%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN080+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:47:19 EDT 2024
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 26 ( 8 sgn 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel58,conjecture,
! [X,Y] : f(f(X)) = f(g(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel58) ).
fof(c2,negated_conjecture,
~ ! [X,Y] : f(f(X)) = f(g(Y)),
inference(assume_negation,[status(cth)],[pel58]) ).
fof(c3,negated_conjecture,
? [X,Y] : f(f(X)) != f(g(Y)),
inference(fof_nnf,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
? [X2,X3] : f(f(X2)) != f(g(X3)),
inference(variable_rename,[status(thm)],[c3]) ).
fof(c5,negated_conjecture,
f(f(skolem0001)) != f(g(skolem0002)),
inference(skolemize,[status(esa)],[c4]) ).
cnf(c6,negated_conjecture,
f(f(skolem0001)) != f(g(skolem0002)),
inference(split_conjunct,[status(thm)],[c5]) ).
fof(pel58_1,axiom,
! [X,Y] : f(X) = g(Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel58_1) ).
fof(c7,plain,
! [X4,X5] : f(X4) = g(X5),
inference(variable_rename,[status(thm)],[pel58_1]) ).
cnf(c8,plain,
f(X11) = g(X10),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(symmetry,axiom,
( X7 != X8
| X8 = X7 ),
theory(equality) ).
cnf(c10,plain,
g(X13) = f(X12),
inference(resolution,[status(thm)],[c8,symmetry]) ).
cnf(transitivity,axiom,
( X14 != X15
| X15 != X16
| X14 = X16 ),
theory(equality) ).
cnf(c15,plain,
( X37 != g(X39)
| X37 = f(X38) ),
inference(resolution,[status(thm)],[transitivity,c10]) ).
cnf(c29,plain,
f(X44) = f(X45),
inference(resolution,[status(thm)],[c15,c8]) ).
cnf(c32,plain,
$false,
inference(resolution,[status(thm)],[c29,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN080+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 20:01:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.37/0.55 % Version: 1.5
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 % SZS output start CNFRefutation
% See solution above
% 0.37/0.55
% 0.37/0.55 % Initial clauses : 7
% 0.37/0.55 % Processed clauses : 12
% 0.37/0.55 % Factors computed : 1
% 0.37/0.55 % Resolvents computed: 24
% 0.37/0.55 % Tautologies deleted: 2
% 0.37/0.55 % Forward subsumed : 8
% 0.37/0.55 % Backward subsumed : 2
% 0.37/0.55 % -------- CPU Time ---------
% 0.37/0.55 % User time : 0.181 s
% 0.37/0.55 % System time : 0.018 s
% 0.37/0.55 % Total time : 0.199 s
%------------------------------------------------------------------------------