TSTP Solution File: GEO208+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO208+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 : n028.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 16:12:17 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 77 ( 34 ~; 16 |; 22 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 36 ( 24 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(unit_resulting_resolution,[],[f68,f66,f65,f67,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| convergent_lines(X1,X0)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| convergent_lines(X0,X2) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
=> ( apart_point_and_line(X1,X2)
| convergent_lines(X0,X2)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
fof(f67,plain,
distinct_lines(sK0,sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ apart_point_and_line(sK1,sK0)
& distinct_lines(sK0,sK2)
& ~ apart_point_and_line(sK1,sK2)
& ~ convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
& distinct_lines(X0,X2)
& ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X0,X2) )
=> ( ~ apart_point_and_line(sK1,sK0)
& distinct_lines(sK0,sK2)
& ~ apart_point_and_line(sK1,sK2)
& ~ convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
& distinct_lines(X0,X2)
& ~ apart_point_and_line(X1,X2)
& ~ convergent_lines(X0,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X1,X0,X2] :
( ~ apart_point_and_line(X0,X1)
& distinct_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X2,X1,X0] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X2,X1,X0] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X1,X2) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X2,X1,X0] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f65,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f66,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f52]) ).
fof(f68,plain,
~ apart_point_and_line(sK1,sK0),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 21:37:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.49 % (8618)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.49 % (8610)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.49 % (8610)First to succeed.
% 0.21/0.49 % (8610)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (8610)------------------------------
% 0.21/0.49 % (8610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (8610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (8610)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (8610)Memory used [KB]: 5373
% 0.21/0.49 % (8610)Time elapsed: 0.097 s
% 0.21/0.49 % (8610)Instructions burned: 3 (million)
% 0.21/0.49 % (8610)------------------------------
% 0.21/0.49 % (8610)------------------------------
% 0.21/0.49 % (8608)Success in time 0.146 s
%------------------------------------------------------------------------------