TSTP Solution File: GEO173+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : 600s
% DateTime : Sat Jul 16 05:58:51 EDT 2022
% Result : Theorem 55.91s 56.14s
% Output : Refutation 55.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& distinct_lines(U,line_connecting(X,Y)) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) ),
input ).
fof(c0,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& distinct_lines(U,line_connecting(X,Y)) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) ),
inference(assume_negation,status(cth),[con]) ).
fof(c1,negated_conjecture,
? [X,Y,U,V] :
( distinct_points(X,Y)
& convergent_lines(U,V)
& distinct_lines(U,line_connecting(X,Y))
& ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(Y,U) ),
inference(fof_nnf,status(thm),[c0]) ).
fof(c2,negated_conjecture,
? [X,Y,U] :
( distinct_points(X,Y)
& ? [V] : convergent_lines(U,V)
& distinct_lines(U,line_connecting(X,Y))
& ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(Y,U) ),
inference(shift_quantors,status(thm),[c1]) ).
fof(c3,negated_conjecture,
? [X2,X3,X4] :
( distinct_points(X2,X3)
& ? [X5] : convergent_lines(X4,X5)
& distinct_lines(X4,line_connecting(X2,X3))
& ~ apart_point_and_line(X2,X4)
& ~ apart_point_and_line(X3,X4) ),
inference(variable_rename,status(thm),[c2]) ).
fof(c4,negated_conjecture,
( distinct_points(skolem0001,skolem0002)
& convergent_lines(skolem0003,skolem0004)
& distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002))
& ~ apart_point_and_line(skolem0001,skolem0003)
& ~ apart_point_and_line(skolem0002,skolem0003) ),
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)) ),
input ).
fof(c36,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(fof_simplification,status(thm),[ci2]) ).
fof(c37,axiom,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Y,line_connecting(X,Y)) ),
inference(fof_nnf,status(thm),[c36]) ).
fof(c38,axiom,
! [X23,X24] :
( ~ distinct_points(X23,X24)
| ~ apart_point_and_line(X24,line_connecting(X23,X24)) ),
inference(variable_rename,status(thm),[c37]) ).
cnf(c39,axiom,
( ~ distinct_points(X47,X46)
| ~ apart_point_and_line(X46,line_connecting(X47,X46)) ),
inference(split_conjunct,status(thm),[c38]) ).
fof(ci1,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
input ).
fof(c40,axiom,
! [X,Y] :
( distinct_points(X,Y)
=> ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(fof_simplification,status(thm),[ci1]) ).
fof(c41,axiom,
! [X,Y] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(X,line_connecting(X,Y)) ),
inference(fof_nnf,status(thm),[c40]) ).
fof(c42,axiom,
! [X25,X26] :
( ~ distinct_points(X25,X26)
| ~ apart_point_and_line(X25,line_connecting(X25,X26)) ),
inference(variable_rename,status(thm),[c41]) ).
cnf(c43,axiom,
( ~ distinct_points(X52,X53)
| ~ apart_point_and_line(X52,line_connecting(X52,X53)) ),
inference(split_conjunct,status(thm),[c42]) ).
cnf(c9,negated_conjecture,
~ apart_point_and_line(skolem0002,skolem0003),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c8,negated_conjecture,
~ apart_point_and_line(skolem0001,skolem0003),
inference(split_conjunct,status(thm),[c4]) ).
cnf(c7,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) ) ),
input ).
fof(c25,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) ),
inference(fof_nnf,status(thm),[cu1]) ).
fof(c26,axiom,
! [X15,X16,X17,X18] :
( ~ distinct_points(X15,X16)
| ~ distinct_lines(X17,X18)
| apart_point_and_line(X15,X17)
| apart_point_and_line(X15,X18)
| apart_point_and_line(X16,X17)
| apart_point_and_line(X16,X18) ),
inference(variable_rename,status(thm),[c25]) ).
cnf(c27,axiom,
( ~ distinct_points(X65,X68)
| ~ distinct_lines(X67,X66)
| apart_point_and_line(X65,X67)
| apart_point_and_line(X65,X66)
| apart_point_and_line(X68,X67)
| apart_point_and_line(X68,X66) ),
inference(split_conjunct,status(thm),[c26]) ).
cnf(c83,plain,
( ~ distinct_points(X117,X116)
| apart_point_and_line(X117,skolem0003)
| apart_point_and_line(X117,line_connecting(skolem0001,skolem0002))
| apart_point_and_line(X116,skolem0003)
| apart_point_and_line(X116,line_connecting(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c27,c7]) ).
cnf(c208,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),[c83,c5]) ).
cnf(c1335,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),[c208,c8]) ).
cnf(c51467,plain,
( apart_point_and_line(skolem0001,line_connecting(skolem0001,skolem0002))
| apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)) ),
inference(resolution,status(thm),[c1335,c9]) ).
cnf(c64783,plain,
( apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002))
| ~ distinct_points(skolem0001,skolem0002) ),
inference(resolution,status(thm),[c51467,c43]) ).
cnf(c64813,plain,
apart_point_and_line(skolem0002,line_connecting(skolem0001,skolem0002)),
inference(resolution,status(thm),[c64783,c5]) ).
cnf(c64953,plain,
~ distinct_points(skolem0001,skolem0002),
inference(resolution,status(thm),[c64813,c39]) ).
cnf(c64979,plain,
$false,
inference(resolution,status(thm),[c64953,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.09 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 01:47:46 EDT 2022
% 0.09/0.29 % CPUTime :
% 55.91/56.14 # Version: 1.3
% 55.91/56.14 # SZS status Theorem
% 55.91/56.14 # SZS output start CNFRefutation
% See solution above
% 55.91/56.14
% 55.91/56.14 # Initial clauses : 19
% 55.91/56.14 # Processed clauses : 929
% 55.91/56.14 # Factors computed : 2520
% 55.91/56.14 # Resolvents computed: 62522
% 55.91/56.14 # Tautologies deleted: 0
% 55.91/56.14 # Forward subsumed : 3668
% 55.91/56.14 # Backward subsumed : 161
% 55.91/56.14 # -------- CPU Time ---------
% 55.91/56.14 # User time : 55.614 s
% 55.91/56.14 # System time : 0.206 s
% 55.91/56.14 # Total time : 55.820 s
%------------------------------------------------------------------------------