TSTP Solution File: GEO186+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO186+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 : n004.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 16:12:09 EDT 2022
% Result : Theorem 1.44s 0.54s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 13 unt; 0 def)
% Number of atoms : 150 ( 1 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 162 ( 61 ~; 55 |; 35 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 93 ( 77 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f123,f67]) ).
fof(f67,plain,
~ apart_point_and_line(sK3,sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( distinct_points(sK3,sK2)
& distinct_points(sK3,intersection_point(sK0,sK1))
& ~ apart_point_and_line(sK3,sK0)
& ~ apart_point_and_line(sK3,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X3,X2)
& distinct_points(X3,intersection_point(X0,X1))
& ~ apart_point_and_line(X3,X0)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X0,X1) )
=> ( distinct_points(sK3,sK2)
& distinct_points(sK3,intersection_point(sK0,sK1))
& ~ apart_point_and_line(sK3,sK0)
& ~ apart_point_and_line(sK3,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2,X3] :
( distinct_points(X3,X2)
& distinct_points(X3,intersection_point(X0,X1))
& ~ apart_point_and_line(X3,X0)
& ~ apart_point_and_line(X3,X1)
& convergent_lines(X0,X1) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
? [X1,X2,X0,X3] :
( distinct_points(X3,X0)
& distinct_points(X3,intersection_point(X1,X2))
& ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
? [X1,X2,X0,X3] :
( distinct_points(X3,intersection_point(X1,X2))
& ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(X3,X1)
& distinct_points(X3,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X1,X2,X0,X3] :
( ( ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& ~ apart_point_and_line(X3,X1)
& distinct_points(X3,X0) )
=> ~ distinct_points(X3,intersection_point(X1,X2)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X3,X4,X0] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X4)
& convergent_lines(X3,X4)
& ~ apart_point_and_line(X0,X3) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X3,X4,X0] :
( ( distinct_points(X0,X1)
& ~ apart_point_and_line(X0,X4)
& convergent_lines(X3,X4)
& ~ apart_point_and_line(X0,X3) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f123,plain,
apart_point_and_line(sK3,sK0),
inference(subsumption_resolution,[],[f122,f79]) ).
fof(f79,plain,
~ apart_point_and_line(sF4,sK1),
inference(subsumption_resolution,[],[f78,f65]) ).
fof(f65,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f78,plain,
( ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(sF4,sK1) ),
inference(superposition,[],[f62,f74]) ).
fof(f74,plain,
intersection_point(sK0,sK1) = sF4,
introduced(function_definition,[]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[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(f122,plain,
( apart_point_and_line(sF4,sK1)
| apart_point_and_line(sK3,sK0) ),
inference(subsumption_resolution,[],[f121,f66]) ).
fof(f66,plain,
~ apart_point_and_line(sK3,sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f121,plain,
( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK3,sK0)
| apart_point_and_line(sF4,sK1) ),
inference(subsumption_resolution,[],[f115,f77]) ).
fof(f77,plain,
~ apart_point_and_line(sF4,sK0),
inference(subsumption_resolution,[],[f76,f65]) ).
fof(f76,plain,
( ~ apart_point_and_line(sF4,sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(superposition,[],[f61,f74]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f115,plain,
( apart_point_and_line(sF4,sK0)
| apart_point_and_line(sF4,sK1)
| apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK3,sK0) ),
inference(resolution,[],[f111,f81]) ).
fof(f81,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f80,f70]) ).
fof(f70,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(f80,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f59,f65]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| distinct_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( convergent_lines(X2,X0)
=> ( distinct_lines(X0,X1)
| convergent_lines(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f111,plain,
! [X2,X3] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(sF4,X3)
| apart_point_and_line(sK3,X2)
| apart_point_and_line(sK3,X3)
| apart_point_and_line(sF4,X2) ),
inference(resolution,[],[f55,f75]) ).
fof(f75,plain,
distinct_points(sK3,sF4),
inference(definition_folding,[],[f68,f74]) ).
fof(f68,plain,
distinct_points(sK3,intersection_point(sK0,sK1)),
inference(cnf_transformation,[],[f52]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X0)
| ~ distinct_points(X2,X1)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X3,X0) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X3,X0)
| ~ distinct_points(X3,X2)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X3,X1] :
( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X3,X2)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X2,X3,X1] :
( ( distinct_points(X3,X2)
& distinct_lines(X1,X0) )
=> ( apart_point_and_line(X3,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X4,X3,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 21:22:35 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.19/0.51 % (30525)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.51 % (30506)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 (3000ds/51Mi)
% 0.19/0.51 % (30520)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 (3000ds/467Mi)
% 0.19/0.52 % (30509)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52 % (30507)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.44/0.52 % (30504)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.44/0.53 % (30512)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 (3000ds/75Mi)
% 1.44/0.53 % (30512)First to succeed.
% 1.44/0.53 % (30515)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.44/0.53 % (30508)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.44/0.53 % (30501)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.44/0.53 % (30498)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.44/0.53 % (30498)Refutation not found, incomplete strategy% (30498)------------------------------
% 1.44/0.53 % (30498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.53 % (30498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.53 % (30498)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.53
% 1.44/0.53 % (30498)Memory used [KB]: 5373
% 1.44/0.53 % (30498)Time elapsed: 0.130 s
% 1.44/0.53 % (30498)Instructions burned: 2 (million)
% 1.44/0.53 % (30498)------------------------------
% 1.44/0.53 % (30498)------------------------------
% 1.44/0.53 % (30517)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.44/0.53 % (30504)Instruction limit reached!
% 1.44/0.53 % (30504)------------------------------
% 1.44/0.53 % (30504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (30506)Also succeeded, but the first one will report.
% 1.44/0.54 % (30504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (30504)Termination reason: Unknown
% 1.44/0.54 % (30504)Termination phase: Saturation
% 1.44/0.54
% 1.44/0.54 % (30504)Memory used [KB]: 5500
% 1.44/0.54 % (30504)Time elapsed: 0.108 s
% 1.44/0.54 % (30504)Instructions burned: 7 (million)
% 1.44/0.54 % (30504)------------------------------
% 1.44/0.54 % (30504)------------------------------
% 1.44/0.54 % (30512)Refutation found. Thanks to Tanya!
% 1.44/0.54 % SZS status Theorem for theBenchmark
% 1.44/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.54 % (30512)------------------------------
% 1.44/0.54 % (30512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (30512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (30512)Termination reason: Refutation
% 1.44/0.54
% 1.44/0.54 % (30512)Memory used [KB]: 1023
% 1.44/0.54 % (30512)Time elapsed: 0.113 s
% 1.44/0.54 % (30512)Instructions burned: 3 (million)
% 1.44/0.54 % (30512)------------------------------
% 1.44/0.54 % (30512)------------------------------
% 1.44/0.54 % (30496)Success in time 0.194 s
%------------------------------------------------------------------------------