TSTP Solution File: FLD033-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD033-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 : Sat Jul 16 02:26:27 EDT 2022

% Result   : Unsatisfiable 9.48s 1.65s
% Output   : Proof 9.48s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ equalish(a,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3)]) ).

cnf(g1,plain,
    equalish(multiply(m,a),a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_a_4)]) ).

cnf(g2,plain,
    ~ equalish(m,multiplicative_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_not_equal_to_multiplicative_identity_5)]) ).

cnf(g3,plain,
    ( ~ equalish(multiply(m,a),a)
    | equalish(a,multiply(m,a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).

cnf(g4,plain,
    defined(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).

cnf(g5,plain,
    defined(m),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_is_defined)]) ).

cnf(g6,plain,
    ( ~ defined(m)
    | equalish(multiply(multiplicative_identity,m),m) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_identity_multiplication)]) ).

cnf(g7,plain,
    ( ~ equalish(a,multiply(m,a))
    | ~ equalish(multiply(m,a),additive_identity)
    | equalish(a,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g8,plain,
    ( ~ defined(multiply(m,a))
    | equalish(multiply(m,a),additive_identity)
    | equalish(multiply(multiply(m,a),multiplicative_inverse(multiply(m,a))),multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',existence_of_inverse_multiplication)]) ).

cnf(g9,plain,
    ( ~ defined(multiply(m,a))
    | equalish(multiply(m,a),additive_identity)
    | defined(multiplicative_inverse(multiply(m,a))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse)]) ).

cnf(g10,plain,
    ( ~ defined(m)
    | ~ defined(a)
    | defined(multiply(m,a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_multiplication)]) ).

cnf(g11,plain,
    ( ~ equalish(multiply(multiplicative_identity,m),m)
    | equalish(m,multiply(multiplicative_identity,m)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).

cnf(g12,plain,
    ( ~ defined(a)
    | ~ defined(multiplicative_inverse(multiply(m,a)))
    | defined(multiply(a,multiplicative_inverse(multiply(m,a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',well_definedness_of_multiplication)]) ).

cnf(g13,plain,
    ( ~ equalish(a,multiply(m,a))
    | ~ defined(multiplicative_inverse(multiply(m,a)))
    | equalish(multiply(a,multiplicative_inverse(multiply(m,a))),multiply(multiply(m,a),multiplicative_inverse(multiply(m,a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication)]) ).

cnf(g14,plain,
    ( ~ equalish(multiply(a,multiplicative_inverse(multiply(m,a))),multiply(multiply(m,a),multiplicative_inverse(multiply(m,a))))
    | ~ equalish(multiply(multiply(m,a),multiplicative_inverse(multiply(m,a))),multiplicative_identity)
    | equalish(multiply(a,multiplicative_inverse(multiply(m,a))),multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g15,plain,
    ( ~ equalish(multiply(a,multiplicative_inverse(multiply(m,a))),multiplicative_identity)
    | equalish(multiplicative_identity,multiply(a,multiplicative_inverse(multiply(m,a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',symmetry_of_equality)]) ).

cnf(g16,plain,
    ( ~ equalish(m,multiply(multiply(m,a),multiplicative_inverse(multiply(m,a))))
    | ~ equalish(multiply(multiply(m,a),multiplicative_inverse(multiply(m,a))),multiplicative_identity)
    | equalish(m,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g17,plain,
    ( ~ equalish(m,multiply(m,multiply(a,multiplicative_inverse(multiply(m,a)))))
    | ~ equalish(multiply(m,multiply(a,multiplicative_inverse(multiply(m,a)))),multiply(multiply(m,a),multiplicative_inverse(multiply(m,a))))
    | equalish(m,multiply(multiply(m,a),multiplicative_inverse(multiply(m,a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g18,plain,
    ( ~ defined(m)
    | ~ defined(a)
    | ~ defined(multiplicative_inverse(multiply(m,a)))
    | equalish(multiply(m,multiply(a,multiplicative_inverse(multiply(m,a)))),multiply(multiply(m,a),multiplicative_inverse(multiply(m,a)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',associativity_multiplication)]) ).

cnf(g19,plain,
    ( ~ equalish(m,multiply(multiplicative_identity,m))
    | ~ equalish(multiply(multiplicative_identity,m),multiply(m,multiply(a,multiplicative_inverse(multiply(m,a)))))
    | equalish(m,multiply(m,multiply(a,multiplicative_inverse(multiply(m,a))))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g20,plain,
    ( ~ equalish(multiply(multiplicative_identity,m),multiply(multiply(a,multiplicative_inverse(multiply(m,a))),m))
    | ~ equalish(multiply(multiply(a,multiplicative_inverse(multiply(m,a))),m),multiply(m,multiply(a,multiplicative_inverse(multiply(m,a)))))
    | equalish(multiply(multiplicative_identity,m),multiply(m,multiply(a,multiplicative_inverse(multiply(m,a))))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',transitivity_of_equality)]) ).

cnf(g21,plain,
    ( ~ defined(multiply(a,multiplicative_inverse(multiply(m,a))))
    | ~ defined(m)
    | equalish(multiply(multiply(a,multiplicative_inverse(multiply(m,a))),m),multiply(m,multiply(a,multiplicative_inverse(multiply(m,a))))) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',commutativity_multiplication)]) ).

cnf(g22,plain,
    ( ~ equalish(multiplicative_identity,multiply(a,multiplicative_inverse(multiply(m,a))))
    | ~ defined(m)
    | equalish(multiply(multiplicative_identity,m),multiply(multiply(a,multiplicative_inverse(multiply(m,a))),m)) ),
    inference(ground_cnf,[],[file('Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD033-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n017.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 : Mon Jun  6 21:38:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 9.48/1.65  % symbols: 13
% 9.48/1.65  % clauses: 32
% 9.48/1.65  % start clauses: 3
% 9.48/1.65  % iterative deepening steps: 1556
% 9.48/1.65  % maximum path limit: 5
% 9.48/1.65  % literal attempts: 2460504
% 9.48/1.65  % depth failures: 1750132
% 9.48/1.65  % regularity failures: 124836
% 9.48/1.65  % tautology failures: 292036
% 9.48/1.65  % reductions: 140215
% 9.48/1.65  % extensions: 2318686
% 9.48/1.65  % SAT variables: 121615
% 9.48/1.65  % SAT clauses: 195286
% 9.48/1.65  % WalkSAT solutions: 195168
% 9.48/1.65  % CDCL solutions: 114
% 9.48/1.65  % SZS status Unsatisfiable for theBenchmark
% 9.48/1.65  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------