TSTP Solution File: GEO251+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO251+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_uns --cores 0 -t %d %s
% Computer : n019.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 16:09:31 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 18 ~; 7 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 29 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(unit_resulting_resolution,[],[f155,f151,f140]) ).
fof(f140,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) )
& ( right_apart_point(X0,X1)
| ~ left_apart_point(X0,reverse_line(X1)) ) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( ( left_apart_point(X1,reverse_line(X0))
| ~ right_apart_point(X1,X0) )
& ( right_apart_point(X1,X0)
| ~ left_apart_point(X1,reverse_line(X0)) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( left_apart_point(X1,reverse_line(X0))
<=> right_apart_point(X1,X0) ),
inference(rectify,[],[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) ).
fof(f151,plain,
right_apart_point(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ~ left_apart_point(sK0,parallel_through_point(sK2,sK1))
& right_apart_point(sK1,parallel_through_point(sK2,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f88,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X0,parallel_through_point(X2,X1))
& right_apart_point(X1,parallel_through_point(X2,X0)) )
=> ( ~ left_apart_point(sK0,parallel_through_point(sK2,sK1))
& right_apart_point(sK1,parallel_through_point(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X0,parallel_through_point(X2,X1))
& right_apart_point(X1,parallel_through_point(X2,X0)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X2,X1,X0] :
( right_apart_point(X1,parallel_through_point(X2,X0))
=> left_apart_point(X0,parallel_through_point(X2,X1)) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X3] :
( right_apart_point(X5,parallel_through_point(X3,X2))
=> left_apart_point(X2,parallel_through_point(X3,X5)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X3] :
( right_apart_point(X5,parallel_through_point(X3,X2))
=> left_apart_point(X2,parallel_through_point(X3,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f155,plain,
! [X0,X1] : ~ left_apart_point(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO251+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:37:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 % (9428)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (9420)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (9425)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.51 % (9429)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (9436)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (9436)First to succeed.
% 0.19/0.52 % (9420)Also succeeded, but the first one will report.
% 0.19/0.52 % (9417)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (9421)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.52 % (9436)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (9436)------------------------------
% 0.19/0.52 % (9436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9436)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (9436)Memory used [KB]: 1535
% 0.19/0.52 % (9436)Time elapsed: 0.104 s
% 0.19/0.52 % (9436)Instructions burned: 3 (million)
% 0.19/0.52 % (9436)------------------------------
% 0.19/0.52 % (9436)------------------------------
% 0.19/0.52 % (9412)Success in time 0.174 s
%------------------------------------------------------------------------------