TSTP Solution File: KLE028+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KLE028+2 : 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 : n013.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 05:25:45 EDT 2023
% Result : Theorem 274.84s 275.53s
% Output : CNFRefutation 274.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 30
% Syntax : Number of formulae : 179 ( 132 unt; 15 typ; 0 def)
% Number of atoms : 222 ( 165 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 106 ( 48 ~; 37 |; 14 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 7 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 185 ( 5 sgn; 66 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
addition: ( $i * $i ) > $i ).
tff(decl_23,type,
zero: $i ).
tff(decl_24,type,
multiplication: ( $i * $i ) > $i ).
tff(decl_25,type,
one: $i ).
tff(decl_26,type,
leq: ( $i * $i ) > $o ).
tff(decl_27,type,
test: $i > $o ).
tff(decl_28,type,
complement: ( $i * $i ) > $o ).
tff(decl_29,type,
c: $i > $i ).
tff(decl_30,type,
esk1_1: $i > $i ).
tff(decl_31,type,
esk2_0: $i ).
tff(decl_32,type,
esk3_0: $i ).
tff(decl_33,type,
esk4_0: $i ).
tff(decl_34,type,
esk5_0: $i ).
tff(decl_35,type,
esk6_0: $i ).
tff(decl_36,type,
esk7_0: $i ).
fof(test_3,axiom,
! [X4,X5] :
( test(X4)
=> ( c(X4) = X5
<=> complement(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(goals,conjecture,
! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> ( leq(addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))),addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))))
& leq(addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))),addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(test_2,axiom,
! [X4,X5] :
( complement(X5,X4)
<=> ( multiplication(X4,X5) = zero
& multiplication(X5,X4) = zero
& addition(X4,X5) = one ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(test_1,axiom,
! [X4] :
( test(X4)
<=> ? [X5] : complement(X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(right_annihilation,axiom,
! [X1] : multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(c_0_15,plain,
! [X38,X39] :
( ( c(X38) != X39
| complement(X38,X39)
| ~ test(X38) )
& ( ~ complement(X38,X39)
| c(X38) = X39
| ~ test(X38) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_3])])]) ).
fof(c_0_16,negated_conjecture,
~ ! [X4,X5,X6,X7,X8,X9] :
( ( test(X8)
& test(X9) )
=> ( leq(addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7)))),addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))))
& leq(addition(multiplication(X9,addition(multiplication(X8,X4),multiplication(c(X8),X6))),multiplication(c(X9),addition(multiplication(X8,X5),multiplication(c(X8),X7)))),addition(multiplication(X8,addition(multiplication(X9,X4),multiplication(c(X9),X5))),multiplication(c(X8),addition(multiplication(X9,X6),multiplication(c(X9),X7))))) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_17,plain,
( complement(X1,X2)
| c(X1) != X2
| ~ test(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,negated_conjecture,
( test(esk6_0)
& test(esk7_0)
& ( ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))
| ~ leq(addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,plain,
! [X36,X37] :
( ( multiplication(X36,X37) = zero
| ~ complement(X37,X36) )
& ( multiplication(X37,X36) = zero
| ~ complement(X37,X36) )
& ( addition(X36,X37) = one
| ~ complement(X37,X36) )
& ( multiplication(X36,X37) != zero
| multiplication(X37,X36) != zero
| addition(X36,X37) != one
| complement(X37,X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[test_2])])]) ).
cnf(c_0_20,plain,
( complement(X1,c(X1))
| ~ test(X1) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
test(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( multiplication(X1,X2) = zero
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
complement(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
( multiplication(X1,X2) = zero
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
zero = multiplication(c(esk7_0),esk7_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,plain,
( multiplication(X1,X2) = multiplication(c(esk7_0),esk7_0)
| ~ complement(X1,X2) ),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_27,plain,
! [X15] : addition(X15,zero) = X15,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_28,plain,
! [X10,X11] : addition(X10,X11) = addition(X11,X10),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
cnf(c_0_29,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = multiplication(esk7_0,c(esk7_0)),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_30,negated_conjecture,
test(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( multiplication(X1,X2) = multiplication(esk7_0,c(esk7_0))
| ~ complement(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_25]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
complement(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_20,c_0_30]) ).
cnf(c_0_35,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_36,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
multiplication(esk7_0,c(esk7_0)) = multiplication(c(esk6_0),esk6_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_38,plain,
! [X20] : multiplication(X20,one) = X20,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
cnf(c_0_39,negated_conjecture,
one = addition(esk7_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_32]) ).
fof(c_0_40,plain,
! [X21] : multiplication(one,X21) = X21,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
cnf(c_0_41,plain,
addition(multiplication(c(esk7_0),esk7_0),X1) = X1,
inference(rw,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_42,plain,
( multiplication(X1,X2) = multiplication(c(esk6_0),esk6_0)
| ~ complement(X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_29]),c_0_37]) ).
fof(c_0_43,plain,
! [X32,X34,X35] :
( ( ~ test(X32)
| complement(esk1_1(X32),X32) )
& ( ~ complement(X35,X34)
| test(X34) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[test_1])])])])]) ).
cnf(c_0_44,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( addition(X1,X2) = addition(esk7_0,c(esk7_0))
| ~ complement(X2,X1) ),
inference(rw,[status(thm)],[c_0_35,c_0_39]) ).
fof(c_0_46,plain,
! [X12,X13,X14] : addition(X14,addition(X13,X12)) = addition(addition(X14,X13),X12),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_47,plain,
! [X16] : addition(X16,X16) = X16,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
cnf(c_0_48,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_49,plain,
! [X25,X26,X27] : multiplication(addition(X25,X26),X27) = addition(multiplication(X25,X27),multiplication(X26,X27)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_50,plain,
addition(multiplication(c(esk6_0),esk6_0),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_29]),c_0_37]) ).
cnf(c_0_51,negated_conjecture,
multiplication(c(esk6_0),esk6_0) = multiplication(esk6_0,c(esk6_0)),
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_52,plain,
addition(X1,multiplication(c(esk7_0),esk7_0)) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_53,plain,
( test(X2)
| ~ complement(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_54,plain,
! [X22,X23,X24] : multiplication(X22,addition(X23,X24)) = addition(multiplication(X22,X23),multiplication(X22,X24)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_55,plain,
multiplication(X1,addition(esk7_0,c(esk7_0))) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_56,negated_conjecture,
addition(esk7_0,c(esk7_0)) = addition(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_34]),c_0_32]) ).
cnf(c_0_57,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
multiplication(addition(esk7_0,c(esk7_0)),X1) = X1,
inference(rw,[status(thm)],[c_0_48,c_0_39]) ).
cnf(c_0_60,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
addition(multiplication(esk6_0,c(esk6_0)),X1) = X1,
inference(rw,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,plain,
addition(X1,multiplication(c(esk6_0),esk6_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_29]),c_0_37]) ).
cnf(c_0_63,negated_conjecture,
test(c(esk7_0)),
inference(spm,[status(thm)],[c_0_53,c_0_23]) ).
fof(c_0_64,plain,
! [X28] : multiplication(X28,zero) = zero,
inference(variable_rename,[status(thm)],[right_annihilation]) ).
cnf(c_0_65,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
multiplication(X1,addition(esk6_0,c(esk6_0))) = X1,
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,plain,
addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_57]) ).
cnf(c_0_68,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_69,plain,
multiplication(addition(esk6_0,c(esk6_0)),X1) = X1,
inference(rw,[status(thm)],[c_0_59,c_0_56]) ).
cnf(c_0_70,plain,
multiplication(addition(esk6_0,X1),c(esk6_0)) = multiplication(X1,c(esk6_0)),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,plain,
multiplication(addition(X1,c(esk6_0)),esk6_0) = multiplication(X1,esk6_0),
inference(spm,[status(thm)],[c_0_60,c_0_62]) ).
cnf(c_0_72,plain,
( addition(X1,X2) = addition(esk6_0,c(esk6_0))
| ~ complement(X2,X1) ),
inference(rw,[status(thm)],[c_0_45,c_0_56]) ).
cnf(c_0_73,negated_conjecture,
complement(c(esk7_0),c(c(esk7_0))),
inference(spm,[status(thm)],[c_0_20,c_0_63]) ).
cnf(c_0_74,plain,
multiplication(X1,zero) = zero,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_75,plain,
! [X30,X31] :
( ( ~ leq(X30,X31)
| addition(X30,X31) = X31 )
& ( addition(X30,X31) != X31
| leq(X30,X31) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).
cnf(c_0_76,negated_conjecture,
multiplication(esk7_0,c(esk7_0)) = multiplication(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[c_0_37,c_0_51]) ).
cnf(c_0_77,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(esk6_0,addition(c(esk6_0),X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_57]) ).
cnf(c_0_78,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_67,c_0_58]) ).
fof(c_0_79,plain,
! [X17,X18,X19] : multiplication(X17,multiplication(X18,X19)) = multiplication(multiplication(X17,X18),X19),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
cnf(c_0_80,negated_conjecture,
multiplication(c(esk7_0),esk7_0) = multiplication(c(esk6_0),esk6_0),
inference(rw,[status(thm)],[c_0_29,c_0_37]) ).
cnf(c_0_81,plain,
addition(multiplication(addition(X1,X2),X3),X4) = addition(multiplication(X1,X3),addition(multiplication(X2,X3),X4)),
inference(spm,[status(thm)],[c_0_57,c_0_60]) ).
cnf(c_0_82,negated_conjecture,
addition(esk6_0,addition(c(esk6_0),esk7_0)) = addition(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_56]),c_0_32]),c_0_57]) ).
cnf(c_0_83,plain,
multiplication(c(esk6_0),c(esk6_0)) = c(esk6_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_84,plain,
multiplication(esk6_0,esk6_0) = esk6_0,
inference(spm,[status(thm)],[c_0_69,c_0_71]) ).
cnf(c_0_85,negated_conjecture,
addition(c(esk7_0),c(c(esk7_0))) = addition(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_32]) ).
cnf(c_0_86,plain,
multiplication(X1,multiplication(c(esk7_0),esk7_0)) = multiplication(c(esk7_0),esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_25]),c_0_25]) ).
cnf(c_0_87,negated_conjecture,
( ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))
| ~ leq(addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_88,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_89,negated_conjecture,
multiplication(addition(esk7_0,X1),c(esk7_0)) = multiplication(X1,c(esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_76]),c_0_61]) ).
cnf(c_0_90,plain,
addition(X1,multiplication(X1,esk6_0)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_32]),c_0_66]) ).
cnf(c_0_91,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,negated_conjecture,
multiplication(addition(c(esk7_0),X1),esk7_0) = multiplication(X1,esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_80]),c_0_50]) ).
cnf(c_0_93,plain,
addition(multiplication(X1,X2),addition(multiplication(c(esk6_0),X2),multiplication(X1,esk6_0))) = multiplication(addition(X1,c(esk6_0)),addition(X2,esk6_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_71]),c_0_81]) ).
cnf(c_0_94,negated_conjecture,
multiplication(addition(c(esk6_0),esk7_0),c(esk6_0)) = c(esk6_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_82]),c_0_70]),c_0_83]) ).
cnf(c_0_95,plain,
multiplication(addition(c(esk6_0),X1),esk6_0) = multiplication(X1,esk6_0),
inference(spm,[status(thm)],[c_0_60,c_0_50]) ).
cnf(c_0_96,plain,
addition(esk6_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,addition(esk6_0,X1)),
inference(spm,[status(thm)],[c_0_65,c_0_84]) ).
cnf(c_0_97,negated_conjecture,
addition(X1,multiplication(X1,esk7_0)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_82]),c_0_66]) ).
cnf(c_0_98,negated_conjecture,
addition(esk6_0,addition(c(esk6_0),c(esk7_0))) = addition(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_85]),c_0_32]),c_0_57]) ).
cnf(c_0_99,plain,
multiplication(X1,multiplication(esk7_0,c(esk7_0))) = multiplication(esk7_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_29]),c_0_29]) ).
cnf(c_0_100,negated_conjecture,
( addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))) != addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))
| ~ leq(addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_57]) ).
cnf(c_0_101,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,c(esk7_0))) = multiplication(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_37]),c_0_51]),c_0_91]) ).
cnf(c_0_102,negated_conjecture,
multiplication(addition(X1,c(esk7_0)),esk7_0) = multiplication(X1,esk7_0),
inference(spm,[status(thm)],[c_0_92,c_0_32]) ).
cnf(c_0_103,plain,
addition(X1,multiplication(esk6_0,c(esk6_0))) = X1,
inference(rw,[status(thm)],[c_0_62,c_0_51]) ).
cnf(c_0_104,plain,
multiplication(esk6_0,addition(c(esk6_0),X1)) = multiplication(esk6_0,X1),
inference(spm,[status(thm)],[c_0_65,c_0_61]) ).
cnf(c_0_105,negated_conjecture,
addition(c(esk6_0),multiplication(esk7_0,esk6_0)) = addition(c(esk6_0),esk7_0),
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_93,c_0_94]),c_0_83]),c_0_95]),c_0_68]),c_0_57]),c_0_78]),c_0_32]),c_0_32]),c_0_66]) ).
cnf(c_0_106,plain,
addition(multiplication(X1,addition(X2,X3)),X4) = addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)),
inference(spm,[status(thm)],[c_0_57,c_0_65]) ).
cnf(c_0_107,negated_conjecture,
multiplication(esk6_0,addition(esk6_0,esk7_0)) = esk6_0,
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_108,negated_conjecture,
multiplication(addition(c(esk6_0),c(esk7_0)),c(esk6_0)) = c(esk6_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_98]),c_0_70]),c_0_83]) ).
cnf(c_0_109,negated_conjecture,
addition(X1,multiplication(X1,c(esk7_0))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_98]),c_0_66]) ).
cnf(c_0_110,plain,
addition(multiplication(X1,esk6_0),multiplication(addition(X1,c(esk6_0)),X2)) = multiplication(addition(X1,c(esk6_0)),addition(esk6_0,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_71]) ).
cnf(c_0_111,plain,
multiplication(X1,multiplication(c(esk6_0),esk6_0)) = multiplication(c(esk6_0),esk6_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_37]),c_0_37]) ).
cnf(c_0_112,negated_conjecture,
( addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))) != addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))
| addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_88]),c_0_57]) ).
cnf(c_0_113,negated_conjecture,
multiplication(esk7_0,addition(multiplication(esk6_0,c(esk7_0)),X1)) = multiplication(esk7_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_101]),c_0_61]) ).
cnf(c_0_114,negated_conjecture,
addition(multiplication(X1,X2),addition(multiplication(c(esk7_0),X2),multiplication(X1,esk7_0))) = multiplication(addition(X1,c(esk7_0)),addition(X2,esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_102]),c_0_81]) ).
cnf(c_0_115,negated_conjecture,
multiplication(esk7_0,addition(X1,c(esk7_0))) = multiplication(esk7_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_103]) ).
cnf(c_0_116,negated_conjecture,
multiplication(c(esk7_0),c(esk7_0)) = c(esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_56]),c_0_69]) ).
cnf(c_0_117,negated_conjecture,
multiplication(esk7_0,addition(c(esk7_0),X1)) = multiplication(esk7_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_61]) ).
cnf(c_0_118,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(esk6_0,addition(c(esk6_0),X2)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_69]),c_0_57]) ).
cnf(c_0_119,negated_conjecture,
multiplication(esk6_0,multiplication(esk7_0,esk6_0)) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_104]) ).
cnf(c_0_120,negated_conjecture,
multiplication(esk6_0,multiplication(esk7_0,c(esk6_0))) = multiplication(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_97]),c_0_91]) ).
cnf(c_0_121,negated_conjecture,
addition(esk6_0,addition(multiplication(esk6_0,esk7_0),X1)) = addition(esk6_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_84]) ).
cnf(c_0_122,negated_conjecture,
addition(c(esk6_0),multiplication(c(esk7_0),esk6_0)) = addition(c(esk6_0),c(esk7_0)),
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_93,c_0_108]),c_0_83]),c_0_95]),c_0_68]),c_0_57]),c_0_78]),c_0_32]),c_0_32]),c_0_66]) ).
cnf(c_0_123,negated_conjecture,
multiplication(esk6_0,multiplication(c(esk7_0),c(esk6_0))) = multiplication(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_109]),c_0_91]) ).
cnf(c_0_124,negated_conjecture,
multiplication(esk6_0,addition(esk6_0,c(esk7_0))) = esk6_0,
inference(spm,[status(thm)],[c_0_96,c_0_109]) ).
cnf(c_0_125,plain,
multiplication(c(esk6_0),addition(esk6_0,X1)) = multiplication(c(esk6_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_61]),c_0_91]),c_0_111]),c_0_51]),c_0_61]) ).
cnf(c_0_126,negated_conjecture,
( addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))) != addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))
| addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))) ),
inference(rw,[status(thm)],[c_0_112,c_0_67]) ).
cnf(c_0_127,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_32]),c_0_57]) ).
cnf(c_0_128,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,esk7_0)) = multiplication(esk7_0,esk6_0),
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_113,c_0_114]),c_0_32]),c_0_56]),c_0_66]),c_0_115]),c_0_116]),c_0_117]) ).
cnf(c_0_129,negated_conjecture,
addition(multiplication(esk6_0,esk7_0),multiplication(esk7_0,esk6_0)) = multiplication(esk7_0,esk6_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_32]),c_0_68]),c_0_69]),c_0_32]) ).
cnf(c_0_130,negated_conjecture,
addition(X1,multiplication(esk7_0,multiplication(esk6_0,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_91]),c_0_82]),c_0_69]) ).
cnf(c_0_131,negated_conjecture,
multiplication(esk6_0,addition(esk6_0,multiplication(esk7_0,c(esk6_0)))) = esk6_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_120]),c_0_103]) ).
cnf(c_0_132,negated_conjecture,
addition(esk6_0,multiplication(c(esk6_0),esk7_0)) = addition(esk6_0,esk7_0),
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_121,c_0_93]),c_0_32]),c_0_69]),c_0_68]),c_0_84]),c_0_78]),c_0_32]) ).
cnf(c_0_133,negated_conjecture,
addition(esk7_0,addition(c(esk7_0),X1)) = addition(esk6_0,addition(c(esk6_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_57]) ).
cnf(c_0_134,plain,
addition(X1,multiplication(esk6_0,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_78]),c_0_32]),c_0_69]) ).
cnf(c_0_135,negated_conjecture,
addition(X1,multiplication(c(esk7_0),multiplication(esk6_0,X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_122]),c_0_91]),c_0_98]),c_0_69]) ).
cnf(c_0_136,negated_conjecture,
multiplication(esk6_0,addition(esk6_0,multiplication(c(esk7_0),c(esk6_0)))) = esk6_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_123]),c_0_103]) ).
cnf(c_0_137,negated_conjecture,
addition(esk6_0,multiplication(c(esk6_0),c(esk7_0))) = addition(esk6_0,c(esk7_0)),
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_93,c_0_124]),c_0_125]),c_0_84]),c_0_78]),c_0_57]),c_0_78]),c_0_32]),c_0_69]),c_0_32]) ).
cnf(c_0_138,negated_conjecture,
( addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))) != addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))
| addition(multiplication(esk6_0,addition(multiplication(esk7_0,esk2_0),multiplication(c(esk7_0),esk3_0))),addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),addition(multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))) != addition(multiplication(esk7_0,addition(multiplication(esk6_0,esk2_0),multiplication(c(esk6_0),esk4_0))),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_127]) ).
cnf(c_0_139,negated_conjecture,
multiplication(esk7_0,esk6_0) = multiplication(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_128]),c_0_129]),c_0_82]),c_0_69]) ).
cnf(c_0_140,negated_conjecture,
addition(esk6_0,multiplication(esk7_0,c(esk6_0))) = addition(esk6_0,esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_57]),c_0_65]),c_0_32]),c_0_66]) ).
cnf(c_0_141,negated_conjecture,
multiplication(c(esk6_0),multiplication(esk7_0,c(esk6_0))) = multiplication(esk7_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_132]),c_0_70]),c_0_91]) ).
cnf(c_0_142,negated_conjecture,
addition(X1,multiplication(c(esk7_0),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_98]),c_0_69]) ).
cnf(c_0_143,negated_conjecture,
addition(esk6_0,addition(c(esk6_0),multiplication(esk6_0,c(esk7_0)))) = addition(esk6_0,c(esk6_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_56]) ).
cnf(c_0_144,negated_conjecture,
addition(esk6_0,multiplication(c(esk7_0),c(esk6_0))) = addition(esk6_0,c(esk7_0)),
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_57]),c_0_65]),c_0_32]),c_0_66]) ).
cnf(c_0_145,negated_conjecture,
multiplication(c(esk6_0),multiplication(c(esk7_0),c(esk6_0))) = multiplication(c(esk7_0),c(esk6_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_137]),c_0_70]),c_0_91]) ).
cnf(c_0_146,negated_conjecture,
( addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))
| addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))))))) != addition(multiplication(esk7_0,multiplication(esk6_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))))) ),
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)],[c_0_138,c_0_106]),c_0_106]),c_0_106]),c_0_127]),c_0_127]),c_0_106]),c_0_106]),c_0_106]),c_0_106]),c_0_127]),c_0_127]),c_0_106]) ).
cnf(c_0_147,negated_conjecture,
multiplication(esk7_0,multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_139]),c_0_91]) ).
cnf(c_0_148,negated_conjecture,
multiplication(esk7_0,c(esk6_0)) = multiplication(c(esk6_0),esk7_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_140]),c_0_125]),c_0_141]) ).
cnf(c_0_149,negated_conjecture,
addition(X1,multiplication(c(esk7_0),multiplication(c(esk6_0),X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_142]),c_0_91]),c_0_69]) ).
cnf(c_0_150,negated_conjecture,
multiplication(c(esk6_0),addition(c(esk6_0),multiplication(esk6_0,c(esk7_0)))) = c(esk6_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_143]),c_0_66]) ).
cnf(c_0_151,negated_conjecture,
multiplication(c(esk7_0),c(esk6_0)) = multiplication(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_144]),c_0_125]),c_0_145]) ).
cnf(c_0_152,negated_conjecture,
( addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))
| addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),addition(multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk7_0,multiplication(c(esk6_0),esk4_0)),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147]),c_0_68]),c_0_147]),c_0_68]),c_0_147]) ).
cnf(c_0_153,plain,
addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4)) = addition(X4,multiplication(X1,addition(X2,X3))),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_154,negated_conjecture,
multiplication(esk7_0,multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(esk7_0,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_148]),c_0_91]) ).
cnf(c_0_155,negated_conjecture,
addition(c(esk6_0),multiplication(esk6_0,c(esk7_0))) = addition(c(esk6_0),c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_57]),c_0_60]),c_0_69]) ).
cnf(c_0_156,negated_conjecture,
multiplication(esk6_0,multiplication(c(esk7_0),esk6_0)) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_122]),c_0_104]) ).
cnf(c_0_157,negated_conjecture,
( addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0)))))
| addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk7_0),addition(multiplication(esk6_0,esk3_0),multiplication(c(esk6_0),esk5_0))))) ),
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_152,c_0_153]),c_0_154]),c_0_68]),c_0_154]),c_0_68]),c_0_154]) ).
cnf(c_0_158,plain,
addition(multiplication(X1,X2),addition(X3,multiplication(X1,X4))) = addition(X3,multiplication(X1,addition(X2,X4))),
inference(spm,[status(thm)],[c_0_127,c_0_65]) ).
cnf(c_0_159,negated_conjecture,
multiplication(c(esk7_0),esk6_0) = multiplication(esk6_0,c(esk7_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_155]),c_0_95]),c_0_91]),c_0_156]) ).
cnf(c_0_160,negated_conjecture,
( addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0)))))
| addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),addition(multiplication(c(esk7_0),multiplication(esk6_0,esk3_0)),addition(multiplication(c(esk6_0),multiplication(esk7_0,esk4_0)),addition(multiplication(c(esk6_0),multiplication(c(esk7_0),esk5_0)),multiplication(c(esk7_0),multiplication(c(esk6_0),esk5_0))))))) != addition(multiplication(esk6_0,multiplication(esk7_0,esk2_0)),addition(multiplication(esk6_0,multiplication(c(esk7_0),esk3_0)),multiplication(c(esk6_0),addition(multiplication(esk7_0,esk4_0),multiplication(c(esk7_0),esk5_0))))) ),
inference(rw,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_161,negated_conjecture,
multiplication(c(esk7_0),multiplication(c(esk6_0),X1)) = multiplication(c(esk6_0),multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_151]),c_0_91]) ).
cnf(c_0_162,negated_conjecture,
multiplication(c(esk7_0),multiplication(esk6_0,X1)) = multiplication(esk6_0,multiplication(c(esk7_0),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_159]),c_0_91]) ).
cnf(c_0_163,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162]),c_0_58]),c_0_65]),c_0_68]),c_0_162]),c_0_65]),c_0_162]),c_0_58]),c_0_65]),c_0_68])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : KLE028+2 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.07/0.26 % Computer : n013.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Aug 29 11:08:01 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.11/0.41 start to proof: theBenchmark
% 274.84/275.53 % Version : CSE_E---1.5
% 274.84/275.53 % Problem : theBenchmark.p
% 274.84/275.53 % Proof found
% 274.84/275.53 % SZS status Theorem for theBenchmark.p
% 274.84/275.53 % SZS output start Proof
% See solution above
% 274.93/275.55 % Total time : 274.394000 s
% 274.93/275.55 % SZS output end Proof
% 274.93/275.55 % Total time : 274.409000 s
%------------------------------------------------------------------------------