TSTP Solution File: GEO226+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO226+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_uns --cores 0 -t %d %s
% Computer : n011.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 16:09:23 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 122 ( 46 ~; 32 |; 30 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 76 ( 67 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(subsumption_resolution,[],[f162,f136]) ).
fof(f136,plain,
convergent_lines(sK1,sK0),
inference(resolution,[],[f134,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f134,plain,
distinct_lines(sK1,sK0),
inference(resolution,[],[f127,f104]) ).
fof(f104,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(f127,plain,
! [X0] :
( convergent_lines(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f107,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| distinct_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X2,X0] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X1,X2,X0] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[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(f107,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( line(sK0)
& line(sK1)
& ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,sK0)
| ~ incident_point_and_line(X2,sK1) ) )
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f86]) ).
fof(f86,plain,
( ? [X0,X1] :
( line(X0)
& line(X1)
& ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,X0)
| ~ incident_point_and_line(X2,X1) ) )
& convergent_lines(X0,X1) )
=> ( line(sK0)
& line(sK1)
& ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,sK0)
| ~ incident_point_and_line(X2,sK1) ) )
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1] :
( line(X0)
& line(X1)
& ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,X0)
| ~ incident_point_and_line(X2,X1) ) )
& convergent_lines(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X1,X0] :
( ! [X2] :
( point(X2)
& ( ~ incident_point_and_line(X2,X0)
| ~ incident_point_and_line(X2,X1) ) )
& convergent_lines(X0,X1)
& line(X0)
& line(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0] :
( ( convergent_lines(X0,X1)
& line(X0)
& line(X1) )
=> ? [X2] :
( point(X2)
=> ( incident_point_and_line(X2,X1)
& incident_point_and_line(X2,X0) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X5,X6] :
( ( line(X6)
& convergent_lines(X5,X6)
& line(X5) )
=> ? [X0] :
( point(X0)
=> ( incident_point_and_line(X0,X5)
& incident_point_and_line(X0,X6) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X5,X6] :
( ( line(X6)
& convergent_lines(X5,X6)
& line(X5) )
=> ? [X0] :
( point(X0)
=> ( incident_point_and_line(X0,X5)
& incident_point_and_line(X0,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f162,plain,
~ convergent_lines(sK1,sK0),
inference(duplicate_literal_removal,[],[f161]) ).
fof(f161,plain,
( ~ convergent_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f153,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f153,plain,
! [X0] :
( apart_point_and_line(intersection_point(sK1,X0),sK0)
| ~ convergent_lines(sK1,X0) ),
inference(resolution,[],[f152,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ 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) ).
fof(f152,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f130,f98]) ).
fof(f98,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) )
& ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
<=> incident_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f130,plain,
! [X0] :
( ~ incident_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f108,f98]) ).
fof(f108,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ incident_point_and_line(X2,sK0) ),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO226+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_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n011.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 21:29:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (20113)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (20128)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (20115)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (20116)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.52 % (20140)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.52 % (20112)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)
% 0.21/0.52 % (20114)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)
% 0.21/0.52 % (20118)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)
% 0.21/0.52 % (20123)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (20112)First to succeed.
% 0.21/0.52 % (20135)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (20138)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.52 % (20125)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52 % (20128)Instruction limit reached!
% 0.21/0.52 % (20128)------------------------------
% 0.21/0.52 % (20128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (20131)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.53 % (20128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (20128)Termination reason: Unknown
% 0.21/0.53 % (20128)Termination phase: Finite model building constraint generation
% 0.21/0.53
% 0.21/0.53 % (20128)Memory used [KB]: 6012
% 0.21/0.53 % (20128)Time elapsed: 0.005 s
% 0.21/0.53 % (20128)Instructions burned: 4 (million)
% 0.21/0.53 % (20128)------------------------------
% 0.21/0.53 % (20128)------------------------------
% 0.21/0.53 % (20127)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (20118)Refutation not found, incomplete strategy% (20118)------------------------------
% 0.21/0.53 % (20118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (20113)Also succeeded, but the first one will report.
% 0.21/0.53 % (20120)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)
% 0.21/0.53 % (20112)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (20112)------------------------------
% 0.21/0.53 % (20112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (20112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (20112)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (20112)Memory used [KB]: 6012
% 0.21/0.53 % (20112)Time elapsed: 0.113 s
% 0.21/0.53 % (20112)Instructions burned: 4 (million)
% 0.21/0.53 % (20112)------------------------------
% 0.21/0.53 % (20112)------------------------------
% 0.21/0.53 % (20110)Success in time 0.179 s
%------------------------------------------------------------------------------