%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM022+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 05:49:12 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 90 ( 12 unt; 0 def)
% Number of atoms : 590 ( 75 equ)
% Maximal formula atoms : 41 ( 6 avg)
% Number of connectives : 744 ( 244 ~; 362 |; 128 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 74 ( 0 sgn 40 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aNormalFormOfIn0(X4,X3,xR)
& sdtmndtasgtdt0(xb,xR,X4)
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sdtmndtasgtdt0(xc,xR,X1) ) ) ),
file('/tmp/tmpDiP4kq/sel_COM022+1.p_1',m__) ).
fof(4,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('/tmp/tmpDiP4kq/sel_COM022+1.p_1',mNFRDef) ).
fof(7,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/tmp/tmpDiP4kq/sel_COM022+1.p_1',m__731) ).
fof(14,axiom,
aRewritingSystem0(xR),
file('/tmp/tmpDiP4kq/sel_COM022+1.p_1',m__656) ).
fof(18,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/tmp/tmpDiP4kq/sel_COM022+1.p_1',mTCRDef) ).
fof(20,negated_conjecture,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aNormalFormOfIn0(X4,X3,xR)
& sdtmndtasgtdt0(xb,xR,X4)
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sdtmndtasgtdt0(xc,xR,X1) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(21,negated_conjecture,
( ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aNormalFormOfIn0(X4,X3,xR)
& sdtmndtasgtdt0(xb,xR,X4)
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X1] :
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xc,xR,X1) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(22,negated_conjecture,
( ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xa,xR)
& sdtmndtasgtdt0(X5,xR,xb)
& ? [X6] :
( aElement0(X6)
& aReductOfIn0(X6,xa,xR)
& sdtmndtasgtdt0(X6,xR,xc)
& ? [X7] :
( aElement0(X7)
& sdtmndtasgtdt0(X5,xR,X7)
& sdtmndtasgtdt0(X6,xR,X7)
& ? [X8] :
( aNormalFormOfIn0(X8,X7,xR)
& sdtmndtasgtdt0(xb,xR,X8)
& sdtmndtasgtdt0(xc,xR,X8) ) ) ) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X9] :
( ~ aElement0(X9)
| ~ sdtmndtasgtdt0(xb,xR,X9)
| ~ sdtmndtasgtdt0(xc,xR,X9) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,negated_conjecture,
( ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ( aElement0(esk1_0)
& aReductOfIn0(esk1_0,xa,xR)
& sdtmndtasgtdt0(esk1_0,xR,xb)
& aElement0(esk2_0)
& aReductOfIn0(esk2_0,xa,xR)
& sdtmndtasgtdt0(esk2_0,xR,xc)
& aElement0(esk3_0)
& sdtmndtasgtdt0(esk1_0,xR,esk3_0)
& sdtmndtasgtdt0(esk2_0,xR,esk3_0)
& aNormalFormOfIn0(esk4_0,esk3_0,xR)
& sdtmndtasgtdt0(xb,xR,esk4_0)
& sdtmndtasgtdt0(xc,xR,esk4_0) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ! [X9] :
( ~ aElement0(X9)
| ~ sdtmndtasgtdt0(xb,xR,X9)
| ~ sdtmndtasgtdt0(xc,xR,X9) ) ),
inference(skolemize,[status(esa)],[22]) ).
fof(24,negated_conjecture,
! [X9] :
( ( ~ aElement0(X9)
| ~ sdtmndtasgtdt0(xb,xR,X9)
| ~ sdtmndtasgtdt0(xc,xR,X9) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ( aElement0(esk1_0)
& aReductOfIn0(esk1_0,xa,xR)
& sdtmndtasgtdt0(esk1_0,xR,xb)
& aElement0(esk2_0)
& aReductOfIn0(esk2_0,xa,xR)
& sdtmndtasgtdt0(esk2_0,xR,xc)
& aElement0(esk3_0)
& sdtmndtasgtdt0(esk1_0,xR,esk3_0)
& sdtmndtasgtdt0(esk2_0,xR,esk3_0)
& aNormalFormOfIn0(esk4_0,esk3_0,xR)
& sdtmndtasgtdt0(xb,xR,esk4_0)
& sdtmndtasgtdt0(xc,xR,esk4_0) ) ) ),
inference(shift_quantors,[status(thm)],[23]) ).
fof(25,negated_conjecture,
! [X9] :
( ( ~ aElement0(X9)
| ~ sdtmndtasgtdt0(xb,xR,X9)
| ~ sdtmndtasgtdt0(xc,xR,X9) )
& sdtmndtasgtdt0(xa,xR,xb)
& sdtmndtasgtdt0(xa,xR,xc)
& ( aElement0(esk1_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( aReductOfIn0(esk1_0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( sdtmndtasgtdt0(esk1_0,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( aElement0(esk2_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( aReductOfIn0(esk2_0,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( sdtmndtasgtdt0(esk2_0,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( aElement0(esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( sdtmndtasgtdt0(esk1_0,xR,esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( sdtmndtasgtdt0(esk2_0,xR,esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( aNormalFormOfIn0(esk4_0,esk3_0,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( sdtmndtasgtdt0(xb,xR,esk4_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) )
& ( sdtmndtasgtdt0(xc,xR,esk4_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ) ),
inference(distribute,[status(thm)],[24]) ).
cnf(26,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(27,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(28,negated_conjecture,
( aNormalFormOfIn0(esk4_0,esk3_0,xR)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(31,negated_conjecture,
( aElement0(esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(38,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(39,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(40,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(51,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ! [X3] :
( ( ~ aNormalFormOfIn0(X3,X1,X2)
| ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ! [X4] : ~ aReductOfIn0(X4,X3,X2) ) )
& ( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ? [X4] : aReductOfIn0(X4,X3,X2)
| aNormalFormOfIn0(X3,X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(52,plain,
! [X5,X6] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ! [X7] :
( ( ~ aNormalFormOfIn0(X7,X5,X6)
| ( aElement0(X7)
& sdtmndtasgtdt0(X5,X6,X7)
& ! [X8] : ~ aReductOfIn0(X8,X7,X6) ) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| ? [X9] : aReductOfIn0(X9,X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[51]) ).
fof(53,plain,
! [X5,X6] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ! [X7] :
( ( ~ aNormalFormOfIn0(X7,X5,X6)
| ( aElement0(X7)
& sdtmndtasgtdt0(X5,X6,X7)
& ! [X8] : ~ aReductOfIn0(X8,X7,X6) ) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| aReductOfIn0(esk6_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) ) ),
inference(skolemize,[status(esa)],[52]) ).
fof(54,plain,
! [X5,X6,X7,X8] :
( ( ( ( ~ aReductOfIn0(X8,X7,X6)
& aElement0(X7)
& sdtmndtasgtdt0(X5,X6,X7) )
| ~ aNormalFormOfIn0(X7,X5,X6) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| aReductOfIn0(esk6_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6) ) )
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ),
inference(shift_quantors,[status(thm)],[53]) ).
fof(55,plain,
! [X5,X6,X7,X8] :
( ( ~ aReductOfIn0(X8,X7,X6)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( aElement0(X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X5,X6,X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X7)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| aReductOfIn0(esk6_3(X5,X6,X7),X7,X6)
| aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ) ),
inference(distribute,[status(thm)],[54]) ).
cnf(58,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(84,plain,
aElement0(xc),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(85,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(86,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(125,plain,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[14]) ).
fof(135,plain,
! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ( ( ~ sdtmndtasgtdt0(X1,X2,X3)
| X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) )
& ( ( X1 != X3
& ~ sdtmndtplgtdt0(X1,X2,X3) )
| sdtmndtasgtdt0(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[18]) ).
fof(136,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6)
| ( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6) )
& ( ( X4 != X6
& ~ sdtmndtplgtdt0(X4,X5,X6) )
| sdtmndtasgtdt0(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[135]) ).
fof(137,plain,
! [X4,X5,X6] :
( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( X4 != X6
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( ~ sdtmndtplgtdt0(X4,X5,X6)
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[136]) ).
cnf(139,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(140,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[137]) ).
cnf(152,negated_conjecture,
( aElement0(esk4_0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(spm,[status(thm)],[58,28,theory(equality)]) ).
cnf(153,negated_conjecture,
( aElement0(esk4_0)
| $false
| ~ aElement0(esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(rw,[status(thm)],[152,125,theory(equality)]) ).
cnf(154,negated_conjecture,
( aElement0(esk4_0)
| ~ aElement0(esk3_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(cn,[status(thm)],[153,theory(equality)]) ).
cnf(158,plain,
( sdtmndtasgtdt0(X1,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[139,theory(equality)]) ).
cnf(183,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(spm,[status(thm)],[27,140,theory(equality)]) ).
cnf(184,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(spm,[status(thm)],[26,140,theory(equality)]) ).
cnf(206,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[183,125,theory(equality)]) ).
cnf(207,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[206,38,theory(equality)]) ).
cnf(208,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| $false
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[207,86,theory(equality)]) ).
cnf(209,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[208,84,theory(equality)]) ).
cnf(210,negated_conjecture,
( sdtmndtasgtdt0(xb,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(cn,[status(thm)],[209,theory(equality)]) ).
cnf(211,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[184,125,theory(equality)]) ).
cnf(212,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[211,38,theory(equality)]) ).
cnf(213,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| $false
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[212,86,theory(equality)]) ).
cnf(214,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[213,84,theory(equality)]) ).
cnf(215,negated_conjecture,
( sdtmndtasgtdt0(xc,xR,esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(cn,[status(thm)],[214,theory(equality)]) ).
cnf(348,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xb,xR,esk4_0)
| xb = xa
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[210,140,theory(equality)]) ).
cnf(349,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xb,xR,esk4_0)
| xb = xa
| $false
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[348,125,theory(equality)]) ).
cnf(350,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xb,xR,esk4_0)
| xb = xa
| $false
| $false
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[349,39,theory(equality)]) ).
cnf(351,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xb,xR,esk4_0)
| xb = xa
| $false
| $false
| $false
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[350,86,theory(equality)]) ).
cnf(352,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xb,xR,esk4_0)
| xb = xa
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[351,85,theory(equality)]) ).
cnf(353,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xb,xR,esk4_0)
| xb = xa ),
inference(cn,[status(thm)],[352,theory(equality)]) ).
cnf(358,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xc,xR,esk4_0)
| xb = xa
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[215,140,theory(equality)]) ).
cnf(359,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xc,xR,esk4_0)
| xb = xa
| $false
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[358,125,theory(equality)]) ).
cnf(360,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xc,xR,esk4_0)
| xb = xa
| $false
| $false
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[359,39,theory(equality)]) ).
cnf(361,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xc,xR,esk4_0)
| xb = xa
| $false
| $false
| $false
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[360,86,theory(equality)]) ).
cnf(362,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xc,xR,esk4_0)
| xb = xa
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[361,85,theory(equality)]) ).
cnf(363,negated_conjecture,
( xc = xa
| sdtmndtasgtdt0(xc,xR,esk4_0)
| xb = xa ),
inference(cn,[status(thm)],[362,theory(equality)]) ).
cnf(364,negated_conjecture,
( xb = xa
| xc = xa
| ~ sdtmndtasgtdt0(xb,xR,esk4_0)
| ~ aElement0(esk4_0) ),
inference(spm,[status(thm)],[40,363,theory(equality)]) ).
cnf(369,negated_conjecture,
( xb = xa
| xc = xa
| ~ aElement0(esk4_0) ),
inference(csr,[status(thm)],[364,353]) ).
cnf(405,negated_conjecture,
( aElement0(esk4_0)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(csr,[status(thm)],[154,31]) ).
cnf(406,negated_conjecture,
( aElement0(esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(spm,[status(thm)],[405,140,theory(equality)]) ).
cnf(407,negated_conjecture,
( aElement0(esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| ~ sdtmndtasgtdt0(xa,xR,xc)
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[406,125,theory(equality)]) ).
cnf(408,negated_conjecture,
( aElement0(esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| ~ aElement0(xa)
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[407,38,theory(equality)]) ).
cnf(409,negated_conjecture,
( aElement0(esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| $false
| ~ aElement0(xc) ),
inference(rw,[status(thm)],[408,86,theory(equality)]) ).
cnf(410,negated_conjecture,
( aElement0(esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[409,84,theory(equality)]) ).
cnf(411,negated_conjecture,
( aElement0(esk4_0)
| xc = xa
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(cn,[status(thm)],[410,theory(equality)]) ).
cnf(415,negated_conjecture,
( xc = xa
| aElement0(esk4_0)
| xb = xa
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[411,140,theory(equality)]) ).
cnf(416,negated_conjecture,
( xc = xa
| aElement0(esk4_0)
| xb = xa
| $false
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[415,125,theory(equality)]) ).
cnf(417,negated_conjecture,
( xc = xa
| aElement0(esk4_0)
| xb = xa
| $false
| $false
| ~ aElement0(xa)
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[416,39,theory(equality)]) ).
cnf(418,negated_conjecture,
( xc = xa
| aElement0(esk4_0)
| xb = xa
| $false
| $false
| $false
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[417,86,theory(equality)]) ).
cnf(419,negated_conjecture,
( xc = xa
| aElement0(esk4_0)
| xb = xa
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[418,85,theory(equality)]) ).
cnf(420,negated_conjecture,
( xc = xa
| aElement0(esk4_0)
| xb = xa ),
inference(cn,[status(thm)],[419,theory(equality)]) ).
cnf(421,negated_conjecture,
( xc = xa
| xb = xa ),
inference(csr,[status(thm)],[420,369]) ).
cnf(433,negated_conjecture,
( xb = xa
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xa,xR,X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[40,421,theory(equality)]) ).
cnf(573,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| ~ aElement0(xc)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[40,158,theory(equality)]) ).
cnf(577,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[573,84,theory(equality)]) ).
cnf(578,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| $false
| $false ),
inference(rw,[status(thm)],[577,125,theory(equality)]) ).
cnf(579,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(cn,[status(thm)],[578,theory(equality)]) ).
cnf(667,negated_conjecture,
( xb = xa
| ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[433,158,theory(equality)]) ).
cnf(684,negated_conjecture,
( xb = xa
| $false
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[667,39,theory(equality)]) ).
cnf(685,negated_conjecture,
( xb = xa
| $false
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[684,85,theory(equality)]) ).
cnf(686,negated_conjecture,
( xb = xa
| $false
| $false
| $false ),
inference(rw,[status(thm)],[685,125,theory(equality)]) ).
cnf(687,negated_conjecture,
xb = xa,
inference(cn,[status(thm)],[686,theory(equality)]) ).
cnf(691,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[579,687,theory(equality)]),38,theory(equality)]) ).
cnf(692,negated_conjecture,
$false,
inference(cn,[status(thm)],[691,theory(equality)]) ).
cnf(693,negated_conjecture,
$false,
692,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM022+1.p
% --creating new selector for []
% -running prover on /tmp/tmpDiP4kq/sel_COM022+1.p_1 with time limit 29
% -prover status Theorem
% Problem COM022+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM022+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM022+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
%
%------------------------------------------------------------------------------