TSTP Solution File: FLD026-3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD026-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n020.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 02:26:24 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : Proof 0.20s
% 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,
    product(multiplicative_identity,a,b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_4)]) ).

cnf(g2,plain,
    ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_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,
    ( ~ product(multiplicative_identity,a,b)
    | product(a,multiplicative_identity,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

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

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

cnf(g7,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(g8,plain,
    ( ~ product(multiplicative_identity,a,a)
    | product(a,multiplicative_identity,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

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

cnf(g10,plain,
    ( ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
    | ~ product(multiplicative_identity,a,b)
    | ~ product(multiplicative_identity,a,a)
    | product(multiplicative_identity,b,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g11,plain,
    ( ~ defined(multiplicative_identity)
    | product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).

cnf(g12,plain,
    ( ~ defined(a)
    | sum(additive_identity,a,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

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

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

cnf(g17,plain,
    defined(multiplicative_identity),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity)]) ).

cnf(g18,plain,
    ( ~ defined(b)
    | sum(additive_identity,b,additive_identity)
    | defined(multiplicative_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse)]) ).

cnf(g19,plain,
    defined(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined)]) ).

cnf(g20,plain,
    ( ~ sum(a,additive_identity,a)
    | ~ sum(a,additive_identity,a)
    | ~ sum(additive_identity,b,additive_identity)
    | sum(a,b,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

cnf(g21,plain,
    ( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
    | ~ product(a,multiplicative_identity,b)
    | ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
    | product(multiplicative_inverse(a),b,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g22,plain,
    ( ~ product(multiplicative_identity,multiplicative_inverse(b),multiplicative_inverse(b))
    | product(multiplicative_inverse(b),multiplicative_identity,multiplicative_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g23,plain,
    ( ~ sum(additive_identity,a,a)
    | sum(a,additive_identity,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g24,plain,
    ( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
    | ~ product(multiplicative_inverse(b),multiplicative_identity,multiplicative_inverse(b))
    | ~ product(b,multiplicative_inverse(a),multiplicative_identity)
    | product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).

cnf(g25,plain,
    ( ~ product(multiplicative_inverse(a),b,multiplicative_identity)
    | product(b,multiplicative_inverse(a),multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD026-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun  7 03:21:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  % symbols: 14
% 0.20/0.46  % clauses: 31
% 0.20/0.46  % start clauses: 3
% 0.20/0.46  % iterative deepening steps: 209
% 0.20/0.46  % maximum path limit: 3
% 0.20/0.46  % literal attempts: 68666
% 0.20/0.46  % depth failures: 45904
% 0.20/0.46  % regularity failures: 904
% 0.20/0.46  % tautology failures: 2273
% 0.20/0.46  % reductions: 10549
% 0.20/0.46  % extensions: 57670
% 0.20/0.46  % SAT variables: 11272
% 0.20/0.46  % SAT clauses: 24570
% 0.20/0.46  % WalkSAT solutions: 24563
% 0.20/0.46  % CDCL solutions: 0
% 0.20/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.46  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------