%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL027-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 17:17:17 EDT 2024
% Result : Unsatisfiable 1.23s 1.40s
% Output : Refutation 1.23s
% 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,
( X8 != X7
| X7 != X9
| X8 = X9 ),
theory(equality) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X11),X10),X12) = apply(X11,apply(X10,X12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c4,plain,
( X40 != apply(apply(apply(b,X42),X43),X41)
| X40 = apply(X42,apply(X43,X41)) ),
inference(resolution,[status(thm)],[b_definition,transitivity]) ).
cnf(symmetry,axiom,
( X5 != X4
| X4 = X5 ),
theory(equality) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X16 != X19
| X18 != X17
| apply(X16,X18) = apply(X19,X17) ),
theory(equality) ).
cnf(c8,plain,
( X28 != X27
| apply(X28,X26) = apply(X27,X26) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c5,plain,
apply(X32,apply(X33,X31)) = apply(apply(apply(b,X32),X33),X31),
inference(resolution,[status(thm)],[b_definition,symmetry]) ).
cnf(c18,plain,
apply(apply(X136,apply(X137,X138)),X139) = apply(apply(apply(apply(b,X136),X137),X138),X139),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(h_definition,axiom,
apply(apply(apply(h,X24),X23),X25) = apply(apply(apply(X24,X23),X25),X23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_definition) ).
cnf(c14,plain,
apply(apply(apply(X39,X38),X37),X38) = apply(apply(apply(h,X39),X38),X37),
inference(resolution,[status(thm)],[h_definition,symmetry]) ).
cnf(c24,plain,
( X174 != apply(apply(apply(X175,X177),X176),X177)
| X174 = apply(apply(apply(h,X175),X177),X176) ),
inference(resolution,[status(thm)],[c14,transitivity]) ).
cnf(c250,plain,
apply(apply(X226,apply(X224,X225)),X224) = apply(apply(apply(h,apply(b,X226)),X224),X225),
inference(resolution,[status(thm)],[c24,c18]) ).
cnf(c393,plain,
apply(apply(apply(h,apply(b,X245)),X246),X247) = apply(apply(X245,apply(X246,X247)),X246),
inference(resolution,[status(thm)],[c250,symmetry]) ).
cnf(c440,plain,
apply(apply(apply(h,apply(b,apply(b,X687))),X688),X689) = apply(X687,apply(apply(X688,X689),X688)),
inference(resolution,[status(thm)],[c393,c4]) ).
cnf(c2028,plain,
$false,
inference(resolution,[status(thm)],[c440,prove_fixed_point]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : COL027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 21:50:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.23/1.40 % Version: 1.5
% 1.23/1.40 % SZS status Unsatisfiable
% 1.23/1.40 % SZS output start CNFRefutation
% See solution above
% 1.23/1.40
% 1.23/1.40 % Initial clauses : 7
% 1.23/1.40 % Processed clauses : 117
% 1.23/1.40 % Factors computed : 2
% 1.23/1.40 % Resolvents computed: 2130
% 1.23/1.40 % Tautologies deleted: 2
% 1.23/1.40 % Forward subsumed : 163
% 1.23/1.40 % Backward subsumed : 1
% 1.23/1.40 % -------- CPU Time ---------
% 1.23/1.40 % User time : 1.023 s
% 1.23/1.40 % System time : 0.013 s
% 1.23/1.40 % Total time : 1.036 s
%------------------------------------------------------------------------------