TSTP Solution File: FLD041-4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Fri May 3 02:15:19 EDT 2024
% Result : Unsatisfiable 261.18s 34.26s
% Output : CNFRefutation 261.18s
% 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_303,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_390,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_399,plain,
( ~ defined(multiply(X0,X1))
| product(multiplicative_identity,multiply(X0,X1),multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_599,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_941,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_942,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_990,plain,
( ~ sum(additive_identity,a,a)
| sum(a,additive_identity,a) ),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_1007,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_1110,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_1356,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(c)
| less_or_equal(c,additive_identity) ),
inference(resolution,[status(thm)],[c_941,c_58]) ).
cnf(c_1446,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_303]) ).
cnf(c_1448,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_303]) ).
cnf(c_1449,plain,
( ~ product(X0,b,multiply(X0,b))
| product(b,X0,multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_1450,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_1448]) ).
cnf(c_1451,plain,
( ~ product(additive_identity,b,multiply(additive_identity,b))
| product(b,additive_identity,multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_1449]) ).
cnf(c_2252,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_2528,plain,
( ~ less_or_equal(additive_identity,additive_identity)
| ~ defined(c)
| less_or_equal(additive_identity,c) ),
inference(resolution,[status(thm)],[c_942,c_55]) ).
cnf(c_2757,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ defined(X1)
| ~ defined(b)
| sum(X2,multiply(X1,b),c) ),
inference(resolution,[status(thm)],[c_2252,c_75]) ).
cnf(c_3543,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_390]) ).
cnf(c_3544,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_3543]) ).
cnf(c_3614,plain,
( ~ sum(c,X0,X1)
| ~ defined(X0)
| sum(additive_identity,X1,X0) ),
inference(resolution,[status(thm)],[c_1007,c_55]) ).
cnf(c_4072,plain,
( ~ sum(c,X0,X1)
| ~ defined(X0)
| sum(X1,additive_identity,X0) ),
inference(resolution,[status(thm)],[c_3614,c_60]) ).
cnf(c_4540,plain,
( ~ product(multiplicative_inverse(b),c,a)
| product(c,multiplicative_inverse(b),a) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_5901,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_5902,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_5901]) ).
cnf(c_7222,plain,
( ~ defined(X0)
| ~ defined(multiplicative_identity)
| product(multiplicative_identity,X0,multiply(multiplicative_identity,X0)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_7223,plain,
( ~ defined(additive_identity)
| ~ defined(multiplicative_identity)
| product(multiplicative_identity,additive_identity,multiply(multiplicative_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[c_7222]) ).
cnf(c_7515,plain,
( ~ product(multiplicative_inverse(b),X0,X1)
| product(X0,multiplicative_inverse(b),X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_7516,plain,
( ~ product(multiplicative_inverse(b),additive_identity,additive_identity)
| product(additive_identity,multiplicative_inverse(b),additive_identity) ),
inference(instantiation,[status(thm)],[c_7515]) ).
cnf(c_8166,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_1110,c_599]) ).
cnf(c_10563,plain,
( ~ defined(X0)
| ~ defined(b)
| defined(multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_10564,plain,
( ~ defined(b)
| ~ defined(additive_identity)
| defined(multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_10563]) ).
cnf(c_13764,plain,
( ~ defined(multiply(X0,b))
| product(multiplicative_identity,multiply(X0,b),multiply(X0,b)) ),
inference(instantiation,[status(thm)],[c_399]) ).
cnf(c_13765,plain,
( ~ defined(multiply(additive_identity,b))
| product(multiplicative_identity,multiply(additive_identity,b),multiply(additive_identity,b)) ),
inference(instantiation,[status(thm)],[c_13764]) ).
cnf(c_15296,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_15297,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_15296]) ).
cnf(c_18244,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_18245,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_18244]) ).
cnf(c_22883,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_22884,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_22883]) ).
cnf(c_85446,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_121077,plain,
( ~ defined(X1)
| ~ product(X0,b,X2)
| ~ sum(X0,X1,a)
| sum(X2,multiply(X1,b),c) ),
inference(global_subsumption_just,[status(thm)],[c_2757,c_50,c_2757]) ).
cnf(c_121078,plain,
( ~ sum(X0,X1,a)
| ~ product(X0,b,X2)
| ~ defined(X1)
| sum(X2,multiply(X1,b),c) ),
inference(renaming,[status(thm)],[c_121077]) ).
cnf(c_137988,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_85446]) ).
cnf(c_137989,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_137988]) ).
cnf(c_310166,plain,
( ~ sum(a,X0,a)
| ~ defined(X0)
| sum(c,multiply(X0,b),c) ),
inference(resolution,[status(thm)],[c_121078,c_54]) ).
cnf(c_310740,plain,
( ~ defined(multiply(X0,b))
| ~ sum(a,X0,a)
| ~ defined(X0)
| sum(c,additive_identity,multiply(X0,b)) ),
inference(resolution,[status(thm)],[c_310166,c_4072]) ).
cnf(c_428220,plain,
( ~ sum(a,X0,a)
| ~ defined(X0)
| sum(c,additive_identity,multiply(X0,b)) ),
inference(global_subsumption_just,[status(thm)],[c_310740,c_50,c_10563,c_310740]) ).
cnf(c_428258,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_428220,c_8166]) ).
cnf(c_428267,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_428258]) ).
cnf(c_428268,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_428267,c_137989,c_22884,c_18245,c_15297,c_13765,c_10564,c_7516,c_7223,c_5902,c_4540,c_3544,c_2528,c_1451,c_1450,c_1446,c_1356,c_990,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
% 0.11/0.12 % Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n014.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 : 300
% 0.13/0.34 % DateTime : Thu May 2 22:27:17 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 261.18/34.26 % SZS status Started for theBenchmark.p
% 261.18/34.26 % SZS status Unsatisfiable for theBenchmark.p
% 261.18/34.26
% 261.18/34.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 261.18/34.26
% 261.18/34.26 ------ iProver source info
% 261.18/34.26
% 261.18/34.26 git: date: 2024-05-02 19:28:25 +0000
% 261.18/34.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 261.18/34.26 git: non_committed_changes: false
% 261.18/34.26
% 261.18/34.26 ------ Parsing...successful
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 261.18/34.26
% 261.18/34.26 ------ Preprocessing...
% 261.18/34.26 ------ Proving...
% 261.18/34.26 ------ Problem Properties
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26 clauses 33
% 261.18/34.26 conjectures 4
% 261.18/34.26 EPR 25
% 261.18/34.26 Horn 30
% 261.18/34.26 unary 10
% 261.18/34.26 binary 6
% 261.18/34.26 lits 84
% 261.18/34.26 lits eq 0
% 261.18/34.26 fd_pure 0
% 261.18/34.26 fd_pseudo 0
% 261.18/34.26 fd_cond 0
% 261.18/34.26 fd_pseudo_cond 0
% 261.18/34.26 AC symbols 0
% 261.18/34.26
% 261.18/34.26 ------ Input Options Time Limit: Unbounded
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26 ------
% 261.18/34.26 Current options:
% 261.18/34.26 ------
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26 ------ Proving...
% 261.18/34.26
% 261.18/34.26
% 261.18/34.26 % SZS status Unsatisfiable for theBenchmark.p
% 261.18/34.26
% 261.18/34.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 261.18/34.26
% 261.18/34.27
%------------------------------------------------------------------------------