TSTP Solution File: FLD041-3 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD041-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 : 300s
% DateTime : Wed Aug 30 22:33:07 EDT 2023
% Result : Unsatisfiable 21.21s 3.68s
% Output : CNFRefutation 21.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of clauses : 94 ( 10 unt; 6 nHn; 94 RR)
% Number of literals : 286 ( 0 equ; 188 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 145 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(c_50,plain,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(c_51,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
cnf(c_52,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
cnf(c_53,negated_conjecture,
product(a,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
cnf(c_54,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(c_56,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_58,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(c_61,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_62,plain,
( ~ defined(X0)
| product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(c_63,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_64,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ product(X2,X3,X6)
| sum(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(c_65,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X4,X5)
| ~ product(X0,X6,X3)
| ~ product(X1,X6,X4)
| product(X2,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
cnf(c_67,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_69,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
cnf(c_70,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(c_73,plain,
( ~ defined(X0)
| ~ defined(X1)
| product(X0,X1,multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(c_81,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_82,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_84,plain,
( ~ defined(additive_identity)
| defined(multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_88,plain,
( ~ defined(additive_identity)
| product(additive_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_92,plain,
( ~ defined(a)
| product(multiplicative_inverse(a),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_93,plain,
( ~ defined(b)
| product(multiplicative_inverse(b),b,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_97,plain,
( ~ product(a,b,additive_identity)
| product(b,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_98,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_99,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_114,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X0,multiplicative_identity)
| ~ product(multiplicative_identity,X1,X1)
| product(X3,X2,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_115,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X2,X3,X0)
| ~ product(X3,X1,X4)
| product(X2,X4,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_121,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,multiplicative_identity,X3)
| ~ product(multiplicative_identity,X1,X1)
| product(X3,X1,X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_122,plain,
( ~ product(X0,multiply(X1,X2),X3)
| ~ product(X1,X2,multiply(X1,X2))
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_129,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,additive_identity)
| ~ product(X1,X3,a)
| ~ product(X2,X3,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_158,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(b,multiplicative_inverse(b),multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_237,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_238,plain,
( ~ sum(X0,X1,a)
| sum(X1,X0,a) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_584,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_608,plain,
( ~ defined(b)
| product(multiplicative_identity,b,b) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_611,plain,
( ~ defined(X0)
| ~ defined(b)
| product(X0,b,multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_612,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| product(additive_identity,b,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_611]) ).
cnf(c_647,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,multiplicative_identity,X3)
| ~ product(X2,multiplicative_identity,X2)
| product(X0,X3,X2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_648,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,multiplicative_identity,X3)
| ~ product(X1,multiplicative_identity,X1)
| product(X2,multiplicative_identity,X4) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_649,plain,
( ~ product(multiplicative_identity,a,a)
| product(a,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_755,plain,
( ~ defined(multiplicative_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_756,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(a,X0,X1)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_inverse(a),X1,X0) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_777,plain,
( ~ product(X0,multiplicative_identity,X0)
| ~ product(X0,multiplicative_identity,X1)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| product(X1,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_835,plain,
( ~ product(X0,b,multiply(X0,b))
| ~ product(X1,a,X0)
| ~ product(a,b,additive_identity)
| product(X1,additive_identity,multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_848,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X2,X1,multiply(X1,X2))
| ~ product(X3,X2,X0)
| product(X3,multiply(X1,X2),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_891,plain,
( ~ defined(X0)
| product(X0,multiplicative_inverse(X0),multiplicative_identity)
| sum(additive_identity,X0,additive_identity) ),
inference(superposition,[status(thm)],[c_62,c_63]) ).
cnf(c_1102,plain,
( ~ defined(multiply(X0,X1))
| product(multiplicative_identity,multiply(X0,X1),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_1103,plain,
( ~ defined(multiply(additive_identity,additive_identity))
| product(multiplicative_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_1102]) ).
cnf(c_1255,plain,
( ~ product(additive_identity,b,multiply(additive_identity,b))
| ~ product(a,b,additive_identity)
| ~ product(b,a,additive_identity)
| product(b,additive_identity,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_835]) ).
cnf(c_1332,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| ~ defined(X1)
| sum(X3,X2,X1) ),
inference(resolution,[status(thm)],[c_54,c_56]) ).
cnf(c_1343,plain,
( ~ product(b,multiplicative_inverse(b),multiplicative_identity)
| ~ product(X0,b,X1)
| ~ product(X0,multiplicative_identity,X2)
| product(X1,multiplicative_inverse(b),X2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1344,plain,
( ~ product(b,multiplicative_inverse(b),multiplicative_identity)
| ~ product(additive_identity,b,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_inverse(b),additive_identity) ),
inference(instantiation,[status(thm)],[c_1343]) ).
cnf(c_1552,plain,
( ~ product(b,X0,X1)
| ~ product(additive_identity,X0,X2)
| product(a,X1,X2) ),
inference(superposition,[status(thm)],[c_53,c_59]) ).
cnf(c_1711,plain,
( ~ product(additive_identity,multiplicative_inverse(b),X0)
| ~ defined(b)
| product(a,multiplicative_identity,X0)
| sum(additive_identity,b,additive_identity) ),
inference(superposition,[status(thm)],[c_891,c_1552]) ).
cnf(c_1713,plain,
( ~ product(additive_identity,multiplicative_inverse(b),additive_identity)
| ~ defined(b)
| sum(additive_identity,b,additive_identity)
| product(a,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_1711]) ).
cnf(c_1809,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(instantiation,[status(thm)],[c_238]) ).
cnf(c_1928,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ product(X1,b,X3)
| sum(X2,X3,additive_identity) ),
inference(resolution,[status(thm)],[c_64,c_53]) ).
cnf(c_2144,plain,
product(b,a,additive_identity),
inference(superposition,[status(thm)],[c_53,c_63]) ).
cnf(c_2592,plain,
( ~ product(a,X0,X1)
| ~ product(b,X1,X2)
| product(additive_identity,X0,X2) ),
inference(superposition,[status(thm)],[c_2144,c_60]) ).
cnf(c_2743,plain,
( ~ product(X0,b,X1)
| ~ sum(X0,a,a)
| sum(X1,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_1928,c_53]) ).
cnf(c_2749,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ defined(X1)
| ~ defined(b)
| sum(X2,multiply(X1,b),additive_identity) ),
inference(resolution,[status(thm)],[c_1928,c_73]) ).
cnf(c_2825,plain,
( ~ sum(a,a,a)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(resolution,[status(thm)],[c_2743,c_53]) ).
cnf(c_2890,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(global_subsumption_just,[status(thm)],[c_2825,c_67,c_82]) ).
cnf(c_2916,plain,
( ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(a,b,additive_identity)
| ~ product(multiplicative_identity,b,b)
| product(multiplicative_inverse(a),additive_identity,b) ),
inference(instantiation,[status(thm)],[c_756]) ).
cnf(c_3447,plain,
( ~ sum(additive_identity,X0,X1)
| ~ defined(X0)
| sum(additive_identity,X1,X0) ),
inference(resolution,[status(thm)],[c_1332,c_2890]) ).
cnf(c_3495,plain,
( ~ product(b,additive_identity,X0)
| product(additive_identity,b,X0) ),
inference(superposition,[status(thm)],[c_53,c_2592]) ).
cnf(c_3502,plain,
( ~ product(b,additive_identity,additive_identity)
| product(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_3495]) ).
cnf(c_3658,plain,
( ~ product(a,multiplicative_identity,X0)
| ~ product(a,multiplicative_identity,a)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| product(X0,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_777]) ).
cnf(c_3660,plain,
( ~ product(a,multiplicative_identity,a)
| ~ product(a,multiplicative_identity,additive_identity)
| ~ product(multiplicative_identity,multiplicative_identity,multiplicative_identity)
| product(additive_identity,multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[c_3658]) ).
cnf(c_4027,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,multiplicative_identity,additive_identity)
| ~ product(X1,multiplicative_identity,a)
| ~ product(X2,multiplicative_identity,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_4029,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,a)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_4027]) ).
cnf(c_4119,plain,
( ~ product(a,X0,multiply(X1,X0))
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_inverse(a),multiply(X1,X0),X0) ),
inference(instantiation,[status(thm)],[c_756]) ).
cnf(c_4121,plain,
( ~ product(a,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(multiplicative_inverse(a),multiply(additive_identity,additive_identity),additive_identity) ),
inference(instantiation,[status(thm)],[c_4119]) ).
cnf(c_5662,plain,
( ~ product(b,X0,multiply(X0,b))
| ~ product(additive_identity,X0,multiply(additive_identity,X0))
| ~ product(a,b,additive_identity)
| product(a,multiply(X0,b),multiply(additive_identity,X0)) ),
inference(instantiation,[status(thm)],[c_848]) ).
cnf(c_5663,plain,
( ~ product(b,additive_identity,multiply(additive_identity,b))
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(a,b,additive_identity)
| product(a,multiply(additive_identity,b),multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_5662]) ).
cnf(c_6222,plain,
( ~ product(multiply(additive_identity,X0),multiplicative_identity,multiply(additive_identity,X0))
| ~ product(a,multiply(X0,b),multiply(additive_identity,X0))
| ~ product(multiply(X0,b),multiplicative_identity,X1)
| product(a,X1,multiply(additive_identity,X0)) ),
inference(instantiation,[status(thm)],[c_647]) ).
cnf(c_6227,plain,
( ~ product(multiply(additive_identity,additive_identity),multiplicative_identity,multiply(additive_identity,additive_identity))
| ~ product(a,multiply(additive_identity,b),multiply(additive_identity,additive_identity))
| ~ product(multiply(additive_identity,b),multiplicative_identity,additive_identity)
| product(a,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_6222]) ).
cnf(c_14489,plain,
( ~ defined(X0)
| ~ defined(b)
| defined(multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_14490,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| defined(multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_14489]) ).
cnf(c_16838,plain,
( ~ product(multiplicative_inverse(a),multiply(additive_identity,X0),X1)
| ~ product(additive_identity,X0,multiply(additive_identity,X0))
| ~ product(multiplicative_inverse(a),additive_identity,b)
| product(b,X0,X1) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_16839,plain,
( ~ product(multiplicative_inverse(a),multiply(additive_identity,additive_identity),additive_identity)
| ~ product(additive_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ product(multiplicative_inverse(a),additive_identity,b)
| product(b,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_16838]) ).
cnf(c_18721,plain,
( ~ product(multiplicative_identity,multiply(additive_identity,X0),multiply(additive_identity,X0))
| product(multiply(additive_identity,X0),multiplicative_identity,multiply(additive_identity,X0)) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_18722,plain,
( ~ product(multiplicative_identity,multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))
| product(multiply(additive_identity,additive_identity),multiplicative_identity,multiply(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_18721]) ).
cnf(c_30993,plain,
( ~ sum(X0,X1,multiply(X2,b))
| ~ sum(X3,X1,X4)
| ~ product(X0,multiplicative_identity,X3)
| ~ product(X1,multiplicative_identity,X1)
| product(multiply(X2,b),multiplicative_identity,X4) ),
inference(instantiation,[status(thm)],[c_648]) ).
cnf(c_30994,plain,
( ~ sum(additive_identity,additive_identity,multiply(additive_identity,b))
| ~ sum(additive_identity,additive_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,additive_identity)
| product(multiply(additive_identity,b),multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_30993]) ).
cnf(c_41783,plain,
( ~ defined(X1)
| ~ product(X0,b,X2)
| ~ sum(X0,X1,a)
| sum(X2,multiply(X1,b),additive_identity) ),
inference(global_subsumption_just,[status(thm)],[c_2749,c_50,c_2749]) ).
cnf(c_41784,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ defined(X1)
| sum(X2,multiply(X1,b),additive_identity) ),
inference(renaming,[status(thm)],[c_41783]) ).
cnf(c_41907,plain,
( ~ sum(a,X0,a)
| ~ defined(X0)
| sum(additive_identity,multiply(X0,b),additive_identity) ),
inference(resolution,[status(thm)],[c_41784,c_53]) ).
cnf(c_42086,plain,
( ~ defined(multiply(X0,b))
| ~ sum(a,X0,a)
| ~ defined(X0)
| sum(additive_identity,additive_identity,multiply(X0,b)) ),
inference(resolution,[status(thm)],[c_41907,c_3447]) ).
cnf(c_42091,plain,
( ~ defined(multiply(additive_identity,b))
| ~ sum(a,additive_identity,a)
| ~ defined(additive_identity)
| sum(additive_identity,additive_identity,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_42086]) ).
cnf(c_42092,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42091,c_30994,c_18722,c_16839,c_14490,c_6227,c_5663,c_4121,c_4029,c_3660,c_3502,c_2916,c_1809,c_1713,c_1344,c_1255,c_1103,c_755,c_649,c_612,c_608,c_584,c_237,c_158,c_99,c_97,c_93,c_92,c_88,c_84,c_82,c_81,c_51,c_52,c_53,c_49,c_50,c_67,c_70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD041-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n018.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Aug 28 00:43:31 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 21.21/3.68 % SZS status Started for theBenchmark.p
% 21.21/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 21.21/3.68
% 21.21/3.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 21.21/3.68
% 21.21/3.68 ------ iProver source info
% 21.21/3.68
% 21.21/3.68 git: date: 2023-05-31 18:12:56 +0000
% 21.21/3.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 21.21/3.68 git: non_committed_changes: false
% 21.21/3.68 git: last_make_outside_of_git: false
% 21.21/3.68
% 21.21/3.68 ------ Parsing...successful
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 21.21/3.68
% 21.21/3.68 ------ Preprocessing...
% 21.21/3.68 ------ Proving...
% 21.21/3.68 ------ Problem Properties
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68 clauses 31
% 21.21/3.68 conjectures 4
% 21.21/3.68 EPR 23
% 21.21/3.68 Horn 28
% 21.21/3.68 unary 8
% 21.21/3.68 binary 6
% 21.21/3.68 lits 82
% 21.21/3.68 lits eq 0
% 21.21/3.68 fd_pure 0
% 21.21/3.68 fd_pseudo 0
% 21.21/3.68 fd_cond 0
% 21.21/3.68 fd_pseudo_cond 0
% 21.21/3.68 AC symbols 0
% 21.21/3.68
% 21.21/3.68 ------ Input Options Time Limit: Unbounded
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68 ------
% 21.21/3.68 Current options:
% 21.21/3.68 ------
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68 ------ Proving...
% 21.21/3.68
% 21.21/3.68
% 21.21/3.68 % SZS status Unsatisfiable for theBenchmark.p
% 21.21/3.68
% 21.21/3.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.21/3.68
% 21.21/3.68
%------------------------------------------------------------------------------