TSTP Solution File: RNG035-7 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG035-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 19:15:26 EDT 2023
% Result : Unsatisfiable 32.07s 4.62s
% Output : CNFRefutation 32.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 11
% Syntax : Number of clauses : 155 ( 155 unt; 0 nHn; 9 RR)
% Number of literals : 155 ( 154 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 334 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distribute1,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',distribute1) ).
cnf(x_fourthed_is_x,hypothesis,
multiply(X1,multiply(X1,multiply(X1,X1))) = X1,
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',x_fourthed_is_x) ).
cnf(commutativity_for_addition,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',commutativity_for_addition) ).
cnf(associativity_for_addition,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',associativity_for_addition) ).
cnf(right_additive_inverse,axiom,
add(X1,additive_inverse(X1)) = additive_identity,
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',right_additive_inverse) ).
cnf(left_additive_identity,axiom,
add(additive_identity,X1) = X1,
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',left_additive_identity) ).
cnf(right_additive_identity,axiom,
add(X1,additive_identity) = X1,
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',right_additive_identity) ).
cnf(distribute2,axiom,
multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',distribute2) ).
cnf(associativity_for_multiplication,axiom,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',associativity_for_multiplication) ).
cnf(a_times_b_is_c,negated_conjecture,
multiply(a,b) = c,
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',a_times_b_is_c) ).
cnf(prove_commutativity,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/tmp/tmp.EyvHuhxIZx/E---3.1_4761.p',prove_commutativity) ).
cnf(c_0_11,axiom,
multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
distribute1 ).
cnf(c_0_12,hypothesis,
multiply(X1,multiply(X1,multiply(X1,X1))) = X1,
x_fourthed_is_x ).
cnf(c_0_13,axiom,
add(X1,X2) = add(X2,X1),
commutativity_for_addition ).
cnf(c_0_14,axiom,
add(X1,add(X2,X3)) = add(add(X1,X2),X3),
associativity_for_addition ).
cnf(c_0_15,axiom,
add(X1,additive_inverse(X1)) = additive_identity,
right_additive_inverse ).
cnf(c_0_16,axiom,
add(additive_identity,X1) = X1,
left_additive_identity ).
cnf(c_0_17,hypothesis,
multiply(X1,add(X2,multiply(X1,multiply(X1,X1)))) = add(X1,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_18,plain,
add(X1,add(additive_inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,hypothesis,
add(X1,multiply(X1,additive_identity)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_12]) ).
cnf(c_0_20,axiom,
add(X1,additive_identity) = X1,
right_additive_identity ).
cnf(c_0_21,axiom,
multiply(add(X1,X2),X3) = add(multiply(X1,X3),multiply(X2,X3)),
distribute2 ).
cnf(c_0_22,axiom,
multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3),
associativity_for_multiplication ).
cnf(c_0_23,hypothesis,
multiply(additive_inverse(X1),additive_identity) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).
cnf(c_0_24,plain,
additive_inverse(additive_inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_20]) ).
cnf(c_0_25,plain,
add(multiply(X1,X2),multiply(X3,multiply(X4,X2))) = multiply(add(X1,multiply(X3,X4)),X2),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,hypothesis,
multiply(X1,additive_identity) = additive_identity,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,hypothesis,
multiply(X1,multiply(add(X2,multiply(X1,X1)),X1)) = add(X1,multiply(X1,multiply(X2,X1))),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_28,hypothesis,
multiply(X1,multiply(additive_identity,X2)) = multiply(additive_identity,X2),
inference(spm,[status(thm)],[c_0_22,c_0_26]) ).
cnf(c_0_29,hypothesis,
add(X1,multiply(additive_identity,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_22]),c_0_12]),c_0_28]) ).
cnf(c_0_30,plain,
add(X1,add(X2,additive_inverse(X1))) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_31,plain,
add(multiply(X1,multiply(X2,X3)),multiply(X4,X3)) = multiply(add(multiply(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_32,hypothesis,
multiply(additive_identity,additive_inverse(X1)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_29]),c_0_15]) ).
cnf(c_0_33,hypothesis,
multiply(X1,add(multiply(X1,multiply(X1,X1)),X2)) = add(X1,multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_34,plain,
add(additive_inverse(X1),add(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_35,plain,
add(additive_inverse(X1),add(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_36,hypothesis,
multiply(add(multiply(X1,X1),X2),multiply(X1,X1)) = add(X1,multiply(X2,multiply(X1,X1))),
inference(spm,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_37,hypothesis,
multiply(additive_identity,X1) = additive_identity,
inference(spm,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_38,plain,
add(multiply(X1,X2),add(multiply(X1,X3),X4)) = add(multiply(X1,add(X2,X3)),X4),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_39,hypothesis,
multiply(X1,multiply(add(multiply(X1,X1),X2),X1)) = add(X1,multiply(X1,multiply(X2,X1))),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_40,plain,
add(X1,additive_inverse(add(X2,X1))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_13]) ).
cnf(c_0_41,hypothesis,
add(X1,multiply(additive_inverse(multiply(X1,X1)),multiply(X1,X1))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_15]),c_0_37]) ).
cnf(c_0_42,plain,
additive_inverse(additive_identity) = additive_identity,
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_43,plain,
add(multiply(X1,add(X2,X3)),additive_inverse(multiply(X1,X2))) = multiply(X1,X3),
inference(spm,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_44,hypothesis,
add(X1,multiply(X1,multiply(additive_inverse(multiply(X1,X1)),X1))) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_15]),c_0_28]),c_0_37]) ).
cnf(c_0_45,hypothesis,
multiply(additive_inverse(multiply(X1,X1)),multiply(X1,X1)) = additive_inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_20]) ).
cnf(c_0_46,plain,
additive_inverse(multiply(X1,X2)) = multiply(X1,additive_inverse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_15]),c_0_26]),c_0_16]) ).
cnf(c_0_47,hypothesis,
multiply(X1,multiply(additive_inverse(multiply(X1,X1)),X1)) = additive_inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_42]),c_0_20]) ).
cnf(c_0_48,hypothesis,
multiply(X1,multiply(additive_inverse(X1),multiply(X1,X1))) = additive_inverse(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_22]) ).
cnf(c_0_49,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X1,X2)))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_22]),c_0_22]) ).
cnf(c_0_50,hypothesis,
multiply(X1,multiply(X1,multiply(additive_inverse(X1),X1))) = additive_inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_46]),c_0_22]) ).
cnf(c_0_51,hypothesis,
multiply(X1,multiply(additive_inverse(X1),multiply(X1,additive_inverse(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_48]),c_0_24]),c_0_46]),c_0_46]) ).
cnf(c_0_52,hypothesis,
multiply(X1,multiply(additive_inverse(X1),X1)) = multiply(X1,multiply(X1,additive_inverse(X1))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,hypothesis,
multiply(additive_inverse(X1),multiply(X1,multiply(X1,additive_inverse(X1)))) = additive_inverse(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_24]),c_0_52]) ).
cnf(c_0_54,hypothesis,
multiply(additive_inverse(X1),multiply(X1,multiply(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_53]),c_0_24]),c_0_46]),c_0_46]),c_0_24]) ).
cnf(c_0_55,hypothesis,
multiply(additive_inverse(X1),multiply(X1,multiply(X1,multiply(X1,X2)))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_54]),c_0_22]),c_0_22]) ).
cnf(c_0_56,hypothesis,
multiply(X1,multiply(additive_inverse(X1),multiply(additive_inverse(X1),X1))) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_24]) ).
cnf(c_0_57,hypothesis,
multiply(additive_inverse(X1),X1) = multiply(X1,X1),
inference(spm,[status(thm)],[c_0_55,c_0_12]) ).
cnf(c_0_58,plain,
add(multiply(X1,X2),multiply(X3,multiply(X4,multiply(X5,X2)))) = multiply(add(X1,multiply(X3,multiply(X4,X5))),X2),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_59,hypothesis,
additive_inverse(X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_48]) ).
cnf(c_0_60,plain,
add(X1,additive_inverse(add(X1,X2))) = additive_inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_34]),c_0_13]) ).
cnf(c_0_61,hypothesis,
multiply(X1,multiply(add(multiply(X1,multiply(X1,X1)),X2),X3)) = multiply(add(X1,multiply(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_22,c_0_33]) ).
cnf(c_0_62,hypothesis,
multiply(add(X1,multiply(X2,multiply(X2,X2))),X2) = add(X2,multiply(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_59]),c_0_13]),c_0_59]),c_0_59]) ).
cnf(c_0_63,hypothesis,
multiply(X1,add(X2,multiply(X1,multiply(X1,multiply(X1,X3))))) = multiply(X1,add(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_49]),c_0_11]) ).
cnf(c_0_64,plain,
add(X1,X1) = additive_identity,
inference(rw,[status(thm)],[c_0_15,c_0_59]) ).
cnf(c_0_65,hypothesis,
multiply(X1,add(multiply(X1,multiply(X1,multiply(X1,X2))),X3)) = multiply(X1,add(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_49]),c_0_11]) ).
cnf(c_0_66,plain,
add(X1,add(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_59]),c_0_59]) ).
cnf(c_0_67,hypothesis,
multiply(add(X1,multiply(X1,multiply(X2,multiply(X2,X2)))),X2) = additive_identity,
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_61,c_0_62]),c_0_22]),c_0_22]),c_0_63]),c_0_64]),c_0_26]) ).
cnf(c_0_68,hypothesis,
multiply(X1,add(X2,add(multiply(X1,multiply(X1,multiply(X1,X2))),X3))) = multiply(X1,X3),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X2))))))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_70,hypothesis,
multiply(add(X1,multiply(X1,multiply(X2,multiply(X2,X2)))),multiply(X2,X3)) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_67]),c_0_37]) ).
cnf(c_0_71,hypothesis,
multiply(X1,add(X2,multiply(X1,add(multiply(X1,multiply(X1,X2)),X3)))) = multiply(X1,multiply(X1,X3)),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_72,hypothesis,
multiply(X1,add(X2,multiply(X2,multiply(X1,multiply(X1,X1))))) = additive_identity,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_26]) ).
cnf(c_0_73,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X1,X1)))) = multiply(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_20]),c_0_22]),c_0_22]),c_0_49]) ).
cnf(c_0_74,hypothesis,
multiply(add(X1,multiply(X2,multiply(X2,X2))),multiply(X2,X3)) = multiply(add(X2,multiply(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_49]),c_0_31]),c_0_13]) ).
cnf(c_0_75,hypothesis,
multiply(X1,multiply(X2,multiply(X3,multiply(X1,multiply(X1,X1))))) = multiply(X1,multiply(X2,X3)),
inference(spm,[status(thm)],[c_0_73,c_0_22]) ).
cnf(c_0_76,hypothesis,
multiply(X1,multiply(add(X2,multiply(X1,multiply(X1,multiply(X1,X2)))),X3)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_74]),c_0_22]),c_0_22]),c_0_70]) ).
cnf(c_0_77,hypothesis,
multiply(add(multiply(X1,multiply(X1,X1)),X2),X1) = add(X1,multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_62,c_0_13]) ).
cnf(c_0_78,hypothesis,
multiply(add(X1,multiply(X2,multiply(X2,multiply(X2,X1)))),multiply(X3,X2)) = additive_identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_26]),c_0_26]) ).
cnf(c_0_79,hypothesis,
add(multiply(X1,X2),multiply(X2,multiply(X2,multiply(X2,multiply(X1,X2))))) = additive_identity,
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(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_77,c_0_78]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_69]) ).
cnf(c_0_80,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,X1)))) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_79]),c_0_20]) ).
cnf(c_0_81,hypothesis,
multiply(add(X1,add(multiply(X1,multiply(X2,multiply(X2,X2))),X3)),X2) = multiply(X3,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_67]),c_0_16]),c_0_14]) ).
cnf(c_0_82,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,multiply(X1,X3))))) = multiply(X2,multiply(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_80]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_83,hypothesis,
multiply(X1,multiply(additive_inverse(X1),additive_inverse(X1))) = multiply(X1,multiply(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_52]),c_0_46]),c_0_46]),c_0_24]),c_0_46]) ).
cnf(c_0_84,hypothesis,
multiply(add(X1,add(X2,multiply(X1,multiply(X3,multiply(X3,X3))))),X3) = multiply(X2,X3),
inference(spm,[status(thm)],[c_0_81,c_0_13]) ).
cnf(c_0_85,hypothesis,
multiply(X1,multiply(X1,multiply(X1,X2))) = multiply(X2,multiply(X1,multiply(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_73]) ).
cnf(c_0_86,hypothesis,
multiply(add(X1,add(X2,multiply(X3,multiply(X3,multiply(X3,X1))))),X3) = multiply(X2,X3),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_87,plain,
multiply(add(X1,multiply(X1,X2)),X3) = multiply(X1,add(X3,multiply(X2,X3))),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_88,hypothesis,
multiply(add(X1,multiply(add(X2,multiply(X3,multiply(X3,X3))),X1)),X3) = multiply(X2,multiply(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_58]),c_0_22]) ).
cnf(c_0_89,hypothesis,
multiply(X1,multiply(X1,add(X2,multiply(X1,X1)))) = add(X1,multiply(X1,multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_90,hypothesis,
multiply(add(X1,multiply(X2,multiply(X2,X2))),multiply(X1,X2)) = multiply(X1,add(X2,multiply(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_62]),c_0_62]),c_0_66]) ).
cnf(c_0_91,plain,
add(X1,add(X2,X1)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_59]),c_0_59]) ).
cnf(c_0_92,hypothesis,
multiply(X1,multiply(add(X2,multiply(X1,multiply(X1,X1))),X3)) = multiply(add(X1,multiply(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_93,hypothesis,
multiply(add(X1,multiply(X2,multiply(X3,multiply(X3,X3)))),X3) = multiply(add(X2,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_30]),c_0_59]) ).
cnf(c_0_94,hypothesis,
multiply(X1,multiply(X1,add(multiply(X1,multiply(X1,X2)),X3))) = multiply(X1,add(X2,multiply(X1,X3))),
inference(spm,[status(thm)],[c_0_65,c_0_11]) ).
cnf(c_0_95,hypothesis,
add(multiply(X1,multiply(X1,multiply(X1,X2))),multiply(X2,X3)) = multiply(X2,add(multiply(X1,multiply(X1,X1)),X3)),
inference(spm,[status(thm)],[c_0_11,c_0_85]) ).
cnf(c_0_96,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,multiply(X3,X1))))) = multiply(X2,multiply(X3,X1)),
inference(spm,[status(thm)],[c_0_80,c_0_22]) ).
cnf(c_0_97,plain,
add(multiply(X1,multiply(X2,multiply(X3,X4))),multiply(X5,X4)) = multiply(add(multiply(X1,multiply(X2,X3)),X5),X4),
inference(spm,[status(thm)],[c_0_31,c_0_22]) ).
cnf(c_0_98,hypothesis,
multiply(X1,multiply(X1,multiply(add(X2,multiply(X1,X1)),X3))) = multiply(add(X1,multiply(X1,multiply(X1,X2))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_89]),c_0_22]) ).
cnf(c_0_99,hypothesis,
multiply(add(multiply(X1,multiply(X1,X1)),X2),multiply(X2,X1)) = multiply(X2,add(X1,multiply(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_77]),c_0_14]),c_0_91]),c_0_66]) ).
cnf(c_0_100,hypothesis,
multiply(X1,multiply(X1,add(X2,multiply(X1,multiply(X1,X3))))) = multiply(X1,add(multiply(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_63,c_0_11]) ).
cnf(c_0_101,hypothesis,
multiply(add(X1,multiply(X1,X2)),multiply(X1,X3)) = multiply(X1,multiply(add(X1,multiply(X2,X1)),X3)),
inference(spm,[status(thm)],[c_0_92,c_0_74]) ).
cnf(c_0_102,hypothesis,
multiply(add(X1,multiply(X2,multiply(X2,multiply(X2,X3)))),X2) = multiply(add(X3,X1),X2),
inference(spm,[status(thm)],[c_0_93,c_0_85]) ).
cnf(c_0_103,hypothesis,
multiply(X1,multiply(X1,multiply(X1,add(X2,multiply(X1,X3))))) = multiply(X1,add(multiply(X1,multiply(X1,X2)),X3)),
inference(spm,[status(thm)],[c_0_49,c_0_94]) ).
cnf(c_0_104,hypothesis,
multiply(X1,multiply(add(multiply(X1,X1),X2),multiply(X1,X3))) = multiply(add(X1,multiply(X1,multiply(X2,X1))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_39]),c_0_22]) ).
cnf(c_0_105,hypothesis,
multiply(add(multiply(X1,X1),X2),multiply(X1,X2)) = multiply(X2,multiply(X1,add(multiply(X1,X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_95]),c_0_11]) ).
cnf(c_0_106,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_107,hypothesis,
multiply(add(multiply(X1,multiply(X2,multiply(X2,X2))),X3),X2) = multiply(add(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_18]),c_0_59]) ).
cnf(c_0_108,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X2,X2)))))) = multiply(X2,multiply(X1,multiply(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_85]),c_0_22]),c_0_75]),c_0_22]),c_0_22]) ).
cnf(c_0_109,hypothesis,
multiply(add(multiply(X1,multiply(X1,X1)),X2),X2) = multiply(X2,add(multiply(X1,multiply(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_97,c_0_95]) ).
cnf(c_0_110,hypothesis,
multiply(X1,add(X2,multiply(X1,multiply(X1,X2)))) = multiply(add(X1,multiply(X1,multiply(X1,X1))),X2),
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(rw,[status(thm)],[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(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_98,c_0_99]),c_0_22]),c_0_22]),c_0_100]),c_0_13]),c_0_22]),c_0_101]),c_0_22]),c_0_22]),c_0_22]),c_0_101]),c_0_22]),c_0_22]),c_0_22]),c_0_102]),c_0_13]),c_0_98]),c_0_103]),c_0_13]) ).
cnf(c_0_111,hypothesis,
multiply(X1,multiply(X2,multiply(X1,add(multiply(X1,X1),X2)))) = multiply(add(X1,multiply(X1,multiply(X2,X1))),X2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,plain,
add(multiply(X1,X2),add(X3,multiply(X1,X4))) = add(X3,multiply(X1,add(X4,X2))),
inference(spm,[status(thm)],[c_0_106,c_0_11]) ).
cnf(c_0_113,hypothesis,
multiply(X1,add(X2,multiply(X3,multiply(X1,multiply(X1,X1))))) = multiply(X1,add(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_73]),c_0_11]) ).
cnf(c_0_114,hypothesis,
multiply(add(multiply(X1,multiply(X1,multiply(X1,X2))),X3),X1) = multiply(add(X2,X3),X1),
inference(spm,[status(thm)],[c_0_107,c_0_85]) ).
cnf(c_0_115,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,X1))))) = multiply(X2,multiply(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_108]),c_0_73]) ).
cnf(c_0_116,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X1,multiply(X1,X3))))) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_73]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_117,hypothesis,
multiply(add(X1,multiply(X2,multiply(X2,X2))),X1) = multiply(X1,add(X1,multiply(X2,multiply(X2,X2)))),
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_109,c_0_30]),c_0_46]),c_0_46]),c_0_59]),c_0_46]),c_0_46]),c_0_59]) ).
cnf(c_0_118,hypothesis,
multiply(add(X1,multiply(X1,X1)),add(X1,multiply(X1,X1))) = add(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(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_110,c_0_111]),c_0_13]),c_0_87]),c_0_22]),c_0_17]),c_0_112]),c_0_66]),c_0_17]),c_0_13]),c_0_101]),c_0_22]),c_0_92]) ).
cnf(c_0_119,hypothesis,
multiply(X1,multiply(add(X2,multiply(X3,multiply(X1,X1))),X1)) = multiply(X1,add(multiply(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_113,c_0_58]) ).
cnf(c_0_120,hypothesis,
multiply(X1,multiply(add(multiply(X1,multiply(X1,X2)),X3),X1)) = multiply(add(X2,multiply(X1,X3)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_11]),c_0_22]) ).
cnf(c_0_121,hypothesis,
multiply(X1,add(multiply(X1,multiply(X1,multiply(X2,X1))),X3)) = add(multiply(X2,X1),multiply(X1,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_80]) ).
cnf(c_0_122,hypothesis,
multiply(X1,multiply(add(X1,multiply(X2,X1)),multiply(X1,X1))) = add(X1,multiply(X1,X2)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_77]),c_0_25]),c_0_22]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_12]),c_0_33]) ).
cnf(c_0_123,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X1,X3)))))) = multiply(X2,multiply(X2,multiply(X1,X3))),
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_22,c_0_115]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_124,hypothesis,
multiply(X1,multiply(X2,multiply(X3,multiply(X4,multiply(X1,multiply(X1,X1)))))) = multiply(X1,multiply(X2,multiply(X3,X4))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_75]),c_0_116]) ).
cnf(c_0_125,hypothesis,
multiply(add(X1,multiply(X2,multiply(X3,X3))),multiply(X3,X3)) = multiply(add(multiply(X1,X3),X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_59]),c_0_31]),c_0_59]),c_0_59]) ).
cnf(c_0_126,hypothesis,
multiply(X1,add(X2,multiply(X1,multiply(add(multiply(X1,X1),X3),X2)))) = multiply(X1,multiply(X1,multiply(X3,X2))),
inference(spm,[status(thm)],[c_0_71,c_0_31]) ).
cnf(c_0_127,hypothesis,
multiply(add(X1,add(X2,multiply(X2,X2))),X1) = multiply(X1,add(X1,add(X2,multiply(X2,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_118]),c_0_118]) ).
cnf(c_0_128,hypothesis,
multiply(X1,multiply(X1,add(multiply(X1,X1),X2))) = add(X1,multiply(X1,multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_33,c_0_11]) ).
cnf(c_0_129,hypothesis,
multiply(add(X1,multiply(X2,multiply(X3,multiply(X2,X2)))),X2) = add(multiply(X1,X2),multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_22]),c_0_22]),c_0_121]) ).
cnf(c_0_130,hypothesis,
multiply(add(X1,multiply(X2,X1)),multiply(X1,X1)) = multiply(X1,multiply(X1,add(X1,multiply(X1,X2)))),
inference(spm,[status(thm)],[c_0_82,c_0_122]) ).
cnf(c_0_131,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X2,multiply(X1,multiply(X3,X1)))))) = multiply(X2,multiply(X2,multiply(X3,X1))),
inference(spm,[status(thm)],[c_0_123,c_0_80]) ).
cnf(c_0_132,hypothesis,
multiply(X1,multiply(X1,multiply(X2,X2))) = multiply(X2,multiply(X1,multiply(X2,X1))),
inference(spm,[status(thm)],[c_0_124,c_0_123]) ).
cnf(c_0_133,hypothesis,
multiply(add(multiply(X1,multiply(X2,X2)),X3),multiply(X2,X2)) = multiply(add(multiply(X3,X2),X1),X2),
inference(spm,[status(thm)],[c_0_125,c_0_13]) ).
cnf(c_0_134,hypothesis,
multiply(X1,multiply(X1,multiply(add(X2,multiply(X2,X2)),multiply(X1,X1)))) = multiply(X1,add(X2,multiply(X2,X2))),
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_126,c_0_127]),c_0_22]),c_0_128]),c_0_11]),c_0_66]),c_0_49]) ).
cnf(c_0_135,hypothesis,
multiply(add(X1,multiply(X1,multiply(X2,multiply(X3,multiply(X2,X2))))),X2) = multiply(X1,add(X2,multiply(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_129]),c_0_22]),c_0_22]),c_0_65]) ).
cnf(c_0_136,hypothesis,
multiply(X1,multiply(X2,multiply(X1,multiply(X1,add(X1,multiply(X1,X2)))))) = multiply(add(X1,multiply(X1,X2)),X2),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_90]),c_0_25]),c_0_130]),c_0_22]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_12]),c_0_92]) ).
cnf(c_0_137,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(add(X1,multiply(X1,X2)),X3)))) = multiply(add(X1,multiply(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_49,c_0_87]) ).
cnf(c_0_138,hypothesis,
multiply(X1,multiply(X1,multiply(X1,multiply(X2,add(X1,multiply(X3,X1)))))) = multiply(X2,add(X1,multiply(X3,X1))),
inference(spm,[status(thm)],[c_0_80,c_0_87]) ).
cnf(c_0_139,hypothesis,
multiply(X1,multiply(X1,multiply(X2,multiply(X1,multiply(X1,X2))))) = multiply(X2,multiply(X2,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_22]),c_0_12]),c_0_22]),c_0_73]),c_0_22]),c_0_22]),c_0_12]) ).
cnf(c_0_140,negated_conjecture,
multiply(a,b) = c,
a_times_b_is_c ).
cnf(c_0_141,hypothesis,
multiply(add(X1,multiply(add(multiply(X1,multiply(X2,X2)),X3),X2)),X2) = multiply(X3,multiply(X2,X2)),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_133]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_22]),c_0_12]),c_0_13]) ).
cnf(c_0_142,hypothesis,
multiply(add(X1,multiply(X1,X2)),X2) = multiply(X2,add(X1,multiply(X2,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(rw,[status(thm)],[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(rw,[status(thm)],[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(rw,[status(thm)],[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_134,c_0_135]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_11]),c_0_22]),c_0_22]),c_0_22]),c_0_136]),c_0_137]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_12]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_80]),c_0_11]),c_0_11]),c_0_11]),c_0_138]) ).
cnf(c_0_143,hypothesis,
multiply(X1,multiply(X2,multiply(X2,X1))) = multiply(X2,multiply(X1,multiply(X1,X2))),
inference(spm,[status(thm)],[c_0_82,c_0_139]) ).
cnf(c_0_144,negated_conjecture,
multiply(a,multiply(b,X1)) = multiply(c,X1),
inference(spm,[status(thm)],[c_0_22,c_0_140]) ).
cnf(c_0_145,hypothesis,
add(multiply(X1,X2),multiply(X2,add(X1,multiply(X2,X1)))) = multiply(X1,multiply(X2,X2)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_25]),c_0_129]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_12]) ).
cnf(c_0_146,hypothesis,
multiply(X1,multiply(X2,multiply(X2,multiply(X1,X2)))) = multiply(X2,multiply(X2,multiply(X1,multiply(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_85]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_82]),c_0_73]),c_0_22]),c_0_22]) ).
cnf(c_0_147,hypothesis,
add(multiply(X1,multiply(X2,multiply(X1,X2))),multiply(X2,X3)) = multiply(X2,add(multiply(X2,multiply(X1,X1)),X3)),
inference(spm,[status(thm)],[c_0_11,c_0_132]) ).
cnf(c_0_148,plain,
add(multiply(X1,multiply(X2,X3)),multiply(X4,multiply(X5,X3))) = multiply(add(multiply(X1,X2),multiply(X4,X5)),X3),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_149,hypothesis,
multiply(c,multiply(b,multiply(b,b))) = c,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_12]),c_0_140]) ).
cnf(c_0_150,negated_conjecture,
multiply(b,multiply(c,multiply(b,b))) = multiply(b,a),
inference(spm,[status(thm)],[c_0_73,c_0_144]) ).
cnf(c_0_151,hypothesis,
multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,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(rw,[status(thm)],[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(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_145,c_0_146]),c_0_22]),c_0_22]),c_0_22]),c_0_147]),c_0_11]),c_0_11]),c_0_112]),c_0_31]),c_0_13]),c_0_148]),c_0_145]),c_0_22]),c_0_22]),c_0_75]),c_0_22]),c_0_22]),c_0_22]),c_0_115]) ).
cnf(c_0_152,hypothesis,
multiply(b,multiply(b,multiply(b,c))) = c,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_149]),c_0_22]),c_0_22]),c_0_22]),c_0_22]),c_0_49]),c_0_22]),c_0_22]),c_0_49]) ).
cnf(c_0_153,negated_conjecture,
multiply(b,a) != c,
prove_commutativity ).
cnf(c_0_154,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_153]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : RNG035-7 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 19:51:23 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 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.EyvHuhxIZx/E---3.1_4761.p
% 32.07/4.62 # Version: 3.1pre001
% 32.07/4.62 # Preprocessing class: FSSSSMSSSSSNFFN.
% 32.07/4.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.07/4.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 32.07/4.62 # Starting new_bool_3 with 300s (1) cores
% 32.07/4.62 # Starting new_bool_1 with 300s (1) cores
% 32.07/4.62 # Starting sh5l with 300s (1) cores
% 32.07/4.62 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4839 completed with status 0
% 32.07/4.62 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 32.07/4.62 # Preprocessing class: FSSSSMSSSSSNFFN.
% 32.07/4.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.07/4.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 32.07/4.62 # No SInE strategy applied
% 32.07/4.62 # Search class: FUUPM-FFSF21-MFFFFFNN
% 32.07/4.62 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.07/4.62 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 32.07/4.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 32.07/4.62 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 32.07/4.62 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 32.07/4.62 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 32.07/4.62 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 4847 completed with status 0
% 32.07/4.62 # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 32.07/4.62 # Preprocessing class: FSSSSMSSSSSNFFN.
% 32.07/4.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.07/4.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 32.07/4.62 # No SInE strategy applied
% 32.07/4.62 # Search class: FUUPM-FFSF21-MFFFFFNN
% 32.07/4.62 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.07/4.62 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 32.07/4.62 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 32.07/4.62 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 32.07/4.62 # Preprocessing time : 0.001 s
% 32.07/4.62
% 32.07/4.62 # Proof found!
% 32.07/4.62 # SZS status Unsatisfiable
% 32.07/4.62 # SZS output start CNFRefutation
% See solution above
% 32.07/4.62 # Parsed axioms : 12
% 32.07/4.62 # Removed by relevancy pruning/SinE : 0
% 32.07/4.62 # Initial clauses : 12
% 32.07/4.62 # Removed in clause preprocessing : 0
% 32.07/4.62 # Initial clauses in saturation : 12
% 32.07/4.62 # Processed clauses : 5163
% 32.07/4.62 # ...of these trivial : 2919
% 32.07/4.62 # ...subsumed : 1690
% 32.07/4.62 # ...remaining for further processing : 554
% 32.07/4.62 # Other redundant clauses eliminated : 0
% 32.07/4.62 # Clauses deleted for lack of memory : 0
% 32.07/4.62 # Backward-subsumed : 1
% 32.07/4.62 # Backward-rewritten : 146
% 32.07/4.62 # Generated clauses : 222270
% 32.07/4.62 # ...of the previous two non-redundant : 160098
% 32.07/4.62 # ...aggressively subsumed : 0
% 32.07/4.62 # Contextual simplify-reflections : 0
% 32.07/4.62 # Paramodulations : 222270
% 32.07/4.62 # Factorizations : 0
% 32.07/4.62 # NegExts : 0
% 32.07/4.62 # Equation resolutions : 0
% 32.07/4.62 # Total rewrite steps : 895417
% 32.07/4.62 # Propositional unsat checks : 0
% 32.07/4.62 # Propositional check models : 0
% 32.07/4.62 # Propositional check unsatisfiable : 0
% 32.07/4.62 # Propositional clauses : 0
% 32.07/4.62 # Propositional clauses after purity: 0
% 32.07/4.62 # Propositional unsat core size : 0
% 32.07/4.62 # Propositional preprocessing time : 0.000
% 32.07/4.62 # Propositional encoding time : 0.000
% 32.07/4.62 # Propositional solver time : 0.000
% 32.07/4.62 # Success case prop preproc time : 0.000
% 32.07/4.62 # Success case prop encoding time : 0.000
% 32.07/4.62 # Success case prop solver time : 0.000
% 32.07/4.62 # Current number of processed clauses : 407
% 32.07/4.62 # Positive orientable unit clauses : 386
% 32.07/4.62 # Positive unorientable unit clauses: 20
% 32.07/4.62 # Negative unit clauses : 1
% 32.07/4.62 # Non-unit-clauses : 0
% 32.07/4.62 # Current number of unprocessed clauses: 154227
% 32.07/4.62 # ...number of literals in the above : 154227
% 32.07/4.62 # Current number of archived formulas : 0
% 32.07/4.62 # Current number of archived clauses : 147
% 32.07/4.62 # Clause-clause subsumption calls (NU) : 0
% 32.07/4.62 # Rec. Clause-clause subsumption calls : 0
% 32.07/4.62 # Non-unit clause-clause subsumptions : 0
% 32.07/4.62 # Unit Clause-clause subsumption calls : 1335
% 32.07/4.62 # Rewrite failures with RHS unbound : 0
% 32.07/4.62 # BW rewrite match attempts : 22210
% 32.07/4.62 # BW rewrite match successes : 406
% 32.07/4.62 # Condensation attempts : 5163
% 32.07/4.62 # Condensation successes : 0
% 32.07/4.62 # Termbank termtop insertions : 5619215
% 32.07/4.62
% 32.07/4.62 # -------------------------------------------------
% 32.07/4.62 # User time : 3.721 s
% 32.07/4.62 # System time : 0.178 s
% 32.07/4.62 # Total time : 3.899 s
% 32.07/4.62 # Maximum resident set size: 1564 pages
% 32.07/4.62
% 32.07/4.62 # -------------------------------------------------
% 32.07/4.62 # User time : 18.945 s
% 32.07/4.62 # System time : 0.889 s
% 32.07/4.62 # Total time : 19.834 s
% 32.07/4.62 # Maximum resident set size: 1672 pages
% 32.07/4.62 % E---3.1 exiting
%------------------------------------------------------------------------------