%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO170+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:21:14 EDT 2024
% Result : Theorem 3.09s 3.35s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 103 ( 44 ~; 35 |; 16 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 53 ( 0 sgn 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X,Y,Z] :
( ( distinct_points(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(Y,Z) )
=> ~ distinct_lines(Z,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(c0,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(Y,Z) )
=> ~ distinct_lines(Z,line_connecting(X,Y)) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c1,negated_conjecture,
~ ! [X,Y,Z] :
( ( distinct_points(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(Y,Z) )
=> ~ distinct_lines(Z,line_connecting(X,Y)) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X,Y,Z] :
( distinct_points(X,Y)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(Y,Z)
& distinct_lines(Z,line_connecting(X,Y)) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2,X3,X4] :
( distinct_points(X2,X3)
& ~ apart_point_and_line(X2,X4)
& ~ apart_point_and_line(X3,X4)
& distinct_lines(X4,line_connecting(X2,X3)) ),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
( distinct_points(skolem0001,skolem0002)
& ~ apart_point_and_line(skolem0001,skolem0003)
& ~ apart_point_and_line(skolem0002,skolem0003)
& distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)) ),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c5,negated_conjecture,
distinct_points(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(ci2,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(c35,plain,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(fof_simplification,[status(thm)],[ci2]) ).
fof(c36,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(fof_nnf,[status(thm)],[c35]) ).
fof(c37,plain,
! [X22,X23] :
( ~ distinct_points(X22,X23)
| ~ apart_point_and_line(X23,line_connecting(X22,X23)) ),
inference(variable_rename,[status(thm)],[c36]) ).
cnf(c38,plain,
( ~ distinct_points(X46,X45)
| ~ apart_point_and_line(X45,line_connecting(X46,X45)) ),
inference(split_conjunct,[status(thm)],[c37]) ).
fof(ci1,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(c39,plain,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(fof_simplification,[status(thm)],[ci1]) ).
fof(c40,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(fof_nnf,[status(thm)],[c39]) ).
fof(c41,plain,
! [X24,X25] :
( ~ distinct_points(X24,X25)
| ~ apart_point_and_line(X24,line_connecting(X24,X25)) ),
inference(variable_rename,[status(thm)],[c40]) ).
cnf(c42,plain,
( ~ distinct_points(X48,X47)
| ~ apart_point_and_line(X48,line_connecting(X48,X47)) ),
inference(split_conjunct,[status(thm)],[c41]) ).
cnf(c7,negated_conjecture,
~ apart_point_and_line(skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c6,negated_conjecture,
~ apart_point_and_line(skolem0001,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c8,negated_conjecture,
distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002)),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(cu1,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(c24,plain,
! [X,Y,U,V] :
( ~ distinct_points(X,Y)
| ~ distinct_lines(U,V)
| apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ),
inference(fof_nnf,[status(thm)],[cu1]) ).
fof(c25,plain,
! [X14,X15,X16,X17] :
( ~ distinct_points(X14,X15)
| ~ distinct_lines(X16,X17)
| apart_point_and_line(X14,X16)
| apart_point_and_line(X14,X17)
| apart_point_and_line(X15,X16)
| apart_point_and_line(X15,X17) ),
inference(variable_rename,[status(thm)],[c24]) ).
cnf(c26,plain,
( ~ distinct_points(X68,X67)
| ~ distinct_lines(X69,X70)
| apart_point_and_line(X68,X69)
| apart_point_and_line(X68,X70)
| apart_point_and_line(X67,X69)
| apart_point_and_line(X67,X70) ),
inference(split_conjunct,[status(thm)],[c25]) ).
cnf(c69,plain,
( ~ distinct_points(X74,X75)
| apart_point_and_line(X74,skolem0003)
| apart_point_and_line(X74,line_connecting(skolem0001,skolem0002))
| apart_point_and_line(X75,skolem0003)
| apart_point_and_line(X75,line_connecting(skolem0001,skolem0002)) ),
inference(resolution,[status(thm)],[c26,c8]) ).
cnf(c83,plain,
( apart_point_and_line(skolem0001,skolem0003)
| apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))
| apart_point_and_line(skolem0002,skolem0003)
| apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)) ),
inference(resolution,[status(thm)],[c69,c5]) ).
cnf(c274,plain,
( apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))
| apart_point_and_line(skolem0002,skolem0003)
| apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)) ),
inference(resolution,[status(thm)],[c83,c6]) ).
cnf(c6283,plain,
( apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))
| apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)) ),
inference(resolution,[status(thm)],[c274,c7]) ).
cnf(c6306,plain,
( apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))
| ~ distinct_points(skolem0001,skolem0002) ),
inference(resolution,[status(thm)],[c6283,c42]) ).
cnf(c6487,plain,
apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),
inference(resolution,[status(thm)],[c6306,c5]) ).
cnf(c6505,plain,
~ distinct_points(skolem0001,skolem0002),
inference(resolution,[status(thm)],[c6487,c38]) ).
cnf(c6666,plain,
$false,
inference(resolution,[status(thm)],[c6505,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO170+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n005.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 : Thu May 9 08:15:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 3.09/3.35 % Version: 1.5
% 3.09/3.35 % SZS status Theorem
% 3.09/3.35 % SZS output start CNFRefutation
% See solution above
% 3.09/3.35
% 3.09/3.35 % Initial clauses : 18
% 3.09/3.35 % Processed clauses : 179
% 3.09/3.35 % Factors computed : 656
% 3.09/3.35 % Resolvents computed: 5957
% 3.09/3.35 % Tautologies deleted: 1
% 3.09/3.35 % Forward subsumed : 660
% 3.09/3.35 % Backward subsumed : 39
% 3.09/3.35 % -------- CPU Time ---------
% 3.09/3.35 % User time : 2.964 s
% 3.09/3.35 % System time : 0.037 s
% 3.09/3.35 % Total time : 3.001 s
%------------------------------------------------------------------------------