TSTP Solution File: BOO014-10 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---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 : n016.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 17:18:10 EDT 2023
% Result : Unsatisfiable 540.74s 69.47s
% Output : CNFRefutation 540.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 26
% Syntax : Number of clauses : 257 ( 257 unt; 0 nHn; 65 RR)
% Number of literals : 257 ( 256 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 : 460 ( 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.2iJIe3lNAD/E---3.1_17056.p',distributivity5) ).
cnf(additive_inverse2,axiom,
sum(X1,inverse(X1),multiplicative_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',additive_inverse2) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',ifeq_axiom_001) ).
cnf(closure_of_addition,axiom,
sum(X1,X2,add(X1,X2)) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.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.2iJIe3lNAD/E---3.1_17056.p',addition_is_well_defined) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X1,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',additive_identity1) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.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.2iJIe3lNAD/E---3.1_17056.p',commutativity_of_addition) ).
cnf(additive_inverse1,axiom,
sum(inverse(X1),X1,multiplicative_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',additive_inverse1) ).
cnf(additive_identity2,axiom,
sum(X1,additive_identity,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',additive_identity2) ).
cnf(multiplicative_inverse1,axiom,
product(inverse(X1),X1,additive_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.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.2iJIe3lNAD/E---3.1_17056.p',multiplication_is_well_defined) ).
cnf(multiplicative_identity1,axiom,
product(multiplicative_identity,X1,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',multiplicative_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X1,X2,multiply(X1,X2)) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.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.2iJIe3lNAD/E---3.1_17056.p',commutativity_of_multiplication) ).
cnf(multiplicative_inverse2,axiom,
product(X1,inverse(X1),additive_identity) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',multiplicative_inverse2) ).
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.2iJIe3lNAD/E---3.1_17056.p',distributivity6) ).
cnf(x_plus_y,negated_conjecture,
sum(x,y,x_plus_y) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p',x_plus_y) ).
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.2iJIe3lNAD/E---3.1_17056.p',distributivity7) ).
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.2iJIe3lNAD/E---3.1_17056.p',distributivity1) ).
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.2iJIe3lNAD/E---3.1_17056.p',x_inverse_times_y_inverse) ).
cnf(multiplicative_identity2,axiom,
product(X1,multiplicative_identity,X1) = true,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.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.2iJIe3lNAD/E---3.1_17056.p',distributivity3) ).
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.2iJIe3lNAD/E---3.1_17056.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.2iJIe3lNAD/E---3.1_17056.p',distributivity8) ).
cnf(prove_equation,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
file('/export/starexec/sandbox2/tmp/tmp.2iJIe3lNAD/E---3.1_17056.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,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_97,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_98,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_99,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_100,negated_conjecture,
sum(x,y,x_plus_y) = true,
x_plus_y ).
cnf(c_0_101,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_96,c_0_36]),c_0_28]) ).
cnf(c_0_102,plain,
multiply(add(X1,X2),add(inverse(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_97,c_0_70]) ).
cnf(c_0_103,plain,
add(X1,multiply(inverse(X1),inverse(X1))) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_69,c_0_85]) ).
cnf(c_0_104,plain,
product(X1,add(X1,multiply(additive_identity,additive_identity)),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_28]) ).
cnf(c_0_105,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_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,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_108,negated_conjecture,
product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true,
x_inverse_times_y_inverse ).
cnf(c_0_109,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_101,c_0_45]),c_0_28]) ).
cnf(c_0_110,axiom,
product(X1,multiplicative_identity,X1) = true,
multiplicative_identity2 ).
cnf(c_0_111,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_102,c_0_103]),c_0_85]),c_0_85]),c_0_63]),c_0_85]),c_0_85]),c_0_70]) ).
cnf(c_0_112,plain,
product(X1,multiply(X1,X1),X1) = true,
inference(spm,[status(thm)],[c_0_104,c_0_71]) ).
cnf(c_0_113,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_105,c_0_100]),c_0_28]) ).
cnf(c_0_114,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_100]),c_0_28]) ).
cnf(c_0_115,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_116,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_107,c_0_108]),c_0_28]) ).
cnf(c_0_117,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_109,c_0_110]),c_0_28]) ).
cnf(c_0_118,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_101,c_0_45]),c_0_28]) ).
cnf(c_0_119,plain,
sum(X1,multiply(X1,X1),multiply(X1,X1)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_111]) ).
cnf(c_0_120,plain,
multiply(X1,multiply(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_112]),c_0_33]) ).
cnf(c_0_121,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_122,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_113,c_0_30]),c_0_28]) ).
cnf(c_0_123,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_114,c_0_100]),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,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_115,c_0_110]),c_0_28]) ).
cnf(c_0_126,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_116,c_0_108]),c_0_28]) ).
cnf(c_0_127,plain,
sum(inverse(X1),multiply(additive_identity,multiply(X1,X1)),inverse(X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_74]),c_0_28]) ).
cnf(c_0_128,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_118,c_0_119]),c_0_120]),c_0_28]) ).
cnf(c_0_129,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_121,c_0_30]),c_0_28]) ).
cnf(c_0_130,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_122,c_0_45]),c_0_28]) ).
cnf(c_0_131,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_123,c_0_30]),c_0_28]) ).
cnf(c_0_132,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_108]),c_0_28]) ).
cnf(c_0_133,plain,
product(multiplicative_identity,add(X1,multiplicative_identity),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_30]),c_0_28]) ).
cnf(c_0_134,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_126,c_0_36]),c_0_28]) ).
cnf(c_0_135,plain,
multiply(add(X1,X2),add(X2,inverse(X1))) = X2,
inference(spm,[status(thm)],[c_0_97,c_0_70]) ).
cnf(c_0_136,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_127]),c_0_33]) ).
cnf(c_0_137,plain,
sum(X1,multiply(additive_identity,multiply(X1,X1)),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_45]),c_0_28]) ).
cnf(c_0_138,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_139,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_129,c_0_45]),c_0_93]),c_0_28]) ).
cnf(c_0_140,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_130]),c_0_33]) ).
cnf(c_0_141,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_131,c_0_45]),c_0_28]),c_0_70]) ).
cnf(c_0_142,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_132,c_0_108]),c_0_28]) ).
cnf(c_0_143,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_144,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_133]),c_0_54]),c_0_33]) ).
cnf(c_0_145,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_146,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_134,c_0_45]),c_0_93]),c_0_28]) ).
cnf(c_0_147,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_135,c_0_136]),c_0_85]),c_0_70]) ).
cnf(c_0_148,plain,
add(X1,multiply(additive_identity,multiply(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_137]),c_0_33]) ).
cnf(c_0_149,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_138,c_0_35]),c_0_28]) ).
cnf(c_0_150,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_151,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_139]),c_0_54]),c_0_33]) ).
cnf(c_0_152,negated_conjecture,
sum(x,multiply(y,y),multiply(x_plus_y,x_plus_y)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_140]) ).
cnf(c_0_153,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_141]),c_0_33]) ).
cnf(c_0_154,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_142,c_0_36]),c_0_28]) ).
cnf(c_0_155,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_143,c_0_42]),c_0_144]),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(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_145,c_0_146]),c_0_28]) ).
cnf(c_0_158,plain,
multiply(additive_identity,multiply(X1,X1)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148]),c_0_93]),c_0_90]) ).
cnf(c_0_159,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_149,c_0_35]),c_0_28]) ).
cnf(c_0_160,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_150,c_0_45]),c_0_28]) ).
cnf(c_0_161,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_162,plain,
add(inverse(X1),multiply(additive_identity,X1)) = inverse(X1),
inference(spm,[status(thm)],[c_0_151,c_0_85]) ).
cnf(c_0_163,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_152]),c_0_28]) ).
cnf(c_0_164,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_165,negated_conjecture,
sum(y,multiply(x,x),multiply(x_plus_y,x_plus_y)) = true,
inference(spm,[status(thm)],[c_0_30,c_0_153]) ).
cnf(c_0_166,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_167,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_154,c_0_45]),c_0_28]) ).
cnf(c_0_168,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_96,c_0_30]),c_0_28]) ).
cnf(c_0_169,plain,
product(multiplicative_identity,add(X1,X2),add(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_40]),c_0_28]) ).
cnf(c_0_170,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_171,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_157,c_0_30]),c_0_28]) ).
cnf(c_0_172,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_108]),c_0_28]) ).
cnf(c_0_173,plain,
product(additive_identity,multiply(X1,X1),additive_identity) = true,
inference(spm,[status(thm)],[c_0_45,c_0_158]) ).
cnf(c_0_174,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_159,c_0_160]),c_0_85]),c_0_161]),c_0_56]),c_0_28]),c_0_28]) ).
cnf(c_0_175,plain,
sum(multiply(additive_identity,X1),inverse(X1),inverse(X1)) = true,
inference(spm,[status(thm)],[c_0_40,c_0_162]) ).
cnf(c_0_176,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_163,c_0_36]),c_0_28]) ).
cnf(c_0_177,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_164,c_0_165]),c_0_28]) ).
cnf(c_0_178,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_166,c_0_45]),c_0_28]),c_0_70]) ).
cnf(c_0_179,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_145,c_0_167]),c_0_28]) ).
cnf(c_0_180,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_168,c_0_110]),c_0_28]) ).
cnf(c_0_181,plain,
product(add(X1,X2),multiplicative_identity,add(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_169]),c_0_28]) ).
cnf(c_0_182,plain,
sum(X1,multiplicative_identity,multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_144]) ).
cnf(c_0_183,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_170,c_0_171]),c_0_28]) ).
cnf(c_0_184,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_172]),c_0_28]) ).
cnf(c_0_185,plain,
product(X1,add(X1,multiply(X2,X2)),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_173]),c_0_28]) ).
cnf(c_0_186,plain,
multiply(add(X1,inverse(X2)),add(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_102,c_0_85]) ).
cnf(c_0_187,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_174]),c_0_54]),c_0_33]) ).
cnf(c_0_188,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_175]),c_0_85]),c_0_70]),c_0_80]),c_0_28]) ).
cnf(c_0_189,negated_conjecture,
product(x,multiply(x_plus_y,x_plus_y),x) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_173]),c_0_28]) ).
cnf(c_0_190,negated_conjecture,
product(y,multiply(x_plus_y,x_plus_y),y) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_173]),c_0_28]) ).
cnf(c_0_191,plain,
product(multiply(additive_identity,X1),multiply(X1,X1),multiply(additive_identity,X1)) = true,
inference(rw,[status(thm)],[c_0_178,c_0_80]) ).
cnf(c_0_192,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_179,c_0_30]),c_0_28]) ).
cnf(c_0_193,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_194,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_180,c_0_181]),c_0_182]),c_0_28]),c_0_28]) ).
cnf(c_0_195,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_183]),c_0_54]),c_0_33]) ).
cnf(c_0_196,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_184,c_0_67]),c_0_28]) ).
cnf(c_0_197,plain,
multiply(X1,add(X1,multiply(X2,X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_185]),c_0_33]) ).
cnf(c_0_198,plain,
multiply(add(multiply(additive_identity,additive_identity),inverse(X1)),multiply(X1,X1)) = multiply(additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_186,c_0_71]) ).
cnf(c_0_199,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_187]),c_0_63]) ).
cnf(c_0_200,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_201,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_188]),c_0_33]),c_0_93]) ).
cnf(c_0_202,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_203,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_170,c_0_189]),c_0_28]) ).
cnf(c_0_204,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_170,c_0_190]),c_0_28]) ).
cnf(c_0_205,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_170,c_0_191]),c_0_28]) ).
cnf(c_0_206,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_170,c_0_192]),c_0_28]) ).
cnf(c_0_207,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_108]),c_0_28]) ).
cnf(c_0_208,plain,
add(X1,add(X2,X3)) = add(add(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_33]) ).
cnf(c_0_209,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_195]) ).
cnf(c_0_210,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_196,c_0_30]),c_0_70]),c_0_28]) ).
cnf(c_0_211,plain,
multiply(X1,add(X1,add(multiply(additive_identity,additive_identity),X2))) = X1,
inference(spm,[status(thm)],[c_0_197,c_0_75]) ).
cnf(c_0_212,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_198,c_0_199]),c_0_200]),c_0_201]),c_0_199]) ).
cnf(c_0_213,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_202,c_0_108]),c_0_28]) ).
cnf(c_0_214,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_203]),c_0_54]),c_0_33]) ).
cnf(c_0_215,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_204]),c_0_54]),c_0_33]) ).
cnf(c_0_216,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_205]),c_0_54]),c_0_33]) ).
cnf(c_0_217,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_206]),c_0_54]),c_0_33]) ).
cnf(c_0_218,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_207,c_0_67]),c_0_28]),c_0_70]) ).
cnf(c_0_219,plain,
add(X1,multiply(X2,X2)) = add(add(X2,multiply(additive_identity,additive_identity)),X1),
inference(spm,[status(thm)],[c_0_208,c_0_75]) ).
cnf(c_0_220,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_209]),c_0_28]) ).
cnf(c_0_221,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_210]),c_0_93]),c_0_33]) ).
cnf(c_0_222,plain,
multiply(X1,add(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_200]) ).
cnf(c_0_223,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_213,c_0_110]),c_0_28]) ).
cnf(c_0_224,negated_conjecture,
sum(inverse(x),multiply(x_plus_y,x_plus_y),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_214]) ).
cnf(c_0_225,negated_conjecture,
sum(inverse(y),multiply(x_plus_y,x_plus_y),multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_30,c_0_215]) ).
cnf(c_0_226,plain,
add(multiply(X1,X1),inverse(multiply(additive_identity,X1))) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_70,c_0_216]) ).
cnf(c_0_227,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_217]) ).
cnf(c_0_228,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_218,c_0_30]),c_0_70]),c_0_28]) ).
cnf(c_0_229,plain,
multiply(X1,add(add(X2,multiply(additive_identity,additive_identity)),X1)) = X1,
inference(spm,[status(thm)],[c_0_197,c_0_219]) ).
cnf(c_0_230,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_220]),c_0_63]),c_0_33]) ).
cnf(c_0_231,negated_conjecture,
add(x_inverse_times_y_inverse,inverse(x)) = inverse(x),
inference(rw,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_232,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_223,c_0_224]),c_0_225]),c_0_28]),c_0_28]) ).
cnf(c_0_233,plain,
add(multiply(X1,X1),inverse(multiply(X1,additive_identity))) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_226,c_0_93]) ).
cnf(c_0_234,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_227]),c_0_28]) ).
cnf(c_0_235,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_228]),c_0_93]),c_0_33]) ).
cnf(c_0_236,plain,
multiply(X1,add(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_212]),c_0_47]) ).
cnf(c_0_237,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_230,c_0_231]),c_0_85]),c_0_70]) ).
cnf(c_0_238,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_232]),c_0_33]) ).
cnf(c_0_239,plain,
add(multiply(X1,X1),multiply(X1,additive_identity)) = multiply(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_233]),c_0_63]) ).
cnf(c_0_240,negated_conjecture,
ifeq(product(x,X1,x),true,ifeq(sum(X1,y,X2),true,product(x_plus_y,X2,x_plus_y),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_100]),c_0_28]) ).
cnf(c_0_241,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_234]),c_0_63]),c_0_33]) ).
cnf(c_0_242,negated_conjecture,
add(x_inverse_times_y_inverse,inverse(y)) = inverse(y),
inference(rw,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_243,negated_conjecture,
multiply(x,inverse(x_inverse_times_y_inverse)) = x,
inference(spm,[status(thm)],[c_0_222,c_0_237]) ).
cnf(c_0_244,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_135,c_0_238]),c_0_54]),c_0_70]) ).
cnf(c_0_245,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_239,c_0_75]),c_0_70]) ).
cnf(c_0_246,plain,
add(X1,multiply(X1,additive_identity)) = multiply(X1,X1),
inference(spm,[status(thm)],[c_0_80,c_0_93]) ).
cnf(c_0_247,negated_conjecture,
ifeq(product(x,X1,x),true,product(x_plus_y,add(y,X1),x_plus_y),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_40]),c_0_28]) ).
cnf(c_0_248,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_241,c_0_242]),c_0_85]),c_0_70]) ).
cnf(c_0_249,negated_conjecture,
product(x,inverse(x_inverse_times_y_inverse),x) = true,
inference(spm,[status(thm)],[c_0_45,c_0_243]) ).
cnf(c_0_250,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_197,c_0_244]) ).
cnf(c_0_251,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_245,c_0_199]),c_0_200]),c_0_70]),c_0_246]),c_0_199]),c_0_200]) ).
cnf(c_0_252,negated_conjecture,
product(x_plus_y,inverse(x_inverse_times_y_inverse),x_plus_y) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_28]) ).
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_250,c_0_251]),c_0_93]) ).
cnf(c_0_254,negated_conjecture,
inverse(x_inverse_times_y_inverse) = x_plus_y,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_252]),c_0_253]),c_0_33]) ).
cnf(c_0_255,negated_conjecture,
inverse(x_plus_y) != x_inverse_times_y_inverse,
prove_equation ).
cnf(c_0_256,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_254]),c_0_255]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : BOO014-10 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 2400
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Oct 2 21:07:52 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.50 Running first-order theorem proving
% 0.20/0.50 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/tmp/tmp.2iJIe3lNAD/E---3.1_17056.p
% 540.74/69.47 # Version: 3.1pre001
% 540.74/69.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 540.74/69.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 540.74/69.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 540.74/69.47 # Starting new_bool_3 with 300s (1) cores
% 540.74/69.47 # Starting new_bool_1 with 300s (1) cores
% 540.74/69.47 # Starting sh5l with 300s (1) cores
% 540.74/69.47 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17134 completed with status 0
% 540.74/69.47 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 540.74/69.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 540.74/69.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 540.74/69.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 540.74/69.47 # No SInE strategy applied
% 540.74/69.47 # Search class: FUUPM-FFMF32-MFFFFFNN
% 540.74/69.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 540.74/69.47 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 583s (1) cores
% 540.74/69.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 540.74/69.47 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 540.74/69.47 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 540.74/69.47 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 540.74/69.47 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 17138 completed with status 0
% 540.74/69.47 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 540.74/69.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 540.74/69.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 540.74/69.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 540.74/69.47 # No SInE strategy applied
% 540.74/69.47 # Search class: FUUPM-FFMF32-MFFFFFNN
% 540.74/69.47 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 540.74/69.47 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 583s (1) cores
% 540.74/69.47 # Preprocessing time : 0.001 s
% 540.74/69.47
% 540.74/69.47 # Proof found!
% 540.74/69.47 # SZS status Unsatisfiable
% 540.74/69.47 # SZS output start CNFRefutation
% See solution above
% 540.74/69.47 # Parsed axioms : 27
% 540.74/69.47 # Removed by relevancy pruning/SinE : 0
% 540.74/69.47 # Initial clauses : 27
% 540.74/69.47 # Removed in clause preprocessing : 0
% 540.74/69.47 # Initial clauses in saturation : 27
% 540.74/69.47 # Processed clauses : 57257
% 540.74/69.47 # ...of these trivial : 36417
% 540.74/69.47 # ...subsumed : 3447
% 540.74/69.47 # ...remaining for further processing : 17393
% 540.74/69.47 # Other redundant clauses eliminated : 0
% 540.74/69.47 # Clauses deleted for lack of memory : 462815
% 540.74/69.47 # Backward-subsumed : 0
% 540.74/69.47 # Backward-rewritten : 8560
% 540.74/69.47 # Generated clauses : 3437555
% 540.74/69.47 # ...of the previous two non-redundant : 2013231
% 540.74/69.47 # ...aggressively subsumed : 0
% 540.74/69.47 # Contextual simplify-reflections : 0
% 540.74/69.47 # Paramodulations : 3437555
% 540.74/69.47 # Factorizations : 0
% 540.74/69.47 # NegExts : 0
% 540.74/69.47 # Equation resolutions : 0
% 540.74/69.47 # Total rewrite steps : 5801792
% 540.74/69.47 # Propositional unsat checks : 3
% 540.74/69.47 # Propositional check models : 3
% 540.74/69.47 # Propositional check unsatisfiable : 0
% 540.74/69.47 # Propositional clauses : 0
% 540.74/69.47 # Propositional clauses after purity: 0
% 540.74/69.47 # Propositional unsat core size : 0
% 540.74/69.47 # Propositional preprocessing time : 0.000
% 540.74/69.47 # Propositional encoding time : 7.479
% 540.74/69.47 # Propositional solver time : 0.144
% 540.74/69.47 # Success case prop preproc time : 0.000
% 540.74/69.47 # Success case prop encoding time : 0.000
% 540.74/69.47 # Success case prop solver time : 0.000
% 540.74/69.47 # Current number of processed clauses : 8833
% 540.74/69.47 # Positive orientable unit clauses : 8826
% 540.74/69.47 # Positive unorientable unit clauses: 6
% 540.74/69.47 # Negative unit clauses : 1
% 540.74/69.47 # Non-unit-clauses : 0
% 540.74/69.47 # Current number of unprocessed clauses: 1252671
% 540.74/69.47 # ...number of literals in the above : 1252671
% 540.74/69.47 # Current number of archived formulas : 0
% 540.74/69.47 # Current number of archived clauses : 8560
% 540.74/69.47 # Clause-clause subsumption calls (NU) : 0
% 540.74/69.47 # Rec. Clause-clause subsumption calls : 0
% 540.74/69.47 # Non-unit clause-clause subsumptions : 0
% 540.74/69.47 # Unit Clause-clause subsumption calls : 639
% 540.74/69.47 # Rewrite failures with RHS unbound : 0
% 540.74/69.47 # BW rewrite match attempts : 3345014
% 540.74/69.47 # BW rewrite match successes : 7287
% 540.74/69.47 # Condensation attempts : 0
% 540.74/69.47 # Condensation successes : 0
% 540.74/69.47 # Termbank termtop insertions : 100872539
% 540.74/69.47
% 540.74/69.47 # -------------------------------------------------
% 540.74/69.47 # User time : 63.749 s
% 540.74/69.47 # System time : 1.755 s
% 540.74/69.47 # Total time : 65.504 s
% 540.74/69.47 # Maximum resident set size: 1556 pages
% 540.74/69.47
% 540.74/69.47 # -------------------------------------------------
% 540.74/69.47 # User time : 327.295 s
% 540.74/69.47 # System time : 8.436 s
% 540.74/69.47 # Total time : 335.731 s
% 540.74/69.47 # Maximum resident set size: 1728 pages
% 540.74/69.47 % E---3.1 exiting
% 540.74/69.47 % E---3.1 exiting
%------------------------------------------------------------------------------