TSTP Solution File: GRP706-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP706-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 00:23:16 EDT 2023
% Result : Unsatisfiable 217.75s 217.73s
% Output : CNFRefutation 217.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 16
% Syntax : Number of formulae : 256 ( 248 unt; 8 typ; 0 def)
% Number of atoms : 248 ( 247 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 : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 700 ( 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,
f: ( $i * $i ) > $i ).
tff(decl_26,type,
op_c: $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
b: $i ).
tff(decl_29,type,
c: $i ).
cnf(c04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
cnf(c06,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,rd(X3,X3)),mult(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c02,axiom,
ld(X1,mult(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c05,axiom,
mult(X1,mult(X2,X3)) = mult(mult(X1,X2),mult(ld(X1,X1),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
cnf(c01,axiom,
mult(X1,ld(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(goals,negated_conjecture,
f(a,f(b,f(a,c))) != f(f(f(a,b),a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c07,axiom,
f(X1,X2) = mult(rd(X1,op_c),ld(op_c,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c_0_8,axiom,
rd(mult(X1,X2),X2) = X1,
c04 ).
cnf(c_0_9,axiom,
mult(mult(X1,X2),X3) = mult(mult(X1,rd(X3,X3)),mult(X2,X3)),
c06 ).
cnf(c_0_10,plain,
rd(mult(mult(X1,X2),X3),mult(X2,X3)) = mult(X1,rd(X3,X3)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
mult(rd(X1,X2),X2) = X1,
c03 ).
cnf(c_0_12,axiom,
ld(X1,mult(X1,X2)) = X2,
c02 ).
cnf(c_0_13,axiom,
mult(X1,mult(X2,X3)) = mult(mult(X1,X2),mult(ld(X1,X1),X3)),
c05 ).
cnf(c_0_14,plain,
rd(mult(X1,X2),mult(X3,X2)) = mult(rd(X1,X3),rd(X2,X2)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
ld(mult(X1,X2),mult(X1,mult(X2,X3))) = mult(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
mult(X1,ld(X1,X2)) = X2,
c01 ).
cnf(c_0_17,plain,
rd(mult(X1,mult(X2,X3)),mult(ld(X1,X1),X3)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_18,plain,
mult(rd(X1,rd(X2,X3)),rd(X3,X3)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_19,plain,
ld(mult(X1,X2),mult(X1,X3)) = mult(ld(X1,X1),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
rd(mult(X1,X2),mult(ld(X1,X1),X3)) = mult(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_21,plain,
rd(rd(mult(X1,X2),X3),rd(X2,X2)) = rd(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_8,c_0_18]) ).
cnf(c_0_22,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_16]) ).
cnf(c_0_23,plain,
mult(ld(X1,X1),ld(ld(X1,X2),X3)) = ld(X2,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_24,plain,
mult(X1,mult(X2,ld(ld(X1,X1),X3))) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_25,plain,
rd(X1,mult(ld(X2,X2),X3)) = mult(X2,rd(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_26,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_27,plain,
rd(X1,rd(ld(X2,mult(X1,X3)),X3)) = rd(X2,rd(X3,X3)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
ld(ld(X1,X1),ld(X2,mult(X1,X3))) = ld(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_12,c_0_23]) ).
cnf(c_0_29,plain,
ld(X1,mult(mult(X1,X2),X3)) = mult(X2,ld(ld(X1,X1),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
cnf(c_0_30,plain,
mult(X1,rd(ld(X1,mult(X2,X3)),X3)) = mult(rd(X2,ld(X1,X1)),rd(X3,X3)),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_31,plain,
rd(ld(X1,mult(X2,X3)),X3) = ld(rd(X1,rd(X3,X3)),X2),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
mult(rd(rd(X1,X2),X3),rd(X2,X2)) = rd(X1,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_33,plain,
ld(ld(X1,rd(mult(X1,X2),X3)),X2) = ld(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_34,plain,
mult(rd(X1,X1),ld(ld(X2,X2),mult(X3,X1))) = mult(X3,ld(ld(X2,X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_9]),c_0_29]) ).
cnf(c_0_35,plain,
mult(rd(X1,ld(X2,X2)),rd(X3,X3)) = mult(X2,ld(rd(X2,rd(X3,X3)),X1)),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
ld(rd(X1,rd(X2,X3)),rd(mult(X1,X3),X2)) = rd(X3,X3),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_37,plain,
rd(X1,mult(ld(X2,rd(X1,X3)),X3)) = mult(X2,rd(X3,X3)),
inference(spm,[status(thm)],[c_0_32,c_0_22]) ).
cnf(c_0_38,plain,
ld(X1,rd(mult(X1,X2),X3)) = rd(X2,ld(ld(X1,X1),X3)),
inference(spm,[status(thm)],[c_0_22,c_0_33]) ).
cnf(c_0_39,plain,
mult(ld(X1,X1),ld(X2,ld(X1,X3))) = ld(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_40,plain,
ld(rd(X1,X1),mult(X2,ld(ld(X3,X3),X1))) = ld(ld(X3,X3),mult(X2,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_34]) ).
cnf(c_0_41,plain,
mult(X1,ld(rd(X1,rd(X2,X2)),mult(X3,ld(X1,X1)))) = mult(X3,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_35,c_0_8]) ).
cnf(c_0_42,plain,
ld(rd(X1,rd(X2,ld(X1,X3))),rd(X3,X2)) = rd(ld(X1,X3),ld(X1,X3)),
inference(spm,[status(thm)],[c_0_36,c_0_16]) ).
cnf(c_0_43,plain,
ld(mult(X1,rd(X2,X2)),X3) = mult(ld(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_26,c_0_37]) ).
cnf(c_0_44,plain,
ld(rd(X1,rd(X2,X2)),rd(X3,X2)) = rd(ld(X1,X3),X2),
inference(spm,[status(thm)],[c_0_31,c_0_11]) ).
cnf(c_0_45,plain,
mult(X1,rd(X2,ld(ld(X1,X1),X3))) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_16,c_0_38]) ).
cnf(c_0_46,plain,
ld(ld(X1,X1),ld(mult(X1,X2),X3)) = ld(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_39]) ).
cnf(c_0_47,plain,
ld(ld(X1,rd(X2,X2)),ld(ld(X3,X3),X2)) = ld(ld(X1,ld(X3,X3)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_28]) ).
cnf(c_0_48,plain,
mult(mult(rd(X1,rd(X2,X2)),X3),X2) = mult(X1,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_49,plain,
ld(rd(X1,rd(X2,X2)),mult(X3,ld(X1,X1))) = ld(X1,mult(X3,rd(X2,X2))),
inference(spm,[status(thm)],[c_0_12,c_0_41]) ).
cnf(c_0_50,plain,
rd(ld(X1,X2),ld(X1,X2)) = ld(rd(X1,X1),rd(X2,X2)),
inference(spm,[status(thm)],[c_0_42,c_0_22]) ).
cnf(c_0_51,plain,
mult(ld(rd(rd(X1,X2),X3),rd(X4,X2)),X2) = ld(rd(X1,mult(X3,X2)),X4),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_52,plain,
rd(ld(rd(mult(X1,X2),X3),X4),X2) = ld(rd(X1,rd(X3,X2)),rd(X4,X2)),
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
cnf(c_0_53,plain,
rd(mult(X1,X2),ld(mult(X1,X3),X4)) = mult(X1,rd(X2,ld(X3,ld(X1,X4)))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,plain,
ld(ld(rd(rd(X1,X1),X2),ld(X3,X3)),X1) = ld(X2,ld(ld(X3,X3),X1)),
inference(spm,[status(thm)],[c_0_47,c_0_26]) ).
cnf(c_0_55,plain,
rd(mult(X1,mult(X2,X3)),X3) = mult(rd(X1,rd(X3,X3)),X2),
inference(spm,[status(thm)],[c_0_8,c_0_48]) ).
cnf(c_0_56,plain,
ld(ld(X1,rd(X2,rd(X3,X3))),ld(X2,X2)) = ld(ld(X1,X2),rd(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_49]),c_0_28]) ).
cnf(c_0_57,plain,
mult(ld(rd(X1,rd(X2,X3)),rd(X4,X3)),X3) = ld(rd(mult(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_43,c_0_18]) ).
cnf(c_0_58,plain,
ld(rd(X1,X2),rd(mult(X1,ld(X2,X3)),X3)) = ld(rd(X2,X2),rd(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_22]),c_0_50]) ).
cnf(c_0_59,plain,
ld(rd(X1,mult(rd(X2,X3),X2)),mult(rd(X1,X2),X3)) = mult(rd(X3,X3),X2),
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_60,plain,
mult(ld(rd(X1,X1),rd(X2,X2)),ld(X1,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_11,c_0_50]) ).
cnf(c_0_61,plain,
ld(rd(rd(X1,X2),rd(X3,X2)),rd(X4,X2)) = rd(ld(rd(X1,X3),X4),X2),
inference(spm,[status(thm)],[c_0_52,c_0_11]) ).
cnf(c_0_62,plain,
mult(X1,rd(X2,ld(ld(X1,X3),ld(X1,X4)))) = rd(mult(X1,X2),ld(X3,X4)),
inference(spm,[status(thm)],[c_0_53,c_0_16]) ).
cnf(c_0_63,plain,
rd(X1,ld(X2,ld(ld(X3,X3),X1))) = ld(rd(rd(X1,X1),X2),ld(X3,X3)),
inference(spm,[status(thm)],[c_0_22,c_0_54]) ).
cnf(c_0_64,plain,
mult(rd(X1,rd(ld(X2,X3),ld(X2,X3))),X2) = rd(mult(X1,X3),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_55,c_0_16]) ).
cnf(c_0_65,plain,
rd(ld(X1,X1),ld(ld(X2,X1),rd(X3,X3))) = ld(X2,rd(X1,rd(X3,X3))),
inference(spm,[status(thm)],[c_0_22,c_0_56]) ).
cnf(c_0_66,plain,
ld(rd(mult(X1,X2),X3),mult(X1,ld(rd(X3,X2),X2))) = ld(rd(X3,X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_57]),c_0_11]) ).
cnf(c_0_67,plain,
rd(mult(rd(X1,X2),X3),mult(rd(X3,X3),X2)) = rd(X1,mult(rd(X2,X3),X2)),
inference(spm,[status(thm)],[c_0_22,c_0_59]) ).
cnf(c_0_68,plain,
mult(rd(ld(rd(X1,X1),X2),X2),ld(rd(X1,X2),X2)) = ld(rd(X1,X2),X2),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
rd(mult(ld(X1,X1),X2),ld(X3,X2)) = ld(rd(mult(X1,rd(X2,X2)),X3),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_39]),c_0_45]) ).
cnf(c_0_70,plain,
mult(rd(X1,ld(rd(X2,X2),rd(X3,X3))),X2) = rd(mult(X1,X3),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_64,c_0_50]) ).
cnf(c_0_71,plain,
rd(ld(X1,X1),ld(X2,rd(X3,X3))) = ld(rd(X1,X2),rd(X1,rd(X3,X3))),
inference(spm,[status(thm)],[c_0_65,c_0_26]) ).
cnf(c_0_72,plain,
mult(ld(rd(X1,rd(X2,X2)),X3),X2) = ld(X1,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_11,c_0_31]) ).
cnf(c_0_73,plain,
rd(mult(X1,ld(rd(X2,X3),X3)),ld(rd(X2,X2),X3)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_22,c_0_66]) ).
cnf(c_0_74,plain,
rd(ld(rd(X1,X2),X2),ld(rd(X1,X1),X2)) = rd(ld(rd(X1,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_67,c_0_68]),c_0_50]),c_0_61]),c_0_11]),c_0_22]),c_0_11]) ).
cnf(c_0_75,plain,
ld(mult(rd(X1,rd(X2,X2)),X3),mult(X1,mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_48]) ).
cnf(c_0_76,plain,
ld(rd(mult(X1,rd(X2,X2)),rd(X2,X3)),X1) = rd(mult(ld(X1,X1),X2),X3),
inference(spm,[status(thm)],[c_0_69,c_0_26]) ).
cnf(c_0_77,plain,
ld(rd(mult(X1,rd(X2,X2)),X3),X1) = ld(X1,mult(rd(X1,rd(X2,X2)),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_69]) ).
cnf(c_0_78,plain,
rd(mult(X1,ld(rd(X2,X2),X3)),ld(rd(X2,X3),X3)) = rd(mult(X1,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_26]),c_0_50]),c_0_61]),c_0_26]) ).
cnf(c_0_79,plain,
ld(ld(X1,mult(rd(X1,rd(X2,X2)),X3)),mult(X3,X2)) = ld(ld(X1,X1),X2),
inference(spm,[status(thm)],[c_0_28,c_0_75]) ).
cnf(c_0_80,plain,
ld(X1,mult(rd(X1,rd(X2,X2)),rd(X2,X3))) = rd(mult(ld(X1,X1),X2),X3),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,plain,
ld(rd(mult(X1,X2),X3),mult(X4,X2)) = mult(ld(rd(X1,rd(X3,X2)),X4),X2),
inference(spm,[status(thm)],[c_0_72,c_0_21]) ).
cnf(c_0_82,plain,
ld(rd(mult(X1,X2),X3),mult(X1,ld(rd(X2,X2),X3))) = ld(rd(X2,X3),X3),
inference(spm,[status(thm)],[c_0_26,c_0_78]) ).
cnf(c_0_83,plain,
rd(ld(mult(X1,X2),X3),ld(X2,ld(X1,X3))) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_8,c_0_39]) ).
cnf(c_0_84,plain,
mult(ld(rd(ld(X1,X1),rd(X2,X3)),rd(X3,X2)),X3) = ld(ld(X1,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_85,plain,
rd(ld(X1,mult(X2,X3)),ld(ld(X2,X1),X3)) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_8,c_0_23]) ).
cnf(c_0_86,plain,
ld(rd(X1,X2),mult(rd(X1,X3),ld(rd(X3,X3),X2))) = ld(rd(X3,X2),X2),
inference(spm,[status(thm)],[c_0_82,c_0_11]) ).
cnf(c_0_87,plain,
rd(ld(mult(rd(X1,X2),X3),X1),ld(X3,X2)) = ld(rd(X1,X2),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_83,c_0_26]) ).
cnf(c_0_88,plain,
ld(rd(ld(X1,X1),rd(X2,X3)),rd(X3,X2)) = rd(ld(ld(X1,X1),X3),X3),
inference(spm,[status(thm)],[c_0_8,c_0_84]) ).
cnf(c_0_89,plain,
rd(ld(X1,X2),ld(ld(rd(X2,X3),X1),X3)) = ld(rd(X2,X3),rd(X2,X3)),
inference(spm,[status(thm)],[c_0_85,c_0_11]) ).
cnf(c_0_90,plain,
ld(rd(X1,X1),rd(X1,mult(X1,X1))) = rd(ld(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_86]),c_0_44]),c_0_32]) ).
cnf(c_0_91,plain,
rd(rd(X1,X2),rd(X3,X3)) = rd(rd(X1,X3),rd(X2,X3)),
inference(spm,[status(thm)],[c_0_21,c_0_11]) ).
cnf(c_0_92,plain,
rd(ld(X1,X1),ld(X2,X2)) = ld(rd(X1,X2),rd(X1,X2)),
inference(spm,[status(thm)],[c_0_87,c_0_11]) ).
cnf(c_0_93,plain,
ld(rd(ld(X1,X1),X2),rd(X3,mult(X2,X3))) = rd(ld(ld(X1,X1),X3),X3),
inference(spm,[status(thm)],[c_0_88,c_0_8]) ).
cnf(c_0_94,plain,
rd(mult(X1,X1),ld(rd(ld(X1,X1),X1),X1)) = ld(rd(X1,X1),rd(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_26]) ).
cnf(c_0_95,plain,
rd(rd(ld(X1,X1),X2),rd(ld(X3,X3),X2)) = rd(ld(rd(X1,X3),rd(X1,X3)),rd(X2,X2)),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_96,plain,
mult(rd(ld(X1,X1),X2),rd(ld(ld(X1,X1),X3),X3)) = rd(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_16,c_0_93]) ).
cnf(c_0_97,plain,
rd(rd(X1,mult(X2,X3)),rd(X3,X3)) = rd(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_8,c_0_32]) ).
cnf(c_0_98,plain,
rd(mult(X1,X1),mult(X2,ld(rd(ld(X1,X1),X1),X1))) = rd(X1,mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_94]),c_0_50]),c_0_95]),c_0_44]),c_0_96]) ).
cnf(c_0_99,plain,
ld(rd(X1,mult(X2,X3)),mult(X4,X3)) = mult(ld(rd(rd(X1,X3),X2),X4),X3),
inference(spm,[status(thm)],[c_0_72,c_0_97]) ).
cnf(c_0_100,plain,
mult(rd(X1,rd(X2,X2)),rd(X3,X2)) = rd(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_55,c_0_11]) ).
cnf(c_0_101,plain,
rd(ld(X1,X2),ld(ld(X1,X1),X3)) = ld(X1,rd(X2,X3)),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_102,plain,
mult(X1,ld(rd(ld(X2,X2),X2),X2)) = mult(ld(rd(rd(X2,X2),X1),X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_98]),c_0_99]) ).
cnf(c_0_103,plain,
rd(rd(mult(X1,X2),X3),rd(X2,X3)) = rd(X1,rd(X3,X3)),
inference(spm,[status(thm)],[c_0_8,c_0_100]) ).
cnf(c_0_104,plain,
rd(X1,ld(X1,mult(rd(X1,rd(X2,X2)),X3))) = rd(mult(X1,rd(X2,X2)),X3),
inference(spm,[status(thm)],[c_0_22,c_0_77]) ).
cnf(c_0_105,plain,
ld(X1,rd(X2,ld(mult(X1,X3),X4))) = rd(ld(X1,X2),ld(X3,ld(X1,X4))),
inference(spm,[status(thm)],[c_0_101,c_0_46]) ).
cnf(c_0_106,plain,
ld(X1,mult(ld(rd(rd(X2,X2),X1),X2),X2)) = ld(rd(ld(X2,X2),X2),X2),
inference(spm,[status(thm)],[c_0_12,c_0_102]) ).
cnf(c_0_107,plain,
rd(rd(X1,X2),rd(ld(X3,X1),X2)) = rd(X3,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_103,c_0_16]) ).
cnf(c_0_108,plain,
mult(X1,mult(ld(X2,X2),X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_109,plain,
rd(mult(X1,rd(X2,X2)),ld(rd(X1,rd(X2,X2)),X3)) = rd(X1,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_104,c_0_16]) ).
cnf(c_0_110,plain,
rd(ld(X1,X2),ld(ld(X1,X3),ld(X1,X4))) = ld(X1,rd(X2,ld(X3,X4))),
inference(spm,[status(thm)],[c_0_105,c_0_16]) ).
cnf(c_0_111,plain,
mult(X1,rd(ld(X1,X2),ld(X3,ld(X1,X4)))) = rd(X2,ld(mult(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_25,c_0_39]) ).
cnf(c_0_112,plain,
ld(rd(ld(X1,X2),X2),ld(X1,mult(X2,X2))) = ld(rd(ld(X2,X2),X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_72]) ).
cnf(c_0_113,plain,
mult(X1,mult(ld(X1,mult(X2,rd(X3,X3))),X3)) = mult(mult(X2,ld(X1,X1)),X3),
inference(spm,[status(thm)],[c_0_9,c_0_108]) ).
cnf(c_0_114,plain,
ld(rd(X1,ld(X1,X2)),mult(X1,rd(X3,X3))) = ld(rd(X1,rd(X3,X3)),X2),
inference(spm,[status(thm)],[c_0_26,c_0_109]) ).
cnf(c_0_115,plain,
ld(rd(X1,ld(X1,X2)),rd(X1,ld(X1,X2))) = ld(X1,rd(X1,ld(X2,X2))),
inference(spm,[status(thm)],[c_0_92,c_0_110]) ).
cnf(c_0_116,plain,
rd(mult(X1,ld(X2,X3)),ld(mult(X2,ld(X1,X2)),X3)) = mult(X2,ld(X1,X1)),
inference(spm,[status(thm)],[c_0_111,c_0_85]) ).
cnf(c_0_117,plain,
mult(rd(X1,ld(ld(X2,X2),X3)),X3) = mult(ld(X2,X2),ld(rd(X3,X3),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_43]),c_0_38]) ).
cnf(c_0_118,plain,
ld(ld(rd(X1,rd(X2,X1)),rd(X1,X1)),X2) = ld(rd(ld(X1,X1),X1),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_26]),c_0_52]) ).
cnf(c_0_119,plain,
mult(rd(X1,ld(X1,X2)),ld(X1,mult(X2,X3))) = mult(rd(X1,ld(X2,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_72]),c_0_115]),c_0_16]) ).
cnf(c_0_120,plain,
ld(mult(X1,ld(X2,X2)),mult(X2,ld(X1,X3))) = ld(mult(X1,ld(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_26,c_0_116]) ).
cnf(c_0_121,plain,
mult(rd(X1,ld(X1,X2)),ld(X1,rd(X1,ld(X2,X2)))) = rd(X1,ld(X1,X2)),
inference(spm,[status(thm)],[c_0_16,c_0_115]) ).
cnf(c_0_122,plain,
rd(mult(ld(X1,X1),ld(rd(X2,X2),X3)),X2) = rd(X3,ld(ld(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_8,c_0_117]) ).
cnf(c_0_123,plain,
rd(mult(ld(X1,X1),X2),ld(X3,X2)) = ld(X1,mult(rd(X1,rd(X2,X2)),X3)),
inference(rw,[status(thm)],[c_0_69,c_0_77]) ).
cnf(c_0_124,plain,
rd(X1,ld(rd(ld(X2,X2),X2),X2)) = ld(rd(X2,rd(X1,X2)),rd(X2,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_118]) ).
cnf(c_0_125,plain,
ld(rd(X1,ld(X1,X2)),mult(rd(X1,ld(X2,X2)),X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_119]) ).
cnf(c_0_126,plain,
ld(rd(X1,ld(X2,X2)),rd(X1,ld(X1,X2))) = ld(X2,rd(X1,ld(X2,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_115]),c_0_16]),c_0_26]),c_0_16]) ).
cnf(c_0_127,plain,
rd(mult(rd(X1,X1),X2),ld(ld(X3,X3),X1)) = rd(mult(ld(X3,X3),X2),X1),
inference(spm,[status(thm)],[c_0_122,c_0_12]) ).
cnf(c_0_128,plain,
rd(ld(X1,X1),ld(ld(X2,X2),X1)) = ld(rd(X1,ld(X2,X2)),rd(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_8]),c_0_100]),c_0_38]) ).
cnf(c_0_129,plain,
ld(rd(X1,ld(X2,X2)),mult(rd(X1,ld(X1,X2)),X3)) = ld(X2,mult(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_22]),c_0_115]),c_0_22]) ).
cnf(c_0_130,plain,
rd(rd(X1,X1),rd(ld(ld(X2,X2),X1),X3)) = rd(ld(X2,X2),rd(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_127]),c_0_21]) ).
cnf(c_0_131,plain,
mult(rd(mult(X1,X2),X3),ld(rd(X3,X3),X2)) = mult(X1,ld(rd(X3,X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_66]) ).
cnf(c_0_132,plain,
rd(mult(X1,rd(X2,X2)),rd(ld(X1,X3),X2)) = rd(X1,ld(X1,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_109,c_0_44]) ).
cnf(c_0_133,plain,
mult(X1,ld(rd(X2,ld(X1,X1)),rd(X2,X2))) = rd(mult(X1,ld(X2,X2)),X2),
inference(spm,[status(thm)],[c_0_45,c_0_128]) ).
cnf(c_0_134,plain,
rd(mult(rd(X1,ld(X1,X2)),X3),ld(X2,mult(X1,X3))) = rd(X1,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_129]) ).
cnf(c_0_135,plain,
mult(mult(X1,X2),ld(mult(X1,X3),X4)) = mult(X1,mult(X2,ld(X3,ld(X1,X4)))),
inference(spm,[status(thm)],[c_0_13,c_0_39]) ).
cnf(c_0_136,plain,
mult(X1,ld(ld(rd(X2,X1),rd(X2,X1)),X3)) = ld(rd(X2,X1),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_29,c_0_11]) ).
cnf(c_0_137,plain,
ld(rd(ld(X1,X1),rd(X2,X3)),rd(X2,X2)) = rd(ld(ld(X1,X1),X2),X3),
inference(spm,[status(thm)],[c_0_26,c_0_130]) ).
cnf(c_0_138,plain,
mult(rd(mult(X1,mult(rd(X2,X2),X3)),X2),X3) = mult(X1,mult(rd(X3,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_12]),c_0_99]),c_0_44]),c_0_26]) ).
cnf(c_0_139,plain,
rd(mult(mult(X1,rd(X2,X2)),X3),X2) = mult(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_100,c_0_8]) ).
cnf(c_0_140,plain,
mult(rd(X1,ld(X1,rd(X2,X3))),rd(ld(X1,X2),X3)) = mult(X1,rd(X3,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_132]) ).
cnf(c_0_141,plain,
rd(mult(mult(X1,X2),ld(X1,X1)),X1) = mult(X1,ld(rd(X1,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(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_133,c_0_134]),c_0_19]),c_0_25]),c_0_92]),c_0_12]),c_0_11]),c_0_12]),c_0_11]),c_0_135]),c_0_136]),c_0_16]),c_0_12]),c_0_11]),c_0_12]),c_0_11]),c_0_12]),c_0_11]) ).
cnf(c_0_142,plain,
rd(ld(ld(X1,X1),X2),ld(X3,X2)) = ld(rd(ld(X1,X1),X3),rd(X2,X2)),
inference(spm,[status(thm)],[c_0_137,c_0_22]) ).
cnf(c_0_143,plain,
ld(X1,mult(X2,mult(ld(X2,X1),X3))) = mult(ld(X2,X2),X3),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_144,plain,
mult(mult(X1,rd(mult(rd(X2,X2),X3),X2)),X3) = mult(mult(X1,rd(X2,X2)),mult(rd(X3,X2),X3)),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,plain,
mult(rd(X1,rd(X2,ld(ld(X1,X1),X3))),rd(X2,X3)) = mult(X1,rd(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_12]),c_0_38]) ).
cnf(c_0_146,plain,
mult(mult(X1,ld(rd(X1,X2),rd(X1,X1))),X1) = mult(mult(X1,X2),ld(X1,X1)),
inference(spm,[status(thm)],[c_0_11,c_0_141]) ).
cnf(c_0_147,plain,
mult(ld(rd(ld(X1,X1),X2),rd(X3,X3)),ld(X2,X3)) = ld(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_11,c_0_142]) ).
cnf(c_0_148,plain,
ld(X1,mult(rd(X1,X2),mult(X2,X3))) = mult(ld(rd(X1,X2),rd(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_143,c_0_26]) ).
cnf(c_0_149,plain,
mult(mult(X1,rd(X2,X3)),mult(rd(X3,X2),X3)) = mult(mult(X1,rd(X2,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_127]),c_0_18]),c_0_25]),c_0_12]) ).
cnf(c_0_150,plain,
mult(mult(X1,ld(X2,X1)),ld(X1,X1)) = mult(mult(X1,ld(X2,rd(X1,X1))),X1),
inference(spm,[status(thm)],[c_0_146,c_0_22]) ).
cnf(c_0_151,plain,
mult(ld(rd(X1,X2),mult(X1,rd(X3,X3))),X3) = mult(X2,ld(ld(X1,X1),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_147]),c_0_92]),c_0_136]) ).
cnf(c_0_152,plain,
mult(X1,mult(ld(rd(X1,X2),rd(X1,X2)),X3)) = mult(rd(X1,X2),mult(X2,X3)),
inference(spm,[status(thm)],[c_0_16,c_0_148]) ).
cnf(c_0_153,plain,
ld(rd(rd(X1,X2),X3),rd(X1,mult(X3,X2))) = rd(X2,X2),
inference(spm,[status(thm)],[c_0_12,c_0_32]) ).
cnf(c_0_154,plain,
mult(mult(X1,rd(X2,X2)),X3) = mult(mult(X1,rd(X3,X2)),X2),
inference(spm,[status(thm)],[c_0_9,c_0_11]) ).
cnf(c_0_155,plain,
mult(mult(rd(X1,rd(X2,X3)),rd(X2,X2)),X3) = mult(X1,mult(rd(X3,X2),X3)),
inference(spm,[status(thm)],[c_0_149,c_0_11]) ).
cnf(c_0_156,plain,
ld(X1,mult(X2,mult(ld(X2,mult(X1,X3)),X4))) = mult(X3,ld(ld(X1,X1),mult(ld(X2,X2),X4))),
inference(spm,[status(thm)],[c_0_29,c_0_108]) ).
cnf(c_0_157,plain,
mult(ld(rd(X1,X2),mult(X1,X2)),ld(X2,X2)) = mult(X2,ld(ld(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_136]),c_0_136]),c_0_151]) ).
cnf(c_0_158,plain,
mult(rd(X1,X2),mult(X2,ld(ld(X1,X1),X3))) = mult(mult(X1,ld(rd(X1,X2),rd(X1,X2))),X3),
inference(spm,[status(thm)],[c_0_24,c_0_152]) ).
cnf(c_0_159,plain,
mult(ld(rd(X1,X2),rd(X1,X2)),ld(X3,X2)) = ld(mult(rd(X1,X2),X3),X1),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_160,plain,
mult(ld(rd(X1,X2),rd(X1,X2)),ld(X2,X3)) = ld(X1,mult(rd(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_161,plain,
ld(rd(rd(X1,ld(X2,X3)),X2),rd(X1,X3)) = ld(rd(X2,X2),rd(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_16]),c_0_50]) ).
cnf(c_0_162,plain,
mult(mult(rd(X1,rd(X2,X2)),rd(X2,X3)),X3) = mult(X1,mult(rd(X3,X3),X2)),
inference(spm,[status(thm)],[c_0_48,c_0_154]) ).
cnf(c_0_163,plain,
mult(rd(X1,mult(rd(X2,X3),X2)),X3) = mult(rd(X1,X2),mult(rd(X3,X2),X3)),
inference(spm,[status(thm)],[c_0_155,c_0_32]) ).
cnf(c_0_164,plain,
mult(ld(X1,X2),ld(ld(X1,X1),X3)) = ld(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_165,plain,
mult(X1,ld(ld(X2,X2),ld(X2,X2))) = ld(mult(rd(X2,X1),ld(X2,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_156,c_0_157]),c_0_158]),c_0_29]),c_0_159]),c_0_160]),c_0_11]) ).
cnf(c_0_166,plain,
ld(rd(mult(rd(X1,ld(rd(X2,X3),X3)),X3),X2),X1) = ld(rd(X2,X2),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_161]),c_0_57]),c_0_11]) ).
cnf(c_0_167,plain,
mult(rd(mult(X1,X2),X3),mult(rd(X3,X2),X3)) = mult(X1,mult(rd(X2,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_100]),c_0_48]) ).
cnf(c_0_168,plain,
rd(mult(ld(X1,rd(X2,X3)),X3),ld(rd(X3,X3),ld(X1,X2))) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_83,c_0_43]) ).
cnf(c_0_169,plain,
mult(rd(ld(rd(X1,X1),X2),X1),ld(rd(X1,X1),X2)) = ld(rd(X1,X2),X2),
inference(spm,[status(thm)],[c_0_11,c_0_74]) ).
cnf(c_0_170,plain,
mult(mult(rd(X1,rd(X2,X2)),X3),ld(X3,X2)) = mult(X1,mult(ld(rd(X3,X3),rd(X2,X2)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_22]),c_0_50]) ).
cnf(c_0_171,plain,
mult(rd(rd(X1,X2),rd(X3,X3)),rd(X3,X2)) = rd(X1,mult(rd(X2,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_163]),c_0_55]) ).
cnf(c_0_172,plain,
ld(rd(rd(X1,X2),rd(X3,X2)),rd(X1,X3)) = rd(X2,X2),
inference(spm,[status(thm)],[c_0_36,c_0_11]) ).
cnf(c_0_173,plain,
rd(mult(X1,ld(mult(X2,ld(X1,X1)),X3)),ld(X2,X3)) = mult(X1,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_83]) ).
cnf(c_0_174,plain,
ld(mult(rd(X1,ld(X1,X2)),ld(X1,X1)),X1) = ld(X1,mult(X2,ld(X1,X1))),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_175,plain,
rd(mult(rd(X1,ld(rd(X2,X3),X3)),X3),X2) = rd(X1,ld(rd(X2,X2),X3)),
inference(spm,[status(thm)],[c_0_22,c_0_166]) ).
cnf(c_0_176,plain,
ld(mult(X1,rd(X2,ld(X1,X3))),X3) = mult(ld(X1,rd(X3,X2)),ld(X1,X3)),
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_39]),c_0_16]) ).
cnf(c_0_177,plain,
mult(rd(X1,mult(rd(X2,X3),X2)),X2) = mult(rd(X1,X2),mult(rd(X2,X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_26]),c_0_172]) ).
cnf(c_0_178,plain,
mult(mult(X1,X2),ld(X3,mult(X1,X4))) = mult(X1,mult(X2,ld(ld(X1,X3),X4))),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_179,plain,
mult(mult(X1,rd(X2,X2)),ld(X3,mult(X4,X2))) = mult(mult(X1,ld(rd(X3,rd(X2,X2)),X4)),X2),
inference(spm,[status(thm)],[c_0_9,c_0_72]) ).
cnf(c_0_180,plain,
rd(mult(X1,ld(X2,X2)),ld(X2,X1)) = rd(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_173,c_0_174]),c_0_16]),c_0_26]),c_0_115]),c_0_16]) ).
cnf(c_0_181,plain,
rd(ld(rd(mult(ld(X1,X1),X2),X3),X2),X3) = ld(rd(ld(X1,X1),rd(X3,X3)),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_142]),c_0_57]),c_0_142]) ).
cnf(c_0_182,plain,
mult(rd(X1,ld(X2,X2)),ld(X2,mult(X1,X3))) = mult(rd(X1,ld(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_16,c_0_129]) ).
cnf(c_0_183,plain,
mult(X1,mult(ld(X1,X2),ld(ld(X2,X2),X3))) = mult(mult(X2,ld(X1,X1)),X3),
inference(spm,[status(thm)],[c_0_24,c_0_108]) ).
cnf(c_0_184,plain,
mult(rd(X1,ld(ld(X2,X2),X3)),X1) = mult(ld(X2,X2),ld(rd(X3,X1),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_176]),c_0_38]),c_0_12]),c_0_12]) ).
cnf(c_0_185,plain,
rd(mult(ld(X1,X1),ld(X2,X3)),X3) = ld(rd(mult(X1,X2),rd(X3,X3)),X1),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_186,plain,
rd(mult(rd(X1,mult(X2,X3)),X4),X3) = mult(rd(rd(X1,X3),X2),rd(X4,X3)),
inference(spm,[status(thm)],[c_0_100,c_0_97]) ).
cnf(c_0_187,plain,
rd(mult(X1,mult(rd(X2,X2),X3)),X2) = mult(rd(X1,rd(X2,X3)),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_18]),c_0_11]),c_0_100]),c_0_100]) ).
cnf(c_0_188,plain,
mult(X1,mult(rd(X2,X2),ld(ld(X1,X3),X2))) = mult(mult(X1,ld(rd(X3,rd(X2,X2)),X1)),X2),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_189,plain,
ld(ld(X1,X2),ld(X1,mult(X2,X3))) = ld(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_12,c_0_164]) ).
cnf(c_0_190,plain,
ld(rd(X1,ld(X2,X2)),mult(X2,ld(X1,X1))) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_180]) ).
cnf(c_0_191,plain,
ld(ld(rd(X1,X2),rd(X1,X2)),ld(X3,X1)) = ld(ld(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_28,c_0_11]) ).
cnf(c_0_192,plain,
rd(X1,ld(ld(X2,X2),mult(X3,X1))) = ld(X2,mult(rd(X2,X3),rd(X1,X1))),
inference(spm,[status(thm)],[c_0_38,c_0_14]) ).
cnf(c_0_193,plain,
ld(rd(mult(ld(X1,X1),X2),X3),X2) = ld(ld(X1,X1),mult(rd(X2,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_181]),c_0_72]) ).
cnf(c_0_194,plain,
mult(X1,ld(X2,mult(mult(X1,ld(X2,X2)),X3))) = mult(mult(X1,ld(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_8]),c_0_53]),c_0_101]),c_0_22]) ).
cnf(c_0_195,plain,
mult(mult(X1,ld(X2,X2)),ld(X1,X1)) = mult(X2,ld(mult(X2,ld(X1,X1)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_165]),c_0_22]) ).
cnf(c_0_196,plain,
ld(rd(mult(X1,rd(X2,X3)),rd(X3,X3)),X1) = rd(X3,ld(ld(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_184]),c_0_185]) ).
cnf(c_0_197,plain,
rd(mult(mult(X1,rd(ld(X1,X2),X3)),X4),X3) = mult(rd(rd(X2,X3),ld(X1,X1)),rd(X4,X3)),
inference(spm,[status(thm)],[c_0_186,c_0_25]) ).
cnf(c_0_198,plain,
mult(rd(X1,ld(X1,X2)),rd(X3,X3)) = mult(X1,ld(rd(X2,rd(X3,X3)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_8]),c_0_22]) ).
cnf(c_0_199,plain,
rd(X1,mult(ld(X2,X3),ld(X3,X1))) = mult(X2,rd(ld(X3,X1),ld(X3,X1))),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_200,plain,
ld(ld(rd(X1,ld(X2,X2)),X2),ld(X1,X2)) = ld(ld(X2,X2),ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191]),c_0_26]) ).
cnf(c_0_201,plain,
mult(ld(X1,mult(rd(X1,X2),rd(X3,X3))),X3) = mult(ld(X1,X1),ld(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_192]),c_0_8]) ).
cnf(c_0_202,plain,
ld(mult(X1,rd(ld(X1,X2),X3)),X2) = mult(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_203,plain,
rd(ld(X1,X2),ld(ld(X3,X1),ld(X3,X2))) = ld(X3,X3),
inference(spm,[status(thm)],[c_0_83,c_0_16]) ).
cnf(c_0_204,plain,
rd(ld(mult(ld(X1,X1),rd(X2,X3)),X2),X3) = ld(ld(X1,X1),rd(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_193]),c_0_18]),c_0_11]) ).
cnf(c_0_205,plain,
mult(ld(X1,mult(rd(X1,rd(X2,X2)),X3)),ld(X3,X2)) = mult(ld(X1,X1),X2),
inference(spm,[status(thm)],[c_0_11,c_0_123]) ).
cnf(c_0_206,plain,
mult(X1,ld(mult(X2,ld(X1,X1)),X1)) = mult(mult(X1,ld(X2,rd(X1,X1))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_12]),c_0_150]) ).
cnf(c_0_207,plain,
ld(rd(mult(X1,X2),rd(X3,X3)),X1) = ld(X1,mult(rd(X1,X2),rd(X3,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_8]),c_0_192]) ).
cnf(c_0_208,plain,
rd(mult(X1,rd(ld(X1,X2),X3)),rd(X3,X3)) = rd(rd(X2,X3),ld(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_197]),c_0_8]) ).
cnf(c_0_209,plain,
rd(X1,mult(ld(rd(X1,X2),X3),X2)) = mult(rd(X1,X2),rd(ld(X3,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_198]),c_0_44]) ).
cnf(c_0_210,plain,
rd(X1,mult(ld(X2,X3),ld(X3,X1))) = mult(X2,ld(rd(X3,X3),rd(X1,X1))),
inference(rw,[status(thm)],[c_0_199,c_0_50]) ).
cnf(c_0_211,plain,
rd(ld(X1,X2),ld(ld(X2,X2),ld(X2,X2))) = ld(rd(X1,ld(X2,X2)),X2),
inference(spm,[status(thm)],[c_0_22,c_0_200]) ).
cnf(c_0_212,plain,
mult(X1,mult(ld(X1,X1),ld(X2,X3))) = mult(mult(rd(X1,X2),ld(X1,X1)),X3),
inference(spm,[status(thm)],[c_0_113,c_0_201]) ).
cnf(c_0_213,plain,
mult(ld(X1,X1),ld(ld(X2,X1),ld(X2,X3))) = ld(mult(X1,ld(X2,X2)),X3),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_214,plain,
ld(mult(ld(X1,X1),rd(X2,X3)),X2) = mult(ld(ld(X1,X1),rd(X2,X2)),X3),
inference(spm,[status(thm)],[c_0_11,c_0_204]) ).
cnf(c_0_215,plain,
mult(ld(X1,X2),ld(ld(rd(X1,rd(X3,X3)),X2),X3)) = mult(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_205,c_0_16]) ).
cnf(c_0_216,plain,
rd(mult(mult(X1,ld(X2,rd(X1,X1))),X1),ld(X2,X1)) = mult(X1,ld(X2,X2)),
inference(spm,[status(thm)],[c_0_173,c_0_206]) ).
cnf(c_0_217,plain,
rd(X1,ld(ld(X2,X2),ld(X2,X3))) = ld(rd(rd(X3,X1),ld(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_18]),c_0_38]) ).
cnf(c_0_218,plain,
rd(X1,mult(ld(X2,X3),ld(X2,X1))) = mult(X2,rd(ld(X3,X1),ld(X2,X1))),
inference(spm,[status(thm)],[c_0_209,c_0_22]) ).
cnf(c_0_219,plain,
ld(mult(X1,ld(rd(X2,X2),rd(X3,X3))),X3) = mult(ld(X1,X2),ld(X2,X3)),
inference(spm,[status(thm)],[c_0_26,c_0_210]) ).
cnf(c_0_220,plain,
rd(mult(X1,ld(X2,X1)),ld(X1,X1)) = mult(X1,ld(rd(X2,ld(X1,X1)),X1)),
inference(spm,[status(thm)],[c_0_45,c_0_211]) ).
cnf(c_0_221,plain,
mult(mult(X1,ld(X2,X2)),ld(X1,X3)) = mult(X2,ld(mult(X2,ld(X1,X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_22]) ).
cnf(c_0_222,plain,
mult(rd(X1,mult(rd(X2,X2),X3)),X2) = mult(rd(X1,X2),mult(rd(X2,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_91]),c_0_32]) ).
cnf(c_0_223,plain,
mult(X1,mult(ld(X1,X2),ld(ld(X1,X3),X4))) = mult(X2,ld(X3,mult(X1,X4))),
inference(spm,[status(thm)],[c_0_178,c_0_16]) ).
cnf(c_0_224,plain,
mult(ld(ld(X1,X1),rd(X2,X2)),ld(X3,X2)) = ld(mult(ld(X1,X1),X3),X2),
inference(spm,[status(thm)],[c_0_214,c_0_22]) ).
cnf(c_0_225,plain,
mult(ld(X1,rd(X2,X3)),ld(rd(ld(X1,X2),X3),X3)) = mult(ld(X1,X1),X3),
inference(spm,[status(thm)],[c_0_215,c_0_44]) ).
cnf(c_0_226,plain,
ld(mult(X1,ld(rd(X2,ld(X1,X1)),X1)),X1) = ld(X1,mult(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_216,c_0_217]),c_0_50]),c_0_164]),c_0_218]),c_0_219]),c_0_8]),c_0_220]),c_0_164]) ).
cnf(c_0_227,plain,
rd(X1,ld(X1,mult(X2,ld(X1,X1)))) = mult(rd(X1,ld(X1,X2)),ld(X1,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_174]) ).
cnf(c_0_228,plain,
mult(mult(X1,ld(X2,X1)),ld(X1,X3)) = mult(X1,ld(mult(X2,ld(X1,X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_221]),c_0_12]) ).
cnf(c_0_229,plain,
mult(rd(rd(X1,X2),rd(X2,X2)),rd(X2,X3)) = rd(X1,mult(rd(X2,X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_222]),c_0_55]) ).
cnf(c_0_230,plain,
mult(rd(X1,X1),ld(X2,mult(ld(X3,X3),X1))) = mult(ld(X3,X3),ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_16]) ).
cnf(c_0_231,plain,
ld(ld(X1,rd(X2,X3)),mult(ld(X1,X1),X3)) = ld(rd(ld(X1,X2),X3),X3),
inference(spm,[status(thm)],[c_0_12,c_0_225]) ).
cnf(c_0_232,plain,
mult(rd(X1,ld(X1,X2)),ld(X1,X1)) = mult(X1,ld(rd(X2,ld(X1,X1)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_226]),c_0_227]) ).
cnf(c_0_233,plain,
mult(ld(X1,X2),ld(ld(X2,X2),ld(X2,X3))) = ld(mult(X1,ld(X2,X2)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_228]),c_0_12]) ).
cnf(c_0_234,negated_conjecture,
f(a,f(b,f(a,c))) != f(f(f(a,b),a),c),
goals ).
cnf(c_0_235,axiom,
f(X1,X2) = mult(rd(X1,op_c),ld(op_c,X2)),
c07 ).
cnf(c_0_236,plain,
rd(X1,mult(rd(X2,X2),ld(X3,X2))) = mult(rd(rd(X1,X2),rd(X2,X2)),X3),
inference(spm,[status(thm)],[c_0_229,c_0_22]) ).
cnf(c_0_237,plain,
mult(rd(X1,X1),ld(rd(ld(X2,X3),X1),X1)) = ld(rd(X3,X1),mult(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_23]) ).
cnf(c_0_238,plain,
mult(mult(X1,ld(rd(X2,ld(X1,X1)),X1)),X3) = mult(X1,ld(X2,mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_212]),c_0_232]) ).
cnf(c_0_239,plain,
mult(X1,ld(rd(rd(X2,X3),ld(X1,X1)),X1)) = rd(mult(X1,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_217]) ).
cnf(c_0_240,plain,
mult(X1,ld(ld(X2,X2),ld(X2,X3))) = ld(mult(rd(X2,X1),ld(X2,X2)),X3),
inference(spm,[status(thm)],[c_0_233,c_0_26]) ).
cnf(c_0_241,negated_conjecture,
mult(rd(a,op_c),ld(op_c,mult(rd(b,op_c),ld(op_c,mult(rd(a,op_c),ld(op_c,c)))))) != mult(rd(mult(rd(mult(rd(a,op_c),ld(op_c,b)),op_c),ld(op_c,a)),op_c),ld(op_c,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_235]),c_0_235]),c_0_235]),c_0_235]),c_0_235]),c_0_235]) ).
cnf(c_0_242,plain,
rd(mult(rd(X1,X2),ld(X3,X4)),X2) = rd(X1,ld(rd(X4,X2),mult(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_100]) ).
cnf(c_0_243,plain,
mult(rd(mult(X1,X2),ld(X1,X3)),X4) = mult(X1,ld(rd(X3,X2),mult(X1,X4))),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_244,plain,
ld(mult(X1,ld(rd(X2,ld(X1,X1)),X1)),X3) = ld(X1,mult(X2,ld(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_240]),c_0_232]) ).
cnf(c_0_245,negated_conjecture,
mult(rd(a,op_c),ld(rd(mult(op_c,op_c),ld(op_c,b)),mult(rd(a,op_c),ld(op_c,c)))) != mult(rd(a,op_c),ld(op_c,mult(rd(b,op_c),ld(op_c,mult(rd(a,op_c),ld(op_c,c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_242]),c_0_243]) ).
cnf(c_0_246,plain,
ld(rd(mult(X1,X2),ld(X1,X3)),X4) = ld(X1,mult(rd(X3,X2),ld(X1,X4))),
inference(spm,[status(thm)],[c_0_244,c_0_239]) ).
cnf(c_0_247,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP706-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n002.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 : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:06:20 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 217.75/217.73 % Version : CSE_E---1.5
% 217.75/217.73 % Problem : theBenchmark.p
% 217.75/217.73 % Proof found
% 217.75/217.73 % SZS status Theorem for theBenchmark.p
% 217.75/217.73 % SZS output start Proof
% See solution above
% 217.86/217.75 % Total time : 217.172000 s
% 217.86/217.75 % SZS output end Proof
% 217.86/217.75 % Total time : 217.185000 s
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