TSTP Solution File: FLD047-4 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : FLD047-4 : 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 02:26:32 EDT 2022
% Result : Unsatisfiable 3.03s 0.77s
% Output : Proof 3.03s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sum(additive_identity,b,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7)]) ).
cnf(g1,plain,
~ sum(additive_identity,c,additive_identity),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_8)]) ).
cnf(g2,plain,
product(a,multiplicative_inverse(b),u),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_9)]) ).
cnf(g3,plain,
product(a,c,s),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_10)]) ).
cnf(g4,plain,
product(b,c,t),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_11)]) ).
cnf(g5,plain,
~ product(s,multiplicative_inverse(t),u),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_12)]) ).
cnf(g6,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(g7,plain,
( ~ product(b,c,t)
| product(c,b,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g8,plain,
defined(b),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined)]) ).
cnf(g9,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g10,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g11,plain,
defined(c),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined)]) ).
cnf(g12,plain,
( ~ defined(c)
| sum(additive_inverse(c),c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g13,plain,
( ~ defined(c)
| product(multiplicative_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g14,plain,
( ~ defined(c)
| ~ defined(additive_identity)
| product(c,additive_identity,multiply(c,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g15,plain,
( ~ defined(b)
| ~ defined(b)
| sum(b,b,add(b,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g16,plain,
( ~ sum(additive_identity,b,b)
| sum(b,additive_identity,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g17,plain,
( ~ sum(b,b,add(b,b))
| ~ sum(t,t,add(t,t))
| ~ product(b,c,t)
| ~ product(b,c,t)
| product(add(b,b),c,add(t,t)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g18,plain,
( ~ defined(t)
| ~ defined(t)
| sum(t,t,add(t,t)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g19,plain,
( ~ defined(t)
| sum(additive_identity,t,additive_identity)
| product(multiplicative_inverse(t),t,multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_multiplication)]) ).
cnf(g20,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g21,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_inverse_addition)]) ).
cnf(g22,plain,
( ~ defined(additive_inverse(b))
| ~ defined(c)
| product(additive_inverse(b),c,multiply(additive_inverse(b),c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g23,plain,
( ~ defined(c)
| sum(additive_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g24,plain,
( ~ defined(u)
| product(multiplicative_identity,u,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_multiplication)]) ).
cnf(g25,plain,
( ~ sum(additive_identity,t,additive_identity)
| sum(t,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g26,plain,
( ~ defined(t)
| ~ defined(additive_identity)
| product(t,additive_identity,multiply(t,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g27,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,c,t)
| ~ product(multiplicative_identity,c,c)
| product(multiplicative_inverse(b),t,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g28,plain,
( ~ product(multiplicative_inverse(b),t,c)
| ~ product(multiplicative_inverse(b),t,c)
| ~ product(t,additive_identity,t)
| product(c,additive_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g29,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(g30,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(g31,plain,
defined(additive_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_identity)]) ).
cnf(g32,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(g33,plain,
defined(u),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined)]) ).
cnf(g34,plain,
defined(t),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_defined)]) ).
cnf(g35,plain,
( ~ product(add(b,b),c,add(t,t))
| ~ product(add(b,b),multiply(c,additive_identity),additive_identity)
| ~ product(c,additive_identity,multiply(c,additive_identity))
| product(add(t,t),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g36,plain,
( ~ product(multiplicative_identity,c,c)
| ~ product(c,b,t)
| ~ product(c,b,t)
| product(multiplicative_identity,t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g37,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,t,additive_identity)
| ~ sum(additive_identity,t,t)
| sum(additive_identity,additive_identity,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g38,plain,
( ~ product(c,additive_identity,c)
| product(additive_identity,c,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g39,plain,
( ~ sum(c,c,add(c,c))
| ~ sum(t,t,add(t,t))
| ~ product(c,b,t)
| ~ product(c,b,t)
| product(add(c,c),b,add(t,t)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g40,plain,
( ~ defined(c)
| ~ defined(c)
| sum(c,c,add(c,c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g41,plain,
( ~ product(add(c,c),b,add(t,t))
| ~ product(b,additive_identity,additive_identity)
| ~ product(add(t,t),additive_identity,additive_identity)
| product(add(c,c),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g42,plain,
( ~ product(c,additive_identity,multiply(c,additive_identity))
| product(additive_identity,c,multiply(c,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g43,plain,
( ~ product(c,additive_inverse(b),multiply(c,additive_inverse(b)))
| product(additive_inverse(b),c,multiply(c,additive_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g44,plain,
( ~ defined(c)
| ~ defined(additive_inverse(b))
| product(c,additive_inverse(b),multiply(c,additive_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g45,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ product(additive_inverse(b),c,multiply(additive_inverse(b),c))
| ~ product(b,c,t)
| ~ product(additive_identity,c,multiply(c,additive_identity))
| sum(multiply(additive_inverse(b),c),t,multiply(c,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g46,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g47,plain,
( ~ defined(multiply(c,additive_identity))
| sum(additive_identity,multiply(c,additive_identity),multiply(c,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',existence_of_identity_addition)]) ).
cnf(g48,plain,
( ~ sum(multiply(c,additive_identity),additive_identity,additive_identity)
| sum(additive_identity,multiply(c,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g49,plain,
( ~ sum(multiply(additive_inverse(b),c),t,multiply(c,additive_identity))
| ~ sum(multiply(additive_inverse(b),c),additive_identity,additive_identity)
| ~ sum(t,additive_identity,additive_identity)
| sum(multiply(c,additive_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g50,plain,
( ~ product(multiplicative_identity,u,u)
| product(u,multiplicative_identity,u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g51,plain,
( ~ product(multiplicative_identity,c,c)
| product(c,multiplicative_identity,c) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g52,plain,
defined(multiplicative_identity),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity)]) ).
cnf(g53,plain,
( ~ product(multiplicative_identity,t,t)
| ~ product(t,multiplicative_identity,additive_identity)
| ~ product(t,multiplicative_identity,t)
| product(multiplicative_identity,additive_identity,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g54,plain,
( ~ product(b,c,t)
| ~ product(b,c,t)
| ~ product(c,multiplicative_identity,c)
| product(t,multiplicative_identity,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g55,plain,
( ~ sum(additive_identity,t,t)
| ~ sum(additive_identity,t,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| ~ product(t,multiplicative_identity,t)
| product(t,multiplicative_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g56,plain,
( ~ sum(additive_identity,c,c)
| ~ product(additive_identity,b,multiply(additive_identity,b))
| ~ product(c,b,t)
| ~ product(c,b,t)
| sum(multiply(additive_identity,b),t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g57,plain,
( ~ sum(multiply(additive_identity,b),t,t)
| ~ sum(t,additive_identity,additive_identity)
| ~ sum(t,additive_identity,additive_identity)
| sum(multiply(additive_identity,b),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g58,plain,
( ~ sum(t,additive_identity,additive_identity)
| ~ sum(additive_identity,t,t)
| ~ sum(additive_identity,t,additive_identity)
| sum(t,t,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g59,plain,
( ~ sum(multiplicative_identity,multiplicative_identity,add(multiplicative_identity,multiplicative_identity))
| ~ sum(additive_identity,t,t)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,t)
| product(add(multiplicative_identity,multiplicative_identity),additive_identity,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g60,plain,
( ~ product(add(multiplicative_identity,multiplicative_identity),additive_identity,t)
| ~ product(add(multiplicative_identity,multiplicative_identity),additive_identity,t)
| ~ product(additive_identity,additive_identity,additive_identity)
| product(t,additive_identity,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g61,plain,
( ~ product(additive_identity,b,additive_identity)
| product(b,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g62,plain,
( ~ sum(additive_identity,multiply(c,additive_identity),multiply(c,additive_identity))
| sum(multiply(c,additive_identity),additive_identity,multiply(c,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g63,plain,
( ~ defined(c)
| defined(additive_inverse(c)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_additive_inverse)]) ).
cnf(g64,plain,
( ~ defined(t)
| ~ defined(t)
| less_or_equal(t,t)
| less_or_equal(t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_order_relation)]) ).
cnf(g65,plain,
( ~ sum(additive_identity,multiply(t,additive_identity),additive_identity)
| sum(multiply(t,additive_identity),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g66,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| sum(b,additive_inverse(b),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_addition)]) ).
cnf(g67,plain,
( ~ sum(additive_identity,t,additive_identity)
| ~ sum(additive_identity,t,additive_identity)
| ~ sum(t,c,t)
| sum(additive_identity,c,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g68,plain,
( ~ sum(b,additive_identity,b)
| ~ product(b,c,t)
| ~ product(additive_identity,c,c)
| ~ product(b,c,t)
| sum(t,c,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g69,plain,
( ~ less_or_equal(t,t)
| ~ less_or_equal(t,t)
| sum(additive_identity,t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',antisymmetry_of_order_relation)]) ).
cnf(g70,plain,
( ~ product(multiplicative_inverse(t),t,multiplicative_identity)
| product(t,multiplicative_inverse(t),multiplicative_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g71,plain,
( ~ defined(c)
| ~ defined(additive_identity)
| defined(multiply(c,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g72,plain,
( ~ product(u,t,s)
| ~ product(u,multiplicative_identity,u)
| ~ product(t,multiplicative_inverse(t),multiplicative_identity)
| product(s,multiplicative_inverse(t),u) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g73,plain,
( ~ product(a,multiplicative_inverse(b),u)
| ~ product(a,c,s)
| ~ product(multiplicative_inverse(b),t,c)
| product(u,t,s) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g74,plain,
( ~ sum(c,c,add(c,c))
| ~ sum(t,t,additive_identity)
| ~ product(c,b,t)
| ~ product(c,b,t)
| product(add(c,c),b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g75,plain,
( ~ product(b,c,t)
| ~ product(c,additive_identity,multiply(c,additive_identity))
| ~ product(t,additive_identity,multiply(t,additive_identity))
| product(b,multiply(c,additive_identity),multiply(t,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_1)]) ).
cnf(g76,plain,
( ~ sum(b,b,add(b,b))
| ~ sum(multiply(t,additive_identity),multiply(t,additive_identity),additive_identity)
| ~ product(b,multiply(c,additive_identity),multiply(t,additive_identity))
| ~ product(b,multiply(c,additive_identity),multiply(t,additive_identity))
| product(add(b,b),multiply(c,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g77,plain,
( ~ sum(additive_identity,additive_identity,multiply(t,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,multiply(t,additive_identity),additive_identity)
| sum(multiply(t,additive_identity),multiply(t,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g78,plain,
( ~ product(b,multiply(c,additive_identity),multiply(t,additive_identity))
| product(multiply(c,additive_identity),b,multiply(t,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',commutativity_multiplication)]) ).
cnf(g79,plain,
( ~ sum(additive_identity,multiply(c,additive_identity),additive_identity)
| ~ product(additive_identity,b,additive_identity)
| ~ product(multiply(c,additive_identity),b,multiply(t,additive_identity))
| ~ product(additive_identity,b,additive_identity)
| sum(additive_identity,multiply(t,additive_identity),additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g80,plain,
( ~ sum(multiply(c,additive_identity),additive_identity,multiply(c,additive_identity))
| ~ product(multiply(c,additive_identity),b,multiply(t,additive_identity))
| ~ product(additive_identity,b,additive_identity)
| ~ product(multiply(c,additive_identity),b,multiply(t,additive_identity))
| sum(multiply(t,additive_identity),additive_identity,multiply(t,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g81,plain,
( ~ sum(multiply(t,additive_identity),additive_identity,additive_identity)
| ~ sum(multiply(t,additive_identity),additive_identity,multiply(t,additive_identity))
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(additive_identity,additive_identity,multiply(t,additive_identity)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_2)]) ).
cnf(g82,plain,
( ~ product(add(c,c),b,additive_identity)
| ~ product(add(c,c),additive_identity,additive_identity)
| ~ product(b,additive_identity,additive_identity)
| product(additive_identity,additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_multiplication_2)]) ).
cnf(g83,plain,
( ~ sum(additive_inverse(c),c,additive_identity)
| ~ sum(multiply(additive_inverse(c),b),t,additive_identity)
| ~ product(additive_inverse(c),b,multiply(additive_inverse(c),b))
| ~ product(c,b,t)
| product(additive_identity,b,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g84,plain,
( ~ defined(additive_inverse(c))
| ~ defined(b)
| product(additive_inverse(c),b,multiply(additive_inverse(c),b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_multiplication)]) ).
cnf(g85,plain,
( ~ sum(multiply(additive_inverse(c),b),additive_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,t)
| ~ sum(additive_identity,additive_identity,additive_identity)
| sum(multiply(additive_inverse(c),b),t,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g86,plain,
( ~ sum(additive_inverse(c),c,additive_identity)
| ~ product(additive_inverse(c),b,multiply(additive_inverse(c),b))
| ~ product(c,b,t)
| ~ product(additive_identity,b,multiply(additive_identity,b))
| sum(multiply(additive_inverse(c),b),t,multiply(additive_identity,b)) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g87,plain,
( ~ sum(multiply(additive_inverse(c),b),t,multiply(additive_identity,b))
| ~ sum(t,additive_identity,additive_identity)
| ~ sum(multiply(additive_identity,b),additive_identity,additive_identity)
| sum(multiply(additive_inverse(c),b),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g88,plain,
( ~ sum(b,additive_inverse(b),additive_identity)
| ~ sum(t,multiply(c,additive_inverse(b)),add(t,multiply(c,additive_inverse(b))))
| ~ product(b,c,t)
| ~ product(additive_inverse(b),c,multiply(c,additive_inverse(b)))
| product(additive_identity,c,add(t,multiply(c,additive_inverse(b)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_2)]) ).
cnf(g89,plain,
( ~ defined(t)
| ~ defined(multiply(c,additive_inverse(b)))
| sum(t,multiply(c,additive_inverse(b)),add(t,multiply(c,additive_inverse(b)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',totality_of_addition)]) ).
cnf(g90,plain,
( ~ defined(c)
| ~ defined(additive_inverse(b))
| defined(multiply(c,additive_inverse(b))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',well_definedness_of_multiplication)]) ).
cnf(g91,plain,
( ~ sum(additive_identity,b,b)
| ~ product(additive_identity,c,add(t,multiply(c,additive_inverse(b))))
| ~ product(b,c,t)
| ~ product(b,c,t)
| sum(add(t,multiply(c,additive_inverse(b))),t,t) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g92,plain,
( ~ sum(add(t,multiply(c,additive_inverse(b))),t,t)
| ~ sum(t,additive_identity,additive_identity)
| ~ sum(t,additive_identity,additive_identity)
| sum(add(t,multiply(c,additive_inverse(b))),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
cnf(g93,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ product(additive_inverse(b),c,multiply(additive_inverse(b),c))
| ~ product(b,c,t)
| ~ product(additive_identity,c,add(t,multiply(c,additive_inverse(b))))
| sum(multiply(additive_inverse(b),c),t,add(t,multiply(c,additive_inverse(b)))) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',distributivity_1)]) ).
cnf(g94,plain,
( ~ sum(multiply(additive_inverse(b),c),t,add(t,multiply(c,additive_inverse(b))))
| ~ sum(t,additive_identity,additive_identity)
| ~ sum(add(t,multiply(c,additive_inverse(b))),additive_identity,additive_identity)
| sum(multiply(additive_inverse(b),c),additive_identity,additive_identity) ),
inference(ground_cnf,[],[file('Axioms/FLD002-0.ax',associativity_addition_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD047-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.11 % Command : satcop --statistics %s
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon Jun 6 18:11:50 EDT 2022
% 0.11/0.32 % CPUTime :
% 3.03/0.77 % symbols: 18
% 3.03/0.77 % clauses: 38
% 3.03/0.77 % start clauses: 6
% 3.03/0.77 % iterative deepening steps: 380
% 3.03/0.77 % maximum path limit: 3
% 3.03/0.77 % literal attempts: 568776
% 3.03/0.77 % depth failures: 349907
% 3.03/0.77 % regularity failures: 5912
% 3.03/0.77 % tautology failures: 20869
% 3.03/0.77 % reductions: 133474
% 3.03/0.77 % extensions: 433537
% 3.03/0.77 % SAT variables: 77749
% 3.03/0.77 % SAT clauses: 184167
% 3.03/0.77 % WalkSAT solutions: 184163
% 3.03/0.77 % CDCL solutions: 3
% 3.03/0.77 % SZS status Unsatisfiable for theBenchmark
% 3.03/0.77 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------