%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO208+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 : Thu May 9 17:21:30 EDT 2024
% Result : Theorem 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 29 ~; 14 |; 15 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 0 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X,Y,Z] :
( ( ~ apart_point_and_line(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ convergent_lines(Y,Z) )
=> ~ distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(c0,negated_conjecture,
~ ! [X,Y,Z] :
( ( ~ apart_point_and_line(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ convergent_lines(Y,Z) )
=> ~ distinct_lines(Y,Z) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c1,negated_conjecture,
~ ! [X,Y,Z] :
( ( ~ apart_point_and_line(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ convergent_lines(Y,Z) )
=> ~ distinct_lines(Y,Z) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ convergent_lines(Y,Z)
& distinct_lines(Y,Z) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2,X3,X4] :
( ~ apart_point_and_line(X2,X3)
& ~ apart_point_and_line(X2,X4)
& ~ convergent_lines(X3,X4)
& distinct_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
( ~ apart_point_and_line(skolem0001,skolem0002)
& ~ apart_point_and_line(skolem0001,skolem0003)
& ~ convergent_lines(skolem0002,skolem0003)
& distinct_lines(skolem0002,skolem0003) ),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c6,negated_conjecture,
~ apart_point_and_line(skolem0001,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c5,negated_conjecture,
~ apart_point_and_line(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c7,negated_conjecture,
~ convergent_lines(skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c8,negated_conjecture,
distinct_lines(skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(cup1,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/sandbox2/benchmark/Axioms/GEO006+2.ax',cup1) ).
fof(c9,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(fof_nnf,[status(thm)],[cup1]) ).
fof(c10,plain,
! [X5,X6,X7] :
( ~ distinct_lines(X6,X7)
| apart_point_and_line(X5,X6)
| apart_point_and_line(X5,X7)
| convergent_lines(X6,X7) ),
inference(variable_rename,[status(thm)],[c9]) ).
cnf(c11,plain,
( ~ distinct_lines(X55,X56)
| apart_point_and_line(X54,X55)
| apart_point_and_line(X54,X56)
| convergent_lines(X55,X56) ),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c72,plain,
( apart_point_and_line(X103,skolem0002)
| apart_point_and_line(X103,skolem0003)
| convergent_lines(skolem0002,skolem0003) ),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(c165,plain,
( apart_point_and_line(X105,skolem0002)
| apart_point_and_line(X105,skolem0003) ),
inference(resolution,[status(thm)],[c72,c7]) ).
cnf(c170,plain,
apart_point_and_line(skolem0001,skolem0003),
inference(resolution,[status(thm)],[c165,c5]) ).
cnf(c178,plain,
$false,
inference(resolution,[status(thm)],[c170,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Thu May 9 08:08:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.40/0.60 % Version: 1.5
% 0.40/0.60 % SZS status Theorem
% 0.40/0.60 % SZS output start CNFRefutation
% See solution above
% 0.40/0.60
% 0.40/0.60 % Initial clauses : 21
% 0.40/0.60 % Processed clauses : 32
% 0.40/0.60 % Factors computed : 7
% 0.40/0.60 % Resolvents computed: 102
% 0.40/0.60 % Tautologies deleted: 0
% 0.40/0.60 % Forward subsumed : 19
% 0.40/0.60 % Backward subsumed : 1
% 0.40/0.60 % -------- CPU Time ---------
% 0.40/0.60 % User time : 0.233 s
% 0.40/0.60 % System time : 0.011 s
% 0.40/0.60 % Total time : 0.244 s
%------------------------------------------------------------------------------