TSTP Solution File: GEO177+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Tue Apr 30 20:17:19 EDT 2024
% Result : Theorem 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 102 ( 35 ~; 48 |; 10 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 60 !; 4 ?)
% 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(f13,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,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(f17,axiom,
! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V) )
=> ( ( apart_point_and_line(X,line_connecting(U,V))
| apart_point_and_line(Y,line_connecting(U,V)) )
=> ( apart_point_and_line(U,line_connecting(X,Y))
| apart_point_and_line(V,line_connecting(X,Y)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_points(U,V) )
=> ( ( apart_point_and_line(X,line_connecting(U,V))
| apart_point_and_line(Y,line_connecting(U,V)) )
=> ( apart_point_and_line(U,line_connecting(X,Y))
| apart_point_and_line(V,line_connecting(X,Y)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f39,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(f63,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f64,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
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(f72,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f127,plain,
? [X,Y,U,V] :
( distinct_points(X,Y)
& distinct_points(U,V)
& ( apart_point_and_line(X,line_connecting(U,V))
| apart_point_and_line(Y,line_connecting(U,V)) )
& ~ apart_point_and_line(U,line_connecting(X,Y))
& ~ apart_point_and_line(V,line_connecting(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
( distinct_points(sk0_0,sk0_1)
& distinct_points(sk0_2,sk0_3)
& ( apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))
| apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3)) )
& ~ apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))
& ~ apart_point_and_line(sk0_3,line_connecting(sk0_0,sk0_1)) ),
inference(skolemization,[status(esa)],[f127]) ).
fof(f131,plain,
( apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))
| apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3)) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f140,plain,
( spl0_0
<=> apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( apart_point_and_line(sk0_0,line_connecting(sk0_2,sk0_3))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_1
<=> apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( apart_point_and_line(sk0_1,line_connecting(sk0_2,sk0_3))
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f131,f140,f143]) ).
fof(f153,plain,
! [X0] :
( distinct_lines(line_connecting(sk0_2,sk0_3),X0)
| apart_point_and_line(sk0_0,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f65,f141]) ).
fof(f155,plain,
! [X0,X1] :
( apart_point_and_line(sk0_0,X0)
| distinct_lines(line_connecting(sk0_2,sk0_3),X1)
| distinct_lines(X0,X1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f153,f46]) ).
fof(f163,plain,
! [X0] :
( apart_point_and_line(sk0_0,X0)
| distinct_lines(X0,line_connecting(sk0_2,sk0_3))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f155,f39]) ).
fof(f166,plain,
! [X0] :
( apart_point_and_line(sk0_0,X0)
| convergent_lines(X0,line_connecting(sk0_2,sk0_3))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f163,f70]) ).
fof(f168,plain,
! [X0] :
( apart_point_and_line(sk0_0,parallel_through_point(line_connecting(sk0_2,sk0_3),X0))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f166,f71]) ).
fof(f171,plain,
( $false
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f168,f72]) ).
fof(f172,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f173,plain,
! [X0] :
( distinct_lines(line_connecting(sk0_2,sk0_3),X0)
| apart_point_and_line(sk0_1,X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f144,f65]) ).
fof(f176,plain,
! [X0,X1] :
( apart_point_and_line(sk0_1,X0)
| distinct_lines(line_connecting(sk0_2,sk0_3),X1)
| distinct_lines(X0,X1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f173,f46]) ).
fof(f205,plain,
! [X0] :
( apart_point_and_line(sk0_1,X0)
| distinct_lines(X0,line_connecting(sk0_2,sk0_3))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f176,f39]) ).
fof(f213,plain,
! [X0] :
( apart_point_and_line(sk0_1,X0)
| convergent_lines(X0,line_connecting(sk0_2,sk0_3))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f205,f70]) ).
fof(f215,plain,
! [X0] :
( apart_point_and_line(sk0_1,parallel_through_point(line_connecting(sk0_2,sk0_3),X0))
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f213,f71]) ).
fof(f218,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f215,f72]) ).
fof(f219,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f220,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f172,f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 30 01:39:21 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.29 % Drodi V3.6.0
% 0.09/0.29 % Refutation found
% 0.09/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.30 % Elapsed time: 0.015728 seconds
% 0.09/0.30 % CPU time: 0.043073 seconds
% 0.09/0.30 % Total memory used: 2.700 MB
% 0.09/0.30 % Net memory used: 2.682 MB
%------------------------------------------------------------------------------