%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN054+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:47:12 EDT 2024
% Result : Theorem 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 5 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 29 ~; 29 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 11 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel24_4,axiom,
! [X] :
( ( big_q(X)
| big_r(X) )
=> big_s(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_4) ).
fof(c4,plain,
! [X] :
( ( ~ big_q(X)
& ~ big_r(X) )
| big_s(X) ),
inference(fof_nnf,[status(thm)],[pel24_4]) ).
fof(c5,plain,
! [X3] :
( ( ~ big_q(X3)
& ~ big_r(X3) )
| big_s(X3) ),
inference(variable_rename,[status(thm)],[c4]) ).
fof(c6,plain,
! [X3] :
( ( ~ big_q(X3)
| big_s(X3) )
& ( ~ big_r(X3)
| big_s(X3) ) ),
inference(distribute,[status(thm)],[c5]) ).
cnf(c7,plain,
( ~ big_q(X9)
| big_s(X9) ),
inference(split_conjunct,[status(thm)],[c6]) ).
fof(pel24_3,axiom,
( ~ ? [X] : big_p(X)
=> ? [Y] : big_q(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_3) ).
fof(c9,plain,
( ? [X] : big_p(X)
| ? [Y] : big_q(Y) ),
inference(fof_nnf,[status(thm)],[pel24_3]) ).
fof(c10,plain,
( ? [X4] : big_p(X4)
| ? [X5] : big_q(X5) ),
inference(variable_rename,[status(thm)],[c9]) ).
fof(c11,plain,
( big_p(skolem0001)
| big_q(skolem0002) ),
inference(skolemize,[status(esa)],[c10]) ).
cnf(c12,plain,
( big_p(skolem0001)
| big_q(skolem0002) ),
inference(split_conjunct,[status(thm)],[c11]) ).
cnf(c19,plain,
( big_p(skolem0001)
| big_s(skolem0002) ),
inference(resolution,[status(thm)],[c12,c7]) ).
fof(pel24_1,axiom,
~ ? [X] :
( big_s(X)
& big_q(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_1) ).
fof(c16,plain,
! [X] :
( ~ big_s(X)
| ~ big_q(X) ),
inference(fof_nnf,[status(thm)],[pel24_1]) ).
fof(c17,plain,
! [X7] :
( ~ big_s(X7)
| ~ big_q(X7) ),
inference(variable_rename,[status(thm)],[c16]) ).
cnf(c18,plain,
( ~ big_s(X11)
| ~ big_q(X11) ),
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c20,plain,
( big_p(skolem0001)
| ~ big_s(skolem0002) ),
inference(resolution,[status(thm)],[c12,c18]) ).
cnf(c23,plain,
big_p(skolem0001),
inference(resolution,[status(thm)],[c20,c19]) ).
fof(pel24,conjecture,
? [X] :
( big_p(X)
& big_r(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24) ).
fof(c0,negated_conjecture,
~ ? [X] :
( big_p(X)
& big_r(X) ),
inference(assume_negation,[status(cth)],[pel24]) ).
fof(c1,negated_conjecture,
! [X] :
( ~ big_p(X)
| ~ big_r(X) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2] :
( ~ big_p(X2)
| ~ big_r(X2) ),
inference(variable_rename,[status(thm)],[c1]) ).
cnf(c3,negated_conjecture,
( ~ big_p(X8)
| ~ big_r(X8) ),
inference(split_conjunct,[status(thm)],[c2]) ).
cnf(c8,plain,
( ~ big_r(X10)
| big_s(X10) ),
inference(split_conjunct,[status(thm)],[c6]) ).
fof(pel24_2,axiom,
! [X] :
( big_p(X)
=> ( big_q(X)
| big_r(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel24_2) ).
fof(c13,plain,
! [X] :
( ~ big_p(X)
| big_q(X)
| big_r(X) ),
inference(fof_nnf,[status(thm)],[pel24_2]) ).
fof(c14,plain,
! [X6] :
( ~ big_p(X6)
| big_q(X6)
| big_r(X6) ),
inference(variable_rename,[status(thm)],[c13]) ).
cnf(c15,plain,
( ~ big_p(X12)
| big_q(X12)
| big_r(X12) ),
inference(split_conjunct,[status(thm)],[c14]) ).
cnf(c24,plain,
( big_q(skolem0001)
| big_r(skolem0001) ),
inference(resolution,[status(thm)],[c23,c15]) ).
cnf(c25,plain,
( big_r(skolem0001)
| big_s(skolem0001) ),
inference(resolution,[status(thm)],[c24,c7]) ).
cnf(c30,plain,
big_s(skolem0001),
inference(resolution,[status(thm)],[c25,c8]) ).
cnf(c26,plain,
( big_r(skolem0001)
| ~ big_s(skolem0001) ),
inference(resolution,[status(thm)],[c24,c18]) ).
cnf(c31,plain,
big_r(skolem0001),
inference(resolution,[status(thm)],[c26,c30]) ).
cnf(c32,plain,
~ big_p(skolem0001),
inference(resolution,[status(thm)],[c31,c3]) ).
cnf(c34,plain,
$false,
inference(resolution,[status(thm)],[c32,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN054+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 20:36:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.36/0.53 % Version: 1.5
% 0.36/0.53 % SZS status Theorem
% 0.36/0.53 % SZS output start CNFRefutation
% See solution above
% 0.36/0.53
% 0.36/0.53 % Initial clauses : 6
% 0.36/0.53 % Processed clauses : 15
% 0.36/0.53 % Factors computed : 0
% 0.36/0.53 % Resolvents computed: 16
% 0.36/0.53 % Tautologies deleted: 0
% 0.36/0.53 % Forward subsumed : 1
% 0.36/0.53 % Backward subsumed : 6
% 0.36/0.53 % -------- CPU Time ---------
% 0.36/0.53 % User time : 0.168 s
% 0.36/0.53 % System time : 0.015 s
% 0.36/0.53 % Total time : 0.183 s
%------------------------------------------------------------------------------