TSTP Solution File: GEO192+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO192+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 : 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 16:12:11 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 113 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 111 ( 45 ~; 37 |; 15 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 64 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f328,plain,
$false,
inference(subsumption_resolution,[],[f322,f150]) ).
fof(f150,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(f322,plain,
distinct_lines(sK0,sK0),
inference(resolution,[],[f241,f298]) ).
fof(f298,plain,
~ distinct_lines(sK1,sK0),
inference(subsumption_resolution,[],[f292,f150]) ).
fof(f292,plain,
( distinct_lines(sK0,sK0)
| ~ distinct_lines(sK1,sK0) ),
inference(resolution,[],[f235,f145]) ).
fof(f145,plain,
( ~ distinct_lines(sK2,sK0)
| ~ distinct_lines(sK1,sK0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ~ distinct_lines(sK2,sK0)
| ~ distinct_lines(sK1,sK0) )
& apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f111,f112]) ).
fof(f112,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(X2,X0)
| ~ distinct_lines(X1,X0) )
& apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2) )
=> ( ( ~ distinct_lines(sK2,sK0)
| ~ distinct_lines(sK1,sK0) )
& apart_point_and_line(intersection_point(sK1,sK2),sK0)
& convergent_lines(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X2,X0)
| ~ distinct_lines(X1,X0) )
& apart_point_and_line(intersection_point(X1,X2),X0)
& convergent_lines(X1,X2) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
? [X1,X0,X2] :
( ( ~ distinct_lines(X2,X1)
| ~ distinct_lines(X0,X1) )
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X2,X1,X0] :
( ( ~ distinct_lines(X2,X1)
| ~ distinct_lines(X0,X1) )
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
~ ! [X2,X1,X0] :
( convergent_lines(X0,X2)
=> ( apart_point_and_line(intersection_point(X0,X2),X1)
=> ( distinct_lines(X2,X1)
& distinct_lines(X0,X1) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X1,X2)
& distinct_lines(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f235,plain,
! [X1] :
( distinct_lines(sK2,X1)
| distinct_lines(sK0,X1) ),
inference(resolution,[],[f224,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| ~ distinct_lines(X1,X0)
| distinct_lines(X1,X2) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X2,X1] :
( distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0)
| distinct_lines(X2,X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X1)
| distinct_lines(X0,X1)
| ~ distinct_lines(X2,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X0)
=> ( distinct_lines(X2,X1)
| distinct_lines(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f224,plain,
distinct_lines(sK0,sK2),
inference(resolution,[],[f218,f191]) ).
fof(f191,plain,
~ apart_point_and_line(sF3,sK2),
inference(subsumption_resolution,[],[f190,f143]) ).
fof(f143,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f190,plain,
( ~ convergent_lines(sK1,sK2)
| ~ apart_point_and_line(sF3,sK2) ),
inference(superposition,[],[f155,f183]) ).
fof(f183,plain,
sF3 = intersection_point(sK1,sK2),
introduced(function_definition,[]) ).
fof(f155,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( 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(f218,plain,
! [X0] :
( apart_point_and_line(sF3,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f154,f184]) ).
fof(f184,plain,
apart_point_and_line(sF3,sK0),
inference(definition_folding,[],[f144,f183]) ).
fof(f144,plain,
apart_point_and_line(intersection_point(sK1,sK2),sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X1,X2,X0] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f241,plain,
! [X1] :
( distinct_lines(sK1,X1)
| distinct_lines(sK0,X1) ),
inference(resolution,[],[f225,f153]) ).
fof(f225,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f218,f193]) ).
fof(f193,plain,
~ apart_point_and_line(sF3,sK1),
inference(subsumption_resolution,[],[f192,f143]) ).
fof(f192,plain,
( ~ apart_point_and_line(sF3,sK1)
| ~ convergent_lines(sK1,sK2) ),
inference(superposition,[],[f173,f183]) ).
fof(f173,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:38:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (14278)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)
% 0.20/0.49 % (14273)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (14265)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (14278)First to succeed.
% 0.20/0.50 % (14284)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (14272)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)
% 0.20/0.51 % (14286)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 % (14292)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.51 % (14267)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (14271)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (14271)Instruction limit reached!
% 0.20/0.52 % (14271)------------------------------
% 0.20/0.52 % (14271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14271)Termination reason: Unknown
% 0.20/0.52 % (14271)Termination phase: Blocked clause elimination
% 0.20/0.52
% 0.20/0.52 % (14271)Memory used [KB]: 895
% 0.20/0.52 % (14271)Time elapsed: 0.002 s
% 0.20/0.52 % (14271)Instructions burned: 2 (million)
% 0.20/0.52 % (14271)------------------------------
% 0.20/0.52 % (14271)------------------------------
% 0.20/0.52 % (14270)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (14278)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 % (14278)------------------------------
% 0.20/0.52 % (14278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14278)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (14278)Memory used [KB]: 1151
% 0.20/0.52 % (14278)Time elapsed: 0.104 s
% 0.20/0.52 % (14278)Instructions burned: 11 (million)
% 0.20/0.52 % (14278)------------------------------
% 0.20/0.52 % (14278)------------------------------
% 0.20/0.52 % (14262)Success in time 0.173 s
%------------------------------------------------------------------------------