TSTP Solution File: GEO247+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO247+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 : n014.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 16:09:30 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 92 ( 15 ~; 2 |; 71 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 52 ( 28 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(subsumption_resolution,[],[f166,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3,X2] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f166,plain,
left_apart_point(sK0,sK4),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( right_apart_point(sK5,sK1)
& ~ convergent_lines(sK4,sK1)
& right_apart_point(sK3,sK4)
& right_apart_point(sK2,sK1)
& left_apart_point(sK0,sK1)
& left_apart_point(sK5,sK4)
& left_apart_point(sK0,sK4)
& left_apart_point(sK3,sK1)
& right_apart_point(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f128,f129]) ).
fof(f129,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( right_apart_point(X5,X1)
& ~ convergent_lines(X4,X1)
& right_apart_point(X3,X4)
& right_apart_point(X2,X1)
& left_apart_point(X0,X1)
& left_apart_point(X5,X4)
& left_apart_point(X0,X4)
& left_apart_point(X3,X1)
& right_apart_point(X2,X4) )
=> ( right_apart_point(sK5,sK1)
& ~ convergent_lines(sK4,sK1)
& right_apart_point(sK3,sK4)
& right_apart_point(sK2,sK1)
& left_apart_point(sK0,sK1)
& left_apart_point(sK5,sK4)
& left_apart_point(sK0,sK4)
& left_apart_point(sK3,sK1)
& right_apart_point(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
? [X0,X1,X2,X3,X4,X5] :
( right_apart_point(X5,X1)
& ~ convergent_lines(X4,X1)
& right_apart_point(X3,X4)
& right_apart_point(X2,X1)
& left_apart_point(X0,X1)
& left_apart_point(X5,X4)
& left_apart_point(X0,X4)
& left_apart_point(X3,X1)
& right_apart_point(X2,X4) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
? [X4,X1,X3,X2,X5,X0] :
( right_apart_point(X0,X1)
& ~ convergent_lines(X5,X1)
& right_apart_point(X2,X5)
& right_apart_point(X3,X1)
& left_apart_point(X4,X1)
& left_apart_point(X0,X5)
& left_apart_point(X4,X5)
& left_apart_point(X2,X1)
& right_apart_point(X3,X5) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X1,X3,X0,X4,X2,X5] :
( ~ convergent_lines(X5,X1)
& right_apart_point(X0,X1)
& left_apart_point(X4,X5)
& left_apart_point(X4,X1)
& right_apart_point(X2,X5)
& right_apart_point(X3,X1)
& left_apart_point(X2,X1)
& left_apart_point(X0,X5)
& right_apart_point(X3,X5) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X1,X3,X0,X4,X2,X5] :
( ( right_apart_point(X0,X1)
& left_apart_point(X4,X5)
& left_apart_point(X4,X1)
& right_apart_point(X2,X5)
& right_apart_point(X3,X1)
& left_apart_point(X2,X1)
& left_apart_point(X0,X5)
& right_apart_point(X3,X5) )
=> convergent_lines(X5,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X6,X4,X8,X5,X2,X3] :
( ( right_apart_point(X5,X3)
& right_apart_point(X5,X4)
& right_apart_point(X6,X4)
& left_apart_point(X8,X4)
& left_apart_point(X6,X3)
& right_apart_point(X8,X3)
& left_apart_point(X2,X4)
& left_apart_point(X2,X3) )
=> convergent_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X6,X4,X8,X5,X2,X3] :
( ( right_apart_point(X5,X3)
& right_apart_point(X5,X4)
& right_apart_point(X6,X4)
& left_apart_point(X8,X4)
& left_apart_point(X6,X3)
& right_apart_point(X8,X3)
& left_apart_point(X2,X4)
& left_apart_point(X2,X3) )
=> convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:35:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.56 % (13482)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (13480)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.57 % (13482)First to succeed.
% 0.20/0.58 % (13482)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (13482)------------------------------
% 0.20/0.58 % (13482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (13482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (13482)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (13482)Memory used [KB]: 6012
% 0.20/0.58 % (13482)Time elapsed: 0.005 s
% 0.20/0.58 % (13482)Instructions burned: 2 (million)
% 0.20/0.58 % (13482)------------------------------
% 0.20/0.58 % (13482)------------------------------
% 0.20/0.58 % (13479)Success in time 0.223 s
%------------------------------------------------------------------------------