%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COL026-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 11.03s 11.21s
% Output : Refutation 11.03s
% 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 : 5 ( 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
X3 != apply(combinator,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(transitivity,axiom,
( X8 != X9
| X9 != X7
| X8 = X7 ),
theory(equality) ).
cnf(b_definition,axiom,
apply(apply(apply(b,X11),X12),X10) = apply(X11,apply(X12,X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(c5,plain,
( X40 != apply(apply(apply(b,X39),X37),X38)
| X40 = apply(X39,apply(X37,X38)) ),
inference(resolution,[status(thm)],[b_definition,transitivity]) ).
cnf(symmetry,axiom,
( X4 != X5
| X5 = X4 ),
theory(equality) ).
cnf(w1_definition,axiom,
apply(apply(w1,X16),X17) = apply(apply(X17,X16),X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w1_definition) ).
cnf(c6,plain,
apply(apply(X19,X18),X18) = apply(apply(w1,X18),X19),
inference(resolution,[status(thm)],[w1_definition,symmetry]) ).
cnf(c9,plain,
( X57 != apply(apply(X55,X56),X56)
| X57 = apply(apply(w1,X56),X55) ),
inference(resolution,[status(thm)],[c6,transitivity]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c0,axiom,
( X25 != X22
| X24 != X23
| apply(X25,X24) = apply(X22,X23) ),
theory(equality) ).
cnf(c14,plain,
( X29 != X31
| apply(X29,X30) = apply(X31,X30) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c4,plain,
apply(X35,apply(X34,X36)) = apply(apply(apply(b,X35),X34),X36),
inference(resolution,[status(thm)],[b_definition,symmetry]) ).
cnf(c23,plain,
apply(apply(X146,apply(X148,X147)),X145) = apply(apply(apply(apply(b,X146),X148),X147),X145),
inference(resolution,[status(thm)],[c4,c14]) ).
cnf(c224,plain,
apply(apply(X471,apply(X470,X469)),X469) = apply(apply(w1,X469),apply(apply(b,X471),X470)),
inference(resolution,[status(thm)],[c23,c9]) ).
cnf(c1431,plain,
apply(apply(w1,X576),apply(apply(b,X577),X575)) = apply(apply(X577,apply(X575,X576)),X576),
inference(resolution,[status(thm)],[c224,symmetry]) ).
cnf(c1844,plain,
apply(apply(w1,X2464),apply(apply(b,apply(b,X2465)),X2463)) = apply(X2465,apply(apply(X2463,X2464),X2464)),
inference(resolution,[status(thm)],[c1431,c5]) ).
cnf(c18727,plain,
$false,
inference(resolution,[status(thm)],[c1844,prove_fixed_point]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 21:48:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 11.03/11.21 % Version: 1.5
% 11.03/11.21 % SZS status Unsatisfiable
% 11.03/11.21 % SZS output start CNFRefutation
% See solution above
% 11.03/11.21
% 11.03/11.21 % Initial clauses : 7
% 11.03/11.21 % Processed clauses : 418
% 11.03/11.21 % Factors computed : 2
% 11.03/11.21 % Resolvents computed: 18812
% 11.03/11.21 % Tautologies deleted: 2
% 11.03/11.21 % Forward subsumed : 732
% 11.03/11.21 % Backward subsumed : 3
% 11.03/11.21 % -------- CPU Time ---------
% 11.03/11.21 % User time : 10.800 s
% 11.03/11.21 % System time : 0.059 s
% 11.03/11.21 % Total time : 10.859 s
%------------------------------------------------------------------------------