%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP152-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 17:23:18 EDT 2024
% Result : Unsatisfiable 5.33s 5.55s
% Output : Refutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 27 ( 26 equ; 9 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ax_lub3a,negated_conjecture,
least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub3a) ).
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,
( X48 != X49
| X49 != X47
| X48 = X47 ),
theory(equality) ).
cnf(c26,plain,
( X163 != least_upper_bound(X161,X162)
| X163 = least_upper_bound(X162,X161) ),
inference(resolution,[status(thm)],[transitivity,symmetry_of_lub]) ).
cnf(symmetry,axiom,
( X6 != X7
| X7 = X6 ),
theory(equality) ).
cnf(associativity_of_lub,axiom,
least_upper_bound(X38,least_upper_bound(X39,X37)) = least_upper_bound(least_upper_bound(X38,X39),X37),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',associativity_of_lub) ).
cnf(c23,plain,
( X155 != least_upper_bound(X154,least_upper_bound(X153,X152))
| X155 = least_upper_bound(least_upper_bound(X154,X153),X152) ),
inference(resolution,[status(thm)],[transitivity,associativity_of_lub]) ).
cnf(idempotence_of_lub,axiom,
least_upper_bound(X3,X3) = X3,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',idempotence_of_lub) ).
cnf(c6,plain,
X11 = least_upper_bound(X11,X11),
inference(resolution,[status(thm)],[symmetry,idempotence_of_lub]) ).
cnf(reflexivity,axiom,
X2 = X2,
theory(equality) ).
cnf(c3,axiom,
( X119 != X117
| X120 != X118
| least_upper_bound(X119,X120) = least_upper_bound(X117,X118) ),
theory(equality) ).
cnf(c303,plain,
( X1097 != X1098
| least_upper_bound(X1097,X1099) = least_upper_bound(X1098,X1099) ),
inference(resolution,[status(thm)],[c3,reflexivity]) ).
cnf(c11012,plain,
least_upper_bound(X1117,X1116) = least_upper_bound(least_upper_bound(X1117,X1117),X1116),
inference(resolution,[status(thm)],[c303,c6]) ).
cnf(c11451,plain,
least_upper_bound(X1157,X1158) = least_upper_bound(X1158,least_upper_bound(X1157,X1157)),
inference(resolution,[status(thm)],[c11012,c26]) ).
cnf(c12436,plain,
least_upper_bound(X1218,X1217) = least_upper_bound(least_upper_bound(X1217,X1218),X1218),
inference(resolution,[status(thm)],[c11451,c23]) ).
cnf(c13722,plain,
least_upper_bound(X1268,X1267) = least_upper_bound(X1268,least_upper_bound(X1267,X1268)),
inference(resolution,[status(thm)],[c12436,c26]) ).
cnf(c14329,plain,
least_upper_bound(X1334,least_upper_bound(X1333,X1334)) = least_upper_bound(X1334,X1333),
inference(resolution,[status(thm)],[c13722,symmetry]) ).
cnf(c15315,plain,
least_upper_bound(X1401,least_upper_bound(X1402,X1401)) = least_upper_bound(X1402,X1401),
inference(resolution,[status(thm)],[c14329,c26]) ).
cnf(c16451,plain,
$false,
inference(resolution,[status(thm)],[c15315,prove_ax_lub3a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP152-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n005.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 : Thu May 9 03:44:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 5.33/5.55 % Version: 1.5
% 5.33/5.55 % SZS status Unsatisfiable
% 5.33/5.55 % SZS output start CNFRefutation
% See solution above
% 5.33/5.55
% 5.33/5.55 % Initial clauses : 23
% 5.33/5.55 % Processed clauses : 371
% 5.33/5.55 % Factors computed : 4
% 5.33/5.55 % Resolvents computed: 16574
% 5.33/5.55 % Tautologies deleted: 2
% 5.33/5.55 % Forward subsumed : 485
% 5.33/5.55 % Backward subsumed : 6
% 5.33/5.55 % -------- CPU Time ---------
% 5.33/5.55 % User time : 5.147 s
% 5.33/5.55 % System time : 0.039 s
% 5.33/5.55 % Total time : 5.186 s
%------------------------------------------------------------------------------