TSTP Solution File: FLD041-3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD041-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n025.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 02:26:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sum(additive_identity,a,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3)]) ).

cnf(g1,plain,
    ~ sum(additive_identity,b,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4)]) ).

cnf(g2,plain,
    product(a,b,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5)]) ).

cnf(g3,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(g4,plain,
    ( ~ defined(b)
    | sum(additive_identity,b,additive_identity)
    | product(multiplicative_inverse(b),b,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).

cnf(g5,plain,
    defined(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined)]) ).

cnf(g6,plain,
    ( ~ defined(additive_identity)
    | sum(additive_identity,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

cnf(g7,plain,
    ( ~ defined(b)
    | product(multiplicative_identity,b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).

cnf(g8,plain,
    defined(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined)]) ).

cnf(g9,plain,
    ( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
    | product(b,multiplicative_inverse(b),multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

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

cnf(g11,plain,
    ( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | ~ product(a,b,additive_identity)
    | ~ product(multiplicative_identity,b,b)
    | product(multiplicative_inverse(a),additive_identity,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g12,plain,
    ( ~ product(multiplicative_inverse(a),additive_identity,b)
    | product(additive_identity,multiplicative_inverse(a),b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

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

cnf(g14,plain,
    defined(additive_identity),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).

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

cnf(g16,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(additive_identity,multiplicative_inverse(a),b)
    | ~ product(additive_identity,multiplicative_inverse(a),b)
    | ~ product(additive_identity,multiplicative_inverse(a),b)
    | sum(b,b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g17,plain,
    ( ~ sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
    | ~ product(multiplicative_identity,a,a)
    | ~ product(multiplicative_identity,a,a)
    | ~ product(multiplicative_identity,a,a)
    | sum(a,a,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g18,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)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : FLD041-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 01:12:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.40  % symbols: 14
% 0.19/0.40  % clauses: 31
% 0.19/0.40  % start clauses: 3
% 0.19/0.40  % iterative deepening steps: 178
% 0.19/0.40  % maximum path limit: 3
% 0.19/0.40  % literal attempts: 82649
% 0.19/0.40  % depth failures: 53063
% 0.19/0.40  % regularity failures: 857
% 0.19/0.40  % tautology failures: 2205
% 0.19/0.40  % reductions: 17759
% 0.19/0.40  % extensions: 64438
% 0.19/0.40  % SAT variables: 10596
% 0.19/0.40  % SAT clauses: 23356
% 0.19/0.40  % WalkSAT solutions: 23352
% 0.19/0.40  % CDCL solutions: 0
% 0.19/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.40  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------