%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% 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 17:47:14 EDT 2024
% Result : Theorem 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 55 ( 22 ~; 15 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel30,conjecture,
! [X] : big_i(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel30) ).
fof(c0,negated_conjecture,
~ ! [X] : big_i(X),
inference(assume_negation,[status(cth)],[pel30]) ).
fof(c1,negated_conjecture,
? [X] : ~ big_i(X),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2] : ~ big_i(X2),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
~ big_i(skolem0001),
inference(skolemize,[status(esa)],[c2]) ).
cnf(c4,negated_conjecture,
~ big_i(skolem0001),
inference(split_conjunct,[status(thm)],[c3]) ).
fof(pel30_2,axiom,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_f(X)
& big_h(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel30_2) ).
fof(c5,plain,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_f(X)
& big_h(X) ) ),
inference(fof_simplification,[status(thm)],[pel30_2]) ).
fof(c6,plain,
! [X] :
( ( big_g(X)
& big_i(X) )
| ( big_f(X)
& big_h(X) ) ),
inference(fof_nnf,[status(thm)],[c5]) ).
fof(c7,plain,
! [X3] :
( ( big_g(X3)
& big_i(X3) )
| ( big_f(X3)
& big_h(X3) ) ),
inference(variable_rename,[status(thm)],[c6]) ).
fof(c8,plain,
! [X3] :
( ( big_g(X3)
| big_f(X3) )
& ( big_g(X3)
| big_h(X3) )
& ( big_i(X3)
| big_f(X3) )
& ( big_i(X3)
| big_h(X3) ) ),
inference(distribute,[status(thm)],[c7]) ).
cnf(c11,plain,
( big_i(X7)
| big_f(X7) ),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c19,plain,
big_f(skolem0001),
inference(resolution,[status(thm)],[c11,c4]) ).
cnf(c12,plain,
( big_i(X8)
| big_h(X8) ),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c20,plain,
big_h(skolem0001),
inference(resolution,[status(thm)],[c12,c4]) ).
fof(pel30_1,axiom,
! [X] :
( ( big_f(X)
| big_g(X) )
=> ~ big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel30_1) ).
fof(c13,plain,
! [X] :
( ( big_f(X)
| big_g(X) )
=> ~ big_h(X) ),
inference(fof_simplification,[status(thm)],[pel30_1]) ).
fof(c14,plain,
! [X] :
( ( ~ big_f(X)
& ~ big_g(X) )
| ~ big_h(X) ),
inference(fof_nnf,[status(thm)],[c13]) ).
fof(c15,plain,
! [X4] :
( ( ~ big_f(X4)
& ~ big_g(X4) )
| ~ big_h(X4) ),
inference(variable_rename,[status(thm)],[c14]) ).
fof(c16,plain,
! [X4] :
( ( ~ big_f(X4)
| ~ big_h(X4) )
& ( ~ big_g(X4)
| ~ big_h(X4) ) ),
inference(distribute,[status(thm)],[c15]) ).
cnf(c17,plain,
( ~ big_f(X9)
| ~ big_h(X9) ),
inference(split_conjunct,[status(thm)],[c16]) ).
cnf(c21,plain,
~ big_f(skolem0001),
inference(resolution,[status(thm)],[c17,c20]) ).
cnf(c25,plain,
$false,
inference(resolution,[status(thm)],[c21,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN060+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed May 8 20:30:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.57 % Version: 1.5
% 0.22/0.57 % SZS status Theorem
% 0.22/0.57 % SZS output start CNFRefutation
% See solution above
% 0.22/0.57
% 0.22/0.57 % Initial clauses : 7
% 0.22/0.57 % Processed clauses : 9
% 0.22/0.57 % Factors computed : 0
% 0.22/0.57 % Resolvents computed: 8
% 0.22/0.57 % Tautologies deleted: 0
% 0.22/0.57 % Forward subsumed : 0
% 0.22/0.57 % Backward subsumed : 0
% 0.22/0.57 % -------- CPU Time ---------
% 0.22/0.57 % User time : 0.188 s
% 0.22/0.57 % System time : 0.021 s
% 0.22/0.57 % Total time : 0.209 s
%------------------------------------------------------------------------------