%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL023-1 : TPTP v8.1.2. Released v1.0.0.
% 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 17:17:16 EDT 2024
% Result : Unsatisfiable 0.97s 1.21s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 25 ( 24 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
X3 != apply(combinator,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(transitivity,axiom,
( X7 != X9
| X9 != X8
| X7 = X8 ),
theory(equality) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X10),X12),X11) = apply(X10,apply(X12,X11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c4,plain,
( X40 != apply(apply(apply(b,X41),X42),X43)
| X40 = apply(X41,apply(X42,X43)) ),
inference(resolution,[status(thm)],[b_definition,transitivity]) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X18 != X16
| X17 != X19
| apply(X18,X17) = apply(X16,X19) ),
theory(equality) ).
cnf(c8,plain,
( X26 != X28
| apply(X26,X27) = apply(X28,X27) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c5,plain,
apply(X31,apply(X32,X33)) = apply(apply(apply(b,X31),X32),X33),
inference(resolution,[status(thm)],[b_definition,symmetry]) ).
cnf(c18,plain,
apply(apply(X137,apply(X136,X138)),X139) = apply(apply(apply(apply(b,X137),X136),X138),X139),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(n_definition,axiom,
apply(apply(apply(n,X23),X25),X24) = apply(apply(apply(X23,X24),X25),X24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_definition) ).
cnf(c14,plain,
apply(apply(apply(X37,X39),X38),X39) = apply(apply(apply(n,X37),X38),X39),
inference(resolution,[status(thm)],[n_definition,symmetry]) ).
cnf(c24,plain,
( X166 != apply(apply(apply(X168,X165),X167),X165)
| X166 = apply(apply(apply(n,X168),X167),X165) ),
inference(resolution,[status(thm)],[c14,transitivity]) ).
cnf(c203,plain,
apply(apply(X201,apply(X203,X202)),X203) = apply(apply(apply(n,apply(b,X201)),X202),X203),
inference(resolution,[status(thm)],[c24,c18]) ).
cnf(c277,plain,
apply(apply(apply(n,apply(b,X216)),X218),X217) = apply(apply(X216,apply(X217,X218)),X217),
inference(resolution,[status(thm)],[c203,symmetry]) ).
cnf(c290,plain,
apply(apply(apply(n,apply(b,apply(b,X630))),X632),X631) = apply(X630,apply(apply(X631,X632),X631)),
inference(resolution,[status(thm)],[c277,c4]) ).
cnf(c1484,plain,
$false,
inference(resolution,[status(thm)],[c290,prove_fixed_point]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.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 21:50:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.97/1.21 % Version: 1.5
% 0.97/1.21 % SZS status Unsatisfiable
% 0.97/1.21 % SZS output start CNFRefutation
% See solution above
% 0.97/1.21
% 0.97/1.21 % Initial clauses : 7
% 0.97/1.21 % Processed clauses : 98
% 0.97/1.21 % Factors computed : 2
% 0.97/1.21 % Resolvents computed: 1525
% 0.97/1.21 % Tautologies deleted: 2
% 0.97/1.21 % Forward subsumed : 116
% 0.97/1.21 % Backward subsumed : 1
% 0.97/1.21 % -------- CPU Time ---------
% 0.97/1.21 % User time : 0.843 s
% 0.97/1.21 % System time : 0.019 s
% 0.97/1.21 % Total time : 0.862 s
%------------------------------------------------------------------------------