TSTP Solution File: GRP655+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP655+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 00:22:47 EDT 2023
% Result : Theorem 217.27s 218.00s
% Output : CNFRefutation 217.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 11
% Syntax : Number of formulae : 191 ( 180 unt; 5 typ; 0 def)
% Number of atoms : 192 ( 191 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 4 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 430 ( 0 sgn; 25 !; 2 ?; 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,
esk1_1: $i > $i ).
tff(decl_26,type,
esk2_1: $i > $i ).
fof(f05,axiom,
! [X3,X1,X2] : mult(X2,mult(X1,mult(X3,X1))) = mult(mult(mult(X2,X1),X3),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(goals,conjecture,
? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(c_0_6,plain,
! [X14,X15,X16] : mult(X16,mult(X15,mult(X14,X15))) = mult(mult(mult(X16,X15),X14),X15),
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_7,plain,
! [X10,X11] : mult(rd(X11,X10),X10) = X11,
inference(variable_rename,[status(thm)],[f03]) ).
fof(c_0_8,plain,
! [X8,X9] : ld(X9,mult(X9,X8)) = X8,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_9,plain,
mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X12,X13] : rd(mult(X13,X12),X12) = X13,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_12,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X6,X7] : mult(X7,ld(X7,X6)) = X6,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_15,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
ld(rd(X1,X2),mult(mult(X1,X3),X2)) = mult(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
rd(mult(X1,mult(X2,mult(X3,X2))),X2) = mult(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_19,plain,
ld(rd(X1,X2),mult(X3,X2)) = mult(X2,mult(ld(X1,X3),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
mult(mult(X1,X2),rd(X3,X2)) = rd(mult(X1,mult(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_21,plain,
mult(X1,mult(ld(X2,rd(X2,X1)),X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_22,plain,
rd(mult(rd(X1,X2),mult(X2,X3)),X2) = mult(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_10]) ).
cnf(c_0_23,plain,
mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_24,plain,
mult(X1,rd(ld(X2,X3),X2)) = rd(mult(rd(X1,X2),X3),X2),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_25,plain,
mult(mult(X1,X2),ld(X3,rd(X3,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_17]),c_0_15]) ).
cnf(c_0_26,plain,
ld(X1,rd(mult(rd(X1,X2),X3),X2)) = rd(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_12,c_0_24]) ).
cnf(c_0_27,plain,
rd(X1,ld(X2,rd(X2,X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_28,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_29,plain,
ld(mult(X1,X2),rd(mult(X1,X3),X2)) = rd(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_26,c_0_15]) ).
cnf(c_0_30,plain,
mult(ld(mult(X1,X2),X1),X2) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_23,c_0_15]) ).
cnf(c_0_31,plain,
rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
rd(ld(X1,ld(X2,X3)),X1) = ld(mult(X2,X1),rd(X3,X1)),
inference(spm,[status(thm)],[c_0_29,c_0_17]) ).
cnf(c_0_33,plain,
ld(ld(mult(X1,X2),X1),ld(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_30]) ).
cnf(c_0_34,plain,
mult(X1,ld(mult(X2,X3),X2)) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_35,plain,
mult(X1,mult(ld(X1,X1),X1)) = mult(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(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31]),c_0_12]),c_0_34]),c_0_31]),c_0_12]),c_0_19]) ).
cnf(c_0_36,plain,
mult(ld(X1,X1),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_35]),c_0_12]) ).
cnf(c_0_37,plain,
ld(X1,X1) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_38,plain,
mult(X1,ld(X2,rd(X2,X3))) = rd(X1,X3),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_39,plain,
mult(X1,mult(ld(X1,X2),mult(X3,ld(X1,X2)))) = mult(mult(X2,X3),ld(X1,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_40,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_37]) ).
cnf(c_0_41,plain,
mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_42,plain,
rd(X1,rd(X2,X2)) = mult(X1,rd(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_37]),c_0_37]) ).
cnf(c_0_43,plain,
ld(X1,rd(X1,X2)) = ld(X3,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_12,c_0_38]) ).
cnf(c_0_44,plain,
mult(mult(X1,X2),ld(X2,X1)) = mult(X2,mult(ld(X2,X1),X1)),
inference(spm,[status(thm)],[c_0_39,c_0_17]) ).
cnf(c_0_45,plain,
mult(rd(X1,X2),mult(X2,X2)) = rd(mult(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_40]),c_0_10]),c_0_41]),c_0_42]),c_0_20]) ).
cnf(c_0_46,plain,
rd(rd(X1,X1),X1) = ld(X2,rd(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_37]) ).
cnf(c_0_47,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_20]),c_0_10]) ).
cnf(c_0_48,plain,
mult(ld(X1,rd(X1,X2)),mult(X2,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_45]),c_0_47]),c_0_15]) ).
cnf(c_0_49,plain,
rd(X1,mult(X1,X1)) = ld(X2,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_48]) ).
cnf(c_0_50,plain,
mult(X1,rd(X2,mult(X2,X2))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_49]) ).
cnf(c_0_51,plain,
mult(ld(ld(mult(X1,X2),X1),X3),X2) = mult(X2,mult(X3,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_29,c_0_34]),c_0_31]),c_0_12]),c_0_19]),c_0_12]),c_0_31]),c_0_12]) ).
cnf(c_0_52,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_53,plain,
rd(rd(mult(X1,mult(X2,X3)),X2),rd(X3,X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_54,plain,
mult(rd(X1,mult(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_50]),c_0_50]),c_0_52]) ).
cnf(c_0_55,plain,
rd(rd(X1,X2),rd(X3,X2)) = mult(rd(X1,mult(X2,X3)),X2),
inference(spm,[status(thm)],[c_0_53,c_0_10]) ).
cnf(c_0_56,plain,
ld(X1,rd(X1,X2)) = rd(ld(X2,X2),X2),
inference(spm,[status(thm)],[c_0_26,c_0_10]) ).
cnf(c_0_57,plain,
mult(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(rd(X2,X1),X3),
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_58,plain,
mult(rd(ld(X1,X2),mult(X1,X2)),X1) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_54]),c_0_55]) ).
cnf(c_0_59,plain,
ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X2)))) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_60,plain,
rd(X1,rd(ld(X2,X2),X2)) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_52]) ).
cnf(c_0_61,plain,
rd(rd(X1,X1),X1) = rd(X1,mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_49]),c_0_37]) ).
cnf(c_0_62,plain,
ld(X1,ld(rd(X2,X1),X3)) = mult(ld(X2,rd(X3,X1)),X1),
inference(spm,[status(thm)],[c_0_12,c_0_57]) ).
cnf(c_0_63,plain,
mult(rd(X1,mult(X2,mult(X2,X1))),X2) = rd(X2,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_58,c_0_12]) ).
cnf(c_0_64,plain,
mult(X1,mult(ld(mult(X2,mult(X1,X1)),X2),X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_40]),c_0_41]),c_0_10]),c_0_45]),c_0_19]) ).
cnf(c_0_65,plain,
mult(ld(rd(X1,mult(X1,X1)),X2),X1) = mult(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_26,c_0_60]),c_0_60]),c_0_9]),c_0_12]),c_0_60]),c_0_37]),c_0_61]) ).
cnf(c_0_66,plain,
mult(ld(mult(X1,X2),rd(X3,X2)),X2) = ld(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_62,c_0_15]) ).
cnf(c_0_67,plain,
mult(ld(mult(X1,mult(X2,X2)),X1),X2) = rd(X2,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_40]),c_0_15]) ).
cnf(c_0_68,plain,
ld(rd(X1,mult(X1,X1)),X2) = rd(mult(X1,mult(X2,X1)),X1),
inference(spm,[status(thm)],[c_0_15,c_0_65]) ).
cnf(c_0_69,plain,
ld(X1,ld(ld(mult(X2,mult(X1,X1)),X2),X3)) = mult(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_10]),c_0_10]) ).
cnf(c_0_70,plain,
ld(ld(mult(X1,mult(X2,X2)),X1),X3) = mult(X2,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_69]) ).
cnf(c_0_71,plain,
mult(X1,mult(X1,mult(ld(mult(X2,mult(X1,X1)),X2),X3))) = X3,
inference(spm,[status(thm)],[c_0_12,c_0_70]) ).
cnf(c_0_72,plain,
ld(ld(X1,rd(X1,X2)),X2) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_12,c_0_48]) ).
cnf(c_0_73,plain,
rd(ld(X1,mult(X2,X1)),X1) = mult(rd(X1,mult(X1,X1)),X2),
inference(spm,[status(thm)],[c_0_54,c_0_15]) ).
cnf(c_0_74,plain,
mult(X1,mult(ld(mult(X2,mult(X1,X1)),X2),X3)) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_12,c_0_71]) ).
cnf(c_0_75,plain,
rd(mult(mult(X1,X2),mult(X2,X2)),X2) = mult(X1,mult(X2,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_15]) ).
cnf(c_0_76,plain,
mult(X1,rd(rd(X2,X2),X2)) = rd(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_37]),c_0_10]) ).
cnf(c_0_77,plain,
rd(X1,rd(rd(X2,X2),X2)) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_37]) ).
cnf(c_0_78,plain,
ld(ld(mult(X1,X2),X1),X2) = mult(X2,X2),
inference(spm,[status(thm)],[c_0_72,c_0_15]) ).
cnf(c_0_79,plain,
mult(mult(rd(X1,mult(X1,X1)),X2),X1) = ld(X1,mult(X2,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_73]) ).
cnf(c_0_80,plain,
mult(X1,mult(ld(X2,rd(X2,mult(X1,X1))),X3)) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_74,c_0_10]) ).
cnf(c_0_81,plain,
mult(mult(rd(X1,mult(X2,mult(X3,X2))),X2),X3) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_10]) ).
cnf(c_0_82,plain,
mult(rd(ld(X1,X2),mult(X1,X2)),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_58]),c_0_10]) ).
cnf(c_0_83,plain,
mult(rd(X1,X2),rd(X2,X2)) = rd(mult(X1,rd(X2,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_45,c_0_76]),c_0_77]),c_0_20]),c_0_76]),c_0_77]),c_0_41]),c_0_76]) ).
cnf(c_0_84,plain,
ld(X1,ld(X2,rd(X2,X1))) = rd(ld(X2,rd(X2,X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_38]),c_0_52]),c_0_38]) ).
cnf(c_0_85,plain,
ld(ld(mult(X1,X2),X1),rd(X2,X2)) = X2,
inference(rw,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_86,plain,
mult(mult(ld(X1,rd(X1,X2)),X3),X2) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_49]) ).
cnf(c_0_87,plain,
mult(ld(X1,rd(X1,mult(X2,X2))),X3) = ld(X2,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_12,c_0_80]) ).
cnf(c_0_88,plain,
mult(X1,mult(ld(mult(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_89,plain,
mult(X1,rd(ld(X2,X3),mult(X2,X3))) = rd(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_20]),c_0_47]),c_0_10]) ).
cnf(c_0_90,plain,
rd(mult(X1,rd(X2,X2)),X2) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_55]),c_0_83]) ).
cnf(c_0_91,plain,
mult(X1,rd(ld(X2,rd(X2,X3)),X3)) = rd(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_48]),c_0_84]) ).
cnf(c_0_92,plain,
mult(X1,ld(mult(X2,X3),rd(X4,X3))) = rd(X1,mult(X3,mult(ld(X4,X2),X3))),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_93,plain,
ld(X1,rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_77]),c_0_76]),c_0_52]),c_0_10]) ).
cnf(c_0_94,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_47]),c_0_37]),c_0_12]) ).
cnf(c_0_95,plain,
mult(ld(X1,ld(X1,X2)),mult(X1,X1)) = ld(mult(X1,X1),mult(X2,mult(X1,X1))),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,plain,
ld(X1,ld(X2,mult(X3,X1))) = mult(ld(mult(X2,X1),X3),X1),
inference(spm,[status(thm)],[c_0_12,c_0_88]) ).
cnf(c_0_97,plain,
rd(X1,mult(rd(X2,X3),rd(X2,X3))) = mult(X1,rd(X3,mult(rd(X2,X3),X2))),
inference(spm,[status(thm)],[c_0_89,c_0_52]) ).
cnf(c_0_98,plain,
mult(rd(X1,X2),rd(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
inference(rw,[status(thm)],[c_0_83,c_0_90]) ).
cnf(c_0_99,plain,
mult(rd(X1,mult(X2,X2)),X2) = rd(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_91]),c_0_38]),c_0_90]) ).
cnf(c_0_100,plain,
rd(mult(rd(X1,X2),ld(X3,X4)),X2) = rd(X1,mult(X2,mult(ld(X4,X3),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_92]) ).
cnf(c_0_101,plain,
ld(rd(X1,X1),rd(X1,mult(X1,X1))) = rd(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_49,c_0_61]) ).
cnf(c_0_102,plain,
rd(ld(X1,rd(X2,X2)),X1) = ld(mult(X2,X1),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_32,c_0_37]) ).
cnf(c_0_103,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(rd(X1,X1),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,plain,
mult(X1,mult(mult(ld(X2,rd(X3,mult(X4,X1))),mult(X4,X1)),X1)) = ld(X4,mult(ld(rd(X2,mult(X4,X1)),X3),X1)),
inference(spm,[status(thm)],[c_0_88,c_0_62]) ).
cnf(c_0_105,plain,
mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
inference(spm,[status(thm)],[c_0_10,c_0_75]) ).
cnf(c_0_106,plain,
mult(mult(ld(mult(X1,X1),X2),X1),mult(X1,X1)) = ld(mult(X1,X1),mult(mult(X2,X1),mult(X1,X1))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_107,plain,
ld(rd(X1,X2),ld(rd(X1,X2),X3)) = mult(rd(X2,mult(rd(X1,X2),X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_97]),c_0_12]) ).
cnf(c_0_108,plain,
mult(rd(X1,X2),rd(X2,X2)) = rd(mult(X1,X2),mult(X2,X2)),
inference(rw,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,plain,
rd(rd(rd(X1,X2),X3),X2) = rd(X1,mult(X2,mult(X3,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_50]),c_0_68]),c_0_10]),c_0_15]) ).
cnf(c_0_110,plain,
rd(rd(X1,mult(X1,X1)),X1) = rd(rd(X1,X1),mult(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_49]),c_0_103]) ).
cnf(c_0_111,plain,
mult(ld(mult(X1,X2),X1),mult(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_48,c_0_15]) ).
cnf(c_0_112,plain,
ld(X1,mult(ld(rd(X1,X1),X2),X1)) = mult(X1,ld(mult(X1,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_104,c_0_94]),c_0_105]),c_0_106]),c_0_99]),c_0_10]) ).
cnf(c_0_113,plain,
mult(ld(X1,rd(ld(rd(X1,X2),X3),X2)),X2) = ld(X2,mult(rd(X2,mult(rd(X1,X2),X1)),X3)),
inference(spm,[status(thm)],[c_0_62,c_0_107]) ).
cnf(c_0_114,plain,
rd(X1,rd(X2,mult(X2,X2))) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_49]),c_0_52]) ).
cnf(c_0_115,plain,
mult(ld(mult(X1,X2),X1),rd(X3,X2)) = rd(ld(X2,X3),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_51]),c_0_34]),c_0_34]),c_0_52]) ).
cnf(c_0_116,plain,
ld(X1,ld(rd(ld(X1,X2),mult(X1,X2)),X3)) = mult(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_58]),c_0_68]),c_0_10]),c_0_10]) ).
cnf(c_0_117,plain,
mult(ld(rd(X1,X1),rd(X2,X1)),X1) = ld(X1,rd(mult(X1,mult(X2,X1)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_61]),c_0_68]) ).
cnf(c_0_118,plain,
rd(rd(mult(X1,mult(X2,X2)),X2),X2) = mult(X1,rd(X2,X2)),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_119,plain,
ld(rd(X1,X1),mult(X2,rd(X1,X1))) = mult(mult(rd(X1,X1),X2),rd(X1,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_108]),c_0_94]),c_0_42]),c_0_83]),c_0_40]) ).
cnf(c_0_120,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_109,c_0_61]),c_0_110]) ).
cnf(c_0_121,plain,
mult(ld(ld(X1,X2),X3),ld(X2,X1)) = mult(ld(X2,X1),mult(X3,ld(X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_31]),c_0_31]),c_0_9]),c_0_12]),c_0_31]) ).
cnf(c_0_122,plain,
mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_123,plain,
rd(X1,mult(X1,X1)) = ld(mult(X2,X1),X2),
inference(spm,[status(thm)],[c_0_15,c_0_111]) ).
cnf(c_0_124,plain,
ld(X1,ld(X1,mult(mult(X1,X1),X2))) = mult(X1,mult(rd(X1,mult(X1,X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_83]),c_0_83]),c_0_40]),c_0_61]),c_0_114]),c_0_61]),c_0_68]),c_0_10]),c_0_29]),c_0_73]) ).
cnf(c_0_125,plain,
mult(rd(ld(mult(X1,X2),X1),X2),mult(X2,X3)) = ld(X2,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_115]),c_0_10]) ).
cnf(c_0_126,plain,
ld(X1,ld(mult(X2,X1),X2)) = rd(ld(mult(X2,X1),X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_34]),c_0_52]),c_0_34]) ).
cnf(c_0_127,plain,
ld(rd(ld(X1,X2),mult(X1,X2)),X3) = mult(X1,mult(X1,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_116]) ).
cnf(c_0_128,plain,
ld(ld(X1,X2),ld(X2,X1)) = mult(ld(X2,X1),ld(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_31]),c_0_12]) ).
cnf(c_0_129,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_47]) ).
cnf(c_0_130,plain,
ld(X1,rd(mult(X1,mult(X2,mult(X1,X1))),X1)) = rd(mult(mult(rd(X1,X1),X2),mult(X1,X1)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_10]),c_0_119]),c_0_41]),c_0_45]) ).
cnf(c_0_131,plain,
rd(mult(rd(X1,mult(X1,mult(X1,X1))),X2),X1) = ld(mult(X1,X1),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_54]),c_0_32]),c_0_110]),c_0_120]) ).
cnf(c_0_132,plain,
mult(ld(X1,X2),mult(X3,ld(X1,X2))) = ld(X1,mult(mult(X2,X3),ld(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_17]),c_0_31]),c_0_31]),c_0_121]) ).
cnf(c_0_133,plain,
mult(ld(rd(X1,X1),X2),rd(X1,X1)) = ld(X1,mult(mult(X1,X2),rd(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_40]),c_0_42]),c_0_42]) ).
cnf(c_0_134,plain,
mult(rd(rd(X1,rd(X2,X3)),X3),mult(X3,X2)) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_41,c_0_10]) ).
cnf(c_0_135,plain,
mult(X1,mult(mult(rd(X2,mult(X1,X2)),X1),X1)) = ld(rd(rd(X2,X1),X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_37]),c_0_55]) ).
cnf(c_0_136,plain,
mult(mult(X1,rd(X2,X2)),rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_37]),c_0_37]) ).
cnf(c_0_137,plain,
ld(mult(X1,ld(X2,X3)),X1) = ld(X3,X2),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_138,plain,
mult(mult(ld(mult(X1,X2),X1),X3),X2) = ld(X2,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_79,c_0_123]) ).
cnf(c_0_139,plain,
mult(X1,mult(X1,mult(rd(X1,mult(X1,X1)),X2))) = ld(X1,mult(mult(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_17,c_0_124]) ).
cnf(c_0_140,plain,
mult(rd(ld(mult(X1,X2),X1),X2),X3) = ld(X2,ld(X2,X3)),
inference(spm,[status(thm)],[c_0_125,c_0_17]) ).
cnf(c_0_141,plain,
rd(X1,rd(ld(mult(X2,X3),X2),X3)) = mult(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_126]),c_0_78]) ).
cnf(c_0_142,plain,
ld(rd(ld(rd(X1,X2),X2),X1),X3) = mult(rd(X1,X2),mult(rd(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_127,c_0_10]) ).
cnf(c_0_143,plain,
ld(rd(ld(mult(X1,X2),X1),X2),X3) = mult(X2,mult(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_51]),c_0_10]) ).
cnf(c_0_144,plain,
mult(mult(X1,X1),mult(X1,X1)) = mult(X1,mult(X1,mult(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(spm,[status(thm)],[c_0_128,c_0_126]),c_0_78]),c_0_19]),c_0_78]),c_0_129]),c_0_78]),c_0_78]) ).
cnf(c_0_145,plain,
ld(mult(X1,X1),rd(mult(mult(X1,X1),X2),X1)) = ld(X1,rd(mult(X1,X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_10]),c_0_41]),c_0_120]),c_0_131]) ).
cnf(c_0_146,plain,
mult(ld(mult(X1,X2),X1),X2) = rd(X2,X2),
inference(rw,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_147,plain,
ld(mult(X1,ld(X2,X3)),mult(X4,ld(X3,X2))) = ld(X3,mult(mult(X2,ld(X1,X4)),ld(X3,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_31]),c_0_132]) ).
cnf(c_0_148,plain,
ld(X1,mult(mult(X1,X2),rd(X1,X1))) = mult(rd(X1,X1),mult(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(spm,[status(thm)],[c_0_26,c_0_42]),c_0_42]),c_0_9]),c_0_12]),c_0_42]),c_0_133]) ).
cnf(c_0_149,plain,
rd(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_15,c_0_134]) ).
cnf(c_0_150,plain,
mult(rd(X1,X1),rd(X2,mult(rd(X1,X1),X2))) = rd(X2,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_42]),c_0_42]),c_0_136]),c_0_37]) ).
fof(c_0_151,negated_conjecture,
~ ? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_152,plain,
ld(mult(X1,X2),X1) = ld(X3,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_137,c_0_52]) ).
cnf(c_0_153,plain,
mult(X1,mult(ld(X1,ld(X1,X2)),X1)) = mult(ld(mult(X1,X1),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(spm,[status(thm)],[c_0_138,c_0_139]),c_0_34]),c_0_140]),c_0_51]),c_0_34]),c_0_141]),c_0_111]),c_0_138]),c_0_96]) ).
cnf(c_0_154,plain,
ld(X1,ld(X1,ld(X1,ld(X1,X2)))) = ld(mult(X1,mult(X1,mult(X1,X1))),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_31]),c_0_12]),c_0_105]),c_0_144]),c_0_140]),c_0_140]) ).
cnf(c_0_155,plain,
mult(X1,mult(ld(mult(X2,mult(X1,mult(X3,X1))),X4),X1)) = ld(mult(mult(X2,X1),X3),mult(X4,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_156,plain,
ld(rd(X1,X1),mult(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_145]),c_0_57]),c_0_15]) ).
cnf(c_0_157,plain,
rd(rd(mult(X1,mult(X2,X1)),mult(X1,mult(X2,X1))),X1) = mult(mult(ld(mult(X3,mult(X1,mult(X2,X1))),X3),X1),X2),
inference(spm,[status(thm)],[c_0_18,c_0_146]) ).
cnf(c_0_158,plain,
mult(rd(X1,X1),mult(rd(X2,X2),rd(X1,X1))) = rd(mult(X2,rd(X1,X1)),mult(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(spm,[status(thm)],[c_0_37,c_0_147]),c_0_37]),c_0_37]),c_0_148]),c_0_37]),c_0_37]) ).
cnf(c_0_159,plain,
mult(rd(X1,mult(X2,rd(X3,X3))),rd(X3,X3)) = rd(mult(X1,rd(X3,X3)),mult(rd(X3,X3),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_149]),c_0_42]) ).
cnf(c_0_160,plain,
ld(mult(X1,rd(X2,X2)),X1) = rd(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_37]),c_0_37]) ).
cnf(c_0_161,plain,
ld(rd(X1,X1),rd(X2,X2)) = rd(X2,mult(rd(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_12,c_0_150]) ).
fof(c_0_162,negated_conjecture,
! [X17] :
( mult(esk1_1(X17),X17) != esk1_1(X17)
| mult(X17,esk2_1(X17)) != esk2_1(X17) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])])])]) ).
cnf(c_0_163,plain,
ld(X1,rd(X1,mult(ld(mult(X2,X3),X4),X3))) = ld(ld(X2,mult(X4,X3)),X3),
inference(spm,[status(thm)],[c_0_152,c_0_88]) ).
cnf(c_0_164,plain,
mult(ld(mult(X1,X1),ld(X1,X2)),X1) = ld(mult(X1,mult(X1,X1)),mult(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_129]),c_0_17]) ).
cnf(c_0_165,plain,
ld(rd(X1,X1),rd(X1,X2)) = ld(X1,rd(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_50]),c_0_50]) ).
cnf(c_0_166,plain,
ld(X1,ld(X1,rd(mult(X1,X1),X2))) = mult(X1,rd(rd(X1,mult(X1,X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_50]),c_0_50]) ).
cnf(c_0_167,plain,
mult(rd(X1,X2),mult(rd(X1,mult(X2,X1)),X2)) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
cnf(c_0_168,plain,
mult(rd(X1,mult(rd(X2,X2),X1)),rd(X1,X1)) = rd(X1,mult(rd(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(spm,[status(thm)],[c_0_157,c_0_158]),c_0_42]),c_0_108]),c_0_94]),c_0_42]),c_0_159]),c_0_136]),c_0_160]),c_0_159]),c_0_136]) ).
cnf(c_0_169,plain,
rd(X1,rd(X2,mult(rd(X3,X3),X2))) = mult(X1,rd(X3,mult(rd(X2,X2),X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_150]),c_0_161]) ).
cnf(c_0_170,negated_conjecture,
( mult(esk1_1(X1),X1) != esk1_1(X1)
| mult(X1,esk2_1(X1)) != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_171,plain,
mult(X1,rd(ld(mult(X2,X3),X2),X3)) = rd(X1,mult(X3,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_78]),c_0_126]) ).
cnf(c_0_172,plain,
mult(ld(X1,rd(rd(X1,X2),X2)),X2) = ld(X2,mult(rd(X1,mult(X2,X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_37]),c_0_55]) ).
cnf(c_0_173,plain,
ld(ld(X1,mult(ld(X1,X2),X1)),X1) = ld(mult(X2,X1),mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_31]),c_0_12]) ).
cnf(c_0_174,plain,
mult(ld(X1,rd(rd(X1,X2),X1)),X1) = mult(X1,rd(rd(X1,mult(X1,X1)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_165]),c_0_166]) ).
cnf(c_0_175,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(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]),c_0_150]),c_0_169]),c_0_150]),c_0_150]),c_0_169]),c_0_150]) ).
cnf(c_0_176,negated_conjecture,
( ld(X1,ld(X1,esk2_1(rd(ld(mult(X2,X1),X2),X1)))) != esk2_1(rd(ld(mult(X2,X1),X2),X1))
| rd(esk1_1(rd(ld(mult(X2,X1),X2),X1)),mult(X1,X1)) != esk1_1(rd(ld(mult(X2,X1),X2),X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_140]),c_0_171]) ).
cnf(c_0_177,plain,
mult(rd(mult(X1,X2),mult(X2,mult(X1,X2))),X2) = rd(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_172]),c_0_17]),c_0_15]),c_0_10]),c_0_37]) ).
cnf(c_0_178,plain,
ld(rd(rd(X1,mult(X1,X1)),X2),X1) = ld(rd(X1,X2),mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_12]),c_0_10]) ).
cnf(c_0_179,plain,
rd(X1,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(spm,[status(thm)],[c_0_123,c_0_175]),c_0_83]),c_0_40]),c_0_42]),c_0_83]),c_0_40]),c_0_37]),c_0_42]),c_0_83]),c_0_40]) ).
cnf(c_0_180,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_181,negated_conjecture,
( ld(X1,ld(X1,esk2_1(rd(ld(rd(X2,X2),rd(mult(X2,X1),mult(X1,mult(X2,X1)))),X1)))) != esk2_1(rd(ld(rd(X2,X2),rd(mult(X2,X1),mult(X1,mult(X2,X1)))),X1))
| rd(esk1_1(rd(ld(rd(X2,X2),rd(mult(X2,X1),mult(X1,mult(X2,X1)))),X1)),mult(X1,X1)) != esk1_1(rd(ld(rd(X2,X2),rd(mult(X2,X1),mult(X1,mult(X2,X1)))),X1)) ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,plain,
ld(rd(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_114]),c_0_180]) ).
cnf(c_0_183,plain,
rd(X1,mult(rd(X2,X2),mult(X3,rd(X2,X2)))) = mult(X1,ld(mult(mult(X2,X3),rd(X2,X2)),X2)),
inference(spm,[status(thm)],[c_0_31,c_0_148]) ).
cnf(c_0_184,negated_conjecture,
mult(esk1_1(rd(X1,X1)),rd(X2,X2)) != esk1_1(rd(X1,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_181,c_0_182]),c_0_42]),c_0_183]),c_0_182]),c_0_9]),c_0_88]),c_0_40]),c_0_34]),c_0_182]),c_0_42]),c_0_183]),c_0_182]),c_0_9]),c_0_88]),c_0_40]),c_0_34]),c_0_42]),c_0_183]),c_0_182]),c_0_9]),c_0_88]),c_0_40]),c_0_34]),c_0_83]),c_0_40]),c_0_42]),c_0_42]),c_0_183]),c_0_182]),c_0_9]),c_0_88]),c_0_40]),c_0_34])]) ).
cnf(c_0_185,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_184,c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP655+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n031.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 28 20:17:25 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.15/0.53 start to proof: theBenchmark
% 217.27/218.00 % Version : CSE_E---1.5
% 217.27/218.00 % Problem : theBenchmark.p
% 217.27/218.00 % Proof found
% 217.27/218.00 % SZS status Theorem for theBenchmark.p
% 217.27/218.00 % SZS output start Proof
% See solution above
% 217.47/218.01 % Total time : 216.867000 s
% 217.47/218.01 % SZS output end Proof
% 217.47/218.01 % Total time : 216.876000 s
%------------------------------------------------------------------------------