TSTP Solution File: FLD041-4 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 22:33:08 EDT 2023
% Result : Unsatisfiable 154.09s 21.31s
% Output : CNFRefutation 154.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of clauses : 94 ( 10 unt; 3 nHn; 94 RR)
% Number of literals : 292 ( 0 equ; 197 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 170 ( 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,plain,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
cnf(c_52,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
cnf(c_53,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).
cnf(c_54,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_6) ).
cnf(c_55,negated_conjecture,
sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
cnf(c_56,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_57,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
cnf(c_58,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(c_60,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(c_61,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_62,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_63,plain,
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(c_64,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_65,plain,
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(c_66,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_67,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_69,plain,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_71,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
cnf(c_72,plain,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(c_75,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_76,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| sum(additive_identity,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(c_78,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(c_79,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(c_83,plain,
( ~ defined(additive_identity)
| product(multiplicative_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_84,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_88,plain,
( ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_97,plain,
( ~ defined(b)
| product(multiplicative_inverse(b),b,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_101,plain,
( ~ product(a,b,c)
| product(b,a,c) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_102,plain,
( ~ product(multiplicative_identity,X0,X0)
| product(X0,multiplicative_identity,X0) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_103,plain,
( ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_104,plain,
( ~ product(X0,X1,multiply(X0,X1))
| product(X1,X0,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_118,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X0,multiplicative_identity)
| ~ product(multiplicative_identity,X1,X1)
| product(X3,X2,X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_119,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_61]) ).
cnf(c_174,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_175,plain,
( ~ sum(X0,X1,a)
| sum(X1,X0,a) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_200,plain,
( ~ sum(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X2,X3,X5)
| ~ product(X1,X3,a)
| sum(X4,a,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_224,plain,
( ~ defined(a)
| product(multiplicative_identity,a,a) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_239,plain,
( ~ defined(X0)
| ~ defined(b)
| product(X0,b,multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_240,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| product(additive_identity,b,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_250,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| ~ product(X1,multiplicative_identity,X1)
| product(X3,multiplicative_identity,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_254,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_67]) ).
cnf(c_333,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,X0,X1)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_inverse(b),X1,X0) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_409,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_119]) ).
cnf(c_426,plain,
( ~ defined(multiply(X0,X1))
| product(multiplicative_identity,multiply(X0,X1),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_542,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| sum(X0,additive_identity,X1) ),
inference(resolution,[status(thm)],[c_76,c_60]) ).
cnf(c_790,plain,
( ~ sum(X0,c,X1)
| ~ less_or_equal(X0,additive_identity)
| less_or_equal(X1,additive_identity) ),
inference(resolution,[status(thm)],[c_79,c_55]) ).
cnf(c_791,plain,
( ~ sum(X0,X1,X2)
| ~ less_or_equal(X0,additive_identity)
| ~ defined(X1)
| less_or_equal(X2,X1) ),
inference(resolution,[status(thm)],[c_79,c_58]) ).
cnf(c_875,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X0,additive_identity)
| ~ defined(X1)
| sum(X3,X2,X1) ),
inference(resolution,[status(thm)],[c_56,c_58]) ).
cnf(c_977,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,additive_identity,X3)
| ~ less_or_equal(X1,X4)
| ~ less_or_equal(X4,X1)
| sum(X3,X4,X2) ),
inference(resolution,[status(thm)],[c_57,c_76]) ).
cnf(c_1032,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_1234,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(c)
| less_or_equal(c,additive_identity) ),
inference(resolution,[status(thm)],[c_790,c_58]) ).
cnf(c_1644,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ product(X1,b,X3)
| sum(X2,X3,c) ),
inference(resolution,[status(thm)],[c_66,c_54]) ).
cnf(c_1773,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(c)
| less_or_equal(additive_identity,c) ),
inference(resolution,[status(thm)],[c_791,c_55]) ).
cnf(c_1809,plain,
( ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(b,a,c)
| ~ product(multiplicative_identity,a,a)
| product(multiplicative_inverse(b),c,a) ),
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_1811,plain,
( ~ product(b,X0,multiply(X0,b))
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_identity,X0,X0)
| product(multiplicative_inverse(b),multiply(X0,b),X0) ),
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_1812,plain,
( ~ product(X0,b,multiply(X0,b))
| product(b,X0,multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_1813,plain,
( ~ product(b,additive_identity,multiply(additive_identity,b))
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ product(multiplicative_identity,additive_identity,additive_identity)
| product(multiplicative_inverse(b),multiply(additive_identity,b),additive_identity) ),
inference(instantiation,[status(thm)],[c_1811]) ).
cnf(c_1814,plain,
( ~ product(additive_identity,b,multiply(additive_identity,b))
| product(b,additive_identity,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_1812]) ).
cnf(c_2498,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ defined(X1)
| ~ defined(b)
| sum(X2,multiply(X1,b),c) ),
inference(resolution,[status(thm)],[c_1644,c_75]) ).
cnf(c_2701,plain,
( ~ sum(c,X0,X1)
| ~ defined(X0)
| sum(additive_identity,X1,X0) ),
inference(resolution,[status(thm)],[c_875,c_55]) ).
cnf(c_2772,plain,
( ~ sum(c,X0,X1)
| ~ defined(X0)
| sum(X1,additive_identity,X0) ),
inference(resolution,[status(thm)],[c_2701,c_60]) ).
cnf(c_4365,plain,
( ~ product(b,X0,multiply(X0,b))
| ~ product(multiplicative_identity,X0,multiply(multiplicative_identity,X0))
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(multiplicative_inverse(b),multiply(X0,b),multiply(multiplicative_identity,X0)) ),
inference(instantiation,[status(thm)],[c_409]) ).
cnf(c_4366,plain,
( ~ product(b,additive_identity,multiply(additive_identity,b))
| ~ product(multiplicative_identity,additive_identity,multiply(multiplicative_identity,additive_identity))
| ~ product(multiplicative_inverse(b),b,multiplicative_identity)
| product(multiplicative_inverse(b),multiply(additive_identity,b),multiply(multiplicative_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_4365]) ).
cnf(c_5171,plain,
( ~ sum(X0,X1,X2)
| ~ less_or_equal(X0,X3)
| ~ less_or_equal(X1,X4)
| ~ less_or_equal(X3,X0)
| ~ less_or_equal(X4,X1)
| sum(X3,X4,X2) ),
inference(resolution,[status(thm)],[c_977,c_542]) ).
cnf(c_5206,plain,
( ~ product(multiplicative_inverse(b),c,a)
| product(c,multiplicative_inverse(b),a) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_6496,plain,
( ~ product(multiplicative_inverse(b),multiply(X0,b),multiply(multiplicative_identity,X0))
| ~ product(multiply(X0,b),multiplicative_identity,multiply(X0,b))
| ~ product(multiplicative_inverse(b),multiply(X0,b),X1)
| product(multiply(multiplicative_identity,X0),multiplicative_identity,X1) ),
inference(instantiation,[status(thm)],[c_250]) ).
cnf(c_6497,plain,
( ~ product(multiplicative_inverse(b),multiply(additive_identity,b),multiply(multiplicative_identity,additive_identity))
| ~ product(multiply(additive_identity,b),multiplicative_identity,multiply(additive_identity,b))
| ~ product(multiplicative_inverse(b),multiply(additive_identity,b),additive_identity)
| product(multiply(multiplicative_identity,additive_identity),multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_6496]) ).
cnf(c_8087,plain,
( ~ defined(X0)
| ~ defined(multiplicative_identity)
| product(multiplicative_identity,X0,multiply(multiplicative_identity,X0)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_8088,plain,
( ~ defined(additive_identity)
| ~ defined(multiplicative_identity)
| product(multiplicative_identity,additive_identity,multiply(multiplicative_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_8087]) ).
cnf(c_8366,plain,
( ~ product(multiplicative_inverse(b),X0,X1)
| product(X0,multiplicative_inverse(b),X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_8367,plain,
( ~ product(multiplicative_inverse(b),additive_identity,additive_identity)
| product(additive_identity,multiplicative_inverse(b),additive_identity) ),
inference(instantiation,[status(thm)],[c_8366]) ).
cnf(c_11262,plain,
( ~ defined(X0)
| ~ defined(b)
| defined(multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_11263,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| defined(multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_11262]) ).
cnf(c_14457,plain,
( ~ defined(multiply(X0,b))
| product(multiplicative_identity,multiply(X0,b),multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_426]) ).
cnf(c_14458,plain,
( ~ defined(multiply(additive_identity,b))
| product(multiplicative_identity,multiply(additive_identity,b),multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_14457]) ).
cnf(c_15912,plain,
( ~ product(multiplicative_identity,multiply(X0,b),multiply(X0,b))
| product(multiply(X0,b),multiplicative_identity,multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_15913,plain,
( ~ product(multiplicative_identity,multiply(additive_identity,b),multiply(additive_identity,b))
| product(multiply(additive_identity,b),multiplicative_identity,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_15912]) ).
cnf(c_19392,plain,
( ~ product(X0,multiplicative_inverse(b),X1)
| ~ product(X2,multiplicative_inverse(b),X3)
| ~ product(c,multiplicative_inverse(b),a)
| ~ sum(X0,c,X2)
| sum(X1,a,X3) ),
inference(instantiation,[status(thm)],[c_200]) ).
cnf(c_19393,plain,
( ~ product(c,multiplicative_inverse(b),a)
| ~ product(additive_identity,multiplicative_inverse(b),additive_identity)
| ~ sum(additive_identity,c,additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[c_19392]) ).
cnf(c_23207,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_254]) ).
cnf(c_23208,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_23207]) ).
cnf(c_91795,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,multiplicative_identity,X3)
| ~ product(X2,multiplicative_identity,X4)
| product(X0,X3,X4) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_122672,plain,
( ~ defined(X1)
| ~ product(X0,b,X2)
| ~ sum(X0,X1,a)
| sum(X2,multiply(X1,b),c) ),
inference(global_subsumption_just,[status(thm)],[c_2498,c_50,c_2498]) ).
cnf(c_122673,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ defined(X1)
| sum(X2,multiply(X1,b),c) ),
inference(renaming,[status(thm)],[c_122672]) ).
cnf(c_124443,plain,
( ~ product(multiplicative_inverse(b),multiply(X0,b),multiply(multiplicative_identity,X0))
| ~ product(multiply(X0,b),multiplicative_identity,X1)
| ~ product(multiply(multiplicative_identity,X0),multiplicative_identity,X2)
| product(multiplicative_inverse(b),X1,X2) ),
inference(instantiation,[status(thm)],[c_91795]) ).
cnf(c_124444,plain,
( ~ product(multiplicative_inverse(b),multiply(additive_identity,b),multiply(multiplicative_identity,additive_identity))
| ~ product(multiply(additive_identity,b),multiplicative_identity,additive_identity)
| ~ product(multiply(multiplicative_identity,additive_identity),multiplicative_identity,additive_identity)
| product(multiplicative_inverse(b),additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[c_124443]) ).
cnf(c_296036,plain,
( ~ sum(a,X0,a)
| ~ defined(X0)
| sum(c,multiply(X0,b),c) ),
inference(resolution,[status(thm)],[c_122673,c_54]) ).
cnf(c_296553,plain,
( ~ defined(multiply(X0,b))
| ~ sum(a,X0,a)
| ~ defined(X0)
| sum(c,additive_identity,multiply(X0,b)) ),
inference(resolution,[status(thm)],[c_296036,c_2772]) ).
cnf(c_366693,plain,
( ~ sum(a,X0,a)
| ~ defined(X0)
| sum(c,additive_identity,multiply(X0,b)) ),
inference(global_subsumption_just,[status(thm)],[c_296553,c_50,c_11262,c_296553]) ).
cnf(c_387435,plain,
( ~ sum(a,X0,a)
| ~ less_or_equal(X1,c)
| ~ less_or_equal(X2,additive_identity)
| ~ less_or_equal(c,X1)
| ~ less_or_equal(additive_identity,X2)
| ~ defined(X0)
| sum(X1,X2,multiply(X0,b)) ),
inference(resolution,[status(thm)],[c_366693,c_5171]) ).
cnf(c_387444,plain,
( ~ sum(a,additive_identity,a)
| ~ less_or_equal(c,additive_identity)
| ~ less_or_equal(additive_identity,c)
| ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(additive_identity)
| sum(additive_identity,additive_identity,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_387435]) ).
cnf(c_387445,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_387444,c_124444,c_23208,c_19393,c_15913,c_14458,c_11263,c_8367,c_8088,c_6497,c_5206,c_4366,c_1814,c_1813,c_1809,c_1773,c_1234,c_1032,c_240,c_224,c_174,c_103,c_101,c_97,c_88,c_84,c_83,c_52,c_53,c_54,c_55,c_49,c_50,c_51,c_69,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 00:42:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 154.09/21.31 % SZS status Started for theBenchmark.p
% 154.09/21.31 % SZS status Unsatisfiable for theBenchmark.p
% 154.09/21.31
% 154.09/21.31 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 154.09/21.31
% 154.09/21.31 ------ iProver source info
% 154.09/21.31
% 154.09/21.31 git: date: 2023-05-31 18:12:56 +0000
% 154.09/21.31 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 154.09/21.31 git: non_committed_changes: false
% 154.09/21.31 git: last_make_outside_of_git: false
% 154.09/21.31
% 154.09/21.31 ------ Parsing...successful
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 154.09/21.31
% 154.09/21.31 ------ Preprocessing...
% 154.09/21.31 ------ Proving...
% 154.09/21.31 ------ Problem Properties
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31 clauses 33
% 154.09/21.31 conjectures 4
% 154.09/21.31 EPR 25
% 154.09/21.31 Horn 30
% 154.09/21.31 unary 10
% 154.09/21.31 binary 6
% 154.09/21.31 lits 84
% 154.09/21.31 lits eq 0
% 154.09/21.31 fd_pure 0
% 154.09/21.31 fd_pseudo 0
% 154.09/21.31 fd_cond 0
% 154.09/21.31 fd_pseudo_cond 0
% 154.09/21.31 AC symbols 0
% 154.09/21.31
% 154.09/21.31 ------ Input Options Time Limit: Unbounded
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31 ------
% 154.09/21.31 Current options:
% 154.09/21.31 ------
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31 ------ Proving...
% 154.09/21.31
% 154.09/21.31
% 154.09/21.31 % SZS status Unsatisfiable for theBenchmark.p
% 154.09/21.31
% 154.09/21.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 154.09/21.31
% 154.09/21.32
%------------------------------------------------------------------------------