TSTP Solution File: ALG071+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : 600s
% DateTime : Thu Jul 14 16:47:34 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 79 ( 5 unt; 0 def)
% Number of atoms : 274 ( 70 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 354 ( 159 ~; 151 |; 20 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) )
& ! [X2] :
( sorti2(X2)
=> sorti1(j(X2)) ) )
=> ~ ( ! [X3] :
( sorti1(X3)
=> ! [X4] :
( sorti1(X4)
=> h(op1(X3,X4)) = op2(h(X3),h(X4)) ) )
& ! [X5] :
( sorti2(X5)
=> ! [X6] :
( sorti2(X6)
=> j(op2(X5,X6)) = op1(j(X5),j(X6)) ) )
& ! [X7] :
( sorti2(X7)
=> h(j(X7)) = X7 )
& ! [X8] :
( sorti1(X8)
=> j(h(X8)) = X8 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax1,axiom,
! [X1] :
( sorti1(X1)
=> ! [X2] :
( sorti1(X2)
=> sorti1(op1(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax1) ).
fof(ax2,axiom,
! [X1] :
( sorti2(X1)
=> ! [X2] :
( sorti2(X2)
=> sorti2(op2(X1,X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax2) ).
fof(ax4,axiom,
~ ! [X1] :
( sorti2(X1)
=> ? [X2] :
( sorti2(X2)
& op2(X2,op2(X2,X1)) != X1
& op2(X1,op2(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax4) ).
fof(ax3,axiom,
! [X1] :
( sorti1(X1)
=> ? [X2] :
( sorti1(X2)
& op1(X2,op1(X2,X1)) != X1
& op1(X1,op1(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax3) ).
fof(c_0_5,negated_conjecture,
~ ( ( ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) )
& ! [X2] :
( sorti2(X2)
=> sorti1(j(X2)) ) )
=> ~ ( ! [X3] :
( sorti1(X3)
=> ! [X4] :
( sorti1(X4)
=> h(op1(X3,X4)) = op2(h(X3),h(X4)) ) )
& ! [X5] :
( sorti2(X5)
=> ! [X6] :
( sorti2(X6)
=> j(op2(X5,X6)) = op1(j(X5),j(X6)) ) )
& ! [X7] :
( sorti2(X7)
=> h(j(X7)) = X7 )
& ! [X8] :
( sorti1(X8)
=> j(h(X8)) = X8 ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,negated_conjecture,
! [X9,X10,X11,X12,X13,X14,X15,X16] :
( ( ~ sorti1(X9)
| sorti2(h(X9)) )
& ( ~ sorti2(X10)
| sorti1(j(X10)) )
& ( ~ sorti1(X11)
| ~ sorti1(X12)
| h(op1(X11,X12)) = op2(h(X11),h(X12)) )
& ( ~ sorti2(X13)
| ~ sorti2(X14)
| j(op2(X13,X14)) = op1(j(X13),j(X14)) )
& ( ~ sorti2(X15)
| h(j(X15)) = X15 )
& ( ~ sorti1(X16)
| j(h(X16)) = X16 ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_7,plain,
! [X3,X4] :
( ~ sorti1(X3)
| ~ sorti1(X4)
| sorti1(op1(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])])]) ).
fof(c_0_8,plain,
! [X3,X4] :
( ~ sorti2(X3)
| ~ sorti2(X4)
| sorti2(op2(X3,X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])])])])]) ).
cnf(c_0_9,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( h(op1(X1,X2)) = op2(h(X1),h(X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( sorti1(op1(X1,X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( j(op2(X1,X2)) = op1(j(X1),j(X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( j(op2(h(X1),h(X2))) = op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( sorti2(op2(h(X1),h(X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_10]),c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( h(op1(j(X1),j(X2))) = op2(X1,X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( j(op2(h(X1),X2)) = op1(X1,j(X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( sorti2(op2(h(X1),X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( h(op1(j(X1),X2)) = op2(X1,h(X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_9]),c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( h(op1(X1,j(X2))) = op2(h(X1),X2)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_20]),c_0_21]) ).
fof(c_0_24,plain,
! [X4] :
( sorti2(esk2_0)
& ( ~ sorti2(X4)
| op2(X4,op2(X4,esk2_0)) = esk2_0
| op2(esk2_0,op2(X4,esk2_0)) != X4 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])])]) ).
cnf(c_0_25,negated_conjecture,
( j(op2(X1,h(X2))) = op1(j(X1),X2)
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( op2(h(j(X1)),X2) = op2(X1,h(j(X2)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]),c_0_17]) ).
cnf(c_0_27,plain,
( op2(X1,op2(X1,esk2_0)) = esk2_0
| op2(esk2_0,op2(X1,esk2_0)) != X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( op2(h(j(X1)),X2) = op2(X1,X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_23]),c_0_17]) ).
cnf(c_0_29,plain,
sorti2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( j(op2(h(j(X1)),X2)) = op1(j(X1),j(X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17]) ).
cnf(c_0_31,negated_conjecture,
( op2(h(j(X1)),op2(X1,esk2_0)) = esk2_0
| h(j(X1)) != op2(esk2_0,op2(X1,esk2_0))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_32,negated_conjecture,
( op1(j(X1),j(op2(X1,esk2_0))) = j(esk2_0)
| h(j(X1)) != op2(esk2_0,op2(X1,esk2_0))
| ~ sorti2(op2(X1,esk2_0))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( sorti1(op1(j(X1),j(X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_14]),c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( op1(j(X1),j(op2(X1,esk2_0))) = j(esk2_0)
| op2(esk2_0,op2(X1,esk2_0)) != X1
| ~ sorti2(op2(X1,esk2_0))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
( op2(h(X1),h(j(X2))) = op2(h(X1),X2)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_23]),c_0_17]) ).
cnf(c_0_36,negated_conjecture,
( sorti1(j(esk2_0))
| op2(esk2_0,op2(X1,esk2_0)) != X1
| ~ sorti2(op2(X1,esk2_0))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( op2(h(j(h(X1))),X2) = op2(h(X1),X2)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_12]) ).
cnf(c_0_38,negated_conjecture,
( sorti1(j(esk2_0))
| h(j(h(X1))) != op2(esk2_0,op2(h(X1),esk2_0))
| ~ sorti2(op2(h(X1),esk2_0))
| ~ sorti2(h(j(h(X1))))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_29])]) ).
fof(c_0_39,plain,
! [X3] :
( ( sorti1(esk1_1(X3))
| ~ sorti1(X3) )
& ( op1(esk1_1(X3),op1(esk1_1(X3),X3)) != X3
| ~ sorti1(X3) )
& ( op1(X3,op1(esk1_1(X3),X3)) = esk1_1(X3)
| ~ sorti1(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])]) ).
cnf(c_0_40,negated_conjecture,
( sorti1(j(esk2_0))
| h(j(h(X1))) != op2(esk2_0,op2(h(X1),esk2_0))
| ~ sorti2(op2(h(X1),esk2_0))
| ~ sorti1(j(h(X1)))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( sorti1(op1(op1(X1,X2),j(X3)))
| ~ sorti2(X3)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_16]),c_0_18]) ).
cnf(c_0_42,plain,
( op1(X1,op1(esk1_1(X1),X1)) = esk1_1(X1)
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( sorti1(j(esk2_0))
| op2(esk2_0,op2(h(X1),esk2_0)) != h(X1)
| ~ sorti2(op2(h(X1),esk2_0))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_9]) ).
cnf(c_0_44,negated_conjecture,
( sorti1(op1(j(X1),X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_9]),c_0_12]) ).
cnf(c_0_45,negated_conjecture,
( sorti1(op1(esk1_1(X1),j(X2)))
| ~ sorti2(X2)
| ~ sorti1(op1(esk1_1(X1),X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( sorti1(esk1_1(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,negated_conjecture,
( j(op2(h(X1),op2(X2,X3))) = op1(X1,op1(j(X2),j(X3)))
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_33]) ).
cnf(c_0_48,negated_conjecture,
( sorti1(j(esk2_0))
| op2(esk2_0,op2(X1,h(j(esk2_0)))) != h(j(X1))
| ~ sorti2(op2(X1,h(j(esk2_0))))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_29])]),c_0_17]) ).
cnf(c_0_49,negated_conjecture,
( sorti1(esk1_1(j(X1)))
| ~ sorti2(X1)
| ~ sorti1(op1(esk1_1(j(X1)),j(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_42]),c_0_17]) ).
cnf(c_0_50,negated_conjecture,
( sorti1(op1(esk1_1(X1),j(X2)))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_11]),c_0_46]) ).
cnf(c_0_51,negated_conjecture,
( j(op2(X1,op2(X2,X3))) = op1(j(X1),op1(j(X2),j(X3)))
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_13]),c_0_17]) ).
cnf(c_0_52,negated_conjecture,
( sorti1(j(esk2_0))
| op2(esk2_0,op2(X1,h(j(esk2_0)))) != X1
| ~ sorti2(op2(X1,h(j(esk2_0))))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_13]) ).
cnf(c_0_53,negated_conjecture,
( h(op1(j(X1),op1(X2,X3))) = op2(X1,op2(h(X2),h(X3)))
| ~ sorti2(X1)
| ~ sorti1(X3)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_18]) ).
cnf(c_0_54,negated_conjecture,
( sorti1(esk1_1(j(X1)))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_17]) ).
cnf(c_0_55,negated_conjecture,
( sorti2(op2(X1,h(X2)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_17]) ).
cnf(c_0_56,negated_conjecture,
( op1(j(h(j(X1))),op1(j(X1),j(esk2_0))) = j(esk2_0)
| h(j(X1)) != op2(esk2_0,op2(X1,esk2_0))
| ~ sorti2(h(j(X1)))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_29])]) ).
cnf(c_0_57,negated_conjecture,
( sorti1(j(esk2_0))
| h(j(h(X1))) != op2(esk2_0,op2(h(X1),h(j(esk2_0))))
| ~ sorti2(h(j(h(X1))))
| ~ sorti2(h(j(esk2_0)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_37]),c_0_21]) ).
cnf(c_0_58,negated_conjecture,
( h(op1(X1,op1(X2,X3))) = op2(h(X1),op2(h(X2),h(X3)))
| ~ sorti1(X3)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_9]),c_0_12]) ).
cnf(c_0_59,negated_conjecture,
( sorti1(esk1_1(op1(j(X1),X2)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_25]),c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( op1(j(X1),op1(j(X1),j(esk2_0))) = j(esk2_0)
| op2(esk2_0,op2(X1,esk2_0)) != X1
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_13]) ).
cnf(c_0_61,negated_conjecture,
( sorti1(j(esk2_0))
| op2(esk2_0,op2(h(X1),h(j(esk2_0)))) != h(X1)
| ~ sorti2(h(j(esk2_0)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_9]),c_0_12]) ).
cnf(c_0_62,negated_conjecture,
( op2(h(X1),op2(h(esk1_1(X1)),h(X1))) = h(esk1_1(X1))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_42]),c_0_46]) ).
cnf(c_0_63,negated_conjecture,
( sorti1(esk1_1(j(esk2_0)))
| op2(esk2_0,op2(X1,esk2_0)) != X1
| ~ sorti2(X1)
| ~ sorti1(op1(j(X1),j(esk2_0))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( sorti1(j(esk2_0))
| op2(esk2_0,op2(h(X1),esk2_0)) != h(X1)
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_13]),c_0_29])]) ).
cnf(c_0_65,negated_conjecture,
( op2(X1,op2(h(esk1_1(j(X1))),X1)) = h(esk1_1(j(X1)))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_13]),c_0_17]) ).
cnf(c_0_66,negated_conjecture,
( sorti1(esk1_1(j(esk2_0)))
| op2(esk2_0,op2(X1,esk2_0)) != X1
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_33]),c_0_29])]) ).
cnf(c_0_67,negated_conjecture,
( sorti2(op2(h(X1),op2(h(X2),h(X3))))
| ~ sorti1(X1)
| ~ sorti1(X3)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_10]),c_0_11]) ).
cnf(c_0_68,negated_conjecture,
( sorti1(j(esk2_0))
| ~ sorti1(esk1_1(j(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_29])]) ).
cnf(c_0_69,negated_conjecture,
( sorti1(esk1_1(j(esk2_0)))
| ~ sorti2(h(esk1_1(j(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_65]),c_0_29])]) ).
cnf(c_0_70,negated_conjecture,
( sorti2(h(esk1_1(X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_62]),c_0_46]) ).
cnf(c_0_71,negated_conjecture,
sorti1(j(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_54]),c_0_29])]) ).
cnf(c_0_72,negated_conjecture,
( op2(h(esk1_1(j(esk2_0))),op2(h(esk1_1(j(esk2_0))),esk2_0)) = esk2_0
| ~ sorti2(h(esk1_1(j(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_65]),c_0_29])]) ).
cnf(c_0_73,negated_conjecture,
sorti1(esk1_1(j(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_74,negated_conjecture,
( op1(esk1_1(j(esk2_0)),op1(j(h(esk1_1(j(esk2_0)))),j(esk2_0))) = j(esk2_0)
| ~ sorti2(h(esk1_1(j(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_72]),c_0_29]),c_0_73])]) ).
cnf(c_0_75,negated_conjecture,
( op1(esk1_1(j(esk2_0)),op1(esk1_1(j(esk2_0)),j(esk2_0))) = j(esk2_0)
| ~ sorti2(h(esk1_1(j(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_9]),c_0_73])]) ).
cnf(c_0_76,plain,
( ~ sorti1(X1)
| op1(esk1_1(X1),op1(esk1_1(X1),X1)) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_77,negated_conjecture,
op1(esk1_1(j(esk2_0)),op1(esk1_1(j(esk2_0)),j(esk2_0))) = j(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_12]),c_0_73])]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG071+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 05:19:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.014 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 79
% 0.23/1.41 # Proof object clause steps : 68
% 0.23/1.41 # Proof object formula steps : 11
% 0.23/1.41 # Proof object conjectures : 64
% 0.23/1.41 # Proof object clause conjectures : 61
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 13
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 55
% 0.23/1.41 # Proof object simplifying inferences : 64
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 5
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 13
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 13
% 0.23/1.41 # Processed clauses : 1091
% 0.23/1.41 # ...of these trivial : 0
% 0.23/1.41 # ...subsumed : 847
% 0.23/1.41 # ...remaining for further processing : 244
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 45
% 0.23/1.41 # Backward-rewritten : 33
% 0.23/1.41 # Generated clauses : 6941
% 0.23/1.41 # ...of the previous two non-trivial : 6855
% 0.23/1.41 # Contextual simplify-reflections : 1152
% 0.23/1.41 # Paramodulations : 6941
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 166
% 0.23/1.41 # Positive orientable unit clauses : 4
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 0
% 0.23/1.41 # Non-unit-clauses : 162
% 0.23/1.41 # Current number of unprocessed clauses: 4568
% 0.23/1.41 # ...number of literals in the above : 26257
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 78
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 20343
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 12883
% 0.23/1.41 # Non-unit clause-clause subsumptions : 2044
% 0.23/1.41 # Unit Clause-clause subsumption calls : 16
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 10
% 0.23/1.41 # BW rewrite match successes : 3
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 154938
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.245 s
% 0.23/1.41 # System time : 0.005 s
% 0.23/1.41 # Total time : 0.250 s
% 0.23/1.41 # Maximum resident set size: 7528 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------