TSTP Solution File: BOO015-10 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : BOO015-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 17:18:31 EDT 2023
% Result : Unsatisfiable 109.55s 14.34s
% Output : CNFRefutation 109.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of clauses : 118 ( 118 unt; 0 nHn; 36 RR)
% Number of literals : 118 ( 117 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 : 200 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_multiplication,axiom,
ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',commutativity_of_multiplication) ).
cnf(x_times_y,negated_conjecture,
product(x,y,x_times_y) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',x_times_y) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',ifeq_axiom_001) ).
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/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',distributivity5) ).
cnf(additive_inverse2,axiom,
sum(X1,inverse(X1),multiplicative_identity) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',additive_inverse2) ).
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/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',distributivity4) ).
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/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',addition_is_well_defined) ).
cnf(closure_of_addition,axiom,
sum(X1,X2,add(X1,X2)) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',closure_of_addition) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',ifeq_axiom) ).
cnf(commutativity_of_addition,axiom,
ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',commutativity_of_addition) ).
cnf(additive_identity2,axiom,
sum(X1,additive_identity,X1) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',additive_identity2) ).
cnf(multiplicative_identity2,axiom,
product(X1,multiplicative_identity,X1) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',multiplicative_identity2) ).
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/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',multiplication_is_well_defined) ).
cnf(multiplicative_identity1,axiom,
product(multiplicative_identity,X1,X1) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',multiplicative_identity1) ).
cnf(closure_of_multiplication,axiom,
product(X1,X2,multiply(X1,X2)) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',closure_of_multiplication) ).
cnf(additive_inverse1,axiom,
sum(inverse(X1),X1,multiplicative_identity) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',additive_inverse1) ).
cnf(multiplicative_inverse2,axiom,
product(X1,inverse(X1),additive_identity) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',multiplicative_inverse2) ).
cnf(multiplicative_inverse1,axiom,
product(inverse(X1),X1,additive_identity) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',multiplicative_inverse1) ).
cnf(x_inverse_plus_y_inverse,negated_conjecture,
sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',x_inverse_plus_y_inverse) ).
cnf(prove_equation,negated_conjecture,
inverse(x_times_y) != x_inverse_plus_y_inverse,
file('/export/starexec/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p',prove_equation) ).
cnf(c_0_20,axiom,
ifeq(product(X1,X2,X3),true,product(X2,X1,X3),true) = true,
commutativity_of_multiplication ).
cnf(c_0_21,negated_conjecture,
product(x,y,x_times_y) = true,
x_times_y ).
cnf(c_0_22,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_23,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_24,axiom,
sum(X1,inverse(X1),multiplicative_identity) = true,
additive_inverse2 ).
cnf(c_0_25,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_26,negated_conjecture,
product(y,x,x_times_y) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,axiom,
ifeq2(sum(X1,X2,X3),true,ifeq2(sum(X1,X2,X4),true,X4,X3),X3) = X3,
addition_is_well_defined ).
cnf(c_0_28,axiom,
sum(X1,X2,add(X1,X2)) = true,
closure_of_addition ).
cnf(c_0_29,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_30,axiom,
ifeq(sum(X1,X2,X3),true,sum(X2,X1,X3),true) = true,
commutativity_of_addition ).
cnf(c_0_31,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_23,c_0_24]),c_0_22]) ).
cnf(c_0_32,negated_conjecture,
ifeq(product(X1,x,X2),true,ifeq(sum(x_times_y,X2,X3),true,ifeq(sum(y,X1,X4),true,product(X4,x,X3),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_22]) ).
cnf(c_0_33,axiom,
sum(X1,additive_identity,X1) = true,
additive_identity2 ).
cnf(c_0_34,plain,
ifeq2(sum(X1,X2,X3),true,add(X1,X2),X3) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,plain,
sum(X1,X2,add(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_22]) ).
cnf(c_0_36,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_31,c_0_24]),c_0_22]) ).
cnf(c_0_37,axiom,
product(X1,multiplicative_identity,X1) = true,
multiplicative_identity2 ).
cnf(c_0_38,axiom,
ifeq2(product(X1,X2,X3),true,ifeq2(product(X1,X2,X4),true,X4,X3),X3) = X3,
multiplication_is_well_defined ).
cnf(c_0_39,axiom,
product(multiplicative_identity,X1,X1) = true,
multiplicative_identity1 ).
cnf(c_0_40,negated_conjecture,
ifeq(product(additive_identity,x,X1),true,ifeq(sum(x_times_y,X1,X2),true,product(y,x,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22]) ).
cnf(c_0_41,axiom,
product(X1,X2,multiply(X1,X2)) = true,
closure_of_multiplication ).
cnf(c_0_42,negated_conjecture,
ifeq(product(X1,x,X2),true,ifeq(sum(x_times_y,X2,X3),true,product(add(y,X1),x,X3),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_22]) ).
cnf(c_0_43,plain,
add(X1,X2) = add(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_29]) ).
cnf(c_0_44,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_36,c_0_37]),c_0_22]) ).
cnf(c_0_45,plain,
ifeq2(product(multiplicative_identity,X1,X2),true,X1,X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29]) ).
cnf(c_0_46,negated_conjecture,
ifeq(product(additive_identity,x,X1),true,product(y,x,add(x_times_y,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_28]),c_0_22]) ).
cnf(c_0_47,plain,
ifeq2(product(X1,X2,X3),true,multiply(X1,X2),X3) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_41]),c_0_29]) ).
cnf(c_0_48,plain,
product(X1,X2,multiply(X2,X1)) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_41]),c_0_22]) ).
cnf(c_0_49,negated_conjecture,
ifeq2(product(x,y,X1),true,X1,x_times_y) = x_times_y,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_29]) ).
cnf(c_0_50,negated_conjecture,
ifeq(sum(x_times_y,x,X1),true,product(add(multiplicative_identity,y),x,X1),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_43]),c_0_22]) ).
cnf(c_0_51,plain,
product(multiplicative_identity,add(X1,multiplicative_identity),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_28]),c_0_22]) ).
cnf(c_0_52,plain,
multiply(multiplicative_identity,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_29]) ).
cnf(c_0_53,negated_conjecture,
product(y,x,add(x_times_y,multiply(additive_identity,x))) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_22]) ).
cnf(c_0_54,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_29]) ).
cnf(c_0_55,negated_conjecture,
multiply(x,y) = x_times_y,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_41]),c_0_29]) ).
cnf(c_0_56,negated_conjecture,
product(add(multiplicative_identity,y),x,add(x,x_times_y)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_22]),c_0_43]) ).
cnf(c_0_57,plain,
add(X1,multiplicative_identity) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_51]),c_0_52]),c_0_29]) ).
cnf(c_0_58,axiom,
sum(inverse(X1),X1,multiplicative_identity) = true,
additive_inverse1 ).
cnf(c_0_59,negated_conjecture,
add(x_times_y,multiply(additive_identity,x)) = x_times_y,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_53]),c_0_54]),c_0_55]),c_0_29]) ).
cnf(c_0_60,negated_conjecture,
multiply(x,add(multiplicative_identity,y)) = add(x,x_times_y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_56]),c_0_29]),c_0_54]) ).
cnf(c_0_61,plain,
add(multiplicative_identity,X1) = multiplicative_identity,
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_62,plain,
multiply(X1,multiplicative_identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_48]),c_0_29]) ).
cnf(c_0_63,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_23,c_0_58]),c_0_22]) ).
cnf(c_0_64,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_23,c_0_33]),c_0_22]) ).
cnf(c_0_65,negated_conjecture,
sum(x_times_y,multiply(additive_identity,x),x_times_y) = true,
inference(spm,[status(thm)],[c_0_28,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
add(x,x_times_y) = x,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_67,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_63,c_0_28]),c_0_22]) ).
cnf(c_0_68,negated_conjecture,
ifeq(product(additive_identity,X1,multiply(additive_identity,x)),true,ifeq(sum(x_times_y,X1,X2),true,product(x_times_y,X2,x_times_y),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_22]) ).
cnf(c_0_69,negated_conjecture,
sum(x_times_y,x,x) = true,
inference(spm,[status(thm)],[c_0_35,c_0_66]) ).
cnf(c_0_70,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_67,c_0_58]),c_0_22]) ).
cnf(c_0_71,negated_conjecture,
product(x_times_y,x,x_times_y) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_41]),c_0_22]),c_0_22]) ).
cnf(c_0_72,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_23,c_0_28]),c_0_22]) ).
cnf(c_0_73,negated_conjecture,
product(multiplicative_identity,add(x,inverse(x_times_y)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_22]),c_0_43]) ).
cnf(c_0_74,plain,
ifeq(product(X1,X2,X3),true,ifeq(sum(inverse(X3),X2,X4),true,product(add(inverse(X3),X1),X4,multiplicative_identity),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_58]),c_0_22]) ).
cnf(c_0_75,negated_conjecture,
add(x,inverse(x_times_y)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_73]),c_0_52]),c_0_29]) ).
cnf(c_0_76,negated_conjecture,
ifeq(sum(inverse(x_times_y),y,X1),true,product(multiplicative_identity,X1,multiplicative_identity),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_21]),c_0_43]),c_0_75]),c_0_22]) ).
cnf(c_0_77,negated_conjecture,
product(multiplicative_identity,add(y,inverse(x_times_y)),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_28]),c_0_22]),c_0_43]) ).
cnf(c_0_78,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_31,c_0_33]),c_0_22]) ).
cnf(c_0_79,axiom,
product(X1,inverse(X1),additive_identity) = true,
multiplicative_inverse2 ).
cnf(c_0_80,negated_conjecture,
ifeq(product(inverse(y),x,X1),true,ifeq(sum(x_times_y,X1,X2),true,product(multiplicative_identity,x,X2),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_22]) ).
cnf(c_0_81,plain,
ifeq(product(X1,X2,additive_identity),true,ifeq(sum(X3,X2,X4),true,ifeq(sum(X3,X1,X5),true,product(X5,X4,X3),true),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_33]),c_0_22]) ).
cnf(c_0_82,axiom,
product(inverse(X1),X1,additive_identity) = true,
multiplicative_inverse1 ).
cnf(c_0_83,negated_conjecture,
add(y,inverse(x_times_y)) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_77]),c_0_52]),c_0_29]) ).
cnf(c_0_84,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_78,c_0_79]),c_0_22]) ).
cnf(c_0_85,negated_conjecture,
ifeq(product(inverse(y),x,X1),true,product(multiplicative_identity,x,add(x_times_y,X1)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_28]),c_0_22]) ).
cnf(c_0_86,plain,
ifeq(sum(X1,X2,X3),true,ifeq(sum(X1,inverse(X2),X4),true,product(X4,X3,X1),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_22]) ).
cnf(c_0_87,negated_conjecture,
sum(inverse(x_times_y),y,multiplicative_identity) = true,
inference(spm,[status(thm)],[c_0_35,c_0_83]) ).
cnf(c_0_88,plain,
product(multiplicative_identity,add(X1,inverse(inverse(X1))),X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_28]),c_0_22]) ).
cnf(c_0_89,negated_conjecture,
product(multiplicative_identity,x,add(x_times_y,multiply(x,inverse(y)))) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_41]),c_0_54]),c_0_22]) ).
cnf(c_0_90,negated_conjecture,
ifeq(sum(inverse(x_times_y),inverse(y),X1),true,product(X1,multiplicative_identity,inverse(x_times_y)),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_22]) ).
cnf(c_0_91,plain,
add(X1,inverse(inverse(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_88]),c_0_52]),c_0_29]) ).
cnf(c_0_92,negated_conjecture,
add(x_times_y,multiply(x,inverse(y))) = x,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_89]),c_0_52]),c_0_29]) ).
cnf(c_0_93,negated_conjecture,
product(add(inverse(y),inverse(x_times_y)),multiplicative_identity,inverse(x_times_y)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_28]),c_0_22]),c_0_43]) ).
cnf(c_0_94,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_63,c_0_33]),c_0_22]) ).
cnf(c_0_95,plain,
sum(inverse(inverse(X1)),X1,X1) = true,
inference(spm,[status(thm)],[c_0_35,c_0_91]) ).
cnf(c_0_96,plain,
ifeq(sum(X1,multiply(X2,X3),X4),true,ifeq(sum(X1,X3,X5),true,product(add(X1,X2),X5,X4),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_41]),c_0_22]) ).
cnf(c_0_97,negated_conjecture,
sum(x_times_y,multiply(x,inverse(y)),x) = true,
inference(spm,[status(thm)],[c_0_28,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
add(inverse(y),inverse(x_times_y)) = inverse(x_times_y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_93]),c_0_62]),c_0_29]) ).
cnf(c_0_99,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_94,c_0_95]),c_0_82]),c_0_22]),c_0_22]) ).
cnf(c_0_100,negated_conjecture,
ifeq(sum(x_times_y,inverse(y),X1),true,product(x,X1,x),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_43]),c_0_66]),c_0_22]) ).
cnf(c_0_101,negated_conjecture,
sum(inverse(y),inverse(x_times_y),inverse(x_times_y)) = true,
inference(spm,[status(thm)],[c_0_28,c_0_98]) ).
cnf(c_0_102,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_99]),c_0_52]),c_0_29]) ).
cnf(c_0_103,negated_conjecture,
product(x,add(x_times_y,inverse(y)),x) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_28]),c_0_22]) ).
cnf(c_0_104,negated_conjecture,
sum(inverse(x),inverse(y),x_inverse_plus_y_inverse) = true,
x_inverse_plus_y_inverse ).
cnf(c_0_105,negated_conjecture,
ifeq(sum(inverse(y),x_times_y,X1),true,product(X1,inverse(x_times_y),inverse(y)),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_101]),c_0_102]),c_0_22]) ).
cnf(c_0_106,negated_conjecture,
product(multiplicative_identity,add(inverse(x),add(x_times_y,inverse(y))),multiplicative_identity) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_103]),c_0_22]) ).
cnf(c_0_107,negated_conjecture,
ifeq(product(X1,X2,inverse(y)),true,ifeq(sum(inverse(x),X2,X3),true,product(add(inverse(x),X1),X3,x_inverse_plus_y_inverse),true),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_104]),c_0_22]) ).
cnf(c_0_108,negated_conjecture,
product(add(x_times_y,inverse(y)),inverse(x_times_y),inverse(y)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_28]),c_0_43]),c_0_22]) ).
cnf(c_0_109,negated_conjecture,
add(inverse(x),add(x_times_y,inverse(y))) = multiplicative_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_106]),c_0_52]),c_0_29]) ).
cnf(c_0_110,negated_conjecture,
ifeq(sum(inverse(x),inverse(x_times_y),X1),true,product(multiplicative_identity,X1,x_inverse_plus_y_inverse),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_22]) ).
cnf(c_0_111,negated_conjecture,
product(multiplicative_identity,add(inverse(x),inverse(x_times_y)),x_inverse_plus_y_inverse) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_28]),c_0_22]) ).
cnf(c_0_112,negated_conjecture,
add(inverse(x),inverse(x_times_y)) = x_inverse_plus_y_inverse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_111]),c_0_52]),c_0_29]) ).
cnf(c_0_113,negated_conjecture,
sum(inverse(x_times_y),inverse(x),x_inverse_plus_y_inverse) = true,
inference(spm,[status(thm)],[c_0_35,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
ifeq(sum(inverse(x_times_y),x,X1),true,product(X1,x_inverse_plus_y_inverse,inverse(x_times_y)),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_113]),c_0_102]),c_0_22]) ).
cnf(c_0_115,negated_conjecture,
product(multiplicative_identity,x_inverse_plus_y_inverse,inverse(x_times_y)) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_28]),c_0_43]),c_0_75]),c_0_22]) ).
cnf(c_0_116,negated_conjecture,
inverse(x_times_y) != x_inverse_plus_y_inverse,
prove_equation ).
cnf(c_0_117,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_115]),c_0_52]),c_0_29]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO015-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 20:26:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.r9EmKAYwMy/E---3.1_13120.p
% 109.55/14.34 # Version: 3.1pre001
% 109.55/14.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 109.55/14.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.55/14.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 109.55/14.34 # Starting new_bool_3 with 300s (1) cores
% 109.55/14.34 # Starting new_bool_1 with 300s (1) cores
% 109.55/14.34 # Starting sh5l with 300s (1) cores
% 109.55/14.34 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13224 completed with status 0
% 109.55/14.34 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 109.55/14.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 109.55/14.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.55/14.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 109.55/14.34 # No SInE strategy applied
% 109.55/14.34 # Search class: FUUPM-FFMF32-MFFFFFNN
% 109.55/14.34 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 109.55/14.34 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 583s (1) cores
% 109.55/14.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 109.55/14.34 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 109.55/14.34 # Starting G-E--_208_B02_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 109.55/14.34 # Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 109.55/14.34 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13230 completed with status 0
% 109.55/14.34 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 109.55/14.34 # Preprocessing class: FSMSSMSSSSSNFFN.
% 109.55/14.34 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.55/14.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 109.55/14.34 # No SInE strategy applied
% 109.55/14.34 # Search class: FUUPM-FFMF32-MFFFFFNN
% 109.55/14.34 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 109.55/14.34 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 583s (1) cores
% 109.55/14.34 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 109.55/14.34 # Preprocessing time : 0.001 s
% 109.55/14.34 # Presaturation interreduction done
% 109.55/14.34
% 109.55/14.34 # Proof found!
% 109.55/14.34 # SZS status Unsatisfiable
% 109.55/14.34 # SZS output start CNFRefutation
% See solution above
% 109.55/14.34 # Parsed axioms : 27
% 109.55/14.34 # Removed by relevancy pruning/SinE : 0
% 109.55/14.34 # Initial clauses : 27
% 109.55/14.34 # Removed in clause preprocessing : 0
% 109.55/14.34 # Initial clauses in saturation : 27
% 109.55/14.34 # Processed clauses : 21695
% 109.55/14.34 # ...of these trivial : 11782
% 109.55/14.34 # ...subsumed : 1569
% 109.55/14.34 # ...remaining for further processing : 8344
% 109.55/14.34 # Other redundant clauses eliminated : 0
% 109.55/14.34 # Clauses deleted for lack of memory : 0
% 109.55/14.34 # Backward-subsumed : 0
% 109.55/14.34 # Backward-rewritten : 1873
% 109.55/14.34 # Generated clauses : 1010351
% 109.55/14.34 # ...of the previous two non-redundant : 645589
% 109.55/14.34 # ...aggressively subsumed : 0
% 109.55/14.34 # Contextual simplify-reflections : 0
% 109.55/14.34 # Paramodulations : 1010351
% 109.55/14.34 # Factorizations : 0
% 109.55/14.34 # NegExts : 0
% 109.55/14.34 # Equation resolutions : 0
% 109.55/14.34 # Total rewrite steps : 1401614
% 109.55/14.34 # Propositional unsat checks : 1
% 109.55/14.34 # Propositional check models : 1
% 109.55/14.34 # Propositional check unsatisfiable : 0
% 109.55/14.34 # Propositional clauses : 0
% 109.55/14.34 # Propositional clauses after purity: 0
% 109.55/14.34 # Propositional unsat core size : 0
% 109.55/14.34 # Propositional preprocessing time : 0.000
% 109.55/14.34 # Propositional encoding time : 0.603
% 109.55/14.34 # Propositional solver time : 0.016
% 109.55/14.34 # Success case prop preproc time : 0.000
% 109.55/14.34 # Success case prop encoding time : 0.000
% 109.55/14.34 # Success case prop solver time : 0.000
% 109.55/14.34 # Current number of processed clauses : 6444
% 109.55/14.34 # Positive orientable unit clauses : 6433
% 109.55/14.34 # Positive unorientable unit clauses: 10
% 109.55/14.34 # Negative unit clauses : 1
% 109.55/14.34 # Non-unit-clauses : 0
% 109.55/14.34 # Current number of unprocessed clauses: 622133
% 109.55/14.34 # ...number of literals in the above : 622133
% 109.55/14.34 # Current number of archived formulas : 0
% 109.55/14.34 # Current number of archived clauses : 1900
% 109.55/14.34 # Clause-clause subsumption calls (NU) : 0
% 109.55/14.34 # Rec. Clause-clause subsumption calls : 0
% 109.55/14.34 # Non-unit clause-clause subsumptions : 0
% 109.55/14.34 # Unit Clause-clause subsumption calls : 100
% 109.55/14.34 # Rewrite failures with RHS unbound : 0
% 109.55/14.34 # BW rewrite match attempts : 1722046
% 109.55/14.34 # BW rewrite match successes : 1733
% 109.55/14.34 # Condensation attempts : 0
% 109.55/14.34 # Condensation successes : 0
% 109.55/14.34 # Termbank termtop insertions : 24733176
% 109.55/14.34
% 109.55/14.34 # -------------------------------------------------
% 109.55/14.34 # User time : 13.001 s
% 109.55/14.34 # System time : 0.533 s
% 109.55/14.34 # Total time : 13.534 s
% 109.55/14.34 # Maximum resident set size: 1556 pages
% 109.55/14.34
% 109.55/14.34 # -------------------------------------------------
% 109.55/14.34 # User time : 65.072 s
% 109.55/14.34 # System time : 2.822 s
% 109.55/14.34 # Total time : 67.893 s
% 109.55/14.34 # Maximum resident set size: 1692 pages
% 109.55/14.34 % E---3.1 exiting
%------------------------------------------------------------------------------