%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:21:35 EDT 2024
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 51 ( 28 ~; 7 |; 11 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(c0,negated_conjecture,
~ ! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
inference(assume_negation,[status(cth)],[con]) ).
fof(c1,negated_conjecture,
~ ! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [L,M,N] :
( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N)
& convergent_lines(M,N) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2,X3,X4] :
( ~ unorthogonal_lines(X2,X3)
& ~ unorthogonal_lines(X2,X4)
& convergent_lines(X3,X4) ),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
( ~ unorthogonal_lines(skolem0001,skolem0002)
& ~ unorthogonal_lines(skolem0001,skolem0003)
& convergent_lines(skolem0002,skolem0003) ),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c6,negated_conjecture,
~ unorthogonal_lines(skolem0001,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c5,negated_conjecture,
~ unorthogonal_lines(skolem0001,skolem0002),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c7,negated_conjecture,
convergent_lines(skolem0002,skolem0003),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(couo1,axiom,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',couo1) ).
fof(c8,plain,
! [L,M,N] :
( ( ~ unorthogonal_lines(L,M)
& ~ unorthogonal_lines(L,N) )
=> ~ convergent_lines(M,N) ),
inference(fof_simplification,[status(thm)],[couo1]) ).
fof(c9,plain,
! [L,M,N] :
( unorthogonal_lines(L,M)
| unorthogonal_lines(L,N)
| ~ convergent_lines(M,N) ),
inference(fof_nnf,[status(thm)],[c8]) ).
fof(c10,plain,
! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
| unorthogonal_lines(X5,X7)
| ~ convergent_lines(X6,X7) ),
inference(variable_rename,[status(thm)],[c9]) ).
cnf(c11,plain,
( unorthogonal_lines(X55,X56)
| unorthogonal_lines(X55,X54)
| ~ convergent_lines(X56,X54) ),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c87,plain,
( unorthogonal_lines(X59,skolem0002)
| unorthogonal_lines(X59,skolem0003) ),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(c91,plain,
unorthogonal_lines(skolem0001,skolem0003),
inference(resolution,[status(thm)],[c87,c5]) ).
cnf(c102,plain,
$false,
inference(resolution,[status(thm)],[c91,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 08:11:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % Version: 1.5
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 % SZS output start CNFRefutation
% See solution above
% 0.19/0.53
% 0.19/0.53 % Initial clauses : 23
% 0.19/0.53 % Processed clauses : 17
% 0.19/0.53 % Factors computed : 0
% 0.19/0.53 % Resolvents computed: 21
% 0.19/0.53 % Tautologies deleted: 0
% 0.19/0.53 % Forward subsumed : 2
% 0.19/0.53 % Backward subsumed : 0
% 0.19/0.53 % -------- CPU Time ---------
% 0.19/0.53 % User time : 0.182 s
% 0.19/0.53 % System time : 0.013 s
% 0.19/0.53 % Total time : 0.195 s
%------------------------------------------------------------------------------