TSTP Solution File: GRP654+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP654+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 : 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 00:22:45 EDT 2023
% Result : Theorem 209.72s 209.78s
% Output : CNFRefutation 209.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 171 ( 157 unt; 5 typ; 0 def)
% Number of atoms : 175 ( 174 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 7 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 13 ( 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 : 372 ( 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(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f05,axiom,
! [X3,X1,X2] : mult(X2,mult(X1,mult(X2,X3))) = mult(mult(mult(X2,X1),X2),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
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(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,
! [X12,X13] : rd(mult(X13,X12),X12) = X13,
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_7,plain,
! [X14,X15,X16] : mult(X16,mult(X15,mult(X16,X14))) = mult(mult(mult(X16,X15),X16),X14),
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_8,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(mult(mult(X1,X2),X1),X3),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X6,X7] : mult(X7,ld(X7,X6)) = X6,
inference(variable_rename,[status(thm)],[f01]) ).
cnf(c_0_11,plain,
rd(mult(X1,mult(X2,mult(X1,X3))),X3) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X10,X11] : mult(rd(X11,X10),X10) = X11,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_14,plain,
rd(mult(X1,mult(X2,X3)),ld(X1,X3)) = mult(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_17,plain,
rd(mult(X1,X2),ld(X1,X3)) = mult(mult(X1,rd(X2,X3)),X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_18,plain,
! [X8,X9] : ld(X9,mult(X9,X8)) = X8,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_19,plain,
mult(mult(X1,rd(X2,mult(X1,X2))),X1) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,plain,
mult(X1,rd(X2,mult(X1,X2))) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_8,c_0_19]) ).
cnf(c_0_22,plain,
mult(X1,mult(ld(X1,X2),mult(X1,X3))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_23,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_24,plain,
ld(X1,rd(X1,X1)) = rd(X2,mult(X1,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
mult(ld(X1,X2),mult(X1,X3)) = ld(X1,mult(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_20,c_0_22]) ).
cnf(c_0_26,plain,
ld(ld(X1,rd(X1,X1)),X2) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
rd(rd(X1,X2),rd(X1,X2)) = mult(rd(X1,X2),rd(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_28,plain,
ld(X1,mult(mult(X2,X1),ld(X1,X3))) = mult(ld(X1,X2),X3),
inference(spm,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_29,plain,
ld(rd(X1,X2),X3) = mult(rd(X2,X1),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20]) ).
cnf(c_0_30,plain,
mult(mult(X1,X2),ld(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_12,c_0_28]) ).
cnf(c_0_31,plain,
mult(X1,rd(ld(X1,X2),X2)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_32,plain,
mult(rd(ld(X1,X2),X2),X3) = ld(X1,X3),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_33,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_30,c_0_31]),c_0_29]),c_0_16]),c_0_29]),c_0_16]),c_0_32]) ).
cnf(c_0_34,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_33,c_0_30]),c_0_20]),c_0_12]) ).
cnf(c_0_35,plain,
ld(X1,X1) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_34]),c_0_8]) ).
cnf(c_0_36,plain,
mult(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_35]) ).
cnf(c_0_37,plain,
mult(X1,mult(ld(X1,rd(X2,X1)),X3)) = mult(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_38,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_30,c_0_36]),c_0_29]),c_0_29]),c_0_15]) ).
cnf(c_0_39,plain,
mult(rd(rd(X1,X1),X1),X2) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_40,plain,
rd(X1,rd(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_41,plain,
ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,rd(X2,X1)),X3),
inference(spm,[status(thm)],[c_0_20,c_0_37]) ).
cnf(c_0_42,plain,
rd(rd(X1,X1),rd(ld(X1,X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_31]) ).
cnf(c_0_43,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_38,c_0_39]),c_0_27]),c_0_40]),c_0_15]),c_0_27]),c_0_40]),c_0_15]),c_0_39]) ).
cnf(c_0_44,plain,
mult(ld(X1,rd(X2,X1)),X1) = ld(X1,mult(X2,rd(X1,X1))),
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_45,plain,
rd(rd(X1,X1),rd(rd(X1,X1),X1)) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_46,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_43,c_0_35]),c_0_15]),c_0_35]) ).
cnf(c_0_47,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_44,c_0_45]),c_0_29]),c_0_40]),c_0_27]),c_0_40]),c_0_15]),c_0_46]),c_0_29]),c_0_40]),c_0_36]) ).
cnf(c_0_48,plain,
rd(rd(X1,X1),X1) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_20,c_0_47]) ).
cnf(c_0_49,plain,
mult(X1,mult(ld(X1,X2),X1)) = mult(mult(X2,X1),rd(X1,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_50,plain,
mult(ld(mult(X1,X1),X1),X2) = ld(X1,X2),
inference(rw,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_51,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_44,c_0_42]),c_0_29]),c_0_16]),c_0_27]),c_0_16]),c_0_32]),c_0_35]),c_0_46]),c_0_29]),c_0_16]),c_0_36]) ).
cnf(c_0_52,plain,
mult(mult(X1,X1),rd(X1,X1)) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_35]),c_0_15]) ).
cnf(c_0_53,plain,
mult(mult(X1,rd(X2,mult(X1,X3))),X1) = rd(mult(X1,X2),X3),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_54,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_11,c_0_50]),c_0_50]),c_0_41]),c_0_8]),c_0_50]) ).
cnf(c_0_55,plain,
rd(X1,rd(ld(X1,X2),X2)) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_8,c_0_51]) ).
cnf(c_0_56,plain,
rd(mult(X1,X1),mult(X1,X1)) = rd(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_52]),c_0_35]) ).
cnf(c_0_57,plain,
rd(rd(mult(X1,X2),X3),X1) = mult(X1,rd(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_8,c_0_53]) ).
cnf(c_0_58,plain,
ld(X1,rd(mult(X1,X2),X1)) = mult(X2,ld(mult(X1,X1),X1)),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_59,plain,
rd(X1,rd(X2,mult(X1,X2))) = mult(X1,X1),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
cnf(c_0_60,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_11,c_0_15]) ).
cnf(c_0_61,plain,
rd(mult(X1,mult(X1,X1)),X1) = mult(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_36]) ).
cnf(c_0_62,plain,
mult(X1,rd(ld(X1,X2),mult(X1,X3))) = rd(rd(X2,X3),X1),
inference(spm,[status(thm)],[c_0_57,c_0_12]) ).
cnf(c_0_63,plain,
mult(X1,mult(X2,ld(mult(X1,X1),X1))) = rd(mult(X1,X2),X1),
inference(spm,[status(thm)],[c_0_12,c_0_58]) ).
cnf(c_0_64,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_59,c_0_32]),c_0_16]),c_0_32]) ).
fof(c_0_65,negated_conjecture,
~ ? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_66,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_60,c_0_32]),c_0_32]) ).
cnf(c_0_67,plain,
rd(ld(X1,X2),X2) = rd(ld(X1,X3),X3),
inference(spm,[status(thm)],[c_0_8,c_0_32]) ).
cnf(c_0_68,plain,
mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_61]) ).
cnf(c_0_69,plain,
ld(X1,rd(rd(X2,X3),X1)) = rd(ld(X1,X2),mult(X1,X3)),
inference(spm,[status(thm)],[c_0_20,c_0_62]) ).
cnf(c_0_70,plain,
mult(rd(X1,X2),mult(rd(X2,X1),X3)) = X3,
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_71,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_32,c_0_63]),c_0_32]),c_0_32]),c_0_64]),c_0_29]),c_0_55]),c_0_51]) ).
fof(c_0_72,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_65])])])]) ).
cnf(c_0_73,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_66,c_0_41]),c_0_8]) ).
cnf(c_0_74,plain,
mult(rd(X1,mult(X2,X1)),X3) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_29,c_0_8]) ).
cnf(c_0_75,plain,
ld(X1,rd(X1,X1)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
cnf(c_0_76,plain,
rd(rd(X1,X1),X1) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_77,plain,
ld(mult(X1,X1),mult(X1,mult(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_68]) ).
cnf(c_0_78,plain,
rd(ld(X1,X2),mult(X1,rd(X2,X2))) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_69,c_0_40]) ).
cnf(c_0_79,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_57,c_0_70]) ).
cnf(c_0_80,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_71,c_0_29]),c_0_29]),c_0_8]),c_0_29]) ).
cnf(c_0_81,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_72]) ).
cnf(c_0_82,plain,
rd(ld(X1,mult(X2,X3)),mult(X1,X3)) = ld(X1,rd(X2,X1)),
inference(spm,[status(thm)],[c_0_69,c_0_8]) ).
cnf(c_0_83,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_37,c_0_73]),c_0_69]),c_0_62]),c_0_64]) ).
cnf(c_0_84,plain,
mult(rd(rd(ld(X1,X2),X2),X1),X3) = ld(mult(X1,X1),X3),
inference(spm,[status(thm)],[c_0_74,c_0_51]) ).
cnf(c_0_85,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_29,c_0_17]) ).
cnf(c_0_86,plain,
ld(X1,rd(X1,X1)) = rd(rd(X1,X1),X1),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
cnf(c_0_87,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_76,c_0_77]),c_0_56]) ).
cnf(c_0_88,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_60,c_0_74]),c_0_74]) ).
cnf(c_0_89,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_17,c_0_15]),c_0_60]),c_0_29]) ).
cnf(c_0_90,plain,
rd(X1,mult(X2,X1)) = rd(X3,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_24,c_0_24]) ).
cnf(c_0_91,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_78,c_0_79]),c_0_20]),c_0_80]),c_0_20]) ).
cnf(c_0_92,negated_conjecture,
( mult(X1,mult(X2,mult(X1,esk2_1(mult(mult(X1,X2),X1))))) != esk2_1(mult(mult(X1,X2),X1))
| mult(esk1_1(mult(mult(X1,X2),X1)),mult(mult(X1,X2),X1)) != esk1_1(mult(mult(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_9]) ).
cnf(c_0_93,plain,
mult(X1,mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3)))) = X3,
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_94,plain,
mult(mult(X1,rd(ld(X1,X2),X3)),X1) = rd(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_95,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_82,c_0_32]),c_0_29]),c_0_16]),c_0_17]),c_0_8]),c_0_29]),c_0_16]) ).
cnf(c_0_96,plain,
ld(X1,mult(mult(X2,X1),rd(X1,X1))) = mult(ld(X1,X2),X1),
inference(spm,[status(thm)],[c_0_25,c_0_36]) ).
cnf(c_0_97,plain,
mult(mult(rd(rd(X1,X2),X2),X1),X3) = mult(X1,ld(mult(X2,X2),mult(X1,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_83]),c_0_84]) ).
cnf(c_0_98,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_41,c_0_39]),c_0_69]),c_0_85]),c_0_40]) ).
cnf(c_0_99,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(rd(X1,X1),mult(X1,X1)),
inference(spm,[status(thm)],[c_0_86,c_0_56]) ).
cnf(c_0_100,plain,
mult(mult(X1,mult(X2,mult(X1,mult(X1,X2)))),X3) = mult(mult(X1,X2),mult(X1,mult(mult(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_101,plain,
ld(mult(X1,X1),X1) = rd(ld(X1,X2),X2),
inference(rw,[status(thm)],[c_0_76,c_0_48]) ).
cnf(c_0_102,plain,
ld(X1,rd(X1,X1)) = ld(mult(X1,X1),X1),
inference(rw,[status(thm)],[c_0_86,c_0_48]) ).
cnf(c_0_103,plain,
ld(ld(mult(X1,X1),X1),X2) = mult(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_48]),c_0_40]) ).
cnf(c_0_104,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_69,c_0_48]),c_0_35]),c_0_87]) ).
cnf(c_0_105,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_82,c_0_74]),c_0_29]),c_0_8]),c_0_17]),c_0_8]),c_0_29]),c_0_8]) ).
cnf(c_0_106,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_59,c_0_74]),c_0_16]),c_0_74]) ).
cnf(c_0_107,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_88,c_0_35]),c_0_20]) ).
cnf(c_0_108,plain,
mult(mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)),X4) = mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,X4))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_109,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_89,c_0_90]),c_0_74]) ).
cnf(c_0_110,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_17,c_0_29]),c_0_60]) ).
cnf(c_0_111,plain,
mult(mult(X1,rd(X2,X2)),rd(rd(X1,X1),rd(X2,X2))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_91]) ).
cnf(c_0_112,negated_conjecture,
( mult(X1,mult(mult(X2,mult(X1,ld(mult(mult(X1,X2),X1),X3))),mult(X1,esk2_1(mult(X3,X1))))) != esk2_1(mult(X3,X1))
| mult(esk1_1(mult(X3,X1)),mult(X3,X1)) != esk1_1(mult(X3,X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_113,plain,
mult(X1,rd(rd(X1,X1),X1)) = rd(X1,X1),
inference(spm,[status(thm)],[c_0_31,c_0_35]) ).
cnf(c_0_114,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_94,c_0_95]),c_0_12]),c_0_64]) ).
cnf(c_0_115,plain,
mult(ld(X1,rd(rd(X1,X2),X2)),X1) = ld(mult(X2,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_36]),c_0_20]) ).
cnf(c_0_116,plain,
mult(X1,mult(X1,mult(rd(X1,X1),X2))) = mult(mult(X1,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_36]),c_0_38]) ).
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_98,c_0_98]) ).
cnf(c_0_118,plain,
ld(X1,ld(X2,rd(X1,X1))) = ld(mult(mult(X1,X2),X1),X1),
inference(spm,[status(thm)],[c_0_98,c_0_35]) ).
cnf(c_0_119,plain,
ld(mult(X1,X1),rd(X1,X1)) = rd(X1,mult(X1,mult(X1,X1))),
inference(rw,[status(thm)],[c_0_99,c_0_87]) ).
cnf(c_0_120,plain,
mult(mult(X1,mult(X1,X1)),X2) = mult(X1,mult(X1,mult(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_36]),c_0_38]),c_0_15]) ).
cnf(c_0_121,plain,
rd(ld(mult(X1,X1),X1),rd(X1,X1)) = ld(mult(X1,X1),X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_122,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_55,c_0_103]),c_0_8]),c_0_50]),c_0_104]) ).
cnf(c_0_123,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_94,c_0_105]),c_0_12]),c_0_106]) ).
cnf(c_0_124,plain,
mult(rd(X1,X1),rd(ld(X1,X2),X2)) = rd(ld(X1,X2),X2),
inference(spm,[status(thm)],[c_0_107,c_0_12]) ).
cnf(c_0_125,plain,
mult(X1,mult(X2,mult(X1,mult(X3,mult(X1,mult(X2,mult(X1,rd(mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)),mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)))))))))) = mult(mult(X1,mult(X2,mult(X1,X3))),mult(mult(X1,X2),X1)),
inference(spm,[status(thm)],[c_0_36,c_0_108]) ).
cnf(c_0_126,plain,
mult(rd(X1,X2),mult(mult(X3,rd(X2,X1)),mult(rd(X2,X1),rd(X1,X2)))) = mult(mult(rd(X1,X2),X3),rd(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_49]),c_0_27]),c_0_29]) ).
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_25,c_0_15]),c_0_29]),c_0_29]) ).
cnf(c_0_128,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_9,c_0_60]) ).
cnf(c_0_129,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_109,c_0_29]),c_0_110]) ).
cnf(c_0_130,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_57,c_0_15]) ).
cnf(c_0_131,plain,
rd(X1,mult(rd(X2,X3),X1)) = rd(X3,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_20]) ).
cnf(c_0_132,plain,
rd(rd(X1,X1),rd(X2,X2)) = ld(mult(X1,rd(X2,X2)),X1),
inference(spm,[status(thm)],[c_0_20,c_0_111]) ).
cnf(c_0_133,plain,
mult(mult(X1,rd(X2,X3)),mult(rd(X3,X2),X4)) = mult(rd(X2,X3),mult(mult(rd(X3,X2),X1),X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_29]),c_0_29]) ).
cnf(c_0_134,plain,
ld(ld(X1,X2),ld(X1,mult(mult(X2,X1),X3))) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_135,negated_conjecture,
( ld(X1,mult(mult(X2,ld(X1,ld(mult(ld(X1,X2),rd(rd(X1,X1),X1)),X1))),ld(X1,esk2_1(rd(X1,X1))))) != esk2_1(rd(X1,X1))
| mult(esk1_1(rd(X1,X1)),rd(X1,X1)) != esk1_1(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_112,c_0_113]),c_0_39]),c_0_39]),c_0_39]),c_0_39]) ).
cnf(c_0_136,plain,
mult(X1,rd(X2,rd(rd(X1,X3),X3))) = rd(mult(mult(mult(X1,X2),X3),X3),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_114]),c_0_83]) ).
cnf(c_0_137,plain,
ld(X1,rd(rd(X1,X2),X2)) = rd(ld(mult(X2,X2),X1),X1),
inference(spm,[status(thm)],[c_0_8,c_0_115]) ).
cnf(c_0_138,plain,
mult(mult(X1,X1),mult(X1,X2)) = mult(X1,mult(mult(X1,X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_38]),c_0_116]) ).
cnf(c_0_139,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_36]),c_0_29]),c_0_15]),c_0_36]) ).
cnf(c_0_140,plain,
rd(ld(X1,ld(X2,X3)),mult(X1,X3)) = rd(X3,mult(X1,mult(X2,mult(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_90]),c_0_74]),c_0_8]) ).
cnf(c_0_141,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_74,c_0_52]),c_0_87]) ).
cnf(c_0_142,plain,
ld(X1,rd(X1,mult(X1,mult(X1,X1)))) = ld(mult(X1,mult(X1,mult(X1,X1))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_143,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_114,c_0_102]),c_0_121]),c_0_122]) ).
cnf(c_0_144,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_123,c_0_124]),c_0_27]),c_0_16]),c_0_32]),c_0_35]),c_0_27]),c_0_46]) ).
cnf(c_0_145,plain,
mult(mult(rd(X1,X1),X2),X2) = mult(rd(X1,X1),mult(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_125,c_0_126]),c_0_60]),c_0_60]),c_0_127]),c_0_8]),c_0_128]),c_0_70]),c_0_60]),c_0_60]),c_0_127]),c_0_8]),c_0_128]),c_0_70]),c_0_129]),c_0_56]),c_0_130]),c_0_131]),c_0_132]),c_0_12]),c_0_70]),c_0_133]),c_0_70]),c_0_60]),c_0_60]),c_0_127]),c_0_8]),c_0_128]),c_0_70]) ).
cnf(c_0_146,plain,
ld(ld(X1,X2),ld(X1,X3)) = mult(X1,ld(mult(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_134,c_0_12]) ).
cnf(c_0_147,negated_conjecture,
( mult(ld(X1,rd(mult(X2,ld(X1,ld(mult(ld(X1,X2),ld(mult(X1,X1),X1)),X1))),X1)),esk2_1(rd(X1,X1))) != esk2_1(rd(X1,X1))
| mult(esk1_1(rd(X1,X1)),rd(X1,X1)) != esk1_1(rd(X1,X1)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_41]),c_0_48]) ).
cnf(c_0_148,plain,
rd(X1,rd(ld(mult(X2,X2),X3),X3)) = mult(mult(X1,X2),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_136]),c_0_12]),c_0_15]),c_0_137]) ).
cnf(c_0_149,plain,
mult(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(X1,mult(mult(X1,X1),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_120]),c_0_138]) ).
cnf(c_0_150,plain,
mult(X1,mult(X2,ld(mult(mult(X2,X1),X2),X3))) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_20,c_0_93]) ).
cnf(c_0_151,plain,
ld(mult(X1,X1),rd(ld(X1,X2),X2)) = rd(X2,mult(X1,mult(X1,mult(X1,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_124]),c_0_64]),c_0_69]),c_0_140]) ).
cnf(c_0_152,plain,
ld(mult(X1,X1),ld(mult(X1,X1),X1)) = ld(mult(X1,mult(X1,mult(X1,X1))),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_104]),c_0_141]),c_0_122]),c_0_142]) ).
cnf(c_0_153,plain,
mult(mult(mult(X1,X2),X2),rd(X2,mult(X2,mult(X2,X2)))) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_143]) ).
cnf(c_0_154,plain,
ld(mult(X1,rd(X2,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_144,c_0_145]),c_0_46]),c_0_144]),c_0_132]),c_0_8]) ).
cnf(c_0_155,plain,
rd(ld(X1,X2),ld(X1,X2)) = mult(X1,ld(mult(X2,X1),X2)),
inference(spm,[status(thm)],[c_0_35,c_0_146]) ).
cnf(c_0_156,negated_conjecture,
( mult(mult(mult(X1,X1),mult(ld(mult(X1,mult(X1,mult(X1,X1))),X1),X1)),esk2_1(rd(X1,X1))) != esk2_1(rd(X1,X1))
| mult(esk1_1(rd(X1,X1)),rd(X1,X1)) != esk1_1(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(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_147,c_0_148]),c_0_29]),c_0_16]),c_0_32]),c_0_64]),c_0_29]),c_0_55]),c_0_138]),c_0_68]),c_0_149]),c_0_31]),c_0_56]),c_0_36]),c_0_29]),c_0_16]),c_0_150]),c_0_64]),c_0_148]),c_0_84]),c_0_138]),c_0_68]),c_0_29]),c_0_16]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]),c_0_32]),c_0_50]),c_0_35]) ).
cnf(c_0_157,plain,
ld(mult(X1,mult(X1,mult(X1,X1))),X1) = rd(X1,mult(X1,mult(X1,mult(X1,X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_35]),c_0_48]),c_0_152]) ).
cnf(c_0_158,plain,
mult(rd(X1,mult(X2,mult(X3,mult(X2,X1)))),X4) = ld(mult(mult(X2,X3),X2),X4),
inference(spm,[status(thm)],[c_0_29,c_0_11]) ).
cnf(c_0_159,plain,
ld(mult(X1,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_118,c_0_102]),c_0_68]),c_0_104]) ).
cnf(c_0_160,plain,
mult(mult(X1,X2),rd(X2,mult(X2,mult(X2,X2)))) = rd(X1,X2),
inference(spm,[status(thm)],[c_0_153,c_0_15]) ).
cnf(c_0_161,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_154]),c_0_40]) ).
cnf(c_0_162,plain,
mult(mult(X1,ld(mult(X2,X1),X2)),ld(X1,X2)) = ld(X1,X2),
inference(spm,[status(thm)],[c_0_15,c_0_155]) ).
cnf(c_0_163,negated_conjecture,
mult(rd(X1,X1),esk2_1(rd(X1,X1))) != esk2_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)],[c_0_156,c_0_157]),c_0_158]),c_0_68]),c_0_159]),c_0_160]),c_0_161])]) ).
cnf(c_0_164,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_162,c_0_161]),c_0_35]),c_0_161]),c_0_29]),c_0_70]),c_0_29]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP654+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 22:42:04 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 209.72/209.78 % Version : CSE_E---1.5
% 209.72/209.78 % Problem : theBenchmark.p
% 209.72/209.78 % Proof found
% 209.72/209.78 % SZS status Theorem for theBenchmark.p
% 209.72/209.78 % SZS output start Proof
% See solution above
% 209.72/209.80 % Total time : 209.114000 s
% 209.72/209.80 % SZS output end Proof
% 209.72/209.80 % Total time : 209.129000 s
%------------------------------------------------------------------------------