TSTP Solution File: GEO189+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO189+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 : n021.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 16:09:04 EDT 2022
% Result : Theorem 1.80s 0.61s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 101 ( 30 ~; 29 |; 34 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f524,plain,
$false,
inference(resolution,[],[f519,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f519,plain,
! [X0] : apart_point_and_line(sK1,parallel_through_point(line_connecting(sK0,sK2),X0)),
inference(resolution,[],[f477,f152]) ).
fof(f152,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f477,plain,
! [X10] :
( convergent_lines(X10,line_connecting(sK0,sK2))
| apart_point_and_line(sK1,X10) ),
inference(resolution,[],[f446,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f446,plain,
! [X0] :
( distinct_lines(X0,line_connecting(sK0,sK2))
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f244,f147]) ).
fof(f147,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(f244,plain,
! [X6,X5] :
( distinct_lines(line_connecting(sK0,sK2),X6)
| apart_point_and_line(sK1,X5)
| distinct_lines(X5,X6) ),
inference(resolution,[],[f206,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X2,X0)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X1,X2,X0] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X1,X0,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f206,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK2),X0)
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f170,f177]) ).
fof(f177,plain,
apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(resolution,[],[f165,f134]) ).
fof(f134,plain,
~ incident_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( incident_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1)
& distinct_points(sK1,sK2)
& ~ incident_point_and_line(sK1,line_connecting(sK0,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f104,f105]) ).
fof(f105,plain,
( ? [X0,X1,X2] :
( incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(X1,X2)
& ~ incident_point_and_line(X1,line_connecting(X0,X2)) )
=> ( incident_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1)
& distinct_points(sK1,sK2)
& ~ incident_point_and_line(sK1,line_connecting(sK0,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0,X1,X2] :
( incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& distinct_points(X1,X2)
& ~ incident_point_and_line(X1,line_connecting(X0,X2)) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
? [X1,X0,X2] :
( incident_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X1,X2)
& distinct_points(X1,X0)
& distinct_points(X0,X2)
& ~ incident_point_and_line(X0,line_connecting(X1,X2)) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X2,X1,X0] :
( ~ incident_point_and_line(X0,line_connecting(X1,X2))
& distinct_points(X1,X2)
& distinct_points(X1,X0)
& incident_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X1,X0)
& incident_point_and_line(X2,line_connecting(X1,X0))
& distinct_points(X0,X2) )
=> incident_point_and_line(X0,line_connecting(X1,X2)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0,X2] :
( ( incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> incident_point_and_line(X1,line_connecting(X0,X2)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0,X2] :
( ( incident_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> incident_point_and_line(X1,line_connecting(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f165,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) )
& ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
<=> incident_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0,X2,X1] :
( apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO189+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_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:22:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.57/0.58 % (9837)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)
% 1.57/0.58 % (9835)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.57/0.58 % (9829)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)
% 1.57/0.58 % (9821)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.80/0.58 % (9827)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)
% 1.80/0.59 % (9819)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.80/0.60 % (9827)Instruction limit reached!
% 1.80/0.60 % (9827)------------------------------
% 1.80/0.60 % (9827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (9827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (9827)Termination reason: Unknown
% 1.80/0.60 % (9827)Termination phase: Saturation
% 1.80/0.60
% 1.80/0.60 % (9827)Memory used [KB]: 6012
% 1.80/0.60 % (9827)Time elapsed: 0.004 s
% 1.80/0.60 % (9827)Instructions burned: 3 (million)
% 1.80/0.60 % (9827)------------------------------
% 1.80/0.60 % (9827)------------------------------
% 1.80/0.60 % (9835)First to succeed.
% 1.80/0.61 % (9835)Refutation found. Thanks to Tanya!
% 1.80/0.61 % SZS status Theorem for theBenchmark
% 1.80/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.61 % (9835)------------------------------
% 1.80/0.61 % (9835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (9835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (9835)Termination reason: Refutation
% 1.80/0.61
% 1.80/0.61 % (9835)Memory used [KB]: 6140
% 1.80/0.61 % (9835)Time elapsed: 0.167 s
% 1.80/0.61 % (9835)Instructions burned: 6 (million)
% 1.80/0.61 % (9835)------------------------------
% 1.80/0.61 % (9835)------------------------------
% 1.80/0.61 % (9782)Success in time 0.257 s
%------------------------------------------------------------------------------