TSTP Solution File: GEO240+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO240+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 : 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 16:09:28 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 3 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 7 |; 11 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 28 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(unit_resulting_resolution,[],[f162,f143,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ right_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(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/sandbox/benchmark/theBenchmark.p',a2_defns) ).
fof(f143,plain,
right_apart_point(sK0,sK2),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( right_apart_point(sK0,sK2)
& ~ right_convergent_lines(sK2,line_connecting(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f118,f119]) ).
fof(f119,plain,
( ? [X0,X1,X2] :
( right_apart_point(X0,X2)
& ~ right_convergent_lines(X2,line_connecting(X1,X0)) )
=> ( right_apart_point(sK0,sK2)
& ~ right_convergent_lines(sK2,line_connecting(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
? [X0,X1,X2] :
( right_apart_point(X0,X2)
& ~ right_convergent_lines(X2,line_connecting(X1,X0)) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
? [X2,X1,X0] :
( right_apart_point(X2,X0)
& ~ right_convergent_lines(X0,line_connecting(X1,X2)) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
~ ! [X0,X1,X2] :
( right_apart_point(X2,X0)
=> right_convergent_lines(X0,line_connecting(X1,X2)) ),
inference(pure_predicate_removal,[],[f48]) ).
fof(f48,plain,
~ ! [X0,X1,X2] :
( ( right_apart_point(X2,X0)
& incident_point_and_line(X1,X0) )
=> right_convergent_lines(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X2,X5] :
( ( right_apart_point(X5,X3)
& incident_point_and_line(X2,X3) )
=> right_convergent_lines(X3,line_connecting(X2,X5)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X2,X5] :
( ( right_apart_point(X5,X3)
& incident_point_and_line(X2,X3) )
=> right_convergent_lines(X3,line_connecting(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f162,plain,
! [X0,X1] : ~ left_apart_point(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ left_apart_point(X1,X0)
& ~ left_apart_point(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,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,X3)
| left_apart_point(X2,reverse_line(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO240+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 20:57:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.48 % (25524)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.49 % (25532)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.49 % (25532)First to succeed.
% 0.21/0.49 % (25532)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (25532)------------------------------
% 0.21/0.49 % (25532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (25532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (25532)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (25532)Memory used [KB]: 6012
% 0.21/0.49 % (25532)Time elapsed: 0.075 s
% 0.21/0.49 % (25532)Instructions burned: 3 (million)
% 0.21/0.49 % (25532)------------------------------
% 0.21/0.49 % (25532)------------------------------
% 0.21/0.49 % (25503)Success in time 0.142 s
%------------------------------------------------------------------------------