TSTP Solution File: GEO244+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO244+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n016.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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 7 |; 16 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 ( 29 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f183,plain,
$false,
inference(resolution,[],[f182,f144]) ).
fof(f144,plain,
right_apart_point(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( distinct_points(sK0,sK2)
& right_apart_point(sK1,line_connecting(sK0,sK2))
& ~ left_apart_point(sK1,line_connecting(sK2,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f117,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X2)
& right_apart_point(X1,line_connecting(X0,X2))
& ~ left_apart_point(X1,line_connecting(X2,X0)) )
=> ( distinct_points(sK0,sK2)
& right_apart_point(sK1,line_connecting(sK0,sK2))
& ~ left_apart_point(sK1,line_connecting(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1,X2] :
( distinct_points(X0,X2)
& right_apart_point(X1,line_connecting(X0,X2))
& ~ left_apart_point(X1,line_connecting(X2,X0)) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
? [X2,X0,X1] :
( distinct_points(X2,X1)
& right_apart_point(X0,line_connecting(X2,X1))
& ~ left_apart_point(X0,line_connecting(X1,X2)) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
? [X1,X2,X0] :
( ~ left_apart_point(X0,line_connecting(X1,X2))
& right_apart_point(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X1,X2,X0] :
( distinct_points(X2,X1)
=> ( right_apart_point(X0,line_connecting(X2,X1))
=> left_apart_point(X0,line_connecting(X1,X2)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X6,X5,X2] :
( distinct_points(X2,X5)
=> ( right_apart_point(X6,line_connecting(X2,X5))
=> left_apart_point(X6,line_connecting(X5,X2)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X6,X5,X2] :
( distinct_points(X2,X5)
=> ( right_apart_point(X6,line_connecting(X2,X5))
=> left_apart_point(X6,line_connecting(X5,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f182,plain,
! [X0,X1] : ~ right_apart_point(X1,X0),
inference(subsumption_resolution,[],[f137,f175]) ).
fof(f175,plain,
! [X0,X1] : ~ left_apart_point(X1,X0),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f137,plain,
! [X0,X1] :
( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( right_apart_point(X1,X0)
| ~ left_apart_point(X1,reverse_line(X0)) )
& ( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X1,X0] :
( ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) )
& ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_defns) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO244+3 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 21:56:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (32531)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (32537)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (32524)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)
% 0.19/0.48 % (32531)First to succeed.
% 0.19/0.48 TRYING [1]
% 0.19/0.48 % (32545)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.48 % (32537)Also succeeded, but the first one will report.
% 0.19/0.48 % (32531)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (32531)------------------------------
% 0.19/0.48 % (32531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (32531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (32531)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (32531)Memory used [KB]: 5500
% 0.19/0.48 % (32531)Time elapsed: 0.080 s
% 0.19/0.48 % (32531)Instructions burned: 3 (million)
% 0.19/0.48 % (32531)------------------------------
% 0.19/0.48 % (32531)------------------------------
% 0.19/0.48 % (32523)Success in time 0.141 s
%------------------------------------------------------------------------------