)
| convergent_lines(sK1,sK0) ),
inference(resolution,[],[f113,f103]) ).
fof(f113,plain,
! [X0,X1] :
( convergent_lines(sK2,X1)
| convergent_lines(sK1,X0)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f110,f96]) ).
fof(f110,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f96,f106]) ).
fof(f106,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f88,f104]) ).
fof(f88,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',occu1) ).
fof(f307,plain,
! [X0] :
( ~ convergent_lines(sK0,sK1)
| convergent_lines(sK0,X0)
| unorthogonal_lines(sK1,X0) ),
inference(resolution,[],[f87,f102]) ).
fof(f102,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f77]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| unorthogonal_lines(X1,X0)
| ~ convergent_lines(X2,X1)
| convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) )
| ~ convergent_lines(X2,X1)
| ( convergent_lines(X2,X0)
& unorthogonal_lines(X2,X0) )
| ~ unorthogonal_lines(X2,X1) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X2,X1,X0] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0] :
( ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
=> ( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( convergent_lines(X5,X6)
& unorthogonal_lines(X5,X6) )
=> ( ( convergent_lines(X6,X7)
& unorthogonal_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oac1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO212+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:40:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (16729)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (16729)First to succeed.
% 0.20/0.50 % (16744)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (16729)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16729)------------------------------
% 0.20/0.52 % (16729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16729)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16729)Memory used [KB]: 5500
% 0.20/0.52 % (16729)Time elapsed: 0.086 s
% 0.20/0.52 % (16729)Instructions burned: 14 (million)
% 0.20/0.52 % (16729)------------------------------
% 0.20/0.52 % (16729)------------------------------
% 0.20/0.52 % (16715)Success in time 0.16 s
%------------------------------------------------------------------------------