TSTP Solution File: GEO246+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO246+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n009.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 16:12:27 EDT 2022
% Result : Theorem 0.76s 0.63s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 13 ~; 2 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 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 : 29 ( 17 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(subsumption_resolution,[],[f154,f141]) ).
fof(f141,plain,
! [X0,X1] : ~ left_apart_point(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ left_apart_point(X1,reverse_line(X0))
& ~ left_apart_point(X1,X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
~ ( left_apart_point(X1,X0)
| left_apart_point(X1,reverse_line(X0)) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f154,plain,
left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2))),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ~ left_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK2)
& left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f117,f118]) ).
fof(f118,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X1,X2)
& left_apart_point(X0,reverse_line(line_connecting(X1,X2))) )
=> ( ~ left_apart_point(sK2,line_connecting(sK1,sK0))
& distinct_points(sK1,sK2)
& left_apart_point(sK0,reverse_line(line_connecting(sK1,sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X2,line_connecting(X1,X0))
& distinct_points(X1,X2)
& left_apart_point(X0,reverse_line(line_connecting(X1,X2))) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
? [X2,X0,X1] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& distinct_points(X0,X1)
& left_apart_point(X2,reverse_line(line_connecting(X0,X1))) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
=> left_apart_point(X1,line_connecting(X0,X2)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X3,line_connecting(X0,X4)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X3,line_connecting(X0,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO246+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 21:31:35 EDT 2022
% 0.11/0.32 % CPUTime :
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% 0.76/0.62 % (20722)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 0.76/0.62 % (20722)First to succeed.
% 0.76/0.62 % (20730)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.76/0.63 % (20723)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.76/0.63 % (20722)Refutation found. Thanks to Tanya!
% 0.76/0.63 % SZS status Theorem for theBenchmark
% 0.76/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.76/0.63 % (20722)------------------------------
% 0.76/0.63 % (20722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.76/0.63 % (20722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.76/0.63 % (20722)Termination reason: Refutation
% 0.76/0.63
% 0.76/0.63 % (20722)Memory used [KB]: 1023
% 0.76/0.63 % (20722)Time elapsed: 0.004 s
% 0.76/0.63 % (20722)Instructions burned: 2 (million)
% 0.76/0.63 % (20722)------------------------------
% 0.76/0.63 % (20722)------------------------------
% 0.76/0.63 % (20528)Success in time 0.304 s
%------------------------------------------------------------------------------