%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG072+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 0.35s 28.52s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 14 unt; 0 def)
% Number of atoms : 271 ( 110 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 334 ( 142 ~; 132 |; 34 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 39 !; 4 ?)
% 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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax6,axiom,
! [X1] :
( sorti2(X1)
=> ! [X2] :
( sorti2(X2)
=> sorti2(op2(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax6) ).
fof(ax7,axiom,
? [X1] :
( sorti1(X1)
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> ( op1(X2,X3) != X1
| ( op1(X2,X1) = X3
& X1 != unit1 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax7) ).
fof(ax2,axiom,
( ! [X1] :
( sorti1(X1)
=> ( op1(unit1,X1) = X1
& op1(X1,unit1) = X1 ) )
& ? [X2] :
( sorti1(X2)
& unit1 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax2) ).
fof(ax1,axiom,
sorti1(unit1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax1) ).
fof(ax4,axiom,
( ! [X1] :
( sorti2(X1)
=> ( op2(unit2,X1) = X1
& op2(X1,unit2) = X1 ) )
& ? [X2] :
( sorti2(X2)
& unit2 = X2 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax4) ).
fof(ax3,axiom,
sorti2(unit2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax3) ).
fof(ax8,axiom,
~ ? [X1] :
( sorti2(X1)
& ! [X2] :
( sorti2(X2)
=> ! [X3] :
( sorti2(X3)
=> ( op2(X2,X3) != X1
| ( op2(X2,X1) = X3
& X1 != unit2 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax8) ).
fof(c_0_8,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_9,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_8])])])])]) ).
fof(c_0_10,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)],[ax6])])])])]) ).
fof(c_0_11,plain,
! [X5,X6] :
( sorti1(esk3_0)
& ( op1(X5,esk3_0) = X6
| op1(X5,X6) != esk3_0
| ~ sorti1(X6)
| ~ sorti1(X5) )
& ( esk3_0 != unit1
| op1(X5,X6) != esk3_0
| ~ sorti1(X6)
| ~ sorti1(X5) ) ),
inference(distribute,[status(thm)],[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)],[ax7])])])])])])]) ).
fof(c_0_12,plain,
! [X3] :
( ( op1(unit1,X3) = X3
| ~ sorti1(X3) )
& ( op1(X3,unit1) = X3
| ~ sorti1(X3) )
& sorti1(esk1_0)
& unit1 = esk1_0 ),
inference(distribute,[status(thm)],[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)],[ax2])])])])])])]) ).
cnf(c_0_13,negated_conjecture,
( h(op1(X1,X2)) = op2(h(X1),h(X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( op1(X1,esk3_0) = X2
| ~ sorti1(X1)
| ~ sorti1(X2)
| op1(X1,X2) != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( op1(X1,unit1) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
sorti1(unit1),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_21,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_13,c_0_14]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( sorti2(h(op1(X1,X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_13]),c_0_17]),c_0_17]) ).
cnf(c_0_23,plain,
( op1(X1,esk3_0) = unit1
| X1 != esk3_0
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
sorti1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_25,plain,
! [X3] :
( ( op2(unit2,X3) = X3
| ~ sorti2(X3) )
& ( op2(X3,unit2) = X3
| ~ sorti2(X3) )
& sorti2(esk2_0)
& unit2 = esk2_0 ),
inference(distribute,[status(thm)],[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_26,negated_conjecture,
( h(j(X1)) = op2(X1,h(unit1))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_19]),c_0_20])]),c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( sorti2(h(unit1))
| X1 != esk3_0
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_28,negated_conjecture,
( j(op2(X1,X2)) = op1(j(X1),j(X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,plain,
( op2(unit2,X1) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( op2(X1,h(unit1)) = X1
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
sorti2(h(unit1)),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_33,plain,
sorti2(unit2),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_34,plain,
( op1(unit1,X1) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,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_28,c_0_29]),c_0_17]) ).
cnf(c_0_36,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_28,c_0_29]),c_0_17]) ).
cnf(c_0_37,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_14]),c_0_15]) ).
cnf(c_0_38,negated_conjecture,
h(unit1) = unit2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_39,plain,
( op1(unit1,esk3_0) = X1
| X1 != esk3_0
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_34]),c_0_20])]) ).
cnf(c_0_40,negated_conjecture,
( j(h(op1(X1,X2))) = op1(j(h(X1)),X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_13]),c_0_17]) ).
cnf(c_0_41,negated_conjecture,
( j(h(op1(X1,X2))) = op1(X1,j(h(X2)))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_13]),c_0_17]) ).
cnf(c_0_42,negated_conjecture,
( h(j(op2(X1,X2))) = op2(h(j(X1)),X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_15]) ).
cnf(c_0_43,negated_conjecture,
( h(j(op2(X1,X2))) = op2(X1,h(j(X2)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_28]),c_0_15]) ).
cnf(c_0_44,negated_conjecture,
( op1(j(X1),esk3_0) = j(X2)
| j(op2(X1,X2)) != esk3_0
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_28]),c_0_15]),c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( j(op2(unit2,X1)) = op1(unit1,j(X1))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_38]),c_0_20])]) ).
cnf(c_0_46,negated_conjecture,
j(unit2) = unit1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_38]),c_0_20])]) ).
cnf(c_0_47,plain,
op1(unit1,esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_39,c_0_24]) ).
cnf(c_0_48,negated_conjecture,
( op1(j(h(X1)),X2) = op1(X1,j(h(X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_49,plain,
! [X4] :
( ( sorti2(esk4_1(X4))
| ~ sorti2(X4) )
& ( sorti2(esk5_1(X4))
| ~ sorti2(X4) )
& ( op2(esk4_1(X4),esk5_1(X4)) = X4
| ~ sorti2(X4) )
& ( op2(esk4_1(X4),X4) != esk5_1(X4)
| X4 = unit2
| ~ sorti2(X4) ) ),
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)],[ax8])])])])])]) ).
cnf(c_0_50,negated_conjecture,
( op2(h(j(X1)),X2) = op2(X1,h(j(X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
( sorti2(h(j(op2(X1,X2))))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_28]),c_0_15]),c_0_15]) ).
cnf(c_0_52,negated_conjecture,
( j(X1) = esk3_0
| op1(unit1,j(X1)) != esk3_0
| ~ sorti2(X1) ),
inference(cn,[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_46]),c_0_47]),c_0_33])]) ).
cnf(c_0_53,negated_conjecture,
( op1(X1,j(h(X2))) = op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_29]) ).
cnf(c_0_54,plain,
( X1 = unit2
| ~ sorti2(X1)
| op2(esk4_1(X1),X1) != esk5_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( op2(X1,h(j(X2))) = op2(X1,X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_14]) ).
cnf(c_0_56,plain,
( sorti2(esk4_1(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( sorti2(h(j(X1)))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_30]),c_0_33])]) ).
cnf(c_0_58,negated_conjecture,
( j(h(X1)) = esk3_0
| op1(unit1,X1) != esk3_0
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_20])]),c_0_17]) ).
cnf(c_0_59,negated_conjecture,
( h(j(X1)) = unit2
| op2(esk4_1(h(j(X1))),X1) != esk5_1(h(j(X1)))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]) ).
cnf(c_0_60,negated_conjecture,
( op2(X1,h(esk3_0)) = op2(X1,h(X2))
| op1(unit1,X2) != esk3_0
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_17]) ).
cnf(c_0_61,negated_conjecture,
j(h(esk3_0)) = esk3_0,
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(spm,[status(thm)],[c_0_40,c_0_47]),c_0_38]),c_0_46]),c_0_47]),c_0_24]),c_0_20])]) ).
cnf(c_0_62,negated_conjecture,
sorti2(h(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_24]),c_0_20])]) ).
cnf(c_0_63,negated_conjecture,
( op2(h(X1),h(X2)) = h(op1(X1,esk3_0))
| op1(unit1,X2) != esk3_0
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_58]),c_0_17]) ).
cnf(c_0_64,negated_conjecture,
( h(esk3_0) = unit2
| op2(esk4_1(h(esk3_0)),h(X1)) != esk5_1(h(esk3_0))
| op1(unit1,X1) != esk3_0
| ~ sorti2(esk4_1(h(esk3_0)))
| ~ sorti1(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(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_61]),c_0_61]),c_0_62]),c_0_61])]) ).
cnf(c_0_65,negated_conjecture,
( op2(X1,h(X2)) = h(op1(j(X1),esk3_0))
| op1(unit1,X2) != esk3_0
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_14]),c_0_15]) ).
cnf(c_0_66,plain,
( op2(esk4_1(X1),esk5_1(X1)) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_67,plain,
( sorti2(esk5_1(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_68,negated_conjecture,
( h(esk3_0) = unit2
| h(op1(j(esk4_1(h(esk3_0))),esk3_0)) != esk5_1(h(esk3_0))
| op1(unit1,X1) != esk3_0
| ~ sorti2(esk4_1(h(esk3_0)))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( op1(j(esk4_1(X1)),esk3_0) = j(esk5_1(X1))
| j(X1) != esk3_0
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_66]),c_0_56]),c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( h(esk3_0) = unit2
| h(j(esk5_1(h(esk3_0)))) != esk5_1(h(esk3_0))
| op1(unit1,X1) != esk3_0
| ~ sorti2(esk4_1(h(esk3_0)))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_61]),c_0_62])]) ).
cnf(c_0_71,negated_conjecture,
( h(esk3_0) = unit2
| op1(unit1,X1) != esk3_0
| ~ sorti2(esk4_1(h(esk3_0)))
| ~ sorti2(esk5_1(h(esk3_0)))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_14]) ).
cnf(c_0_72,negated_conjecture,
( h(esk3_0) = unit2
| op1(unit1,X1) != esk3_0
| ~ sorti2(esk4_1(h(esk3_0)))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_67]),c_0_62])]) ).
cnf(c_0_73,plain,
( ~ sorti1(X1)
| ~ sorti1(X2)
| op1(X1,X2) != esk3_0
| esk3_0 != unit1 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_74,negated_conjecture,
( h(esk3_0) = unit2
| op1(unit1,X1) != esk3_0
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_56]),c_0_62])]) ).
cnf(c_0_75,plain,
( esk3_0 != unit1
| X1 != esk3_0
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_19]),c_0_20])]) ).
cnf(c_0_76,negated_conjecture,
h(esk3_0) = unit2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_47]),c_0_24])]) ).
cnf(c_0_77,plain,
esk3_0 != unit1,
inference(spm,[status(thm)],[c_0_75,c_0_24]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_76]),c_0_46]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG072+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n020.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 : Thu Jun 9 00:06:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/23.39 eprover: CPU time limit exceeded, terminating
% 0.33/23.39 eprover: CPU time limit exceeded, terminating
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.42 eprover: CPU time limit exceeded, terminating
% 0.35/28.52 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.35/28.52
% 0.35/28.52 # Failure: Resource limit exceeded (time)
% 0.35/28.52 # OLD status Res
% 0.35/28.52 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.35/28.52 # Preprocessing time : 0.015 s
% 0.35/28.52 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.35/28.52 # Preprocessing time : 0.014 s
% 0.35/28.52
% 0.35/28.52 # Proof found!
% 0.35/28.52 # SZS status Theorem
% 0.35/28.52 # SZS output start CNFRefutation
% See solution above
% 0.35/28.52 # Proof object total steps : 79
% 0.35/28.52 # Proof object clause steps : 64
% 0.35/28.52 # Proof object formula steps : 15
% 0.35/28.52 # Proof object conjectures : 49
% 0.35/28.52 # Proof object clause conjectures : 46
% 0.35/28.52 # Proof object formula conjectures : 3
% 0.35/28.52 # Proof object initial clauses used : 19
% 0.35/28.52 # Proof object initial formulas used : 8
% 0.35/28.52 # Proof object generating inferences : 44
% 0.35/28.52 # Proof object simplifying inferences : 75
% 0.35/28.52 # Training examples: 0 positive, 0 negative
% 0.35/28.52 # Parsed axioms : 9
% 0.35/28.52 # Removed by relevancy pruning/SinE : 0
% 0.35/28.52 # Initial clauses : 25
% 0.35/28.52 # Removed in clause preprocessing : 0
% 0.35/28.52 # Initial clauses in saturation : 25
% 0.35/28.52 # Processed clauses : 11136
% 0.35/28.52 # ...of these trivial : 83
% 0.35/28.52 # ...subsumed : 9675
% 0.35/28.52 # ...remaining for further processing : 1378
% 0.35/28.52 # Other redundant clauses eliminated : 0
% 0.35/28.52 # Clauses deleted for lack of memory : 230998
% 0.35/28.52 # Backward-subsumed : 25
% 0.35/28.52 # Backward-rewritten : 130
% 0.35/28.52 # Generated clauses : 392188
% 0.35/28.52 # ...of the previous two non-trivial : 384421
% 0.35/28.52 # Contextual simplify-reflections : 5672
% 0.35/28.52 # Paramodulations : 392188
% 0.35/28.52 # Factorizations : 0
% 0.35/28.52 # Equation resolutions : 0
% 0.35/28.52 # Current number of processed clauses : 1223
% 0.35/28.52 # Positive orientable unit clauses : 13
% 0.35/28.52 # Positive unorientable unit clauses: 0
% 0.35/28.52 # Negative unit clauses : 1
% 0.35/28.52 # Non-unit-clauses : 1209
% 0.35/28.52 # Current number of unprocessed clauses: 128086
% 0.35/28.52 # ...number of literals in the above : 709864
% 0.35/28.52 # Current number of archived formulas : 0
% 0.35/28.52 # Current number of archived clauses : 155
% 0.35/28.52 # Clause-clause subsumption calls (NU) : 875840
% 0.35/28.52 # Rec. Clause-clause subsumption calls : 215555
% 0.35/28.52 # Non-unit clause-clause subsumptions : 11587
% 0.35/28.52 # Unit Clause-clause subsumption calls : 36
% 0.35/28.52 # Rewrite failures with RHS unbound : 0
% 0.35/28.52 # BW rewrite match attempts : 5
% 0.35/28.52 # BW rewrite match successes : 5
% 0.35/28.52 # Condensation attempts : 0
% 0.35/28.52 # Condensation successes : 0
% 0.35/28.52 # Termbank termtop insertions : 9374297
% 0.35/28.52
% 0.35/28.52 # -------------------------------------------------
% 0.35/28.52 # User time : 4.548 s
% 0.35/28.52 # System time : 0.090 s
% 0.35/28.52 # Total time : 4.638 s
% 0.35/28.52 # Maximum resident set size: 129584 pages
% 0.35/46.41 eprover: CPU time limit exceeded, terminating
% 0.35/46.42 eprover: CPU time limit exceeded, terminating
% 0.35/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.43 eprover: No such file or directory
% 0.35/46.43 eprover: CPU time limit exceeded, terminating
% 0.35/46.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.43 eprover: No such file or directory
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
%------------------------------------------------------------------------------