TSTP Solution File: GRP654-10 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP654-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 17:49:53 EDT 2023
% Result : Unsatisfiable 69.44s 9.35s
% Output : CNFRefutation 69.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 6
% Syntax : Number of clauses : 204 ( 204 unt; 0 nHn; 3 RR)
% Number of literals : 204 ( 203 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 444 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.MiYwYmrwQU/E---3.1_31264.p',f04) ).
cnf(f05,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
file('/export/starexec/sandbox/tmp/tmp.MiYwYmrwQU/E---3.1_31264.p',f05) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/tmp/tmp.MiYwYmrwQU/E---3.1_31264.p',f03) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.MiYwYmrwQU/E---3.1_31264.p',f02) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox/tmp/tmp.MiYwYmrwQU/E---3.1_31264.p',f01) ).
cnf(goal,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
file('/export/starexec/sandbox/tmp/tmp.MiYwYmrwQU/E---3.1_31264.p',goal) ).
cnf(c_0_6,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_7,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
f05 ).
cnf(c_0_8,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_10,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_10]) ).
cnf(c_0_12,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_13,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_11,c_0_6]) ).
cnf(c_0_14,plain,
ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
mult(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_16,plain,
mult(ld(X1,rd(X1,X1)),mult(X1,X2)) = X2,
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,plain,
mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_7,c_0_15]) ).
cnf(c_0_18,plain,
mult(rd(X1,mult(X2,X1)),mult(X2,X3)) = X3,
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_19,plain,
ld(X1,mult(mult(X2,X1),X3)) = mult(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_20,plain,
mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_21,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_22,plain,
mult(ld(X1,rd(X2,X1)),mult(X1,X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
cnf(c_0_23,plain,
rd(rd(X1,X1),rd(ld(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_20]) ).
cnf(c_0_24,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_25,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_15]) ).
cnf(c_0_26,plain,
mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_27,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_28,plain,
mult(X1,mult(rd(X1,X1),X2)) = mult(X1,mult(ld(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(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_24]),c_0_25]) ).
cnf(c_0_29,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
cnf(c_0_30,plain,
mult(rd(X1,X1),X2) = mult(ld(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_12]) ).
cnf(c_0_31,plain,
mult(X1,mult(X2,ld(mult(mult(X2,X1),X2),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_12,c_0_29]) ).
cnf(c_0_32,plain,
rd(X1,X1) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_30]),c_0_6]) ).
cnf(c_0_33,plain,
mult(X1,ld(mult(mult(X1,X2),X1),X3)) = ld(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_31]) ).
cnf(c_0_34,plain,
ld(ld(X1,X1),X2) = mult(ld(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_32]) ).
cnf(c_0_35,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_33,c_0_15]) ).
cnf(c_0_36,plain,
mult(ld(X1,X1),ld(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,plain,
mult(X1,ld(mult(X1,X1),mult(X1,X2))) = mult(ld(X1,X1),X2),
inference(spm,[status(thm)],[c_0_36,c_0_12]) ).
cnf(c_0_38,plain,
ld(X1,mult(ld(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_39,plain,
mult(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_32]) ).
cnf(c_0_40,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,mult(X1,X3)))) = X3,
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_41,plain,
ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_43,plain,
ld(mult(mult(X1,X2),X1),mult(X1,mult(X2,X3))) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_44,plain,
mult(ld(X1,X1),mult(X1,X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_39,c_0_41]) ).
cnf(c_0_45,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_46,plain,
ld(X1,ld(X1,X1)) = rd(ld(X1,X2),X2),
inference(rw,[status(thm)],[c_0_42,c_0_32]) ).
cnf(c_0_47,plain,
ld(X1,ld(X2,ld(X1,X3))) = ld(mult(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_12,c_0_33]) ).
cnf(c_0_48,plain,
ld(mult(mult(X1,X2),X1),mult(X1,X3)) = ld(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_43,c_0_15]) ).
cnf(c_0_49,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_44]) ).
cnf(c_0_50,plain,
mult(ld(X1,rd(X1,X1)),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_51,plain,
mult(ld(mult(mult(X1,X1),X1),X1),X2) = ld(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_12]),c_0_46]),c_0_47]) ).
cnf(c_0_52,plain,
ld(ld(X1,rd(X1,X1)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_14]),c_0_6]) ).
cnf(c_0_53,plain,
ld(mult(X1,mult(X1,X1)),mult(X1,X2)) = ld(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
mult(ld(X1,ld(X1,X1)),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_55,plain,
mult(ld(mult(X1,mult(X1,X1)),X1),X2) = ld(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_56,plain,
ld(ld(X1,ld(X1,X1)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
cnf(c_0_57,plain,
mult(X1,ld(ld(mult(X1,X1),X1),X2)) = mult(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(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_53,c_0_50]),c_0_32]),c_0_32]),c_0_32]),c_0_54]),c_0_47]),c_0_49]),c_0_54]),c_0_35]),c_0_55]),c_0_32]),c_0_52]),c_0_56]) ).
cnf(c_0_58,plain,
rd(ld(X1,mult(X2,X3)),mult(X1,X3)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_6,c_0_22]) ).
cnf(c_0_59,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(mult(X1,rd(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_60,plain,
ld(ld(mult(X1,X1),X1),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_57]),c_0_12]) ).
cnf(c_0_61,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_58,c_0_21]),c_0_24]),c_0_6]),c_0_59]),c_0_6]),c_0_24]),c_0_6]) ).
cnf(c_0_62,plain,
mult(X1,mult(ld(mult(X1,X1),X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_60]) ).
cnf(c_0_63,plain,
mult(X1,mult(X1,ld(mult(X1,X1),X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_60]),c_0_60]),c_0_60]),c_0_6]) ).
cnf(c_0_64,plain,
mult(mult(X1,mult(X2,rd(X3,mult(X1,X3)))),X1) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_6]) ).
cnf(c_0_65,plain,
mult(X1,rd(ld(X1,X2),X2)) = ld(X1,X1),
inference(rw,[status(thm)],[c_0_20,c_0_32]) ).
cnf(c_0_66,plain,
mult(ld(mult(X1,X1),X1),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_62]) ).
cnf(c_0_67,plain,
mult(X1,ld(mult(X1,X1),X1)) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_12,c_0_63]) ).
cnf(c_0_68,plain,
mult(X1,mult(X2,rd(X3,mult(X1,X3)))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_6,c_0_64]) ).
cnf(c_0_69,plain,
rd(X1,mult(X2,X1)) = ld(mult(X2,X2),X2),
inference(spm,[status(thm)],[c_0_25,c_0_60]) ).
cnf(c_0_70,plain,
mult(mult(X1,X1),ld(mult(X1,mult(X1,X1)),X1)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_60]),c_0_6]),c_0_35]) ).
cnf(c_0_71,plain,
ld(X1,ld(X1,X1)) = ld(mult(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_38,c_0_67]),c_0_34]),c_0_36]),c_0_67]),c_0_36]),c_0_67]),c_0_34]),c_0_36]),c_0_67]),c_0_15]) ).
cnf(c_0_72,plain,
mult(X1,ld(mult(X1,mult(X1,X1)),X2)) = ld(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
cnf(c_0_73,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_12]) ).
cnf(c_0_74,plain,
mult(X1,mult(X2,ld(mult(X1,X1),X1))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
mult(ld(X1,X1),ld(mult(X1,X1),X1)) = ld(mult(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_70]),c_0_71]),c_0_72]),c_0_71]) ).
cnf(c_0_76,plain,
ld(mult(X1,X1),ld(X1,X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_73]),c_0_41]) ).
cnf(c_0_77,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(mult(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_12,c_0_74]) ).
cnf(c_0_78,plain,
mult(ld(X1,X1),mult(X1,X2)) = mult(X1,mult(ld(X1,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_33,c_0_75]),c_0_66]),c_0_71]),c_0_60]),c_0_34]),c_0_60]) ).
cnf(c_0_79,plain,
rd(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_68]),c_0_21]),c_0_21]),c_0_25]) ).
cnf(c_0_80,plain,
mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_27,c_0_9]) ).
cnf(c_0_81,plain,
ld(X1,ld(mult(X1,X1),X1)) = ld(mult(X1,mult(X1,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_71]),c_0_49]) ).
cnf(c_0_82,plain,
rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_83,plain,
rd(X1,mult(X1,mult(X1,X1))) = ld(mult(X1,mult(X1,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_70]),c_0_76]) ).
cnf(c_0_84,plain,
mult(mult(X1,X1),mult(ld(mult(X1,X1),X2),X1)) = ld(X1,mult(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_8]),c_0_27]) ).
cnf(c_0_85,plain,
ld(mult(X1,X2),mult(X2,mult(ld(X2,X1),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_12,c_0_27]) ).
cnf(c_0_86,plain,
mult(X1,mult(X1,mult(ld(X1,X1),X2))) = mult(mult(X1,X1),X2),
inference(spm,[status(thm)],[c_0_17,c_0_78]) ).
cnf(c_0_87,plain,
rd(mult(X1,ld(mult(X2,X2),X2)),rd(X3,mult(X2,X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_77]),c_0_9]),c_0_12]) ).
cnf(c_0_88,plain,
rd(ld(X1,X2),X2) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_6,c_0_66]) ).
cnf(c_0_89,plain,
mult(X1,ld(mult(X2,mult(X2,X2)),X2)) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_74]),c_0_15]),c_0_81]) ).
cnf(c_0_90,plain,
ld(mult(X1,mult(X1,X1)),X1) = rd(X2,mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_49]),c_0_83]) ).
cnf(c_0_91,plain,
ld(X1,mult(mult(mult(X1,X1),X2),X1)) = mult(mult(X1,X1),mult(ld(X1,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_92,plain,
rd(mult(X1,rd(ld(X2,X3),X3)),rd(X4,mult(X2,X4))) = X1,
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
mult(X1,rd(X2,mult(mult(X3,X3),X2))) = rd(rd(X1,X3),X3),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
ld(mult(X1,X1),mult(X1,X2)) = mult(X1,ld(mult(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(spm,[status(thm)],[c_0_78,c_0_26]),c_0_24]),c_0_25]),c_0_20]),c_0_32]),c_0_36]),c_0_24]),c_0_25]),c_0_20]),c_0_32]),c_0_26]),c_0_38]) ).
cnf(c_0_95,plain,
mult(X1,mult(mult(X1,X1),mult(ld(X1,X2),X1))) = mult(mult(mult(X1,X1),X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_91]) ).
cnf(c_0_96,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
cnf(c_0_97,plain,
mult(mult(X1,rd(ld(X2,X3),X3)),mult(X2,X4)) = ld(X2,mult(mult(X2,X1),X4)),
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_92]),c_0_24]),c_0_6]),c_0_21]),c_0_24]),c_0_6]) ).
cnf(c_0_98,plain,
mult(X1,rd(ld(mult(X2,X2),X3),X3)) = rd(rd(X1,X2),X2),
inference(spm,[status(thm)],[c_0_93,c_0_15]) ).
cnf(c_0_99,plain,
ld(mult(X1,X1),mult(mult(mult(X1,X1),X2),X1)) = mult(X1,mult(ld(X1,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_12]) ).
cnf(c_0_100,plain,
mult(ld(X1,X1),mult(ld(X1,X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_32]),c_0_32]) ).
cnf(c_0_101,plain,
mult(rd(rd(X1,X2),X2),mult(X2,mult(X2,X2))) = mult(X2,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_49]),c_0_98]),c_0_99]) ).
cnf(c_0_102,plain,
mult(ld(X1,X1),mult(mult(X1,X1),X2)) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_86]),c_0_78]),c_0_100]) ).
cnf(c_0_103,plain,
mult(X1,rd(X2,mult(X1,X2))) = ld(X1,X1),
inference(rw,[status(thm)],[c_0_13,c_0_32]) ).
cnf(c_0_104,plain,
mult(rd(X1,X2),mult(X2,mult(X2,X2))) = mult(X2,mult(ld(X2,mult(X1,X2)),X2)),
inference(spm,[status(thm)],[c_0_101,c_0_6]) ).
cnf(c_0_105,plain,
mult(X1,mult(X1,rd(X2,mult(mult(X1,X1),X2)))) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_94]),c_0_67]),c_0_36]),c_0_67]) ).
cnf(c_0_106,plain,
mult(X1,mult(mult(ld(X1,X2),mult(X1,X1)),X1)) = mult(X2,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_6]),c_0_19]) ).
cnf(c_0_107,plain,
mult(mult(X1,rd(ld(X1,X2),X3)),X1) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_59,c_0_15]) ).
cnf(c_0_108,plain,
mult(X1,rd(X2,mult(mult(X1,X1),X2))) = ld(mult(X1,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_105]),c_0_71]) ).
cnf(c_0_109,plain,
mult(X1,rd(X2,ld(mult(X1,X1),X1))) = mult(mult(X1,X2),X1),
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_66]),c_0_60]),c_0_59]),c_0_6]),c_0_60]) ).
cnf(c_0_110,plain,
mult(mult(X1,X2),mult(X1,mult(X1,X1))) = mult(X1,mult(mult(X2,mult(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_106,c_0_12]) ).
cnf(c_0_111,plain,
mult(ld(X1,X1),mult(X1,mult(X1,X1))) = mult(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_53]),c_0_12]) ).
cnf(c_0_112,plain,
rd(X1,ld(X2,rd(X3,mult(X2,X3)))) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_61]),c_0_15]) ).
cnf(c_0_113,plain,
mult(X1,rd(ld(mult(X1,X1),X2),X2)) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_108,c_0_15]) ).
cnf(c_0_114,plain,
rd(X1,ld(mult(X2,X2),X2)) = ld(X2,mult(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_12,c_0_109]) ).
cnf(c_0_115,plain,
rd(mult(X1,mult(mult(X2,mult(X1,X1)),X1)),mult(X1,mult(X1,X1))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_6,c_0_110]) ).
cnf(c_0_116,plain,
mult(X1,ld(X2,rd(X3,mult(X2,X3)))) = rd(rd(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_68]),c_0_15]) ).
cnf(c_0_117,plain,
ld(ld(mult(X1,mult(X1,X1)),X1),X2) = mult(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_51]),c_0_25]),c_0_49]) ).
cnf(c_0_118,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_17,c_0_111]) ).
cnf(c_0_119,plain,
rd(X1,ld(mult(X2,mult(X2,X2)),X2)) = mult(mult(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_112,c_0_113]),c_0_114]),c_0_113]),c_0_66]),c_0_71]),c_0_81]) ).
cnf(c_0_120,plain,
rd(rd(mult(X1,X2),X1),mult(X2,ld(mult(X1,X1),X1))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_74]) ).
cnf(c_0_121,plain,
rd(mult(X1,mult(X2,X1)),mult(X1,mult(X1,X1))) = mult(X1,rd(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_115,c_0_9]) ).
cnf(c_0_122,plain,
mult(mult(mult(mult(X1,X2),X2),X2),X2) = mult(X1,mult(X2,mult(X2,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(spm,[status(thm)],[c_0_116,c_0_51]),c_0_49]),c_0_25]),c_0_117]),c_0_118]),c_0_49]),c_0_119]),c_0_49]),c_0_119]) ).
cnf(c_0_123,plain,
ld(X1,mult(mult(X1,mult(X2,rd(mult(X1,X2),X1))),X1)) = mult(mult(X2,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_120]),c_0_114]) ).
cnf(c_0_124,plain,
mult(X1,rd(mult(mult(mult(X2,X1),X1),X1),mult(X1,X1))) = mult(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_8]) ).
cnf(c_0_125,plain,
mult(mult(X1,mult(X2,rd(mult(X1,X2),X1))),X1) = mult(X1,mult(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_15,c_0_123]) ).
cnf(c_0_126,plain,
rd(mult(X1,mult(mult(mult(X2,X1),X1),X1)),X1) = mult(X1,mult(X2,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_124]),c_0_7]) ).
cnf(c_0_127,plain,
rd(mult(X1,ld(X2,mult(X1,X2))),X2) = mult(mult(X1,ld(mult(X2,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(spm,[status(thm)],[c_0_74,c_0_125]),c_0_66]),c_0_15]),c_0_66]),c_0_114]),c_0_15]),c_0_66]),c_0_45]),c_0_80]) ).
cnf(c_0_128,plain,
mult(ld(X1,X2),rd(ld(X1,X3),X3)) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_61]),c_0_26]),c_0_26]),c_0_25]) ).
cnf(c_0_129,plain,
rd(mult(X1,mult(mult(X2,X1),X1)),X1) = mult(X1,mult(rd(X2,X1),mult(X1,X1))),
inference(spm,[status(thm)],[c_0_126,c_0_9]) ).
cnf(c_0_130,plain,
ld(X1,rd(ld(mult(X2,X2),X2),X1)) = rd(ld(mult(mult(X1,X2),X1),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_26]),c_0_26]),c_0_47]),c_0_26]),c_0_128]) ).
cnf(c_0_131,plain,
mult(X1,rd(mult(mult(X2,X1),X1),mult(X1,X1))) = mult(mult(X1,rd(X2,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_129]),c_0_8]) ).
cnf(c_0_132,plain,
rd(X1,mult(rd(X2,X3),X1)) = rd(X3,X2),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_133,plain,
mult(mult(X1,mult(X2,mult(X1,X1))),X1) = mult(X1,mult(mult(mult(X2,X1),X1),X1)),
inference(spm,[status(thm)],[c_0_9,c_0_126]) ).
cnf(c_0_134,plain,
mult(X1,rd(rd(X2,X1),mult(X1,X1))) = rd(mult(X1,X2),mult(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_121,c_0_9]) ).
cnf(c_0_135,plain,
mult(X1,rd(ld(mult(mult(X1,X2),X1),X2),X2)) = rd(ld(mult(X2,X2),X2),X1),
inference(spm,[status(thm)],[c_0_15,c_0_130]) ).
cnf(c_0_136,plain,
mult(mult(X1,rd(rd(X2,X1),X1)),X1) = mult(X1,rd(mult(X2,X1),mult(X1,X1))),
inference(spm,[status(thm)],[c_0_131,c_0_9]) ).
cnf(c_0_137,plain,
ld(mult(X1,rd(X2,mult(X1,X3))),X4) = mult(rd(X1,rd(mult(X1,X2),X3)),X4),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_138,plain,
ld(mult(rd(X1,X2),rd(X1,X2)),rd(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_132,c_0_69]) ).
cnf(c_0_139,plain,
mult(X1,mult(mult(mult(ld(X1,X2),X1),X1),X1)) = mult(mult(mult(X2,X1),X1),X1),
inference(spm,[status(thm)],[c_0_133,c_0_17]) ).
cnf(c_0_140,plain,
mult(rd(X1,X2),mult(X2,mult(X2,mult(X2,X2)))) = mult(mult(mult(X1,X2),X2),X2),
inference(spm,[status(thm)],[c_0_122,c_0_9]) ).
cnf(c_0_141,plain,
mult(mult(X1,mult(X1,ld(mult(X2,X1),X2))),X1) = rd(X2,ld(X1,ld(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_32]),c_0_35]) ).
cnf(c_0_142,plain,
mult(rd(mult(X1,X2),mult(X1,mult(X1,X1))),X1) = rd(mult(X1,rd(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_10,c_0_134]) ).
cnf(c_0_143,plain,
mult(X1,rd(X1,rd(mult(X1,mult(X2,X1)),X1))) = rd(rd(X1,rd(X2,X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_6]),c_0_138]) ).
cnf(c_0_144,plain,
mult(mult(mult(ld(X1,X2),X1),X1),X1) = mult(ld(X1,mult(X2,X1)),mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_139]),c_0_19]) ).
cnf(c_0_145,plain,
mult(rd(X1,X2),mult(mult(mult(X2,X1),X1),X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_140]),c_0_24]) ).
cnf(c_0_146,plain,
mult(ld(mult(X1,ld(X2,X2)),X1),ld(X2,X2)) = ld(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(spm,[status(thm)],[c_0_141,c_0_96]),c_0_32]),c_0_32]),c_0_32]),c_0_24]),c_0_32]),c_0_12]),c_0_32]) ).
cnf(c_0_147,plain,
rd(mult(X1,rd(ld(X1,X2),X1)),X1) = mult(rd(X2,mult(X1,mult(X1,X1))),X1),
inference(spm,[status(thm)],[c_0_142,c_0_15]) ).
cnf(c_0_148,plain,
mult(mult(mult(X1,X2),X2),ld(mult(X2,X2),X2)) = mult(rd(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_129]),c_0_12]) ).
cnf(c_0_149,plain,
mult(mult(X1,ld(X2,mult(X1,X1))),X1) = mult(X1,mult(mult(ld(X2,X1),X1),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_26]),c_0_26]) ).
cnf(c_0_150,plain,
mult(X1,ld(mult(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_35]),c_0_59]),c_0_7]),c_0_26]) ).
cnf(c_0_151,plain,
rd(rd(X1,mult(ld(X1,X2),X1)),X1) = mult(X1,rd(X1,mult(mult(X2,X1),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_17]),c_0_6]),c_0_6]) ).
cnf(c_0_152,plain,
mult(rd(X1,rd(X2,X1)),mult(mult(X2,X1),X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_145,c_0_9]) ).
cnf(c_0_153,plain,
rd(ld(X1,X1),ld(X2,X2)) = ld(mult(X1,ld(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_6,c_0_146]) ).
cnf(c_0_154,plain,
mult(mult(rd(X1,mult(X2,mult(X2,X2))),X2),X2) = mult(X2,rd(ld(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_9,c_0_147]) ).
cnf(c_0_155,plain,
mult(X1,mult(rd(X2,mult(X1,X3)),mult(X1,X4))) = mult(rd(mult(X1,X2),X3),X4),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_156,plain,
mult(rd(rd(X1,X2),X2),mult(X2,X2)) = mult(mult(X1,X2),ld(mult(X2,X2),X2)),
inference(spm,[status(thm)],[c_0_148,c_0_9]) ).
cnf(c_0_157,plain,
mult(X1,mult(mult(ld(mult(X2,X1),X1),X1),X1)) = mult(ld(ld(X1,X2),X1),X1),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_158,plain,
mult(mult(X1,rd(X1,mult(mult(X2,X1),X1))),X1) = rd(X1,mult(ld(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_9,c_0_151]) ).
cnf(c_0_159,plain,
ld(X1,mult(X2,mult(X2,mult(X2,X2)))) = mult(mult(mult(ld(X1,X2),X2),X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_26]),c_0_26]) ).
cnf(c_0_160,plain,
rd(ld(X1,X2),X2) = rd(X3,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_6,c_0_21]) ).
cnf(c_0_161,plain,
mult(rd(X1,rd(rd(X2,X1),X1)),mult(X2,X1)) = mult(X1,mult(X1,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_152,c_0_9]) ).
cnf(c_0_162,plain,
rd(X1,mult(ld(mult(X2,ld(X3,X3)),X2),X1)) = ld(mult(X3,ld(X2,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_153]),c_0_153]) ).
cnf(c_0_163,plain,
ld(ld(X1,X2),ld(mult(X1,X1),X1)) = mult(X1,ld(mult(X2,X1),ld(X1,X1))),
inference(spm,[status(thm)],[c_0_150,c_0_67]) ).
cnf(c_0_164,plain,
rd(mult(X1,rd(X2,ld(X1,X1))),X1) = mult(rd(mult(X1,X2),mult(X1,X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_154]),c_0_107]),c_0_6]),c_0_155]) ).
cnf(c_0_165,plain,
mult(mult(X1,rd(X2,mult(X1,X1))),mult(X1,X1)) = mult(X1,mult(X2,ld(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_11]),c_0_7]),c_0_67]) ).
cnf(c_0_166,plain,
ld(X1,mult(ld(ld(X1,X2),X1),X1)) = mult(mult(ld(mult(X2,X1),X1),X1),X1),
inference(spm,[status(thm)],[c_0_12,c_0_157]) ).
cnf(c_0_167,plain,
mult(mult(X1,rd(X2,mult(mult(X3,X1),X2))),X1) = rd(X1,mult(ld(X1,X3),X1)),
inference(spm,[status(thm)],[c_0_158,c_0_82]) ).
cnf(c_0_168,plain,
mult(X1,mult(mult(mult(ld(X1,X2),X2),X2),X2)) = mult(X2,mult(X2,mult(X2,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_159]) ).
cnf(c_0_169,plain,
rd(mult(X1,X2),mult(X2,mult(X2,mult(X2,X2)))) = rd(rd(rd(X1,X2),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_24]),c_0_6]) ).
cnf(c_0_170,plain,
mult(X1,ld(mult(ld(X2,X2),X1),ld(X1,X1))) = ld(mult(X1,ld(X2,X2)),X1),
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_60]),c_0_67]),c_0_162]),c_0_66]),c_0_163]) ).
cnf(c_0_171,plain,
mult(mult(rd(mult(X1,X2),mult(X1,X1)),X1),X1) = mult(X1,rd(X2,ld(X1,X1))),
inference(spm,[status(thm)],[c_0_9,c_0_164]) ).
cnf(c_0_172,plain,
mult(X1,mult(mult(mult(rd(X2,mult(X1,X1)),X1),X1),X1)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_133,c_0_9]) ).
cnf(c_0_173,plain,
mult(mult(X1,mult(X1,mult(X2,ld(X1,X1)))),X1) = mult(X1,mult(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_165]),c_0_10]),c_0_9]) ).
cnf(c_0_174,plain,
rd(mult(X1,rd(mult(X2,X1),mult(X1,X1))),X1) = mult(X1,rd(rd(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_6,c_0_136]) ).
cnf(c_0_175,plain,
mult(mult(ld(mult(mult(X1,X2),X1),X1),X1),X1) = ld(X1,mult(ld(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_166,c_0_12]) ).
cnf(c_0_176,plain,
mult(mult(X1,rd(ld(mult(X2,X1),X3),X3)),X1) = rd(X1,mult(ld(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_6]),c_0_6]) ).
cnf(c_0_177,plain,
ld(mult(ld(X1,X1),X2),ld(X2,X2)) = ld(X2,ld(mult(X2,ld(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_12,c_0_170]) ).
cnf(c_0_178,plain,
mult(X1,rd(ld(X1,X2),ld(X1,X1))) = mult(mult(rd(X2,mult(X1,X1)),X1),X1),
inference(spm,[status(thm)],[c_0_171,c_0_15]) ).
cnf(c_0_179,plain,
mult(mult(mult(rd(X1,mult(X2,X2)),X2),X2),X2) = ld(X2,mult(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_12,c_0_172]) ).
cnf(c_0_180,plain,
mult(mult(X1,ld(mult(X1,ld(X2,X2)),X1)),X1) = rd(X1,ld(X1,ld(X2,X2))),
inference(spm,[status(thm)],[c_0_107,c_0_153]) ).
cnf(c_0_181,plain,
rd(mult(X1,mult(mult(X1,X2),X1)),X1) = mult(X1,mult(X1,mult(X2,ld(X1,X1)))),
inference(spm,[status(thm)],[c_0_6,c_0_173]) ).
cnf(c_0_182,plain,
mult(X1,rd(ld(mult(mult(X1,X2),X1),X1),X1)) = rd(rd(ld(X2,X1),X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_58]),c_0_15]),c_0_6]) ).
cnf(c_0_183,plain,
ld(X1,rd(X1,ld(X1,ld(X2,X2)))) = rd(X1,mult(ld(X1,ld(X2,X2)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]),c_0_179]),c_0_180]) ).
cnf(c_0_184,plain,
ld(X1,ld(ld(X1,X2),X3)) = ld(mult(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_185,plain,
rd(mult(X1,rd(ld(X2,X1),X1)),X1) = mult(X1,ld(X2,ld(mult(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_181,c_0_182]),c_0_9]),c_0_26]),c_0_33]),c_0_71]) ).
cnf(c_0_186,plain,
ld(X1,rd(X1,ld(mult(X2,X1),X2))) = rd(X1,mult(ld(mult(X2,X1),X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_15]),c_0_15]) ).
cnf(c_0_187,plain,
ld(mult(mult(X1,X1),ld(X2,X2)),mult(X1,X1)) = ld(mult(X1,ld(X2,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_94]),c_0_67]),c_0_153]) ).
cnf(c_0_188,plain,
mult(mult(X1,ld(X2,ld(mult(X1,X1),X1))),X1) = mult(X1,rd(ld(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_9,c_0_185]) ).
cnf(c_0_189,plain,
mult(ld(X1,X2),rd(X3,mult(X1,X3))) = ld(X1,rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_61]),c_0_21]),c_0_21]),c_0_25]) ).
cnf(c_0_190,plain,
mult(X1,rd(X1,mult(ld(mult(X2,X1),X2),X1))) = rd(X1,ld(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_15,c_0_186]) ).
cnf(c_0_191,plain,
mult(mult(mult(X1,X1),ld(X2,X2)),ld(mult(X1,ld(X2,X2)),X1)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_15,c_0_187]) ).
cnf(c_0_192,plain,
rd(X1,mult(ld(X2,X2),X1)) = ld(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_32]),c_0_32]) ).
cnf(c_0_193,plain,
mult(ld(X1,ld(mult(X2,mult(X2,X2)),X2)),X2) = rd(rd(ld(X1,X2),X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_33]),c_0_81]),c_0_182]) ).
cnf(c_0_194,plain,
rd(ld(mult(X1,X1),X2),X2) = ld(mult(X1,mult(X1,X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_51]),c_0_49]) ).
cnf(c_0_195,plain,
ld(mult(X1,X2),rd(X1,X2)) = ld(X2,rd(X3,mult(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_189]),c_0_15]) ).
cnf(c_0_196,plain,
rd(ld(mult(X1,ld(X2,X2)),X1),ld(X2,X2)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_12]),c_0_192]),c_0_146]),c_0_12]) ).
cnf(c_0_197,plain,
mult(ld(X1,rd(ld(mult(X2,X2),X3),X3)),X2) = rd(rd(ld(X1,X2),X2),X2),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_198,plain,
ld(X1,X1) = ld(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_195,c_0_196]),c_0_146]),c_0_34]),c_0_36]),c_0_67]),c_0_192]),c_0_34]),c_0_36]),c_0_67]) ).
cnf(c_0_199,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_44]),c_0_15]) ).
cnf(c_0_200,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
goal ).
cnf(c_0_201,plain,
mult(ld(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_197,c_0_198]),c_0_24]),c_0_25]),c_0_49]),c_0_199]),c_0_6]) ).
cnf(c_0_202,plain,
mult(X1,ld(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_198]),c_0_34]),c_0_39]) ).
cnf(c_0_203,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP654-10 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 02:31:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 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.MiYwYmrwQU/E---3.1_31264.p
% 69.44/9.35 # Version: 3.1pre001
% 69.44/9.35 # Preprocessing class: FSSSSMSSSSSNFFN.
% 69.44/9.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 69.44/9.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 69.44/9.35 # Starting new_bool_3 with 300s (1) cores
% 69.44/9.35 # Starting new_bool_1 with 300s (1) cores
% 69.44/9.35 # Starting sh5l with 300s (1) cores
% 69.44/9.35 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 31341 completed with status 0
% 69.44/9.35 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 69.44/9.35 # Preprocessing class: FSSSSMSSSSSNFFN.
% 69.44/9.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 69.44/9.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 69.44/9.35 # No SInE strategy applied
% 69.44/9.35 # Search class: FUUPM-FFSF21-MFFFFFNN
% 69.44/9.35 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 69.44/9.35 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 69.44/9.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 69.44/9.35 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 69.44/9.35 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 69.44/9.35 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 69.44/9.35 # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 31349 completed with status 0
% 69.44/9.35 # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 69.44/9.35 # Preprocessing class: FSSSSMSSSSSNFFN.
% 69.44/9.35 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 69.44/9.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 69.44/9.35 # No SInE strategy applied
% 69.44/9.35 # Search class: FUUPM-FFSF21-MFFFFFNN
% 69.44/9.35 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 69.44/9.35 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 69.44/9.35 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 69.44/9.35 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 69.44/9.35 # Preprocessing time : 0.001 s
% 69.44/9.35
% 69.44/9.35 # Proof found!
% 69.44/9.35 # SZS status Unsatisfiable
% 69.44/9.35 # SZS output start CNFRefutation
% See solution above
% 69.44/9.35 # Parsed axioms : 6
% 69.44/9.35 # Removed by relevancy pruning/SinE : 0
% 69.44/9.35 # Initial clauses : 6
% 69.44/9.35 # Removed in clause preprocessing : 0
% 69.44/9.35 # Initial clauses in saturation : 6
% 69.44/9.35 # Processed clauses : 11756
% 69.44/9.35 # ...of these trivial : 6337
% 69.44/9.35 # ...subsumed : 4315
% 69.44/9.35 # ...remaining for further processing : 1104
% 69.44/9.35 # Other redundant clauses eliminated : 0
% 69.44/9.35 # Clauses deleted for lack of memory : 0
% 69.44/9.35 # Backward-subsumed : 0
% 69.44/9.35 # Backward-rewritten : 292
% 69.44/9.35 # Generated clauses : 568331
% 69.44/9.35 # ...of the previous two non-redundant : 487833
% 69.44/9.35 # ...aggressively subsumed : 0
% 69.44/9.35 # Contextual simplify-reflections : 0
% 69.44/9.35 # Paramodulations : 568331
% 69.44/9.35 # Factorizations : 0
% 69.44/9.35 # NegExts : 0
% 69.44/9.35 # Equation resolutions : 0
% 69.44/9.35 # Total rewrite steps : 1984897
% 69.44/9.35 # Propositional unsat checks : 0
% 69.44/9.35 # Propositional check models : 0
% 69.44/9.35 # Propositional check unsatisfiable : 0
% 69.44/9.35 # Propositional clauses : 0
% 69.44/9.35 # Propositional clauses after purity: 0
% 69.44/9.35 # Propositional unsat core size : 0
% 69.44/9.35 # Propositional preprocessing time : 0.000
% 69.44/9.35 # Propositional encoding time : 0.000
% 69.44/9.35 # Propositional solver time : 0.000
% 69.44/9.35 # Success case prop preproc time : 0.000
% 69.44/9.35 # Success case prop encoding time : 0.000
% 69.44/9.35 # Success case prop solver time : 0.000
% 69.44/9.35 # Current number of processed clauses : 812
% 69.44/9.35 # Positive orientable unit clauses : 771
% 69.44/9.35 # Positive unorientable unit clauses: 40
% 69.44/9.35 # Negative unit clauses : 1
% 69.44/9.35 # Non-unit-clauses : 0
% 69.44/9.35 # Current number of unprocessed clauses: 474326
% 69.44/9.35 # ...number of literals in the above : 474326
% 69.44/9.35 # Current number of archived formulas : 0
% 69.44/9.35 # Current number of archived clauses : 292
% 69.44/9.35 # Clause-clause subsumption calls (NU) : 0
% 69.44/9.35 # Rec. Clause-clause subsumption calls : 0
% 69.44/9.35 # Non-unit clause-clause subsumptions : 0
% 69.44/9.35 # Unit Clause-clause subsumption calls : 1073
% 69.44/9.35 # Rewrite failures with RHS unbound : 2840
% 69.44/9.35 # BW rewrite match attempts : 8586
% 69.44/9.35 # BW rewrite match successes : 461
% 69.44/9.35 # Condensation attempts : 11756
% 69.44/9.35 # Condensation successes : 0
% 69.44/9.35 # Termbank termtop insertions : 13356255
% 69.44/9.35
% 69.44/9.35 # -------------------------------------------------
% 69.44/9.35 # User time : 8.352 s
% 69.44/9.35 # System time : 0.310 s
% 69.44/9.35 # Total time : 8.662 s
% 69.44/9.35 # Maximum resident set size: 1564 pages
% 69.44/9.35
% 69.44/9.35 # -------------------------------------------------
% 69.44/9.35 # User time : 41.664 s
% 69.44/9.35 # System time : 1.395 s
% 69.44/9.35 # Total time : 43.058 s
% 69.44/9.35 # Maximum resident set size: 1680 pages
% 69.44/9.35 % E---3.1 exiting
%------------------------------------------------------------------------------