%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 28.94s 29.12s
% Output : Refutation 28.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 7 RR)
% Number of literals : 28 ( 27 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 52 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_diagonal_combinator,negated_conjecture,
apply(apply(X23,b(X23)),c(X23)) != apply(b(X23),b(X23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_diagonal_combinator) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
theory(equality) ).
cnf(transitivity,axiom,
( X15 != X16
| X16 != X17
| X15 = X17 ),
theory(equality) ).
cnf(abstraction,axiom,
apply(apply(apply(abstraction,X10),X11),X12) = apply(apply(X10,apply(k,X12)),apply(X11,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
cnf(c6,plain,
apply(apply(X46,apply(k,X47)),apply(X48,X47)) = apply(apply(apply(abstraction,X46),X48),X47),
inference(resolution,[status(thm)],[abstraction,symmetry]) ).
cnf(c41,plain,
( X300 != apply(apply(X301,apply(k,X302)),apply(X303,X302))
| X300 = apply(apply(apply(abstraction,X301),X303),X302) ),
inference(resolution,[status(thm)],[c6,transitivity]) ).
cnf(k_definition,axiom,
apply(apply(k,X6),X7) = X6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
cnf(c4,plain,
X8 = apply(apply(k,X8),X9),
inference(resolution,[status(thm)],[k_definition,symmetry]) ).
cnf(c0,axiom,
( X34 != X32
| X35 != X33
| apply(X34,X35) = apply(X32,X33) ),
theory(equality) ).
cnf(c28,plain,
( X161 != X159
| apply(X161,X158) = apply(X159,apply(apply(k,X158),X160)) ),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(c272,plain,
apply(X1339,X1342) = apply(apply(apply(k,X1339),X1340),apply(apply(k,X1342),X1341)),
inference(resolution,[status(thm)],[c28,c4]) ).
cnf(c5272,plain,
apply(X2929,X2927) = apply(apply(apply(abstraction,apply(k,X2929)),apply(k,X2927)),X2928),
inference(resolution,[status(thm)],[c272,c41]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c25,plain,
( X42 != X41
| apply(X42,X43) = apply(X41,X43) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c39,plain,
apply(apply(apply(X263,apply(k,X264)),apply(X262,X264)),X261) = apply(apply(apply(apply(abstraction,X263),X262),X264),X261),
inference(resolution,[status(thm)],[c6,c25]) ).
cnf(c554,plain,
( X6483 != apply(apply(apply(X6480,apply(k,X6481)),apply(X6484,X6481)),X6482)
| X6483 = apply(apply(apply(apply(abstraction,X6480),X6484),X6481),X6482) ),
inference(resolution,[status(thm)],[c39,transitivity]) ).
cnf(c42166,plain,
apply(X6488,X6488) = apply(apply(apply(apply(abstraction,abstraction),k),X6488),X6489),
inference(resolution,[status(thm)],[c554,c5272]) ).
cnf(c42366,plain,
apply(apply(apply(apply(abstraction,abstraction),k),X6495),X6494) = apply(X6495,X6495),
inference(resolution,[status(thm)],[c42166,symmetry]) ).
cnf(c42457,plain,
$false,
inference(resolution,[status(thm)],[c42366,prove_diagonal_combinator]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL075-2 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 21:48:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 28.94/29.12 % Version: 1.5
% 28.94/29.12 % SZS status Unsatisfiable
% 28.94/29.12 % SZS output start CNFRefutation
% See solution above
% 28.94/29.12
% 28.94/29.12 % Initial clauses : 9
% 28.94/29.12 % Processed clauses : 725
% 28.94/29.12 % Factors computed : 2
% 28.94/29.12 % Resolvents computed: 42535
% 28.94/29.12 % Tautologies deleted: 2
% 28.94/29.12 % Forward subsumed : 1307
% 28.94/29.12 % Backward subsumed : 8
% 28.94/29.12 % -------- CPU Time ---------
% 28.94/29.12 % User time : 28.655 s
% 28.94/29.12 % System time : 0.105 s
% 28.94/29.12 % Total time : 28.760 s
%------------------------------------------------------------------------------