TSTP Solution File: GEO198+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : n025.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 16:09:08 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 145 ( 49 ~; 49 |; 34 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 81 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f145,plain,
$false,
inference(subsumption_resolution,[],[f144,f92]) ).
fof(f92,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(unit_resulting_resolution,[],[f57,f53,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ apart_point_and_line(X0,X1)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| ~ convergent_lines(X2,X1)
| distinct_points(X0,intersection_point(X2,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X1,X2)
| distinct_points(X0,intersection_point(X1,X2)) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) )
=> distinct_points(X0,intersection_point(X1,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f53,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( convergent_lines(sK0,sK2)
& convergent_lines(sK1,sK2)
& ~ apart_point_and_line(intersection_point(sK0,sK2),sK1)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f28,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2] :
( convergent_lines(X0,X2)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X0,X1),X2) )
=> ( convergent_lines(sK0,sK2)
& convergent_lines(sK1,sK2)
& ~ apart_point_and_line(intersection_point(sK0,sK2),sK1)
& convergent_lines(sK0,sK1)
& apart_point_and_line(intersection_point(sK0,sK1),sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2] :
( convergent_lines(X0,X2)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X1)
& apart_point_and_line(intersection_point(X0,X1),X2) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X1,X0,X2] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X1,X2) )
=> ~ apart_point_and_line(intersection_point(X0,X1),X2) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X2) )
=> ~ apart_point_and_line(intersection_point(X0,X2),X1) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X2) )
=> ~ apart_point_and_line(intersection_point(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f57,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f43]) ).
fof(f144,plain,
~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(unit_resulting_resolution,[],[f66,f70,f82,f55,f76,f49]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X0)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X3)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X3,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X3) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0,X3] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X3,X1)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X2,X3) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X3,X2,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X0,X2)
| ~ distinct_lines(X3,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X3,X2,X1] :
( ( distinct_points(X0,X2)
& distinct_lines(X3,X1) )
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X0,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X1,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f76,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f65,f57,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ apart_point_and_line(X0,X2)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f65,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f55,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f82,plain,
distinct_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f64,f67,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X2,X0)
| distinct_lines(X1,X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X0)
| distinct_lines(X2,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f67,plain,
distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f54,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f54,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f70,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f65,f54,f61]) ).
fof(f66,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f65,f54,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:39:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (26299)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.47 % (26291)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.48 % (26276)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.48 % (26286)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)
% 0.18/0.48 % (26302)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48 % (26285)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)
% 0.18/0.48 % (26301)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.48 % (26294)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (26293)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.49 % (26283)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.49 % (26293)Instruction limit reached!
% 0.18/0.49 % (26293)------------------------------
% 0.18/0.49 % (26293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26291)Instruction limit reached!
% 0.18/0.49 % (26291)------------------------------
% 0.18/0.49 % (26291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26291)Termination reason: Unknown
% 0.18/0.49 % (26291)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (26291)Memory used [KB]: 5884
% 0.18/0.49 % (26291)Time elapsed: 0.076 s
% 0.18/0.49 % (26291)Instructions burned: 8 (million)
% 0.18/0.49 % (26291)------------------------------
% 0.18/0.49 % (26291)------------------------------
% 0.18/0.49 % (26293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26293)Termination reason: Unknown
% 0.18/0.49 % (26293)Termination phase: Finite model building preprocessing
% 0.18/0.49
% 0.18/0.49 % (26293)Memory used [KB]: 5884
% 0.18/0.49 % (26293)Time elapsed: 0.003 s
% 0.18/0.49 % (26293)Instructions burned: 3 (million)
% 0.18/0.49 % (26293)------------------------------
% 0.18/0.49 % (26293)------------------------------
% 0.18/0.49 % (26276)Instruction limit reached!
% 0.18/0.49 % (26276)------------------------------
% 0.18/0.49 % (26276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26286)Instruction limit reached!
% 0.18/0.49 % (26286)------------------------------
% 0.18/0.49 % (26286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26294)Instruction limit reached!
% 0.18/0.49 % (26294)------------------------------
% 0.18/0.49 % (26294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26285)First to succeed.
% 0.18/0.49 % (26294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26294)Termination reason: Unknown
% 0.18/0.49 % (26294)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (26294)Memory used [KB]: 5884
% 0.18/0.49 % (26294)Time elapsed: 0.109 s
% 0.18/0.49 % (26294)Instructions burned: 3 (million)
% 0.18/0.49 % (26294)------------------------------
% 0.18/0.49 % (26294)------------------------------
% 0.18/0.49 % (26278)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)
% 0.18/0.49 % (26276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26285)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (26285)------------------------------
% 0.18/0.49 % (26285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (26285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (26285)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (26285)Memory used [KB]: 6012
% 0.18/0.49 % (26285)Time elapsed: 0.112 s
% 0.18/0.49 % (26285)Instructions burned: 4 (million)
% 0.18/0.49 % (26285)------------------------------
% 0.18/0.49 % (26285)------------------------------
% 0.18/0.49 % (26270)Success in time 0.153 s
%------------------------------------------------------------------------------