TSTP Solution File: FLD079-3 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : FLD079-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 02:26:47 EDT 2022

% Result   : Unsatisfiable 264.13s 33.54s
% Output   : Proof 264.93s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    less_or_equal(additive_identity,b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4)]) ).

cnf(g2,plain,
    less_or_equal(multiply(a,multiplicative_inverse(b)),multiplicative_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5)]) ).

cnf(g3,plain,
    ~ less_or_equal(a,b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_6)]) ).

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

cnf(g7,plain,
    defined(b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).

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

cnf(g9,plain,
    ( ~ defined(b)
    | sum(additive_identity,b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

cnf(g10,plain,
    defined(a),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).

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

cnf(g12,plain,
    ( ~ defined(b)
    | product(multiplicative_identity,b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).

cnf(g13,plain,
    ( ~ defined(multiplicative_identity)
    | sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).

cnf(g14,plain,
    ( ~ defined(multiplicative_identity)
    | sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).

cnf(g15,plain,
    ( ~ defined(additive_identity)
    | ~ defined(b)
    | product(additive_identity,b,multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g16,plain,
    defined(additive_identity),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).

cnf(g17,plain,
    ( ~ defined(a)
    | ~ defined(multiplicative_inverse(b))
    | defined(multiply(a,multiplicative_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).

cnf(g18,plain,
    defined(multiplicative_identity),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity)]) ).

cnf(g19,plain,
    ( ~ defined(a)
    | ~ defined(multiplicative_inverse(b))
    | product(a,multiplicative_inverse(b),multiply(a,multiplicative_inverse(b))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

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

cnf(g21,plain,
    ( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
    | sum(multiplicative_identity,additive_identity,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g22,plain,
    ( ~ defined(a)
    | product(multiplicative_identity,a,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).

cnf(g23,plain,
    ( ~ sum(additive_inverse(b),b,b)
    | ~ sum(additive_inverse(b),b,additive_identity)
    | ~ sum(b,additive_identity,b)
    | sum(b,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

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

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

cnf(g26,plain,
    ( ~ defined(additive_identity)
    | ~ defined(additive_inverse(multiplicative_identity))
    | less_or_equal(additive_identity,additive_inverse(multiplicative_identity))
    | less_or_equal(additive_inverse(multiplicative_identity),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).

cnf(g27,plain,
    ( ~ defined(multiplicative_identity)
    | defined(additive_inverse(multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).

cnf(g28,plain,
    ( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
    | ~ product(additive_identity,b,multiply(additive_identity,b))
    | ~ product(multiplicative_identity,b,b)
    | ~ product(multiplicative_identity,b,b)
    | sum(multiply(additive_identity,b),b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g29,plain,
    ( ~ sum(additive_inverse(b),b,additive_identity)
    | ~ sum(b,b,b)
    | ~ sum(additive_identity,b,b)
    | sum(additive_inverse(b),b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).

cnf(g30,plain,
    ( ~ defined(multiply(a,multiplicative_inverse(b)))
    | sum(additive_inverse(multiply(a,multiplicative_inverse(b))),multiply(a,multiplicative_inverse(b)),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).

cnf(g31,plain,
    ( ~ sum(multiply(a,multiplicative_inverse(b)),additive_inverse(multiply(a,multiplicative_inverse(b))),additive_identity)
    | ~ sum(multiplicative_identity,additive_inverse(multiply(a,multiplicative_inverse(b))),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | ~ less_or_equal(multiply(a,multiplicative_inverse(b)),multiplicative_identity)
    | less_or_equal(additive_identity,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g32,plain,
    ( ~ sum(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | sum(multiplicative_identity,additive_inverse(multiply(a,multiplicative_inverse(b))),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g33,plain,
    ( ~ defined(additive_inverse(multiply(a,multiplicative_inverse(b))))
    | ~ defined(multiplicative_identity)
    | sum(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).

cnf(g34,plain,
    ( ~ sum(additive_inverse(multiply(a,multiplicative_inverse(b))),multiply(a,multiplicative_inverse(b)),additive_identity)
    | sum(multiply(a,multiplicative_inverse(b)),additive_inverse(multiply(a,multiplicative_inverse(b))),additive_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g35,plain,
    ( ~ sum(multiply(additive_identity,b),b,b)
    | sum(b,multiply(additive_identity,b),b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).

cnf(g36,plain,
    ( ~ defined(additive_identity)
    | ~ defined(b)
    | defined(multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).

cnf(g37,plain,
    ( ~ defined(multiply(additive_identity,b))
    | ~ defined(multiply(additive_identity,b))
    | less_or_equal(multiply(additive_identity,b),multiply(additive_identity,b))
    | less_or_equal(multiply(additive_identity,b),multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).

cnf(g38,plain,
    ( ~ less_or_equal(multiply(additive_identity,b),multiply(additive_identity,b))
    | ~ less_or_equal(multiply(additive_identity,b),multiply(additive_identity,b))
    | sum(additive_identity,multiply(additive_identity,b),multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).

cnf(g39,plain,
    ( ~ defined(multiply(a,multiplicative_inverse(b)))
    | defined(additive_inverse(multiply(a,multiplicative_inverse(b)))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).

cnf(g40,plain,
    ( ~ defined(additive_inverse(multiplicative_identity))
    | ~ defined(b)
    | product(additive_inverse(multiplicative_identity),b,multiply(additive_inverse(multiplicative_identity),b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g41,plain,
    ( ~ less_or_equal(b,multiply(additive_identity,b))
    | ~ less_or_equal(multiply(additive_identity,b),b)
    | sum(additive_identity,b,multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).

cnf(g42,plain,
    ( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
    | ~ product(additive_inverse(multiplicative_identity),b,multiply(additive_inverse(multiplicative_identity),b))
    | ~ product(multiplicative_identity,b,b)
    | ~ product(additive_identity,b,multiply(additive_identity,b))
    | sum(multiply(additive_inverse(multiplicative_identity),b),b,multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g43,plain,
    ( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
    | ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
    | ~ less_or_equal(additive_inverse(multiplicative_identity),additive_identity)
    | less_or_equal(additive_identity,multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g44,plain,
    ( ~ product(b,a,multiply(b,a))
    | ~ product(a,multiplicative_inverse(b),multiply(a,multiplicative_inverse(b)))
    | ~ product(multiply(b,a),multiplicative_inverse(b),a)
    | product(b,multiply(a,multiplicative_inverse(b)),a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g45,plain,
    ( ~ product(multiplicative_inverse(b),multiply(b,a),a)
    | product(multiply(b,a),multiplicative_inverse(b),a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g46,plain,
    ( ~ product(b,multiply(a,multiplicative_inverse(b)),a)
    | product(multiply(a,multiplicative_inverse(b)),b,a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g47,plain,
    ( ~ sum(multiply(additive_identity,b),additive_identity,b)
    | ~ sum(multiply(additive_identity,b),b,b)
    | ~ sum(additive_identity,b,b)
    | sum(b,b,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

cnf(g48,plain,
    ( ~ sum(additive_identity,b,multiply(additive_identity,b))
    | ~ sum(additive_identity,b,b)
    | ~ sum(b,additive_identity,b)
    | sum(multiply(additive_identity,b),additive_identity,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

cnf(g49,plain,
    ( ~ sum(additive_identity,b,b)
    | ~ sum(multiply(additive_inverse(multiplicative_identity),b),b,multiply(additive_identity,b))
    | ~ less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),b))
    | less_or_equal(b,multiply(additive_identity,b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g50,plain,
    ( ~ sum(additive_identity,multiply(additive_identity,b),multiply(additive_identity,b))
    | ~ sum(b,multiply(additive_identity,b),b)
    | ~ less_or_equal(additive_identity,b)
    | less_or_equal(multiply(additive_identity,b),b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g51,plain,
    ( ~ product(additive_inverse(multiplicative_identity),b,multiply(additive_inverse(multiplicative_identity),b))
    | ~ less_or_equal(additive_identity,additive_inverse(multiplicative_identity))
    | ~ less_or_equal(additive_identity,b)
    | less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),b)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).

cnf(g52,plain,
    ( ~ product(b,multiplicative_identity,multiply(b,multiplicative_identity))
    | product(multiplicative_identity,b,multiply(b,multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g53,plain,
    ( ~ defined(b)
    | ~ defined(multiplicative_identity)
    | defined(multiply(b,multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).

cnf(g54,plain,
    ( ~ product(multiplicative_identity,b,multiply(b,multiplicative_identity))
    | ~ less_or_equal(additive_identity,multiplicative_identity)
    | ~ less_or_equal(additive_identity,b)
    | less_or_equal(additive_identity,multiply(b,multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).

cnf(g55,plain,
    ( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
    | ~ product(b,a,multiply(b,a))
    | ~ product(multiplicative_identity,a,a)
    | product(multiplicative_inverse(b),multiply(b,a),a) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g56,plain,
    ( ~ sum(multiplicative_identity,additive_inverse(multiply(a,multiplicative_inverse(b))),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | ~ sum(multiplicative_identity,additive_identity,multiplicative_identity)
    | ~ sum(additive_inverse(multiply(a,multiplicative_inverse(b))),multiply(a,multiplicative_inverse(b)),additive_identity)
    | sum(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(a,multiplicative_inverse(b)),multiplicative_identity) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).

cnf(g57,plain,
    ( ~ defined(additive_inverse(multiply(a,multiplicative_inverse(b))))
    | ~ defined(multiplicative_identity)
    | defined(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_addition)]) ).

cnf(g58,plain,
    ( ~ defined(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | product(multiplicative_identity,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).

cnf(g59,plain,
    ( ~ sum(additive_identity,a,a)
    | ~ sum(multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)),a,b)
    | ~ less_or_equal(additive_identity,multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)))
    | less_or_equal(a,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).

cnf(g60,plain,
    ( ~ sum(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(a,multiplicative_inverse(b)),multiplicative_identity)
    | ~ product(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),b,multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)))
    | ~ product(multiply(a,multiplicative_inverse(b)),b,a)
    | ~ product(multiplicative_identity,b,b)
    | sum(multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)),a,b) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).

cnf(g61,plain,
    ( ~ product(b,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)))
    | product(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),b,multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

cnf(g62,plain,
    ( ~ product(b,multiplicative_identity,multiply(b,multiplicative_identity))
    | ~ product(multiplicative_identity,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | ~ product(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)))
    | product(b,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).

cnf(g63,plain,
    ( ~ defined(multiply(b,multiplicative_identity))
    | ~ defined(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | product(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).

cnf(g64,plain,
    ( ~ product(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(b,multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)))
    | ~ less_or_equal(additive_identity,add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))
    | ~ less_or_equal(additive_identity,multiply(b,multiplicative_identity))
    | less_or_equal(additive_identity,multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).

cnf(g65,plain,
    ( ~ product(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity)))
    | product(add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity),multiply(b,multiplicative_identity),multiply(multiply(b,multiplicative_identity),add(additive_inverse(multiply(a,multiplicative_inverse(b))),multiplicative_identity))) ),
    inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : FLD079-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n024.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 03:51:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 264.13/33.54  % symbols: 14
% 264.13/33.54  % clauses: 32
% 264.13/33.54  % start clauses: 4
% 264.13/33.54  % iterative deepening steps: 22376
% 264.13/33.54  % maximum path limit: 5
% 264.13/33.54  % literal attempts: 44573840
% 264.13/33.54  % depth failures: 27707355
% 264.13/33.54  % regularity failures: 1750746
% 264.13/33.54  % tautology failures: 4291454
% 264.13/33.54  % reductions: 5367166
% 264.13/33.54  % extensions: 39201636
% 264.13/33.54  % SAT variables: 3682811
% 264.13/33.54  % SAT clauses: 8541061
% 264.13/33.54  % WalkSAT solutions: 8540990
% 264.13/33.54  % CDCL solutions: 73
% 264.13/33.54  % SZS status Unsatisfiable for theBenchmark
% 264.13/33.54  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------