%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP142-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 17:23:17 EDT 2024
% Result : Unsatisfiable 0.51s 0.70s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 14 ( 13 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ax_glb2a,negated_conjecture,
least_upper_bound(greatest_lower_bound(a,b),a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb2a) ).
cnf(symmetry,axiom,
( X6 != X7
| X7 = X6 ),
theory(equality) ).
cnf(lub_absorbtion,axiom,
least_upper_bound(X23,greatest_lower_bound(X23,X24)) = X23,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
cnf(c15,plain,
X35 = least_upper_bound(X35,greatest_lower_bound(X35,X36)),
inference(resolution,[status(thm)],[lub_absorbtion,symmetry]) ).
cnf(symmetry_of_lub,axiom,
least_upper_bound(X21,X22) = least_upper_bound(X22,X21),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).
cnf(transitivity,axiom,
( X47 != X49
| X49 != X48
| X47 = X48 ),
theory(equality) ).
cnf(c26,plain,
( X162 != least_upper_bound(X163,X161)
| X162 = least_upper_bound(X161,X163) ),
inference(resolution,[status(thm)],[transitivity,symmetry_of_lub]) ).
cnf(c475,plain,
X170 = least_upper_bound(greatest_lower_bound(X170,X171),X170),
inference(resolution,[status(thm)],[c26,c15]) ).
cnf(c487,plain,
least_upper_bound(greatest_lower_bound(X178,X179),X178) = X178,
inference(resolution,[status(thm)],[c475,symmetry]) ).
cnf(c510,plain,
$false,
inference(resolution,[status(thm)],[c487,prove_ax_glb2a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP142-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 04:01:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.51/0.70 % Version: 1.5
% 0.51/0.70 % SZS status Unsatisfiable
% 0.51/0.70 % SZS output start CNFRefutation
% See solution above
% 0.51/0.70
% 0.51/0.70 % Initial clauses : 23
% 0.51/0.70 % Processed clauses : 61
% 0.51/0.70 % Factors computed : 4
% 0.51/0.70 % Resolvents computed: 509
% 0.51/0.70 % Tautologies deleted: 2
% 0.51/0.70 % Forward subsumed : 54
% 0.51/0.70 % Backward subsumed : 0
% 0.51/0.70 % -------- CPU Time ---------
% 0.51/0.70 % User time : 0.328 s
% 0.51/0.70 % System time : 0.018 s
% 0.51/0.70 % Total time : 0.346 s
%------------------------------------------------------------------------------