TSTP Solution File: GEO243+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO243+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 : n017.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 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 38 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 2 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 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 : 29 ( 17 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f176,plain,
$false,
inference(subsumption_resolution,[],[f169,f149]) ).
fof(f149,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
fof(f169,plain,
left_apart_point(sK2,sF4),
inference(definition_folding,[],[f150,f168]) ).
fof(f168,plain,
line_connecting(sK0,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f150,plain,
left_apart_point(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( distinct_points(sK0,sK1)
& ~ right_apart_point(sK2,line_connecting(sK1,sK0))
& left_apart_point(sK2,line_connecting(sK0,sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f122,f123]) ).
fof(f123,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X1)
& ~ right_apart_point(X2,line_connecting(X1,X0))
& left_apart_point(X2,line_connecting(X0,X1)) )
=> ( distinct_points(sK0,sK1)
& ~ right_apart_point(sK2,line_connecting(sK1,sK0))
& left_apart_point(sK2,line_connecting(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0,X1,X2] :
( distinct_points(X0,X1)
& ~ right_apart_point(X2,line_connecting(X1,X0))
& left_apart_point(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
? [X0,X2,X1] :
( distinct_points(X0,X2)
& ~ right_apart_point(X1,line_connecting(X2,X0))
& left_apart_point(X1,line_connecting(X0,X2)) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
? [X1,X2,X0] :
( ~ right_apart_point(X1,line_connecting(X2,X0))
& left_apart_point(X1,line_connecting(X0,X2))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X1,X2,X0] :
( distinct_points(X0,X2)
=> ( left_apart_point(X1,line_connecting(X0,X2))
=> right_apart_point(X1,line_connecting(X2,X0)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X6,X5] :
( distinct_points(X2,X5)
=> ( left_apart_point(X6,line_connecting(X2,X5))
=> right_apart_point(X6,line_connecting(X5,X2)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X6,X5] :
( distinct_points(X2,X5)
=> ( left_apart_point(X6,line_connecting(X2,X5))
=> right_apart_point(X6,line_connecting(X5,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO243+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
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 20:57:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 % (27266)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.48 % (27250)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.48 % (27250)First to succeed.
% 0.20/0.49 % (27250)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (27250)------------------------------
% 0.20/0.49 % (27250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (27250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (27250)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (27250)Memory used [KB]: 5500
% 0.20/0.49 % (27250)Time elapsed: 0.005 s
% 0.20/0.49 % (27250)Instructions burned: 3 (million)
% 0.20/0.49 % (27250)------------------------------
% 0.20/0.49 % (27250)------------------------------
% 0.20/0.49 % (27237)Success in time 0.131 s
%------------------------------------------------------------------------------