TSTP Solution File: GEO242+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO242+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 : 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 16:12:26 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 44 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 2 |; 22 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 17 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(subsumption_resolution,[],[f159,f131]) ).
fof(f131,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f159,plain,
left_convergent_lines(sK1,sF4),
inference(definition_folding,[],[f127,f158,f157]) ).
fof(f157,plain,
sF3 = line_connecting(sK0,sK2),
introduced(function_definition,[]) ).
fof(f158,plain,
sF4 = reverse_line(sF3),
introduced(function_definition,[]) ).
fof(f127,plain,
left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2))),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( distinct_points(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1)
& left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2)))
& ~ left_apart_point(sK2,reverse_line(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f76,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& ~ left_apart_point(X2,reverse_line(X1)) )
=> ( distinct_points(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1)
& left_convergent_lines(sK1,reverse_line(line_connecting(sK0,sK2)))
& ~ left_apart_point(sK2,reverse_line(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1,X2] :
( distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& ~ left_apart_point(X2,reverse_line(X1)) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X1,X0,X2] :
( ~ left_apart_point(X2,reverse_line(X1))
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X1,X0,X2] :
( ( left_convergent_lines(X1,reverse_line(line_connecting(X0,X2)))
& distinct_points(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> left_apart_point(X2,reverse_line(X1)) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X3] :
( ( ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X3)))
& distinct_points(X0,X3) )
=> left_apart_point(X3,reverse_line(X1)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X1,X3] :
( ( ~ apart_point_and_line(X0,X1)
& left_convergent_lines(X1,reverse_line(line_connecting(X0,X3)))
& distinct_points(X0,X3) )
=> left_apart_point(X3,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO242+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n013.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:29:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (28325)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.47 % (28333)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.47 % (28333)First to succeed.
% 0.20/0.47 % (28333)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (28333)------------------------------
% 0.20/0.47 % (28333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (28333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (28333)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (28333)Memory used [KB]: 5500
% 0.20/0.47 % (28333)Time elapsed: 0.005 s
% 0.20/0.47 % (28333)Instructions burned: 3 (million)
% 0.20/0.47 % (28333)------------------------------
% 0.20/0.47 % (28333)------------------------------
% 0.20/0.47 % (28319)Success in time 0.119 s
%------------------------------------------------------------------------------