%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN079+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:47:18 EDT 2024
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel57,conjecture,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57) ).
fof(c0,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(assume_negation,[status(cth)],[pel57]) ).
fof(c1,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(fof_simplification,[status(thm)],[c0]) ).
cnf(c2,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
inference(split_conjunct,[status(thm)],[c1]) ).
fof(pel57_1,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_1) ).
cnf(c7,plain,
big_f(f(a,b),f(b,c)),
inference(split_conjunct,[status(thm)],[pel57_1]) ).
fof(pel57_3,axiom,
! [X,Y,Z] :
( ( big_f(X,Y)
& big_f(Y,Z) )
=> big_f(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_3) ).
fof(c3,plain,
! [X,Y,Z] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z)
| big_f(X,Z) ),
inference(fof_nnf,[status(thm)],[pel57_3]) ).
fof(c4,plain,
! [X2,X3,X4] :
( ~ big_f(X2,X3)
| ~ big_f(X3,X4)
| big_f(X2,X4) ),
inference(variable_rename,[status(thm)],[c3]) ).
cnf(c5,plain,
( ~ big_f(X6,X5)
| ~ big_f(X5,X7)
| big_f(X6,X7) ),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(pel57_2,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel57_2) ).
cnf(c6,plain,
big_f(f(b,c),f(a,c)),
inference(split_conjunct,[status(thm)],[pel57_2]) ).
cnf(c9,plain,
( ~ big_f(X9,f(b,c))
| big_f(X9,f(a,c)) ),
inference(resolution,[status(thm)],[c6,c5]) ).
cnf(c11,plain,
big_f(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(c12,plain,
$false,
inference(resolution,[status(thm)],[c11,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN079+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n024.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 19:49:23 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 : 4
% 0.18/0.50 % Processed clauses : 6
% 0.18/0.50 % Factors computed : 1
% 0.18/0.50 % Resolvents computed: 5
% 0.18/0.50 % Tautologies deleted: 1
% 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 : 0.152 s
% 0.18/0.50 % System time : 0.018 s
% 0.18/0.50 % Total time : 0.169 s
%------------------------------------------------------------------------------