TSTP Solution File: GEO261+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO261+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 : n022.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 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 28 ~; 19 |; 27 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 82 ( 62 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,plain,
$false,
inference(subsumption_resolution,[],[f204,f202]) ).
fof(f202,plain,
unequally_directed_lines(sK4,reverse_line(sK3)),
inference(unit_resulting_resolution,[],[f200,f157]) ).
fof(f157,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( unequally_directed_opposite_lines(X0,X1)
=> unequally_directed_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( unequally_directed_lines(X0,reverse_line(X1))
<=> unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f200,plain,
unequally_directed_opposite_lines(sK4,sK3),
inference(unit_resulting_resolution,[],[f169,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ( unequally_directed_opposite_lines(X1,X0)
& unequally_directed_lines(X1,X0) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ( unequally_directed_opposite_lines(X1,X0)
& unequally_directed_lines(X1,X0) ) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
<=> ( unequally_directed_opposite_lines(X1,X0)
& unequally_directed_lines(X1,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X3] :
( ( unequally_directed_opposite_lines(X3,X4)
& unequally_directed_lines(X3,X4) )
<=> convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a7_defns) ).
fof(f169,plain,
convergent_lines(sK4,sK3),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( between_on_line(sK4,sK2,sK0,sK1)
& convergent_lines(sK4,sK3)
& ~ divides_points(sK3,sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f134,f135]) ).
fof(f135,plain,
( ? [X0,X1,X2,X3,X4] :
( between_on_line(X4,X2,X0,X1)
& convergent_lines(X4,X3)
& ~ divides_points(X3,X2,X1) )
=> ( between_on_line(sK4,sK2,sK0,sK1)
& convergent_lines(sK4,sK3)
& ~ divides_points(sK3,sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0,X1,X2,X3,X4] :
( between_on_line(X4,X2,X0,X1)
& convergent_lines(X4,X3)
& ~ divides_points(X3,X2,X1) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
? [X2,X4,X3,X0,X1] :
( between_on_line(X1,X3,X2,X4)
& convergent_lines(X1,X0)
& ~ divides_points(X0,X3,X4) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X2,X0,X3,X4,X1] :
( ~ divides_points(X0,X3,X4)
& convergent_lines(X1,X0)
& between_on_line(X1,X3,X2,X4) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
~ ! [X2,X0,X3,X4,X1] :
( ( convergent_lines(X1,X0)
& between_on_line(X1,X3,X2,X4) )
=> divides_points(X0,X3,X4) ),
inference(pure_predicate_removal,[],[f39]) ).
fof(f39,plain,
~ ! [X2,X0,X3,X4,X1] :
( ( incident_point_and_line(X2,X0)
& convergent_lines(X1,X0)
& between_on_line(X1,X3,X2,X4) )
=> divides_points(X0,X3,X4) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X4,X3,X5,X2,X6] :
( ( between_on_line(X3,X2,X5,X6)
& convergent_lines(X3,X4)
& incident_point_and_line(X5,X4) )
=> divides_points(X4,X2,X6) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X4,X3,X5,X2,X6] :
( ( between_on_line(X3,X2,X5,X6)
& convergent_lines(X3,X4)
& incident_point_and_line(X5,X4) )
=> divides_points(X4,X2,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f204,plain,
~ unequally_directed_lines(sK4,reverse_line(sK3)),
inference(unit_resulting_resolution,[],[f187,f186,f201,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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(flattening,[],[f112]) ).
fof(f112,plain,
! [X1,X0] :
( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
=> ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X3] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f201,plain,
unequally_directed_lines(sK4,sK3),
inference(unit_resulting_resolution,[],[f169,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f186,plain,
! [X0,X1] : ~ left_convergent_lines(X1,reverse_line(X0)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ left_convergent_lines(X1,X0)
& ~ left_convergent_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
~ ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
fof(f187,plain,
! [X0,X1] : ~ left_convergent_lines(X1,X0),
inference(cnf_transformation,[],[f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 : n022.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 21:34:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (15623)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.56 % (15622)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.57 % (15623)Instruction limit reached!
% 0.20/0.57 % (15623)------------------------------
% 0.20/0.57 % (15623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (15616)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (15616)Refutation not found, incomplete strategy% (15616)------------------------------
% 0.20/0.57 % (15616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (15616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (15616)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (15616)Memory used [KB]: 5884
% 0.20/0.57 % (15616)Time elapsed: 0.003 s
% 0.20/0.57 % (15616)Instructions burned: 1 (million)
% 0.20/0.57 % (15616)------------------------------
% 0.20/0.57 % (15616)------------------------------
% 0.20/0.57 % (15623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (15623)Termination reason: Unknown
% 0.20/0.57 % (15623)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (15623)Memory used [KB]: 6140
% 0.20/0.57 % (15623)Time elapsed: 0.144 s
% 0.20/0.57 % (15623)Instructions burned: 12 (million)
% 0.20/0.57 % (15623)------------------------------
% 0.20/0.57 % (15623)------------------------------
% 0.20/0.58 % (15635)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)
% 0.20/0.58 % (15622)First to succeed.
% 0.20/0.58 % (15622)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (15622)------------------------------
% 0.20/0.58 % (15622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (15622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (15622)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (15622)Memory used [KB]: 6012
% 0.20/0.58 % (15622)Time elapsed: 0.149 s
% 0.20/0.58 % (15622)Instructions burned: 4 (million)
% 0.20/0.58 % (15622)------------------------------
% 0.20/0.58 % (15622)------------------------------
% 0.20/0.58 % (15612)Success in time 0.233 s
%------------------------------------------------------------------------------