TSTP Solution File: ALG074+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG074+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : Sat May 4 07:18:10 EDT 2024
% Result : Theorem 66.55s 8.87s
% Output : CNFRefutation 66.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 96 ( 17 unt; 0 def)
% Number of atoms : 290 ( 81 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 333 ( 139 ~; 139 |; 33 &)
% ( 0 <=>; 22 =>; 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 34 !; 8 ?)
% 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/tmp/tmp.jBXpH9tbuG/E---3.1_6696.p',co1) ).
fof(ax2,axiom,
! [X1] :
( sorti2(X1)
=> ! [X2] :
( sorti2(X2)
=> sorti2(op2(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jBXpH9tbuG/E---3.1_6696.p',ax2) ).
fof(ax1,axiom,
! [X1] :
( sorti1(X1)
=> ! [X2] :
( sorti1(X2)
=> sorti1(op1(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jBXpH9tbuG/E---3.1_6696.p',ax1) ).
fof(ax4,axiom,
~ ? [X1] :
( sorti2(X1)
& ? [X2] :
( sorti2(X2)
& op2(X2,X1) != op2(X1,X2)
& op2(op2(X1,X2),X2) = X1
& op2(op2(X1,X2),X1) != X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jBXpH9tbuG/E---3.1_6696.p',ax4) ).
fof(ax3,axiom,
? [X1] :
( sorti1(X1)
& ? [X2] :
( sorti1(X2)
& op1(X2,X1) != op1(X1,X2)
& op1(op1(X1,X2),X2) = X1
& op1(op1(X1,X2),X1) != X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jBXpH9tbuG/E---3.1_6696.p',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,plain,
! [X11,X12] :
( ~ sorti2(X11)
| ~ sorti2(X12)
| sorti2(op2(X11,X12)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])])])]) ).
fof(c_0_7,negated_conjecture,
! [X17,X18,X19,X20,X21,X22,X23,X24] :
( ( ~ sorti1(X17)
| sorti2(h(X17)) )
& ( ~ sorti2(X18)
| sorti1(j(X18)) )
& ( ~ sorti1(X19)
| ~ sorti1(X20)
| h(op1(X19,X20)) = op2(h(X19),h(X20)) )
& ( ~ sorti2(X21)
| ~ sorti2(X22)
| j(op2(X21,X22)) = op1(j(X21),j(X22)) )
& ( ~ sorti2(X23)
| h(j(X23)) = X23 )
& ( ~ sorti1(X24)
| j(h(X24)) = X24 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X9,X10] :
( ~ sorti1(X9)
| ~ sorti1(X10)
| sorti1(op1(X9,X10)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])]) ).
cnf(c_0_9,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( h(op1(X1,X2)) = op2(h(X1),h(X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( sorti1(op1(X1,X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
( j(op2(X1,X2)) = op1(j(X1),j(X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,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_9,c_0_10]),c_0_11]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( sorti1(j(op2(X1,X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_18,plain,
~ ? [X1] :
( sorti2(X1)
& ? [X2] :
( sorti2(X2)
& op2(X2,X1) != op2(X1,X2)
& op2(op2(X1,X2),X2) = X1
& op2(op2(X1,X2),X1) != X2 ) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
cnf(c_0_19,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_15,c_0_13]),c_0_14]),c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( sorti1(j(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_10]),c_0_11]),c_0_11]) ).
cnf(c_0_21,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_10,c_0_17]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_23,plain,
! [X15,X16] :
( ~ sorti2(X15)
| ~ sorti2(X16)
| op2(X16,X15) = op2(X15,X16)
| op2(op2(X15,X16),X16) != X15
| op2(op2(X15,X16),X15) = X16 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_24,negated_conjecture,
( sorti2(h(j(h(op1(X1,X2)))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_10]),c_0_11]),c_0_11]) ).
cnf(c_0_25,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_10,c_0_17]),c_0_14]) ).
cnf(c_0_26,negated_conjecture,
( sorti1(j(op2(h(X1),X2)))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]) ).
cnf(c_0_27,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_13,c_0_22]),c_0_11]) ).
cnf(c_0_28,plain,
( op2(X2,X1) = op2(X1,X2)
| op2(op2(X1,X2),X1) = X2
| ~ sorti2(X1)
| ~ sorti2(X2)
| op2(op2(X1,X2),X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
? [X1] :
( sorti1(X1)
& ? [X2] :
( sorti1(X2)
& op1(X2,X1) != op1(X1,X2)
& op1(op1(X1,X2),X2) = X1
& op1(op1(X1,X2),X1) != X2 ) ),
inference(fof_simplification,[status(thm)],[ax3]) ).
cnf(c_0_30,negated_conjecture,
( sorti2(h(j(op2(X1,h(X2)))))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_14]) ).
cnf(c_0_31,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_13,c_0_22]),c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( sorti2(op2(h(X1),X2))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_21]),c_0_14]) ).
cnf(c_0_33,negated_conjecture,
( sorti1(op1(X1,j(X2)))
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( op2(h(op1(X1,X2)),h(X1)) = h(X2)
| op2(h(X2),h(X1)) = h(op1(X1,X2))
| op2(h(op1(X1,X2)),h(X2)) != h(X1)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_10]),c_0_11]),c_0_11]) ).
fof(c_0_35,plain,
( sorti1(esk1_0)
& sorti1(esk2_0)
& op1(esk2_0,esk1_0) != op1(esk1_0,esk2_0)
& op1(op1(esk1_0,esk2_0),esk2_0) = esk1_0
& op1(op1(esk1_0,esk2_0),esk1_0) != esk2_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_29])])]) ).
cnf(c_0_36,negated_conjecture,
( sorti2(h(op1(j(X1),X2)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( sorti2(op2(X1,h(X2)))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_14]) ).
cnf(c_0_38,negated_conjecture,
( sorti2(op2(op2(h(X1),X2),X3))
| ~ sorti2(X3)
| ~ sorti2(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( op2(h(X1),h(X2)) = h(op1(X2,X1))
| op2(h(op1(X2,X1)),h(X2)) = h(X1)
| h(op1(op1(X2,X1),X1)) != h(X2)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_10]),c_0_12]) ).
cnf(c_0_40,plain,
op1(op1(esk1_0,esk2_0),esk2_0) = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
sorti1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
sorti1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
( sorti2(h(op1(op1(j(X1),X2),X3)))
| ~ sorti2(X1)
| ~ sorti1(X3)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( sorti2(op2(h(op1(X1,X2)),X3))
| ~ sorti2(X3)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_10]),c_0_11]) ).
cnf(c_0_45,negated_conjecture,
( op2(h(op1(esk1_0,esk2_0)),h(esk1_0)) = h(esk2_0)
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_46,negated_conjecture,
( sorti2(h(op1(op1(X1,X2),X3)))
| ~ sorti1(X3)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_22]),c_0_11]) ).
cnf(c_0_47,negated_conjecture,
( op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| sorti2(h(esk2_0))
| ~ sorti2(h(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_42]),c_0_41])]) ).
cnf(c_0_48,negated_conjecture,
sorti2(h(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_49,negated_conjecture,
( sorti1(j(h(j(op2(X1,X2)))))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_13]),c_0_14]),c_0_14]) ).
cnf(c_0_50,negated_conjecture,
( op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_51,negated_conjecture,
( sorti1(j(h(j(h(op1(X1,X2))))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_10]),c_0_11]),c_0_11]) ).
cnf(c_0_52,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_50]),c_0_42]),c_0_41])]) ).
cnf(c_0_53,negated_conjecture,
( sorti2(h(esk2_0))
| sorti1(j(h(j(h(op1(esk2_0,esk1_0)))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_41]),c_0_42])]) ).
cnf(c_0_54,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_27,c_0_10]),c_0_11]) ).
cnf(c_0_55,negated_conjecture,
( sorti1(j(op2(X1,h(X2))))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_14]) ).
cnf(c_0_56,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_21,c_0_13]),c_0_14]) ).
cnf(c_0_57,negated_conjecture,
( sorti2(h(esk2_0))
| sorti1(j(h(op1(esk2_0,j(h(esk1_0)))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_41]),c_0_42])]) ).
cnf(c_0_58,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_31,c_0_10]),c_0_11]) ).
cnf(c_0_59,negated_conjecture,
( sorti1(op1(j(X1),X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
cnf(c_0_60,negated_conjecture,
( op2(h(j(h(X1))),h(X2)) = h(j(h(op1(X1,X2))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_10]),c_0_11]),c_0_11]) ).
cnf(c_0_61,negated_conjecture,
( sorti1(op1(j(h(esk2_0)),j(h(esk1_0))))
| ~ sorti1(j(h(esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_41])]),c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( h(j(h(op1(X1,X2)))) = op2(h(X1),h(X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_22]) ).
cnf(c_0_63,negated_conjecture,
sorti1(op1(j(h(esk2_0)),esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_22]),c_0_42])]) ).
cnf(c_0_64,negated_conjecture,
( sorti1(j(op2(h(X1),h(X2))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(j(h(esk1_0)),esk2_0)
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_52]),c_0_41]),c_0_42])]) ).
cnf(c_0_66,negated_conjecture,
sorti1(op1(esk2_0,esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_22]),c_0_41])]) ).
cnf(c_0_67,negated_conjecture,
( op1(j(h(op1(esk1_0,esk2_0))),esk2_0) = j(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_41])]) ).
cnf(c_0_68,negated_conjecture,
( op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| sorti1(j(h(esk2_0)))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_42])]) ).
cnf(c_0_69,negated_conjecture,
( op1(j(h(X1)),X2) = op1(X1,X2)
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_58]),c_0_12]) ).
cnf(c_0_70,negated_conjecture,
( op1(j(h(esk1_0)),esk2_0) = op1(esk2_0,esk1_0)
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_65]),c_0_66])]) ).
cnf(c_0_71,plain,
op1(esk2_0,esk1_0) != op1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_72,negated_conjecture,
( sorti1(op1(j(h(X1)),X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_58]) ).
cnf(c_0_73,negated_conjecture,
( j(h(esk1_0)) = esk1_0
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_22]),c_0_40]) ).
cnf(c_0_74,negated_conjecture,
( op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| sorti1(j(h(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_12]),c_0_41]),c_0_42])]) ).
cnf(c_0_75,negated_conjecture,
sorti2(h(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_41]),c_0_42])]),c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_42])]) ).
cnf(c_0_77,negated_conjecture,
( sorti1(j(h(op1(esk1_0,esk2_0))))
| sorti1(j(h(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_74]),c_0_48]),c_0_75])]) ).
cnf(c_0_78,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_12]),c_0_41]),c_0_42])]) ).
cnf(c_0_79,negated_conjecture,
sorti1(op1(esk1_0,j(h(esk2_0)))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_54]),c_0_42]),c_0_41])]),c_0_78]) ).
cnf(c_0_80,negated_conjecture,
sorti1(op1(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_22]),c_0_41])]) ).
cnf(c_0_81,negated_conjecture,
( op2(h(op1(esk1_0,esk2_0)),h(esk2_0)) = h(j(h(esk1_0)))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_40]),c_0_41])]) ).
cnf(c_0_82,negated_conjecture,
( h(op1(X1,op1(X2,j(X3)))) = op2(h(X1),op2(h(X2),X3))
| ~ sorti2(X3)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_21]),c_0_33]) ).
cnf(c_0_83,negated_conjecture,
( sorti1(op1(X1,op1(X2,j(X3))))
| ~ sorti2(X3)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_32]) ).
cnf(c_0_84,negated_conjecture,
j(h(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_80])]) ).
cnf(c_0_85,negated_conjecture,
( j(h(j(h(esk1_0)))) = op1(op1(esk1_0,esk2_0),j(h(esk2_0)))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_81]),c_0_75])]) ).
cnf(c_0_86,negated_conjecture,
( j(op2(h(X1),op2(h(X2),X3))) = op1(X1,op1(X2,j(X3)))
| ~ sorti2(X3)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_82]),c_0_83]) ).
cnf(c_0_87,negated_conjecture,
op2(h(op1(esk1_0,esk2_0)),h(esk2_0)) = h(esk1_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_80])]),c_0_84]) ).
cnf(c_0_88,negated_conjecture,
op1(op1(esk1_0,esk2_0),j(h(esk2_0))) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_80])]),c_0_84]),c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( j(op2(h(X1),h(esk1_0))) = op1(X1,esk1_0)
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_75]),c_0_80])]) ).
cnf(c_0_90,negated_conjecture,
( op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_45]),c_0_80])]) ).
cnf(c_0_91,negated_conjecture,
( j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_90]),c_0_42]),c_0_41])]) ).
cnf(c_0_92,plain,
op1(op1(esk1_0,esk2_0),esk1_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_93,negated_conjecture,
h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_91]),c_0_41])]),c_0_92]) ).
cnf(c_0_94,negated_conjecture,
j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_93]),c_0_80])]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_94]),c_0_66])]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG074+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:39:16 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.jBXpH9tbuG/E---3.1_6696.p
% 66.55/8.87 # Version: 3.1.0
% 66.55/8.87 # Preprocessing class: FSMSSMSSSSSNFFN.
% 66.55/8.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.55/8.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.55/8.87 # Starting new_bool_3 with 300s (1) cores
% 66.55/8.87 # Starting new_bool_1 with 300s (1) cores
% 66.55/8.87 # Starting sh5l with 300s (1) cores
% 66.55/8.87 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6774 completed with status 0
% 66.55/8.87 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 66.55/8.87 # Preprocessing class: FSMSSMSSSSSNFFN.
% 66.55/8.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.55/8.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.55/8.87 # No SInE strategy applied
% 66.55/8.87 # Search class: FGUSF-FFSS21-SFFFFFNN
% 66.55/8.87 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 66.55/8.87 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 66.55/8.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 66.55/8.87 # Starting new_bool_3 with 136s (1) cores
% 66.55/8.87 # Starting new_bool_1 with 136s (1) cores
% 66.55/8.87 # Starting sh5l with 136s (1) cores
% 66.55/8.87 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6780 completed with status 0
% 66.55/8.87 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 66.55/8.87 # Preprocessing class: FSMSSMSSSSSNFFN.
% 66.55/8.87 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 66.55/8.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 66.55/8.87 # No SInE strategy applied
% 66.55/8.87 # Search class: FGUSF-FFSS21-SFFFFFNN
% 66.55/8.87 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 66.55/8.87 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 66.55/8.87 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 66.55/8.87 # Preprocessing time : 0.001 s
% 66.55/8.87 # Presaturation interreduction done
% 66.55/8.87
% 66.55/8.87 # Proof found!
% 66.55/8.87 # SZS status Theorem
% 66.55/8.87 # SZS output start CNFRefutation
% See solution above
% 66.55/8.87 # Parsed axioms : 5
% 66.55/8.87 # Removed by relevancy pruning/SinE : 0
% 66.55/8.87 # Initial clauses : 14
% 66.55/8.87 # Removed in clause preprocessing : 0
% 66.55/8.87 # Initial clauses in saturation : 14
% 66.55/8.87 # Processed clauses : 14518
% 66.55/8.87 # ...of these trivial : 145
% 66.55/8.87 # ...subsumed : 12560
% 66.55/8.87 # ...remaining for further processing : 1813
% 66.55/8.87 # Other redundant clauses eliminated : 0
% 66.55/8.87 # Clauses deleted for lack of memory : 0
% 66.55/8.87 # Backward-subsumed : 83
% 66.55/8.87 # Backward-rewritten : 179
% 66.55/8.87 # Generated clauses : 367877
% 66.55/8.87 # ...of the previous two non-redundant : 362283
% 66.55/8.87 # ...aggressively subsumed : 0
% 66.55/8.87 # Contextual simplify-reflections : 1019
% 66.55/8.87 # Paramodulations : 367877
% 66.55/8.87 # Factorizations : 0
% 66.55/8.87 # NegExts : 0
% 66.55/8.87 # Equation resolutions : 0
% 66.55/8.87 # Disequality decompositions : 0
% 66.55/8.87 # Total rewrite steps : 95005
% 66.55/8.87 # ...of those cached : 94857
% 66.55/8.87 # Propositional unsat checks : 0
% 66.55/8.87 # Propositional check models : 0
% 66.55/8.87 # Propositional check unsatisfiable : 0
% 66.55/8.87 # Propositional clauses : 0
% 66.55/8.87 # Propositional clauses after purity: 0
% 66.55/8.87 # Propositional unsat core size : 0
% 66.55/8.87 # Propositional preprocessing time : 0.000
% 66.55/8.87 # Propositional encoding time : 0.000
% 66.55/8.87 # Propositional solver time : 0.000
% 66.55/8.87 # Success case prop preproc time : 0.000
% 66.55/8.87 # Success case prop encoding time : 0.000
% 66.55/8.87 # Success case prop solver time : 0.000
% 66.55/8.87 # Current number of processed clauses : 1537
% 66.55/8.87 # Positive orientable unit clauses : 156
% 66.55/8.87 # Positive unorientable unit clauses: 0
% 66.55/8.87 # Negative unit clauses : 2
% 66.55/8.87 # Non-unit-clauses : 1379
% 66.55/8.87 # Current number of unprocessed clauses: 345870
% 66.55/8.87 # ...number of literals in the above : 2536938
% 66.55/8.87 # Current number of archived formulas : 0
% 66.55/8.87 # Current number of archived clauses : 276
% 66.55/8.87 # Clause-clause subsumption calls (NU) : 523843
% 66.55/8.87 # Rec. Clause-clause subsumption calls : 137835
% 66.55/8.87 # Non-unit clause-clause subsumptions : 13647
% 66.55/8.87 # Unit Clause-clause subsumption calls : 344
% 66.55/8.87 # Rewrite failures with RHS unbound : 0
% 66.55/8.87 # BW rewrite match attempts : 4966
% 66.55/8.87 # BW rewrite match successes : 30
% 66.55/8.87 # Condensation attempts : 0
% 66.55/8.87 # Condensation successes : 0
% 66.55/8.87 # Termbank termtop insertions : 11143160
% 66.55/8.87 # Search garbage collected termcells : 362
% 66.55/8.87
% 66.55/8.87 # -------------------------------------------------
% 66.55/8.87 # User time : 7.980 s
% 66.55/8.87 # System time : 0.290 s
% 66.55/8.87 # Total time : 8.270 s
% 66.55/8.87 # Maximum resident set size: 1720 pages
% 66.55/8.87
% 66.55/8.87 # -------------------------------------------------
% 66.55/8.87 # User time : 40.537 s
% 66.55/8.87 # System time : 0.605 s
% 66.55/8.87 # Total time : 41.142 s
% 66.55/8.87 # Maximum resident set size: 1696 pages
% 66.55/8.87 % E---3.1 exiting
%------------------------------------------------------------------------------