TSTP Solution File: GEO206+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 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 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 29 ~; 21 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 58 (; 55 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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(f15,axiom,
! [X,Y] :
( distinct_lines(X,Y)
=> convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y] :
( equal_lines(X,Y)
<=> ~ distinct_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,Y] :
( parallel_lines(X,Y)
<=> ~ convergent_lines(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [X,Y,Z] :
( ( incident_point_and_line(X,Y)
& parallel_lines(Y,Z) )
=> equal_lines(Y,parallel_through_point(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,Z] :
( ( incident_point_and_line(X,Y)
& parallel_lines(Y,Z) )
=> equal_lines(Y,parallel_through_point(Z,X)) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f44,plain,
! [X,Y,Z] :
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f45,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| ! [Z] :
( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f69,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| convergent_lines(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f70,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f111,plain,
! [X,Y] :
( ( ~ equal_lines(X,Y)
| ~ distinct_lines(X,Y) )
& ( equal_lines(X,Y)
| distinct_lines(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f32]) ).
fof(f112,plain,
( ! [X,Y] :
( ~ equal_lines(X,Y)
| ~ distinct_lines(X,Y) )
& ! [X,Y] :
( equal_lines(X,Y)
| distinct_lines(X,Y) ) ),
inference(miniscoping,[status(esa)],[f111]) ).
fof(f114,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f112]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ parallel_lines(X,Y)
| ~ convergent_lines(X,Y) )
& ( parallel_lines(X,Y)
| convergent_lines(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f33]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ parallel_lines(X,Y)
| ~ convergent_lines(X,Y) )
& ! [X,Y] :
( parallel_lines(X,Y)
| convergent_lines(X,Y) ) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f127,plain,
? [X,Y,Z] :
( incident_point_and_line(X,Y)
& parallel_lines(Y,Z)
& ~ equal_lines(Y,parallel_through_point(Z,X)) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
( incident_point_and_line(sk0_0,sk0_1)
& parallel_lines(sk0_1,sk0_2)
& ~ equal_lines(sk0_1,parallel_through_point(sk0_2,sk0_0)) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f130,plain,
parallel_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f131,plain,
~ equal_lines(sk0_1,parallel_through_point(sk0_2,sk0_0)),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f143,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[status(thm)],[f70,f71]) ).
fof(f145,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(resolution,[status(thm)],[f70,f117]) ).
fof(f157,plain,
~ distinct_lines(sk0_1,sk0_2),
inference(resolution,[status(thm)],[f145,f130]) ).
fof(f162,plain,
! [X0] :
( ~ distinct_lines(sk0_1,X0)
| distinct_lines(X0,sk0_2) ),
inference(resolution,[status(thm)],[f157,f46]) ).
fof(f174,plain,
! [X0] : ~ distinct_lines(sk0_1,parallel_through_point(sk0_2,X0)),
inference(resolution,[status(thm)],[f162,f143]) ).
fof(f186,plain,
! [X0] : equal_lines(sk0_1,parallel_through_point(sk0_2,X0)),
inference(resolution,[status(thm)],[f174,f114]) ).
fof(f187,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f131,f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n001.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 12:34:00 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28 % Elapsed time: 0.013534 seconds
% 0.06/0.28 % CPU time: 0.021226 seconds
% 0.06/0.28 % Memory used: 1.992 MB
%------------------------------------------------------------------------------