%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV011+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 17:44:06 EDT 2024
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax3,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(c7,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(split_conjunct,[status(thm)],[ax3]) ).
fof(co1,conjecture,
? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c0,negated_conjecture,
~ ? [U] :
( a_holds(key(U,b))
& b_holds(key(U,a)) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c1,negated_conjecture,
! [U] :
( ~ a_holds(key(U,b))
| ~ b_holds(key(U,a)) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2] :
( ~ a_holds(key(X2,b))
| ~ b_holds(key(X2,a)) ),
inference(variable_rename,[status(thm)],[c1]) ).
cnf(c3,negated_conjecture,
( ~ a_holds(key(X3,b))
| ~ b_holds(key(X3,a)) ),
inference(split_conjunct,[status(thm)],[c2]) ).
fof(ax1,axiom,
b_holds(key(generate_key(an_a_nonce),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(c9,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c20,plain,
~ a_holds(key(generate_key(an_a_nonce),b)),
inference(resolution,[status(thm)],[c9,c3]) ).
cnf(c21,plain,
$false,
inference(resolution,[status(thm)],[c20,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV011+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n021.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 : Thu May 9 05:43:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.53 % Version: 1.5
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 % SZS output start CNFRefutation
% See solution above
% 0.19/0.53
% 0.19/0.53 % Initial clauses : 17
% 0.19/0.53 % Processed clauses : 15
% 0.19/0.53 % Factors computed : 0
% 0.19/0.53 % Resolvents computed: 2
% 0.19/0.53 % Tautologies deleted: 0
% 0.19/0.53 % Forward subsumed : 0
% 0.19/0.53 % Backward subsumed : 0
% 0.19/0.53 % -------- CPU Time ---------
% 0.19/0.53 % User time : 0.175 s
% 0.19/0.53 % System time : 0.018 s
% 0.19/0.53 % Total time : 0.193 s
%------------------------------------------------------------------------------