%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN061+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 24 ~; 13 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel31_2,axiom,
? [X] :
( big_i(X)
& big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel31_2) ).
fof(c8,plain,
? [X4] :
( big_i(X4)
& big_f(X4) ),
inference(variable_rename,[status(thm)],[pel31_2]) ).
fof(c9,plain,
( big_i(skolem0001)
& big_f(skolem0001) ),
inference(skolemize,[status(esa)],[c8]) ).
cnf(c11,plain,
big_f(skolem0001),
inference(split_conjunct,[status(thm)],[c9]) ).
fof(pel31_1,axiom,
~ ? [X] :
( big_f(X)
& ( big_g(X)
| big_h(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel31_1) ).
fof(c12,plain,
! [X] :
( ~ big_f(X)
| ( ~ big_g(X)
& ~ big_h(X) ) ),
inference(fof_nnf,[status(thm)],[pel31_1]) ).
fof(c13,plain,
! [X5] :
( ~ big_f(X5)
| ( ~ big_g(X5)
& ~ big_h(X5) ) ),
inference(variable_rename,[status(thm)],[c12]) ).
fof(c14,plain,
! [X5] :
( ( ~ big_f(X5)
| ~ big_g(X5) )
& ( ~ big_f(X5)
| ~ big_h(X5) ) ),
inference(distribute,[status(thm)],[c13]) ).
cnf(c16,plain,
( ~ big_f(X9)
| ~ big_h(X9) ),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c10,plain,
big_i(skolem0001),
inference(split_conjunct,[status(thm)],[c9]) ).
fof(pel31,conjecture,
? [X] :
( big_i(X)
& big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel31) ).
fof(c0,negated_conjecture,
~ ? [X] :
( big_i(X)
& big_j(X) ),
inference(assume_negation,[status(cth)],[pel31]) ).
fof(c1,negated_conjecture,
! [X] :
( ~ big_i(X)
| ~ big_j(X) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2] :
( ~ big_i(X2)
| ~ big_j(X2) ),
inference(variable_rename,[status(thm)],[c1]) ).
cnf(c3,negated_conjecture,
( ~ big_i(X6)
| ~ big_j(X6) ),
inference(split_conjunct,[status(thm)],[c2]) ).
fof(pel31_3,axiom,
! [X] :
( ~ big_h(X)
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel31_3) ).
fof(c4,plain,
! [X] :
( ~ big_h(X)
=> big_j(X) ),
inference(fof_simplification,[status(thm)],[pel31_3]) ).
fof(c5,plain,
! [X] :
( big_h(X)
| big_j(X) ),
inference(fof_nnf,[status(thm)],[c4]) ).
fof(c6,plain,
! [X3] :
( big_h(X3)
| big_j(X3) ),
inference(variable_rename,[status(thm)],[c5]) ).
cnf(c7,plain,
( big_h(X7)
| big_j(X7) ),
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(c17,plain,
( big_h(X10)
| ~ big_i(X10) ),
inference(resolution,[status(thm)],[c7,c3]) ).
cnf(c19,plain,
big_h(skolem0001),
inference(resolution,[status(thm)],[c17,c10]) ).
cnf(c20,plain,
~ big_f(skolem0001),
inference(resolution,[status(thm)],[c19,c16]) ).
cnf(c21,plain,
$false,
inference(resolution,[status(thm)],[c20,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN061+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n017.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 : Wed May 8 20:02:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.50 % Version: 1.5
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 % SZS output start CNFRefutation
% See solution above
% 0.18/0.50
% 0.18/0.50 % Initial clauses : 6
% 0.18/0.50 % Processed clauses : 9
% 0.18/0.50 % Factors computed : 0
% 0.18/0.50 % Resolvents computed: 5
% 0.18/0.50 % Tautologies deleted: 0
% 0.18/0.50 % Forward subsumed : 0
% 0.18/0.50 % Backward subsumed : 0
% 0.18/0.50 % -------- CPU Time ---------
% 0.18/0.50 % User time : 0.156 s
% 0.18/0.50 % System time : 0.017 s
% 0.18/0.50 % Total time : 0.173 s
%------------------------------------------------------------------------------