TSTP Solution File: GEO240+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO240+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 16:12:26 EDT 2022
% Result : Theorem 0.21s 0.54s
% 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 : 42 ( 21 ~; 1 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 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(f155,plain,
$false,
inference(subsumption_resolution,[],[f154,f146]) ).
fof(f146,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
fof(f154,plain,
left_apart_point(sK1,sF5),
inference(definition_folding,[],[f115,f153]) ).
fof(f153,plain,
sF5 = reverse_line(sK2),
introduced(function_definition,[]) ).
fof(f115,plain,
left_apart_point(sK1,reverse_line(sK2)),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ~ left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1)))
& left_apart_point(sK1,reverse_line(sK2))
& ~ apart_point_and_line(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f97,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( ~ left_convergent_lines(X2,reverse_line(line_connecting(X0,X1)))
& left_apart_point(X1,reverse_line(X2))
& ~ apart_point_and_line(X0,X2) )
=> ( ~ left_convergent_lines(sK2,reverse_line(line_connecting(sK0,sK1)))
& left_apart_point(sK1,reverse_line(sK2))
& ~ apart_point_and_line(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
? [X0,X1,X2] :
( ~ left_convergent_lines(X2,reverse_line(line_connecting(X0,X1)))
& left_apart_point(X1,reverse_line(X2))
& ~ apart_point_and_line(X0,X2) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
? [X1,X0,X2] :
( ~ left_convergent_lines(X2,reverse_line(line_connecting(X1,X0)))
& left_apart_point(X0,reverse_line(X2))
& ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
? [X2,X0,X1] :
( ~ left_convergent_lines(X2,reverse_line(line_connecting(X1,X0)))
& left_apart_point(X0,reverse_line(X2))
& ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X2,X0,X1] :
( ( left_apart_point(X0,reverse_line(X2))
& ~ apart_point_and_line(X1,X2) )
=> left_convergent_lines(X2,reverse_line(line_connecting(X1,X0))) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X3,X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
& left_apart_point(X3,reverse_line(X1)) )
=> left_convergent_lines(X1,reverse_line(line_connecting(X0,X3))) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X3,X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
& left_apart_point(X3,reverse_line(X1)) )
=> left_convergent_lines(X1,reverse_line(line_connecting(X0,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO240+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 29 21:47:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.52 % (9649)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)
% 0.21/0.53 % (9672)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53 % (9664)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (9664)First to succeed.
% 0.21/0.53 TRYING [2]
% 0.21/0.54 % (9650)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)
% 0.21/0.54 % (9649)Also succeeded, but the first one will report.
% 0.21/0.54 % (9664)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (9664)------------------------------
% 0.21/0.54 % (9664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (9664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (9664)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (9664)Memory used [KB]: 1023
% 0.21/0.54 % (9664)Time elapsed: 0.006 s
% 0.21/0.54 % (9664)Instructions burned: 3 (million)
% 0.21/0.54 % (9664)------------------------------
% 0.21/0.54 % (9664)------------------------------
% 0.21/0.54 % (9648)Success in time 0.171 s
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