TSTP Solution File: KLE151+1 by SATCoP---0.1

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : KLE151+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n006.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  : 600s
% DateTime : Sun Jul 17 02:25:53 EDT 2022

% Result   : Theorem 56.65s 7.55s
% Output   : Proof 56.65s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(strong_iteration(multiplication(sK0,sK1)),sK0)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals)]) ).

cnf(g1,plain,
    ( ~ leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0))
    | leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(strong_iteration(multiplication(sK0,sK1)),sK0)) ),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_coinduction)]) ).

cnf(g2,plain,
    sPE(multiplication(sK0,one),sK0),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).

cnf(g3,plain,
    sPE(sK0,sK0),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ sPE(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)))
    | sPE(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ sPE(sK0,sK0)
    | ~ sPE(strong_iteration(multiplication(sK1,sK0)),addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))
    | sPE(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    sPE(strong_iteration(multiplication(sK1,sK0)),addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_unfold1)]) ).

cnf(g7,plain,
    sPE(multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))),multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_associativity)]) ).

cnf(g8,plain,
    sPE(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(addition(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)))
    | leq(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))) ),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).

cnf(g10,plain,
    sPE(addition(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one))),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).

cnf(g11,plain,
    ( ~ sPE(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)))
    | ~ sPE(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one)))
    | ~ leq(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)))
    | leq(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    sPE(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one))),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',distributivity1)]) ).

cnf(g13,plain,
    ( ~ sPE(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))
    | ~ sPE(addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one)),addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0))
    | ~ leq(multiplication(sK0,addition(multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))),one)),addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one)))
    | leq(multiplication(sK0,strong_iteration(multiplication(sK1,sK0))),addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0),addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one)))
    | sPE(addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one)),addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))))
    | ~ sPE(sK0,multiplication(sK0,one))
    | sPE(addition(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),sK0),addition(multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,one))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(multiplication(sK0,one),sK0)
    | sPE(sK0,multiplication(sK0,one)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(sK0,sK0)
    | ~ sPE(multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))))
    | sPE(multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))),multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    sPE(multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_associativity)]) ).

cnf(g19,plain,
    ( ~ sPE(multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))),multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))))
    | sPE(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))))
    | ~ sPE(multiplication(sK0,multiplication(sK1,multiplication(sK0,strong_iteration(multiplication(sK1,sK0))))),multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0)))))
    | sPE(multiplication(multiplication(sK0,sK1),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),multiplication(sK0,multiplication(multiplication(sK1,sK0),strong_iteration(multiplication(sK1,sK0))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE151+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 07:15:56 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 56.65/7.55  % symbols: 11
% 56.65/7.55  % clauses: 28
% 56.65/7.55  % start clauses: 1
% 56.65/7.55  % iterative deepening steps: 11938
% 56.65/7.55  % maximum path limit: 8
% 56.65/7.55  % literal attempts: 3867522
% 56.65/7.55  % depth failures: 1668931
% 56.65/7.55  % regularity failures: 404637
% 56.65/7.55  % tautology failures: 201693
% 56.65/7.55  % reductions: 0
% 56.65/7.55  % extensions: 3857953
% 56.65/7.55  % SAT variables: 1628733
% 56.65/7.55  % SAT clauses: 2310181
% 56.65/7.55  % WalkSAT solutions: 2310179
% 56.65/7.55  % CDCL solutions: 0
% 56.65/7.55  % SZS status Theorem for theBenchmark
% 56.65/7.55  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------