TSTP Solution File: GEO261+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO261+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_uns --cores 0 -t %d %s
% Computer : n007.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 16:09:35 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 102 ( 39 ~; 22 |; 32 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 71 ( 51 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f198,plain,
$false,
inference(subsumption_resolution,[],[f197,f182]) ).
fof(f182,plain,
unequally_directed_lines(sK2,sK0),
inference(resolution,[],[f173,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con_def) ).
fof(f173,plain,
convergent_lines(sK2,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ~ divides_points(sK0,sK4,sK1)
& convergent_lines(sK2,sK0)
& ~ apart_point_and_line(sK3,sK0)
& between_on_line(sK2,sK4,sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f123,f124]) ).
fof(f124,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ divides_points(X0,X4,X1)
& convergent_lines(X2,X0)
& ~ apart_point_and_line(X3,X0)
& between_on_line(X2,X4,X3,X1) )
=> ( ~ divides_points(sK0,sK4,sK1)
& convergent_lines(sK2,sK0)
& ~ apart_point_and_line(sK3,sK0)
& between_on_line(sK2,sK4,sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
? [X0,X1,X2,X3,X4] :
( ~ divides_points(X0,X4,X1)
& convergent_lines(X2,X0)
& ~ apart_point_and_line(X3,X0)
& between_on_line(X2,X4,X3,X1) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
? [X0,X3,X4,X2,X1] :
( ~ divides_points(X0,X1,X3)
& convergent_lines(X4,X0)
& ~ apart_point_and_line(X2,X0)
& between_on_line(X4,X1,X2,X3) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0,X4,X2,X3,X1] :
( ~ divides_points(X0,X1,X3)
& ~ apart_point_and_line(X2,X0)
& between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X0,X4,X2,X3,X1] :
( ( ~ apart_point_and_line(X2,X0)
& between_on_line(X4,X1,X2,X3)
& convergent_lines(X4,X0) )
=> divides_points(X0,X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X2,X0,X3,X4,X1] :
( ( convergent_lines(X1,X2)
& ~ apart_point_and_line(X3,X2)
& between_on_line(X1,X0,X3,X4) )
=> divides_points(X2,X0,X4) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X2,X0,X3,X4,X1] :
( ( convergent_lines(X1,X2)
& ~ apart_point_and_line(X3,X2)
& between_on_line(X1,X0,X3,X4) )
=> divides_points(X2,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f197,plain,
~ unequally_directed_lines(sK2,sK0),
inference(subsumption_resolution,[],[f196,f130]) ).
fof(f130,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,X1)
& ~ left_convergent_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X2,X1] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f196,plain,
( left_convergent_lines(sK2,reverse_line(sK0))
| ~ unequally_directed_lines(sK2,sK0) ),
inference(subsumption_resolution,[],[f190,f131]) ).
fof(f131,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f109]) ).
fof(f190,plain,
( left_convergent_lines(sK2,sK0)
| ~ unequally_directed_lines(sK2,sK0)
| left_convergent_lines(sK2,reverse_line(sK0)) ),
inference(resolution,[],[f183,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ~ unequally_directed_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
=> ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X2,X1] :
( ( unequally_directed_lines(X1,X2)
& unequally_directed_lines(X1,reverse_line(X2)) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
fof(f183,plain,
unequally_directed_lines(sK2,reverse_line(sK0)),
inference(resolution,[],[f173,f152]) ).
fof(f152,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.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 21:18:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.53 % (22221)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (22229)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (22229)Instruction limit reached!
% 0.20/0.54 % (22229)------------------------------
% 0.20/0.54 % (22229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22229)Termination reason: Unknown
% 0.20/0.56 % (22229)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (22229)Memory used [KB]: 6012
% 0.20/0.56 % (22229)Time elapsed: 0.004 s
% 0.20/0.56 % (22229)Instructions burned: 3 (million)
% 0.20/0.56 % (22229)------------------------------
% 0.20/0.56 % (22229)------------------------------
% 0.20/0.56 % (22237)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56 % (22219)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.57 % (22227)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.57 % (22227)First to succeed.
% 0.20/0.57 % (22227)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (22227)------------------------------
% 0.20/0.57 % (22227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (22227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (22227)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (22227)Memory used [KB]: 1535
% 0.20/0.57 % (22227)Time elapsed: 0.148 s
% 0.20/0.57 % (22227)Instructions burned: 3 (million)
% 0.20/0.57 % (22227)------------------------------
% 0.20/0.57 % (22227)------------------------------
% 0.20/0.57 % (22214)Success in time 0.213 s
%------------------------------------------------------------------------------