TSTP Solution File: BOO014-10 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : BOO014-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:18:30 EDT 2023
% Result : Unsatisfiable 607.55s 77.21s
% Output : CNFRefutation 607.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 26
% Syntax : Number of clauses : 259 ( 259 unt; 0 nHn; 64 RR)
% Number of literals : 259 ( 258 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 465 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity5,axiom,
ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X6,X5),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity5) ).
cnf(additive_inverse2,axiom,
sum(X1,inverse(X1),multiplicative_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',additive_inverse2) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',ifeq_axiom_001) ).
cnf(closure_of_addition,axiom,
sum(X1,X2,add(X1,X2)) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',closure_of_addition) ).
cnf(addition_is_well_defined,axiom,
ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3) = X3,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',addition_is_well_defined) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X1,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',additive_identity1) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',ifeq_axiom) ).
cnf(commutativity_of_addition,axiom,
ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',commutativity_of_addition) ).
cnf(additive_inverse1,axiom,
sum(inverse(X1),X1,multiplicative_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',additive_inverse1) ).
cnf(additive_identity2,axiom,
sum(X1,additive_identity,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',additive_identity2) ).
cnf(multiplicative_inverse1,axiom,
product(inverse(X1),X1,additive_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',multiplicative_inverse1) ).
cnf(multiplication_is_well_defined,axiom,
ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',multiplication_is_well_defined) ).
cnf(multiplicative_identity1,axiom,
product(multiplicative_identity,X1,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',multiplicative_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X1,X2,multiply(X1,X2)) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',closure_of_multiplication) ).
cnf(commutativity_of_multiplication,axiom,
ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',commutativity_of_multiplication) ).
cnf(multiplicative_inverse2,axiom,
product(X1,inverse(X1),additive_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',multiplicative_inverse2) ).
cnf(x_plus_y,negated_conjecture,
sum(x,y,x_plus_y) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',x_plus_y) ).
cnf(distributivity6,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X7,X5,X2),true,ifeq(sum(X7,X4,X1),true,sum(X7,X6,X3),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity6) ).
cnf(distributivity7,axiom,
ifeq(product(X1,X2,X3),true,ifeq(sum(X3,X4,X5),true,ifeq(sum(X2,X4,X6),true,ifeq(sum(X1,X4,X7),true,product(X7,X6,X5),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity7) ).
cnf(multiplicative_identity2,axiom,
product(X1,multiplicative_identity,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',multiplicative_identity2) ).
cnf(distributivity3,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity3) ).
cnf(x_inverse_times_y_inverse,negated_conjecture,
product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',x_inverse_times_y_inverse) ).
cnf(distributivity1,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(product(X1,X6,X7),true,ifeq(sum(X6,X4,X2),true,sum(X7,X5,X3),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity1) ).
cnf(distributivity4,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X2,X6),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity4) ).
cnf(distributivity8,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X5,X7,X2),true,ifeq(sum(X4,X7,X1),true,sum(X6,X7,X3),true),true),true),true) = true,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',distributivity8) ).
cnf(prove_equation,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
file('/export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p',prove_equation) ).
cnf(c_0_26,axiom,
ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X6,X5),true),true),true),true) = true,
distributivity5 ).
cnf(c_0_27,axiom,
sum(X1,inverse(X1),multiplicative_identity) = true,
additive_inverse2 ).
cnf(c_0_28,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_29,plain,
ifeq(product(inverse(X1),X2,X3),true,ifeq(sum(X1,X3,X4),true,ifeq(sum(X1,X2,X5),true,product(multiplicative_identity,X5,X4),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_30,axiom,
sum(X1,X2,add(X1,X2)) = true,
closure_of_addition ).
cnf(c_0_31,axiom,
ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3) = X3,
addition_is_well_defined ).
cnf(c_0_32,axiom,
sum(additive_identity,X1,X1) = true,
additive_identity1 ).
cnf(c_0_33,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_34,axiom,
ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true) = true,
commutativity_of_addition ).
cnf(c_0_35,axiom,
sum(inverse(X1),X1,multiplicative_identity) = true,
additive_inverse1 ).
cnf(c_0_36,axiom,
sum(X1,additive_identity,X1) = true,
additive_identity2 ).
cnf(c_0_37,plain,
ifeq(product(inverse(X1),X2,X3),true,ifeq(sum(X1,X3,X4),true,product(multiplicative_identity,add(X1,X2),X4),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]) ).
cnf(c_0_38,axiom,
product(inverse(X1),X1,additive_identity) = true,
multiplicative_inverse1 ).
cnf(c_0_39,plain,
ifeq2(sum(additive_identity,X1,X2),true,X1,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_40,plain,
sum(X1,X2,add(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_28]) ).
cnf(c_0_41,axiom,
ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
multiplication_is_well_defined ).
cnf(c_0_42,axiom,
product(multiplicative_identity,X1,X1) = true,
multiplicative_identity1 ).
cnf(c_0_43,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(inverse(X1),X3,X4),true,ifeq(sum(inverse(X1),X2,X5),true,product(multiplicative_identity,X5,X4),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_28]) ).
cnf(c_0_44,plain,
ifeq(product(additive_identity,X1,X2),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X3,X5,X4),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_36]),c_0_28]) ).
cnf(c_0_45,axiom,
product(X1,X2,multiply(X1,X2)) = true,
closure_of_multiplication ).
cnf(c_0_46,plain,
ifeq(sum(X1,additive_identity,X2),true,product(multiplicative_identity,add(X1,X1),X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_28]) ).
cnf(c_0_47,plain,
add(X1,additive_identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_33]) ).
cnf(c_0_48,plain,
ifeq2(product(multiplicative_identity,X1,X2),true,X1,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_33]) ).
cnf(c_0_49,plain,
ifeq(product(X1,X1,X2),true,ifeq(sum(inverse(X1),X2,X3),true,product(multiplicative_identity,multiplicative_identity,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_28]) ).
cnf(c_0_50,axiom,
ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) = true,
commutativity_of_multiplication ).
cnf(c_0_51,plain,
ifeq(product(additive_identity,additive_identity,X1),true,ifeq(sum(X2,X1,X3),true,product(X2,X2,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_28]) ).
cnf(c_0_52,plain,
ifeq2(product(X1,X2,X3),true,multiply(X1,X2),X3) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_45]),c_0_33]) ).
cnf(c_0_53,plain,
product(multiplicative_identity,add(X1,X1),X1) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_30]),c_0_47]),c_0_28]) ).
cnf(c_0_54,plain,
multiply(multiplicative_identity,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_33]) ).
cnf(c_0_55,plain,
ifeq(product(inverse(X1),X2,additive_identity),true,ifeq(sum(X1,X2,X3),true,product(multiplicative_identity,X3,X1),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_28]) ).
cnf(c_0_56,axiom,
product(X1,inverse(X1),additive_identity) = true,
multiplicative_inverse2 ).
cnf(c_0_57,plain,
ifeq(product(X1,X1,X2),true,product(multiplicative_identity,multiplicative_identity,add(inverse(X1),X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_30]),c_0_28]) ).
cnf(c_0_58,plain,
product(X1,X2,multiply(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_45]),c_0_28]) ).
cnf(c_0_59,plain,
ifeq(product(additive_identity,additive_identity,X1),true,product(X2,X2,add(X2,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_30]),c_0_28]) ).
cnf(c_0_60,plain,
add(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_33]) ).
cnf(c_0_61,plain,
ifeq(sum(X1,inverse(inverse(X1)),X2),true,product(multiplicative_identity,X2,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_28]) ).
cnf(c_0_62,plain,
product(multiplicative_identity,multiplicative_identity,add(inverse(X1),multiply(X1,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_45]),c_0_28]) ).
cnf(c_0_63,plain,
multiply(X1,multiplicative_identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_58]),c_0_33]) ).
cnf(c_0_64,plain,
ifeq2(sum(X1,X2,X3),true,add(X1,X2),X3) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_33]) ).
cnf(c_0_65,plain,
product(X1,X1,add(X1,multiply(additive_identity,additive_identity))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_28]) ).
cnf(c_0_66,plain,
ifeq(product(additive_identity,X1,X2),true,ifeq(sum(X3,X1,X4),true,product(X3,X4,add(X3,X2)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30]),c_0_28]) ).
cnf(c_0_67,plain,
sum(X1,X1,X1) = true,
inference(spm,[status(thm)],[c_0_30,c_0_60]) ).
cnf(c_0_68,plain,
product(multiplicative_identity,add(X1,inverse(inverse(X1))),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_30]),c_0_28]) ).
cnf(c_0_69,plain,
add(inverse(X1),multiply(X1,X1)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_62]),c_0_63]),c_0_33]) ).
cnf(c_0_70,plain,
add(X1,X2) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_40]),c_0_33]) ).
cnf(c_0_71,plain,
multiply(X1,X1) = add(X1,multiply(additive_identity,additive_identity)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_65]),c_0_33]) ).
cnf(c_0_72,plain,
ifeq(product(additive_identity,X1,X2),true,product(X1,X1,add(X1,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_28]) ).
cnf(c_0_73,plain,
add(X1,inverse(inverse(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_68]),c_0_54]),c_0_33]) ).
cnf(c_0_74,plain,
sum(inverse(X1),multiply(X1,X1),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_69]) ).
cnf(c_0_75,plain,
multiply(X1,X1) = add(multiply(additive_identity,additive_identity),X1),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,plain,
product(X1,X1,add(X1,multiply(additive_identity,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_45]),c_0_28]) ).
cnf(c_0_77,plain,
ifeq(product(X1,X2,additive_identity),true,ifeq(sum(inverse(X1),X2,X3),true,product(multiplicative_identity,X3,inverse(X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_28]) ).
cnf(c_0_78,plain,
sum(inverse(inverse(X1)),X1,X1) = true,
inference(spm,[status(thm)],[c_0_40,c_0_73]) ).
cnf(c_0_79,plain,
sum(inverse(X1),add(multiply(additive_identity,additive_identity),X1),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,plain,
add(X1,multiply(additive_identity,X1)) = multiply(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_76]),c_0_33]) ).
cnf(c_0_81,plain,
product(multiplicative_identity,X1,inverse(inverse(X1))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_38]),c_0_28]),c_0_28]) ).
cnf(c_0_82,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,ifeq(sum(X4,X2,X6),true,product(add(X4,X1),X6,X5),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_30]),c_0_28]) ).
cnf(c_0_83,plain,
ifeq(product(additive_identity,X1,inverse(X2)),true,ifeq(sum(X2,X1,X3),true,product(X2,X3,multiplicative_identity),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_27]),c_0_28]) ).
cnf(c_0_84,plain,
sum(inverse(multiply(additive_identity,multiply(additive_identity,additive_identity))),multiply(additive_identity,additive_identity),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_71]),c_0_60]) ).
cnf(c_0_85,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_81]),c_0_54]),c_0_33]) ).
cnf(c_0_86,plain,
ifeq(product(X1,X2,additive_identity),true,ifeq(sum(X3,X2,X4),true,product(add(X3,X1),X4,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_36]),c_0_28]) ).
cnf(c_0_87,plain,
ifeq2(product(inverse(X1),X1,X2),true,additive_identity,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_33]) ).
cnf(c_0_88,plain,
product(inverse(multiply(additive_identity,multiply(additive_identity,additive_identity))),multiplicative_identity,multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_45]),c_0_28]),c_0_28]) ).
cnf(c_0_89,plain,
ifeq(sum(X1,X2,X3),true,product(add(X1,inverse(X2)),X3,X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_38]),c_0_28]) ).
cnf(c_0_90,plain,
multiply(X1,inverse(X1)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_58]),c_0_33]) ).
cnf(c_0_91,plain,
inverse(multiply(additive_identity,multiply(additive_identity,additive_identity))) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_88]),c_0_63]),c_0_33]) ).
cnf(c_0_92,plain,
product(add(X1,inverse(X2)),add(X1,X2),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_30]),c_0_28]) ).
cnf(c_0_93,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_58]),c_0_33]) ).
cnf(c_0_94,plain,
ifeq(product(additive_identity,X1,X2),true,ifeq(sum(X3,X2,X4),true,product(X3,add(X3,X1),X4),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30]),c_0_28]) ).
cnf(c_0_95,plain,
multiply(additive_identity,multiply(additive_identity,additive_identity)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_63]) ).
cnf(c_0_96,negated_conjecture,
sum(x,y,x_plus_y) = true,
x_plus_y ).
cnf(c_0_97,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X7,X5,X2),true,ifeq(sum(X7,X4,X1),true,sum(X7,X6,X3),true),true),true),true) = true,
distributivity6 ).
cnf(c_0_98,plain,
multiply(add(X1,X2),add(X1,inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_92]),c_0_33]),c_0_93]) ).
cnf(c_0_99,plain,
ifeq(product(additive_identity,X1,additive_identity),true,product(X2,add(X2,X1),X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_36]),c_0_28]) ).
cnf(c_0_100,plain,
product(additive_identity,multiply(additive_identity,additive_identity),additive_identity) = true,
inference(spm,[status(thm)],[c_0_45,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
ifeq(product(y,X1,X2),true,ifeq(sum(x,X2,X3),true,ifeq(sum(x,X1,X4),true,product(x_plus_y,X4,X3),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_96]),c_0_28]) ).
cnf(c_0_102,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(additive_identity,X4,X5),true,ifeq(sum(X1,X4,X2),true,sum(X1,X5,X3),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_36]),c_0_28]) ).
cnf(c_0_103,plain,
multiply(add(X1,X2),add(inverse(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_98,c_0_70]) ).
cnf(c_0_104,plain,
add(X1,multiply(inverse(X1),inverse(X1))) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_69,c_0_85]) ).
cnf(c_0_105,plain,
product(X1,add(X1,multiply(additive_identity,additive_identity)),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_28]) ).
cnf(c_0_106,axiom,
ifeq(product(X1,X2,X3),true,ifeq(sum(X3,X4,X5),true,ifeq(sum(X2,X4,X6),true,ifeq(sum(X1,X4,X7),true,product(X7,X6,X5),true),true),true),true) = true,
distributivity7 ).
cnf(c_0_107,negated_conjecture,
ifeq(product(y,y,X1),true,ifeq(sum(x,X1,X2),true,product(x_plus_y,x_plus_y,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_96]),c_0_28]) ).
cnf(c_0_108,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(X1,X4,X2),true,sum(X1,multiply(additive_identity,X4),X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_45]),c_0_28]) ).
cnf(c_0_109,axiom,
product(X1,multiplicative_identity,X1) = true,
multiplicative_identity2 ).
cnf(c_0_110,plain,
add(X1,multiply(X1,X1)) = multiply(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_85]),c_0_85]),c_0_63]),c_0_85]),c_0_85]),c_0_70]) ).
cnf(c_0_111,plain,
product(X1,multiply(X1,X1),X1) = true,
inference(spm,[status(thm)],[c_0_105,c_0_71]) ).
cnf(c_0_112,negated_conjecture,
ifeq(product(x,X1,X2),true,ifeq(sum(X2,y,X3),true,ifeq(sum(X1,y,X4),true,product(x_plus_y,X4,X3),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_96]),c_0_28]) ).
cnf(c_0_113,negated_conjecture,
ifeq(product(y,y,X1),true,product(x_plus_y,x_plus_y,add(x,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_30]),c_0_28]) ).
cnf(c_0_114,plain,
ifeq(sum(X1,X2,multiplicative_identity),true,sum(X1,multiply(additive_identity,X2),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_28]) ).
cnf(c_0_115,plain,
ifeq(product(additive_identity,X1,X2),true,ifeq(sum(X3,X1,X4),true,sum(X3,X2,multiply(X3,X4)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_45]),c_0_28]) ).
cnf(c_0_116,plain,
sum(X1,multiply(X1,X1),multiply(X1,X1)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_110]) ).
cnf(c_0_117,plain,
multiply(X1,multiply(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_111]),c_0_33]) ).
cnf(c_0_118,negated_conjecture,
ifeq(product(x,x,X1),true,ifeq(sum(X1,y,X2),true,product(x_plus_y,x_plus_y,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_96]),c_0_28]) ).
cnf(c_0_119,plain,
ifeq(product(inverse(X1),X2,inverse(X1)),true,ifeq(sum(X1,X2,X3),true,product(multiplicative_identity,X3,multiplicative_identity),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_28]) ).
cnf(c_0_120,negated_conjecture,
product(x_plus_y,x_plus_y,add(x,multiply(y,y))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_45]),c_0_28]) ).
cnf(c_0_121,plain,
sum(inverse(X1),multiply(additive_identity,multiply(X1,X1)),inverse(X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_74]),c_0_28]) ).
cnf(c_0_122,plain,
ifeq(product(additive_identity,multiply(X1,X1),X2),true,sum(X1,X2,X1),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_28]) ).
cnf(c_0_123,negated_conjecture,
ifeq(product(x,x,X1),true,product(x_plus_y,x_plus_y,add(X1,y)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_30]),c_0_28]) ).
cnf(c_0_124,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(product(X6,X2,X7),true,ifeq(sum(X6,X4,X1),true,sum(X7,X5,X3),true),true),true),true) = true,
distributivity3 ).
cnf(c_0_125,negated_conjecture,
product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true,
x_inverse_times_y_inverse ).
cnf(c_0_126,plain,
ifeq(sum(X1,multiplicative_identity,X2),true,product(multiplicative_identity,X2,multiplicative_identity),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_109]),c_0_28]) ).
cnf(c_0_127,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X1,X4,X5),true,ifeq(product(X1,X6,X7),true,ifeq(sum(X6,X4,X2),true,sum(X7,X5,X3),true),true),true),true) = true,
distributivity1 ).
cnf(c_0_128,negated_conjecture,
add(x,multiply(y,y)) = multiply(x_plus_y,x_plus_y),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_120]),c_0_33]) ).
cnf(c_0_129,plain,
multiply(add(X1,X2),add(X2,inverse(X1))) = X2,
inference(spm,[status(thm)],[c_0_98,c_0_70]) ).
cnf(c_0_130,plain,
add(inverse(X1),multiply(additive_identity,multiply(X1,X1))) = inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_121]),c_0_33]) ).
cnf(c_0_131,plain,
sum(X1,multiply(additive_identity,multiply(X1,X1)),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_45]),c_0_28]) ).
cnf(c_0_132,negated_conjecture,
product(x_plus_y,x_plus_y,add(y,multiply(x,x))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_45]),c_0_28]),c_0_70]) ).
cnf(c_0_133,negated_conjecture,
ifeq(product(X1,inverse(y),X2),true,ifeq(product(X3,inverse(y),X4),true,ifeq(sum(inverse(x),X3,X1),true,sum(x_inverse_times_y_inverse,X4,X2),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_28]) ).
cnf(c_0_134,plain,
product(multiplicative_identity,add(X1,multiplicative_identity),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_30]),c_0_28]) ).
cnf(c_0_135,plain,
ifeq(product(inverse(X1),additive_identity,X2),true,ifeq(sum(X1,X2,X3),true,product(multiplicative_identity,X1,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_36]),c_0_28]) ).
cnf(c_0_136,negated_conjecture,
ifeq(product(inverse(x),X1,X2),true,ifeq(product(inverse(x),X3,X4),true,ifeq(sum(inverse(y),X3,X1),true,sum(x_inverse_times_y_inverse,X4,X2),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_125]),c_0_28]) ).
cnf(c_0_137,negated_conjecture,
sum(x,multiply(y,y),multiply(x_plus_y,x_plus_y)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_128]) ).
cnf(c_0_138,plain,
multiply(inverse(X1),add(X1,multiply(additive_identity,multiply(X1,X1)))) = multiply(additive_identity,multiply(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_85]),c_0_70]) ).
cnf(c_0_139,plain,
add(X1,multiply(additive_identity,multiply(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_131]),c_0_33]) ).
cnf(c_0_140,negated_conjecture,
add(y,multiply(x,x)) = multiply(x_plus_y,x_plus_y),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_132]),c_0_33]) ).
cnf(c_0_141,negated_conjecture,
ifeq(product(X1,inverse(y),X2),true,ifeq(sum(inverse(x),X1,inverse(x)),true,sum(x_inverse_times_y_inverse,X2,x_inverse_times_y_inverse),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_125]),c_0_28]) ).
cnf(c_0_142,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X3,X5),true,product(add(X4,X1),add(X4,X2),X5),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_30]),c_0_28]) ).
cnf(c_0_143,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_134]),c_0_54]),c_0_33]) ).
cnf(c_0_144,plain,
ifeq(product(inverse(X1),additive_identity,X2),true,product(multiplicative_identity,X1,add(X1,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_30]),c_0_28]) ).
cnf(c_0_145,negated_conjecture,
ifeq(product(inverse(x),X1,X2),true,ifeq(sum(inverse(y),X1,inverse(y)),true,sum(x_inverse_times_y_inverse,X2,x_inverse_times_y_inverse),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_125]),c_0_28]) ).
cnf(c_0_146,negated_conjecture,
ifeq(product(additive_identity,multiply(y,y),X1),true,ifeq(sum(x,X1,X2),true,product(x,multiply(x_plus_y,x_plus_y),X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_137]),c_0_28]) ).
cnf(c_0_147,plain,
multiply(additive_identity,multiply(X1,X1)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139]),c_0_93]),c_0_90]) ).
cnf(c_0_148,plain,
ifeq(product(additive_identity,X1,additive_identity),true,ifeq(sum(X2,X1,X3),true,product(X2,X3,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_28]) ).
cnf(c_0_149,negated_conjecture,
sum(y,multiply(x,x),multiply(x_plus_y,x_plus_y)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_140]) ).
cnf(c_0_150,plain,
ifeq(product(additive_identity,X1,X2),true,product(X2,add(X2,X1),X2),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_67]),c_0_28]) ).
cnf(c_0_151,negated_conjecture,
ifeq(product(additive_identity,inverse(y),X1),true,sum(x_inverse_times_y_inverse,X1,x_inverse_times_y_inverse),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_36]),c_0_28]) ).
cnf(c_0_152,plain,
ifeq(sum(X1,X2,X3),true,product(multiplicative_identity,add(X1,X2),X3),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_42]),c_0_143]),c_0_28]) ).
cnf(c_0_153,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X2,X5),true,ifeq(sum(X5,X3,X6),true,ifeq(sum(X4,X1,X7),true,product(X7,X2,X6),true),true),true),true) = true,
distributivity4 ).
cnf(c_0_154,plain,
product(multiplicative_identity,X1,add(X1,multiply(additive_identity,inverse(X1)))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_45]),c_0_93]),c_0_28]) ).
cnf(c_0_155,negated_conjecture,
ifeq(product(inverse(x),additive_identity,X1),true,sum(x_inverse_times_y_inverse,X1,x_inverse_times_y_inverse),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_36]),c_0_28]) ).
cnf(c_0_156,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(inverse(X1),X3,X4),true,product(multiplicative_identity,add(inverse(X1),X2),X4),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_28]) ).
cnf(c_0_157,negated_conjecture,
ifeq(product(additive_identity,multiply(y,y),additive_identity),true,product(x,multiply(x_plus_y,x_plus_y),x),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_36]),c_0_28]) ).
cnf(c_0_158,plain,
product(additive_identity,multiply(X1,X1),additive_identity) = true,
inference(spm,[status(thm)],[c_0_45,c_0_147]) ).
cnf(c_0_159,negated_conjecture,
ifeq(product(additive_identity,multiply(x,x),additive_identity),true,product(y,multiply(x_plus_y,x_plus_y),y),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_28]) ).
cnf(c_0_160,plain,
product(multiply(additive_identity,X1),add(X1,multiply(additive_identity,X1)),multiply(additive_identity,X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_45]),c_0_28]),c_0_70]) ).
cnf(c_0_161,plain,
ifeq(sum(X1,multiply(additive_identity,X2),X3),true,ifeq(sum(X1,X2,X4),true,product(X1,X4,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28]) ).
cnf(c_0_162,negated_conjecture,
sum(x_inverse_times_y_inverse,multiply(additive_identity,inverse(y)),x_inverse_times_y_inverse) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_45]),c_0_28]) ).
cnf(c_0_163,plain,
ifeq(product(add(X1,X2),X3,X4),true,ifeq(product(X2,X5,X6),true,ifeq(sum(X1,X5,X3),true,sum(X1,X6,X4),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_30]),c_0_28]) ).
cnf(c_0_164,plain,
product(multiplicative_identity,add(X1,X2),add(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_40]),c_0_28]) ).
cnf(c_0_165,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(inverse(X1),X2,X4),true,ifeq(sum(X4,X3,X5),true,product(multiplicative_identity,X2,X5),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_35]),c_0_28]) ).
cnf(c_0_166,plain,
ifeq(product(additive_identity,additive_identity,X1),true,product(inverse(X1),inverse(X1),multiplicative_identity),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_28]) ).
cnf(c_0_167,plain,
add(X1,multiply(additive_identity,inverse(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_154]),c_0_54]),c_0_33]) ).
cnf(c_0_168,negated_conjecture,
sum(x_inverse_times_y_inverse,multiply(additive_identity,inverse(x)),x_inverse_times_y_inverse) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_45]),c_0_93]),c_0_28]) ).
cnf(c_0_169,plain,
ifeq(product(X1,X2,X1),true,product(multiplicative_identity,add(inverse(X1),X2),multiplicative_identity),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_35]),c_0_28]) ).
cnf(c_0_170,negated_conjecture,
product(x,multiply(x_plus_y,x_plus_y),x) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158]),c_0_28]) ).
cnf(c_0_171,negated_conjecture,
product(y,multiply(x_plus_y,x_plus_y),y) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_158]),c_0_28]) ).
cnf(c_0_172,plain,
product(multiply(additive_identity,X1),multiply(X1,X1),multiply(additive_identity,X1)) = true,
inference(rw,[status(thm)],[c_0_160,c_0_80]) ).
cnf(c_0_173,negated_conjecture,
ifeq(sum(x_inverse_times_y_inverse,inverse(y),X1),true,product(x_inverse_times_y_inverse,X1,x_inverse_times_y_inverse),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_28]) ).
cnf(c_0_174,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,multiplicative_identity),true,sum(X4,X3,add(X4,X1)),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_109]),c_0_28]) ).
cnf(c_0_175,plain,
product(add(X1,X2),multiplicative_identity,add(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_164]),c_0_28]) ).
cnf(c_0_176,plain,
sum(X1,multiplicative_identity,multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_143]) ).
cnf(c_0_177,plain,
ifeq(product(X1,X2,X3),true,ifeq(product(inverse(X1),X2,inverse(X3)),true,product(multiplicative_identity,X2,multiplicative_identity),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_35]),c_0_28]) ).
cnf(c_0_178,plain,
product(inverse(multiply(additive_identity,additive_identity)),inverse(multiply(additive_identity,additive_identity)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_45]),c_0_28]) ).
cnf(c_0_179,plain,
inverse(multiplicative_identity) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_56]),c_0_33]) ).
cnf(c_0_180,plain,
add(inverse(X1),multiply(additive_identity,X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_167,c_0_85]) ).
cnf(c_0_181,negated_conjecture,
ifeq(sum(x_inverse_times_y_inverse,inverse(x),X1),true,product(x_inverse_times_y_inverse,X1,x_inverse_times_y_inverse),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_168]),c_0_28]) ).
cnf(c_0_182,axiom,
ifeq(product(X1,X2,X3),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X5,X7,X2),true,ifeq(sum(X4,X7,X1),true,sum(X6,X7,X3),true),true),true),true) = true,
distributivity8 ).
cnf(c_0_183,negated_conjecture,
product(multiplicative_identity,add(inverse(x),multiply(x_plus_y,x_plus_y)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_28]) ).
cnf(c_0_184,negated_conjecture,
product(multiplicative_identity,add(inverse(y),multiply(x_plus_y,x_plus_y)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_171]),c_0_28]) ).
cnf(c_0_185,plain,
product(multiplicative_identity,add(inverse(multiply(additive_identity,X1)),multiply(X1,X1)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_172]),c_0_28]) ).
cnf(c_0_186,negated_conjecture,
product(x_inverse_times_y_inverse,add(x_inverse_times_y_inverse,inverse(y)),x_inverse_times_y_inverse) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_30]),c_0_28]) ).
cnf(c_0_187,plain,
ifeq2(sum(X1,X2,X3),true,X3,add(X2,X1)) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_40]),c_0_33]) ).
cnf(c_0_188,plain,
sum(X1,add(X2,X3),add(X1,add(X3,X2))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_28]),c_0_28]) ).
cnf(c_0_189,plain,
product(multiplicative_identity,inverse(multiply(additive_identity,additive_identity)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_85]),c_0_179]),c_0_56]),c_0_28]),c_0_28]) ).
cnf(c_0_190,plain,
sum(multiply(additive_identity,X1),inverse(X1),inverse(X1)) = true,
inference(spm,[status(thm)],[c_0_40,c_0_180]) ).
cnf(c_0_191,negated_conjecture,
product(x_inverse_times_y_inverse,add(x_inverse_times_y_inverse,inverse(x)),x_inverse_times_y_inverse) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_30]),c_0_28]) ).
cnf(c_0_192,negated_conjecture,
product(inverse(y),inverse(x),x_inverse_times_y_inverse) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_125]),c_0_28]) ).
cnf(c_0_193,negated_conjecture,
ifeq(product(X1,X2,X3),true,ifeq(sum(inverse(y),X4,X2),true,ifeq(sum(inverse(x),X4,X1),true,sum(x_inverse_times_y_inverse,X4,X3),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_125]),c_0_28]) ).
cnf(c_0_194,negated_conjecture,
add(inverse(x),multiply(x_plus_y,x_plus_y)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_183]),c_0_54]),c_0_33]) ).
cnf(c_0_195,negated_conjecture,
add(inverse(y),multiply(x_plus_y,x_plus_y)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_184]),c_0_54]),c_0_33]) ).
cnf(c_0_196,plain,
add(inverse(multiply(additive_identity,X1)),multiply(X1,X1)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_185]),c_0_54]),c_0_33]) ).
cnf(c_0_197,negated_conjecture,
product(multiplicative_identity,add(inverse(x_inverse_times_y_inverse),add(x_inverse_times_y_inverse,inverse(y))),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_186]),c_0_28]) ).
cnf(c_0_198,negated_conjecture,
ifeq(sum(X1,x_inverse_times_y_inverse,X2),true,ifeq(sum(X1,inverse(y),X3),true,product(add(X1,inverse(x)),X3,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_125]),c_0_28]) ).
cnf(c_0_199,plain,
product(X1,add(X1,multiply(X2,X2)),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_158]),c_0_28]) ).
cnf(c_0_200,plain,
add(X1,add(X2,X3)) = add(add(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_33]) ).
cnf(c_0_201,plain,
multiply(add(X1,inverse(X2)),add(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_103,c_0_85]) ).
cnf(c_0_202,plain,
inverse(multiply(additive_identity,additive_identity)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_189]),c_0_54]),c_0_33]) ).
cnf(c_0_203,plain,
product(multiply(X1,X1),inverse(X1),multiply(additive_identity,X1)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_190]),c_0_85]),c_0_70]),c_0_80]),c_0_28]) ).
cnf(c_0_204,negated_conjecture,
product(multiplicative_identity,add(inverse(x_inverse_times_y_inverse),add(x_inverse_times_y_inverse,inverse(x))),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_191]),c_0_28]) ).
cnf(c_0_205,negated_conjecture,
ifeq(sum(X1,x_inverse_times_y_inverse,X2),true,ifeq(sum(X1,inverse(x),X3),true,product(add(X1,inverse(y)),X3,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_192]),c_0_28]) ).
cnf(c_0_206,negated_conjecture,
ifeq(sum(inverse(y),X1,multiplicative_identity),true,ifeq(sum(inverse(x),X1,X2),true,sum(x_inverse_times_y_inverse,X1,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_109]),c_0_28]) ).
cnf(c_0_207,negated_conjecture,
sum(inverse(x),multiply(x_plus_y,x_plus_y),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_194]) ).
cnf(c_0_208,negated_conjecture,
sum(inverse(y),multiply(x_plus_y,x_plus_y),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_195]) ).
cnf(c_0_209,plain,
add(multiply(X1,X1),inverse(multiply(additive_identity,X1))) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_70,c_0_196]) ).
cnf(c_0_210,negated_conjecture,
add(inverse(x_inverse_times_y_inverse),add(x_inverse_times_y_inverse,inverse(y))) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_197]),c_0_54]),c_0_33]) ).
cnf(c_0_211,negated_conjecture,
ifeq(sum(inverse(y),x_inverse_times_y_inverse,X1),true,product(add(inverse(x),inverse(y)),inverse(y),X1),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_67]),c_0_28]),c_0_70]) ).
cnf(c_0_212,plain,
multiply(X1,add(X1,multiply(X2,X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_199]),c_0_33]) ).
cnf(c_0_213,plain,
add(X1,multiply(X2,X2)) = add(add(multiply(additive_identity,additive_identity),X2),X1),
inference(spm,[status(thm)],[c_0_200,c_0_71]) ).
cnf(c_0_214,plain,
multiply(add(multiply(additive_identity,additive_identity),inverse(X1)),multiply(X1,X1)) = multiply(additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_201,c_0_71]) ).
cnf(c_0_215,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_202]),c_0_63]) ).
cnf(c_0_216,plain,
add(additive_identity,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_30]),c_0_33]) ).
cnf(c_0_217,plain,
multiply(inverse(X1),multiply(X1,X1)) = multiply(additive_identity,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_203]),c_0_33]),c_0_93]) ).
cnf(c_0_218,negated_conjecture,
add(inverse(x_inverse_times_y_inverse),add(x_inverse_times_y_inverse,inverse(x))) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_204]),c_0_54]),c_0_33]) ).
cnf(c_0_219,negated_conjecture,
ifeq(sum(inverse(x),x_inverse_times_y_inverse,X1),true,product(add(inverse(x),inverse(y)),inverse(x),X1),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_67]),c_0_28]) ).
cnf(c_0_220,negated_conjecture,
sum(x_inverse_times_y_inverse,multiply(x_plus_y,x_plus_y),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),c_0_28]),c_0_28]) ).
cnf(c_0_221,plain,
add(multiply(X1,X1),inverse(multiply(X1,additive_identity))) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_209,c_0_93]) ).
cnf(c_0_222,negated_conjecture,
sum(inverse(x_inverse_times_y_inverse),add(x_inverse_times_y_inverse,inverse(y)),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_210]) ).
cnf(c_0_223,negated_conjecture,
product(add(inverse(x),inverse(y)),inverse(y),add(x_inverse_times_y_inverse,inverse(y))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_30]),c_0_70]),c_0_28]) ).
cnf(c_0_224,plain,
multiply(X1,add(add(multiply(additive_identity,additive_identity),X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_225,plain,
multiply(additive_identity,X1) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215]),c_0_216]),c_0_217]),c_0_215]) ).
cnf(c_0_226,negated_conjecture,
ifeq(product(y,X1,X2),true,ifeq(sum(x,X2,X3),true,product(x_plus_y,add(x,X1),X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_30]),c_0_28]) ).
cnf(c_0_227,negated_conjecture,
sum(inverse(x_inverse_times_y_inverse),add(x_inverse_times_y_inverse,inverse(x)),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_218]) ).
cnf(c_0_228,negated_conjecture,
product(add(inverse(x),inverse(y)),inverse(x),add(x_inverse_times_y_inverse,inverse(x))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_30]),c_0_70]),c_0_28]) ).
cnf(c_0_229,plain,
multiply(X1,add(X1,add(multiply(additive_identity,additive_identity),X2))) = X1,
inference(spm,[status(thm)],[c_0_212,c_0_75]) ).
cnf(c_0_230,negated_conjecture,
add(x_inverse_times_y_inverse,multiply(x_plus_y,x_plus_y)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_220]),c_0_33]) ).
cnf(c_0_231,plain,
add(multiply(X1,X1),multiply(X1,additive_identity)) = multiply(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_221]),c_0_63]) ).
cnf(c_0_232,negated_conjecture,
product(add(inverse(x_inverse_times_y_inverse),inverse(add(x_inverse_times_y_inverse,inverse(y)))),multiplicative_identity,inverse(x_inverse_times_y_inverse)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_222]),c_0_28]) ).
cnf(c_0_233,negated_conjecture,
multiply(inverse(y),add(inverse(x),inverse(y))) = add(x_inverse_times_y_inverse,inverse(y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_223]),c_0_93]),c_0_33]) ).
cnf(c_0_234,plain,
multiply(X1,add(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_216]) ).
cnf(c_0_235,negated_conjecture,
ifeq(product(y,X1,X2),true,product(x_plus_y,add(x,X1),add(x,X2)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_30]),c_0_28]) ).
cnf(c_0_236,negated_conjecture,
product(add(inverse(x_inverse_times_y_inverse),inverse(add(x_inverse_times_y_inverse,inverse(x)))),multiplicative_identity,inverse(x_inverse_times_y_inverse)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_227]),c_0_28]) ).
cnf(c_0_237,negated_conjecture,
multiply(inverse(x),add(inverse(x),inverse(y))) = add(x_inverse_times_y_inverse,inverse(x)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_228]),c_0_93]),c_0_33]) ).
cnf(c_0_238,plain,
multiply(X1,add(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_225]),c_0_216]) ).
cnf(c_0_239,negated_conjecture,
add(inverse(x_inverse_times_y_inverse),multiply(x_plus_y,x_plus_y)) = multiply(x_plus_y,x_plus_y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_230]),c_0_54]),c_0_70]) ).
cnf(c_0_240,plain,
add(multiply(X1,additive_identity),add(multiply(additive_identity,additive_identity),X1)) = add(multiply(additive_identity,additive_identity),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_75]),c_0_70]) ).
cnf(c_0_241,plain,
add(X1,multiply(X1,additive_identity)) = multiply(X1,X1),
inference(spm,[status(thm)],[c_0_80,c_0_93]) ).
cnf(c_0_242,negated_conjecture,
add(inverse(x_inverse_times_y_inverse),inverse(add(x_inverse_times_y_inverse,inverse(y)))) = inverse(x_inverse_times_y_inverse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_232]),c_0_63]),c_0_33]) ).
cnf(c_0_243,negated_conjecture,
add(x_inverse_times_y_inverse,inverse(y)) = inverse(y),
inference(rw,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_244,negated_conjecture,
product(x_plus_y,add(x,X1),add(x,multiply(y,X1))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_45]),c_0_28]) ).
cnf(c_0_245,negated_conjecture,
add(inverse(x_inverse_times_y_inverse),inverse(add(x_inverse_times_y_inverse,inverse(x)))) = inverse(x_inverse_times_y_inverse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_236]),c_0_63]),c_0_33]) ).
cnf(c_0_246,negated_conjecture,
add(x_inverse_times_y_inverse,inverse(x)) = inverse(x),
inference(rw,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_247,negated_conjecture,
multiply(inverse(x_inverse_times_y_inverse),multiply(x_plus_y,x_plus_y)) = inverse(x_inverse_times_y_inverse),
inference(spm,[status(thm)],[c_0_212,c_0_239]) ).
cnf(c_0_248,plain,
multiply(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_215]),c_0_216]),c_0_70]),c_0_241]),c_0_215]),c_0_216]) ).
cnf(c_0_249,negated_conjecture,
add(y,inverse(x_inverse_times_y_inverse)) = inverse(x_inverse_times_y_inverse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_85]),c_0_70]) ).
cnf(c_0_250,negated_conjecture,
ifeq2(sum(x,y,X1),true,x_plus_y,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_96]),c_0_33]) ).
cnf(c_0_251,negated_conjecture,
multiply(x_plus_y,add(x,X1)) = add(x,multiply(y,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_244]),c_0_33]) ).
cnf(c_0_252,negated_conjecture,
add(x,inverse(x_inverse_times_y_inverse)) = inverse(x_inverse_times_y_inverse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_85]),c_0_70]) ).
cnf(c_0_253,negated_conjecture,
multiply(x_plus_y,inverse(x_inverse_times_y_inverse)) = inverse(x_inverse_times_y_inverse),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_93]) ).
cnf(c_0_254,negated_conjecture,
multiply(y,inverse(x_inverse_times_y_inverse)) = y,
inference(spm,[status(thm)],[c_0_238,c_0_249]) ).
cnf(c_0_255,negated_conjecture,
add(x,y) = x_plus_y,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_30]),c_0_33]) ).
cnf(c_0_256,negated_conjecture,
inverse(x_inverse_times_y_inverse) = x_plus_y,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]),c_0_254]),c_0_255]) ).
cnf(c_0_257,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
prove_equation ).
cnf(c_0_258,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_256]),c_0_257]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : BOO014-10 : TPTP v8.1.2. Released v7.3.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.31 % Computer : n017.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 2400
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Oct 2 20:04:41 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.gcC4k5woOs/E---3.1_27582.p
% 607.55/77.21 # Version: 3.1pre001
% 607.55/77.21 # Preprocessing class: FSMSSMSSSSSNFFN.
% 607.55/77.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 607.55/77.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 607.55/77.21 # Starting new_bool_3 with 300s (1) cores
% 607.55/77.21 # Starting new_bool_1 with 300s (1) cores
% 607.55/77.21 # Starting sh5l with 300s (1) cores
% 607.55/77.21 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27659 completed with status 0
% 607.55/77.21 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 607.55/77.21 # Preprocessing class: FSMSSMSSSSSNFFN.
% 607.55/77.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 607.55/77.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 607.55/77.21 # No SInE strategy applied
% 607.55/77.21 # Search class: FUUPM-FFMF32-MFFFFFNN
% 607.55/77.21 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 607.55/77.21 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 583s (1) cores
% 607.55/77.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 607.55/77.21 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 607.55/77.21 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 607.55/77.21 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 607.55/77.21 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 27663 completed with status 0
% 607.55/77.21 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 607.55/77.21 # Preprocessing class: FSMSSMSSSSSNFFN.
% 607.55/77.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 607.55/77.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 607.55/77.21 # No SInE strategy applied
% 607.55/77.21 # Search class: FUUPM-FFMF32-MFFFFFNN
% 607.55/77.21 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 607.55/77.21 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 583s (1) cores
% 607.55/77.21 # Preprocessing time : 0.001 s
% 607.55/77.21
% 607.55/77.21 # Proof found!
% 607.55/77.21 # SZS status Unsatisfiable
% 607.55/77.21 # SZS output start CNFRefutation
% See solution above
% 607.55/77.21 # Parsed axioms : 27
% 607.55/77.21 # Removed by relevancy pruning/SinE : 0
% 607.55/77.21 # Initial clauses : 27
% 607.55/77.21 # Removed in clause preprocessing : 0
% 607.55/77.21 # Initial clauses in saturation : 27
% 607.55/77.21 # Processed clauses : 57242
% 607.55/77.21 # ...of these trivial : 36407
% 607.55/77.21 # ...subsumed : 3447
% 607.55/77.21 # ...remaining for further processing : 17388
% 607.55/77.21 # Other redundant clauses eliminated : 0
% 607.55/77.21 # Clauses deleted for lack of memory : 462815
% 607.55/77.21 # Backward-subsumed : 0
% 607.55/77.21 # Backward-rewritten : 8555
% 607.55/77.21 # Generated clauses : 3434321
% 607.55/77.21 # ...of the previous two non-redundant : 2012198
% 607.55/77.21 # ...aggressively subsumed : 0
% 607.55/77.21 # Contextual simplify-reflections : 0
% 607.55/77.21 # Paramodulations : 3434321
% 607.55/77.21 # Factorizations : 0
% 607.55/77.21 # NegExts : 0
% 607.55/77.21 # Equation resolutions : 0
% 607.55/77.21 # Total rewrite steps : 5793282
% 607.55/77.21 # Propositional unsat checks : 3
% 607.55/77.21 # Propositional check models : 3
% 607.55/77.21 # Propositional check unsatisfiable : 0
% 607.55/77.21 # Propositional clauses : 0
% 607.55/77.21 # Propositional clauses after purity: 0
% 607.55/77.21 # Propositional unsat core size : 0
% 607.55/77.21 # Propositional preprocessing time : 0.000
% 607.55/77.21 # Propositional encoding time : 8.288
% 607.55/77.21 # Propositional solver time : 0.154
% 607.55/77.21 # Success case prop preproc time : 0.000
% 607.55/77.21 # Success case prop encoding time : 0.000
% 607.55/77.21 # Success case prop solver time : 0.000
% 607.55/77.21 # Current number of processed clauses : 8833
% 607.55/77.21 # Positive orientable unit clauses : 8826
% 607.55/77.21 # Positive unorientable unit clauses: 6
% 607.55/77.21 # Negative unit clauses : 1
% 607.55/77.21 # Non-unit-clauses : 0
% 607.55/77.21 # Current number of unprocessed clauses: 1251650
% 607.55/77.21 # ...number of literals in the above : 1251650
% 607.55/77.21 # Current number of archived formulas : 0
% 607.55/77.21 # Current number of archived clauses : 8555
% 607.55/77.21 # Clause-clause subsumption calls (NU) : 0
% 607.55/77.21 # Rec. Clause-clause subsumption calls : 0
% 607.55/77.21 # Non-unit clause-clause subsumptions : 0
% 607.55/77.21 # Unit Clause-clause subsumption calls : 639
% 607.55/77.21 # Rewrite failures with RHS unbound : 0
% 607.55/77.21 # BW rewrite match attempts : 3345034
% 607.55/77.21 # BW rewrite match successes : 7281
% 607.55/77.21 # Condensation attempts : 0
% 607.55/77.21 # Condensation successes : 0
% 607.55/77.21 # Termbank termtop insertions : 100797944
% 607.55/77.21
% 607.55/77.21 # -------------------------------------------------
% 607.55/77.21 # User time : 72.495 s
% 607.55/77.21 # System time : 1.858 s
% 607.55/77.21 # Total time : 74.352 s
% 607.55/77.21 # Maximum resident set size: 1556 pages
% 607.55/77.21
% 607.55/77.21 # -------------------------------------------------
% 607.55/77.21 # User time : 368.542 s
% 607.55/77.21 # System time : 8.802 s
% 607.55/77.21 # Total time : 377.343 s
% 607.55/77.21 # Maximum resident set size: 1728 pages
% 607.55/77.21 % E---3.1 exiting
%------------------------------------------------------------------------------