TSTP Solution File: FLD011-3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD011-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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 02:26:18 EDT 2022

% Result   : Unsatisfiable 1.69s 0.71s
% Output   : Proof 1.69s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sum(additive_identity,a,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2)]) ).

cnf(g1,plain,
    ~ product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_3)]) ).

cnf(g2,plain,
    ( ~ defined(a)
    | sum(additive_identity,a,additive_identity)
    | product(multiplicative_inverse(a),a,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).

cnf(g3,plain,
    ( ~ defined(a)
    | sum(additive_identity,a,additive_identity)
    | defined(multiplicative_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse)]) ).

cnf(g4,plain,
    ( ~ product(multiplicative_inverse(multiplicative_inverse(a)),multiplicative_identity,a)
    | product(multiplicative_identity,multiplicative_inverse(multiplicative_inverse(a)),a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g5,plain,
    ( ~ defined(a)
    | sum(additive_inverse(a),a,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).

cnf(g6,plain,
    defined(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).

cnf(g7,plain,
    ( ~ defined(multiplicative_inverse(a))
    | sum(additive_identity,multiplicative_inverse(a),additive_identity)
    | product(multiplicative_inverse(multiplicative_inverse(a)),multiplicative_inverse(a),multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).

cnf(g8,plain,
    ( ~ defined(multiplicative_inverse(a))
    | sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

cnf(g9,plain,
    ( ~ defined(a)
    | product(multiplicative_identity,a,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).

cnf(g10,plain,
    ( ~ sum(additive_inverse(a),a,additive_identity)
    | ~ sum(additive_inverse(a),a,additive_identity)
    | ~ sum(a,a,a)
    | sum(additive_identity,a,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

cnf(g11,plain,
    ( ~ sum(additive_identity,multiplicative_inverse(a),additive_identity)
    | sum(multiplicative_inverse(a),additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g12,plain,
    ( ~ defined(a)
    | ~ defined(a)
    | product(a,a,multiply(a,a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g13,plain,
    ( ~ product(multiplicative_inverse(multiplicative_inverse(a)),multiplicative_inverse(a),multiplicative_identity)
    | ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | ~ product(multiplicative_identity,a,a)
    | product(multiplicative_inverse(multiplicative_inverse(a)),multiplicative_identity,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g14,plain,
    ( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | ~ product(a,a,multiply(a,a))
    | ~ product(multiplicative_identity,a,a)
    | product(multiplicative_inverse(a),multiply(a,a),a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g15,plain,
    ( ~ sum(multiplicative_inverse(a),multiplicative_inverse(a),multiplicative_inverse(a))
    | ~ product(multiplicative_inverse(a),multiply(a,a),a)
    | ~ product(multiplicative_inverse(a),multiply(a,a),a)
    | ~ product(multiplicative_inverse(a),multiply(a,a),a)
    | sum(a,a,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g16,plain,
    ( ~ sum(multiplicative_inverse(a),additive_identity,additive_identity)
    | ~ sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
    | ~ sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
    | sum(multiplicative_inverse(a),multiplicative_inverse(a),multiplicative_inverse(a)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD011-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n026.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 17:10:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.69/0.71  % symbols: 13
% 1.69/0.71  % clauses: 29
% 1.69/0.71  % start clauses: 2
% 1.69/0.71  % iterative deepening steps: 1123
% 1.69/0.71  % maximum path limit: 4
% 1.69/0.71  % literal attempts: 579733
% 1.69/0.71  % depth failures: 395513
% 1.69/0.71  % regularity failures: 10102
% 1.69/0.71  % tautology failures: 15555
% 1.69/0.71  % reductions: 66511
% 1.69/0.71  % extensions: 511797
% 1.69/0.71  % SAT variables: 28940
% 1.69/0.71  % SAT clauses: 65057
% 1.69/0.71  % WalkSAT solutions: 65054
% 1.69/0.71  % CDCL solutions: 0
% 1.69/0.71  % SZS status Unsatisfiable for theBenchmark
% 1.69/0.71  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------