TSTP Solution File: GEO194+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO194+1 : 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_sat --cores 0 -t %d %s
% Computer : n002.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 16:12:12 EDT 2022
% Result : Theorem 0.21s 0.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 9 unt; 0 def)
% Number of atoms : 179 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 204 ( 77 ~; 81 |; 32 &)
% ( 0 <=>; 14 =>; 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 : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(resolution,[],[f161,f60]) ).
fof(f60,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( convergent_lines(sK1,sK2)
& convergent_lines(sK1,sK0)
& apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X2,X0) )
=> ( convergent_lines(sK1,sK2)
& convergent_lines(sK1,sK0)
& apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& convergent_lines(X1,X0)
& apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X2,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X2,X0,X1] :
( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& apart_point_and_line(intersection_point(X0,X2),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X1,X2) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0,X2,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X1,X2)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X2,X1] :
( ( convergent_lines(X1,X2)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2) )
=> ( apart_point_and_line(intersection_point(X0,X2),X1)
=> apart_point_and_line(intersection_point(X0,X1),X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X0,X2),X1) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X2,X1] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1) )
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> apart_point_and_line(intersection_point(X0,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f161,plain,
~ convergent_lines(sK1,sK0),
inference(resolution,[],[f145,f72]) ).
fof(f72,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f145,plain,
! [X3] :
( convergent_lines(X3,sK1)
| ~ convergent_lines(X3,sK0) ),
inference(resolution,[],[f138,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( distinct_lines(X2,X0)
| convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f138,plain,
~ distinct_lines(sK0,sK1),
inference(resolution,[],[f135,f60]) ).
fof(f135,plain,
( ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK0,sK1) ),
inference(resolution,[],[f130,f61]) ).
fof(f61,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f130,plain,
( ~ convergent_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK1)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f128,f59]) ).
fof(f59,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f47]) ).
fof(f128,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| ~ convergent_lines(sK1,sK2)
| ~ convergent_lines(sK1,sK0)
| ~ distinct_lines(sK0,sK1) ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
( ~ convergent_lines(sK1,sK2)
| ~ convergent_lines(sK1,sK0)
| ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| ~ distinct_lines(sK0,sK1)
| ~ convergent_lines(sK1,sK2) ),
inference(resolution,[],[f119,f77]) ).
fof(f77,plain,
! [X6,X4,X5] :
( distinct_points(X4,intersection_point(X5,X6))
| ~ apart_point_and_line(X4,X6)
| ~ convergent_lines(X5,X6) ),
inference(resolution,[],[f64,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f64,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_points(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( apart_point_and_line(X0,X2)
| distinct_points(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
=> ( apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f119,plain,
( ~ distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK2))
| ~ distinct_lines(sK0,sK1)
| ~ convergent_lines(sK1,sK2)
| ~ convergent_lines(sK1,sK0) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
( ~ distinct_lines(sK0,sK1)
| ~ distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK2))
| ~ convergent_lines(sK1,sK2)
| ~ convergent_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f113,f69]) ).
fof(f113,plain,
! [X1] :
( apart_point_and_line(intersection_point(sK1,X1),sK0)
| ~ distinct_points(intersection_point(sK1,X1),intersection_point(sK1,sK2))
| ~ convergent_lines(sK1,X1)
| ~ distinct_lines(sK0,sK1)
| ~ convergent_lines(sK1,sK2) ),
inference(resolution,[],[f107,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f107,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sK1,sK2),X0)
| ~ distinct_points(intersection_point(X0,X1),intersection_point(sK1,sK2))
| ~ distinct_lines(sK0,X0)
| ~ convergent_lines(X0,X1)
| apart_point_and_line(intersection_point(X0,X1),sK0) ),
inference(resolution,[],[f101,f62]) ).
fof(f101,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
| ~ distinct_lines(sK0,X1)
| apart_point_and_line(X0,sK0)
| ~ distinct_points(X0,intersection_point(sK1,sK2))
| apart_point_and_line(intersection_point(sK1,sK2),X1) ),
inference(resolution,[],[f71,f58]) ).
fof(f58,plain,
~ apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X2,X3)
| ~ distinct_lines(X3,X0)
| apart_point_and_line(X2,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( 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)
| ~ distinct_lines(X3,X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X2,X3,X1,X0] :
( apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0)
| ~ distinct_points(X1,X3)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X2) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X1,X2,X0,X3] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_lines(X0,X2)
| ~ distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X2,X0,X3] :
( ( distinct_lines(X0,X2)
& distinct_points(X1,X3) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X0,X4,X1] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 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
% 0.13/0.34 % Computer : n002.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 21:39:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.53 % (15458)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (15458)Instruction limit reached!
% 0.21/0.55 % (15458)------------------------------
% 0.21/0.55 % (15458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (15458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (15458)Termination reason: Unknown
% 0.21/0.55 % (15458)Termination phase: Blocked clause elimination
% 0.21/0.55
% 0.21/0.55 % (15458)Memory used [KB]: 895
% 0.21/0.55 % (15458)Time elapsed: 0.003 s
% 0.21/0.55 % (15458)Instructions burned: 2 (million)
% 0.21/0.55 % (15458)------------------------------
% 0.21/0.55 % (15458)------------------------------
% 0.21/0.56 % (15474)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56 % (15466)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (15465)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)
% 0.21/0.58 % (15457)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58 % (15459)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.58 % (15459)First to succeed.
% 0.21/0.58 % (15455)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)
% 0.21/0.59 % (15473)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)
% 0.21/0.59 % (15457)Instruction limit reached!
% 0.21/0.59 % (15457)------------------------------
% 0.21/0.59 % (15457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (15460)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59 % (15454)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60 % (15461)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.60 % (15467)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.60 % (15457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (15457)Termination reason: Unknown
% 0.21/0.60 % (15457)Termination phase: Saturation
% 0.21/0.60
% 0.21/0.60 % (15457)Memory used [KB]: 5500
% 0.21/0.60 % (15457)Time elapsed: 0.115 s
% 0.21/0.60 % (15457)Instructions burned: 7 (million)
% 0.21/0.60 % (15457)------------------------------
% 0.21/0.60 % (15457)------------------------------
% 0.21/0.60 % (15451)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)
% 0.21/0.60 TRYING [1]
% 0.21/0.60 % (15451)Refutation not found, incomplete strategy% (15451)------------------------------
% 0.21/0.60 % (15451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (15451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (15451)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.60
% 0.21/0.60 % (15451)Memory used [KB]: 5373
% 0.21/0.60 % (15451)Time elapsed: 0.185 s
% 0.21/0.60 % (15451)Instructions burned: 2 (million)
% 0.21/0.60 % (15451)------------------------------
% 0.21/0.60 % (15451)------------------------------
% 0.21/0.60 TRYING [2]
% 0.21/0.60 TRYING [3]
% 0.21/0.60 % (15459)Refutation found. Thanks to Tanya!
% 0.21/0.60 % SZS status Theorem for theBenchmark
% 0.21/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60 % (15459)------------------------------
% 0.21/0.60 % (15459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (15459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (15459)Termination reason: Refutation
% 0.21/0.60
% 0.21/0.60 % (15459)Memory used [KB]: 1023
% 0.21/0.60 % (15459)Time elapsed: 0.168 s
% 0.21/0.60 % (15459)Instructions burned: 4 (million)
% 0.21/0.60 % (15459)------------------------------
% 0.21/0.60 % (15459)------------------------------
% 0.21/0.60 % (15449)Success in time 0.246 s
%------------------------------------------------------------------------------