%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 22 |; 13 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 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(pel32,conjecture,
! [X] :
( ( big_f(X)
& big_k(X) )
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32) ).
fof(c0,negated_conjecture,
~ ! [X] :
( ( big_f(X)
& big_k(X) )
=> big_j(X) ),
inference(assume_negation,[status(cth)],[pel32]) ).
fof(c1,negated_conjecture,
? [X] :
( big_f(X)
& big_k(X)
& ~ big_j(X) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2] :
( big_f(X2)
& big_k(X2)
& ~ big_j(X2) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
( big_f(skolem0001)
& big_k(skolem0001)
& ~ big_j(skolem0001) ),
inference(skolemize,[status(esa)],[c2]) ).
cnf(c6,negated_conjecture,
~ big_j(skolem0001),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c5,negated_conjecture,
big_k(skolem0001),
inference(split_conjunct,[status(thm)],[c3]) ).
fof(pel32_3,axiom,
! [X] :
( big_k(X)
=> big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32_3) ).
fof(c7,plain,
! [X] :
( ~ big_k(X)
| big_h(X) ),
inference(fof_nnf,[status(thm)],[pel32_3]) ).
fof(c8,plain,
! [X3] :
( ~ big_k(X3)
| big_h(X3) ),
inference(variable_rename,[status(thm)],[c7]) ).
cnf(c9,plain,
( ~ big_k(X6)
| big_h(X6) ),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(c18,plain,
big_h(skolem0001),
inference(resolution,[status(thm)],[c9,c5]) ).
fof(pel32_2,axiom,
! [X] :
( ( big_i(X)
& big_h(X) )
=> big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32_2) ).
fof(c10,plain,
! [X] :
( ~ big_i(X)
| ~ big_h(X)
| big_j(X) ),
inference(fof_nnf,[status(thm)],[pel32_2]) ).
fof(c11,plain,
! [X4] :
( ~ big_i(X4)
| ~ big_h(X4)
| big_j(X4) ),
inference(variable_rename,[status(thm)],[c10]) ).
cnf(c12,plain,
( ~ big_i(X7)
| ~ big_h(X7)
| big_j(X7) ),
inference(split_conjunct,[status(thm)],[c11]) ).
cnf(c19,plain,
( ~ big_i(skolem0001)
| big_j(skolem0001) ),
inference(resolution,[status(thm)],[c12,c18]) ).
cnf(c4,negated_conjecture,
big_f(skolem0001),
inference(split_conjunct,[status(thm)],[c3]) ).
fof(pel32_1,axiom,
! [X] :
( ( big_f(X)
& ( big_g(X)
| big_h(X) ) )
=> big_i(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel32_1) ).
fof(c13,plain,
! [X] :
( ~ big_f(X)
| ( ~ big_g(X)
& ~ big_h(X) )
| big_i(X) ),
inference(fof_nnf,[status(thm)],[pel32_1]) ).
fof(c14,plain,
! [X5] :
( ~ big_f(X5)
| ( ~ big_g(X5)
& ~ big_h(X5) )
| big_i(X5) ),
inference(variable_rename,[status(thm)],[c13]) ).
fof(c15,plain,
! [X5] :
( ( ~ big_f(X5)
| ~ big_g(X5)
| big_i(X5) )
& ( ~ big_f(X5)
| ~ big_h(X5)
| big_i(X5) ) ),
inference(distribute,[status(thm)],[c14]) ).
cnf(c17,plain,
( ~ big_f(X9)
| ~ big_h(X9)
| big_i(X9) ),
inference(split_conjunct,[status(thm)],[c15]) ).
cnf(c20,plain,
( ~ big_f(skolem0001)
| big_i(skolem0001) ),
inference(resolution,[status(thm)],[c17,c18]) ).
cnf(c21,plain,
big_i(skolem0001),
inference(resolution,[status(thm)],[c20,c4]) ).
cnf(c22,plain,
big_j(skolem0001),
inference(resolution,[status(thm)],[c21,c19]) ).
cnf(c23,plain,
$false,
inference(resolution,[status(thm)],[c22,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN062+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 20:04:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.22/0.54 % Version: 1.5
% 0.22/0.54 % SZS status Theorem
% 0.22/0.54 % SZS output start CNFRefutation
% See solution above
% 0.22/0.54
% 0.22/0.54 % Initial clauses : 7
% 0.22/0.54 % Processed clauses : 12
% 0.22/0.54 % Factors computed : 0
% 0.22/0.54 % Resolvents computed: 6
% 0.22/0.54 % Tautologies deleted: 0
% 0.22/0.54 % Forward subsumed : 0
% 0.22/0.54 % Backward subsumed : 2
% 0.22/0.54 % -------- CPU Time ---------
% 0.22/0.54 % User time : 0.159 s
% 0.22/0.54 % System time : 0.014 s
% 0.22/0.54 % Total time : 0.173 s
%------------------------------------------------------------------------------