TSTP Solution File: GEO206+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO206+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 May 31 12:08:17 EDT 2023
% Result : Theorem 0.19s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 35 ~; 32 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 (; 59 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
! [X,Y,Z] :
( ( ~ apart_point_and_line(X,Y)
& ~ convergent_lines(Y,Z) )
=> ~ distinct_lines(Y,parallel_through_point(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ! [X,Y,Z] :
( ( ~ apart_point_and_line(X,Y)
& ~ convergent_lines(Y,Z) )
=> ~ distinct_lines(Y,parallel_through_point(Z,X)) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f21,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
! [X,Y,Z] :
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f27,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| ! [Z] :
( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f51,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f52,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f53,plain,
! [X,Y,Z] :
( ~ distinct_lines(Y,Z)
| apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f54,plain,
! [Y,Z] :
( ~ distinct_lines(Y,Z)
| ! [X] :
( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z) )
| convergent_lines(Y,Z) ),
inference(miniscoping,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
? [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
& ~ convergent_lines(Y,Z)
& distinct_lines(Y,parallel_through_point(Z,X)) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f57,plain,
( ~ apart_point_and_line(sk0_0,sk0_1)
& ~ convergent_lines(sk0_1,sk0_2)
& distinct_lines(sk0_1,parallel_through_point(sk0_2,sk0_0)) ),
inference(skolemization,[status(esa)],[f56]) ).
fof(f58,plain,
~ apart_point_and_line(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
~ convergent_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f60,plain,
distinct_lines(sk0_1,parallel_through_point(sk0_2,sk0_0)),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f62,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X0) ),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f64,plain,
! [X0] :
( ~ distinct_lines(X0,sk0_1)
| apart_point_and_line(sk0_0,X0)
| convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f55,f58]) ).
fof(f77,plain,
! [X0] :
( ~ distinct_lines(parallel_through_point(X0,sk0_0),sk0_1)
| convergent_lines(parallel_through_point(X0,sk0_0),sk0_1) ),
inference(resolution,[status(thm)],[f52,f64]) ).
fof(f81,plain,
! [X0,X1] :
( ~ distinct_lines(parallel_through_point(X0,sk0_0),sk0_1)
| convergent_lines(parallel_through_point(X0,sk0_0),X1)
| convergent_lines(sk0_1,X1) ),
inference(resolution,[status(thm)],[f77,f31]) ).
fof(f120,plain,
! [X0] :
( ~ distinct_lines(parallel_through_point(X0,sk0_0),sk0_1)
| convergent_lines(parallel_through_point(X0,sk0_0),sk0_2) ),
inference(resolution,[status(thm)],[f81,f59]) ).
fof(f124,plain,
~ distinct_lines(parallel_through_point(sk0_2,sk0_0),sk0_1),
inference(resolution,[status(thm)],[f120,f51]) ).
fof(f138,plain,
~ distinct_lines(sk0_1,parallel_through_point(sk0_2,sk0_0)),
inference(resolution,[status(thm)],[f124,f62]) ).
fof(f139,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f138,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO206+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:30:15 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Drodi V3.5.1
% 0.19/0.35 % Refutation found
% 0.19/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.36 % Elapsed time: 0.022536 seconds
% 0.19/0.36 % CPU time: 0.061496 seconds
% 0.19/0.36 % Memory used: 2.257 MB
%------------------------------------------------------------------------------