TSTP Solution File: GRP654-10 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP654-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:22:44 EDT 2023
% Result : Unsatisfiable 101.71s 101.75s
% Output : CNFRefutation 101.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 12
% Syntax : Number of formulae : 189 ( 183 unt; 6 typ; 0 def)
% Number of atoms : 183 ( 182 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 6 >; 4 *; 0 +; 0 <<)
% 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 : 413 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ld: ( $i * $i ) > $i ).
tff(decl_23,type,
mult: ( $i * $i ) > $i ).
tff(decl_24,type,
rd: ( $i * $i ) > $i ).
tff(decl_25,type,
x1: $i > $i ).
tff(decl_26,type,
x1_2: $i > $i ).
tff(decl_27,type,
tuple: ( $i * $i ) > $i ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(f05,axiom,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(f01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(f02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(goal,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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(X1,ld(X1,X2)) = X2,
f01 ).
cnf(c_0_10,plain,
rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_12,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_13,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(mult(X1,rd(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),X1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
ld(X1,mult(X1,X2)) = X2,
f02 ).
cnf(c_0_16,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_6,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_9]) ).
cnf(c_0_18,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_19,plain,
ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_21,plain,
ld(ld(X1,rd(X1,X1)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
rd(rd(X1,X2),rd(X1,X2)) = mult(rd(X1,X2),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_23,plain,
ld(X1,mult(mult(X2,X1),ld(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_24,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15]) ).
cnf(c_0_25,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_9,c_0_23]) ).
cnf(c_0_26,plain,
mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_27,plain,
mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_24,c_0_12]) ).
cnf(c_0_28,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_25,c_0_26]),c_0_24]),c_0_12]),c_0_24]),c_0_12]),c_0_27]) ).
cnf(c_0_29,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_28,c_0_25]),c_0_15]),c_0_9]) ).
cnf(c_0_30,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_29]),c_0_6]) ).
cnf(c_0_31,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_30]) ).
cnf(c_0_32,plain,
mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_33,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_25,c_0_31]),c_0_24]),c_0_24]),c_0_11]) ).
cnf(c_0_34,plain,
mult(rd(rd(X1,X1),X1),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_27,c_0_30]) ).
cnf(c_0_35,plain,
rd(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_30]) ).
cnf(c_0_36,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_15,c_0_32]) ).
cnf(c_0_37,plain,
rd(rd(X1,X1),rd(ld(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_26]) ).
cnf(c_0_38,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_33,c_0_34]),c_0_22]),c_0_35]),c_0_11]),c_0_22]),c_0_35]),c_0_11]),c_0_34]) ).
cnf(c_0_39,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(X1,mult(X2,rd(X1,X1))),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_40,plain,
rd(rd(X1,X1),rd(rd(X1,X1),X1)) = X1,
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_41,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_38,c_0_30]),c_0_11]),c_0_30]) ).
cnf(c_0_42,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(mult(X2,X1),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_43,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_44,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_39,c_0_40]),c_0_24]),c_0_35]),c_0_22]),c_0_35]),c_0_11]),c_0_41]),c_0_24]),c_0_35]),c_0_31]) ).
cnf(c_0_45,plain,
ld(ld(X1,X2),ld(X1,mult(mult(X2,X1),X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_46,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_30]),c_0_11]) ).
cnf(c_0_47,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_43]) ).
cnf(c_0_48,plain,
rd(rd(X1,X1),X1) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_15,c_0_44]) ).
cnf(c_0_49,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_45,c_0_9]) ).
cnf(c_0_50,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_46]),c_0_30]) ).
cnf(c_0_51,plain,
mult(X1,rd(ld(X1,X2),mult(X1,X3))) = rd(rd(X2,X3),X1),
inference(spm,[status(thm)],[c_0_47,c_0_9]) ).
cnf(c_0_52,plain,
ld(ld(mult(X1,X1),X1),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_48]),c_0_35]) ).
cnf(c_0_53,plain,
mult(ld(mult(X1,X1),X1),X2) = ld(X1,X2),
inference(rw,[status(thm)],[c_0_34,c_0_48]) ).
cnf(c_0_54,plain,
ld(X1,mult(rd(X1,X1),X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_30]),c_0_24]),c_0_38]) ).
cnf(c_0_55,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_50]),c_0_31]) ).
cnf(c_0_56,plain,
mult(mult(X1,rd(ld(X1,X2),X3)),X1) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_57,plain,
rd(rd(X1,X2),ld(mult(X3,X3),X3)) = ld(X3,mult(mult(X3,rd(X1,X2)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_13]),c_0_53]) ).
cnf(c_0_58,plain,
ld(X1,rd(rd(X2,X3),X1)) = rd(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_51]) ).
cnf(c_0_59,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_8,c_0_53]),c_0_53]),c_0_36]),c_0_6]),c_0_53]) ).
cnf(c_0_60,plain,
mult(X1,ld(mult(X1,X1),mult(X1,X2))) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_33]),c_0_15]) ).
cnf(c_0_61,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_39,c_0_37]),c_0_24]),c_0_12]),c_0_22]),c_0_12]),c_0_27]),c_0_30]),c_0_41]),c_0_24]),c_0_12]),c_0_31]) ).
cnf(c_0_62,plain,
rd(rd(X1,X1),rd(X2,mult(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_6,c_0_16]) ).
cnf(c_0_63,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_55]) ).
cnf(c_0_64,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(X1,ld(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_30,c_0_49]) ).
cnf(c_0_65,plain,
rd(rd(X1,ld(X2,X3)),X2) = mult(X2,rd(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_6,c_0_56]) ).
cnf(c_0_66,plain,
rd(X1,ld(mult(X2,X2),X2)) = ld(X2,mult(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_57,c_0_37]) ).
cnf(c_0_67,plain,
rd(ld(X1,mult(X2,X3)),mult(X1,X3)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_58,c_0_6]) ).
cnf(c_0_68,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(mult(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_15]) ).
cnf(c_0_69,plain,
mult(rd(X1,X1),ld(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
inference(rw,[status(thm)],[c_0_38,c_0_54]) ).
cnf(c_0_70,plain,
mult(X1,ld(mult(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_60]),c_0_54]) ).
cnf(c_0_71,plain,
rd(X1,rd(ld(X1,X2),X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_6,c_0_61]) ).
cnf(c_0_72,plain,
ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_73,plain,
rd(rd(X1,X1),X1) = rd(ld(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_62,c_0_27]),c_0_22]),c_0_12]),c_0_27]),c_0_12]),c_0_30]) ).
cnf(c_0_74,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_63]) ).
cnf(c_0_75,plain,
mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,mult(mult(X2,X1),X3))) = mult(ld(X1,X2),mult(mult(X1,ld(mult(X2,X1),X2)),mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_64]),c_0_64]) ).
cnf(c_0_76,plain,
mult(mult(X1,X1),rd(ld(mult(X1,X1),X2),X1)) = mult(X2,ld(mult(X1,X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]) ).
cnf(c_0_77,plain,
mult(rd(X1,X1),ld(X1,X2)) = ld(mult(X1,X1),mult(X1,X2)),
inference(rw,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,plain,
mult(X1,mult(X2,ld(mult(X1,X1),X1))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_9,c_0_68]) ).
cnf(c_0_79,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_80,plain,
rd(X1,rd(X2,mult(X1,X2))) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_71,c_0_15]) ).
cnf(c_0_81,plain,
rd(ld(X1,X2),X2) = rd(ld(X1,X3),X3),
inference(spm,[status(thm)],[c_0_6,c_0_27]) ).
cnf(c_0_82,plain,
ld(X1,rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_72,c_0_30]) ).
cnf(c_0_83,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_73,c_0_74]),c_0_50]) ).
cnf(c_0_84,plain,
rd(mult(X1,X2),rd(X1,X1)) = mult(mult(X1,rd(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_13,c_0_30]) ).
cnf(c_0_85,plain,
mult(X1,rd(ld(mult(X1,X1),X2),X1)) = ld(mult(X1,X1),rd(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_70]),c_0_30]),c_0_50]),c_0_77]),c_0_78]),c_0_30]),c_0_70]),c_0_30]),c_0_50]),c_0_33]),c_0_33]),c_0_79]) ).
cnf(c_0_86,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_67,c_0_27]),c_0_24]),c_0_12]),c_0_13]),c_0_6]),c_0_24]),c_0_12]) ).
cnf(c_0_87,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_80,c_0_27]),c_0_12]),c_0_27]) ).
cnf(c_0_88,plain,
rd(ld(X1,X2),X2) = ld(mult(X1,X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_30]),c_0_48]) ).
cnf(c_0_89,plain,
ld(X1,rd(X1,X1)) = ld(mult(X1,X1),X1),
inference(rw,[status(thm)],[c_0_82,c_0_48]) ).
cnf(c_0_90,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_58,c_0_48]),c_0_30]),c_0_83]) ).
cnf(c_0_91,plain,
rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_19]) ).
cnf(c_0_92,plain,
rd(ld(mult(X1,X1),mult(X1,X2)),rd(X1,X1)) = mult(ld(mult(X1,X1),rd(mult(X1,X2),X1)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_70]),c_0_85]) ).
cnf(c_0_93,plain,
mult(X1,mult(rd(X2,X1),mult(X1,mult(rd(rd(X1,X1),mult(X1,X2)),X3)))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_84]),c_0_7]) ).
cnf(c_0_94,plain,
rd(X1,mult(rd(X2,X3),X1)) = rd(X3,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_22]),c_0_15]) ).
cnf(c_0_95,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(rd(X1,X1),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_82,c_0_50]) ).
cnf(c_0_96,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_56,c_0_86]),c_0_9]),c_0_87]) ).
cnf(c_0_97,plain,
rd(ld(mult(X1,X1),X1),rd(X1,X1)) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_98,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_71,c_0_52]),c_0_6]),c_0_53]),c_0_90]) ).
cnf(c_0_99,plain,
rd(X1,mult(mult(X2,rd(ld(X2,X3),X4)),X1)) = rd(X2,rd(X3,ld(X2,X4))),
inference(spm,[status(thm)],[c_0_91,c_0_56]) ).
cnf(c_0_100,plain,
rd(ld(mult(X1,X1),X2),rd(X1,X1)) = mult(ld(mult(X1,X1),rd(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,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_68,c_0_8]),c_0_25]) ).
cnf(c_0_102,plain,
rd(X1,mult(ld(X2,mult(mult(X2,X3),X2)),X1)) = rd(ld(mult(X2,X2),X2),X3),
inference(spm,[status(thm)],[c_0_94,c_0_66]) ).
cnf(c_0_103,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[c_0_95,c_0_83]) ).
cnf(c_0_104,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_96,c_0_89]),c_0_97]),c_0_98]) ).
cnf(c_0_105,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_8,c_0_11]) ).
cnf(c_0_106,plain,
rd(ld(mult(X1,X1),X1),rd(X2,X1)) = rd(mult(X1,X1),mult(mult(X2,X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]) ).
cnf(c_0_107,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_105,c_0_27]),c_0_27]) ).
cnf(c_0_108,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_24,c_0_13]) ).
cnf(c_0_109,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_24,c_0_6]) ).
cnf(c_0_110,plain,
ld(X1,mult(mult(X1,rd(X2,X1)),X1)) = rd(mult(mult(X2,X1),X1),mult(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_106]),c_0_94]),c_0_66]) ).
cnf(c_0_111,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_27,c_0_78]),c_0_27]),c_0_27]),c_0_87]),c_0_24]),c_0_71]),c_0_61]) ).
cnf(c_0_112,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_107,c_0_36]),c_0_6]) ).
cnf(c_0_113,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_36,c_0_34]),c_0_58]),c_0_108]),c_0_35]) ).
cnf(c_0_114,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_105,c_0_109]),c_0_109]) ).
cnf(c_0_115,plain,
mult(X1,rd(ld(X1,X2),rd(X1,X1))) = rd(rd(X2,ld(mult(X1,X1),X1)),X1),
inference(spm,[status(thm)],[c_0_65,c_0_89]) ).
cnf(c_0_116,plain,
mult(ld(mult(mult(X1,rd(X1,X2)),X1),X1),X1) = rd(ld(X1,mult(X2,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(spm,[status(thm)],[c_0_110,c_0_111]),c_0_27]),c_0_112]),c_0_24]),c_0_12]),c_0_9]),c_0_112]),c_0_112]),c_0_58]),c_0_27]),c_0_87]),c_0_96]),c_0_108]) ).
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_113,c_0_113]) ).
cnf(c_0_118,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_67,c_0_109]),c_0_24]),c_0_6]),c_0_13]),c_0_6]),c_0_24]),c_0_6]) ).
cnf(c_0_119,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_80,c_0_109]),c_0_12]),c_0_109]) ).
cnf(c_0_120,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_114,c_0_30]),c_0_15]) ).
cnf(c_0_121,plain,
rd(ld(X1,X2),mult(X1,rd(X2,X2))) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
cnf(c_0_122,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_47,c_0_79]) ).
cnf(c_0_123,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_111,c_0_24]),c_0_24]),c_0_6]),c_0_24]) ).
cnf(c_0_124,plain,
mult(X1,rd(ld(X1,X2),rd(X1,X1))) = rd(ld(X1,mult(mult(X1,X2),X1)),X1),
inference(rw,[status(thm)],[c_0_115,c_0_66]) ).
cnf(c_0_125,plain,
rd(ld(X1,mult(mult(X1,X2),X1)),X1) = mult(mult(rd(X2,mult(X1,X1)),X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_43]),c_0_24]) ).
cnf(c_0_126,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_31]),c_0_24]),c_0_11]),c_0_31]) ).
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_20,c_0_11]),c_0_24]),c_0_24]) ).
cnf(c_0_128,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_56,c_0_118]),c_0_9]),c_0_119]) ).
cnf(c_0_129,plain,
mult(rd(X1,X1),rd(ld(X1,X2),X2)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_120,c_0_9]) ).
cnf(c_0_130,plain,
rd(rd(X1,X1),X1) = rd(X2,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_62,c_0_109]),c_0_22]),c_0_6]),c_0_109]),c_0_12]),c_0_30]) ).
cnf(c_0_131,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_121,c_0_122]),c_0_15]),c_0_123]),c_0_15]) ).
cnf(c_0_132,plain,
mult(X1,rd(ld(X1,X2),rd(X1,X1))) = mult(mult(rd(X2,mult(X1,X1)),X1),X1),
inference(rw,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_133,plain,
ld(X1,ld(X1,mult(mult(X2,rd(X1,X1)),X1))) = ld(mult(X1,X1),mult(mult(rd(X1,X1),X2),X1)),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_134,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_128,c_0_129]),c_0_22]),c_0_12]),c_0_27]),c_0_30]),c_0_22]),c_0_41]) ).
cnf(c_0_135,plain,
ld(mult(X1,X1),X1) = rd(X2,mult(X1,X2)),
inference(rw,[status(thm)],[c_0_130,c_0_48]) ).
cnf(c_0_136,plain,
ld(mult(mult(X1,ld(mult(X2,X2),X2)),X1),X3) = mult(ld(X1,rd(X2,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_52]),c_0_36]) ).
cnf(c_0_137,plain,
mult(mult(X1,rd(X2,X2)),rd(rd(X1,X1),rd(X2,X2))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_131]) ).
cnf(c_0_138,plain,
mult(ld(X1,rd(X2,rd(X1,X1))),X1) = mult(mult(ld(X1,X2),X1),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(spm,[status(thm)],[c_0_132,c_0_133]),c_0_100]),c_0_6]),c_0_126]),c_0_42]),c_0_67]),c_0_39]),c_0_134]) ).
cnf(c_0_139,plain,
rd(rd(X1,rd(X2,X2)),X2) = mult(X2,rd(ld(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_65,c_0_30]) ).
cnf(c_0_140,plain,
mult(ld(X1,mult(X2,rd(X1,X1))),X1) = rd(ld(X1,mult(mult(X2,X1),X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_135]),c_0_136]),c_0_39]) ).
cnf(c_0_141,plain,
rd(rd(mult(mult(X1,X2),rd(X2,X2)),X3),X2) = mult(X2,rd(mult(ld(X2,X1),X2),mult(X2,X3))),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_142,plain,
rd(rd(X1,X1),rd(X2,X2)) = ld(mult(X1,rd(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_15,c_0_137]) ).
cnf(c_0_143,plain,
mult(rd(X1,X2),rd(X3,rd(X2,X1))) = rd(mult(rd(X1,X2),mult(X3,X1)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_79]),c_0_24]),c_0_8]),c_0_105]),c_0_24]) ).
cnf(c_0_144,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_7,c_0_105]) ).
cnf(c_0_145,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_47,c_0_11]) ).
cnf(c_0_146,plain,
rd(mult(ld(X1,X2),X1),rd(X1,X1)) = rd(ld(X1,mult(mult(X2,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(spm,[status(thm)],[c_0_138,c_0_139]),c_0_24]),c_0_123]),c_0_79]),c_0_140]),c_0_22]),c_0_41]),c_0_138]),c_0_134]) ).
cnf(c_0_147,plain,
rd(rd(X1,X1),ld(X1,X2)) = mult(mult(X1,rd(rd(X3,mult(X1,X3)),X2)),X1),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_148,plain,
mult(X1,rd(rd(X2,mult(X1,X2)),rd(X2,X2))) = ld(X1,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(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_141,c_0_142]),c_0_22]),c_0_41]),c_0_134]),c_0_11]),c_0_22]),c_0_41]),c_0_134]),c_0_24]),c_0_105]),c_0_22]),c_0_41]),c_0_134]),c_0_143]),c_0_22]),c_0_144]),c_0_145]),c_0_79]) ).
cnf(c_0_149,plain,
rd(mult(X1,ld(mult(X2,X2),X2)),rd(ld(X2,X3),X3)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_68]),c_0_11]),c_0_15]) ).
cnf(c_0_150,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_32,c_0_112]),c_0_58]),c_0_51]),c_0_87]) ).
cnf(c_0_151,plain,
mult(rd(rd(ld(X1,X2),X2),X1),X3) = ld(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_109,c_0_61]) ).
cnf(c_0_152,plain,
rd(mult(X1,X2),rd(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_15]),c_0_7]),c_0_15]) ).
cnf(c_0_153,plain,
rd(rd(X1,X1),ld(X1,rd(X2,X2))) = mult(ld(X1,rd(X1,rd(X2,X2))),X1),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_154,plain,
rd(rd(X1,mult(X2,X3)),rd(ld(X2,X4),X4)) = ld(X2,rd(mult(X2,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_56]),c_0_52]),c_0_52]),c_0_53]) ).
cnf(c_0_155,plain,
rd(rd(rd(rd(X1,X2),X3),X3),rd(X1,X2)) = mult(rd(X1,X2),ld(mult(X3,X3),rd(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_150]),c_0_151]) ).
cnf(c_0_156,plain,
mult(X1,rd(rd(ld(X1,X2),X2),mult(X1,X3))) = rd(rd(rd(X1,X1),X3),X1),
inference(spm,[status(thm)],[c_0_47,c_0_26]) ).
cnf(c_0_157,plain,
rd(rd(X1,X1),mult(X2,X1)) = rd(X1,mult(X2,mult(X1,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_152]),c_0_94]) ).
cnf(c_0_158,plain,
mult(X1,rd(ld(mult(X1,X1),X1),rd(X2,X2))) = ld(X1,rd(X1,rd(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_153]),c_0_6]),c_0_82]),c_0_48]) ).
cnf(c_0_159,plain,
ld(X1,rd(rd(rd(rd(X1,X1),X2),X1),X2)) = ld(X1,ld(mult(mult(X1,X2),mult(X1,X2)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_12]),c_0_27]),c_0_156]) ).
cnf(c_0_160,plain,
mult(X1,rd(X1,mult(X1,mult(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(spm,[status(thm)],[c_0_139,c_0_22]),c_0_41]),c_0_82]),c_0_48]),c_0_98]),c_0_48]) ).
cnf(c_0_161,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_109,c_0_46]),c_0_83]) ).
cnf(c_0_162,plain,
rd(mult(X1,rd(X2,X2)),X2) = rd(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_157]),c_0_43]) ).
cnf(c_0_163,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_13,c_0_11]),c_0_105]),c_0_24]) ).
cnf(c_0_164,plain,
ld(X1,ld(X1,rd(X1,rd(X2,X2)))) = rd(ld(mult(X1,X1),X1),rd(X2,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_158]) ).
cnf(c_0_165,plain,
rd(rd(rd(rd(X1,X1),X2),X1),X2) = ld(mult(mult(X1,X2),mult(X1,X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_159]),c_0_9]) ).
cnf(c_0_166,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X2))) = mult(rd(X1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_160]),c_0_53]),c_0_30]),c_0_161]),c_0_70]) ).
cnf(c_0_167,plain,
mult(rd(mult(X1,X2),mult(X2,X2)),X2) = mult(X1,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_162]) ).
cnf(c_0_168,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_163,c_0_135]),c_0_53]) ).
cnf(c_0_169,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_13,c_0_24]),c_0_105]) ).
cnf(c_0_170,plain,
mult(rd(mult(X1,rd(X2,X2)),mult(X1,rd(X2,X2))),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(spm,[status(thm)],[c_0_164,c_0_165]),c_0_142]),c_0_142]),c_0_24]),c_0_12]),c_0_70]),c_0_24]),c_0_12]),c_0_70]),c_0_166]),c_0_142]),c_0_142]),c_0_27]),c_0_87]),c_0_142]),c_0_24]),c_0_71]),c_0_61]),c_0_6]) ).
cnf(c_0_171,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(spm,[status(thm)],[c_0_167,c_0_11]) ).
cnf(c_0_172,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_168,c_0_24]),c_0_169]) ).
cnf(c_0_173,plain,
rd(rd(X1,mult(rd(X2,X3),X4)),rd(X3,X2)) = mult(rd(X3,X2),rd(mult(rd(X2,X3),X1),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_24]),c_0_24]) ).
cnf(c_0_174,negated_conjecture,
tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
goal ).
cnf(c_0_175,plain,
mult(rd(X1,X2),mult(X2,mult(rd(X1,X2),X3))) = mult(mult(X1,rd(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_176,plain,
mult(rd(X1,X1),rd(X2,X2)) = 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(spm,[status(thm)],[c_0_134,c_0_170]),c_0_171]),c_0_109]),c_0_30]),c_0_172]),c_0_22]),c_0_41]),c_0_173]),c_0_11]),c_0_94]) ).
cnf(c_0_177,negated_conjecture,
tuple(mult(X1,mult(X2,mult(X1,x1(mult(mult(X1,X2),X1))))),mult(x1_2(mult(mult(X1,X2),X1)),mult(mult(X1,X2),X1))) != tuple(x1(mult(mult(X1,X2),X1)),x1_2(mult(mult(X1,X2),X1))),
inference(spm,[status(thm)],[c_0_174,c_0_7]) ).
cnf(c_0_178,plain,
mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_64]) ).
cnf(c_0_179,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_31]),c_0_11]),c_0_31]) ).
cnf(c_0_180,negated_conjecture,
tuple(mult(X1,mult(X1,mult(X1,x1(mult(X1,mult(X1,X1)))))),mult(x1_2(mult(X1,mult(X1,X1))),mult(X1,mult(X1,X1)))) != tuple(x1(mult(X1,mult(X1,X1))),x1_2(mult(X1,mult(X1,X1)))),
inference(spm,[status(thm)],[c_0_177,c_0_63]) ).
cnf(c_0_181,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_178,c_0_179]),c_0_30]),c_0_179]),c_0_24]),c_0_79]),c_0_24]) ).
cnf(c_0_182,negated_conjecture,
$false,
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)],[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_180,c_0_181]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30]),c_0_181]),c_0_181]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30]),c_0_179]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30]),c_0_171]),c_0_109]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP654-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 21:50:04 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 101.71/101.75 % Version : CSE_E---1.5
% 101.71/101.75 % Problem : theBenchmark.p
% 101.71/101.75 % Proof found
% 101.71/101.75 % SZS status Theorem for theBenchmark.p
% 101.71/101.75 % SZS output start Proof
% See solution above
% 101.81/101.77 % Total time : 101.161000 s
% 101.81/101.77 % SZS output end Proof
% 101.81/101.77 % Total time : 101.168000 s
%------------------------------------------------------------------------------