%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:47:17 EDT 2024
% Result : Theorem 0.47s 0.69s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 18 unt; 0 def)
% Number of atoms : 76 ( 42 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 18 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 30 ( 3 sgn 5 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel49_4,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_4) ).
cnf(c6,plain,
a != b,
inference(split_conjunct,[status(thm)],[pel49_4]) ).
cnf(symmetry,axiom,
( X8 != X7
| X7 = X8 ),
theory(equality) ).
fof(pel49,conjecture,
! [X] : big_p(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49) ).
fof(c1,negated_conjecture,
~ ! [X] : big_p(X),
inference(assume_negation,[status(cth)],[pel49]) ).
fof(c2,negated_conjecture,
? [X] : ~ big_p(X),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2] : ~ big_p(X2),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
~ big_p(skolem0001),
inference(skolemize,[status(esa)],[c3]) ).
cnf(c5,negated_conjecture,
~ big_p(skolem0001),
inference(split_conjunct,[status(thm)],[c4]) ).
fof(pel49_2,axiom,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_2) ).
cnf(c8,plain,
big_p(a),
inference(split_conjunct,[status(thm)],[pel49_2]) ).
cnf(c0,axiom,
( X11 != X10
| ~ big_p(X11)
| big_p(X10) ),
theory(equality) ).
fof(pel49_1,axiom,
? [X,Y] :
! [Z] :
( Z = X
| Z = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_1) ).
fof(c9,plain,
? [X3,X4] :
! [X5] :
( X5 = X3
| X5 = X4 ),
inference(variable_rename,[status(thm)],[pel49_1]) ).
fof(c10,plain,
! [X5] :
( X5 = skolem0002
| X5 = skolem0003 ),
inference(skolemize,[status(esa)],[c9]) ).
cnf(c11,plain,
( X13 = skolem0002
| X13 = skolem0003 ),
inference(split_conjunct,[status(thm)],[c10]) ).
cnf(c16,plain,
( X29 = skolem0002
| ~ big_p(X29)
| big_p(skolem0003) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(c47,plain,
( a = skolem0002
| big_p(skolem0003) ),
inference(resolution,[status(thm)],[c16,c8]) ).
cnf(c66,plain,
( big_p(skolem0003)
| skolem0002 = a ),
inference(resolution,[status(thm)],[c47,symmetry]) ).
cnf(c15,plain,
( X14 = skolem0003
| skolem0002 = X14 ),
inference(resolution,[status(thm)],[c11,symmetry]) ).
cnf(c19,plain,
( skolem0002 = X22
| skolem0003 = X22 ),
inference(resolution,[status(thm)],[c15,symmetry]) ).
cnf(c34,plain,
( skolem0003 = X44
| ~ big_p(skolem0002)
| big_p(X44) ),
inference(resolution,[status(thm)],[c19,c0]) ).
cnf(c14,plain,
( X24 = skolem0003
| ~ big_p(X24)
| big_p(skolem0002) ),
inference(resolution,[status(thm)],[c11,c0]) ).
cnf(c41,plain,
( a = skolem0003
| big_p(skolem0002) ),
inference(resolution,[status(thm)],[c14,c8]) ).
cnf(transitivity,axiom,
( X17 != X15
| X15 != X16
| X17 = X16 ),
theory(equality) ).
fof(pel49_3,axiom,
big_p(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel49_3) ).
cnf(c7,plain,
big_p(b),
inference(split_conjunct,[status(thm)],[pel49_3]) ).
cnf(c40,plain,
( b = skolem0003
| big_p(skolem0002) ),
inference(resolution,[status(thm)],[c14,c7]) ).
cnf(c44,plain,
( big_p(skolem0002)
| skolem0003 = b ),
inference(resolution,[status(thm)],[c40,symmetry]) ).
cnf(c57,plain,
( big_p(skolem0002)
| X92 != skolem0003
| X92 = b ),
inference(resolution,[status(thm)],[c44,transitivity]) ).
cnf(c426,plain,
( big_p(skolem0002)
| a = b ),
inference(resolution,[status(thm)],[c57,c41]) ).
cnf(c440,plain,
big_p(skolem0002),
inference(resolution,[status(thm)],[c426,c6]) ).
cnf(c444,plain,
( skolem0003 = X94
| big_p(X94) ),
inference(resolution,[status(thm)],[c440,c34]) ).
cnf(c458,plain,
( big_p(X95)
| ~ big_p(skolem0003) ),
inference(resolution,[status(thm)],[c444,c0]) ).
cnf(c490,plain,
( big_p(X102)
| skolem0002 = a ),
inference(resolution,[status(thm)],[c458,c66]) ).
cnf(c545,plain,
skolem0002 = a,
inference(resolution,[status(thm)],[c490,c5]) ).
cnf(c556,plain,
a = skolem0002,
inference(resolution,[status(thm)],[c545,symmetry]) ).
cnf(c46,plain,
( b = skolem0002
| big_p(skolem0003) ),
inference(resolution,[status(thm)],[c16,c7]) ).
cnf(c61,plain,
( big_p(skolem0003)
| skolem0002 = b ),
inference(resolution,[status(thm)],[c46,symmetry]) ).
cnf(c489,plain,
( big_p(X100)
| skolem0002 = b ),
inference(resolution,[status(thm)],[c458,c61]) ).
cnf(c509,plain,
skolem0002 = b,
inference(resolution,[status(thm)],[c489,c5]) ).
cnf(c523,plain,
( X124 != skolem0002
| X124 = b ),
inference(resolution,[status(thm)],[c509,transitivity]) ).
cnf(c678,plain,
a = b,
inference(resolution,[status(thm)],[c523,c556]) ).
cnf(c696,plain,
$false,
inference(resolution,[status(thm)],[c678,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN072+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 20:17:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.47/0.69 % Version: 1.5
% 0.47/0.69 % SZS status Theorem
% 0.47/0.69 % SZS output start CNFRefutation
% See solution above
% 0.47/0.69
% 0.47/0.69 % Initial clauses : 9
% 0.47/0.69 % Processed clauses : 72
% 0.47/0.69 % Factors computed : 5
% 0.47/0.69 % Resolvents computed: 682
% 0.47/0.69 % Tautologies deleted: 10
% 0.47/0.69 % Forward subsumed : 128
% 0.47/0.69 % Backward subsumed : 30
% 0.47/0.69 % -------- CPU Time ---------
% 0.47/0.69 % User time : 0.331 s
% 0.47/0.69 % System time : 0.016 s
% 0.47/0.69 % Total time : 0.347 s
%------------------------------------------------------------------------------