TSTP Solution File: GEO261+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n026.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 16:12:30 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 93 ( 33 ~; 22 |; 26 &)
% ( 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 : 86 ( 66 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f238,plain,
$false,
inference(subsumption_resolution,[],[f237,f205]) ).
fof(f205,plain,
unequally_directed_lines(sK1,sK4),
inference(resolution,[],[f152,f187]) ).
fof(f187,plain,
convergent_lines(sK1,sK4),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( between_on_line(sK1,sK3,sK0,sK2)
& convergent_lines(sK1,sK4)
& ~ divides_points(sK4,sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f139,f140]) ).
fof(f140,plain,
( ? [X0,X1,X2,X3,X4] :
( between_on_line(X1,X3,X0,X2)
& convergent_lines(X1,X4)
& ~ divides_points(X4,X3,X2) )
=> ( between_on_line(sK1,sK3,sK0,sK2)
& convergent_lines(sK1,sK4)
& ~ divides_points(sK4,sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
? [X0,X1,X2,X3,X4] :
( between_on_line(X1,X3,X0,X2)
& convergent_lines(X1,X4)
& ~ divides_points(X4,X3,X2) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
? [X4,X2,X0,X1,X3] :
( between_on_line(X2,X1,X4,X0)
& convergent_lines(X2,X3)
& ~ divides_points(X3,X1,X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
? [X1,X0,X4,X2,X3] :
( ~ divides_points(X3,X1,X0)
& between_on_line(X2,X1,X4,X0)
& convergent_lines(X2,X3) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,plain,
~ ! [X1,X0,X4,X2,X3] :
( ( between_on_line(X2,X1,X4,X0)
& convergent_lines(X2,X3) )
=> divides_points(X3,X1,X0) ),
inference(pure_predicate_removal,[],[f64]) ).
fof(f64,plain,
~ ! [X1,X0,X4,X2,X3] :
( ( between_on_line(X2,X1,X4,X0)
& incident_point_and_line(X4,X3)
& convergent_lines(X2,X3) )
=> divides_points(X3,X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X6,X2,X3,X4,X5] :
( ( between_on_line(X3,X2,X5,X6)
& incident_point_and_line(X5,X4)
& convergent_lines(X3,X4) )
=> divides_points(X4,X2,X6) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X6,X2,X3,X4,X5] :
( ( between_on_line(X3,X2,X5,X6)
& incident_point_and_line(X5,X4)
& convergent_lines(X3,X4) )
=> divides_points(X4,X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f152,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4] :
( ( unequally_directed_opposite_lines(X3,X4)
& unequally_directed_lines(X3,X4) )
<=> convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_defns) ).
fof(f237,plain,
~ unequally_directed_lines(sK1,sK4),
inference(resolution,[],[f236,f206]) ).
fof(f206,plain,
unequally_directed_opposite_lines(sK1,sK4),
inference(resolution,[],[f153,f187]) ).
fof(f153,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f236,plain,
! [X2,X3] :
( ~ unequally_directed_opposite_lines(X2,X3)
| ~ unequally_directed_lines(X2,X3) ),
inference(resolution,[],[f204,f156]) ).
fof(f156,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,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/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
fof(f204,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f203,f150]) ).
fof(f150,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
~ ( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f203,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1)) ),
inference(subsumption_resolution,[],[f182,f149]) ).
fof(f149,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f107]) ).
fof(f182,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,X4)
& unequally_directed_lines(X3,reverse_line(X4)) )
=> ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % 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 : n026.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 21:47:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (8491)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (8508)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)
% 0.20/0.50 % (8494)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (8494)Instruction limit reached!
% 0.20/0.50 % (8494)------------------------------
% 0.20/0.50 % (8494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (8494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (8494)Termination reason: Unknown
% 0.20/0.50 % (8494)Termination phase: Unused predicate definition removal
% 0.20/0.50
% 0.20/0.50 % (8494)Memory used [KB]: 895
% 0.20/0.50 % (8494)Time elapsed: 0.002 s
% 0.20/0.50 % (8494)Instructions burned: 2 (million)
% 0.20/0.50 % (8494)------------------------------
% 0.20/0.50 % (8494)------------------------------
% 0.20/0.51 % (8509)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (8501)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (8500)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)
% 0.20/0.51 % (8487)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (8509)First to succeed.
% 0.20/0.51 % (8493)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (8501)Also succeeded, but the first one will report.
% 0.20/0.52 % (8509)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (8509)------------------------------
% 0.20/0.52 % (8509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (8509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (8509)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (8509)Memory used [KB]: 5500
% 0.20/0.52 % (8509)Time elapsed: 0.066 s
% 0.20/0.52 % (8509)Instructions burned: 4 (million)
% 0.20/0.52 % (8509)------------------------------
% 0.20/0.52 % (8509)------------------------------
% 0.20/0.52 % (8485)Success in time 0.158 s
%------------------------------------------------------------------------------