TSTP Solution File: SYN417+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SYN417+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 13:25:29 EST 2010
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 120
% Number of leaves : 3
% Syntax : Number of formulae : 194 ( 10 unt; 0 def)
% Number of atoms : 701 ( 590 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 670 ( 163 ~; 468 |; 31 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 107 ( 0 sgn 26 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ? [X1] :
( X1 = f(g(X1))
& ! [X2] :
( X2 = f(g(X2))
=> X1 = X2 ) )
<=> ? [X1] :
( X1 = g(f(X1))
& ! [X2] :
( X2 = g(f(X2))
=> X1 = X2 ) ) ),
file('/tmp/tmpDtQfNY/sel_SYN417+1.p_1',cute) ).
fof(2,negated_conjecture,
~ ( ? [X1] :
( X1 = f(g(X1))
& ! [X2] :
( X2 = f(g(X2))
=> X1 = X2 ) )
<=> ? [X1] :
( X1 = g(f(X1))
& ! [X2] :
( X2 = g(f(X2))
=> X1 = X2 ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(3,negated_conjecture,
( ( ! [X1] :
( X1 != f(g(X1))
| ? [X2] :
( X2 = f(g(X2))
& X1 != X2 ) )
| ! [X1] :
( X1 != g(f(X1))
| ? [X2] :
( X2 = g(f(X2))
& X1 != X2 ) ) )
& ( ? [X1] :
( X1 = f(g(X1))
& ! [X2] :
( X2 != f(g(X2))
| X1 = X2 ) )
| ? [X1] :
( X1 = g(f(X1))
& ! [X2] :
( X2 != g(f(X2))
| X1 = X2 ) ) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(4,negated_conjecture,
( ( ! [X3] :
( X3 != f(g(X3))
| ? [X4] :
( X4 = f(g(X4))
& X3 != X4 ) )
| ! [X5] :
( X5 != g(f(X5))
| ? [X6] :
( X6 = g(f(X6))
& X5 != X6 ) ) )
& ( ? [X7] :
( X7 = f(g(X7))
& ! [X8] :
( X8 != f(g(X8))
| X7 = X8 ) )
| ? [X9] :
( X9 = g(f(X9))
& ! [X10] :
( X10 != g(f(X10))
| X9 = X10 ) ) ) ),
inference(variable_rename,[status(thm)],[3]) ).
fof(5,negated_conjecture,
( ( ! [X3] :
( X3 != f(g(X3))
| ( esk1_1(X3) = f(g(esk1_1(X3)))
& X3 != esk1_1(X3) ) )
| ! [X5] :
( X5 != g(f(X5))
| ( esk2_1(X5) = g(f(esk2_1(X5)))
& X5 != esk2_1(X5) ) ) )
& ( ( esk3_0 = f(g(esk3_0))
& ! [X8] :
( X8 != f(g(X8))
| esk3_0 = X8 ) )
| ( esk4_0 = g(f(esk4_0))
& ! [X10] :
( X10 != g(f(X10))
| esk4_0 = X10 ) ) ) ),
inference(skolemize,[status(esa)],[4]) ).
fof(6,negated_conjecture,
! [X3,X5,X8,X10] :
( ( ( ( X10 != g(f(X10))
| esk4_0 = X10 )
& esk4_0 = g(f(esk4_0)) )
| ( ( X8 != f(g(X8))
| esk3_0 = X8 )
& esk3_0 = f(g(esk3_0)) ) )
& ( X5 != g(f(X5))
| ( esk2_1(X5) = g(f(esk2_1(X5)))
& X5 != esk2_1(X5) )
| X3 != f(g(X3))
| ( esk1_1(X3) = f(g(esk1_1(X3)))
& X3 != esk1_1(X3) ) ) ),
inference(shift_quantors,[status(thm)],[5]) ).
fof(7,negated_conjecture,
! [X3,X5,X8,X10] :
( ( X8 != f(g(X8))
| esk3_0 = X8
| X10 != g(f(X10))
| esk4_0 = X10 )
& ( esk3_0 = f(g(esk3_0))
| X10 != g(f(X10))
| esk4_0 = X10 )
& ( X8 != f(g(X8))
| esk3_0 = X8
| esk4_0 = g(f(esk4_0)) )
& ( esk3_0 = f(g(esk3_0))
| esk4_0 = g(f(esk4_0)) )
& ( esk1_1(X3) = f(g(esk1_1(X3)))
| X3 != f(g(X3))
| esk2_1(X5) = g(f(esk2_1(X5)))
| X5 != g(f(X5)) )
& ( X3 != esk1_1(X3)
| X3 != f(g(X3))
| esk2_1(X5) = g(f(esk2_1(X5)))
| X5 != g(f(X5)) )
& ( esk1_1(X3) = f(g(esk1_1(X3)))
| X3 != f(g(X3))
| X5 != esk2_1(X5)
| X5 != g(f(X5)) )
& ( X3 != esk1_1(X3)
| X3 != f(g(X3))
| X5 != esk2_1(X5)
| X5 != g(f(X5)) ) ),
inference(distribute,[status(thm)],[6]) ).
cnf(8,negated_conjecture,
( X1 != g(f(X1))
| X1 != esk2_1(X1)
| X2 != f(g(X2))
| X2 != esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(9,negated_conjecture,
( esk1_1(X2) = f(g(esk1_1(X2)))
| X1 != g(f(X1))
| X1 != esk2_1(X1)
| X2 != f(g(X2)) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(10,negated_conjecture,
( esk2_1(X1) = g(f(esk2_1(X1)))
| X1 != g(f(X1))
| X2 != f(g(X2))
| X2 != esk1_1(X2) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(11,negated_conjecture,
( esk2_1(X1) = g(f(esk2_1(X1)))
| esk1_1(X2) = f(g(esk1_1(X2)))
| X1 != g(f(X1))
| X2 != f(g(X2)) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(12,negated_conjecture,
( esk4_0 = g(f(esk4_0))
| esk3_0 = f(g(esk3_0)) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(13,negated_conjecture,
( esk4_0 = g(f(esk4_0))
| esk3_0 = X1
| X1 != f(g(X1)) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(14,negated_conjecture,
( esk4_0 = X1
| esk3_0 = f(g(esk3_0))
| X1 != g(f(X1)) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(15,negated_conjecture,
( esk4_0 = X1
| esk3_0 = X2
| X1 != g(f(X1))
| X2 != f(g(X2)) ),
inference(split_conjunct,[status(thm)],[7]) ).
cnf(17,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk3_0)) = esk3_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[11,12,theory(equality)]) ).
fof(18,plain,
( ~ epred1_0
<=> ! [X1] :
( esk2_1(X1) != X1
| g(f(X1)) != X1 ) ),
introduced(definition),
[split] ).
cnf(19,plain,
( epred1_0
| esk2_1(X1) != X1
| g(f(X1)) != X1 ),
inference(split_equiv,[status(thm)],[18]) ).
fof(20,plain,
( ~ epred2_0
<=> ! [X2] :
( esk1_1(X2) != X2
| f(g(X2)) != X2 ) ),
introduced(definition),
[split] ).
cnf(21,plain,
( epred2_0
| esk1_1(X2) != X2
| f(g(X2)) != X2 ),
inference(split_equiv,[status(thm)],[20]) ).
cnf(22,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[8,18,theory(equality)]),20,theory(equality)]),
[split] ).
cnf(24,negated_conjecture,
( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk1_1(f(esk4_0)))) = esk1_1(f(esk4_0))
| f(g(esk3_0)) = esk3_0 ),
inference(spm,[status(thm)],[17,12,theory(equality)]) ).
cnf(26,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = g(esk1_1(f(esk4_0)))
| g(f(esk2_1(esk4_0))) = esk2_1(esk4_0) ),
inference(spm,[status(thm)],[14,24,theory(equality)]) ).
cnf(29,negated_conjecture,
( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk1_1(esk1_1(f(esk4_0))))) = esk1_1(esk1_1(f(esk4_0)))
| f(g(esk3_0)) = esk3_0 ),
inference(spm,[status(thm)],[17,24,theory(equality)]) ).
cnf(32,negated_conjecture,
( f(esk4_0) = esk1_1(f(esk4_0))
| g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk3_0)) = esk3_0 ),
inference(spm,[status(thm)],[24,26,theory(equality)]) ).
cnf(34,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = esk2_1(esk4_0)
| esk1_1(f(esk4_0)) = f(esk4_0) ),
inference(spm,[status(thm)],[14,32,theory(equality)]) ).
cnf(38,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| g(f(X1)) != X1
| f(g(f(esk4_0))) != f(esk4_0) ),
inference(spm,[status(thm)],[10,34,theory(equality)]) ).
cnf(39,negated_conjecture,
( epred2_0
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| f(g(f(esk4_0))) != f(esk4_0) ),
inference(spm,[status(thm)],[21,34,theory(equality)]) ).
cnf(44,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(spm,[status(thm)],[39,12,theory(equality)]) ).
cnf(45,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| epred2_0
| g(f(esk4_0)) != esk4_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[9,44,theory(equality)]) ).
cnf(59,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = g(esk1_1(esk1_1(f(esk4_0))))
| g(f(esk2_1(esk4_0))) = esk2_1(esk4_0) ),
inference(spm,[status(thm)],[14,29,theory(equality)]) ).
cnf(83,negated_conjecture,
( f(esk4_0) = esk1_1(esk1_1(f(esk4_0)))
| g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk3_0)) = esk3_0 ),
inference(spm,[status(thm)],[29,59,theory(equality)]) ).
cnf(88,negated_conjecture,
( f(g(f(esk4_0))) = f(esk4_0)
| g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk3_0)) = esk3_0 ),
inference(spm,[status(thm)],[29,83,theory(equality)]) ).
cnf(92,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = esk2_1(esk4_0)
| f(g(f(esk4_0))) = f(esk4_0) ),
inference(spm,[status(thm)],[14,88,theory(equality)]) ).
cnf(107,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| epred2_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[45,12]) ).
cnf(109,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = g(esk1_1(X1))
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[14,107,theory(equality)]) ).
cnf(134,negated_conjecture,
( f(esk4_0) = esk1_1(X1)
| f(g(esk3_0)) = esk3_0
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[107,109,theory(equality)]) ).
cnf(139,negated_conjecture,
( epred2_0
| f(g(esk3_0)) = esk3_0
| f(g(X1)) != X1
| f(esk4_0) != X1 ),
inference(spm,[status(thm)],[21,134,theory(equality)]) ).
cnf(149,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| epred2_0 ),
inference(spm,[status(thm)],[139,12,theory(equality)]) ).
cnf(161,negated_conjecture,
( esk4_0 = g(esk3_0)
| esk3_0 = X1
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,149,theory(equality)]) ).
cnf(162,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[11,149,theory(equality)]) ).
cnf(250,negated_conjecture,
( g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[162,149,theory(equality)]) ).
cnf(253,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk3_0 = f(esk2_1(g(esk3_0)))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[13,250,theory(equality)]) ).
cnf(255,negated_conjecture,
( esk4_0 = esk2_1(g(esk3_0))
| esk3_0 = X1
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,250,theory(equality)]) ).
cnf(256,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk2_1(esk2_1(g(esk3_0))))) = esk2_1(esk2_1(g(esk3_0)))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[11,250,theory(equality)]) ).
cnf(258,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = f(esk2_1(g(esk3_0)))
| epred2_0
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[161,250,theory(equality)]) ).
cnf(266,negated_conjecture,
( g(esk3_0) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| g(esk3_0) = esk4_0 ),
inference(spm,[status(thm)],[250,258,theory(equality)]) ).
cnf(272,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| epred2_0
| esk2_1(g(esk3_0)) = g(esk3_0) ),
inference(spm,[status(thm)],[161,266,theory(equality)]) ).
cnf(276,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| esk1_1(esk3_0) = esk3_0
| g(esk3_0) = esk4_0
| epred2_0
| g(f(g(esk3_0))) != g(esk3_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[9,272,theory(equality)]) ).
cnf(284,negated_conjecture,
( g(esk3_0) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| g(f(esk4_0)) = esk4_0 ),
inference(spm,[status(thm)],[250,253,theory(equality)]) ).
cnf(292,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| g(f(X1)) != X1 ),
inference(csr,[status(thm)],[38,92]) ).
cnf(294,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk4_0 = esk2_1(X1)
| esk2_1(esk4_0) = esk4_0
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[14,292,theory(equality)]) ).
cnf(328,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0 ),
inference(spm,[status(thm)],[294,12,theory(equality)]) ).
cnf(343,negated_conjecture,
( epred1_0
| f(g(esk3_0)) = esk3_0
| g(f(esk4_0)) != esk4_0 ),
inference(spm,[status(thm)],[19,328,theory(equality)]) ).
cnf(347,negated_conjecture,
( f(g(esk3_0)) = esk3_0
| epred1_0 ),
inference(csr,[status(thm)],[343,12]) ).
cnf(349,negated_conjecture,
( esk4_0 = g(esk3_0)
| esk3_0 = X1
| epred1_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,347,theory(equality)]) ).
cnf(350,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
| epred1_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[11,347,theory(equality)]) ).
cnf(440,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| esk2_1(g(esk3_0)) = g(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[13,284,theory(equality)]) ).
cnf(546,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(g(esk3_0)) = esk4_0
| esk3_0 = f(esk2_1(g(esk3_0)))
| epred2_0 ),
inference(spm,[status(thm)],[255,250,theory(equality)]) ).
cnf(556,negated_conjecture,
( g(esk3_0) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| esk2_1(g(esk3_0)) = esk4_0 ),
inference(spm,[status(thm)],[250,546,theory(equality)]) ).
cnf(587,negated_conjecture,
( g(f(esk2_1(esk2_1(g(esk3_0))))) = esk2_1(esk2_1(g(esk3_0)))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[256,149,theory(equality)]) ).
cnf(600,negated_conjecture,
( esk4_0 = esk2_1(esk2_1(g(esk3_0)))
| esk3_0 = X1
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,587,theory(equality)]) ).
cnf(601,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk2_1(esk2_1(esk2_1(g(esk3_0)))))) = esk2_1(esk2_1(esk2_1(g(esk3_0))))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[11,587,theory(equality)]) ).
cnf(602,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = f(esk2_1(esk2_1(g(esk3_0))))
| epred2_0
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[161,587,theory(equality)]) ).
cnf(617,negated_conjecture,
( g(esk3_0) = esk2_1(esk2_1(g(esk3_0)))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| g(esk3_0) = esk4_0 ),
inference(spm,[status(thm)],[587,602,theory(equality)]) ).
cnf(637,negated_conjecture,
( esk4_0 = g(esk1_1(esk3_0))
| esk3_0 = X1
| esk2_1(g(esk3_0)) = g(esk3_0)
| esk2_1(g(esk3_0)) = esk4_0
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,556,theory(equality)]) ).
cnf(672,negated_conjecture,
( g(f(g(esk3_0))) = g(esk3_0)
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| g(esk3_0) = esk4_0 ),
inference(spm,[status(thm)],[587,617,theory(equality)]) ).
cnf(708,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| epred2_0
| g(f(g(esk3_0))) = g(esk3_0) ),
inference(spm,[status(thm)],[161,672,theory(equality)]) ).
cnf(938,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| esk1_1(esk3_0) = esk3_0
| g(esk3_0) = esk4_0
| epred2_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[276,708]) ).
cnf(943,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = esk1_1(X1)
| epred2_0
| esk1_1(esk3_0) = esk3_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[161,938,theory(equality)]) ).
cnf(951,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| g(esk3_0) = esk4_0
| epred2_0 ),
inference(spm,[status(thm)],[943,149,theory(equality)]) ).
cnf(975,negated_conjecture,
( epred2_0
| g(esk3_0) = esk4_0
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[21,951,theory(equality)]) ).
cnf(986,negated_conjecture,
( g(esk3_0) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[975,149]) ).
cnf(987,negated_conjecture,
( f(esk4_0) = esk3_0
| epred2_0 ),
inference(spm,[status(thm)],[149,986,theory(equality)]) ).
cnf(989,negated_conjecture,
( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[250,986,theory(equality)]) ).
cnf(992,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| g(f(esk4_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| epred2_0 ),
inference(spm,[status(thm)],[440,986,theory(equality)]) ).
cnf(994,negated_conjecture,
( g(f(esk2_1(esk2_1(esk4_0)))) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[587,986,theory(equality)]) ).
cnf(1005,negated_conjecture,
( epred2_0
| g(f(esk4_0)) = esk4_0
| esk2_1(esk4_0) = esk4_0
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[21,992,theory(equality)]) ).
cnf(1019,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[1005,149]) ).
cnf(1030,negated_conjecture,
( esk4_0 = esk2_1(esk4_0)
| esk3_0 = X1
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,989,theory(equality)]) ).
cnf(1036,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| g(f(esk4_0)) = esk4_0
| epred2_0 ),
inference(spm,[status(thm)],[989,1019,theory(equality)]) ).
cnf(1037,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[13,1036,theory(equality)]) ).
cnf(1047,negated_conjecture,
( epred2_0
| g(f(esk4_0)) = esk4_0
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[21,1037,theory(equality)]) ).
cnf(1055,negated_conjecture,
( g(f(esk4_0)) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[1047,149]) ).
cnf(1065,negated_conjecture,
( g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred1_0 ),
inference(spm,[status(thm)],[350,347,theory(equality)]) ).
cnf(1092,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = f(esk2_1(g(esk3_0)))
| epred1_0
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[349,1065,theory(equality)]) ).
cnf(1118,negated_conjecture,
( g(esk3_0) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred1_0
| g(esk3_0) = esk4_0 ),
inference(spm,[status(thm)],[1065,1092,theory(equality)]) ).
cnf(1190,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| epred1_0
| esk2_1(g(esk3_0)) = g(esk3_0) ),
inference(spm,[status(thm)],[349,1118,theory(equality)]) ).
cnf(1196,negated_conjecture,
( epred1_0
| esk1_1(esk3_0) = esk3_0
| g(esk3_0) = esk4_0
| g(f(g(esk3_0))) != g(esk3_0) ),
inference(spm,[status(thm)],[19,1190,theory(equality)]) ).
cnf(1210,negated_conjecture,
( g(esk3_0) = esk4_0
| esk1_1(esk3_0) = esk3_0
| epred1_0 ),
inference(spm,[status(thm)],[1196,347,theory(equality)]) ).
cnf(1777,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk2_1(g(esk3_0))) = esk4_0
| esk3_0 = f(esk2_1(esk2_1(esk4_0)))
| epred2_0 ),
inference(spm,[status(thm)],[600,994,theory(equality)]) ).
cnf(1826,negated_conjecture,
( g(f(esk2_1(esk2_1(esk2_1(g(esk3_0)))))) = esk2_1(esk2_1(esk2_1(g(esk3_0))))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[601,149,theory(equality)]) ).
cnf(1862,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| f(esk2_1(esk2_1(esk4_0))) = esk3_0
| esk2_1(esk2_1(esk4_0)) = esk4_0
| epred2_0 ),
inference(spm,[status(thm)],[1777,986,theory(equality)]) ).
cnf(1873,negated_conjecture,
( g(esk3_0) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| esk2_1(esk2_1(esk4_0)) = esk4_0 ),
inference(spm,[status(thm)],[994,1862,theory(equality)]) ).
cnf(1876,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk2_1(esk4_0)) = esk4_0
| epred2_0
| g(esk3_0) != esk4_0 ),
inference(ef,[status(thm)],[1873,theory(equality)]) ).
cnf(1888,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk2_1(esk4_0)) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[1876,986]) ).
cnf(1937,negated_conjecture,
( g(f(esk2_1(esk2_1(esk2_1(esk4_0))))) = esk2_1(esk2_1(esk2_1(esk4_0)))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[1826,986,theory(equality)]) ).
cnf(1940,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk4_0) = esk4_0
| esk3_0 = f(esk2_1(esk2_1(esk2_1(g(esk3_0)))))
| epred2_0 ),
inference(spm,[status(thm)],[1030,1826,theory(equality)]) ).
cnf(1952,negated_conjecture,
( f(esk2_1(esk2_1(esk2_1(esk4_0)))) = esk3_0
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(spm,[status(thm)],[1940,986,theory(equality)]) ).
cnf(2005,negated_conjecture,
( g(esk3_0) = esk2_1(esk2_1(esk2_1(esk4_0)))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred2_0
| esk2_1(esk4_0) = esk4_0 ),
inference(spm,[status(thm)],[1937,1952,theory(equality)]) ).
cnf(2038,negated_conjecture,
( esk2_1(g(esk3_0)) = g(esk3_0)
| esk2_1(g(esk3_0)) = esk4_0
| g(esk1_1(esk3_0)) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| epred2_0 ),
inference(spm,[status(thm)],[637,556,theory(equality)]) ).
cnf(2071,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| g(esk1_1(esk3_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| epred2_0 ),
inference(spm,[status(thm)],[2038,986,theory(equality)]) ).
cnf(2141,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk4_0) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(spm,[status(thm)],[2005,1888,theory(equality)]) ).
cnf(2198,negated_conjecture,
( f(esk4_0) = esk1_1(esk3_0)
| esk2_1(esk4_0) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| epred2_0
| esk1_1(esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[2141,2071,theory(equality)]) ).
cnf(2208,negated_conjecture,
( esk2_1(esk4_0) = g(esk3_0)
| esk1_1(esk3_0) = esk3_0
| esk2_1(esk4_0) = esk4_0
| epred2_0
| f(esk4_0) != esk3_0 ),
inference(ef,[status(thm)],[2198,theory(equality)]) ).
cnf(2229,negated_conjecture,
( esk2_1(esk4_0) = g(esk3_0)
| esk1_1(esk3_0) = esk3_0
| esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[2208,987]) ).
cnf(2231,negated_conjecture,
( epred2_0
| esk2_1(esk4_0) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[21,2229,theory(equality)]) ).
cnf(2248,negated_conjecture,
( esk2_1(esk4_0) = g(esk3_0)
| esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[2231,149]) ).
cnf(2249,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| epred2_0
| g(esk3_0) != esk4_0 ),
inference(ef,[status(thm)],[2248,theory(equality)]) ).
cnf(2269,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| epred2_0 ),
inference(csr,[status(thm)],[2249,986]) ).
cnf(2270,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| epred2_0
| g(f(esk4_0)) != esk4_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[9,2269,theory(equality)]) ).
cnf(2330,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| epred2_0
| f(g(X1)) != X1 ),
inference(csr,[status(thm)],[2270,1055]) ).
cnf(2333,negated_conjecture,
( esk4_0 = g(esk1_1(X1))
| esk3_0 = X2
| epred2_0
| f(g(X2)) != X2
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,2330,theory(equality)]) ).
cnf(2458,negated_conjecture,
( g(esk1_1(X1)) = esk4_0
| esk3_0 = esk1_1(X2)
| epred2_0
| f(g(X1)) != X1
| f(g(X2)) != X2 ),
inference(spm,[status(thm)],[2333,2330,theory(equality)]) ).
cnf(2525,negated_conjecture,
( g(esk1_1(esk3_0)) = esk4_0
| esk1_1(X1) = esk3_0
| epred2_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[2458,149,theory(equality)]) ).
cnf(2561,negated_conjecture,
( g(esk1_1(esk3_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0
| epred2_0 ),
inference(spm,[status(thm)],[2525,149,theory(equality)]) ).
cnf(2610,negated_conjecture,
( f(esk4_0) = esk1_1(esk3_0)
| epred2_0
| esk1_1(esk3_0) = esk3_0
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[2330,2561,theory(equality)]) ).
cnf(2635,negated_conjecture,
( esk1_1(esk3_0) = f(esk4_0)
| esk1_1(esk3_0) = esk3_0
| epred2_0 ),
inference(csr,[status(thm)],[2610,149]) ).
cnf(2636,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| epred2_0
| f(esk4_0) != esk3_0 ),
inference(ef,[status(thm)],[2635,theory(equality)]) ).
cnf(2657,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| epred2_0 ),
inference(csr,[status(thm)],[2636,987]) ).
cnf(2659,negated_conjecture,
( epred2_0
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[21,2657,theory(equality)]) ).
cnf(2676,negated_conjecture,
epred2_0,
inference(csr,[status(thm)],[2659,149]) ).
cnf(2729,negated_conjecture,
( $false
| ~ epred1_0 ),
inference(rw,[status(thm)],[22,2676,theory(equality)]) ).
cnf(2730,negated_conjecture,
~ epred1_0,
inference(cn,[status(thm)],[2729,theory(equality)]) ).
cnf(2731,negated_conjecture,
f(g(esk3_0)) = esk3_0,
inference(sr,[status(thm)],[347,2730,theory(equality)]) ).
cnf(2736,negated_conjecture,
( esk1_1(esk3_0) = esk3_0
| g(esk3_0) = esk4_0 ),
inference(sr,[status(thm)],[1210,2730,theory(equality)]) ).
cnf(2739,negated_conjecture,
( esk4_0 = g(esk3_0)
| esk3_0 = X1
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,2731,theory(equality)]) ).
cnf(2741,negated_conjecture,
( g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| epred1_0 ),
inference(spm,[status(thm)],[350,2731,theory(equality)]) ).
cnf(2754,negated_conjecture,
( g(f(esk2_1(g(esk3_0)))) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(sr,[status(thm)],[2741,2730,theory(equality)]) ).
cnf(2755,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk3_0) = esk4_0
| g(f(X1)) != X1
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[10,2736,theory(equality)]) ).
cnf(2756,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk3_0) = esk4_0
| g(f(X1)) != X1
| $false ),
inference(rw,[status(thm)],[2755,2731,theory(equality)]) ).
cnf(2757,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(esk3_0) = esk4_0
| g(f(X1)) != X1 ),
inference(cn,[status(thm)],[2756,theory(equality)]) ).
cnf(2790,negated_conjecture,
( g(esk3_0) = esk4_0
| esk3_0 = f(esk2_1(X1))
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[2739,2757,theory(equality)]) ).
cnf(2801,negated_conjecture,
( g(esk3_0) = esk2_1(X1)
| g(esk3_0) = esk4_0
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[2757,2790,theory(equality)]) ).
cnf(2805,negated_conjecture,
( epred1_0
| g(esk3_0) = esk4_0
| g(f(X1)) != X1
| g(esk3_0) != X1 ),
inference(spm,[status(thm)],[19,2801,theory(equality)]) ).
cnf(2811,negated_conjecture,
( g(esk3_0) = esk4_0
| g(f(X1)) != X1
| g(esk3_0) != X1 ),
inference(sr,[status(thm)],[2805,2730,theory(equality)]) ).
cnf(2823,negated_conjecture,
g(esk3_0) = esk4_0,
inference(spm,[status(thm)],[2811,2731,theory(equality)]) ).
cnf(2830,negated_conjecture,
f(esk4_0) = esk3_0,
inference(rw,[status(thm)],[2731,2823,theory(equality)]) ).
cnf(2843,negated_conjecture,
( g(f(esk2_1(esk4_0))) = esk2_1(g(esk3_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(rw,[status(thm)],[2754,2823,theory(equality)]) ).
cnf(2844,negated_conjecture,
( g(f(esk2_1(esk4_0))) = esk2_1(esk4_0)
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(rw,[status(thm)],[2843,2823,theory(equality)]) ).
cnf(2855,negated_conjecture,
( esk4_0 = esk2_1(esk4_0)
| esk3_0 = X1
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,2844,theory(equality)]) ).
cnf(2856,negated_conjecture,
( f(g(esk1_1(X1))) = esk1_1(X1)
| g(f(esk2_1(esk2_1(esk4_0)))) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[11,2844,theory(equality)]) ).
cnf(2861,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk4_0) = esk4_0
| esk3_0 = f(esk2_1(esk4_0)) ),
inference(spm,[status(thm)],[2855,2844,theory(equality)]) ).
cnf(2866,negated_conjecture,
( esk4_0 = g(esk1_1(esk3_0))
| esk3_0 = X1
| f(esk2_1(esk4_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,2861,theory(equality)]) ).
cnf(2887,negated_conjecture,
( g(f(esk2_1(esk2_1(esk4_0)))) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| f(esk4_0) != esk3_0 ),
inference(spm,[status(thm)],[2856,2823,theory(equality)]) ).
cnf(2892,negated_conjecture,
( g(f(esk2_1(esk2_1(esk4_0)))) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| $false ),
inference(rw,[status(thm)],[2887,2830,theory(equality)]) ).
cnf(2893,negated_conjecture,
( g(f(esk2_1(esk2_1(esk4_0)))) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(cn,[status(thm)],[2892,theory(equality)]) ).
cnf(2894,negated_conjecture,
( esk4_0 = esk2_1(esk2_1(esk4_0))
| esk3_0 = X1
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,2893,theory(equality)]) ).
cnf(2953,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk2_1(esk4_0)) = esk4_0
| esk3_0 = f(esk2_1(esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[2894,2893,theory(equality)]) ).
cnf(2965,negated_conjecture,
( g(esk3_0) = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk2_1(esk4_0)) = esk4_0 ),
inference(spm,[status(thm)],[2893,2953,theory(equality)]) ).
cnf(2968,negated_conjecture,
( esk4_0 = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk2_1(esk4_0)) = esk4_0 ),
inference(rw,[status(thm)],[2965,2823,theory(equality)]) ).
cnf(2969,negated_conjecture,
( esk4_0 = esk2_1(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0) ),
inference(cn,[status(thm)],[2968,theory(equality)]) ).
cnf(2971,negated_conjecture,
( epred1_0
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| g(f(esk2_1(esk4_0))) != esk2_1(esk4_0)
| esk4_0 != esk2_1(esk4_0) ),
inference(spm,[status(thm)],[19,2969,theory(equality)]) ).
cnf(2974,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| g(f(esk2_1(esk4_0))) != esk2_1(esk4_0)
| esk2_1(esk4_0) != esk4_0 ),
inference(sr,[status(thm)],[2971,2730,theory(equality)]) ).
cnf(2977,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk4_0) != esk4_0 ),
inference(csr,[status(thm)],[2974,2844]) ).
cnf(2978,negated_conjecture,
( esk4_0 = g(esk1_1(esk3_0))
| esk3_0 = X1
| f(g(X1)) != X1
| esk2_1(esk4_0) != esk4_0 ),
inference(spm,[status(thm)],[15,2977,theory(equality)]) ).
cnf(2984,negated_conjecture,
( g(esk1_1(esk3_0)) = esk4_0
| esk3_0 = f(esk2_1(esk4_0))
| f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk2_1(esk4_0) != esk4_0 ),
inference(spm,[status(thm)],[2978,2844,theory(equality)]) ).
cnf(2991,negated_conjecture,
( g(esk1_1(esk3_0)) = esk4_0
| esk3_0 = esk1_1(esk3_0)
| esk2_1(esk4_0) != esk4_0 ),
inference(spm,[status(thm)],[2978,2977,theory(equality)]) ).
cnf(3007,negated_conjecture,
( f(esk4_0) = esk1_1(esk3_0)
| esk1_1(esk3_0) = esk3_0
| esk2_1(esk4_0) != esk4_0 ),
inference(spm,[status(thm)],[2977,2991,theory(equality)]) ).
cnf(3018,negated_conjecture,
( esk3_0 = esk1_1(esk3_0)
| esk1_1(esk3_0) = esk3_0
| esk2_1(esk4_0) != esk4_0 ),
inference(rw,[status(thm)],[3007,2830,theory(equality)]) ).
cnf(3019,negated_conjecture,
( esk3_0 = esk1_1(esk3_0)
| esk2_1(esk4_0) != esk4_0 ),
inference(cn,[status(thm)],[3018,theory(equality)]) ).
cnf(3068,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| g(esk1_1(esk3_0)) = esk4_0
| f(esk2_1(esk4_0)) = esk3_0 ),
inference(csr,[status(thm)],[2984,2861]) ).
cnf(3073,negated_conjecture,
( f(esk2_1(esk4_0)) = esk3_0
| g(esk1_1(esk3_0)) = esk4_0
| esk2_1(esk4_0) = esk4_0
| esk3_0 = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[2866,3068,theory(equality)]) ).
cnf(3080,negated_conjecture,
( f(esk2_1(esk4_0)) = esk3_0
| g(esk1_1(esk3_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(csr,[status(thm)],[3073,3019]) ).
cnf(3083,negated_conjecture,
( f(esk4_0) = esk1_1(esk3_0)
| f(esk2_1(esk4_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[2861,3080,theory(equality)]) ).
cnf(3092,negated_conjecture,
( esk3_0 = esk1_1(esk3_0)
| f(esk2_1(esk4_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(rw,[status(thm)],[3083,2830,theory(equality)]) ).
cnf(3093,negated_conjecture,
( esk3_0 = esk1_1(esk3_0)
| f(esk2_1(esk4_0)) = esk3_0
| esk2_1(esk4_0) = esk4_0 ),
inference(cn,[status(thm)],[3092,theory(equality)]) ).
cnf(3102,negated_conjecture,
( f(esk2_1(esk4_0)) = esk3_0
| esk1_1(esk3_0) = esk3_0 ),
inference(csr,[status(thm)],[3093,3019]) ).
cnf(3105,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| g(esk3_0) = esk2_1(esk4_0)
| esk1_1(esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[2844,3102,theory(equality)]) ).
cnf(3108,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk4_0 = esk2_1(esk4_0)
| esk1_1(esk3_0) = esk3_0 ),
inference(rw,[status(thm)],[3105,2823,theory(equality)]) ).
cnf(3112,negated_conjecture,
( f(g(esk1_1(esk3_0))) = esk1_1(esk3_0)
| esk1_1(esk3_0) = esk3_0 ),
inference(csr,[status(thm)],[3108,3019]) ).
cnf(3113,negated_conjecture,
( esk4_0 = g(esk1_1(esk3_0))
| esk3_0 = X1
| esk1_1(esk3_0) = esk3_0
| f(g(X1)) != X1 ),
inference(spm,[status(thm)],[15,3112,theory(equality)]) ).
cnf(3180,negated_conjecture,
( g(esk1_1(esk3_0)) = esk4_0
| esk1_1(esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[3113,3112,theory(equality)]) ).
cnf(3192,negated_conjecture,
( f(esk4_0) = esk1_1(esk3_0)
| esk1_1(esk3_0) = esk3_0 ),
inference(spm,[status(thm)],[3112,3180,theory(equality)]) ).
cnf(3204,negated_conjecture,
( esk3_0 = esk1_1(esk3_0)
| esk1_1(esk3_0) = esk3_0 ),
inference(rw,[status(thm)],[3192,2830,theory(equality)]) ).
cnf(3205,negated_conjecture,
esk3_0 = esk1_1(esk3_0),
inference(cn,[status(thm)],[3204,theory(equality)]) ).
cnf(3207,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(X1)) != X1
| f(g(esk3_0)) != esk3_0 ),
inference(spm,[status(thm)],[10,3205,theory(equality)]) ).
cnf(3259,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(X1)) != X1
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3207,2823,theory(equality)]),2830,theory(equality)]) ).
cnf(3260,negated_conjecture,
( g(f(esk2_1(X1))) = esk2_1(X1)
| g(f(X1)) != X1 ),
inference(cn,[status(thm)],[3259,theory(equality)]) ).
cnf(3261,negated_conjecture,
( esk4_0 = esk2_1(X1)
| esk3_0 = X2
| f(g(X2)) != X2
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[15,3260,theory(equality)]) ).
cnf(3263,negated_conjecture,
( esk2_1(X1) = esk4_0
| esk3_0 = f(esk2_1(X2))
| g(f(X1)) != X1
| g(f(X2)) != X2 ),
inference(spm,[status(thm)],[3261,3260,theory(equality)]) ).
cnf(3269,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| g(esk3_0) != esk4_0
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[3263,2830,theory(equality)]) ).
cnf(3272,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| $false
| g(f(X1)) != X1 ),
inference(rw,[status(thm)],[3269,2823,theory(equality)]) ).
cnf(3273,negated_conjecture,
( f(esk2_1(X1)) = esk3_0
| esk2_1(esk4_0) = esk4_0
| g(f(X1)) != X1 ),
inference(cn,[status(thm)],[3272,theory(equality)]) ).
cnf(3275,negated_conjecture,
( g(esk3_0) = esk2_1(X1)
| esk2_1(esk4_0) = esk4_0
| g(f(X1)) != X1 ),
inference(spm,[status(thm)],[3260,3273,theory(equality)]) ).
cnf(3279,negated_conjecture,
( esk4_0 = esk2_1(X1)
| esk2_1(esk4_0) = esk4_0
| g(f(X1)) != X1 ),
inference(rw,[status(thm)],[3275,2823,theory(equality)]) ).
cnf(3283,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| g(esk3_0) != esk4_0 ),
inference(spm,[status(thm)],[3279,2830,theory(equality)]) ).
cnf(3287,negated_conjecture,
( esk2_1(esk4_0) = esk4_0
| $false ),
inference(rw,[status(thm)],[3283,2823,theory(equality)]) ).
cnf(3288,negated_conjecture,
esk2_1(esk4_0) = esk4_0,
inference(cn,[status(thm)],[3287,theory(equality)]) ).
cnf(3291,negated_conjecture,
( epred1_0
| g(f(esk4_0)) != esk4_0 ),
inference(spm,[status(thm)],[19,3288,theory(equality)]) ).
cnf(3301,negated_conjecture,
( epred1_0
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3291,2830,theory(equality)]),2823,theory(equality)]) ).
cnf(3302,negated_conjecture,
epred1_0,
inference(cn,[status(thm)],[3301,theory(equality)]) ).
cnf(3303,negated_conjecture,
$false,
inference(sr,[status(thm)],[3302,2730,theory(equality)]) ).
cnf(3304,negated_conjecture,
$false,
3303,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN417+1.p
% --creating new selector for []
% -running prover on /tmp/tmpDtQfNY/sel_SYN417+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN417+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN417+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN417+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
%
%------------------------------------------------------------------------------