TSTP Solution File: GRP654+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP654+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 17:42:34 EDT 2023
% Result : Theorem 131.61s 17.27s
% Output : CNFRefutation 131.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of formulae : 166 ( 157 unt; 0 def)
% Number of atoms : 175 ( 174 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 7 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 372 ( 0 sgn; 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.E1VKtuzvVK/E---3.1_4278.p',f04) ).
fof(f05,axiom,
! [X3,X1,X2] : mult(X2,mult(X1,mult(X2,X3))) = mult(mult(mult(X2,X1),X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.E1VKtuzvVK/E---3.1_4278.p',f05) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.E1VKtuzvVK/E---3.1_4278.p',f01) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.E1VKtuzvVK/E---3.1_4278.p',f03) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.E1VKtuzvVK/E---3.1_4278.p',f02) ).
fof(goals,conjecture,
? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
file('/export/starexec/sandbox2/tmp/tmp.E1VKtuzvVK/E---3.1_4278.p',goals) ).
fof(c_0_6,plain,
! [X12,X13] : rd(mult(X13,X12),X12) = X13,
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_7,plain,
! [X14,X15,X16] : mult(X16,mult(X15,mult(X16,X14))) = mult(mult(mult(X16,X15),X16),X14),
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_8,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X6,X7] : mult(X7,ld(X7,X6)) = X6,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_11,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X10,X11] : mult(rd(X11,X10),X10) = X11,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_14,plain,
rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_17,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(mult(X1,rd(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_18,plain,
! [X8,X9] : ld(X9,mult(X9,X8)) = X8,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_19,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_22,plain,
mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_23,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_24,plain,
ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_26,plain,
ld(ld(X1,rd(X1,X1)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
rd(rd(X1,X2),rd(X1,X2)) = mult(rd(X1,X2),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_28,plain,
ld(X1,mult(mult(X2,X1),ld(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_29,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20]) ).
cnf(c_0_30,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_31,plain,
mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_32,plain,
mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_33,plain,
ld(X1,mult(mult(X1,X1),X2)) = mult(rd(X1,X1),mult(X1,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_30,c_0_31]),c_0_29]),c_0_16]),c_0_29]),c_0_16]),c_0_32]) ).
cnf(c_0_34,plain,
mult(ld(X1,X1),X2) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_20]),c_0_12]) ).
cnf(c_0_35,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_34]),c_0_8]) ).
cnf(c_0_36,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_37,plain,
mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_38,plain,
mult(rd(X1,X1),mult(X1,X2)) = mult(X1,mult(rd(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_29]),c_0_29]),c_0_15]) ).
cnf(c_0_39,plain,
mult(rd(rd(X1,X1),X1),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_40,plain,
rd(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_41,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_42,plain,
rd(rd(X1,X1),rd(ld(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_31]) ).
cnf(c_0_43,plain,
mult(rd(X1,X1),ld(X1,X2)) = ld(X1,mult(rd(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(spm,[status(thm)],[c_0_38,c_0_39]),c_0_27]),c_0_40]),c_0_15]),c_0_27]),c_0_40]),c_0_15]),c_0_39]) ).
cnf(c_0_44,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(X1,mult(X2,rd(X1,X1))),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_45,plain,
rd(rd(X1,X1),rd(rd(X1,X1),X1)) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_46,plain,
mult(rd(X1,X1),rd(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_15]),c_0_35]) ).
cnf(c_0_47,plain,
mult(mult(X1,X1),rd(rd(X1,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_29]),c_0_40]),c_0_27]),c_0_40]),c_0_15]),c_0_46]),c_0_29]),c_0_40]),c_0_36]) ).
cnf(c_0_48,plain,
rd(rd(X1,X1),X1) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_20,c_0_47]) ).
cnf(c_0_49,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(mult(X2,X1),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_50,plain,
mult(ld(mult(X1,X1),X1),X2) = ld(X1,X2),
inference(rw,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_51,plain,
mult(mult(X1,X1),rd(ld(X1,X2),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(spm,[status(thm)],[c_0_44,c_0_42]),c_0_29]),c_0_16]),c_0_27]),c_0_16]),c_0_32]),c_0_35]),c_0_46]),c_0_29]),c_0_16]),c_0_36]) ).
cnf(c_0_52,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_15]) ).
cnf(c_0_53,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_54,plain,
mult(ld(X1,X2),ld(mult(X1,X1),X1)) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_50]),c_0_50]),c_0_41]),c_0_8]),c_0_50]) ).
cnf(c_0_55,plain,
rd(X1,rd(ld(X1,X2),X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_8,c_0_51]) ).
cnf(c_0_56,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_52]),c_0_35]) ).
cnf(c_0_57,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_8,c_0_53]) ).
cnf(c_0_58,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(mult(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_59,plain,
rd(X1,rd(X2,mult(X1,X2))) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
cnf(c_0_60,plain,
mult(mult(rd(X1,X2),X3),rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X3,X1)),X2),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_61,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_36]) ).
cnf(c_0_62,plain,
mult(X1,rd(ld(X1,X2),mult(X1,X3))) = rd(rd(X2,X3),X1),
inference(spm,[status(thm)],[c_0_57,c_0_12]) ).
cnf(c_0_63,plain,
mult(X1,mult(X2,ld(mult(X1,X1),X1))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_12,c_0_58]) ).
cnf(c_0_64,plain,
ld(X1,rd(ld(X1,X2),X2)) = rd(rd(ld(X1,X2),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_32]),c_0_16]),c_0_32]) ).
fof(c_0_65,negated_conjecture,
~ ? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_66,plain,
mult(ld(X1,X2),rd(ld(X1,X3),X3)) = rd(ld(X1,mult(X2,ld(X1,X3))),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_32]),c_0_32]) ).
cnf(c_0_67,plain,
rd(ld(X1,X2),X2) = rd(ld(X1,X3),X3),
inference(spm,[status(thm)],[c_0_8,c_0_32]) ).
cnf(c_0_68,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_61]) ).
cnf(c_0_69,plain,
ld(X1,rd(rd(X2,X3),X1)) = rd(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_20,c_0_62]) ).
cnf(c_0_70,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_71,plain,
rd(ld(X1,X2),rd(ld(X1,X3),X3)) = ld(X1,mult(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(spm,[status(thm)],[c_0_32,c_0_63]),c_0_32]),c_0_32]),c_0_64]),c_0_29]),c_0_55]),c_0_51]) ).
fof(c_0_72,negated_conjecture,
! [X17] :
( mult(esk1_1(X17),X17) != esk1_1(X17)
| mult(X17,esk2_1(X17)) != esk2_1(X17) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
cnf(c_0_73,plain,
mult(ld(X1,X2),rd(ld(X1,X3),X3)) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_41]),c_0_8]) ).
cnf(c_0_74,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_29,c_0_8]) ).
cnf(c_0_75,plain,
ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_76,plain,
rd(rd(X1,X1),X1) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_77,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_78,plain,
rd(ld(X1,X2),mult(X1,rd(X2,X2))) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_69,c_0_40]) ).
cnf(c_0_79,plain,
mult(rd(X1,X2),rd(mult(rd(X2,X1),X3),mult(rd(X1,X2),X4))) = rd(rd(X3,X4),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_57,c_0_70]) ).
cnf(c_0_80,plain,
rd(mult(rd(X1,X2),X3),rd(X1,X2)) = mult(rd(X1,X2),mult(X3,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_29]),c_0_29]),c_0_8]),c_0_29]) ).
cnf(c_0_81,negated_conjecture,
( mult(esk1_1(X1),X1) != esk1_1(X1)
| mult(X1,esk2_1(X1)) != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
rd(ld(X1,mult(X2,X3)),mult(X1,X3)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_69,c_0_8]) ).
cnf(c_0_83,plain,
mult(X1,rd(rd(ld(X2,X3),X3),X2)) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_73]),c_0_69]),c_0_62]),c_0_64]) ).
cnf(c_0_84,plain,
mult(rd(rd(ld(X1,X2),X2),X1),X3) = ld(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_74,c_0_51]) ).
cnf(c_0_85,plain,
mult(rd(ld(X1,X2),mult(X1,X3)),X4) = ld(mult(mult(X1,rd(X3,X2)),X1),X4),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_86,plain,
ld(X1,rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_87,plain,
rd(rd(X1,X1),mult(X1,X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_56]) ).
cnf(c_0_88,plain,
mult(ld(X1,X2),rd(X3,mult(X1,X3))) = rd(ld(X1,mult(X2,X3)),mult(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_74]),c_0_74]) ).
cnf(c_0_89,plain,
rd(mult(rd(X1,X2),mult(rd(X2,X3),X1)),X2) = rd(X1,mult(rd(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_60]),c_0_29]) ).
cnf(c_0_90,plain,
rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_24,c_0_24]) ).
cnf(c_0_91,plain,
rd(X1,rd(rd(X1,X1),rd(X2,X2))) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_20]),c_0_80]),c_0_20]) ).
cnf(c_0_92,negated_conjecture,
( mult(X1,mult(X2,mult(X1,esk2_1(mult(mult(X1,X2),X1))))) != esk2_1(mult(mult(X1,X2),X1))
| mult(esk1_1(mult(mult(X1,X2),X1)),mult(mult(X1,X2),X1)) != esk1_1(mult(mult(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_9]) ).
cnf(c_0_93,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_94,plain,
mult(mult(X1,rd(ld(X1,X2),X3)),X1) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_95,plain,
mult(X1,rd(X2,rd(ld(X1,X3),X3))) = mult(mult(X1,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(spm,[status(thm)],[c_0_82,c_0_32]),c_0_29]),c_0_16]),c_0_17]),c_0_8]),c_0_29]),c_0_16]) ).
cnf(c_0_96,plain,
ld(X1,mult(mult(X2,X1),rd(X1,X1))) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_97,plain,
mult(mult(rd(rd(X1,X2),X2),X1),X3) = mult(X1,ld(mult(X2,X2),mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_83]),c_0_84]) ).
cnf(c_0_98,plain,
ld(X1,ld(X2,ld(X1,X3))) = ld(mult(mult(X1,X2),X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_69]),c_0_85]),c_0_40]) ).
cnf(c_0_99,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(rd(X1,X1),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_100,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3) = mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_101,plain,
ld(mult(X1,X1),X1) = rd(ld(X1,X2),X2),
inference(rw,[status(thm)],[c_0_76,c_0_48]) ).
cnf(c_0_102,plain,
ld(X1,rd(X1,X1)) = ld(mult(X1,X1),X1),
inference(rw,[status(thm)],[c_0_86,c_0_48]) ).
cnf(c_0_103,plain,
ld(ld(mult(X1,X1),X1),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_48]),c_0_40]) ).
cnf(c_0_104,plain,
ld(X1,ld(mult(X1,X1),X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_48]),c_0_35]),c_0_87]) ).
cnf(c_0_105,plain,
mult(X1,rd(X2,rd(X3,mult(X1,X3)))) = mult(mult(X1,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(spm,[status(thm)],[c_0_82,c_0_74]),c_0_29]),c_0_8]),c_0_17]),c_0_8]),c_0_29]),c_0_8]) ).
cnf(c_0_106,plain,
ld(X1,rd(X2,mult(X1,X2))) = rd(rd(X2,mult(X1,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_74]),c_0_16]),c_0_74]) ).
cnf(c_0_107,plain,
mult(rd(X1,X1),rd(X2,mult(X1,X2))) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_35]),c_0_20]) ).
cnf(c_0_108,plain,
mult(mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)),X4) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_109,plain,
rd(mult(rd(X1,X2),ld(X3,X1)),X2) = rd(X1,mult(rd(X2,X1),mult(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_74]) ).
cnf(c_0_110,plain,
rd(mult(rd(X1,X2),mult(rd(X3,X4),X1)),X2) = rd(mult(rd(X1,X2),X3),mult(rd(X2,X1),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_29]),c_0_60]) ).
cnf(c_0_111,plain,
mult(mult(X1,rd(X2,X2)),rd(rd(X1,X1),rd(X2,X2))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_91]) ).
cnf(c_0_112,negated_conjecture,
( mult(X1,mult(mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3))),mult(X1,esk2_1(mult(X3,X1))))) != esk2_1(mult(X3,X1))
| mult(esk1_1(mult(X3,X1)),mult(X3,X1)) != esk1_1(mult(X3,X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_113,plain,
mult(X1,rd(rd(X1,X1),X1)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_31,c_0_35]) ).
cnf(c_0_114,plain,
rd(X1,rd(rd(ld(X2,X3),X3),X2)) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_12]),c_0_64]) ).
cnf(c_0_115,plain,
mult(ld(X1,rd(rd(X1,X2),X2)),X1) = ld(mult(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_36]),c_0_20]) ).
cnf(c_0_116,plain,
mult(X1,mult(X1,mult(rd(X1,X1),X2))) = mult(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_36]),c_0_38]) ).
cnf(c_0_117,plain,
ld(mult(mult(X1,X2),X1),ld(X2,X3)) = ld(X1,ld(mult(mult(X2,X1),X2),X3)),
inference(spm,[status(thm)],[c_0_98,c_0_98]) ).
cnf(c_0_118,plain,
ld(X1,ld(X2,rd(X1,X1))) = ld(mult(mult(X1,X2),X1),X1),
inference(spm,[status(thm)],[c_0_98,c_0_35]) ).
cnf(c_0_119,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[c_0_99,c_0_87]) ).
cnf(c_0_120,plain,
mult(mult(X1,mult(X1,X1)),X2) = mult(X1,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_36]),c_0_38]),c_0_15]) ).
cnf(c_0_121,plain,
rd(ld(mult(X1,X1),X1),rd(X1,X1)) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_122,plain,
rd(ld(mult(X1,X1),X1),X1) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_103]),c_0_8]),c_0_50]),c_0_104]) ).
cnf(c_0_123,plain,
rd(X1,rd(rd(X2,mult(X3,X2)),X3)) = mult(mult(X1,X3),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_105]),c_0_12]),c_0_106]) ).
cnf(c_0_124,plain,
mult(rd(X1,X1),rd(ld(X1,X2),X2)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_107,c_0_12]) ).
cnf(c_0_125,plain,
mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,rd(mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)),mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)))))))))) = mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_36,c_0_108]) ).
cnf(c_0_126,plain,
mult(rd(X1,X2),mult(mult(X3,rd(X2,X1)),mult(rd(X2,X1),rd(X1,X2)))) = mult(mult(rd(X1,X2),X3),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_49]),c_0_27]),c_0_29]) ).
cnf(c_0_127,plain,
mult(rd(X1,X2),mult(mult(X3,rd(X2,X1)),X1)) = mult(mult(rd(X1,X2),X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_15]),c_0_29]),c_0_29]) ).
cnf(c_0_128,plain,
mult(rd(mult(rd(X1,X2),mult(X3,X1)),X2),X4) = mult(rd(X1,X2),mult(X3,mult(rd(X1,X2),X4))),
inference(spm,[status(thm)],[c_0_9,c_0_60]) ).
cnf(c_0_129,plain,
rd(mult(rd(X1,X2),X3),mult(rd(X2,X1),X4)) = rd(X1,mult(rd(X2,X1),mult(rd(X4,X3),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_29]),c_0_110]) ).
cnf(c_0_130,plain,
mult(rd(X1,X2),rd(X2,mult(rd(X1,X2),X3))) = rd(rd(X1,X3),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_57,c_0_15]) ).
cnf(c_0_131,plain,
rd(X1,mult(rd(X2,X3),X1)) = rd(X3,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_20]) ).
cnf(c_0_132,plain,
rd(rd(X1,X1),rd(X2,X2)) = ld(mult(X1,rd(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_20,c_0_111]) ).
cnf(c_0_133,plain,
mult(mult(X1,rd(X2,X3)),mult(rd(X3,X2),X4)) = mult(rd(X2,X3),mult(mult(rd(X3,X2),X1),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_29]) ).
cnf(c_0_134,plain,
ld(ld(X1,X2),ld(X1,mult(mult(X2,X1),X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_135,negated_conjecture,
( ld(X1,mult(mult(X2,ld(X1,ld(mult(ld(X1,X2),rd(rd(X1,X1),X1)),X1))),ld(X1,esk2_1(rd(X1,X1))))) != esk2_1(rd(X1,X1))
| mult(esk1_1(rd(X1,X1)),rd(X1,X1)) != esk1_1(rd(X1,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_136,plain,
mult(X1,rd(X2,rd(rd(X1,X3),X3))) = rd(mult(mult(mult(X1,X2),X3),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_114]),c_0_83]) ).
cnf(c_0_137,plain,
ld(X1,rd(rd(X1,X2),X2)) = rd(ld(mult(X2,X2),X1),X1),
inference(spm,[status(thm)],[c_0_8,c_0_115]) ).
cnf(c_0_138,plain,
mult(mult(X1,X1),mult(X1,X2)) = mult(X1,mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_38]),c_0_116]) ).
cnf(c_0_139,plain,
ld(mult(X1,X1),mult(rd(X1,X1),X2)) = ld(X1,ld(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_36]),c_0_29]),c_0_15]),c_0_36]) ).
cnf(c_0_140,plain,
rd(ld(X1,ld(X2,X3)),mult(X1,X3)) = rd(X3,mult(X1,mult(X2,mult(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_90]),c_0_74]),c_0_8]) ).
cnf(c_0_141,plain,
mult(rd(X1,mult(X1,mult(X1,X1))),X2) = ld(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_52]),c_0_87]) ).
cnf(c_0_142,plain,
ld(X1,rd(X1,mult(X1,mult(X1,X1)))) = ld(mult(X1,mult(X1,mult(X1,X1))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_143,plain,
rd(X1,rd(X2,mult(X2,mult(X2,X2)))) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_102]),c_0_121]),c_0_122]) ).
cnf(c_0_144,plain,
mult(mult(X1,rd(X2,X2)),rd(X2,X2)) = rd(X1,rd(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_123,c_0_124]),c_0_27]),c_0_16]),c_0_32]),c_0_35]),c_0_27]),c_0_46]) ).
cnf(c_0_145,plain,
mult(mult(rd(X1,X1),X2),X2) = mult(rd(X1,X1),mult(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(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_125,c_0_126]),c_0_60]),c_0_60]),c_0_127]),c_0_8]),c_0_128]),c_0_70]),c_0_60]),c_0_60]),c_0_127]),c_0_8]),c_0_128]),c_0_70]),c_0_129]),c_0_56]),c_0_130]),c_0_131]),c_0_132]),c_0_12]),c_0_70]),c_0_133]),c_0_70]),c_0_60]),c_0_60]),c_0_127]),c_0_8]),c_0_128]),c_0_70]) ).
cnf(c_0_146,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_134,c_0_12]) ).
cnf(c_0_147,negated_conjecture,
( mult(ld(X1,rd(mult(X2,ld(X1,ld(mult(ld(X1,X2),ld(mult(X1,X1),X1)),X1))),X1)),esk2_1(rd(X1,X1))) != esk2_1(rd(X1,X1))
| mult(esk1_1(rd(X1,X1)),rd(X1,X1)) != esk1_1(rd(X1,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_41]),c_0_48]) ).
cnf(c_0_148,plain,
rd(X1,rd(ld(mult(X2,X2),X3),X3)) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_136]),c_0_12]),c_0_15]),c_0_137]) ).
cnf(c_0_149,plain,
mult(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(X1,mult(mult(X1,X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_120]),c_0_138]) ).
cnf(c_0_150,plain,
mult(X1,mult(X2,ld(mult(mult(X2,X1),X2),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_20,c_0_93]) ).
cnf(c_0_151,plain,
ld(mult(X1,X1),rd(ld(X1,X2),X2)) = rd(X2,mult(X1,mult(X1,mult(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_124]),c_0_64]),c_0_69]),c_0_140]) ).
cnf(c_0_152,plain,
ld(mult(X1,X1),ld(mult(X1,X1),X1)) = ld(mult(X1,mult(X1,mult(X1,X1))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_104]),c_0_141]),c_0_122]),c_0_142]) ).
cnf(c_0_153,plain,
mult(mult(mult(X1,X2),X2),rd(X2,mult(X2,mult(X2,X2)))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_143]) ).
cnf(c_0_154,plain,
ld(mult(X1,rd(X2,X2)),X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_46]),c_0_144]),c_0_132]),c_0_8]) ).
cnf(c_0_155,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(X1,ld(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_35,c_0_146]) ).
cnf(c_0_156,negated_conjecture,
( mult(mult(mult(X1,X1),mult(ld(mult(X1,mult(X1,mult(X1,X1))),X1),X1)),esk2_1(rd(X1,X1))) != esk2_1(rd(X1,X1))
| mult(esk1_1(rd(X1,X1)),rd(X1,X1)) != esk1_1(rd(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(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_147,c_0_148]),c_0_29]),c_0_16]),c_0_32]),c_0_64]),c_0_29]),c_0_55]),c_0_138]),c_0_68]),c_0_149]),c_0_31]),c_0_56]),c_0_36]),c_0_29]),c_0_16]),c_0_150]),c_0_64]),c_0_148]),c_0_84]),c_0_138]),c_0_68]),c_0_29]),c_0_16]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]) ).
cnf(c_0_157,plain,
ld(mult(X1,mult(X1,mult(X1,X1))),X1) = rd(X1,mult(X1,mult(X1,mult(X1,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_35]),c_0_48]),c_0_152]) ).
cnf(c_0_158,plain,
mult(rd(X1,mult(X2,mult(X3,mult(X2,X1)))),X4) = ld(mult(mult(X2,X3),X2),X4),
inference(spm,[status(thm)],[c_0_29,c_0_11]) ).
cnf(c_0_159,plain,
ld(mult(X1,mult(X1,X1)),X1) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_102]),c_0_68]),c_0_104]) ).
cnf(c_0_160,plain,
mult(mult(X1,X2),rd(X2,mult(X2,mult(X2,X2)))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_153,c_0_15]) ).
cnf(c_0_161,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_154]),c_0_40]) ).
cnf(c_0_162,plain,
mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_15,c_0_155]) ).
cnf(c_0_163,negated_conjecture,
mult(rd(X1,X1),esk2_1(rd(X1,X1))) != esk2_1(rd(X1,X1)),
inference(cn,[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)],[c_0_156,c_0_157]),c_0_158]),c_0_68]),c_0_159]),c_0_160]),c_0_161])]) ).
cnf(c_0_164,plain,
mult(rd(X1,X1),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_162,c_0_161]),c_0_35]),c_0_161]),c_0_29]),c_0_70]),c_0_29]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GRP654+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : run_E %s %d THM
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 2400
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Oct 3 02:34:42 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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.E1VKtuzvVK/E---3.1_4278.p
% 131.61/17.27 # Version: 3.1pre001
% 131.61/17.27 # Preprocessing class: FSSSSMSSSSSNFFN.
% 131.61/17.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 131.61/17.27 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 131.61/17.27 # Starting new_bool_3 with 300s (1) cores
% 131.61/17.27 # Starting new_bool_1 with 300s (1) cores
% 131.61/17.27 # Starting sh5l with 300s (1) cores
% 131.61/17.27 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 4356 completed with status 0
% 131.61/17.27 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 131.61/17.27 # Preprocessing class: FSSSSMSSSSSNFFN.
% 131.61/17.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 131.61/17.27 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 131.61/17.27 # No SInE strategy applied
% 131.61/17.27 # Search class: FUHPM-FFSF21-MFFFFFNN
% 131.61/17.27 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 131.61/17.27 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 811s (1) cores
% 131.61/17.27 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 131.61/17.27 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 136s (1) cores
% 131.61/17.27 # Starting new_bool_3 with 136s (1) cores
% 131.61/17.27 # Starting new_bool_1 with 136s (1) cores
% 131.61/17.27 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 4364 completed with status 0
% 131.61/17.27 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 131.61/17.27 # Preprocessing class: FSSSSMSSSSSNFFN.
% 131.61/17.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 131.61/17.27 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 131.61/17.27 # No SInE strategy applied
% 131.61/17.27 # Search class: FUHPM-FFSF21-MFFFFFNN
% 131.61/17.27 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 131.61/17.27 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 811s (1) cores
% 131.61/17.27 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 131.61/17.27 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 136s (1) cores
% 131.61/17.27 # Preprocessing time : 0.001 s
% 131.61/17.27 # Presaturation interreduction done
% 131.61/17.27
% 131.61/17.27 # Proof found!
% 131.61/17.27 # SZS status Theorem
% 131.61/17.27 # SZS output start CNFRefutation
% See solution above
% 131.61/17.27 # Parsed axioms : 6
% 131.61/17.27 # Removed by relevancy pruning/SinE : 0
% 131.61/17.27 # Initial clauses : 6
% 131.61/17.27 # Removed in clause preprocessing : 0
% 131.61/17.27 # Initial clauses in saturation : 6
% 131.61/17.27 # Processed clauses : 7606
% 131.61/17.27 # ...of these trivial : 1640
% 131.61/17.27 # ...subsumed : 4752
% 131.61/17.27 # ...remaining for further processing : 1214
% 131.61/17.27 # Other redundant clauses eliminated : 0
% 131.61/17.27 # Clauses deleted for lack of memory : 0
% 131.61/17.27 # Backward-subsumed : 0
% 131.61/17.27 # Backward-rewritten : 528
% 131.61/17.27 # Generated clauses : 535536
% 131.61/17.27 # ...of the previous two non-redundant : 478177
% 131.61/17.27 # ...aggressively subsumed : 0
% 131.61/17.27 # Contextual simplify-reflections : 0
% 131.61/17.27 # Paramodulations : 535536
% 131.61/17.27 # Factorizations : 0
% 131.61/17.27 # NegExts : 0
% 131.61/17.27 # Equation resolutions : 0
% 131.61/17.27 # Total rewrite steps : 1930734
% 131.61/17.27 # Propositional unsat checks : 0
% 131.61/17.27 # Propositional check models : 0
% 131.61/17.27 # Propositional check unsatisfiable : 0
% 131.61/17.27 # Propositional clauses : 0
% 131.61/17.27 # Propositional clauses after purity: 0
% 131.61/17.27 # Propositional unsat core size : 0
% 131.61/17.27 # Propositional preprocessing time : 0.000
% 131.61/17.27 # Propositional encoding time : 0.000
% 131.61/17.27 # Propositional solver time : 0.000
% 131.61/17.27 # Success case prop preproc time : 0.000
% 131.61/17.27 # Success case prop encoding time : 0.000
% 131.61/17.27 # Success case prop solver time : 0.000
% 131.61/17.27 # Current number of processed clauses : 680
% 131.61/17.27 # Positive orientable unit clauses : 493
% 131.61/17.27 # Positive unorientable unit clauses: 35
% 131.61/17.27 # Negative unit clauses : 0
% 131.61/17.27 # Non-unit-clauses : 152
% 131.61/17.27 # Current number of unprocessed clauses: 469088
% 131.61/17.27 # ...number of literals in the above : 512888
% 131.61/17.27 # Current number of archived formulas : 0
% 131.61/17.27 # Current number of archived clauses : 534
% 131.61/17.27 # Clause-clause subsumption calls (NU) : 75297
% 131.61/17.27 # Rec. Clause-clause subsumption calls : 57537
% 131.61/17.27 # Non-unit clause-clause subsumptions : 2741
% 131.61/17.27 # Unit Clause-clause subsumption calls : 2372
% 131.61/17.27 # Rewrite failures with RHS unbound : 2172
% 131.61/17.27 # BW rewrite match attempts : 10972
% 131.61/17.27 # BW rewrite match successes : 771
% 131.61/17.27 # Condensation attempts : 0
% 131.61/17.27 # Condensation successes : 0
% 131.61/17.27 # Termbank termtop insertions : 20539470
% 131.61/17.27
% 131.61/17.27 # -------------------------------------------------
% 131.61/17.27 # User time : 15.980 s
% 131.61/17.27 # System time : 0.574 s
% 131.61/17.27 # Total time : 16.554 s
% 131.61/17.27 # Maximum resident set size: 1712 pages
% 131.61/17.27
% 131.61/17.27 # -------------------------------------------------
% 131.61/17.27 # User time : 79.968 s
% 131.61/17.27 # System time : 1.614 s
% 131.61/17.27 # Total time : 81.582 s
% 131.61/17.27 # Maximum resident set size: 1672 pages
% 131.61/17.27 % E---3.1 exiting
% 131.61/17.27 % E---3.1 exiting
%------------------------------------------------------------------------------