TSTP Solution File: GEO245+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO245+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n026.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 16:12:27 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 36 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 1 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 15 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f174,plain,
$false,
inference(resolution,[],[f139,f153]) ).
fof(f153,plain,
left_apart_point(sK2,sF3),
inference(definition_folding,[],[f143,f152]) ).
fof(f152,plain,
line_connecting(sK1,sK0) = sF3,
introduced(function_definition,[]) ).
fof(f143,plain,
left_apart_point(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( left_apart_point(sK2,line_connecting(sK1,sK0))
& ~ left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2)))
& distinct_points(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f109,f110]) ).
fof(f110,plain,
( ? [X0,X1,X2] :
( left_apart_point(X2,line_connecting(X1,X0))
& ~ left_apart_point(X0,reverse_line(line_connecting(X1,X2)))
& distinct_points(X1,X0) )
=> ( left_apart_point(sK2,line_connecting(sK1,sK0))
& ~ left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2)))
& distinct_points(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
? [X0,X1,X2] :
( left_apart_point(X2,line_connecting(X1,X0))
& ~ left_apart_point(X0,reverse_line(line_connecting(X1,X2)))
& distinct_points(X1,X0) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
? [X0,X2,X1] :
( left_apart_point(X1,line_connecting(X2,X0))
& ~ left_apart_point(X0,reverse_line(line_connecting(X2,X1)))
& distinct_points(X2,X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0,X2,X1] :
( ~ left_apart_point(X0,reverse_line(line_connecting(X2,X1)))
& left_apart_point(X1,line_connecting(X2,X0))
& distinct_points(X2,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X2,X1] :
( distinct_points(X2,X0)
=> ( left_apart_point(X1,line_connecting(X2,X0))
=> left_apart_point(X0,reverse_line(line_connecting(X2,X1))) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X3,X4,X0] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,line_connecting(X0,X3))
=> left_apart_point(X3,reverse_line(line_connecting(X0,X4))) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X3,X4,X0] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,line_connecting(X0,X3))
=> left_apart_point(X3,reverse_line(line_connecting(X0,X4))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f139,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO245+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Aug 29 21:48:20 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.51 % (14244)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51 % (14250)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)
% 0.21/0.52 % (14260)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (14268)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.52 % (14268)First to succeed.
% 0.21/0.52 % (14258)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)
% 0.21/0.52 TRYING [3]
% 0.21/0.52 % (14268)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (14268)------------------------------
% 0.21/0.52 % (14268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (14268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (14268)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (14268)Memory used [KB]: 5500
% 0.21/0.52 % (14268)Time elapsed: 0.107 s
% 0.21/0.52 % (14268)Instructions burned: 3 (million)
% 0.21/0.52 % (14268)------------------------------
% 0.21/0.52 % (14268)------------------------------
% 0.21/0.52 % (14243)Success in time 0.156 s
%------------------------------------------------------------------------------