TSTP Solution File: FLD047-3 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD047-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n023.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 02:26:32 EDT 2022
% Result : Unsatisfiable 200.38s 25.73s
% Output : Proof 200.65s
% 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_4)]) ).
cnf(g1,plain,
~ sum(additive_identity,c,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_5)]) ).
cnf(g2,plain,
~ product(a,multiplicative_inverse(b),multiply(multiply(a,c),multiplicative_inverse(multiply(b,c)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_6)]) ).
cnf(g3,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(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(c)
| sum(additive_identity,c,additive_identity)
| product(multiplicative_inverse(c),c,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g6,plain,
( ~ defined(c)
| sum(additive_identity,c,additive_identity)
| defined(multiplicative_inverse(c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse)]) ).
cnf(g7,plain,
( ~ product(multiplicative_inverse(b),a,multiply(multiply(a,c),multiplicative_inverse(multiply(b,c))))
| product(a,multiplicative_inverse(b),multiply(multiply(a,c),multiplicative_inverse(multiply(b,c)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g8,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g9,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g10,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g11,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g12,plain,
( ~ defined(multiplicative_inverse(b))
| ~ defined(additive_identity)
| product(multiplicative_inverse(b),additive_identity,multiply(multiplicative_inverse(b),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g13,plain,
( ~ defined(multiplicative_inverse(b))
| defined(additive_inverse(multiplicative_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g14,plain,
( ~ defined(multiplicative_inverse(b))
| sum(additive_inverse(multiplicative_inverse(b)),multiplicative_inverse(b),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g15,plain,
defined(c),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined)]) ).
cnf(g16,plain,
( ~ defined(c)
| product(multiplicative_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g17,plain,
( ~ defined(multiplicative_inverse(c))
| ~ defined(additive_identity)
| defined(multiply(multiplicative_inverse(c),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g18,plain,
( ~ defined(multiplicative_inverse(c))
| sum(additive_identity,multiplicative_inverse(c),multiplicative_inverse(c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g19,plain,
( ~ defined(additive_identity)
| ~ defined(multiplicative_inverse(c))
| defined(add(additive_identity,multiplicative_inverse(c))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_addition)]) ).
cnf(g20,plain,
( ~ defined(additive_identity)
| ~ defined(multiplicative_inverse(c))
| sum(additive_identity,multiplicative_inverse(c),add(additive_identity,multiplicative_inverse(c))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g21,plain,
( ~ defined(multiplicative_inverse(c))
| ~ defined(additive_identity)
| product(multiplicative_inverse(c),additive_identity,multiply(multiplicative_inverse(c),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g22,plain,
( ~ defined(multiply(a,c))
| ~ defined(multiplicative_inverse(multiply(b,c)))
| product(multiply(a,c),multiplicative_inverse(multiply(b,c)),multiply(multiply(a,c),multiplicative_inverse(multiply(b,c)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g23,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g24,plain,
( ~ defined(additive_inverse(multiplicative_inverse(b)))
| ~ defined(additive_identity)
| defined(multiply(additive_inverse(multiplicative_inverse(b)),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g25,plain,
( ~ defined(additive_inverse(multiplicative_inverse(b)))
| ~ defined(additive_identity)
| product(additive_inverse(multiplicative_inverse(b)),additive_identity,multiply(additive_inverse(multiplicative_inverse(b)),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g26,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g27,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g28,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g29,plain,
( ~ defined(multiplicative_identity)
| ~ defined(multiplicative_identity)
| sum(multiplicative_identity,multiplicative_identity,add(multiplicative_identity,multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g30,plain,
( ~ defined(multiply(multiplicative_inverse(c),additive_identity))
| sum(additive_identity,multiply(multiplicative_inverse(c),additive_identity),multiply(multiplicative_inverse(c),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g31,plain,
( ~ defined(multiply(multiplicative_inverse(c),additive_identity))
| sum(additive_identity,multiply(multiplicative_inverse(c),additive_identity),additive_identity)
| product(multiplicative_inverse(multiply(multiplicative_inverse(c),additive_identity)),multiply(multiplicative_inverse(c),additive_identity),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g32,plain,
( ~ defined(add(additive_identity,multiplicative_inverse(c)))
| sum(additive_inverse(add(additive_identity,multiplicative_inverse(c))),add(additive_identity,multiplicative_inverse(c)),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g33,plain,
( ~ defined(add(additive_identity,multiplicative_inverse(c)))
| defined(additive_inverse(add(additive_identity,multiplicative_inverse(c)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g34,plain,
( ~ product(multiplicative_identity,additive_identity,multiplicative_identity)
| product(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g35,plain,
defined(multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity)]) ).
cnf(g36,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g37,plain,
( ~ defined(c)
| sum(additive_inverse(c),c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g38,plain,
( ~ defined(a)
| ~ defined(c)
| defined(multiply(a,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g39,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g40,plain,
( ~ defined(multiply(b,c))
| sum(additive_identity,multiply(b,c),additive_identity)
| defined(multiplicative_inverse(multiply(b,c))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse)]) ).
cnf(g41,plain,
( ~ product(additive_identity,multiplicative_identity,b)
| product(multiplicative_identity,additive_identity,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g42,plain,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g43,plain,
( ~ product(additive_identity,multiplicative_inverse(b),multiplicative_identity)
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_identity,b,b)
| product(additive_identity,multiplicative_identity,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g44,plain,
( ~ defined(multiplicative_identity)
| ~ defined(multiplicative_inverse(c))
| sum(multiplicative_identity,multiplicative_inverse(c),add(multiplicative_identity,multiplicative_inverse(c))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g45,plain,
( ~ defined(a)
| ~ defined(c)
| product(a,c,multiply(a,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g46,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
| sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g47,plain,
( ~ sum(multiplicative_identity,multiplicative_identity,add(multiplicative_identity,multiplicative_identity))
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,b)
| ~ product(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity)
| sum(additive_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g48,plain,
( ~ sum(multiplicative_identity,multiplicative_identity,add(multiplicative_identity,multiplicative_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(add(multiplicative_identity,multiplicative_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g49,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| product(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g50,plain,
( ~ sum(additive_inverse(c),c,additive_identity)
| ~ sum(additive_inverse(c),c,additive_identity)
| ~ sum(c,c,c)
| sum(additive_identity,c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g51,plain,
( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| sum(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g52,plain,
( ~ sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,c,c)
| ~ product(multiplicative_identity,c,c)
| ~ product(multiplicative_identity,c,c)
| sum(c,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g53,plain,
( ~ sum(additive_inverse(multiplicative_inverse(b)),multiplicative_inverse(b),additive_identity)
| ~ product(additive_inverse(multiplicative_inverse(b)),additive_identity,multiply(additive_inverse(multiplicative_inverse(b)),additive_identity))
| ~ product(multiplicative_inverse(b),additive_identity,multiply(multiplicative_inverse(b),additive_identity))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| sum(multiply(additive_inverse(multiplicative_inverse(b)),additive_identity),multiply(multiplicative_inverse(b),additive_identity),multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g54,plain,
( ~ defined(b)
| ~ defined(c)
| defined(multiply(b,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g55,plain,
( ~ product(a,c,multiply(a,c))
| product(c,a,multiply(a,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g56,plain,
( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g57,plain,
( ~ defined(multiply(additive_inverse(multiplicative_inverse(b)),additive_identity))
| sum(additive_identity,multiply(additive_inverse(multiplicative_inverse(b)),additive_identity),multiply(additive_inverse(multiplicative_inverse(b)),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g58,plain,
( ~ sum(additive_identity,multiply(additive_inverse(multiplicative_inverse(b)),additive_identity),multiply(additive_inverse(multiplicative_inverse(b)),additive_identity))
| ~ sum(multiply(additive_inverse(multiplicative_inverse(b)),additive_identity),multiply(multiplicative_inverse(b),additive_identity),multiply(additive_identity,additive_identity))
| ~ sum(multiply(additive_inverse(multiplicative_inverse(b)),additive_identity),multiply(multiplicative_inverse(b),additive_identity),multiply(additive_identity,additive_identity))
| sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g59,plain,
( ~ defined(additive_inverse(add(additive_identity,multiplicative_inverse(c))))
| ~ defined(additive_identity)
| sum(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity,add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g60,plain,
( ~ defined(additive_inverse(add(additive_identity,multiplicative_inverse(c))))
| ~ defined(additive_identity)
| defined(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_addition)]) ).
cnf(g61,plain,
( ~ sum(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity,add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity))
| ~ sum(additive_inverse(add(additive_identity,multiplicative_inverse(c))),add(additive_identity,multiplicative_inverse(c)),additive_identity)
| ~ sum(additive_identity,multiplicative_inverse(c),add(additive_identity,multiplicative_inverse(c)))
| sum(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),multiplicative_inverse(c),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g62,plain,
( ~ product(multiplicative_inverse(multiply(multiplicative_inverse(c),additive_identity)),multiply(multiplicative_inverse(c),additive_identity),multiplicative_identity)
| ~ product(multiplicative_inverse(multiply(multiplicative_inverse(c),additive_identity)),multiply(multiplicative_inverse(c),additive_identity),multiplicative_identity)
| ~ product(multiply(multiplicative_inverse(c),additive_identity),additive_identity,multiply(multiplicative_inverse(c),additive_identity))
| product(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g63,plain,
( ~ sum(multiplicative_identity,multiplicative_inverse(c),add(multiplicative_identity,multiplicative_inverse(c)))
| ~ sum(additive_identity,multiply(multiplicative_inverse(c),additive_identity),multiply(multiplicative_inverse(c),additive_identity))
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| ~ product(multiplicative_inverse(c),additive_identity,multiply(multiplicative_inverse(c),additive_identity))
| product(add(multiplicative_identity,multiplicative_inverse(c)),additive_identity,multiply(multiplicative_inverse(c),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g64,plain,
( ~ product(add(multiplicative_identity,multiplicative_inverse(c)),additive_identity,multiply(multiplicative_inverse(c),additive_identity))
| ~ product(add(multiplicative_identity,multiplicative_inverse(c)),additive_identity,multiply(multiplicative_inverse(c),additive_identity))
| ~ product(additive_identity,additive_identity,additive_identity)
| product(multiply(multiplicative_inverse(c),additive_identity),additive_identity,multiply(multiplicative_inverse(c),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g65,plain,
( ~ product(multiplicative_inverse(c),additive_identity,additive_identity)
| ~ product(multiplicative_inverse(c),c,multiplicative_identity)
| ~ product(additive_identity,multiplicative_inverse(b),c)
| product(additive_identity,multiplicative_inverse(b),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g66,plain,
( ~ product(multiplicative_inverse(b),additive_identity,c)
| product(additive_identity,multiplicative_inverse(b),c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g67,plain,
( ~ sum(additive_identity,multiplicative_inverse(c),multiplicative_inverse(c))
| ~ sum(additive_identity,multiply(multiplicative_inverse(c),additive_identity),additive_identity)
| ~ product(additive_identity,additive_identity,additive_identity)
| ~ product(multiplicative_inverse(c),additive_identity,multiply(multiplicative_inverse(c),additive_identity))
| product(multiplicative_inverse(c),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g68,plain,
( ~ defined(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity))
| ~ defined(c)
| product(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c,multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g69,plain,
( ~ sum(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),multiplicative_inverse(c),additive_identity)
| ~ sum(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity))
| ~ product(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c,multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c))
| ~ product(multiplicative_inverse(c),c,multiplicative_identity)
| product(additive_identity,c,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g70,plain,
( ~ defined(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c))
| ~ defined(multiplicative_identity)
| sum(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g71,plain,
( ~ defined(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity))
| ~ defined(c)
| defined(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g72,plain,
( ~ product(additive_identity,c,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity))
| product(c,additive_identity,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g73,plain,
( ~ product(multiplicative_inverse(c),c,multiplicative_identity)
| ~ product(c,additive_identity,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity))
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(multiplicative_inverse(c),add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g74,plain,
( ~ product(multiplicative_inverse(c),additive_identity,additive_identity)
| ~ product(multiplicative_inverse(c),add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity),additive_identity)
| ~ product(additive_identity,c,add(multiply(add(additive_inverse(add(additive_identity,multiplicative_inverse(c))),additive_identity),c),multiplicative_identity))
| product(additive_identity,c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g75,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
| ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| ~ sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
| sum(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g76,plain,
( ~ defined(b)
| ~ defined(c)
| product(b,c,multiply(b,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g77,plain,
( ~ sum(additive_identity,b,b)
| ~ sum(additive_identity,multiply(b,c),additive_identity)
| ~ product(additive_identity,c,additive_identity)
| ~ product(b,c,multiply(b,c))
| product(b,c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g78,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,c,additive_identity)
| ~ product(multiplicative_identity,c,c)
| product(multiplicative_inverse(b),additive_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g79,plain,
( ~ defined(multiply(b,c))
| sum(additive_identity,multiply(b,c),additive_identity)
| product(multiplicative_inverse(multiply(b,c)),multiply(b,c),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g80,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,c,multiply(b,c))
| ~ product(multiplicative_identity,c,c)
| product(multiplicative_inverse(b),multiply(b,c),c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g81,plain,
( ~ product(multiplicative_inverse(multiply(b,c)),multiply(multiply(b,c),a),a)
| product(multiply(multiply(b,c),a),multiplicative_inverse(multiply(b,c)),a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g82,plain,
( ~ product(multiplicative_inverse(multiply(b,c)),multiply(b,c),multiplicative_identity)
| ~ product(multiply(b,c),a,multiply(multiply(b,c),a))
| ~ product(multiplicative_identity,a,a)
| product(multiplicative_inverse(multiply(b,c)),multiply(multiply(b,c),a),a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g83,plain,
( ~ defined(multiply(b,c))
| ~ defined(a)
| product(multiply(b,c),a,multiply(multiply(b,c),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g84,plain,
( ~ product(multiplicative_inverse(b),multiply(multiply(b,c),a),multiply(a,c))
| ~ product(multiply(multiply(b,c),a),multiplicative_inverse(multiply(b,c)),a)
| ~ product(multiply(a,c),multiplicative_inverse(multiply(b,c)),multiply(multiply(a,c),multiplicative_inverse(multiply(b,c))))
| product(multiplicative_inverse(b),a,multiply(multiply(a,c),multiplicative_inverse(multiply(b,c)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g85,plain,
( ~ product(multiplicative_inverse(b),multiply(b,c),c)
| ~ product(multiply(b,c),a,multiply(multiply(b,c),a))
| ~ product(c,a,multiply(a,c))
| product(multiplicative_inverse(b),multiply(multiply(b,c),a),multiply(a,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD047-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n023.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 13:24:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 200.38/25.73 % symbols: 15
% 200.38/25.73 % clauses: 32
% 200.38/25.73 % start clauses: 3
% 200.38/25.73 % iterative deepening steps: 10190
% 200.38/25.73 % maximum path limit: 5
% 200.38/25.73 % literal attempts: 23181200
% 200.38/25.73 % depth failures: 16370632
% 200.38/25.73 % regularity failures: 534971
% 200.38/25.73 % tautology failures: 424617
% 200.38/25.73 % reductions: 1350782
% 200.38/25.73 % extensions: 21819131
% 200.38/25.73 % SAT variables: 2209351
% 200.38/25.73 % SAT clauses: 4153496
% 200.38/25.73 % WalkSAT solutions: 4153285
% 200.38/25.73 % CDCL solutions: 203
% 200.38/25.73 % SZS status Unsatisfiable for theBenchmark
% 200.38/25.73 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------