TSTP Solution File: KLE137+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n014.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 02:25:48 EDT 2022

% Result   : Theorem 2.21s 0.66s
% Output   : Proof 2.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    sPE(multiplication(strong_iteration(one),one),strong_iteration(one)),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).

cnf(g2,plain,
    sPE(one,one),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    sPE(multiplication(sK0,one),sK0),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',multiplicative_right_identity)]) ).

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

cnf(g5,plain,
    ( ~ leq(multiplication(sK0,one),addition(multiplication(one,multiplication(sK0,one)),one))
    | leq(multiplication(sK0,one),multiplication(strong_iteration(one),one)) ),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',infty_coinduction)]) ).

cnf(g6,plain,
    ( ~ sPE(addition(multiplication(sK0,one),addition(multiplication(one,multiplication(sK0,one)),one)),addition(multiplication(one,multiplication(sK0,one)),one))
    | leq(multiplication(sK0,one),addition(multiplication(one,multiplication(sK0,one)),one)) ),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).

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

cnf(g8,plain,
    ( ~ sPE(addition(multiplication(one,multiplication(sK0,one)),multiplication(one,multiplication(sK0,one))),multiplication(one,multiplication(sK0,one)))
    | leq(multiplication(one,multiplication(sK0,one)),multiplication(one,multiplication(sK0,one))) ),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).

cnf(g9,plain,
    sPE(addition(multiplication(one,multiplication(sK0,one)),multiplication(one,multiplication(sK0,one))),multiplication(one,multiplication(sK0,one))),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',idempotence)]) ).

cnf(g10,plain,
    sPE(multiplication(one,multiplication(sK0,one)),multiplication(one,multiplication(sK0,one))),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

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

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

cnf(g15,plain,
    ( ~ leq(multiplication(sK0,one),multiplication(one,multiplication(sK0,one)))
    | sPE(addition(multiplication(sK0,one),multiplication(one,multiplication(sK0,one))),multiplication(one,multiplication(sK0,one))) ),
    inference(ground_cnf,[],[file('Axioms/KLE004+0.ax',order)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE137+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : satcop --statistics %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Thu Jun 16 08:42:05 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 2.21/0.66  % symbols: 10
% 2.21/0.66  % clauses: 28
% 2.21/0.66  % start clauses: 1
% 2.21/0.66  % iterative deepening steps: 2753
% 2.21/0.66  % maximum path limit: 6
% 2.21/0.66  % literal attempts: 259240
% 2.21/0.66  % depth failures: 104122
% 2.21/0.66  % regularity failures: 28956
% 2.21/0.66  % tautology failures: 13530
% 2.21/0.66  % reductions: 0
% 2.21/0.66  % extensions: 256773
% 2.21/0.66  % SAT variables: 111421
% 2.21/0.66  % SAT clauses: 160923
% 2.21/0.66  % WalkSAT solutions: 160924
% 2.21/0.66  % CDCL solutions: 0
% 2.21/0.66  % SZS status Theorem for theBenchmark
% 2.21/0.66  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------