TSTP Solution File: GRP662-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP662-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:49:59 EDT 2023
% Result : Unsatisfiable 127.27s 16.53s
% Output : CNFRefutation 127.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of clauses : 230 ( 230 unt; 0 nHn; 16 RR)
% Number of literals : 230 ( 229 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 460 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c08,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c08) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c03) ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c02) ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c04) ).
cnf(c07,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c07) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c01) ).
cnf(c06,axiom,
mult(unit,X1) = X1,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c06) ).
cnf(c05,axiom,
mult(X1,unit) = X1,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c05) ).
cnf(c09,axiom,
mult(op_c,op_d) = unit,
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',c09) ).
cnf(goals,negated_conjecture,
mult(mult(a,mult(op_d,op_c)),b) != mult(a,mult(mult(op_d,op_c),b)),
file('/export/starexec/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p',goals) ).
cnf(c_0_10,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
c08 ).
cnf(c_0_11,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_12,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(mult(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_14,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_15,plain,
mult(mult(X1,rd(mult(X2,X3),X2)),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
mult(X1,rd(mult(X2,X3),X2)) = rd(mult(mult(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
ld(X1,rd(mult(mult(X1,X2),X3),X2)) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_18,axiom,
mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
c07 ).
cnf(c_0_19,plain,
ld(rd(X1,X2),rd(mult(X1,X3),X2)) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_20,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_21,plain,
rd(mult(X1,mult(X2,X3)),mult(X1,X3)) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_22,plain,
ld(rd(X1,X2),rd(X3,X2)) = rd(mult(X2,ld(X1,X3)),X2),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
mult(mult(rd(X1,X2),rd(X3,X2)),X2) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_24,axiom,
mult(unit,X1) = X1,
c06 ).
cnf(c_0_25,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_26,plain,
rd(mult(X1,X2),mult(X1,ld(X3,X2))) = rd(mult(X1,X3),X1),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_27,plain,
rd(mult(X1,ld(X2,mult(X3,X1))),X1) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_28,plain,
rd(mult(X1,ld(X2,X3)),X2) = mult(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_29,plain,
rd(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_30,plain,
ld(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
rd(mult(X1,rd(X2,X3)),X1) = rd(mult(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_32,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_33,plain,
ld(rd(rd(mult(X1,X2),X3),X2),X1) = rd(mult(X2,X3),X2),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_34,plain,
mult(rd(unit,X1),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
cnf(c_0_35,plain,
rd(mult(X1,ld(X2,X1)),X1) = ld(rd(X2,X1),unit),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_36,plain,
mult(X1,ld(X2,ld(X1,X3))) = ld(rd(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_37,plain,
mult(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_31]) ).
cnf(c_0_38,plain,
rd(rd(mult(X1,X2),X3),X2) = rd(X1,rd(mult(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
mult(X1,mult(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X1),X3),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_40,plain,
mult(rd(unit,X1),ld(rd(X2,X1),unit)) = rd(ld(X2,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_13]) ).
cnf(c_0_41,plain,
mult(rd(X1,X2),rd(ld(X1,X3),X2)) = rd(ld(rd(mult(X1,X2),X1),X3),X2),
inference(spm,[status(thm)],[c_0_28,c_0_36]) ).
cnf(c_0_42,axiom,
mult(X1,unit) = X1,
c05 ).
cnf(c_0_43,plain,
mult(X1,rd(X2,ld(X1,X3))) = mult(rd(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_44,plain,
rd(rd(X1,X2),rd(mult(X2,X3),X2)) = rd(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_38,c_0_11]) ).
cnf(c_0_45,plain,
ld(rd(rd(X1,X2),X1),unit) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_46,plain,
rd(ld(rd(mult(X1,X2),X1),X2),X2) = rd(rd(X1,X2),X1),
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_39,c_0_40]),c_0_41]),c_0_31]),c_0_42]),c_0_11]),c_0_42]) ).
cnf(c_0_47,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(rd(unit,X1),X2),
inference(spm,[status(thm)],[c_0_34,c_0_14]) ).
cnf(c_0_48,plain,
ld(X1,mult(rd(mult(X1,X2),X3),X1)) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_43]) ).
cnf(c_0_49,plain,
rd(rd(X1,ld(X2,X3)),X2) = rd(rd(X1,X2),rd(X3,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_50,plain,
mult(X1,ld(X2,mult(X3,X2))) = mult(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_51,plain,
rd(mult(rd(X1,X2),X3),rd(X1,X2)) = rd(mult(rd(X1,X2),mult(X3,X2)),X1),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_52,plain,
rd(X1,mult(X1,ld(X2,unit))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_26,c_0_42]) ).
cnf(c_0_53,plain,
rd(mult(mult(X1,X2),ld(X3,X2)),X2) = mult(X1,ld(rd(X3,X2),unit)),
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_54,plain,
rd(unit,rd(mult(X1,X2),X1)) = rd(rd(X1,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_55,plain,
ld(rd(mult(X1,X2),X1),X2) = mult(rd(rd(X1,X2),X1),X2),
inference(spm,[status(thm)],[c_0_11,c_0_46]) ).
cnf(c_0_56,plain,
rd(rd(X1,X2),rd(X3,X2)) = mult(rd(unit,X2),rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_57,plain,
mult(mult(rd(unit,X1),X2),X1) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_24,c_0_50]) ).
cnf(c_0_58,plain,
rd(mult(rd(X1,X2),mult(X2,X2)),X1) = rd(X1,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_51,c_0_11]) ).
cnf(c_0_59,plain,
ld(rd(mult(X1,X2),X1),X1) = mult(X1,ld(X2,unit)),
inference(spm,[status(thm)],[c_0_25,c_0_52]) ).
cnf(c_0_60,plain,
mult(mult(X1,ld(rd(X2,X3),unit)),X3) = mult(mult(X1,X3),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_53]) ).
cnf(c_0_61,plain,
rd(rd(X1,ld(X2,mult(X3,X1))),X1) = rd(unit,ld(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_62,plain,
rd(rd(X1,X2),ld(X2,X1)) = ld(rd(X1,rd(X1,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_11]),c_0_56]),c_0_57]),c_0_48]) ).
cnf(c_0_63,plain,
rd(mult(X1,X2),rd(mult(X1,X2),X1)) = rd(mult(X1,mult(X2,X1)),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_18]) ).
cnf(c_0_64,plain,
ld(rd(mult(X1,X2),mult(X1,X3)),X1) = mult(X1,ld(rd(X2,X3),unit)),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_65,plain,
mult(mult(X1,ld(rd(X2,X3),X4)),X3) = mult(mult(X1,X3),ld(X2,mult(X4,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_25]),c_0_25]) ).
cnf(c_0_66,plain,
mult(X1,ld(rd(mult(X2,X1),X2),unit)) = rd(X1,rd(mult(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_13]),c_0_38]),c_0_63]),c_0_64]) ).
cnf(c_0_67,plain,
mult(rd(X1,rd(mult(X2,X3),X2)),X2) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_11,c_0_38]) ).
cnf(c_0_68,plain,
mult(mult(X1,X2),ld(mult(X2,X1),X2)) = rd(mult(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_24]) ).
cnf(c_0_69,plain,
mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_70,plain,
mult(X1,ld(mult(X2,rd(X1,X2)),X2)) = rd(X1,rd(X1,X2)),
inference(spm,[status(thm)],[c_0_68,c_0_11]) ).
cnf(c_0_71,plain,
ld(X1,mult(rd(X2,X1),mult(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_69]) ).
cnf(c_0_72,plain,
ld(X1,mult(mult(rd(X1,X2),X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_50]) ).
cnf(c_0_73,axiom,
mult(op_c,op_d) = unit,
c09 ).
cnf(c_0_74,plain,
rd(mult(X1,X2),rd(X1,rd(X1,X2))) = rd(mult(X1,mult(X2,rd(X1,X2))),X1),
inference(spm,[status(thm)],[c_0_26,c_0_70]) ).
cnf(c_0_75,plain,
mult(ld(X1,X2),ld(rd(X2,X1),X3)) = ld(X1,mult(rd(X2,rd(X2,X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_39]),c_0_11]) ).
cnf(c_0_76,plain,
mult(X1,ld(ld(X1,X2),X3)) = ld(rd(X2,X1),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_77,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_72,c_0_14]) ).
cnf(c_0_78,plain,
rd(mult(op_c,X1),op_c) = mult(op_c,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_42]) ).
cnf(c_0_79,plain,
rd(mult(X1,ld(X2,X1)),rd(X1,X2)) = rd(mult(X1,mult(ld(X2,X1),X2)),X1),
inference(spm,[status(thm)],[c_0_74,c_0_32]) ).
cnf(c_0_80,plain,
mult(ld(ld(X1,X2),X2),ld(X1,X3)) = ld(ld(X1,X2),mult(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_75,c_0_32]) ).
cnf(c_0_81,plain,
ld(X1,ld(rd(X2,X1),mult(X1,X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_76]) ).
cnf(c_0_82,plain,
ld(X1,mult(ld(X2,X3),X1)) = ld(mult(X2,X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_77,c_0_20]) ).
cnf(c_0_83,plain,
mult(ld(X1,mult(X2,X1)),X3) = ld(X1,mult(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_71,c_0_14]) ).
cnf(c_0_84,plain,
mult(X1,rd(ld(X1,X2),X3)) = mult(rd(X2,mult(X1,X3)),X1),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_85,plain,
rd(ld(X1,X2),rd(X2,X1)) = ld(X1,rd(X2,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_20]),c_0_75]),c_0_42]) ).
cnf(c_0_86,plain,
mult(ld(rd(X1,X2),unit),X2) = mult(X2,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_35]) ).
cnf(c_0_87,plain,
rd(unit,op_c) = mult(op_c,mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_78,c_0_73]) ).
cnf(c_0_88,plain,
rd(mult(X1,ld(mult(X2,X1),X3)),X1) = ld(X2,rd(X3,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_89,plain,
ld(rd(ld(X1,X2),X2),rd(X2,X1)) = rd(mult(X2,ld(ld(X1,X2),X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_32]),c_0_80]),c_0_27]) ).
cnf(c_0_90,plain,
ld(ld(X1,mult(X2,X1)),X3) = ld(X1,ld(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_81,c_0_14]) ).
cnf(c_0_91,plain,
ld(X1,ld(X2,mult(X3,mult(X2,X1)))) = ld(mult(X2,X1),mult(mult(X3,X2),X1)),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
mult(rd(X1,mult(X2,rd(X1,X2))),X2) = rd(X1,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_20]) ).
cnf(c_0_93,plain,
mult(X1,ld(mult(X2,X1),X1)) = mult(ld(X2,unit),X1),
inference(spm,[status(thm)],[c_0_86,c_0_14]) ).
cnf(c_0_94,plain,
mult(mult(op_c,mult(op_d,op_d)),mult(op_c,X1)) = mult(op_c,mult(op_d,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_73]),c_0_87]) ).
cnf(c_0_95,plain,
ld(X1,mult(rd(mult(X1,X2),X1),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_39]) ).
cnf(c_0_96,plain,
mult(mult(op_c,mult(X1,op_d)),op_c) = mult(op_c,X1),
inference(spm,[status(thm)],[c_0_11,c_0_78]) ).
cnf(c_0_97,plain,
rd(ld(X1,mult(X2,X1)),X2) = ld(X1,rd(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_85,c_0_14]) ).
cnf(c_0_98,plain,
mult(ld(X1,rd(X2,X3)),X3) = mult(X3,ld(mult(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_11,c_0_88]) ).
cnf(c_0_99,plain,
ld(rd(ld(X1,mult(X2,X1)),mult(X2,X1)),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_14]),c_0_90]),c_0_91]),c_0_20]),c_0_14]) ).
cnf(c_0_100,plain,
rd(rd(X1,rd(X1,X2)),X2) = rd(X1,mult(X2,rd(X1,X2))),
inference(spm,[status(thm)],[c_0_14,c_0_92]) ).
cnf(c_0_101,plain,
ld(X1,mult(ld(X2,unit),X1)) = ld(mult(X2,X1),X1),
inference(spm,[status(thm)],[c_0_13,c_0_93]) ).
cnf(c_0_102,plain,
rd(X1,op_c) = mult(op_c,mult(op_d,mult(X1,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_78]),c_0_87]),c_0_94]),c_0_13]) ).
cnf(c_0_103,plain,
ld(X1,mult(ld(rd(unit,X1),X2),X1)) = mult(X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_104,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_95,c_0_42]) ).
cnf(c_0_105,plain,
ld(op_c,unit) = op_d,
inference(spm,[status(thm)],[c_0_13,c_0_73]) ).
cnf(c_0_106,plain,
ld(op_d,mult(X1,op_d)) = mult(mult(op_c,X1),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_73]),c_0_24]) ).
cnf(c_0_107,plain,
mult(op_c,rd(X1,op_d)) = mult(mult(op_c,X1),op_c),
inference(spm,[status(thm)],[c_0_96,c_0_11]) ).
cnf(c_0_108,plain,
rd(rd(ld(X1,X2),X1),rd(X2,X1)) = rd(unit,X1),
inference(spm,[status(thm)],[c_0_14,c_0_34]) ).
cnf(c_0_109,plain,
mult(X1,ld(mult(X2,X1),mult(X1,X2))) = ld(X2,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_97]),c_0_98]) ).
cnf(c_0_110,plain,
rd(ld(X1,mult(X2,X1)),mult(X2,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_99]) ).
cnf(c_0_111,plain,
rd(X1,rd(mult(X2,X1),X2)) = rd(mult(X1,X2),mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_100]),c_0_14]),c_0_14]) ).
cnf(c_0_112,plain,
ld(mult(rd(unit,X1),X2),X2) = ld(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_101,c_0_25]) ).
cnf(c_0_113,plain,
mult(op_c,mult(op_d,mult(mult(X1,op_c),op_d))) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_102]) ).
cnf(c_0_114,plain,
mult(ld(rd(unit,X1),X2),X1) = mult(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_103]) ).
cnf(c_0_115,plain,
mult(op_d,mult(mult(op_c,X1),op_d)) = mult(X1,op_d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_102]),c_0_13]),c_0_105]) ).
cnf(c_0_116,plain,
ld(op_d,X1) = mult(mult(mult(op_c,X1),op_c),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_11]),c_0_107]) ).
cnf(c_0_117,plain,
rd(rd(X1,X2),rd(mult(X2,X1),X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_108,c_0_13]) ).
cnf(c_0_118,plain,
ld(X1,ld(X2,mult(X1,X2))) = ld(mult(X2,X1),mult(X1,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_109]) ).
cnf(c_0_119,plain,
rd(rd(X1,X2),mult(X2,rd(X1,X2))) = rd(ld(X2,X1),X1),
inference(spm,[status(thm)],[c_0_110,c_0_11]) ).
cnf(c_0_120,plain,
ld(rd(X1,rd(X1,X2)),X2) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_32]),c_0_62]) ).
cnf(c_0_121,plain,
rd(X1,unit) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_11]) ).
cnf(c_0_122,plain,
ld(X1,rd(X2,rd(X2,X1))) = rd(mult(ld(X1,X2),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_20]),c_0_85]) ).
cnf(c_0_123,plain,
rd(X1,ld(X1,mult(X2,X1))) = mult(rd(unit,X2),X1),
inference(spm,[status(thm)],[c_0_32,c_0_112]) ).
cnf(c_0_124,plain,
ld(mult(op_c,mult(op_d,op_d)),X1) = mult(op_c,mult(mult(X1,op_c),op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_102]),c_0_24]) ).
cnf(c_0_125,plain,
rd(X1,op_d) = mult(mult(op_c,mult(op_d,X1)),op_c),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_16]),c_0_73]),c_0_24]) ).
cnf(c_0_126,plain,
mult(mult(mult(op_c,mult(op_d,X1)),op_c),op_d) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_116]) ).
cnf(c_0_127,plain,
rd(X1,rd(mult(X2,mult(X1,X2)),X2)) = rd(unit,X2),
inference(spm,[status(thm)],[c_0_117,c_0_14]) ).
cnf(c_0_128,plain,
mult(rd(unit,rd(X1,X2)),ld(X2,X1)) = ld(rd(X1,X2),ld(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_20]),c_0_49]),c_0_29]) ).
cnf(c_0_129,plain,
ld(rd(X1,X2),ld(X2,X1)) = ld(mult(X2,rd(X1,X2)),X1),
inference(spm,[status(thm)],[c_0_118,c_0_11]) ).
cnf(c_0_130,plain,
mult(rd(unit,X1),rd(mult(X1,rd(X2,X1)),X2)) = rd(unit,rd(X2,rd(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_11]),c_0_56]) ).
cnf(c_0_131,plain,
ld(unit,X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_132,plain,
rd(mult(X1,ld(ld(X2,X1),X1)),X2) = mult(X2,rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_119]),c_0_89]) ).
cnf(c_0_133,plain,
ld(mult(rd(X1,X2),X3),mult(X1,X3)) = ld(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_77,c_0_11]) ).
cnf(c_0_134,plain,
rd(rd(X1,ld(X2,X3)),X2) = mult(rd(unit,X2),rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[c_0_49,c_0_56]) ).
cnf(c_0_135,plain,
rd(rd(X1,X2),ld(X2,X1)) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[c_0_62,c_0_120]) ).
cnf(c_0_136,plain,
ld(X1,mult(mult(X1,X2),X1)) = rd(X2,ld(X1,unit)),
inference(spm,[status(thm)],[c_0_48,c_0_121]) ).
cnf(c_0_137,plain,
mult(ld(rd(X1,X2),X3),X2) = mult(X2,ld(X1,mult(X3,X2))),
inference(spm,[status(thm)],[c_0_11,c_0_27]) ).
cnf(c_0_138,plain,
rd(ld(X1,X2),rd(X2,X1)) = rd(mult(ld(X1,X2),X1),X2),
inference(rw,[status(thm)],[c_0_85,c_0_122]) ).
cnf(c_0_139,plain,
mult(X1,ld(mult(X2,X1),mult(X3,X1))) = mult(ld(X2,X3),X1),
inference(spm,[status(thm)],[c_0_98,c_0_14]) ).
cnf(c_0_140,plain,
rd(op_d,mult(mult(op_c,X1),op_d)) = mult(rd(unit,X1),op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_96]) ).
cnf(c_0_141,plain,
mult(mult(op_c,mult(op_d,op_c)),op_d) = mult(op_c,mult(mult(op_d,op_c),op_d)),
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_55,c_0_73]),c_0_102]),c_0_24]),c_0_124]),c_0_125]),c_0_102]),c_0_126]) ).
cnf(c_0_142,plain,
rd(X1,mult(op_c,mult(mult(X1,op_c),op_d))) = mult(op_c,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_102]),c_0_115]),c_0_102]),c_0_24]) ).
cnf(c_0_143,plain,
rd(unit,mult(op_c,ld(X1,op_d))) = mult(op_c,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_73]),c_0_102]),c_0_115]) ).
cnf(c_0_144,plain,
rd(mult(X1,op_c),X1) = rd(X1,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_73]),c_0_42]) ).
cnf(c_0_145,plain,
mult(rd(unit,rd(X1,X2)),ld(X2,X1)) = ld(mult(X2,rd(X1,X2)),X1),
inference(rw,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_146,plain,
mult(rd(unit,rd(X1,rd(X1,X2))),X2) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_130]),c_0_131]),c_0_48]),c_0_62]),c_0_120]) ).
cnf(c_0_147,plain,
mult(rd(X1,X2),rd(X1,rd(X1,X2))) = rd(mult(X1,mult(ld(X2,X1),X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_25]),c_0_79]) ).
cnf(c_0_148,plain,
rd(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_32,c_0_133]) ).
cnf(c_0_149,plain,
rd(rd(X1,mult(ld(X2,X1),X2)),X2) = rd(unit,rd(X1,rd(X1,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_130]) ).
cnf(c_0_150,plain,
mult(rd(unit,X1),ld(X2,rd(X3,X1))) = rd(ld(mult(X2,X1),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_88]),c_0_13]) ).
cnf(c_0_151,plain,
rd(ld(X1,ld(X2,X3)),ld(X2,unit)) = ld(mult(X2,X1),mult(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_36]),c_0_137]),c_0_13]) ).
cnf(c_0_152,plain,
ld(rd(mult(ld(X1,X2),X1),X2),ld(X1,X2)) = rd(X2,X1),
inference(spm,[status(thm)],[c_0_25,c_0_138]) ).
cnf(c_0_153,plain,
mult(X1,rd(mult(ld(X1,X2),X1),X2)) = rd(X2,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_122]) ).
cnf(c_0_154,plain,
ld(op_c,mult(mult(op_c,X1),op_c)) = rd(X1,op_d),
inference(spm,[status(thm)],[c_0_13,c_0_107]) ).
cnf(c_0_155,plain,
mult(op_d,ld(mult(mult(op_c,X1),op_d),unit)) = ld(X1,op_d),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_115]),c_0_14]) ).
cnf(c_0_156,plain,
mult(op_d,ld(mult(X1,op_d),unit)) = mult(ld(X1,op_c),op_d),
inference(spm,[status(thm)],[c_0_139,c_0_73]) ).
cnf(c_0_157,plain,
mult(rd(unit,mult(op_d,op_c)),op_d) = mult(op_c,mult(op_d,op_d)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]) ).
cnf(c_0_158,plain,
ld(mult(op_c,mult(X1,op_d)),unit) = mult(op_c,ld(X1,op_d)),
inference(spm,[status(thm)],[c_0_25,c_0_143]) ).
cnf(c_0_159,plain,
ld(X1,X1) = unit,
inference(spm,[status(thm)],[c_0_13,c_0_42]) ).
cnf(c_0_160,plain,
ld(rd(unit,X1),X2) = rd(mult(X1,mult(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_25,c_0_127]) ).
cnf(c_0_161,plain,
mult(rd(mult(X1,mult(X2,X1)),X1),X3) = mult(X1,mult(mult(X2,rd(X3,X1)),X1)),
inference(spm,[status(thm)],[c_0_39,c_0_12]) ).
cnf(c_0_162,plain,
mult(op_c,mult(rd(X1,X2),op_d)) = rd(mult(op_c,X1),mult(op_c,X2)),
inference(spm,[status(thm)],[c_0_78,c_0_31]) ).
cnf(c_0_163,plain,
mult(rd(X1,mult(X1,op_d)),X1) = mult(X1,op_c),
inference(spm,[status(thm)],[c_0_11,c_0_144]) ).
cnf(c_0_164,plain,
rd(mult(mult(X1,X2),ld(mult(X3,X2),X4)),X2) = mult(X1,ld(X3,rd(X4,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_88]) ).
cnf(c_0_165,plain,
mult(X1,ld(mult(ld(X2,X1),X2),unit)) = rd(X1,mult(ld(X2,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_25]),c_0_146]),c_0_147]),c_0_59]) ).
cnf(c_0_166,plain,
rd(mult(X1,X2),ld(X2,X3)) = mult(rd(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_148,c_0_11]) ).
cnf(c_0_167,plain,
rd(X1,rd(mult(X1,mult(X2,X2)),X2)) = rd(rd(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_38,c_0_149]),c_0_14]),c_0_54]),c_0_83]),c_0_20]) ).
cnf(c_0_168,plain,
mult(X1,rd(ld(mult(X1,X2),X3),X2)) = mult(rd(X1,mult(X1,X2)),rd(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_150]),c_0_31]),c_0_42]) ).
cnf(c_0_169,plain,
ld(rd(X1,rd(X1,X2)),mult(X1,X2)) = rd(rd(X1,X2),ld(X2,unit)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_170,plain,
rd(ld(op_c,X1),op_d) = ld(op_c,mult(X1,op_c)),
inference(spm,[status(thm)],[c_0_154,c_0_20]) ).
cnf(c_0_171,plain,
mult(ld(mult(op_c,X1),op_c),op_d) = ld(X1,op_d),
inference(rw,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_172,plain,
mult(mult(op_d,op_c),mult(mult(op_c,rd(op_d,mult(op_d,op_c))),mult(op_d,op_c))) = mult(op_d,op_c),
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_156,c_0_157]),c_0_158]),c_0_159]),c_0_42]),c_0_160]),c_0_161]) ).
cnf(c_0_173,plain,
rd(unit,mult(op_c,mult(op_d,op_d))) = mult(op_c,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_73]) ).
cnf(c_0_174,plain,
ld(rd(mult(X1,X2),X1),mult(X2,rd(unit,X2))) = rd(rd(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_164,c_0_165]),c_0_83]),c_0_166]),c_0_167]),c_0_14]),c_0_90]),c_0_36]) ).
cnf(c_0_175,plain,
rd(ld(rd(mult(X1,X2),X1),X3),X2) = mult(rd(rd(X1,X2),X1),rd(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_11]),c_0_41]) ).
cnf(c_0_176,plain,
ld(rd(X1,X2),mult(X1,ld(X2,X1))) = rd(X2,ld(ld(X2,X1),unit)),
inference(spm,[status(thm)],[c_0_169,c_0_32]) ).
cnf(c_0_177,plain,
mult(rd(rd(X1,X2),X3),mult(X3,X2)) = mult(X3,mult(X2,ld(mult(X3,X2),X1))),
inference(spm,[status(thm)],[c_0_69,c_0_98]) ).
cnf(c_0_178,plain,
mult(ld(op_c,mult(X1,op_c)),op_d) = ld(op_c,X1),
inference(spm,[status(thm)],[c_0_11,c_0_170]) ).
cnf(c_0_179,plain,
mult(mult(op_c,mult(op_d,mult(X1,op_d))),op_c) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_125]) ).
cnf(c_0_180,plain,
mult(op_c,mult(op_d,mult(mult(mult(X1,op_c),op_d),op_d))) = mult(X1,mult(op_c,mult(op_d,op_d))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_73]),c_0_87]),c_0_102]) ).
cnf(c_0_181,plain,
ld(ld(mult(op_c,X1),op_c),ld(X1,op_d)) = op_d,
inference(spm,[status(thm)],[c_0_13,c_0_171]) ).
cnf(c_0_182,plain,
mult(op_c,rd(op_d,mult(op_d,op_c))) = rd(unit,mult(op_d,op_c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_172]),c_0_29]),c_0_121]) ).
cnf(c_0_183,plain,
ld(mult(op_c,mult(op_d,op_c)),unit) = mult(op_c,mult(op_d,op_d)),
inference(spm,[status(thm)],[c_0_25,c_0_173]) ).
cnf(c_0_184,plain,
mult(rd(mult(X1,X2),X1),rd(rd(X1,X2),X1)) = mult(X2,rd(unit,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_174]) ).
cnf(c_0_185,plain,
mult(X1,mult(X2,ld(mult(X1,X2),X1))) = mult(rd(unit,X2),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_13]),c_0_49]),c_0_56]),c_0_121]),c_0_13]),c_0_14]),c_0_177]) ).
cnf(c_0_186,plain,
ld(op_c,rd(X1,op_c)) = mult(ld(op_c,X1),op_d),
inference(spm,[status(thm)],[c_0_178,c_0_11]) ).
cnf(c_0_187,plain,
mult(mult(X1,mult(op_c,mult(op_d,op_d))),op_c) = mult(mult(X1,op_c),op_d),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_188,plain,
mult(mult(op_d,op_c),mult(op_c,mult(op_d,op_d))) = op_d,
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_160]),c_0_25]),c_0_59]),c_0_183]) ).
cnf(c_0_189,plain,
ld(X1,mult(rd(X2,mult(X1,X3)),X1)) = rd(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_84]) ).
cnf(c_0_190,plain,
mult(rd(unit,X1),rd(mult(X1,X1),X2)) = rd(unit,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_29]) ).
cnf(c_0_191,plain,
mult(ld(X1,X2),rd(unit,ld(X1,X2))) = mult(ld(rd(X1,X2),unit),rd(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_32]),c_0_35]) ).
cnf(c_0_192,plain,
mult(ld(X1,X2),ld(X2,rd(X2,X1))) = mult(ld(X1,unit),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_185]),c_0_71]),c_0_11]) ).
cnf(c_0_193,plain,
ld(mult(X1,X2),rd(mult(X1,X2),X1)) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_13,c_0_68]) ).
cnf(c_0_194,plain,
mult(ld(op_c,X1),op_d) = mult(op_d,mult(X1,op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_102]),c_0_13]) ).
cnf(c_0_195,plain,
mult(rd(mult(X1,X2),X1),mult(X3,X1)) = mult(X1,mult(mult(rd(X2,X1),X3),X1)),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
cnf(c_0_196,plain,
mult(mult(mult(op_d,op_c),op_c),op_d) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_197,plain,
mult(mult(X1,X2),rd(ld(X2,X3),X4)) = mult(mult(X1,rd(X3,mult(X2,X4))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_189]),c_0_14]) ).
cnf(c_0_198,plain,
ld(rd(X1,X2),rd(X1,rd(X1,X2))) = mult(X2,ld(rd(X1,X2),unit)),
inference(spm,[status(thm)],[c_0_104,c_0_11]) ).
cnf(c_0_199,plain,
mult(ld(X1,X2),ld(X1,X3)) = ld(X1,mult(rd(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_95,c_0_20]) ).
cnf(c_0_200,plain,
mult(ld(rd(X1,X2),unit),rd(X1,X2)) = mult(rd(X2,X1),rd(unit,rd(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_134]),c_0_20]),c_0_190]),c_0_191]) ).
cnf(c_0_201,plain,
mult(ld(ld(X1,X2),X2),ld(X2,X1)) = mult(ld(ld(X1,X2),unit),X1),
inference(spm,[status(thm)],[c_0_192,c_0_32]) ).
cnf(c_0_202,plain,
ld(mult(op_c,X1),mult(op_c,mult(X1,op_d))) = ld(mult(X1,op_c),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_102]),c_0_115]) ).
cnf(c_0_203,plain,
ld(mult(op_c,mult(X1,op_d)),mult(op_c,X2)) = mult(op_c,ld(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_102]),c_0_115]) ).
cnf(c_0_204,plain,
ld(op_c,X1) = mult(op_d,mult(mult(X1,op_c),op_d)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_194]),c_0_73]),c_0_42]) ).
cnf(c_0_205,plain,
mult(op_d,mult(mult(mult(op_c,X1),X2),op_d)) = mult(X1,mult(X2,op_d)),
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_115]),c_0_14]),c_0_125]),c_0_115]),c_0_96]) ).
cnf(c_0_206,plain,
mult(op_c,mult(op_d,mult(op_d,op_c))) = mult(op_d,op_c),
inference(spm,[status(thm)],[c_0_113,c_0_196]) ).
cnf(c_0_207,plain,
mult(mult(X1,rd(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),rd(unit,X3)),
inference(spm,[status(thm)],[c_0_197,c_0_159]) ).
cnf(c_0_208,plain,
mult(op_c,ld(rd(op_d,X1),unit)) = ld(rd(unit,mult(op_c,X1)),op_c),
inference(spm,[status(thm)],[c_0_64,c_0_73]) ).
cnf(c_0_209,plain,
ld(rd(unit,X1),rd(X2,rd(unit,X1))) = mult(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_127]),c_0_25]),c_0_11]) ).
cnf(c_0_210,plain,
mult(mult(rd(ld(X1,X2),X1),X3),X1) = ld(X1,mult(rd(X2,X1),mult(X3,X1))),
inference(spm,[status(thm)],[c_0_199,c_0_50]) ).
cnf(c_0_211,plain,
rd(mult(mult(X1,ld(mult(X1,X2),X1)),X2),X1) = mult(ld(X2,unit),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_200,c_0_52]),c_0_16]),c_0_86]),c_0_54]),c_0_184]),c_0_32]) ).
cnf(c_0_212,plain,
mult(X1,ld(mult(X1,op_c),X1)) = mult(op_d,mult(op_c,mult(X1,op_d))),
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_201,c_0_202]),c_0_203]),c_0_159]),c_0_42]),c_0_13]),c_0_203]),c_0_159]),c_0_42]),c_0_204]),c_0_24]),c_0_73]),c_0_42]) ).
cnf(c_0_213,plain,
mult(mult(op_c,mult(X1,mult(X2,op_d))),op_c) = mult(mult(op_c,X1),X2),
inference(spm,[status(thm)],[c_0_179,c_0_205]) ).
cnf(c_0_214,plain,
mult(op_c,mult(mult(op_d,mult(op_d,op_c)),X1)) = mult(op_d,mult(op_c,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_206]),c_0_102]),c_0_113]) ).
cnf(c_0_215,plain,
mult(mult(X1,rd(unit,mult(op_c,X2))),op_c) = mult(mult(X1,op_c),rd(op_d,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_32]),c_0_32]) ).
cnf(c_0_216,plain,
mult(ld(X1,unit),mult(X2,ld(X1,unit))) = ld(X1,rd(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_209,c_0_52]),c_0_24]),c_0_121]),c_0_24]),c_0_121]),c_0_24]),c_0_24]) ).
cnf(c_0_217,plain,
mult(mult(mult(rd(unit,X1),X2),X3),X1) = ld(X1,mult(X2,mult(X3,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_47]),c_0_14]) ).
cnf(c_0_218,plain,
mult(X1,rd(X2,mult(X2,op_d))) = rd(mult(mult(X1,X2),op_c),X2),
inference(spm,[status(thm)],[c_0_16,c_0_144]) ).
cnf(c_0_219,plain,
mult(mult(X1,ld(mult(X1,X2),X1)),X2) = mult(mult(ld(X2,unit),X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_211]) ).
cnf(c_0_220,plain,
ld(rd(X1,mult(X1,op_d)),unit) = rd(mult(op_d,mult(op_c,mult(X1,op_d))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_212]),c_0_144]) ).
cnf(c_0_221,plain,
mult(mult(op_d,mult(op_c,mult(X1,op_d))),op_c) = mult(mult(op_d,op_c),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_206]) ).
cnf(c_0_222,plain,
mult(mult(X1,mult(op_c,mult(X2,op_d))),op_c) = mult(mult(X1,op_c),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_143]),c_0_32]) ).
cnf(c_0_223,plain,
ld(X1,rd(mult(mult(X1,X2),X3),X1)) = mult(X2,mult(X3,ld(X1,unit))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_20]),c_0_32]) ).
cnf(c_0_224,plain,
rd(mult(mult(op_d,op_c),mult(X1,X2)),X2) = mult(mult(op_d,op_c),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_218,c_0_219]),c_0_220]),c_0_218]),c_0_11]),c_0_221]),c_0_14]),c_0_218]),c_0_65]),c_0_212]),c_0_222]) ).
cnf(c_0_225,plain,
mult(X1,mult(X2,mult(X3,ld(X1,unit)))) = rd(mult(mult(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_20,c_0_223]) ).
cnf(c_0_226,plain,
ld(X1,mult(mult(X1,mult(op_d,op_c)),X2)) = mult(mult(op_d,op_c),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_224]),c_0_225]),c_0_11]) ).
cnf(c_0_227,negated_conjecture,
mult(mult(a,mult(op_d,op_c)),b) != mult(a,mult(mult(op_d,op_c),b)),
goals ).
cnf(c_0_228,plain,
mult(mult(X1,mult(op_d,op_c)),X2) = mult(X1,mult(mult(op_d,op_c),X2)),
inference(spm,[status(thm)],[c_0_20,c_0_226]) ).
cnf(c_0_229,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP662-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.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 02:50:07 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.KRiFxSlfs9/E---3.1_9527.p
% 127.27/16.53 # Version: 3.1pre001
% 127.27/16.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 127.27/16.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 127.27/16.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 127.27/16.53 # Starting new_bool_3 with 300s (1) cores
% 127.27/16.53 # Starting new_bool_1 with 300s (1) cores
% 127.27/16.53 # Starting sh5l with 300s (1) cores
% 127.27/16.53 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 9652 completed with status 0
% 127.27/16.53 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 127.27/16.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 127.27/16.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 127.27/16.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 127.27/16.53 # No SInE strategy applied
% 127.27/16.53 # Search class: FUUPM-FFSF22-MFFFFFNN
% 127.27/16.53 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 127.27/16.53 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 127.27/16.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 127.27/16.53 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 127.27/16.53 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 127.27/16.53 # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 127.27/16.53 # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9662 completed with status 0
% 127.27/16.53 # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 127.27/16.53 # Preprocessing class: FSSSSMSSSSSNFFN.
% 127.27/16.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 127.27/16.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 127.27/16.53 # No SInE strategy applied
% 127.27/16.53 # Search class: FUUPM-FFSF22-MFFFFFNN
% 127.27/16.53 # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 127.27/16.53 # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 127.27/16.53 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 127.27/16.53 # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 127.27/16.53 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 127.27/16.53 # Preprocessing time : 0.001 s
% 127.27/16.53 # Presaturation interreduction done
% 127.27/16.53
% 127.27/16.53 # Proof found!
% 127.27/16.53 # SZS status Unsatisfiable
% 127.27/16.53 # SZS output start CNFRefutation
% See solution above
% 127.27/16.53 # Parsed axioms : 10
% 127.27/16.53 # Removed by relevancy pruning/SinE : 0
% 127.27/16.53 # Initial clauses : 10
% 127.27/16.53 # Removed in clause preprocessing : 0
% 127.27/16.53 # Initial clauses in saturation : 10
% 127.27/16.53 # Processed clauses : 4951
% 127.27/16.53 # ...of these trivial : 2511
% 127.27/16.53 # ...subsumed : 483
% 127.27/16.53 # ...remaining for further processing : 1957
% 127.27/16.53 # Other redundant clauses eliminated : 0
% 127.27/16.53 # Clauses deleted for lack of memory : 0
% 127.27/16.53 # Backward-subsumed : 0
% 127.27/16.53 # Backward-rewritten : 473
% 127.27/16.53 # Generated clauses : 983821
% 127.27/16.53 # ...of the previous two non-redundant : 879130
% 127.27/16.53 # ...aggressively subsumed : 0
% 127.27/16.53 # Contextual simplify-reflections : 0
% 127.27/16.53 # Paramodulations : 983821
% 127.27/16.53 # Factorizations : 0
% 127.27/16.53 # NegExts : 0
% 127.27/16.53 # Equation resolutions : 0
% 127.27/16.53 # Total rewrite steps : 2308026
% 127.27/16.53 # Propositional unsat checks : 0
% 127.27/16.53 # Propositional check models : 0
% 127.27/16.53 # Propositional check unsatisfiable : 0
% 127.27/16.53 # Propositional clauses : 0
% 127.27/16.53 # Propositional clauses after purity: 0
% 127.27/16.53 # Propositional unsat core size : 0
% 127.27/16.53 # Propositional preprocessing time : 0.000
% 127.27/16.53 # Propositional encoding time : 0.000
% 127.27/16.53 # Propositional solver time : 0.000
% 127.27/16.53 # Success case prop preproc time : 0.000
% 127.27/16.53 # Success case prop encoding time : 0.000
% 127.27/16.53 # Success case prop solver time : 0.000
% 127.27/16.53 # Current number of processed clauses : 1474
% 127.27/16.53 # Positive orientable unit clauses : 1460
% 127.27/16.53 # Positive unorientable unit clauses: 14
% 127.27/16.53 # Negative unit clauses : 0
% 127.27/16.53 # Non-unit-clauses : 0
% 127.27/16.53 # Current number of unprocessed clauses: 872797
% 127.27/16.53 # ...number of literals in the above : 872797
% 127.27/16.53 # Current number of archived formulas : 0
% 127.27/16.53 # Current number of archived clauses : 483
% 127.27/16.53 # Clause-clause subsumption calls (NU) : 0
% 127.27/16.53 # Rec. Clause-clause subsumption calls : 0
% 127.27/16.53 # Non-unit clause-clause subsumptions : 0
% 127.27/16.53 # Unit Clause-clause subsumption calls : 1205
% 127.27/16.53 # Rewrite failures with RHS unbound : 0
% 127.27/16.53 # BW rewrite match attempts : 9244
% 127.27/16.53 # BW rewrite match successes : 467
% 127.27/16.53 # Condensation attempts : 0
% 127.27/16.53 # Condensation successes : 0
% 127.27/16.53 # Termbank termtop insertions : 24042175
% 127.27/16.53
% 127.27/16.53 # -------------------------------------------------
% 127.27/16.53 # User time : 15.244 s
% 127.27/16.53 # System time : 0.513 s
% 127.27/16.53 # Total time : 15.757 s
% 127.27/16.53 # Maximum resident set size: 1560 pages
% 127.27/16.53
% 127.27/16.53 # -------------------------------------------------
% 127.27/16.53 # User time : 76.421 s
% 127.27/16.53 # System time : 2.665 s
% 127.27/16.53 # Total time : 79.086 s
% 127.27/16.53 # Maximum resident set size: 1672 pages
% 127.27/16.53 % E---3.1 exiting
%------------------------------------------------------------------------------