TSTP Solution File: FLD089-3 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD089-3 : 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 02:26:51 EDT 2022
% Result : Unsatisfiable 14.21s 2.28s
% Output : Proof 14.21s
% 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_2)]) ).
cnf(g1,plain,
less_or_equal(multiplicative_inverse(a),additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3)]) ).
cnf(g2,plain,
~ less_or_equal(a,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_4)]) ).
cnf(g3,plain,
( ~ sum(a,additive_identity,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g4,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(g5,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(g6,plain,
( ~ less_or_equal(multiplicative_inverse(a),additive_identity)
| ~ less_or_equal(additive_identity,multiplicative_inverse(a))
| sum(additive_identity,multiplicative_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).
cnf(g7,plain,
( ~ defined(a)
| ~ defined(additive_identity)
| less_or_equal(a,additive_identity)
| less_or_equal(additive_identity,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).
cnf(g8,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
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,
defined(a),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined)]) ).
cnf(g11,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| product(a,multiplicative_inverse(a),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_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(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(g14,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(additive_identity)
| product(multiplicative_inverse(a),additive_identity,multiply(multiplicative_inverse(a),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g15,plain,
( ~ defined(additive_identity)
| ~ defined(multiplicative_inverse(a))
| product(additive_identity,multiplicative_inverse(a),multiply(additive_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g16,plain,
( ~ defined(additive_identity)
| ~ defined(multiplicative_inverse(a))
| defined(multiply(additive_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g17,plain,
( ~ defined(multiplicative_inverse(a))
| product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g18,plain,
( ~ defined(multiplicative_inverse(a))
| ~ defined(additive_identity)
| defined(multiply(multiplicative_inverse(a),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g19,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(g20,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g21,plain,
( ~ defined(multiplicative_identity)
| sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g22,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(g23,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g24,plain,
( ~ product(a,multiplicative_inverse(a),multiplicative_identity)
| ~ product(multiplicative_inverse(a),additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(a,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g25,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g26,plain,
( ~ product(multiplicative_inverse(a),additive_identity,additive_identity)
| product(additive_identity,multiplicative_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g27,plain,
( ~ product(a,additive_identity,additive_identity)
| product(additive_identity,a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g28,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(g29,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(g30,plain,
( ~ defined(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',existence_of_identity_addition)]) ).
cnf(g31,plain,
( ~ defined(a)
| ~ defined(a)
| product(a,a,multiply(a,a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g32,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(a,additive_identity,add(a,additive_identity))
| ~ less_or_equal(additive_identity,a)
| less_or_equal(additive_identity,add(a,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).
cnf(g33,plain,
( ~ defined(a)
| ~ defined(additive_identity)
| sum(a,additive_identity,add(a,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g34,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).
cnf(g35,plain,
( ~ product(additive_identity,multiplicative_inverse(a),multiply(additive_identity,multiplicative_inverse(a)))
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| product(multiply(additive_identity,multiplicative_inverse(a)),a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g36,plain,
( ~ product(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a))
| product(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g37,plain,
( ~ sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| sum(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g38,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(additive_identity,add(a,additive_identity),additive_identity)
| ~ sum(a,additive_identity,add(a,additive_identity))
| sum(a,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g39,plain,
( ~ less_or_equal(add(a,additive_identity),additive_identity)
| ~ less_or_equal(additive_identity,add(a,additive_identity))
| sum(additive_identity,add(a,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).
cnf(g40,plain,
( ~ defined(multiply(multiplicative_inverse(a),additive_identity))
| product(multiplicative_identity,multiply(multiplicative_inverse(a),additive_identity),multiply(multiplicative_inverse(a),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g41,plain,
( ~ defined(multiply(multiplicative_inverse(a),additive_identity))
| sum(additive_identity,multiply(multiplicative_inverse(a),additive_identity),additive_identity)
| product(multiplicative_inverse(multiply(multiplicative_inverse(a),additive_identity)),multiply(multiplicative_inverse(a),additive_identity),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g42,plain,
( ~ product(additive_identity,multiplicative_inverse(a),multiply(additive_identity,multiplicative_inverse(a)))
| product(multiplicative_inverse(a),additive_identity,multiply(additive_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g43,plain,
( ~ defined(multiply(additive_identity,multiplicative_inverse(a)))
| sum(additive_identity,multiply(additive_identity,multiplicative_inverse(a)),multiply(additive_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g44,plain,
( ~ sum(multiplicative_inverse(a),additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,multiplicative_inverse(a))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiplicative_inverse(a),multiplicative_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g45,plain,
( ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ less_or_equal(additive_identity,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).
cnf(g46,plain,
( ~ less_or_equal(additive_identity,multiply(additive_identity,additive_identity))
| ~ less_or_equal(multiply(additive_identity,additive_identity),additive_identity)
| sum(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).
cnf(g47,plain,
defined(multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity)]) ).
cnf(g48,plain,
( ~ sum(a,additive_identity,add(a,additive_identity))
| sum(additive_identity,a,add(a,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g49,plain,
( ~ defined(multiplicative_identity)
| ~ defined(multiplicative_inverse(a))
| product(multiplicative_identity,multiplicative_inverse(a),multiply(multiplicative_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g50,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(g51,plain,
( ~ sum(multiply(additive_identity,multiplicative_inverse(a)),additive_identity,multiply(additive_identity,multiplicative_inverse(a)))
| ~ product(multiply(additive_identity,multiplicative_inverse(a)),a,additive_identity)
| ~ product(additive_identity,a,a)
| ~ product(multiply(additive_identity,multiplicative_inverse(a)),a,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g52,plain,
( ~ defined(additive_inverse(multiplicative_identity))
| ~ defined(a)
| product(additive_inverse(multiplicative_identity),a,multiply(additive_inverse(multiplicative_identity),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g53,plain,
( ~ sum(multiply(additive_identity,additive_identity),additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ sum(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(g54,plain,
( ~ sum(additive_identity,multiply(additive_identity,multiplicative_inverse(a)),multiply(additive_identity,multiplicative_inverse(a)))
| sum(multiply(additive_identity,multiplicative_inverse(a)),additive_identity,multiply(additive_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g55,plain,
( ~ sum(additive_identity,additive_identity,multiplicative_inverse(a))
| ~ sum(additive_identity,additive_identity,multiplicative_inverse(a))
| ~ product(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,additive_identity,additive_identity)
| product(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g56,plain,
( ~ sum(multiplicative_inverse(a),multiplicative_inverse(a),additive_identity)
| ~ sum(multiply(additive_identity,multiplicative_inverse(a)),multiply(additive_identity,multiplicative_inverse(a)),additive_identity)
| ~ product(multiplicative_inverse(a),additive_identity,multiply(additive_identity,multiplicative_inverse(a)))
| ~ product(multiplicative_inverse(a),additive_identity,multiply(additive_identity,multiplicative_inverse(a)))
| product(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g57,plain,
( ~ product(multiplicative_inverse(multiply(multiplicative_inverse(a),additive_identity)),multiply(multiplicative_inverse(a),additive_identity),multiplicative_identity)
| ~ product(multiplicative_inverse(multiply(multiplicative_inverse(a),additive_identity)),multiply(multiplicative_inverse(a),additive_identity),multiplicative_identity)
| ~ product(multiply(multiplicative_inverse(a),additive_identity),additive_identity,multiply(multiplicative_inverse(a),additive_identity))
| product(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g58,plain,
( ~ sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(additive_identity,multiplicative_inverse(a),multiply(additive_identity,multiplicative_inverse(a)))
| ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| sum(multiply(additive_identity,multiplicative_inverse(a)),multiplicative_inverse(a),multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g59,plain,
( ~ sum(multiply(additive_identity,multiplicative_inverse(a)),multiplicative_inverse(a),multiplicative_inverse(a))
| ~ sum(multiplicative_inverse(a),additive_identity,additive_identity)
| ~ sum(multiplicative_inverse(a),additive_identity,additive_identity)
| sum(multiply(additive_identity,multiplicative_inverse(a)),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g60,plain,
( ~ sum(multiplicative_inverse(a),additive_identity,additive_identity)
| ~ sum(multiplicative_inverse(a),additive_identity,multiplicative_inverse(a))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,additive_identity,multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g61,plain,
( ~ sum(multiply(additive_identity,multiplicative_inverse(a)),additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,multiplicative_inverse(a)),additive_identity,multiply(additive_identity,multiplicative_inverse(a)))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,additive_identity,multiply(additive_identity,multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g62,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,multiply(additive_identity,multiplicative_inverse(a)))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,multiply(additive_identity,multiplicative_inverse(a)),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g63,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(g64,plain,
( ~ product(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| ~ product(multiplicative_inverse(a),multiply(a,a),a)
| ~ product(multiplicative_inverse(a),multiply(a,a),a)
| product(additive_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g65,plain,
( ~ sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| ~ sum(additive_identity,multiply(multiplicative_inverse(a),additive_identity),additive_identity)
| ~ product(additive_identity,additive_identity,additive_identity)
| ~ product(multiplicative_inverse(a),additive_identity,multiply(multiplicative_inverse(a),additive_identity))
| product(multiplicative_inverse(a),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g66,plain,
( ~ product(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ product(multiplicative_identity,a,a)
| ~ product(multiplicative_identity,a,a)
| product(additive_identity,a,a) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g67,plain,
( ~ sum(additive_identity,additive_identity,multiply(additive_identity,multiplicative_inverse(a)))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,multiply(additive_identity,multiplicative_inverse(a)),additive_identity)
| sum(multiply(additive_identity,multiplicative_inverse(a)),multiply(additive_identity,multiplicative_inverse(a)),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g68,plain,
( ~ defined(additive_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(a))
| product(additive_inverse(multiplicative_identity),multiplicative_inverse(a),multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g69,plain,
( ~ defined(multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)))
| ~ defined(additive_identity)
| less_or_equal(multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)),additive_identity)
| less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).
cnf(g70,plain,
( ~ defined(additive_inverse(multiplicative_identity))
| ~ defined(multiplicative_inverse(a))
| defined(multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g71,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| defined(multiply(additive_identity,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g72,plain,
( ~ sum(additive_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| ~ sum(additive_identity,multiply(additive_identity,additive_identity),additive_identity)
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(multiply(additive_identity,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).
cnf(g73,plain,
( ~ product(multiplicative_identity,multiplicative_inverse(a),multiply(multiplicative_identity,multiplicative_inverse(a)))
| ~ product(multiplicative_identity,multiply(multiplicative_inverse(a),additive_identity),multiply(multiplicative_inverse(a),additive_identity))
| ~ product(multiplicative_inverse(a),additive_identity,multiply(multiplicative_inverse(a),additive_identity))
| product(multiply(multiplicative_identity,multiplicative_inverse(a)),additive_identity,multiply(multiplicative_inverse(a),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g74,plain,
( ~ product(multiply(multiplicative_identity,multiplicative_inverse(a)),additive_identity,multiply(multiplicative_inverse(a),additive_identity))
| ~ product(multiply(multiplicative_identity,multiplicative_inverse(a)),additive_identity,multiply(multiplicative_inverse(a),additive_identity))
| ~ product(additive_identity,additive_identity,additive_identity)
| product(multiply(multiplicative_inverse(a),additive_identity),additive_identity,multiply(multiplicative_inverse(a),additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g75,plain,
( ~ defined(multiplicative_identity)
| defined(additive_inverse(multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g76,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(g77,plain,
( ~ sum(multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)),multiplicative_inverse(a),additive_identity)
| ~ sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| ~ less_or_equal(multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)),additive_identity)
| less_or_equal(additive_identity,multiplicative_inverse(a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).
cnf(g78,plain,
( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
| ~ product(additive_inverse(multiplicative_identity),multiplicative_inverse(a),multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)))
| ~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| ~ product(additive_identity,multiplicative_inverse(a),additive_identity)
| sum(multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)),multiplicative_inverse(a),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g79,plain,
( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
| ~ product(additive_inverse(multiplicative_identity),a,multiply(additive_inverse(multiplicative_identity),a))
| ~ product(multiplicative_identity,a,a)
| ~ product(additive_identity,a,additive_identity)
| sum(multiply(additive_inverse(multiplicative_identity),a),a,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g80,plain,
( ~ product(additive_inverse(multiplicative_identity),a,multiply(additive_inverse(multiplicative_identity),a))
| ~ less_or_equal(additive_identity,additive_inverse(multiplicative_identity))
| ~ less_or_equal(additive_identity,a)
| less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),a)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).
cnf(g81,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(g82,plain,
( ~ defined(additive_inverse(multiplicative_identity))
| product(multiplicative_identity,additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g83,plain,
( ~ sum(additive_identity,a,add(a,additive_identity))
| ~ sum(multiply(additive_inverse(multiplicative_identity),a),a,additive_identity)
| ~ less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),a))
| less_or_equal(add(a,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition)]) ).
cnf(g84,plain,
( ~ product(a,multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)),additive_inverse(multiplicative_identity))
| ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(additive_identity,multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)))
| less_or_equal(additive_identity,additive_inverse(multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',compatibility_of_order_relation_and_multiplication)]) ).
cnf(g85,plain,
( ~ product(a,multiplicative_inverse(a),multiplicative_identity)
| ~ product(multiplicative_inverse(a),additive_inverse(multiplicative_identity),multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)))
| ~ product(multiplicative_identity,additive_inverse(multiplicative_identity),additive_inverse(multiplicative_identity))
| product(a,multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)),additive_inverse(multiplicative_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g86,plain,
( ~ product(additive_inverse(multiplicative_identity),multiplicative_inverse(a),multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a)))
| product(multiplicative_inverse(a),additive_inverse(multiplicative_identity),multiply(additive_inverse(multiplicative_identity),multiplicative_inverse(a))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD089-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n024.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 : Tue Jun 7 03:26:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 14.21/2.28 % symbols: 13
% 14.21/2.28 % clauses: 30
% 14.21/2.28 % start clauses: 3
% 14.21/2.28 % iterative deepening steps: 2307
% 14.21/2.28 % maximum path limit: 5
% 14.21/2.28 % literal attempts: 3427071
% 14.21/2.28 % depth failures: 2192090
% 14.21/2.28 % regularity failures: 137159
% 14.21/2.28 % tautology failures: 252765
% 14.21/2.28 % reductions: 480978
% 14.21/2.28 % extensions: 2944928
% 14.21/2.28 % SAT variables: 259828
% 14.21/2.28 % SAT clauses: 548433
% 14.21/2.28 % WalkSAT solutions: 548410
% 14.21/2.28 % CDCL solutions: 24
% 14.21/2.28 % SZS status Unsatisfiable for theBenchmark
% 14.21/2.28 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------