TSTP Solution File: GEO189+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n001.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 16:12:10 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 106 ( 35 ~; 27 |; 34 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 92 ( 80 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f301,plain,
$false,
inference(resolution,[],[f300,f130]) ).
fof(f130,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X1,X0] : ~ 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/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f300,plain,
! [X0] : apart_point_and_line(sK2,parallel_through_point(line_connecting(sK0,sK1),X0)),
inference(resolution,[],[f277,f167]) ).
fof(f167,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f277,plain,
! [X18] :
( convergent_lines(X18,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X18) ),
inference(resolution,[],[f269,f193]) ).
fof(f193,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f132,f182]) ).
fof(f182,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(resolution,[],[f152,f161]) ).
fof(f161,plain,
~ incident_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( distinct_points(sK0,sK2)
& distinct_points(sK0,sK1)
& ~ incident_point_and_line(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,line_connecting(sK0,sK2))
& distinct_points(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f119,f120]) ).
fof(f120,plain,
( ? [X0,X1,X2] :
( distinct_points(X0,X2)
& distinct_points(X0,X1)
& ~ incident_point_and_line(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X2,X1) )
=> ( distinct_points(sK0,sK2)
& distinct_points(sK0,sK1)
& ~ incident_point_and_line(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,line_connecting(sK0,sK2))
& distinct_points(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
? [X0,X1,X2] :
( distinct_points(X0,X2)
& distinct_points(X0,X1)
& ~ incident_point_and_line(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,line_connecting(X0,X2))
& distinct_points(X2,X1) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
? [X2,X0,X1] :
( distinct_points(X2,X1)
& distinct_points(X2,X0)
& ~ incident_point_and_line(X1,line_connecting(X2,X0))
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X1,X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0,X2,X1] :
( ~ incident_point_and_line(X1,line_connecting(X2,X0))
& incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X0)
& distinct_points(X1,X0)
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
~ ! [X0,X2,X1] :
( ( incident_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X0)
& distinct_points(X1,X0)
& distinct_points(X2,X1) )
=> incident_point_and_line(X1,line_connecting(X2,X0)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X2,line_connecting(X0,X1)) )
=> incident_point_and_line(X1,line_connecting(X0,X2)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X2,X1,X0] :
( ( distinct_points(X1,X2)
& distinct_points(X0,X2)
& distinct_points(X0,X1)
& incident_point_and_line(X2,line_connecting(X0,X1)) )
=> incident_point_and_line(X1,line_connecting(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f152,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) )
& ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
<=> ~ apart_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/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f132,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f101]) ).
fof(f101,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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f269,plain,
! [X6,X7] :
( ~ distinct_lines(X6,X7)
| convergent_lines(X7,X6) ),
inference(resolution,[],[f254,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( 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/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f254,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X0) ),
inference(resolution,[],[f134,f175]) ).
fof(f175,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X1)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ distinct_lines(X2,X1) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X2,X1,X0] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.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 21:47:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (19763)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)
% 0.20/0.50 % (19764)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)
% 0.20/0.50 % (19754)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (19756)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (19756)Instruction limit reached!
% 0.20/0.50 % (19756)------------------------------
% 0.20/0.50 % (19756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (19756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (19756)Termination reason: Unknown
% 0.20/0.50 % (19756)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (19756)Memory used [KB]: 895
% 0.20/0.50 % (19756)Time elapsed: 0.003 s
% 0.20/0.50 % (19756)Instructions burned: 2 (million)
% 0.20/0.50 % (19756)------------------------------
% 0.20/0.50 % (19756)------------------------------
% 0.20/0.51 % (19772)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (19764)First to succeed.
% 0.20/0.51 % (19750)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)
% 0.20/0.51 % (19759)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)
% 0.20/0.51 % (19764)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (19764)------------------------------
% 0.20/0.51 % (19764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (19764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (19764)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (19764)Memory used [KB]: 5500
% 0.20/0.51 % (19764)Time elapsed: 0.110 s
% 0.20/0.51 % (19764)Instructions burned: 8 (million)
% 0.20/0.51 % (19764)------------------------------
% 0.20/0.51 % (19764)------------------------------
% 0.20/0.51 % (19747)Success in time 0.165 s
%------------------------------------------------------------------------------