TSTP Solution File: ALG074+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG074+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 03:47:16 EST 2010
% Result : Theorem 3.02s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 5
% Syntax : Number of formulae : 215 ( 15 unt; 0 def)
% Number of atoms : 775 ( 172 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 932 ( 372 ~; 499 |; 39 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 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 : 208 ( 0 sgn 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( sorti2(X1)
=> ! [X2] :
( sorti2(X2)
=> sorti2(op2(X1,X2)) ) ),
file('/tmp/tmpW7W0S3/sel_ALG074+1.p_1',ax2) ).
fof(2,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('/tmp/tmpW7W0S3/sel_ALG074+1.p_1',ax3) ).
fof(3,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('/tmp/tmpW7W0S3/sel_ALG074+1.p_1',co1) ).
fof(4,axiom,
! [X1] :
( sorti1(X1)
=> ! [X2] :
( sorti1(X2)
=> sorti1(op1(X1,X2)) ) ),
file('/tmp/tmpW7W0S3/sel_ALG074+1.p_1',ax1) ).
fof(5,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('/tmp/tmpW7W0S3/sel_ALG074+1.p_1',ax4) ).
fof(6,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)],[3]) ).
fof(7,plain,
! [X1] :
( ~ sorti2(X1)
| ! [X2] :
( ~ sorti2(X2)
| sorti2(op2(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(8,plain,
! [X3] :
( ~ sorti2(X3)
| ! [X4] :
( ~ sorti2(X4)
| sorti2(op2(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[7]) ).
fof(9,plain,
! [X3,X4] :
( ~ sorti2(X4)
| sorti2(op2(X3,X4))
| ~ sorti2(X3) ),
inference(shift_quantors,[status(thm)],[8]) ).
cnf(10,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(11,plain,
? [X3] :
( sorti1(X3)
& ? [X4] :
( sorti1(X4)
& op1(X4,X3) != op1(X3,X4)
& op1(op1(X3,X4),X4) = X3
& op1(op1(X3,X4),X3) != X4 ) ),
inference(variable_rename,[status(thm)],[2]) ).
fof(12,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(skolemize,[status(esa)],[11]) ).
cnf(13,plain,
op1(op1(esk1_0,esk2_0),esk1_0) != esk2_0,
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
op1(op1(esk1_0,esk2_0),esk2_0) = esk1_0,
inference(split_conjunct,[status(thm)],[12]) ).
cnf(15,plain,
op1(esk2_0,esk1_0) != op1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(16,plain,
sorti1(esk2_0),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(17,plain,
sorti1(esk1_0),
inference(split_conjunct,[status(thm)],[12]) ).
fof(18,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(fof_nnf,[status(thm)],[6]) ).
fof(19,negated_conjecture,
( ! [X9] :
( ~ sorti1(X9)
| sorti2(h(X9)) )
& ! [X10] :
( ~ sorti2(X10)
| sorti1(j(X10)) )
& ! [X11] :
( ~ sorti1(X11)
| ! [X12] :
( ~ sorti1(X12)
| h(op1(X11,X12)) = op2(h(X11),h(X12)) ) )
& ! [X13] :
( ~ sorti2(X13)
| ! [X14] :
( ~ sorti2(X14)
| j(op2(X13,X14)) = op1(j(X13),j(X14)) ) )
& ! [X15] :
( ~ sorti2(X15)
| h(j(X15)) = X15 )
& ! [X16] :
( ~ sorti1(X16)
| j(h(X16)) = X16 ) ),
inference(variable_rename,[status(thm)],[18]) ).
fof(20,negated_conjecture,
! [X9,X10,X11,X12,X13,X14,X15,X16] :
( ( ~ sorti1(X16)
| j(h(X16)) = X16 )
& ( ~ sorti2(X15)
| h(j(X15)) = X15 )
& ( ~ sorti2(X14)
| j(op2(X13,X14)) = op1(j(X13),j(X14))
| ~ sorti2(X13) )
& ( ~ sorti1(X12)
| h(op1(X11,X12)) = op2(h(X11),h(X12))
| ~ sorti1(X11) )
& ( ~ sorti2(X10)
| sorti1(j(X10)) )
& ( ~ sorti1(X9)
| sorti2(h(X9)) ) ),
inference(shift_quantors,[status(thm)],[19]) ).
cnf(21,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(23,negated_conjecture,
( h(op1(X1,X2)) = op2(h(X1),h(X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(24,negated_conjecture,
( j(op2(X1,X2)) = op1(j(X1),j(X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(25,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(26,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
inference(split_conjunct,[status(thm)],[20]) ).
fof(27,plain,
! [X1] :
( ~ sorti1(X1)
| ! [X2] :
( ~ sorti1(X2)
| sorti1(op1(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(28,plain,
! [X3] :
( ~ sorti1(X3)
| ! [X4] :
( ~ sorti1(X4)
| sorti1(op1(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[27]) ).
fof(29,plain,
! [X3,X4] :
( ~ sorti1(X4)
| sorti1(op1(X3,X4))
| ~ sorti1(X3) ),
inference(shift_quantors,[status(thm)],[28]) ).
cnf(30,plain,
( sorti1(op1(X1,X2))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,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_nnf,[status(thm)],[5]) ).
fof(32,plain,
! [X3] :
( ~ sorti2(X3)
| ! [X4] :
( ~ sorti2(X4)
| op2(X4,X3) = op2(X3,X4)
| op2(op2(X3,X4),X4) != X3
| op2(op2(X3,X4),X3) = X4 ) ),
inference(variable_rename,[status(thm)],[31]) ).
fof(33,plain,
! [X3,X4] :
( ~ sorti2(X4)
| op2(X4,X3) = op2(X3,X4)
| op2(op2(X3,X4),X4) != X3
| op2(op2(X3,X4),X3) = X4
| ~ sorti2(X3) ),
inference(shift_quantors,[status(thm)],[32]) ).
cnf(34,plain,
( op2(op2(X1,X2),X1) = X2
| op2(X2,X1) = op2(X1,X2)
| ~ sorti2(X1)
| op2(op2(X1,X2),X2) != X1
| ~ sorti2(X2) ),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(41,negated_conjecture,
( op2(X1,h(X2)) = h(op1(j(X1),X2))
| ~ sorti1(X2)
| ~ sorti1(j(X1))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[23,25,theory(equality)]) ).
cnf(42,negated_conjecture,
( op2(h(X1),X2) = h(op1(X1,j(X2)))
| ~ sorti1(j(X2))
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[23,25,theory(equality)]) ).
cnf(43,negated_conjecture,
( sorti2(h(op1(X1,X2)))
| ~ sorti2(h(X2))
| ~ sorti2(h(X1))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[10,23,theory(equality)]) ).
cnf(44,negated_conjecture,
( op1(X1,j(X2)) = j(op2(h(X1),X2))
| ~ sorti2(X2)
| ~ sorti2(h(X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[24,26,theory(equality)]) ).
cnf(45,negated_conjecture,
( op1(j(X1),X2) = j(op2(X1,h(X2)))
| ~ sorti2(h(X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[24,26,theory(equality)]) ).
cnf(46,negated_conjecture,
( sorti1(j(op2(X1,X2)))
| ~ sorti1(j(X2))
| ~ sorti1(j(X1))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[30,24,theory(equality)]) ).
cnf(47,negated_conjecture,
( op2(h(op1(X1,X2)),h(X1)) = h(X2)
| h(op1(X1,X2)) = op2(h(X2),h(X1))
| op2(h(op1(X1,X2)),h(X2)) != h(X1)
| ~ sorti2(h(X2))
| ~ sorti2(h(X1))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[34,23,theory(equality)]) ).
cnf(48,negated_conjecture,
( sorti2(h(op1(X1,X2)))
| ~ sorti1(X2)
| ~ sorti1(X1)
| ~ sorti2(h(X2)) ),
inference(csr,[status(thm)],[43,21]) ).
cnf(49,negated_conjecture,
( sorti2(h(op1(X1,X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[48,21]) ).
cnf(50,negated_conjecture,
( sorti2(h(esk1_0))
| ~ sorti1(esk2_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[49,14,theory(equality)]) ).
cnf(51,negated_conjecture,
( sorti2(h(j(op2(X1,X2))))
| ~ sorti1(j(X2))
| ~ sorti1(j(X1))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[49,24,theory(equality)]) ).
cnf(52,negated_conjecture,
( sorti2(h(esk1_0))
| $false
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[50,16,theory(equality)]) ).
cnf(53,negated_conjecture,
( sorti2(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[52,theory(equality)]) ).
cnf(54,negated_conjecture,
( sorti1(j(op2(X1,X2)))
| ~ sorti1(j(X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[46,22]) ).
cnf(55,negated_conjecture,
( sorti1(j(op2(X1,X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[54,22]) ).
cnf(56,negated_conjecture,
( sorti1(j(h(op1(X1,X2))))
| ~ sorti2(h(X2))
| ~ sorti2(h(X1))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[55,23,theory(equality)]) ).
cnf(57,negated_conjecture,
( h(op1(j(X1),X2)) = op2(X1,h(X2))
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[41,22]) ).
cnf(63,negated_conjecture,
( h(j(op2(X1,X2))) = op2(X1,h(j(X2)))
| ~ sorti1(j(X2))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[57,24,theory(equality)]) ).
cnf(64,negated_conjecture,
( sorti2(op2(X1,h(X2)))
| ~ sorti1(X2)
| ~ sorti1(j(X1))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[49,57,theory(equality)]) ).
cnf(65,negated_conjecture,
( sorti2(op2(X1,h(X2)))
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[64,22]) ).
cnf(72,negated_conjecture,
( h(op1(X1,j(X2))) = op2(h(X1),X2)
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[42,22]) ).
cnf(78,negated_conjecture,
( h(j(op2(X1,X2))) = op2(h(j(X1)),X2)
| ~ sorti1(j(X1))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[72,24,theory(equality)]) ).
cnf(89,negated_conjecture,
( j(op2(h(X1),X2)) = op1(X1,j(X2))
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[44,21]) ).
cnf(93,negated_conjecture,
( j(h(op1(X1,X2))) = op1(X1,j(h(X2)))
| ~ sorti1(X1)
| ~ sorti2(h(X2))
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[89,23,theory(equality)]) ).
cnf(109,negated_conjecture,
( j(op2(X1,h(X2))) = op1(j(X1),X2)
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[45,21]) ).
cnf(113,negated_conjecture,
( j(h(op1(X1,X2))) = op1(j(h(X1)),X2)
| ~ sorti1(X2)
| ~ sorti2(h(X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[109,23,theory(equality)]) ).
cnf(116,negated_conjecture,
( sorti1(op1(j(X1),X2))
| ~ sorti2(h(X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[55,109,theory(equality)]) ).
cnf(123,negated_conjecture,
( sorti1(op1(j(X1),X2))
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[116,21]) ).
cnf(129,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)
| ~ sorti2(h(X2)) ),
inference(csr,[status(thm)],[47,21]) ).
cnf(130,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)],[129,21]) ).
cnf(133,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)
| ~ sorti1(op1(X2,X1)) ),
inference(spm,[status(thm)],[130,23,theory(equality)]) ).
cnf(147,negated_conjecture,
( h(j(op2(X1,X2))) = op2(X1,h(j(X2)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[63,22]) ).
cnf(168,negated_conjecture,
( sorti2(h(j(op2(X1,X2))))
| ~ sorti1(j(X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[51,22]) ).
cnf(169,negated_conjecture,
( sorti2(h(j(op2(X1,X2))))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[168,22]) ).
cnf(173,negated_conjecture,
( sorti2(h(op1(j(X1),X2)))
| ~ sorti2(h(X2))
| ~ sorti2(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[169,109,theory(equality)]) ).
cnf(184,negated_conjecture,
( sorti2(h(op1(j(X1),X2)))
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[173,21]) ).
cnf(191,negated_conjecture,
( sorti1(j(h(op1(X1,X2))))
| ~ sorti1(X2)
| ~ sorti1(X1)
| ~ sorti2(h(X2)) ),
inference(csr,[status(thm)],[56,21]) ).
cnf(192,negated_conjecture,
( sorti1(j(h(op1(X1,X2))))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[191,21]) ).
cnf(196,negated_conjecture,
( sorti1(j(op2(X1,h(X2))))
| ~ sorti1(X2)
| ~ sorti1(j(X1))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[192,57,theory(equality)]) ).
cnf(197,negated_conjecture,
( sorti1(j(op2(h(X1),X2)))
| ~ sorti1(j(X2))
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[192,72,theory(equality)]) ).
cnf(207,negated_conjecture,
( sorti1(j(op2(X1,h(X2))))
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[196,22]) ).
cnf(216,negated_conjecture,
( sorti1(j(op2(h(X1),X2)))
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[197,22]) ).
cnf(228,negated_conjecture,
( h(j(op2(X1,X2))) = op2(h(j(X1)),X2)
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[78,22]) ).
cnf(242,negated_conjecture,
( op2(h(j(X1)),X2) = op2(X1,h(j(X2)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[147,228,theory(equality)]) ).
cnf(276,negated_conjecture,
( op2(X1,X2) = op2(X1,h(j(X2)))
| ~ sorti2(X1)
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[242,25,theory(equality)]) ).
cnf(293,negated_conjecture,
( sorti1(j(op2(X1,h(j(X2)))))
| ~ sorti1(j(X1))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[216,242,theory(equality)]) ).
cnf(304,negated_conjecture,
( j(op2(h(X1),X2)) = op1(X1,j(h(j(X2))))
| ~ sorti1(X1)
| ~ sorti2(h(j(X2)))
| ~ sorti2(h(X1))
| ~ sorti2(X2) ),
inference(spm,[status(thm)],[89,276,theory(equality)]) ).
cnf(347,negated_conjecture,
( sorti1(j(op2(X1,h(j(X2)))))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[293,22]) ).
cnf(354,negated_conjecture,
( sorti1(op1(j(X1),j(X2)))
| ~ sorti2(X2)
| ~ sorti2(X1)
| ~ sorti1(j(X2)) ),
inference(spm,[status(thm)],[347,109,theory(equality)]) ).
cnf(360,negated_conjecture,
( sorti1(op1(j(X1),j(X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[354,22]) ).
cnf(403,negated_conjecture,
( j(h(op1(X1,X2))) = op1(X1,j(h(X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[93,21]) ).
cnf(404,negated_conjecture,
( j(h(esk1_0)) = op1(op1(esk1_0,esk2_0),j(h(esk2_0)))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[403,14,theory(equality)]) ).
cnf(432,negated_conjecture,
( j(h(esk1_0)) = op1(op1(esk1_0,esk2_0),j(h(esk2_0)))
| ~ sorti1(op1(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[404,16,theory(equality)]) ).
cnf(433,negated_conjecture,
( j(h(esk1_0)) = op1(op1(esk1_0,esk2_0),j(h(esk2_0)))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[432,theory(equality)]) ).
cnf(445,negated_conjecture,
( op1(op1(esk1_0,esk2_0),esk2_0) = j(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[433,26,theory(equality)]) ).
cnf(455,negated_conjecture,
( esk1_0 = j(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(esk2_0) ),
inference(rw,[status(thm)],[445,14,theory(equality)]) ).
cnf(456,negated_conjecture,
( esk1_0 = j(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[455,16,theory(equality)]) ).
cnf(457,negated_conjecture,
( esk1_0 = j(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[456,theory(equality)]) ).
cnf(476,negated_conjecture,
( sorti1(op1(esk1_0,j(X1)))
| ~ sorti2(X1)
| ~ sorti2(h(esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[360,457,theory(equality)]) ).
cnf(477,negated_conjecture,
( sorti1(op1(j(X1),esk1_0))
| ~ sorti2(h(esk1_0))
| ~ sorti2(X1)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[360,457,theory(equality)]) ).
cnf(599,negated_conjecture,
( sorti1(op1(esk1_0,j(X1)))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[476,53]) ).
cnf(600,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti2(h(X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[599,26,theory(equality)]) ).
cnf(606,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[600,21]) ).
cnf(607,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(X1)
| ~ sorti1(esk2_0)
| ~ sorti1(esk1_0) ),
inference(spm,[status(thm)],[606,30,theory(equality)]) ).
cnf(608,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(X1)
| $false
| ~ sorti1(esk1_0) ),
inference(rw,[status(thm)],[607,16,theory(equality)]) ).
cnf(609,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(X1)
| $false
| $false ),
inference(rw,[status(thm)],[608,17,theory(equality)]) ).
cnf(610,negated_conjecture,
( sorti1(op1(esk1_0,X1))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[609,theory(equality)]) ).
cnf(627,negated_conjecture,
( sorti1(op1(j(X1),esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[477,53]) ).
cnf(669,negated_conjecture,
( j(h(op1(X1,X2))) = op1(j(h(X1)),X2)
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[113,21]) ).
cnf(698,negated_conjecture,
( op1(j(h(X1)),X2) = op1(X1,j(h(X2)))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(spm,[status(thm)],[403,669,theory(equality)]) ).
cnf(756,negated_conjecture,
( sorti2(h(op1(X1,j(h(X2)))))
| ~ sorti1(X2)
| ~ sorti2(h(X1))
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[184,698,theory(equality)]) ).
cnf(1188,negated_conjecture,
( sorti2(h(op1(X1,j(h(X2)))))
| ~ sorti1(X1)
| ~ sorti1(X2) ),
inference(csr,[status(thm)],[756,21]) ).
cnf(1195,negated_conjecture,
( sorti2(op2(h(X1),h(X2)))
| ~ sorti1(X2)
| ~ sorti1(X1)
| ~ sorti2(h(X2)) ),
inference(spm,[status(thm)],[1188,72,theory(equality)]) ).
cnf(1219,negated_conjecture,
( sorti2(op2(h(X1),h(X2)))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[1195,21]) ).
cnf(1920,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)],[133,30]) ).
cnf(1922,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))
| ~ sorti1(esk2_0)
| ~ sorti1(esk1_0) ),
inference(spm,[status(thm)],[1920,14,theory(equality)]) ).
cnf(1941,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))
| $false
| ~ sorti1(esk1_0) ),
inference(rw,[status(thm)],[1922,16,theory(equality)]) ).
cnf(1942,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))
| $false
| $false ),
inference(rw,[status(thm)],[1941,17,theory(equality)]) ).
cnf(1943,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)],[1942,theory(equality)]) ).
cnf(1958,negated_conjecture,
( sorti2(h(esk2_0))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[65,1943,theory(equality)]) ).
cnf(1964,negated_conjecture,
( sorti1(j(h(esk2_0)))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[207,1943,theory(equality)]) ).
cnf(1976,negated_conjecture,
( sorti2(h(esk2_0))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[1219,1943,theory(equality)]) ).
cnf(1981,negated_conjecture,
( sorti2(h(esk2_0))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| $false
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[1958,17,theory(equality)]) ).
cnf(1982,negated_conjecture,
( sorti2(h(esk2_0))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[1981,theory(equality)]) ).
cnf(1985,negated_conjecture,
( sorti1(j(h(esk2_0)))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| $false
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[1964,17,theory(equality)]) ).
cnf(1986,negated_conjecture,
( sorti1(j(h(esk2_0)))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[1985,theory(equality)]) ).
cnf(1993,negated_conjecture,
( sorti2(h(esk2_0))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| $false
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[1976,17,theory(equality)]) ).
cnf(1994,negated_conjecture,
( sorti2(h(esk2_0))
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[1993,theory(equality)]) ).
cnf(1998,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[23,1994,theory(equality)]) ).
cnf(2022,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| $false
| ~ sorti1(esk2_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[1998,17,theory(equality)]) ).
cnf(2023,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| $false
| $false
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[2022,16,theory(equality)]) ).
cnf(2024,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[2023,theory(equality)]) ).
cnf(2058,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,esk2_0)
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[26,2024,theory(equality)]) ).
cnf(2068,negated_conjecture,
( sorti1(j(h(op1(esk2_0,esk1_0))))
| sorti2(h(esk2_0))
| ~ sorti1(esk2_0)
| ~ sorti1(esk1_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[192,2024,theory(equality)]) ).
cnf(2103,negated_conjecture,
( sorti1(j(h(op1(esk2_0,esk1_0))))
| sorti2(h(esk2_0))
| $false
| ~ sorti1(esk1_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[2068,16,theory(equality)]) ).
cnf(2104,negated_conjecture,
( sorti1(j(h(op1(esk2_0,esk1_0))))
| sorti2(h(esk2_0))
| $false
| $false
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[2103,17,theory(equality)]) ).
cnf(2105,negated_conjecture,
( sorti1(j(h(op1(esk2_0,esk1_0))))
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[2104,theory(equality)]) ).
cnf(2118,negated_conjecture,
( sorti1(op1(j(h(esk2_0)),esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[2105,669,theory(equality)]) ).
cnf(2122,negated_conjecture,
( sorti1(op1(j(h(esk2_0)),esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| $false
| ~ sorti1(esk2_0) ),
inference(rw,[status(thm)],[2118,17,theory(equality)]) ).
cnf(2123,negated_conjecture,
( sorti1(op1(j(h(esk2_0)),esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[2122,16,theory(equality)]) ).
cnf(2124,negated_conjecture,
( sorti1(op1(j(h(esk2_0)),esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[2123,theory(equality)]) ).
cnf(2168,negated_conjecture,
( sorti1(op1(j(h(esk2_0)),esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(csr,[status(thm)],[2124,627]) ).
cnf(2169,negated_conjecture,
( sorti1(op1(esk2_0,esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[2168,26,theory(equality)]) ).
cnf(2172,negated_conjecture,
( sorti1(op1(esk2_0,esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[2169,16,theory(equality)]) ).
cnf(2173,negated_conjecture,
( sorti1(op1(esk2_0,esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[2172,theory(equality)]) ).
cnf(2180,negated_conjecture,
( sorti1(op1(esk2_0,esk1_0))
| ~ sorti1(esk2_0)
| ~ sorti1(esk1_0) ),
inference(spm,[status(thm)],[2173,30,theory(equality)]) ).
cnf(2182,negated_conjecture,
( sorti1(op1(esk2_0,esk1_0))
| $false
| ~ sorti1(esk1_0) ),
inference(rw,[status(thm)],[2180,16,theory(equality)]) ).
cnf(2183,negated_conjecture,
( sorti1(op1(esk2_0,esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[2182,17,theory(equality)]) ).
cnf(2184,negated_conjecture,
sorti1(op1(esk2_0,esk1_0)),
inference(cn,[status(thm)],[2183,theory(equality)]) ).
cnf(2225,negated_conjecture,
( op1(esk1_0,esk2_0) = op1(esk2_0,esk1_0)
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk2_0,esk1_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[26,2058,theory(equality)]) ).
cnf(2269,negated_conjecture,
( op1(esk1_0,esk2_0) = op1(esk2_0,esk1_0)
| sorti2(h(esk2_0))
| $false
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(rw,[status(thm)],[2225,2184,theory(equality)]) ).
cnf(2270,negated_conjecture,
( op1(esk1_0,esk2_0) = op1(esk2_0,esk1_0)
| sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[2269,theory(equality)]) ).
cnf(2271,negated_conjecture,
( sorti2(h(esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[2270,15,theory(equality)]) ).
cnf(2302,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0)
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[23,1982,theory(equality)]) ).
cnf(2328,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| $false
| ~ sorti1(esk2_0)
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2302,17,theory(equality)]) ).
cnf(2329,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| $false
| $false
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2328,16,theory(equality)]) ).
cnf(2330,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[2329,theory(equality)]) ).
cnf(2365,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| ~ sorti1(esk2_0)
| ~ sorti1(esk1_0) ),
inference(spm,[status(thm)],[2330,49,theory(equality)]) ).
cnf(2367,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| $false
| ~ sorti1(esk1_0) ),
inference(rw,[status(thm)],[2365,16,theory(equality)]) ).
cnf(2368,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[2367,17,theory(equality)]) ).
cnf(2369,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[2368,theory(equality)]) ).
cnf(2387,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,j(h(esk2_0)))
| sorti2(h(esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[403,2369,theory(equality)]) ).
cnf(2422,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,j(h(esk2_0)))
| sorti2(h(esk2_0))
| $false
| ~ sorti1(esk2_0) ),
inference(rw,[status(thm)],[2387,17,theory(equality)]) ).
cnf(2423,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,j(h(esk2_0)))
| sorti2(h(esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[2422,16,theory(equality)]) ).
cnf(2424,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,j(h(esk2_0)))
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[2423,theory(equality)]) ).
cnf(2526,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti2(h(esk2_0))
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[192,2424,theory(equality)]) ).
cnf(2563,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti2(h(esk2_0))
| $false
| ~ sorti1(esk2_0) ),
inference(rw,[status(thm)],[2526,17,theory(equality)]) ).
cnf(2564,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti2(h(esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[2563,16,theory(equality)]) ).
cnf(2565,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[2564,theory(equality)]) ).
cnf(2592,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| sorti2(h(esk2_0))
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[2565,26,theory(equality)]) ).
cnf(2595,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| sorti2(h(esk2_0))
| $false ),
inference(rw,[status(thm)],[2592,16,theory(equality)]) ).
cnf(2596,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| sorti2(h(esk2_0)) ),
inference(cn,[status(thm)],[2595,theory(equality)]) ).
cnf(2602,negated_conjecture,
sorti2(h(esk2_0)),
inference(csr,[status(thm)],[2596,2271]) ).
cnf(2686,negated_conjecture,
( j(h(op1(esk1_0,esk2_0))) = op1(j(h(esk2_0)),esk1_0)
| sorti1(j(h(esk2_0)))
| ~ sorti1(esk1_0)
| ~ sorti2(h(esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[109,1986,theory(equality)]) ).
cnf(2724,negated_conjecture,
( j(h(op1(esk1_0,esk2_0))) = op1(j(h(esk2_0)),esk1_0)
| sorti1(j(h(esk2_0)))
| $false
| ~ sorti2(h(esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2686,17,theory(equality)]) ).
cnf(2725,negated_conjecture,
( j(h(op1(esk1_0,esk2_0))) = op1(j(h(esk2_0)),esk1_0)
| sorti1(j(h(esk2_0)))
| $false
| $false
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2724,2602,theory(equality)]) ).
cnf(2726,negated_conjecture,
( j(h(op1(esk1_0,esk2_0))) = op1(j(h(esk2_0)),esk1_0)
| sorti1(j(h(esk2_0)))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[2725,theory(equality)]) ).
cnf(2800,negated_conjecture,
( op1(j(h(esk2_0)),esk1_0) = op1(esk1_0,j(h(esk2_0)))
| sorti1(j(h(esk2_0)))
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0)
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[403,2726,theory(equality)]) ).
cnf(2829,negated_conjecture,
( op1(j(h(esk2_0)),esk1_0) = op1(esk1_0,j(h(esk2_0)))
| sorti1(j(h(esk2_0)))
| $false
| ~ sorti1(esk2_0)
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2800,17,theory(equality)]) ).
cnf(2830,negated_conjecture,
( op1(j(h(esk2_0)),esk1_0) = op1(esk1_0,j(h(esk2_0)))
| sorti1(j(h(esk2_0)))
| $false
| $false
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2829,16,theory(equality)]) ).
cnf(2831,negated_conjecture,
( op1(j(h(esk2_0)),esk1_0) = op1(esk1_0,j(h(esk2_0)))
| sorti1(j(h(esk2_0)))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[2830,theory(equality)]) ).
cnf(2920,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti1(j(h(esk2_0)))
| ~ sorti1(esk1_0)
| ~ sorti2(h(esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[123,2831,theory(equality)]) ).
cnf(2954,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti1(j(h(esk2_0)))
| $false
| ~ sorti2(h(esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2920,17,theory(equality)]) ).
cnf(2955,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti1(j(h(esk2_0)))
| $false
| $false
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(rw,[status(thm)],[2954,2602,theory(equality)]) ).
cnf(2956,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| sorti1(j(h(esk2_0)))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[2955,theory(equality)]) ).
cnf(3002,negated_conjecture,
( sorti1(op1(esk1_0,j(h(esk2_0))))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(csr,[status(thm)],[2956,610]) ).
cnf(3003,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0)))
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[3002,26,theory(equality)]) ).
cnf(3006,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0)))
| $false ),
inference(rw,[status(thm)],[3003,16,theory(equality)]) ).
cnf(3007,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| ~ sorti2(h(op1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[3006,theory(equality)]) ).
cnf(3014,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| ~ sorti1(esk2_0)
| ~ sorti1(esk1_0) ),
inference(spm,[status(thm)],[3007,49,theory(equality)]) ).
cnf(3016,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| $false
| ~ sorti1(esk1_0) ),
inference(rw,[status(thm)],[3014,16,theory(equality)]) ).
cnf(3017,negated_conjecture,
( sorti1(op1(esk1_0,esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[3016,17,theory(equality)]) ).
cnf(3018,negated_conjecture,
sorti1(op1(esk1_0,esk2_0)),
inference(cn,[status(thm)],[3017,theory(equality)]) ).
cnf(3076,negated_conjecture,
( j(h(esk1_0)) = esk1_0
| $false ),
inference(rw,[status(thm)],[457,3018,theory(equality)]) ).
cnf(3077,negated_conjecture,
j(h(esk1_0)) = esk1_0,
inference(cn,[status(thm)],[3076,theory(equality)]) ).
cnf(3082,negated_conjecture,
( sorti2(h(esk1_0))
| $false ),
inference(rw,[status(thm)],[53,3018,theory(equality)]) ).
cnf(3083,negated_conjecture,
sorti2(h(esk1_0)),
inference(cn,[status(thm)],[3082,theory(equality)]) ).
cnf(18980,negated_conjecture,
( op1(X1,j(h(j(X2)))) = j(op2(h(X1),X2))
| ~ sorti1(X1)
| ~ sorti2(h(j(X2)))
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[304,21]) ).
cnf(18981,negated_conjecture,
( op1(X1,j(h(esk1_0))) = j(op2(h(X1),h(esk1_0)))
| ~ sorti1(X1)
| ~ sorti2(h(esk1_0)) ),
inference(spm,[status(thm)],[18980,3077,theory(equality)]) ).
cnf(19117,negated_conjecture,
( op1(X1,esk1_0) = j(op2(h(X1),h(esk1_0)))
| ~ sorti1(X1)
| ~ sorti2(h(esk1_0)) ),
inference(rw,[status(thm)],[18981,3077,theory(equality)]) ).
cnf(19118,negated_conjecture,
( op1(X1,esk1_0) = j(op2(h(X1),h(esk1_0)))
| ~ sorti1(X1)
| $false ),
inference(rw,[status(thm)],[19117,3083,theory(equality)]) ).
cnf(19119,negated_conjecture,
( op1(X1,esk1_0) = j(op2(h(X1),h(esk1_0)))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[19118,theory(equality)]) ).
cnf(19243,negated_conjecture,
( j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[19119,1943,theory(equality)]) ).
cnf(19383,negated_conjecture,
( j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0))
| $false ),
inference(rw,[status(thm)],[19243,3018,theory(equality)]) ).
cnf(19384,negated_conjecture,
( j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| op2(h(esk2_0),h(esk1_0)) = h(op1(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[19383,theory(equality)]) ).
cnf(54961,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| ~ sorti1(esk1_0)
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[23,19384,theory(equality)]) ).
cnf(55091,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| $false
| ~ sorti1(esk2_0) ),
inference(rw,[status(thm)],[54961,17,theory(equality)]) ).
cnf(55092,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[55091,16,theory(equality)]) ).
cnf(55093,negated_conjecture,
( h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| j(h(esk2_0)) = op1(op1(esk1_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[55092,theory(equality)]) ).
cnf(56030,negated_conjecture,
( op1(op1(esk1_0,esk2_0),esk1_0) = esk2_0
| h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| ~ sorti1(esk2_0) ),
inference(spm,[status(thm)],[26,55093,theory(equality)]) ).
cnf(56280,negated_conjecture,
( op1(op1(esk1_0,esk2_0),esk1_0) = esk2_0
| h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0))
| $false ),
inference(rw,[status(thm)],[56030,16,theory(equality)]) ).
cnf(56281,negated_conjecture,
( op1(op1(esk1_0,esk2_0),esk1_0) = esk2_0
| h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0)) ),
inference(cn,[status(thm)],[56280,theory(equality)]) ).
cnf(56282,negated_conjecture,
h(op1(esk1_0,esk2_0)) = h(op1(esk2_0,esk1_0)),
inference(sr,[status(thm)],[56281,13,theory(equality)]) ).
cnf(56766,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,esk2_0)
| ~ sorti1(op1(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[26,56282,theory(equality)]) ).
cnf(57055,negated_conjecture,
( j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[56766,3018,theory(equality)]) ).
cnf(57056,negated_conjecture,
j(h(op1(esk2_0,esk1_0))) = op1(esk1_0,esk2_0),
inference(cn,[status(thm)],[57055,theory(equality)]) ).
cnf(62025,negated_conjecture,
( op1(esk1_0,esk2_0) = op1(esk2_0,esk1_0)
| ~ sorti1(op1(esk2_0,esk1_0)) ),
inference(spm,[status(thm)],[26,57056,theory(equality)]) ).
cnf(62291,negated_conjecture,
( op1(esk1_0,esk2_0) = op1(esk2_0,esk1_0)
| $false ),
inference(rw,[status(thm)],[62025,2184,theory(equality)]) ).
cnf(62292,negated_conjecture,
op1(esk1_0,esk2_0) = op1(esk2_0,esk1_0),
inference(cn,[status(thm)],[62291,theory(equality)]) ).
cnf(62293,negated_conjecture,
$false,
inference(sr,[status(thm)],[62292,15,theory(equality)]) ).
cnf(62294,negated_conjecture,
$false,
62293,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG074+1.p
% --creating new selector for []
% -running prover on /tmp/tmpW7W0S3/sel_ALG074+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG074+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG074+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG074+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------