%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD052-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:22:52 PM UTC 2026
% Result : Unsatisfiable 56.94s 8.78s
% Output : CNFRefutation 56.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 38
% Syntax : Number of clauses : 193 ( 87 unt; 11 nHn; 193 RR)
% Number of literals : 417 ( 0 equ; 222 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 292 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_multiplication_1,axiom,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(existence_of_inverse_multiplication,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(commutativity_multiplication,axiom,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(totality_of_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(not_sum_14,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_14) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(product_21,negated_conjecture,
product(b,d,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_21) ).
cnf(product_16,negated_conjecture,
product(c,multiplicative_inverse(d),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_16) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).
cnf(product_19,negated_conjecture,
product(b,c,q),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_19) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(product_18,negated_conjecture,
product(a,d,p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_18) ).
cnf(not_sum_13,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_13) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
cnf(product_15,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_15) ).
cnf(associativity_multiplication_2,axiom,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(distributivity_2,axiom,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(totality_of_order_relation,axiom,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(sum_20,negated_conjecture,
sum(p,q,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_20) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(existence_of_identity_addition,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(distributivity_1,axiom,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(t_is_defined,hypothesis,
defined(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_defined) ).
cnf(p_is_defined,hypothesis,
defined(p),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_is_defined) ).
cnf(sum_17,negated_conjecture,
sum(s,t,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_17) ).
cnf(commutativity_addition,axiom,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(antisymmetry_of_order_relation,axiom,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(associativity_addition_1,axiom,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
cnf(l_is_defined,hypothesis,
defined(l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_is_defined) ).
cnf(not_product_22,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_22) ).
cnf(well_definedness_of_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
cnf(existence_of_inverse_addition,axiom,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(k_is_defined,hypothesis,
defined(k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_is_defined) ).
cnf(well_definedness_of_additive_inverse,axiom,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(c_0_38,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[associativity_multiplication_1]) ).
cnf(c_0_39,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_40,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
c_0_38 ).
cnf(c_0_41,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
c_0_39 ).
cnf(c_0_42,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_multiplication]) ).
cnf(c_0_43,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_44,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[totality_of_multiplication]) ).
cnf(c_0_45,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
inference(fof_simplification,[status(thm)],[not_sum_14]) ).
cnf(c_0_46,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_multiplicative_inverse]) ).
cnf(c_0_47,plain,
( ~ defined(X3)
| ~ product(X4,X3,X2)
| ~ product(X1,X4,multiplicative_identity)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
c_0_42 ).
cnf(c_0_49,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
c_0_43 ).
cnf(c_0_50,negated_conjecture,
product(b,d,l),
product_21 ).
cnf(c_0_51,negated_conjecture,
product(c,multiplicative_inverse(d),t),
product_16 ).
cnf(c_0_52,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
c_0_44 ).
cnf(c_0_53,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
c_0_45 ).
cnf(c_0_54,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
c_0_46 ).
cnf(c_0_55,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_56,negated_conjecture,
product(b,c,q),
product_19 ).
cnf(c_0_57,plain,
( ~ defined(X1)
| ~ defined(X3)
| ~ product(X1,X3,X2)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
product(d,b,l),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_60,negated_conjecture,
product(a,d,p),
product_18 ).
cnf(c_0_61,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(fof_simplification,[status(thm)],[not_sum_13]) ).
cnf(c_0_62,negated_conjecture,
( ~ product(X1,X3,c)
| ~ product(X3,multiplicative_inverse(d),X2)
| product(X1,X2,t) ),
inference(spm,[status(thm)],[c_0_40,c_0_51]) ).
cnf(c_0_63,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_64,plain,
( ~ defined(X3)
| ~ defined(X4)
| ~ product(X1,X5,X3)
| ~ product(X5,X4,X2)
| product(X1,X2,multiply(X3,X4)) ),
inference(spm,[status(thm)],[c_0_40,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
defined(multiplicative_inverse(d)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_66,negated_conjecture,
( ~ product(X1,X3,b)
| ~ product(X3,c,X2)
| product(X1,X2,q) ),
inference(spm,[status(thm)],[c_0_40,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
product(multiplicative_inverse(d),c,t),
inference(spm,[status(thm)],[c_0_49,c_0_51]) ).
cnf(c_0_68,negated_conjecture,
product(multiplicative_inverse(d),l,b),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_55])]),c_0_53]) ).
cnf(c_0_69,negated_conjecture,
product(d,a,p),
inference(spm,[status(thm)],[c_0_49,c_0_60]) ).
cnf(c_0_70,negated_conjecture,
product(a,multiplicative_inverse(b),s),
product_15 ).
cnf(c_0_71,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
c_0_61 ).
cnf(c_0_72,negated_conjecture,
( ~ product(c,multiplicative_inverse(d),X1)
| product(multiplicative_identity,X1,t) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_41]),c_0_63])]) ).
cnf(c_0_73,plain,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[associativity_multiplication_2]) ).
cnf(c_0_74,negated_conjecture,
( ~ defined(X2)
| ~ product(X1,c,X2)
| product(X1,t,multiply(X2,multiplicative_inverse(d))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_51]),c_0_65])]) ).
cnf(c_0_75,plain,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[distributivity_2]) ).
cnf(c_0_76,negated_conjecture,
( ~ product(X1,multiplicative_inverse(d),b)
| product(X1,t,q) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
product(l,multiplicative_inverse(d),b),
inference(spm,[status(thm)],[c_0_49,c_0_68]) ).
cnf(c_0_78,negated_conjecture,
( ~ product(X1,X3,d)
| ~ product(X3,a,X2)
| product(X1,X2,p) ),
inference(spm,[status(thm)],[c_0_40,c_0_69]) ).
cnf(c_0_79,negated_conjecture,
product(multiplicative_inverse(b),a,s),
inference(spm,[status(thm)],[c_0_49,c_0_70]) ).
cnf(c_0_80,negated_conjecture,
product(multiplicative_inverse(b),l,d),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_55]),c_0_59])]),c_0_71]) ).
cnf(c_0_81,negated_conjecture,
product(multiplicative_identity,multiply(c,multiplicative_inverse(d)),t),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_52]),c_0_65]),c_0_63])]) ).
cnf(c_0_82,plain,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_73 ).
cnf(c_0_83,plain,
( ~ defined(X1)
| product(X1,multiplicative_identity,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
cnf(c_0_84,negated_conjecture,
product(multiplicative_identity,t,multiply(c,multiplicative_inverse(d))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_41]),c_0_63])]) ).
cnf(c_0_85,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[compatibility_of_order_relation_and_addition]) ).
cnf(c_0_86,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[totality_of_order_relation]) ).
cnf(c_0_87,plain,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_75 ).
cnf(c_0_88,negated_conjecture,
sum(p,q,k),
sum_20 ).
cnf(c_0_89,negated_conjecture,
product(l,t,q),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_90,negated_conjecture,
( ~ product(X1,multiplicative_inverse(b),d)
| product(X1,s,p) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_91,negated_conjecture,
product(l,multiplicative_inverse(b),d),
inference(spm,[status(thm)],[c_0_49,c_0_80]) ).
cnf(c_0_92,negated_conjecture,
product(multiply(c,multiplicative_inverse(d)),multiplicative_identity,t),
inference(spm,[status(thm)],[c_0_49,c_0_81]) ).
cnf(c_0_93,plain,
( ~ defined(X4)
| ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| product(X1,multiplicative_identity,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
product(t,multiplicative_identity,multiply(c,multiplicative_inverse(d))),
inference(spm,[status(thm)],[c_0_49,c_0_84]) ).
cnf(c_0_95,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_96,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
c_0_85 ).
cnf(c_0_97,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
c_0_86 ).
cnf(c_0_98,negated_conjecture,
( ~ sum(X4,X3,X1)
| ~ product(X4,X2,p)
| ~ product(X3,X2,q)
| product(X1,X2,k) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
product(t,l,q),
inference(spm,[status(thm)],[c_0_49,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
product(l,s,p),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_101,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_102,plain,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[distributivity_1]) ).
cnf(c_0_103,negated_conjecture,
( ~ product(X3,multiplicative_identity,X2)
| ~ product(X1,X3,multiply(c,multiplicative_inverse(d)))
| product(X1,X2,t) ),
inference(spm,[status(thm)],[c_0_40,c_0_92]) ).
cnf(c_0_104,negated_conjecture,
( ~ product(t,multiplicative_identity,X1)
| product(X1,multiplicative_identity,multiply(c,multiplicative_inverse(d))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_105,hypothesis,
defined(t),
t_is_defined ).
cnf(c_0_106,negated_conjecture,
( ~ sum(X2,q,X1)
| ~ less_or_equal(X2,p)
| less_or_equal(X1,k) ),
inference(spm,[status(thm)],[c_0_96,c_0_88]) ).
cnf(c_0_107,plain,
( ~ defined(X1)
| less_or_equal(X1,X1) ),
inference(ef,[status(thm)],[c_0_97]) ).
cnf(c_0_108,hypothesis,
defined(p),
p_is_defined ).
cnf(c_0_109,negated_conjecture,
( ~ sum(X2,t,X1)
| ~ product(X2,l,p)
| product(X1,l,k) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_110,negated_conjecture,
sum(s,t,u),
sum_17 ).
cnf(c_0_111,negated_conjecture,
product(s,l,p),
inference(spm,[status(thm)],[c_0_49,c_0_100]) ).
cnf(c_0_112,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
c_0_101 ).
cnf(c_0_113,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_114,plain,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
c_0_102 ).
cnf(c_0_115,negated_conjecture,
( ~ defined(X2)
| ~ product(X1,X2,multiply(c,multiplicative_inverse(d)))
| product(X1,X2,t) ),
inference(spm,[status(thm)],[c_0_103,c_0_83]) ).
cnf(c_0_116,negated_conjecture,
product(multiply(t,multiplicative_identity),multiplicative_identity,multiply(c,multiplicative_inverse(d))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_52]),c_0_95]),c_0_105])]) ).
cnf(c_0_117,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
inference(fof_simplification,[status(thm)],[antisymmetry_of_order_relation]) ).
cnf(c_0_118,negated_conjecture,
( ~ sum(p,q,X1)
| less_or_equal(X1,k) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).
cnf(c_0_119,negated_conjecture,
product(u,l,k),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_120,plain,
( ~ sum(X3,X2,X1)
| ~ defined(X2)
| ~ less_or_equal(X3,additive_identity)
| less_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_112]) ).
cnf(c_0_121,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_122,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
c_0_113 ).
cnf(c_0_123,plain,
( ~ sum(X5,X4,X3)
| ~ defined(X3)
| ~ product(X5,multiplicative_identity,X1)
| ~ product(X4,multiplicative_identity,X2)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_83]) ).
cnf(c_0_124,negated_conjecture,
product(multiply(t,multiplicative_identity),multiplicative_identity,t),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_95])]) ).
cnf(c_0_125,negated_conjecture,
( ~ product(X1,X3,b)
| ~ product(X3,d,X2)
| product(X1,X2,l) ),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
cnf(c_0_126,plain,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[associativity_addition_1]) ).
cnf(c_0_127,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
c_0_117 ).
cnf(c_0_128,negated_conjecture,
less_or_equal(k,k),
inference(spm,[status(thm)],[c_0_118,c_0_88]) ).
cnf(c_0_129,negated_conjecture,
product(l,u,k),
inference(spm,[status(thm)],[c_0_49,c_0_119]) ).
cnf(c_0_130,hypothesis,
defined(u),
u_is_defined ).
cnf(c_0_131,hypothesis,
defined(l),
l_is_defined ).
cnf(c_0_132,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
inference(fof_simplification,[status(thm)],[not_product_22]) ).
cnf(c_0_133,plain,
( ~ sum(additive_identity,X2,X1)
| ~ defined(X2)
| less_or_equal(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_107]),c_0_121])]) ).
cnf(c_0_134,plain,
( ~ defined(X1)
| sum(X1,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_112]) ).
cnf(c_0_135,negated_conjecture,
( ~ sum(X3,multiply(t,multiplicative_identity),X2)
| ~ defined(X2)
| ~ product(X3,multiplicative_identity,X1)
| sum(X1,t,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_136,negated_conjecture,
( ~ product(X1,b,b)
| product(X1,l,l) ),
inference(spm,[status(thm)],[c_0_125,c_0_50]) ).
cnf(c_0_137,plain,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
c_0_126 ).
cnf(c_0_138,negated_conjecture,
sum(additive_identity,k,k),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_128])]) ).
cnf(c_0_139,negated_conjecture,
( sum(additive_identity,l,additive_identity)
| product(multiplicative_inverse(l),k,u) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_129]),c_0_130]),c_0_131])]) ).
cnf(c_0_140,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
c_0_132 ).
cnf(c_0_141,plain,
less_or_equal(additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_121])]) ).
cnf(c_0_142,negated_conjecture,
( ~ sum(X1,multiply(t,multiplicative_identity),X2)
| ~ defined(X1)
| ~ defined(X2)
| sum(X1,t,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_83]) ).
cnf(c_0_143,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_multiplication]) ).
cnf(c_0_144,negated_conjecture,
product(multiplicative_identity,l,l),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_41]),c_0_59])]) ).
cnf(c_0_145,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).
cnf(c_0_146,negated_conjecture,
( ~ sum(X1,X3,additive_identity)
| ~ sum(X3,k,X2)
| sum(X1,X2,k) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_147,hypothesis,
defined(k),
k_is_defined ).
cnf(c_0_148,negated_conjecture,
sum(additive_identity,l,additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_139]),c_0_140]) ).
cnf(c_0_149,plain,
( ~ sum(X4,X3,X2)
| ~ sum(X1,X4,additive_identity)
| ~ defined(X3)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_137,c_0_112]) ).
cnf(c_0_150,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_141]),c_0_141])]) ).
cnf(c_0_151,negated_conjecture,
( ~ defined(multiply(t,multiplicative_identity))
| sum(additive_identity,t,multiply(t,multiplicative_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_112]),c_0_121])]) ).
cnf(c_0_152,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
c_0_143 ).
cnf(c_0_153,negated_conjecture,
( ~ product(X3,multiplicative_identity,X1)
| ~ product(X3,l,X2)
| product(X1,l,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_144]) ).
cnf(c_0_154,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
c_0_145 ).
cnf(c_0_155,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_additive_inverse]) ).
cnf(c_0_156,negated_conjecture,
( ~ sum(X1,additive_identity,additive_identity)
| sum(X1,k,k) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_112]),c_0_147])]) ).
cnf(c_0_157,negated_conjecture,
sum(l,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_122,c_0_148]) ).
cnf(c_0_158,plain,
( ~ sum(additive_identity,X2,X1)
| ~ defined(X2)
| sum(additive_identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_159,negated_conjecture,
sum(additive_identity,t,multiply(t,multiplicative_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_95]),c_0_105])]) ).
cnf(c_0_160,negated_conjecture,
( ~ product(multiplicative_inverse(d),multiplicative_identity,X1)
| product(X1,l,b) ),
inference(spm,[status(thm)],[c_0_153,c_0_68]) ).
cnf(c_0_161,plain,
( ~ sum(X3,X5,X1)
| ~ defined(X4)
| ~ product(X5,X2,X4)
| ~ product(X3,X2,additive_inverse(X4))
| product(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_87,c_0_154]) ).
cnf(c_0_162,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
c_0_155 ).
cnf(c_0_163,negated_conjecture,
( ~ product(u,l,X1)
| product(X1,multiplicative_identity,k) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_119]),c_0_131])]) ).
cnf(c_0_164,negated_conjecture,
sum(l,k,k),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_165,plain,
( ~ sum(X4,X3,X2)
| ~ sum(X1,X4,additive_inverse(X3))
| ~ defined(X3)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_137,c_0_154]) ).
cnf(c_0_166,negated_conjecture,
sum(additive_identity,multiply(t,multiplicative_identity),t),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_105])]) ).
cnf(c_0_167,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X2,X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]) ).
cnf(c_0_168,negated_conjecture,
product(multiply(multiplicative_inverse(d),multiplicative_identity),l,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_52]),c_0_95]),c_0_65])]) ).
cnf(c_0_169,plain,
( ~ sum(additive_inverse(X3),X2,X1)
| ~ defined(X3)
| ~ product(X2,multiplicative_identity,X3)
| product(X1,multiplicative_identity,additive_identity) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_83]),c_0_162]) ).
cnf(c_0_170,negated_conjecture,
product(k,multiplicative_identity,k),
inference(spm,[status(thm)],[c_0_163,c_0_119]) ).
cnf(c_0_171,plain,
( ~ sum(X1,X3,X2)
| ~ defined(X1)
| ~ defined(X3)
| sum(additive_inverse(X1),X2,X3) ),
inference(spm,[status(thm)],[c_0_149,c_0_154]) ).
cnf(c_0_172,negated_conjecture,
sum(k,l,k),
inference(spm,[status(thm)],[c_0_122,c_0_164]) ).
cnf(c_0_173,plain,
( ~ sum(additive_identity,X1,X2)
| ~ defined(X1)
| sum(additive_inverse(X1),X2,additive_identity) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_134]),c_0_162]) ).
cnf(c_0_174,negated_conjecture,
sum(additive_identity,t,t),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_166]),c_0_105]),c_0_121])]) ).
cnf(c_0_175,negated_conjecture,
( ~ sum(X4,X3,c)
| ~ product(X4,multiplicative_inverse(d),X1)
| ~ product(X3,multiplicative_inverse(d),X2)
| sum(X1,X2,t) ),
inference(spm,[status(thm)],[c_0_114,c_0_51]) ).
cnf(c_0_176,plain,
( ~ defined(X2)
| ~ defined(X5)
| ~ product(X4,X5,X1)
| ~ product(X4,multiply(X2,X5),X3)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_167]) ).
cnf(c_0_177,negated_conjecture,
product(l,multiply(multiplicative_inverse(d),multiplicative_identity),b),
inference(spm,[status(thm)],[c_0_49,c_0_168]) ).
cnf(c_0_178,negated_conjecture,
( ~ sum(additive_inverse(k),k,X1)
| product(X1,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_147])]) ).
cnf(c_0_179,negated_conjecture,
sum(additive_inverse(k),k,l),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_131]),c_0_147])]) ).
cnf(c_0_180,plain,
( ~ defined(X1)
| sum(X1,additive_inverse(X1),additive_identity) ),
inference(spm,[status(thm)],[c_0_122,c_0_154]) ).
cnf(c_0_181,negated_conjecture,
sum(additive_inverse(t),t,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_105])]) ).
cnf(c_0_182,negated_conjecture,
( ~ product(additive_identity,multiplicative_inverse(d),X1)
| ~ product(c,multiplicative_inverse(d),X2)
| sum(X1,X2,t) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_112]),c_0_63])]) ).
cnf(c_0_183,negated_conjecture,
( ~ product(l,multiplicative_identity,X1)
| product(X1,multiplicative_inverse(d),b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_95]),c_0_65])]) ).
cnf(c_0_184,negated_conjecture,
product(l,multiplicative_identity,additive_identity),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_185,plain,
( ~ sum(X1,X4,X3)
| ~ sum(X4,additive_inverse(X3),X2)
| ~ defined(X3)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_137,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
sum(t,additive_inverse(t),additive_identity),
inference(spm,[status(thm)],[c_0_122,c_0_181]) ).
cnf(c_0_187,negated_conjecture,
( ~ product(additive_identity,multiplicative_inverse(d),X1)
| sum(X1,t,t) ),
inference(spm,[status(thm)],[c_0_182,c_0_51]) ).
cnf(c_0_188,negated_conjecture,
product(additive_identity,multiplicative_inverse(d),b),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_189,negated_conjecture,
( ~ sum(X1,t,t)
| sum(X1,additive_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_105])]) ).
cnf(c_0_190,negated_conjecture,
sum(b,t,t),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_191,negated_conjecture,
sum(b,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_192,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_191]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD052-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n005.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 15:43:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.94/8.78 % Version: 3.5.1
% 56.94/8.78 % Preprocessing class: FSMSSMSMSSSNFFN.
% 56.94/8.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.94/8.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 56.94/8.78 % Starting new_bool_3 with 300s (1) cores
% 56.94/8.78 % Starting new_bool_1 with 300s (1) cores
% 56.94/8.78 % Starting sh5l with 300s (1) cores
% 56.94/8.78 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3855036 completed with status 0
% 56.94/8.78 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 56.94/8.78 % Preprocessing class: FSMSSMSMSSSNFFN.
% 56.94/8.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.94/8.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 56.94/8.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 56.94/8.78 % No SInE strategy applied
% 56.94/8.78 % Search class: FGUNF-FFMM21-SFFFFFNN
% 56.94/8.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 56.94/8.78 % Starting SubtermCWHack with 136s (1) cores
% 56.94/8.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 56.94/8.78 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 56.94/8.78 % Starting new_bool_3 with 269s (1) cores
% 56.94/8.78 % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 56.94/8.78 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3855041 completed with status 0
% 56.94/8.78 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 56.94/8.78 % Preprocessing class: FSMSSMSMSSSNFFN.
% 56.94/8.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 56.94/8.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 56.94/8.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 56.94/8.78 % No SInE strategy applied
% 56.94/8.78 % Search class: FGUNF-FFMM21-SFFFFFNN
% 56.94/8.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 56.94/8.78 % Starting SubtermCWHack with 136s (1) cores
% 56.94/8.78 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 56.94/8.78 % Preprocessing time : 0.002 s
% 56.94/8.78 % Presaturation interreduction done
% 56.94/8.78
% 56.94/8.78 % Proof found!
% 56.94/8.78 % SZS status Unsatisfiable
% 56.94/8.78 % SZS output start CNFRefutation
% See solution above
% 56.94/8.79 % Parsed axioms : 48
% 56.94/8.79 % Removed by relevancy pruning/SinE : 0
% 56.94/8.79 % Initial clauses : 48
% 56.94/8.79 % Removed in clause preprocessing : 0
% 56.94/8.79 % Initial clauses in saturation : 48
% 56.94/8.79 % Processed clauses : 18085
% 56.94/8.79 % ...of these trivial : 1367
% 56.94/8.79 % ...subsumed : 5997
% 56.94/8.79 % ...remaining for further processing : 10721
% 56.94/8.79 % Other redundant clauses eliminated : 0
% 56.94/8.79 % Clauses deleted for lack of memory : 0
% 56.94/8.79 % Backward-subsumed : 307
% 56.94/8.79 % Backward-rewritten : 497
% 56.94/8.79 % Generated clauses : 249539
% 56.94/8.79 % ...of the previous two non-redundant : 224088
% 56.94/8.79 % ...aggressively subsumed : 0
% 56.94/8.79 % Contextual simplify-reflections : 39
% 56.94/8.79 % Paramodulations : 249525
% 56.94/8.79 % Factorizations : 14
% 56.94/8.79 % NegExts : 0
% 56.94/8.79 % Equation resolutions : 0
% 56.94/8.79 % Disequality decompositions : 0
% 56.94/8.79 % Total rewrite steps : 150640
% 56.94/8.79 % ...of those cached : 148650
% 56.94/8.79 % Propositional unsat checks : 0
% 56.94/8.79 % Propositional check models : 0
% 56.94/8.79 % Propositional check unsatisfiable : 0
% 56.94/8.79 % Propositional clauses : 0
% 56.94/8.79 % Propositional clauses after purity: 0
% 56.94/8.79 % Propositional unsat core size : 0
% 56.94/8.79 % Propositional preprocessing time : 0.000
% 56.94/8.79 % Propositional encoding time : 0.000
% 56.94/8.79 % Propositional solver time : 0.000
% 56.94/8.79 % Success case prop preproc time : 0.000
% 56.94/8.79 % Success case prop encoding time : 0.000
% 56.94/8.79 % Success case prop solver time : 0.000
% 56.94/8.79 % Current number of processed clauses : 9869
% 56.94/8.79 % Positive orientable unit clauses : 2493
% 56.94/8.79 % Positive unorientable unit clauses: 0
% 56.94/8.79 % Negative unit clauses : 4
% 56.94/8.79 % Non-unit-clauses : 7372
% 56.94/8.79 % Current number of unprocessed clauses: 206088
% 56.94/8.79 % ...number of literals in the above : 630470
% 56.94/8.79 % Current number of archived formulas : 0
% 56.94/8.79 % Current number of archived clauses : 852
% 56.94/8.79 % Clause-clause subsumption calls (NU) : 1775983
% 56.94/8.79 % Rec. Clause-clause subsumption calls : 1223649
% 56.94/8.79 % Non-unit clause-clause subsumptions : 6129
% 56.94/8.79 % Unit Clause-clause subsumption calls : 327444
% 56.94/8.79 % Rewrite failures with RHS unbound : 0
% 56.94/8.79 % BW rewrite match attempts : 5025
% 56.94/8.79 % BW rewrite match successes : 194
% 56.94/8.79 % Condensation attempts : 0
% 56.94/8.79 % Condensation successes : 0
% 56.94/8.79 % Termbank termtop insertions : 3960213
% 56.94/8.79 % Search garbage collected termcells : 120
% 56.94/8.79
% 56.94/8.79 % -------------------------------------------------
% 56.94/8.79 % User time : 7.804 s
% 56.94/8.79 % System time : 0.309 s
% 56.94/8.79 % Total time : 8.113 s
% 56.94/8.79 % Maximum resident set size: 3672 pages
% 56.94/8.79
% 56.94/8.79 % -------------------------------------------------
% 56.94/8.79 % User time : 38.903 s
% 56.94/8.79 % System time : 1.377 s
% 56.94/8.79 % Total time : 40.280 s
% 56.94/8.79 % Maximum resident set size: 4864 pages
% 56.94/8.79 % E exiting
%------------------------------------------------------------------------------