TSTP Solution File: GEO216+2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:21:33 EDT 2024
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 20 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(con,conjecture,
! [L] :
~ ~ unorthogonal_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(c0,negated_conjecture,
~ ! [L] :
~ ~ unorthogonal_lines(L,L),
inference(assume_negation,[status(cth)],[con]) ).
fof(c1,negated_conjecture,
~ ! [L] : unorthogonal_lines(L,L),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [L] : ~ unorthogonal_lines(L,L),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2] : ~ unorthogonal_lines(X2,X2),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
~ unorthogonal_lines(skolem0001,skolem0001),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c5,negated_conjecture,
~ unorthogonal_lines(skolem0001,skolem0001),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(apart3,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).
fof(c67,plain,
! [X] : ~ convergent_lines(X,X),
inference(fof_simplification,[status(thm)],[apart3]) ).
fof(c68,plain,
! [X38] : ~ convergent_lines(X38,X38),
inference(variable_rename,[status(thm)],[c67]) ).
cnf(c69,plain,
~ convergent_lines(X41,X41),
inference(split_conjunct,[status(thm)],[c68]) ).
fof(coipo1,axiom,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
fof(c18,plain,
! [L,M] :
~ ( ~ convergent_lines(L,M)
& ~ unorthogonal_lines(L,M) ),
inference(fof_simplification,[status(thm)],[coipo1]) ).
fof(c19,plain,
! [L,M] :
( convergent_lines(L,M)
| unorthogonal_lines(L,M) ),
inference(fof_nnf,[status(thm)],[c18]) ).
fof(c20,plain,
! [X9,X10] :
( convergent_lines(X9,X10)
| unorthogonal_lines(X9,X10) ),
inference(variable_rename,[status(thm)],[c19]) ).
cnf(c21,plain,
( convergent_lines(X45,X44)
| unorthogonal_lines(X45,X44) ),
inference(split_conjunct,[status(thm)],[c20]) ).
cnf(c76,plain,
unorthogonal_lines(X49,X49),
inference(resolution,[status(thm)],[c21,c69]) ).
cnf(c79,plain,
$false,
inference(resolution,[status(thm)],[c76,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 08:05:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.53 % Version: 1.5
% 0.18/0.53 % SZS status Theorem
% 0.18/0.53 % SZS output start CNFRefutation
% See solution above
% 0.18/0.53
% 0.18/0.53 % Initial clauses : 21
% 0.18/0.53 % Processed clauses : 7
% 0.18/0.53 % Factors computed : 0
% 0.18/0.53 % Resolvents computed: 4
% 0.18/0.53 % Tautologies deleted: 0
% 0.18/0.53 % Forward subsumed : 0
% 0.18/0.53 % Backward subsumed : 0
% 0.18/0.53 % -------- CPU Time ---------
% 0.18/0.53 % User time : 0.174 s
% 0.18/0.53 % System time : 0.021 s
% 0.18/0.53 % Total time : 0.195 s
%------------------------------------------------------------------------------