%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL070-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:17:26 EDT 2024
% Result : Unsatisfiable 1.06s 1.25s
% Output : Refutation 1.06s
% 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,
( X9 != X8
| X8 != X7
| X9 = X7 ),
theory(equality) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X25),X24),X23) = apply(X25,apply(X24,X23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(c12,plain,
( X56 != apply(apply(apply(b,X54),X53),X55)
| X56 = apply(X54,apply(X53,X55)) ),
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,
( X19 != X16
| X17 != X18
| apply(X19,X17) = apply(X16,X18) ),
theory(equality) ).
cnf(c7,plain,
( X26 != X28
| apply(X26,X27) = apply(X28,X27) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c11,plain,
apply(X31,apply(X33,X32)) = apply(apply(apply(b,X31),X33),X32),
inference(resolution,[status(thm)],[b_definition,symmetry]) ).
cnf(c22,plain,
apply(apply(X139,apply(X137,X138)),X136) = apply(apply(apply(apply(b,X139),X137),X138),X136),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(n1_definition,axiom,
apply(apply(apply(n1,X12),X11),X10) = apply(apply(apply(X12,X11),X11),X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1_definition) ).
cnf(c4,plain,
apply(apply(apply(X38,X37),X37),X39) = apply(apply(apply(n1,X38),X37),X39),
inference(resolution,[status(thm)],[n1_definition,symmetry]) ).
cnf(c24,plain,
( X174 != apply(apply(apply(X172,X171),X171),X173)
| X174 = apply(apply(apply(n1,X172),X171),X173) ),
inference(resolution,[status(thm)],[c4,transitivity]) ).
cnf(c217,plain,
apply(apply(X203,apply(X204,X204)),X202) = apply(apply(apply(n1,apply(b,X203)),X204),X202),
inference(resolution,[status(thm)],[c24,c22]) ).
cnf(c285,plain,
apply(apply(apply(n1,apply(b,X219)),X217),X218) = apply(apply(X219,apply(X217,X217)),X218),
inference(resolution,[status(thm)],[c217,symmetry]) ).
cnf(c313,plain,
apply(apply(apply(n1,apply(b,apply(b,X636))),X638),X637) = apply(X636,apply(apply(X638,X638),X637)),
inference(resolution,[status(thm)],[c285,c12]) ).
cnf(c1561,plain,
$false,
inference(resolution,[status(thm)],[c313,prove_fixed_point]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COL070-1 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 21:48:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 1.06/1.25 % Version: 1.5
% 1.06/1.25 % SZS status Unsatisfiable
% 1.06/1.25 % SZS output start CNFRefutation
% See solution above
% 1.06/1.25
% 1.06/1.25 % Initial clauses : 7
% 1.06/1.25 % Processed clauses : 97
% 1.06/1.25 % Factors computed : 2
% 1.06/1.25 % Resolvents computed: 1576
% 1.06/1.25 % Tautologies deleted: 2
% 1.06/1.25 % Forward subsumed : 117
% 1.06/1.25 % Backward subsumed : 1
% 1.06/1.25 % -------- CPU Time ---------
% 1.06/1.25 % User time : 0.865 s
% 1.06/1.25 % System time : 0.015 s
% 1.06/1.25 % Total time : 0.880 s
%------------------------------------------------------------------------------