TSTP Solution File: GEO239+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO239+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 : n004.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 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 13 ~; 2 |; 9 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 29 ( 20 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(resolution,[],[f146,f161]) ).
fof(f161,plain,
left_apart_point(sK1,sK2),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ~ left_convergent_lines(sK2,line_connecting(sK0,sK1))
& left_apart_point(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1,X2] :
( ~ left_convergent_lines(X2,line_connecting(X0,X1))
& left_apart_point(X1,X2) )
=> ( ~ left_convergent_lines(sK2,line_connecting(sK0,sK1))
& left_apart_point(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0,X1,X2] :
( ~ left_convergent_lines(X2,line_connecting(X0,X1))
& left_apart_point(X1,X2) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
? [X0,X2,X1] :
( ~ left_convergent_lines(X1,line_connecting(X0,X2))
& left_apart_point(X2,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
~ ! [X2,X1,X0] :
( left_apart_point(X2,X1)
=> left_convergent_lines(X1,line_connecting(X0,X2)) ),
inference(pure_predicate_removal,[],[f40]) ).
fof(f40,plain,
~ ! [X2,X1,X0] :
( ( left_apart_point(X2,X1)
& incident_point_and_line(X0,X1) )
=> left_convergent_lines(X1,line_connecting(X0,X2)) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X3,X5] :
( ( left_apart_point(X5,X3)
& incident_point_and_line(X2,X3) )
=> left_convergent_lines(X3,line_connecting(X2,X5)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X3,X5] :
( ( left_apart_point(X5,X3)
& incident_point_and_line(X2,X3) )
=> left_convergent_lines(X3,line_connecting(X2,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f146,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,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,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO239+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:29:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (1325)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.50 % (1317)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (1325)First to succeed.
% 0.21/0.51 % (1309)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (1325)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (1325)------------------------------
% 0.21/0.51 % (1325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (1325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (1325)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (1325)Memory used [KB]: 1023
% 0.21/0.51 % (1325)Time elapsed: 0.051 s
% 0.21/0.51 % (1325)Instructions burned: 3 (million)
% 0.21/0.51 % (1325)------------------------------
% 0.21/0.51 % (1325)------------------------------
% 0.21/0.51 % (1302)Success in time 0.156 s
%------------------------------------------------------------------------------