TSTP Solution File: KLE007+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : KLE007+2 : 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 02:25:11 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    test(sK2),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)]) ).

cnf(g1,plain,
    test(sK1),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)]) ).

cnf(g2,plain,
    ( ~ leq(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2))),one)
    | ~ leq(one,addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals)]) ).

cnf(g3,plain,
    ( ~ sPE(c(sK2),c(sK2))
    | ~ test(sK2)
    | complement(sK2,c(sK2)) ),
    inference(ground_cnf,[],[file('Axioms/KLE001+1.ax',test_3)]) ).

cnf(g4,plain,
    sPE(c(sK2),c(sK2)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ complement(sK2,c(sK2))
    | sPE(addition(c(sK2),sK2),one) ),
    inference(ground_cnf,[],[file('Axioms/KLE001+1.ax',test_2)]) ).

cnf(g6,plain,
    ( ~ sPE(c(sK1),c(sK1))
    | ~ test(sK1)
    | complement(sK1,c(sK1)) ),
    inference(ground_cnf,[],[file('Axioms/KLE001+1.ax',test_3)]) ).

cnf(g7,plain,
    sPE(c(sK1),c(sK1)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ complement(sK1,c(sK1))
    | sPE(addition(c(sK1),sK1),one) ),
    inference(ground_cnf,[],[file('Axioms/KLE001+1.ax',test_2)]) ).

cnf(g9,plain,
    sPE(multiplication(one,one),one),
    inference(ground_cnf,[],[file('Axioms/KLE001+0.ax',multiplicative_right_identity)]) ).

cnf(g10,plain,
    sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2)))),
    inference(ground_cnf,[],[file('Axioms/KLE001+0.ax',right_distributivity)]) ).

cnf(g11,plain,
    ( ~ sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),one)
    | ~ sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2))))
    | ~ leq(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))))
    | leq(one,addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(addition(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2)))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))))
    | leq(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2)))) ),
    inference(ground_cnf,[],[file('Axioms/KLE001+0.ax',order)]) ).

cnf(g13,plain,
    sPE(addition(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2)))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2)))),
    inference(ground_cnf,[],[file('Axioms/KLE001+0.ax',additive_idempotence)]) ).

cnf(g14,plain,
    ( ~ sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2))))
    | ~ sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),one)
    | ~ leq(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))))
    | leq(addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2))),one) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    sPE(addition(sK2,c(sK2)),addition(c(sK2),sK2)),
    inference(ground_cnf,[],[file('Axioms/KLE001+0.ax',additive_commutativity)]) ).

cnf(g16,plain,
    ( ~ sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(c(sK1),sK1),addition(c(sK2),sK2)))
    | ~ sPE(multiplication(addition(c(sK1),sK1),addition(c(sK2),sK2)),one)
    | sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),one) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(addition(sK1,c(sK1)),addition(c(sK1),sK1))
    | ~ sPE(addition(sK2,c(sK2)),addition(c(sK2),sK2))
    | sPE(multiplication(addition(sK1,c(sK1)),addition(sK2,c(sK2))),multiplication(addition(c(sK1),sK1),addition(c(sK2),sK2))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    sPE(addition(sK1,c(sK1)),addition(c(sK1),sK1)),
    inference(ground_cnf,[],[file('Axioms/KLE001+0.ax',additive_commutativity)]) ).

cnf(g19,plain,
    ( ~ sPE(multiplication(addition(c(sK1),sK1),addition(c(sK2),sK2)),multiplication(one,one))
    | ~ sPE(multiplication(one,one),one)
    | sPE(multiplication(addition(c(sK1),sK1),addition(c(sK2),sK2)),one) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(addition(c(sK1),sK1),one)
    | ~ sPE(addition(c(sK2),sK2),one)
    | sPE(multiplication(addition(c(sK1),sK1),addition(c(sK2),sK2)),multiplication(one,one)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KLE007+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 13:33:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.50  % symbols: 13
% 0.20/0.50  % clauses: 35
% 0.20/0.50  % start clauses: 3
% 0.20/0.50  % iterative deepening steps: 823
% 0.20/0.50  % maximum path limit: 4
% 0.20/0.50  % literal attempts: 268159
% 0.20/0.50  % depth failures: 193769
% 0.20/0.50  % regularity failures: 18365
% 0.20/0.50  % tautology failures: 13728
% 0.20/0.50  % reductions: 1327
% 0.20/0.50  % extensions: 265252
% 0.20/0.50  % SAT variables: 36062
% 0.20/0.50  % SAT clauses: 43737
% 0.20/0.50  % WalkSAT solutions: 43735
% 0.20/0.50  % CDCL solutions: 0
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------