TSTP Solution File: ALG023+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG023+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:30:55 EDT 2022
% Result : Unsatisfiable 8.88s 9.06s
% Output : CNFRefutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 133
% Syntax : Number of formulae : 586 ( 136 unt; 3 def)
% Number of atoms : 1994 (1690 equ)
% Maximal formula atoms : 64 ( 3 avg)
% Number of connectives : 2041 ( 633 ~;1035 |; 366 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ) ).
fof(ax2,axiom,
( op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3)) ) ).
fof(ax3,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ) ).
fof(ax4,axiom,
( op(e0,inv(e0)) = unit
& op(inv(e0),e0) = unit
& op(e1,inv(e1)) = unit
& op(inv(e1),e1) = unit
& op(e2,inv(e2)) = unit
& op(inv(e2),e2) = unit
& op(e3,inv(e3)) = unit
& op(inv(e3),e3) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ) ) ).
fof(ax9,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ) ).
fof(ax10,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ) ).
fof(ax11,axiom,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ) ).
fof(ax16,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(e1,e2) ) ).
fof(ax22,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(e0,e2) ) ).
fof(ax23,axiom,
~ ( e1 = op(e0,e0)
& e3 = op(e2,e0) ) ).
fof(ax26,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e0,e3) ) ).
fof(ax32,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(e0,e2) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_2
<=> ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ).
fof(normalize_0_0,plain,
( op(op(e0,e0),e0) = op(e0,op(e0,e0))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e3) = op(e3,op(e3,e3)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_1,plain,
op(op(e0,e2),e0) = op(e0,op(e2,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_3,plain,
( ~ definitionFOFtoCNF_1
<=> ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_4,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1 ) ) ),
inference(simplify,[],[normalize_0_2,normalize_0_3]) ).
fof(normalize_0_5,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e0,e0) = e1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e1,e1) = e1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e2,e2) = e1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e3,e3) = e1 )
& ( op(e0,e0) != e1
| op(e1,e1) != e1
| op(e2,e2) != e1
| op(e3,e3) != e1
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e0,e0) = e1 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( e0 != op(e2,e2)
| e3 != op(e1,e2) ),
inference(canonicalize,[],[ax16]) ).
fof(normalize_0_8,plain,
( ( op(e0,e0) = e0
| definitionFOFtoCNF_1 )
& ( op(e1,e1) = e0
| definitionFOFtoCNF_1 )
& ( op(e2,e2) = e0
| definitionFOFtoCNF_1 )
& ( op(e3,e3) = e0
| definitionFOFtoCNF_1 )
& ( op(e0,e0) != e0
| op(e1,e1) != e0
| op(e2,e2) != e0
| op(e3,e3) != e0
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_9,plain,
( op(e2,e2) = e0
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
( op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e3,e0)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e3,e2)
& op(e2,e3) != op(e3,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
inference(canonicalize,[],[ax9]) ).
fof(normalize_0_11,plain,
op(e1,e0) != op(e1,e2),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( op(e0,unit) = e0
& op(e1,unit) = e1
& op(e2,unit) = e2
& op(e3,unit) = e3
& op(unit,e0) = e0
& op(unit,e1) = e1
& op(unit,e2) = e2
& op(unit,e3) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_0_13,plain,
op(e1,unit) = e1,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
( op(e0,e0) = e0
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_15,plain,
( op(e0,inv(e0)) = unit
& op(e1,inv(e1)) = unit
& op(e2,inv(e2)) = unit
& op(e3,inv(e3)) = unit
& op(inv(e0),e0) = unit
& op(inv(e1),e1) = unit
& op(inv(e2),e2) = unit
& op(inv(e3),e3) = unit
& ( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 )
& ( inv(e1) = e0
| inv(e1) = e1
| inv(e1) = e2
| inv(e1) = e3 )
& ( inv(e2) = e0
| inv(e2) = e1
| inv(e2) = e2
| inv(e2) = e3 )
& ( inv(e3) = e0
| inv(e3) = e1
| inv(e3) = e2
| inv(e3) = e3 ) ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_16,plain,
op(inv(e0),e0) = unit,
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
op(op(e1,e1),e0) = op(e1,op(e1,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_18,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_19,plain,
op(op(e2,e0),e0) = op(e2,op(e0,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_20,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_21,plain,
op(op(e2,e2),e0) = op(e2,op(e2,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_22,plain,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_23,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
op(e0,e0) != op(e2,e0),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_25,plain,
op(e0,e1) != op(e0,e2),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_26,plain,
op(e0,e2) != op(e0,e3),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_27,plain,
op(e0,inv(e0)) = unit,
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_28,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_29,plain,
op(e0,unit) = e0,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_30,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
inference(canonicalize,[],[ax10]) ).
fof(normalize_0_31,plain,
e0 != e2,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
e0 != e1,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_33,plain,
op(op(e3,e3),e0) = op(e3,op(e3,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_34,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_35,plain,
op(e3,unit) = e3,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_36,plain,
e0 != e3,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_37,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_38,plain,
op(op(e0,e0),e2) = op(e0,op(e0,e2)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_39,plain,
op(op(e1,e2),e0) = op(e1,op(e2,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_40,plain,
op(op(e1,e0),e2) = op(e1,op(e0,e2)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_41,plain,
op(op(e1,e1),e1) = op(e1,op(e1,e1)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_42,plain,
op(op(e0,e1),e2) = op(e0,op(e1,e2)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_43,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_44,plain,
op(e0,e2) != op(e1,e2),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_45,plain,
op(e1,e0) != op(e2,e0),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_46,plain,
op(e2,e2) != op(e2,e3),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_47,plain,
( ~ definitionFOFtoCNF_2
<=> ( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_48,plain,
( ( ~ definitionFOFtoCNF_2
| op(e0,e0) = e2 )
& ( ~ definitionFOFtoCNF_2
| op(e1,e1) = e2 )
& ( ~ definitionFOFtoCNF_2
| op(e2,e2) = e2 )
& ( ~ definitionFOFtoCNF_2
| op(e3,e3) = e2 )
& ( op(e0,e0) != e2
| op(e1,e1) != e2
| op(e2,e2) != e2
| op(e3,e3) != e2
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
( ~ definitionFOFtoCNF_2
| op(e2,e2) = e2 ),
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(canonicalize,[],[ax11]) ).
fof(normalize_0_51,plain,
( definitionFOFtoCNF_0
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(simplify,[],[normalize_0_50,normalize_0_4,normalize_0_3]) ).
fof(normalize_0_52,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(simplify,[],[normalize_0_51,normalize_0_47]) ).
fof(normalize_0_53,plain,
( ( op(e0,e0) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op(e1,e1) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op(e2,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op(e3,e3) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_52]) ).
fof(normalize_0_54,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_53]) ).
fof(normalize_0_55,plain,
( op(e2,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_53]) ).
fof(normalize_0_56,plain,
( e1 != op(e0,e2)
| e3 != op(e2,e2) ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_0_57,plain,
op(op(e0,e1),e1) = op(e0,op(e1,e1)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_58,plain,
( op(e1,e1) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_53]) ).
fof(normalize_0_59,plain,
op(unit,e1) = e1,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_60,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_61,plain,
op(e0,e1) != op(e0,e3),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_62,plain,
op(op(e2,e2),e1) = op(e2,op(e2,e1)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_63,plain,
op(e2,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_64,plain,
e1 != e2,
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_65,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_66,plain,
op(e0,e1) != op(e3,e1),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_67,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_68,plain,
op(e0,e2) != op(e3,e2),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_69,plain,
op(e0,e3) != op(e2,e3),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_70,plain,
op(op(e0,e0),e3) = op(e0,op(e0,e3)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_71,plain,
( ~ definitionFOFtoCNF_2
| op(e0,e0) = e2 ),
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_72,plain,
( e1 != op(e0,e3)
| e2 != op(e3,e3) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_0_73,plain,
( ~ definitionFOFtoCNF_2
| op(e3,e3) = e2 ),
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_74,plain,
op(e0,e3) != op(e3,e3),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_75,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_76,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_77,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e2,e2) = e1 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_78,plain,
op(e0,e0) != op(e0,e1),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_79,plain,
op(e0,e0) != op(e0,e2),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_80,plain,
( e1 != op(e2,e2)
| e3 != op(e0,e2) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_0_81,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_82,plain,
( e1 != op(e0,e0)
| e3 != op(e2,e0) ),
inference(canonicalize,[],[ax23]) ).
cnf(refute_0_0,plain,
op(op(e0,e2),e0) = op(e0,op(e2,e0)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e0,e0) = e1 ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( e0 != op(e2,e2)
| e3 != op(e1,e2) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( op(e2,e2) = e0
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( e0 != e0
| op(e2,e2) != e0
| e0 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,op(e2,e2)) ),[1],$fot(e0)]]) ).
cnf(refute_0_5,plain,
( e0 != e0
| e0 = op(e2,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( e0 != e0
| e3 != op(e1,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,op(e2,e2)) )],[refute_0_5,refute_0_2]) ).
cnf(refute_0_7,plain,
e0 = e0,
introduced(tautology,[refl,[$fot(e0)]]) ).
cnf(refute_0_8,plain,
( e3 != op(e1,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
op(e1,e0) != op(e1,e2),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
op(e1,unit) = e1,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( op(e0,e0) = e0
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
op(inv(e0),e0) = unit,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
op(op(e1,e1),e0) = op(e1,op(e1,e0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
( op(e1,e1) = e0
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( op(e1,e1) != e0
| op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(e0,e0) = op(e1,op(e1,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),e0),op(e1,op(e1,e0))) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_16,plain,
( op(op(e1,e1),e0) != op(e1,op(e1,e0))
| op(e0,e0) = op(e1,op(e1,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( op(e0,e0) = op(e1,op(e1,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e0),op(e1,op(e1,e0))) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
( op(e0,e0) != e0
| op(e0,e0) != op(e1,op(e1,e0))
| e0 = op(e1,op(e1,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),op(e1,op(e1,e0))) ),[0],$fot(e0)]]) ).
cnf(refute_0_19,plain,
( op(e0,e0) != op(e1,op(e1,e0))
| e0 = op(e1,op(e1,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_11,refute_0_18]) ).
cnf(refute_0_20,plain,
( e0 = op(e1,op(e1,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,op(e1,e0))) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
op(op(e2,e0),e0) = op(e2,op(e0,e0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_22,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_23,plain,
( op(e2,e2) != e0
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e0,e2) = op(e2,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_24,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e0,e2) = op(e2,op(e2,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_3,refute_0_23]) ).
cnf(refute_0_25,plain,
( op(e0,e2) = op(e2,op(e2,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
( op(e0,e2) != op(e2,op(e2,e2))
| op(e2,e2) != e0
| op(e0,e2) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),op(e2,op(e2,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_27,plain,
( op(e0,e2) != op(e2,op(e2,e2))
| op(e0,e2) = op(e2,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_3,refute_0_26]) ).
cnf(refute_0_28,plain,
( op(e0,e2) = op(e2,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,op(e2,e2))) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_30,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_31,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( op(e0,e2) != op(e2,e0)
| op(e2,e0) = op(e0,e2) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(op(e2,e0)))]]) ).
cnf(refute_0_33,plain,
( op(e2,e0) = op(e0,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e2,e0)) )],[refute_0_28,refute_0_32]) ).
cnf(refute_0_34,plain,
( op(e2,e0) != op(e0,e2)
| op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e2),e0) = op(e2,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e0),e0),op(e2,op(e0,e0))) ),[0,0],$fot(op(e0,e2))]]) ).
cnf(refute_0_35,plain,
( op(op(e2,e0),e0) != op(e2,op(e0,e0))
| op(op(e0,e2),e0) = op(e2,op(e0,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( op(op(e0,e2),e0) = op(e2,op(e0,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e0),e0),op(e2,op(e0,e0))) )],[refute_0_21,refute_0_35]) ).
cnf(refute_0_37,plain,
( op(op(e0,e2),e0) != op(e0,op(e2,e0))
| op(op(e0,e2),e0) != op(e2,op(e0,e0))
| op(e0,op(e2,e0)) = op(e2,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e0),op(e2,op(e0,e0))) ),[0],$fot(op(e0,op(e2,e0)))]]) ).
cnf(refute_0_38,plain,
( op(op(e0,e2),e0) != op(e2,op(e0,e0))
| op(e0,op(e2,e0)) = op(e2,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(e0,op(e2,e0))) )],[refute_0_0,refute_0_37]) ).
cnf(refute_0_39,plain,
( op(e0,op(e2,e0)) = op(e2,op(e0,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(e2,op(e0,e0))) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
( op(e0,e0) != e0
| op(e0,op(e2,e0)) != op(e2,op(e0,e0))
| op(e0,op(e2,e0)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),op(e2,op(e0,e0))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_41,plain,
( op(e0,op(e2,e0)) != op(e2,op(e0,e0))
| op(e0,op(e2,e0)) = op(e2,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_11,refute_0_40]) ).
cnf(refute_0_42,plain,
( op(e0,op(e2,e0)) = op(e2,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e2,op(e0,e0))) )],[refute_0_39,refute_0_41]) ).
cnf(refute_0_43,plain,
( op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,e0) != op(e0,e2)
| op(e0,op(e0,e2)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),op(e2,e0)) ),[0,1],$fot(op(e0,e2))]]) ).
cnf(refute_0_44,plain,
( op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e0,e2)) = op(e2,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_0_33,refute_0_43]) ).
cnf(refute_0_45,plain,
( op(e0,op(e0,e2)) = op(e2,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e2,e0)) )],[refute_0_42,refute_0_44]) ).
cnf(refute_0_46,plain,
( op(e0,op(e2,e0)) != op(e2,e0)
| op(e2,e0) != op(e0,e2)
| op(e0,op(e2,e0)) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,op(e2,e0)),op(e0,e2)) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_0_47,plain,
( op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e2,e0)) = op(e0,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_0_33,refute_0_46]) ).
cnf(refute_0_48,plain,
( op(e0,op(e2,e0)) = op(e0,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e2,e0)) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
op(op(e2,e2),e0) = op(e2,op(e2,e0)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_50,plain,
( op(e2,e2) != e0
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(e0,e0) = op(e2,op(e2,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_51,plain,
( op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(e0,e0) = op(e2,op(e2,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e0) )],[refute_0_3,refute_0_50]) ).
cnf(refute_0_52,plain,
( op(e0,e0) = op(e2,op(e2,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_54,plain,
( op(e0,e0) != op(e2,op(e2,e0))
| op(e2,e0) != e0
| op(e0,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),op(e2,op(e2,e0))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_55,plain,
( op(e0,e0) != op(e2,op(e2,e0))
| op(e0,e0) = op(e2,e0)
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( op(e0,e0) = op(e2,e0)
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,op(e2,e0))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
op(e0,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_58,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,e0)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( op(e0,op(e2,e0)) != op(e0,e2)
| op(e2,e0) != e1
| op(e0,e1) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,e2)) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_60,plain,
( op(e0,op(e2,e0)) != op(e0,e2)
| op(e0,e1) = op(e0,e2)
| op(e2,e0) = e2
| op(e2,e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( op(e0,e1) = op(e0,e2)
| op(e2,e0) = e2
| op(e2,e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,e2)) )],[refute_0_48,refute_0_60]) ).
cnf(refute_0_62,plain,
op(e0,e1) != op(e0,e2),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_63,plain,
( op(e2,e0) = e2
| op(e2,e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e2)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( op(e0,op(e2,e0)) != op(e0,e2)
| op(e2,e0) != e3
| op(e0,e3) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,e2)) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_65,plain,
( op(e0,op(e2,e0)) != op(e0,e2)
| op(e0,e3) = op(e0,e2)
| op(e2,e0) = e2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( op(e0,e3) = op(e0,e2)
| op(e2,e0) = e2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,e2)) )],[refute_0_48,refute_0_65]) ).
cnf(refute_0_67,plain,
op(e0,e2) != op(e0,e3),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_68,plain,
( op(e0,e3) != op(e0,e2)
| op(e0,e2) = op(e0,e3) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e3))),bind(Y,$fot(op(e0,e2)))]]) ).
cnf(refute_0_69,plain,
op(e0,e3) != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_0_68,refute_0_67]) ).
cnf(refute_0_70,plain,
( op(e2,e0) = e2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e0,e2)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
( op(e0,op(e0,e2)) != op(e2,e0)
| op(e2,e0) != e2
| op(e0,op(e0,e2)) = e2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,op(e0,e2)),e2) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_0_72,plain,
( op(e0,op(e0,e2)) != op(e2,e0)
| op(e0,op(e0,e2)) = e2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( op(e0,op(e0,e2)) = e2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),op(e2,e0)) )],[refute_0_45,refute_0_72]) ).
cnf(refute_0_74,plain,
op(e0,inv(e0)) = unit,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_75,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e2
| inv(e0) = e3 ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_76,plain,
( inv(e0) != e2
| op(e0,inv(e0)) != unit
| op(e0,e2) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,inv(e0)),unit) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_77,plain,
( op(e0,inv(e0)) != unit
| inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e3
| op(e0,e2) = unit ),
inference(resolve,[$cnf( $equal(inv(e0),e2) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e3
| op(e0,e2) = unit ),
inference(resolve,[$cnf( $equal(op(e0,inv(e0)),unit) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( op(e0,e2) != unit
| op(e0,op(e0,e2)) != e2
| op(e0,unit) = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),e2) ),[0,1],$fot(unit)]]) ).
cnf(refute_0_80,plain,
( op(e0,op(e0,e2)) != e2
| inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e3
| op(e0,unit) = e2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),unit) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e3
| op(e0,unit) = e2
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),e2) )],[refute_0_73,refute_0_80]) ).
cnf(refute_0_82,plain,
op(e0,unit) = e0,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_83,plain,
( op(e0,unit) != e0
| op(e0,unit) != e2
| e0 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e2) ),[0],$fot(e0)]]) ).
cnf(refute_0_84,plain,
( op(e0,unit) != e2
| e0 = e2 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( e0 = e2
| inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e2) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
e0 != e2,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_87,plain,
( inv(e0) = e0
| inv(e0) = e1
| inv(e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( inv(e0) != e1
| op(inv(e0),e0) != unit
| op(e1,e0) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op(inv(e0),e0),unit) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_89,plain,
( op(inv(e0),e0) != unit
| inv(e0) = e0
| inv(e0) = e3
| op(e1,e0) = unit
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(inv(e0),e1) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( inv(e0) = e0
| inv(e0) = e3
| op(e1,e0) = unit
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(inv(e0),e0),unit) )],[refute_0_12,refute_0_89]) ).
cnf(refute_0_91,plain,
( e0 != op(e1,op(e1,e0))
| op(e1,e0) != unit
| e0 = op(e1,unit) ),
introduced(tautology,[equality,[$cnf( $equal(e0,op(e1,op(e1,e0))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_92,plain,
( e0 != op(e1,op(e1,e0))
| e0 = op(e1,unit)
| inv(e0) = e0
| inv(e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),unit) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( e0 = op(e1,unit)
| inv(e0) = e0
| inv(e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,op(e1,op(e1,e0))) )],[refute_0_20,refute_0_92]) ).
cnf(refute_0_94,plain,
( e0 != op(e1,unit)
| op(e1,unit) != e1
| e0 = e1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e1) ),[0],$fot(op(e1,unit))]]) ).
cnf(refute_0_95,plain,
( e0 != op(e1,unit)
| e0 = e1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_0_10,refute_0_94]) ).
cnf(refute_0_96,plain,
( e0 = e1
| inv(e0) = e0
| inv(e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,op(e1,unit)) )],[refute_0_93,refute_0_95]) ).
cnf(refute_0_97,plain,
e0 != e1,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_98,plain,
( inv(e0) = e0
| inv(e0) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( inv(e0) != e0
| op(inv(e0),e0) != unit
| op(e0,e0) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op(inv(e0),e0),unit) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_100,plain,
( op(inv(e0),e0) != unit
| inv(e0) = e3
| op(e0,e0) = unit
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(inv(e0),e0) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( inv(e0) = e3
| op(e0,e0) = unit
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(inv(e0),e0),unit) )],[refute_0_12,refute_0_100]) ).
cnf(refute_0_102,plain,
( op(e0,e0) != e0
| op(e0,e0) != unit
| unit = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e0) ),[0],$fot(unit)]]) ).
cnf(refute_0_103,plain,
( op(e0,e0) != e0
| inv(e0) = e3
| unit = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),unit) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( inv(e0) = e3
| unit = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_11,refute_0_103]) ).
cnf(refute_0_105,plain,
op(op(e3,e3),e0) = op(e3,op(e3,e0)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_106,plain,
( op(e3,e3) = e0
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_107,plain,
( op(e3,e3) != e0
| op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(e0,e0) = op(e3,op(e3,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e3,e3),e0),op(e3,op(e3,e0))) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_108,plain,
( op(op(e3,e3),e0) != op(e3,op(e3,e0))
| op(e0,e0) = op(e3,op(e3,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e0) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( op(e0,e0) = op(e3,op(e3,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e3,e3),e0),op(e3,op(e3,e0))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( op(e0,e0) != e0
| op(e0,e0) != op(e3,op(e3,e0))
| e0 = op(e3,op(e3,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),op(e3,op(e3,e0))) ),[0],$fot(e0)]]) ).
cnf(refute_0_111,plain,
( op(e0,e0) != op(e3,op(e3,e0))
| e0 = op(e3,op(e3,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e0) )],[refute_0_11,refute_0_110]) ).
cnf(refute_0_112,plain,
( e0 = op(e3,op(e3,e0))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e3,op(e3,e0))) )],[refute_0_109,refute_0_111]) ).
cnf(refute_0_113,plain,
( inv(e0) != e3
| op(inv(e0),e0) != unit
| op(e3,e0) = unit ),
introduced(tautology,[equality,[$cnf( $equal(op(inv(e0),e0),unit) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_114,plain,
( op(inv(e0),e0) != unit
| inv(e0) = e0
| op(e3,e0) = unit
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(inv(e0),e3) )],[refute_0_98,refute_0_113]) ).
cnf(refute_0_115,plain,
( inv(e0) = e0
| op(e3,e0) = unit
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(inv(e0),e0),unit) )],[refute_0_12,refute_0_114]) ).
cnf(refute_0_116,plain,
( e0 != op(e3,op(e3,e0))
| op(e3,e0) != unit
| e0 = op(e3,unit) ),
introduced(tautology,[equality,[$cnf( $equal(e0,op(e3,op(e3,e0))) ),[1,1],$fot(unit)]]) ).
cnf(refute_0_117,plain,
( e0 != op(e3,op(e3,e0))
| e0 = op(e3,unit)
| inv(e0) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e3,e0),unit) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( e0 = op(e3,unit)
| inv(e0) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,op(e3,op(e3,e0))) )],[refute_0_112,refute_0_117]) ).
cnf(refute_0_119,plain,
op(e3,unit) = e3,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_120,plain,
( e0 != op(e3,unit)
| op(e3,unit) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e0,e3) ),[0],$fot(op(e3,unit))]]) ).
cnf(refute_0_121,plain,
( e0 != op(e3,unit)
| e0 = e3 ),
inference(resolve,[$cnf( $equal(op(e3,unit),e3) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( e0 = e3
| inv(e0) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,op(e3,unit)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
e0 != e3,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_124,plain,
( inv(e0) = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( inv(e0) != e0
| inv(e0) != e3
| e0 = e3 ),
introduced(tautology,[equality,[$cnf( $equal(inv(e0),e3) ),[0],$fot(e0)]]) ).
cnf(refute_0_126,plain,
( inv(e0) != e3
| e0 = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(inv(e0),e0) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( e0 = e3
| unit = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(inv(e0),e3) )],[refute_0_104,refute_0_126]) ).
cnf(refute_0_128,plain,
( unit = e0
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e0,e3) )],[refute_0_127,refute_0_123]) ).
cnf(refute_0_129,plain,
( op(e1,unit) != e1
| unit != e0
| op(e1,e0) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,unit),e1) ),[0,1],$fot(e0)]]) ).
cnf(refute_0_130,plain,
( op(e1,unit) != e1
| op(e1,e0) = e1
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( op(e1,e0) = e1
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,unit),e1) )],[refute_0_10,refute_0_130]) ).
cnf(refute_0_132,plain,
( e1 != op(e1,e2)
| op(e1,e0) != e1
| op(e1,e0) = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),e1) ),[1],$fot(op(e1,e2))]]) ).
cnf(refute_0_133,plain,
( e1 != op(e1,e2)
| op(e1,e0) = op(e1,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
( e1 != op(e1,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e1,e2)) )],[refute_0_133,refute_0_9]) ).
cnf(refute_0_135,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_136,plain,
( op(e0,e0) != op(e1,op(e1,e0))
| op(e1,e0) != e1
| op(e0,e0) = op(e1,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),op(e1,op(e1,e0))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_137,plain,
( op(e0,e0) != op(e1,op(e1,e0))
| op(e0,e0) = op(e1,e1)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),e1) )],[refute_0_131,refute_0_136]) ).
cnf(refute_0_138,plain,
( op(e0,e0) = op(e1,e1)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,op(e1,e0))) )],[refute_0_17,refute_0_137]) ).
cnf(refute_0_139,plain,
( op(e0,e0) != op(e1,e1)
| op(e1,e1) = op(e0,e0) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e0))),bind(Y,$fot(op(e1,e1)))]]) ).
cnf(refute_0_140,plain,
( op(e1,e1) = op(e0,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e1,e1)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( op(e1,e1) != op(e0,e0)
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e0),e2) = op(e1,op(e1,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),e2),op(e1,op(e1,e2))) ),[0,0],$fot(op(e0,e0))]]) ).
cnf(refute_0_142,plain,
( op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e0,e0),e2) = op(e1,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),op(e0,e0)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( op(op(e0,e0),e2) = op(e1,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e2),op(e1,op(e1,e2))) )],[refute_0_135,refute_0_142]) ).
cnf(refute_0_144,plain,
op(op(e0,e0),e2) = op(e0,op(e0,e2)),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_145,plain,
( op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(op(e0,e0),e2) != op(e1,op(e1,e2))
| op(e0,op(e0,e2)) = op(e1,op(e1,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e2),op(e1,op(e1,e2))) ),[0],$fot(op(e0,op(e0,e2)))]]) ).
cnf(refute_0_146,plain,
( op(op(e0,e0),e2) != op(e1,op(e1,e2))
| op(e0,op(e0,e2)) = op(e1,op(e1,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e2),op(e0,op(e0,e2))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( op(e0,op(e0,e2)) = op(e1,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e2),op(e1,op(e1,e2))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
( op(e0,op(e0,e2)) != op(e1,op(e1,e2))
| op(e0,op(e0,e2)) != op(e2,e0)
| op(e2,e0) = op(e1,op(e1,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e2)),op(e1,op(e1,e2))) ),[0],$fot(op(e2,e0))]]) ).
cnf(refute_0_149,plain,
( op(e0,op(e0,e2)) != op(e1,op(e1,e2))
| op(e2,e0) = op(e1,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),op(e2,e0)) )],[refute_0_45,refute_0_148]) ).
cnf(refute_0_150,plain,
( op(e2,e0) = op(e1,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e2)),op(e1,op(e1,e2))) )],[refute_0_147,refute_0_149]) ).
cnf(refute_0_151,plain,
op(op(e1,e2),e0) = op(e1,op(e2,e0)),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_152,plain,
( op(e2,e0) != op(e0,e2)
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e0) = op(e1,op(e0,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e0),op(e1,op(e2,e0))) ),[1,1],$fot(op(e0,e2))]]) ).
cnf(refute_0_153,plain,
( op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(op(e1,e2),e0) = op(e1,op(e0,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e0,e2)) )],[refute_0_33,refute_0_152]) ).
cnf(refute_0_154,plain,
( op(op(e1,e2),e0) = op(e1,op(e0,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e0),op(e1,op(e2,e0))) )],[refute_0_151,refute_0_153]) ).
cnf(refute_0_155,plain,
( op(op(e1,e2),e0) != op(e1,op(e0,e2))
| op(op(e1,e2),e0) != op(e1,op(e2,e0))
| op(e1,op(e2,e0)) = op(e1,op(e0,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e2),e0),op(e1,op(e0,e2))) ),[0],$fot(op(e1,op(e2,e0)))]]) ).
cnf(refute_0_156,plain,
( op(op(e1,e2),e0) != op(e1,op(e0,e2))
| op(e1,op(e2,e0)) = op(e1,op(e0,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e0),op(e1,op(e2,e0))) )],[refute_0_151,refute_0_155]) ).
cnf(refute_0_157,plain,
( op(e1,op(e2,e0)) = op(e1,op(e0,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e2),e0),op(e1,op(e0,e2))) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
op(op(e1,e0),e2) = op(e1,op(e0,e2)),
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_159,plain,
op(op(e1,e1),e1) = op(e1,op(e1,e1)),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_160,plain,
( op(e1,e1) != e0
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(e0,e1) = op(e1,op(e1,e1)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e1),e1),op(e1,op(e1,e1))) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_161,plain,
( op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(e0,e1) = op(e1,op(e1,e1))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_14,refute_0_160]) ).
cnf(refute_0_162,plain,
( op(e0,e1) = op(e1,op(e1,e1))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e1),e1),op(e1,op(e1,e1))) )],[refute_0_159,refute_0_161]) ).
cnf(refute_0_163,plain,
( op(e0,e1) != op(e1,op(e1,e1))
| op(e1,e1) != e0
| op(e0,e1) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e1),op(e1,op(e1,e1))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_164,plain,
( op(e0,e1) != op(e1,op(e1,e1))
| op(e0,e1) = op(e1,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e0) )],[refute_0_14,refute_0_163]) ).
cnf(refute_0_165,plain,
( op(e0,e1) = op(e1,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,op(e1,e1))) )],[refute_0_162,refute_0_164]) ).
cnf(refute_0_166,plain,
( op(e0,e1) != op(e1,e0)
| op(e1,e0) = op(e0,e1) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e1))),bind(Y,$fot(op(e1,e0)))]]) ).
cnf(refute_0_167,plain,
( op(e1,e0) = op(e0,e1)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e1,e0)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( op(e1,e0) != op(e0,e1)
| op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e0,e1),e2) = op(e1,op(e0,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e1,e0),e2),op(e1,op(e0,e2))) ),[0,0],$fot(op(e0,e1))]]) ).
cnf(refute_0_169,plain,
( op(op(e1,e0),e2) != op(e1,op(e0,e2))
| op(op(e0,e1),e2) = op(e1,op(e0,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,e1)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( op(op(e0,e1),e2) = op(e1,op(e0,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e1,e0),e2),op(e1,op(e0,e2))) )],[refute_0_158,refute_0_169]) ).
cnf(refute_0_171,plain,
op(op(e0,e1),e2) = op(e0,op(e1,e2)),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_172,plain,
( op(op(e0,e1),e2) != op(e0,op(e1,e2))
| op(op(e0,e1),e2) != op(e1,op(e0,e2))
| op(e0,op(e1,e2)) = op(e1,op(e0,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e2),op(e1,op(e0,e2))) ),[0],$fot(op(e0,op(e1,e2)))]]) ).
cnf(refute_0_173,plain,
( op(op(e0,e1),e2) != op(e1,op(e0,e2))
| op(e0,op(e1,e2)) = op(e1,op(e0,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e2),op(e0,op(e1,e2))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
( op(e0,op(e1,e2)) = op(e1,op(e0,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e2),op(e1,op(e0,e2))) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
( op(e0,op(e1,e2)) != op(e1,op(e0,e2))
| op(e1,op(e0,e2)) = op(e0,op(e1,e2)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,op(e1,e2)))),bind(Y,$fot(op(e1,op(e0,e2))))]]) ).
cnf(refute_0_176,plain,
( op(e1,op(e0,e2)) = op(e0,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e2)),op(e1,op(e0,e2))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
( op(e1,op(e0,e2)) != op(e0,op(e1,e2))
| op(e1,op(e2,e0)) != op(e1,op(e0,e2))
| op(e1,op(e2,e0)) = op(e0,op(e1,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e2,e0)),op(e1,op(e0,e2))) ),[1],$fot(op(e0,op(e1,e2)))]]) ).
cnf(refute_0_178,plain,
( op(e1,op(e2,e0)) != op(e1,op(e0,e2))
| op(e1,op(e2,e0)) = op(e0,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e0,e2)),op(e0,op(e1,e2))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( op(e1,op(e2,e0)) = op(e0,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e0)),op(e1,op(e0,e2))) )],[refute_0_157,refute_0_178]) ).
cnf(refute_0_180,plain,
( op(e1,op(e2,e0)) != op(e0,op(e1,e2))
| op(e2,e0) != e2
| op(e1,e2) = op(e0,op(e1,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,op(e2,e0)),op(e0,op(e1,e2))) ),[0,1],$fot(e2)]]) ).
cnf(refute_0_181,plain,
( op(e1,op(e2,e0)) != op(e0,op(e1,e2))
| op(e1,e2) = op(e0,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_70,refute_0_180]) ).
cnf(refute_0_182,plain,
( op(e1,e2) = op(e0,op(e1,e2))
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,op(e2,e0)),op(e0,op(e1,e2))) )],[refute_0_179,refute_0_181]) ).
cnf(refute_0_183,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_184,plain,
( op(e1,e2) != e2
| op(e1,e2) != op(e0,op(e1,e2))
| op(e1,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e2),op(e0,op(e1,e2))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_185,plain,
( op(e1,e2) != op(e0,op(e1,e2))
| op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e1,e2),e2) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e1,e2) = op(e0,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e0,op(e1,e2))) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
op(e0,e2) != op(e1,e2),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_188,plain,
( op(e1,e2) != op(e0,e2)
| op(e0,e2) = op(e1,e2) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e1,e2))),bind(Y,$fot(op(e0,e2)))]]) ).
cnf(refute_0_189,plain,
op(e1,e2) != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e1,e2)) )],[refute_0_188,refute_0_187]) ).
cnf(refute_0_190,plain,
( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),op(e0,e2)) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( op(e1,e2) != e0
| op(e2,e0) != op(e1,op(e1,e2))
| op(e2,e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e0),op(e1,op(e1,e2))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_192,plain,
( op(e2,e0) != op(e1,op(e1,e2))
| op(e1,e2) = e1
| op(e1,e2) = e3
| op(e2,e0) = op(e1,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e0) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
( op(e1,e2) = e1
| op(e1,e2) = e3
| op(e2,e0) = op(e1,e0)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e1,op(e1,e2))) )],[refute_0_150,refute_0_192]) ).
cnf(refute_0_194,plain,
op(e1,e0) != op(e2,e0),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_195,plain,
( op(e2,e0) != op(e1,e0)
| op(e1,e0) = op(e2,e0) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(op(e1,e0)))]]) ).
cnf(refute_0_196,plain,
op(e2,e0) != op(e1,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_0_195,refute_0_194]) ).
cnf(refute_0_197,plain,
( op(e1,e2) = e1
| op(e1,e2) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e2,e0),op(e1,e0)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( e1 != e1
| op(e1,e2) != e1
| e1 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e1,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_199,plain,
( e1 != e1
| e1 = op(e1,e2)
| op(e1,e2) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e1) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
( e1 != e1
| op(e1,e2) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e1,op(e1,e2)) )],[refute_0_199,refute_0_134]) ).
cnf(refute_0_201,plain,
e1 = e1,
introduced(tautology,[refl,[$fot(e1)]]) ).
cnf(refute_0_202,plain,
( op(e1,e2) = e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_201,refute_0_200]) ).
cnf(refute_0_203,plain,
( e3 != e3
| op(e1,e2) != e3
| e3 = op(e1,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e1,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_204,plain,
( e3 != e3
| e3 = op(e1,e2)
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op(e1,e2),e3) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
( e3 != e3
| definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(e3,op(e1,e2)) )],[refute_0_204,refute_0_8]) ).
cnf(refute_0_206,plain,
e3 = e3,
introduced(tautology,[refl,[$fot(e3)]]) ).
cnf(refute_0_207,plain,
definitionFOFtoCNF_1,
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_206,refute_0_205]) ).
cnf(refute_0_208,plain,
( ~ definitionFOFtoCNF_0
| op(e0,e0) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_207,refute_0_1]) ).
cnf(refute_0_209,plain,
op(e2,e2) != op(e2,e3),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_210,plain,
( ~ definitionFOFtoCNF_2
| op(e2,e2) = e2 ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_211,plain,
( op(e0,e0) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_212,plain,
( op(e0,e0) != e3
| op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(e3,e2) = op(e0,op(e0,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e2),op(e0,op(e0,e2))) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_213,plain,
( op(op(e0,e0),e2) != op(e0,op(e0,e2))
| op(e3,e2) = op(e0,op(e0,e2))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( op(e3,e2) = op(e0,op(e0,e2))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e2),op(e0,op(e0,e2))) )],[refute_0_144,refute_0_213]) ).
cnf(refute_0_215,plain,
( op(e2,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_216,plain,
( op(e2,e2) != e3
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_217,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e2) = op(e2,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
( op(op(e2,e2),e2) = op(e2,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) )],[refute_0_22,refute_0_217]) ).
cnf(refute_0_219,plain,
( op(op(e2,e2),e2) != op(e2,e3)
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(e2,e3)) ),[0],$fot(op(e2,op(e2,e2)))]]) ).
cnf(refute_0_220,plain,
( op(op(e2,e2),e2) != op(e2,e3)
| op(e2,op(e2,e2)) = op(e2,e3) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) )],[refute_0_22,refute_0_219]) ).
cnf(refute_0_221,plain,
( op(e2,op(e2,e2)) = op(e2,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e2,e3)) )],[refute_0_218,refute_0_220]) ).
cnf(refute_0_222,plain,
( op(e2,e2) != e3
| op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e3,e2) = op(e2,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_223,plain,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(e3,e2) = op(e2,op(e2,e2))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_215,refute_0_222]) ).
cnf(refute_0_224,plain,
( op(e3,e2) = op(e2,op(e2,e2))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e2),op(e2,op(e2,e2))) )],[refute_0_22,refute_0_223]) ).
cnf(refute_0_225,plain,
( op(e3,e2) != op(e2,op(e2,e2))
| op(e2,op(e2,e2)) = op(e3,e2) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(op(e2,op(e2,e2))))]]) ).
cnf(refute_0_226,plain,
( op(e2,op(e2,e2)) = op(e3,e2)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e2,op(e2,e2))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
( op(e2,op(e2,e2)) != op(e2,e3)
| op(e2,op(e2,e2)) != op(e3,e2)
| op(e3,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e3)) ),[0],$fot(op(e3,e2))]]) ).
cnf(refute_0_228,plain,
( op(e2,op(e2,e2)) != op(e2,e3)
| op(e3,e2) = op(e2,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e3,e2)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( op(e3,e2) = op(e2,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e2)),op(e2,e3)) )],[refute_0_221,refute_0_228]) ).
cnf(refute_0_230,plain,
( op(e3,e2) != op(e0,op(e0,e2))
| op(e3,e2) != op(e2,e3)
| op(e2,e3) = op(e0,op(e0,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),op(e0,op(e0,e2))) ),[0],$fot(op(e2,e3))]]) ).
cnf(refute_0_231,plain,
( op(e3,e2) != op(e0,op(e0,e2))
| op(e2,e3) = op(e0,op(e0,e2))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e2,e3)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( op(e2,e3) = op(e0,op(e0,e2))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e0,op(e0,e2))) )],[refute_0_214,refute_0_231]) ).
cnf(refute_0_233,plain,
( e1 != op(e0,e2)
| e3 != op(e2,e2) ),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_234,plain,
( e3 != e3
| op(e2,e2) != e3
| e3 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e3,op(e2,e2)) ),[1],$fot(e3)]]) ).
cnf(refute_0_235,plain,
( e3 != e3
| e3 = op(e2,e2)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_215,refute_0_234]) ).
cnf(refute_0_236,plain,
( e1 != op(e0,e2)
| e3 != e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e3,op(e2,e2)) )],[refute_0_235,refute_0_233]) ).
cnf(refute_0_237,plain,
( e1 != op(e0,e2)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e3,e3) )],[refute_0_206,refute_0_236]) ).
cnf(refute_0_238,plain,
op(op(e0,e1),e1) = op(e0,op(e1,e1)),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_239,plain,
( op(e1,e1) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_240,plain,
( op(e1,e1) != e3
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),op(e0,op(e1,e1))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_241,plain,
( op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(op(e0,e1),e1) = op(e0,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e3) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( op(op(e0,e1),e1) = op(e0,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),op(e0,op(e1,e1))) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( op(op(e0,e1),e1) != op(e0,e3)
| op(op(e0,e1),e1) != op(e0,op(e1,e1))
| op(e0,op(e1,e1)) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e1),e1),op(e0,e3)) ),[0],$fot(op(e0,op(e1,e1)))]]) ).
cnf(refute_0_244,plain,
( op(op(e0,e1),e1) != op(e0,e3)
| op(e0,op(e1,e1)) = op(e0,e3) ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),op(e0,op(e1,e1))) )],[refute_0_238,refute_0_243]) ).
cnf(refute_0_245,plain,
( op(e0,op(e1,e1)) = op(e0,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e1),e1),op(e0,e3)) )],[refute_0_242,refute_0_244]) ).
cnf(refute_0_246,plain,
op(unit,e1) = e1,
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_247,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_248,plain,
( op(unit,e1) != e1
| unit != e1
| op(e1,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e1)]]) ).
cnf(refute_0_249,plain,
( op(unit,e1) != e1
| op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( op(e1,e1) = e1
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_0_246,refute_0_249]) ).
cnf(refute_0_251,plain,
( op(e0,op(e1,e1)) != op(e0,e3)
| op(e1,e1) != e1
| op(e0,e1) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e1,e1)),op(e0,e3)) ),[0,1],$fot(e1)]]) ).
cnf(refute_0_252,plain,
( op(e0,op(e1,e1)) != op(e0,e3)
| op(e0,e1) = op(e0,e3)
| unit = e0
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e1,e1),e1) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( op(e0,e1) = op(e0,e3)
| unit = e0
| unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,op(e1,e1)),op(e0,e3)) )],[refute_0_245,refute_0_252]) ).
cnf(refute_0_254,plain,
op(e0,e1) != op(e0,e3),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_255,plain,
( unit = e0
| unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e0,e3)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
op(op(e2,e2),e1) = op(e2,op(e2,e1)),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_257,plain,
( op(e2,e2) != e3
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(e3,e1) = op(e2,op(e2,e1)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e1),op(e2,op(e2,e1))) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_258,plain,
( op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(e3,e1) = op(e2,op(e2,e1))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e3) )],[refute_0_215,refute_0_257]) ).
cnf(refute_0_259,plain,
( op(e3,e1) = op(e2,op(e2,e1))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e1),op(e2,op(e2,e1))) )],[refute_0_256,refute_0_258]) ).
cnf(refute_0_260,plain,
( op(unit,e1) != e1
| unit != e2
| op(e2,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_261,plain,
( op(unit,e1) != e1
| op(e2,e1) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_0_247,refute_0_260]) ).
cnf(refute_0_262,plain,
( op(e2,e1) = e1
| unit = e0
| unit = e1
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_0_246,refute_0_261]) ).
cnf(refute_0_263,plain,
( op(e2,e1) != e1
| op(e3,e1) != op(e2,op(e2,e1))
| op(e3,e1) = op(e2,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),op(e2,op(e2,e1))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_264,plain,
( op(e3,e1) != op(e2,op(e2,e1))
| op(e3,e1) = op(e2,e1)
| unit = e0
| unit = e1
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e1),e1) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( op(e3,e1) = op(e2,e1)
| unit = e0
| unit = e1
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e2,op(e2,e1))) )],[refute_0_259,refute_0_264]) ).
cnf(refute_0_266,plain,
op(e2,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_267,plain,
( op(e3,e1) != op(e2,e1)
| op(e2,e1) = op(e3,e1) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(op(e2,e1)))]]) ).
cnf(refute_0_268,plain,
op(e3,e1) != op(e2,e1),
inference(resolve,[$cnf( $equal(op(e2,e1),op(e3,e1)) )],[refute_0_267,refute_0_266]) ).
cnf(refute_0_269,plain,
( unit = e0
| unit = e1
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e2,e1)) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
( unit != e1
| unit != e2
| e1 = e2 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e2) ),[0],$fot(e1)]]) ).
cnf(refute_0_271,plain,
( unit != e2
| e1 = e2
| unit = e0
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( e1 = e2
| unit = e0
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_0_255,refute_0_271]) ).
cnf(refute_0_273,plain,
e1 != e2,
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_274,plain,
( unit = e0
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e1,e2) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_276,plain,
( op(e0,e0) != e3
| op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(e3,e1) = op(e0,op(e0,e1)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e1),op(e0,op(e0,e1))) ),[0,0],$fot(e3)]]) ).
cnf(refute_0_277,plain,
( op(op(e0,e0),e1) != op(e0,op(e0,e1))
| op(e3,e1) = op(e0,op(e0,e1))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e3) )],[refute_0_211,refute_0_276]) ).
cnf(refute_0_278,plain,
( op(e3,e1) = op(e0,op(e0,e1))
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e1),op(e0,op(e0,e1))) )],[refute_0_275,refute_0_277]) ).
cnf(refute_0_279,plain,
( op(unit,e1) != e1
| unit != e0
| op(e0,e1) = e1 ),
introduced(tautology,[equality,[$cnf( $equal(op(unit,e1),e1) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_280,plain,
( op(unit,e1) != e1
| op(e0,e1) = e1
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_0_247,refute_0_279]) ).
cnf(refute_0_281,plain,
( op(e0,e1) = e1
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(unit,e1),e1) )],[refute_0_246,refute_0_280]) ).
cnf(refute_0_282,plain,
( op(e0,e1) != e1
| op(e3,e1) != op(e0,op(e0,e1))
| op(e3,e1) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e1),op(e0,op(e0,e1))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_283,plain,
( op(e3,e1) != op(e0,op(e0,e1))
| op(e3,e1) = op(e0,e1)
| unit = e1
| unit = e2
| unit = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),e1) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( op(e3,e1) = op(e0,e1)
| unit = e1
| unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e0,op(e0,e1))) )],[refute_0_278,refute_0_283]) ).
cnf(refute_0_285,plain,
op(e0,e1) != op(e3,e1),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_286,plain,
( op(e3,e1) != op(e0,e1)
| op(e0,e1) = op(e3,e1) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e3,e1))),bind(Y,$fot(op(e0,e1)))]]) ).
cnf(refute_0_287,plain,
op(e3,e1) != op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e3,e1)) )],[refute_0_286,refute_0_285]) ).
cnf(refute_0_288,plain,
( unit = e1
| unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e1),op(e0,e1)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( unit != e0
| unit != e1
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e0) ),[0],$fot(e1)]]) ).
cnf(refute_0_290,plain,
( unit != e0
| e1 = e0
| unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e1) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
( e1 = e0
| unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_0_274,refute_0_290]) ).
cnf(refute_0_292,plain,
( e1 != e0
| e0 = e1 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(e1)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_293,plain,
e1 != e0,
inference(resolve,[$cnf( $equal(e0,e1) )],[refute_0_292,refute_0_97]) ).
cnf(refute_0_294,plain,
( unit = e2
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_291,refute_0_293]) ).
cnf(refute_0_295,plain,
( unit != e0
| unit != e2
| e2 = e0 ),
introduced(tautology,[equality,[$cnf( $equal(unit,e0) ),[0],$fot(e2)]]) ).
cnf(refute_0_296,plain,
( unit != e0
| e2 = e0
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e2) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
( e2 = e0
| unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e0) )],[refute_0_274,refute_0_296]) ).
cnf(refute_0_298,plain,
( e2 != e0
| e0 = e2 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(e2)),bind(Y,$fot(e0))]]) ).
cnf(refute_0_299,plain,
e2 != e0,
inference(resolve,[$cnf( $equal(e0,e2) )],[refute_0_298,refute_0_86]) ).
cnf(refute_0_300,plain,
( unit = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e2,e0) )],[refute_0_297,refute_0_299]) ).
cnf(refute_0_301,plain,
( op(e0,unit) != e0
| unit != e3
| op(e0,e3) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,unit),e0) ),[0,1],$fot(e3)]]) ).
cnf(refute_0_302,plain,
( op(e0,unit) != e0
| op(e0,e3) = e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(unit,e3) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
( op(e0,e3) = e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,unit),e0) )],[refute_0_82,refute_0_302]) ).
cnf(refute_0_304,plain,
( op(e0,e2) != e0
| op(e0,e3) != e0
| op(e0,e2) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op(e0,e2),op(e0,e3)) ),[1],$fot(e0)]]) ).
cnf(refute_0_305,plain,
( op(e0,e2) != e0
| op(e0,e2) = op(e0,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
( op(e0,e2) != e0
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e0,e3)) )],[refute_0_305,refute_0_67]) ).
cnf(refute_0_307,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_308,plain,
( op(e0,e2) != e2
| op(e3,e2) != op(e0,op(e0,e2))
| op(e3,e2) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e3,e2),op(e0,op(e0,e2))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_309,plain,
( op(e3,e2) != op(e0,op(e0,e2))
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e3,e2) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e3,e2) = op(e0,e2)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e0,op(e0,e2))) )],[refute_0_214,refute_0_309]) ).
cnf(refute_0_311,plain,
op(e0,e2) != op(e3,e2),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_312,plain,
( op(e3,e2) != op(e0,e2)
| op(e0,e2) = op(e3,e2) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e3,e2))),bind(Y,$fot(op(e0,e2)))]]) ).
cnf(refute_0_313,plain,
op(e3,e2) != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e2),op(e3,e2)) )],[refute_0_312,refute_0_311]) ).
cnf(refute_0_314,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e3,e2),op(e0,e2)) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( e0 != e0
| op(e0,e2) != e0
| op(e0,e2) = e0 ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e2),e0) ),[0,0],$fot(e0)]]) ).
cnf(refute_0_316,plain,
( e0 != e0
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( e0 != e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_316,refute_0_306]) ).
cnf(refute_0_318,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e0,e0) )],[refute_0_7,refute_0_317]) ).
cnf(refute_0_319,plain,
( e1 != e1
| op(e0,e2) != e1
| e1 = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_320,plain,
( e1 != e1
| e1 = op(e0,e2)
| op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( e1 != e1
| op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e2)) )],[refute_0_320,refute_0_237]) ).
cnf(refute_0_322,plain,
( op(e0,e2) = e3
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_201,refute_0_321]) ).
cnf(refute_0_323,plain,
( op(e0,e2) != e3
| op(e2,e3) != op(e0,op(e0,e2))
| op(e2,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),op(e0,op(e0,e2))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_324,plain,
( op(e2,e3) != op(e0,op(e0,e2))
| op(e2,e3) = op(e0,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( op(e2,e3) = op(e0,e3)
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e0,op(e0,e2))) )],[refute_0_232,refute_0_324]) ).
cnf(refute_0_326,plain,
op(e0,e3) != op(e2,e3),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_327,plain,
( op(e2,e3) != op(e0,e3)
| op(e0,e3) = op(e2,e3) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e2,e3))),bind(Y,$fot(op(e0,e3)))]]) ).
cnf(refute_0_328,plain,
op(e2,e3) != op(e0,e3),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e2,e3)) )],[refute_0_327,refute_0_326]) ).
cnf(refute_0_329,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e0,e3)) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
( op(e2,e2) = e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_329,refute_0_210]) ).
cnf(refute_0_331,plain,
( e2 != op(e2,e3)
| op(e2,e2) != e2
| op(e2,e2) = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),e2) ),[1],$fot(op(e2,e3))]]) ).
cnf(refute_0_332,plain,
( e2 != op(e2,e3)
| op(e2,e2) = op(e2,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),e2) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
( e2 != op(e2,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e2,e3)) )],[refute_0_332,refute_0_209]) ).
cnf(refute_0_334,plain,
op(op(e0,e0),e3) = op(e0,op(e0,e3)),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_335,plain,
( ~ definitionFOFtoCNF_2
| op(e0,e0) = e2 ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_336,plain,
( op(e0,e0) = e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_329,refute_0_335]) ).
cnf(refute_0_337,plain,
( op(e0,e0) != e2
| op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(e2,e3) = op(e0,op(e0,e3)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e3),op(e0,op(e0,e3))) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_338,plain,
( op(op(e0,e0),e3) != op(e0,op(e0,e3))
| op(e2,e3) = op(e0,op(e0,e3))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
( op(e2,e3) = op(e0,op(e0,e3))
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e3),op(e0,op(e0,e3))) )],[refute_0_334,refute_0_338]) ).
cnf(refute_0_340,plain,
( e1 != op(e0,e3)
| e2 != op(e3,e3) ),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_341,plain,
( ~ definitionFOFtoCNF_2
| op(e3,e3) = e2 ),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_342,plain,
( op(e3,e3) = e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_329,refute_0_341]) ).
cnf(refute_0_343,plain,
( e2 != e2
| op(e3,e3) != e2
| e2 = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e3,e3)) ),[1],$fot(e2)]]) ).
cnf(refute_0_344,plain,
( e2 != e2
| e2 = op(e3,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e3,e3),e2) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( e1 != op(e0,e3)
| e2 != e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e3)) )],[refute_0_344,refute_0_340]) ).
cnf(refute_0_346,plain,
e2 = e2,
introduced(tautology,[refl,[$fot(e2)]]) ).
cnf(refute_0_347,plain,
( e1 != op(e0,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_346,refute_0_345]) ).
cnf(refute_0_348,plain,
op(e0,e3) != op(e3,e3),
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_349,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 ),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_350,plain,
( e2 != op(e3,e3)
| op(e0,e3) != e2
| op(e0,e3) = op(e3,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e3),e2) ),[1],$fot(op(e3,e3))]]) ).
cnf(refute_0_351,plain,
( e2 != op(e3,e3)
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3
| op(e0,e3) = op(e3,e3) ),
inference(resolve,[$cnf( $equal(op(e0,e3),e2) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( e2 != op(e3,e3)
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e3),op(e3,e3)) )],[refute_0_351,refute_0_348]) ).
cnf(refute_0_353,plain,
( e2 != e2
| op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e2,op(e3,e3)) )],[refute_0_344,refute_0_352]) ).
cnf(refute_0_354,plain,
( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e3
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_346,refute_0_353]) ).
cnf(refute_0_355,plain,
( e1 != e1
| op(e0,e3) != e1
| e1 = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e3)) ),[1],$fot(e1)]]) ).
cnf(refute_0_356,plain,
( e1 != e1
| e1 = op(e0,e3)
| op(e0,e3) = e0
| op(e0,e3) = e3
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e1) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( e1 != e1
| op(e0,e3) = e0
| op(e0,e3) = e3
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e3)) )],[refute_0_356,refute_0_347]) ).
cnf(refute_0_358,plain,
( op(e0,e3) = e0
| op(e0,e3) = e3
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_201,refute_0_357]) ).
cnf(refute_0_359,plain,
( op(e0,e3) != e3
| op(e2,e3) != op(e0,op(e0,e3))
| op(e2,e3) = op(e0,e3) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),op(e0,op(e0,e3))) ),[1,1],$fot(e3)]]) ).
cnf(refute_0_360,plain,
( op(e2,e3) != op(e0,op(e0,e3))
| op(e0,e3) = e0
| op(e2,e3) = op(e0,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e3) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
( op(e0,e3) = e0
| op(e2,e3) = op(e0,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e0,op(e0,e3))) )],[refute_0_339,refute_0_360]) ).
cnf(refute_0_362,plain,
( op(e0,e3) = e0
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e0,e3)) )],[refute_0_361,refute_0_328]) ).
cnf(refute_0_363,plain,
( op(e0,e3) != e0
| op(e2,e3) != op(e0,op(e0,e3))
| op(e2,e3) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e3),op(e0,op(e0,e3))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_364,plain,
( op(e2,e3) != op(e0,op(e0,e3))
| op(e2,e3) = op(e0,e0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e0,e3),e0) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( op(e2,e3) = op(e0,e0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e0,op(e0,e3))) )],[refute_0_339,refute_0_364]) ).
cnf(refute_0_366,plain,
( e2 != op(e0,e0)
| op(e2,e3) != op(e0,e0)
| e2 = op(e2,e3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e2,e3)) ),[1],$fot(op(e0,e0))]]) ).
cnf(refute_0_367,plain,
( e2 != op(e0,e0)
| e2 = op(e2,e3)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e2,e3),op(e0,e0)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
( e2 != op(e0,e0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e2,op(e2,e3)) )],[refute_0_367,refute_0_333]) ).
cnf(refute_0_369,plain,
( e2 != e2
| op(e0,e0) != e2
| e2 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e2,op(e0,e0)) ),[1],$fot(e2)]]) ).
cnf(refute_0_370,plain,
( e2 != e2
| e2 = op(e0,e0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(op(e0,e0),e2) )],[refute_0_336,refute_0_369]) ).
cnf(refute_0_371,plain,
( e2 != e2
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( $equal(e2,op(e0,e0)) )],[refute_0_370,refute_0_368]) ).
cnf(refute_0_372,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( $equal(e2,e2) )],[refute_0_346,refute_0_371]) ).
cnf(refute_0_373,plain,
op(e0,e0) = e1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_372,refute_0_208]) ).
cnf(refute_0_374,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_375,plain,
( op(e0,e2) != e2
| op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(e2,e2) = op(e0,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e2),op(e0,op(e2,e2))) ),[0,0],$fot(e2)]]) ).
cnf(refute_0_376,plain,
( op(op(e0,e2),e2) != op(e0,op(e2,e2))
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e2,e2) = op(e0,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(e0,e2),e2) )],[refute_0_307,refute_0_375]) ).
cnf(refute_0_377,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e2,e2) = op(e0,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e2),op(e0,op(e2,e2))) )],[refute_0_374,refute_0_376]) ).
cnf(refute_0_378,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op(e2,e2) = e1 ),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_379,plain,
( ~ definitionFOFtoCNF_0
| op(e2,e2) = e1 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_207,refute_0_378]) ).
cnf(refute_0_380,plain,
op(e2,e2) = e1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_372,refute_0_379]) ).
cnf(refute_0_381,plain,
( op(e2,e2) != e1
| op(e2,e2) != op(e0,op(e2,e2))
| e1 = op(e0,op(e2,e2)) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,e2),op(e0,op(e2,e2))) ),[0],$fot(e1)]]) ).
cnf(refute_0_382,plain,
( op(e2,e2) != op(e0,op(e2,e2))
| e1 = op(e0,op(e2,e2)) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
op(e0,op(e2,e2)) = op(e0,op(e2,e2)),
introduced(tautology,[refl,[$fot(op(e0,op(e2,e2)))]]) ).
cnf(refute_0_384,plain,
( op(e0,op(e2,e2)) != op(e0,op(e2,e2))
| op(e2,e2) != e1
| op(e0,op(e2,e2)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e2)),op(e0,op(e2,e2))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_385,plain,
( op(e2,e2) != e1
| op(e0,op(e2,e2)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e2)),op(e0,op(e2,e2))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
op(e0,op(e2,e2)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_380,refute_0_385]) ).
cnf(refute_0_387,plain,
( e1 != op(e0,op(e2,e2))
| op(e0,op(e2,e2)) != op(e0,e1)
| e1 = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e1)) ),[0],$fot(op(e0,op(e2,e2)))]]) ).
cnf(refute_0_388,plain,
( e1 != op(e0,op(e2,e2))
| e1 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e2)),op(e0,e1)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( op(e2,e2) != op(e0,op(e2,e2))
| e1 = op(e0,e1) ),
inference(resolve,[$cnf( $equal(e1,op(e0,op(e2,e2))) )],[refute_0_382,refute_0_388]) ).
cnf(refute_0_390,plain,
( e1 = op(e0,e1)
| op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e2),op(e0,op(e2,e2))) )],[refute_0_377,refute_0_389]) ).
cnf(refute_0_391,plain,
op(e0,e0) != op(e0,e1),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_392,plain,
( e1 != op(e0,e1)
| op(e0,e0) != e1
| op(e0,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_393,plain,
( e1 != op(e0,e1)
| op(e0,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_392]) ).
cnf(refute_0_394,plain,
e1 != op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e1)) )],[refute_0_393,refute_0_391]) ).
cnf(refute_0_395,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(e1,op(e0,e1)) )],[refute_0_390,refute_0_394]) ).
cnf(refute_0_396,plain,
op(e0,e0) != op(e0,e2),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_397,plain,
( e1 != op(e0,e2)
| op(e0,e0) != e1
| op(e0,e0) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e0,e2))]]) ).
cnf(refute_0_398,plain,
( e1 != op(e0,e2)
| op(e0,e0) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_397]) ).
cnf(refute_0_399,plain,
e1 != op(e0,e2),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e0,e2)) )],[refute_0_398,refute_0_396]) ).
cnf(refute_0_400,plain,
( op(e0,e2) != e1
| e1 = op(e0,e2) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e1))]]) ).
cnf(refute_0_401,plain,
op(e0,e2) != e1,
inference(resolve,[$cnf( $equal(e1,op(e0,e2)) )],[refute_0_400,refute_0_399]) ).
cnf(refute_0_402,plain,
( op(e0,e2) = e0
| op(e0,e2) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e2),e1) )],[refute_0_395,refute_0_401]) ).
cnf(refute_0_403,plain,
( e1 != op(e2,e2)
| e3 != op(e0,e2) ),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_404,plain,
( e1 != e1
| op(e2,e2) != e1
| e1 = op(e2,e2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e2,e2)) ),[1],$fot(e1)]]) ).
cnf(refute_0_405,plain,
( e1 != e1
| e1 = op(e2,e2) ),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_380,refute_0_404]) ).
cnf(refute_0_406,plain,
( e1 != e1
| e3 != op(e0,e2) ),
inference(resolve,[$cnf( $equal(e1,op(e2,e2)) )],[refute_0_405,refute_0_403]) ).
cnf(refute_0_407,plain,
e3 != op(e0,e2),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_201,refute_0_406]) ).
cnf(refute_0_408,plain,
( op(e0,e2) != e3
| e3 = op(e0,e2) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e2))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_409,plain,
op(e0,e2) != e3,
inference(resolve,[$cnf( $equal(e3,op(e0,e2)) )],[refute_0_408,refute_0_407]) ).
cnf(refute_0_410,plain,
op(e0,e2) = e0,
inference(resolve,[$cnf( $equal(op(e0,e2),e3) )],[refute_0_402,refute_0_409]) ).
cnf(refute_0_411,plain,
op(op(e0,e2),e0) = op(op(e0,e2),e0),
introduced(tautology,[refl,[$fot(op(op(e0,e2),e0))]]) ).
cnf(refute_0_412,plain,
( op(e0,e2) != e0
| op(op(e0,e2),e0) != op(op(e0,e2),e0)
| op(op(e0,e2),e0) = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e0),op(op(e0,e2),e0)) ),[1,0],$fot(e0)]]) ).
cnf(refute_0_413,plain,
( op(e0,e2) != e0
| op(op(e0,e2),e0) = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(op(e0,e2),e0)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
op(op(e0,e2),e0) = op(e0,e0),
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_416,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_31,refute_0_415]) ).
cnf(refute_0_417,plain,
( op(e0,e0) != e1
| op(op(e0,e2),e0) != op(e0,e0)
| op(op(e0,e2),e0) = e1 ),
inference(subst,[],[refute_0_416:[bind(X,$fot(op(op(e0,e2),e0))),bind(Y,$fot(op(e0,e0))),bind(Z,$fot(e1))]]) ).
cnf(refute_0_418,plain,
( op(e0,e0) != e1
| op(op(e0,e2),e0) = e1 ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(e0,e0)) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
op(op(e0,e2),e0) = e1,
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_418]) ).
cnf(refute_0_420,plain,
( op(op(e0,e2),e0) != e1
| op(op(e0,e2),e0) != op(e0,op(e2,e0))
| e1 = op(e0,op(e2,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e2),e0),op(e0,op(e2,e0))) ),[0],$fot(e1)]]) ).
cnf(refute_0_421,plain,
( op(op(e0,e2),e0) != op(e0,op(e2,e0))
| e1 = op(e0,op(e2,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),e1) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( op(e2,e0) != e0
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(op(e2,e2),e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) ),[1,1],$fot(e0)]]) ).
cnf(refute_0_423,plain,
( op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(op(e2,e2),e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,e0),e0) )],[refute_0_53,refute_0_422]) ).
cnf(refute_0_424,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(op(e2,e2),e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) )],[refute_0_49,refute_0_423]) ).
cnf(refute_0_425,plain,
( op(op(e2,e2),e0) != op(e2,e0)
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(e2,op(e2,e0)) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e0),op(e2,e0)) ),[0],$fot(op(e2,op(e2,e0)))]]) ).
cnf(refute_0_426,plain,
( op(op(e2,e2),e0) != op(e2,e0)
| op(e2,op(e2,e0)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) )],[refute_0_49,refute_0_425]) ).
cnf(refute_0_427,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,op(e2,e0)) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e2,e0)) )],[refute_0_424,refute_0_426]) ).
cnf(refute_0_428,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_429,plain,
op(op(e0,e0),e0) = op(op(e0,e0),e0),
introduced(tautology,[refl,[$fot(op(op(e0,e0),e0))]]) ).
cnf(refute_0_430,plain,
( op(e0,e0) != e1
| op(op(e0,e0),e0) != op(op(e0,e0),e0)
| op(op(e0,e0),e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_431,plain,
( op(e0,e0) != e1
| op(op(e0,e0),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(op(e0,e0),e0)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
op(op(e0,e0),e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_431]) ).
cnf(refute_0_433,plain,
( op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(op(e0,e0),e0) != op(e1,e0)
| op(e1,e0) = op(e0,op(e0,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e0,e0),e0),op(e0,op(e0,e0))) ),[0],$fot(op(e1,e0))]]) ).
cnf(refute_0_434,plain,
( op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(e1,e0) = op(e0,op(e0,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e1,e0)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
op(e0,op(e0,e0)) = op(e0,op(e0,e0)),
introduced(tautology,[refl,[$fot(op(e0,op(e0,e0)))]]) ).
cnf(refute_0_436,plain,
( op(e0,e0) != e1
| op(e0,op(e0,e0)) != op(e0,op(e0,e0))
| op(e0,op(e0,e0)) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e0,e0)),op(e0,op(e0,e0))) ),[1,1],$fot(e1)]]) ).
cnf(refute_0_437,plain,
( op(e0,e0) != e1
| op(e0,op(e0,e0)) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e0)),op(e0,op(e0,e0))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
op(e0,op(e0,e0)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_437]) ).
cnf(refute_0_439,plain,
( op(e0,op(e0,e0)) != op(e0,e1)
| op(e1,e0) != op(e0,op(e0,e0))
| op(e1,e0) = op(e0,e1) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),op(e0,op(e0,e0))) ),[1],$fot(op(e0,e1))]]) ).
cnf(refute_0_440,plain,
( op(e1,e0) != op(e0,op(e0,e0))
| op(e1,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e0,op(e0,e0)),op(e0,e1)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
( op(op(e0,e0),e0) != op(e0,op(e0,e0))
| op(e1,e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,op(e0,e0))) )],[refute_0_434,refute_0_440]) ).
cnf(refute_0_442,plain,
op(e1,e0) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(op(e0,e0),e0),op(e0,op(e0,e0))) )],[refute_0_428,refute_0_441]) ).
cnf(refute_0_443,plain,
op(op(e2,e2),e0) = op(op(e2,e2),e0),
introduced(tautology,[refl,[$fot(op(op(e2,e2),e0))]]) ).
cnf(refute_0_444,plain,
( op(e2,e2) != e1
| op(op(e2,e2),e0) != op(op(e2,e2),e0)
| op(op(e2,e2),e0) = op(e1,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e0),op(op(e2,e2),e0)) ),[1,0],$fot(e1)]]) ).
cnf(refute_0_445,plain,
( op(e2,e2) != e1
| op(op(e2,e2),e0) = op(e1,e0) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(op(e2,e2),e0)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
op(op(e2,e2),e0) = op(e1,e0),
inference(resolve,[$cnf( $equal(op(e2,e2),e1) )],[refute_0_380,refute_0_445]) ).
cnf(refute_0_447,plain,
( op(e1,e0) != op(e0,e1)
| op(op(e2,e2),e0) != op(e1,e0)
| op(op(e2,e2),e0) = op(e0,e1) ),
inference(subst,[],[refute_0_416:[bind(X,$fot(op(op(e2,e2),e0))),bind(Y,$fot(op(e1,e0))),bind(Z,$fot(op(e0,e1)))]]) ).
cnf(refute_0_448,plain,
( op(e1,e0) != op(e0,e1)
| op(op(e2,e2),e0) = op(e0,e1) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e1,e0)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
op(op(e2,e2),e0) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,e1)) )],[refute_0_442,refute_0_448]) ).
cnf(refute_0_450,plain,
( op(op(e2,e2),e0) != op(e0,e1)
| op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(e0,e1) = op(e2,op(e2,e0)) ),
introduced(tautology,[equality,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_451,plain,
( op(op(e2,e2),e0) != op(e2,op(e2,e0))
| op(e0,e1) = op(e2,op(e2,e0)) ),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e0,e1)) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
op(e0,e1) = op(e2,op(e2,e0)),
inference(resolve,[$cnf( $equal(op(op(e2,e2),e0),op(e2,op(e2,e0))) )],[refute_0_49,refute_0_451]) ).
cnf(refute_0_453,plain,
( op(e0,e1) != op(e2,op(e2,e0))
| op(e2,op(e2,e0)) = op(e0,e1) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e0,e1))),bind(Y,$fot(op(e2,op(e2,e0))))]]) ).
cnf(refute_0_454,plain,
op(e2,op(e2,e0)) = op(e0,e1),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,op(e2,e0))) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
( op(e2,op(e2,e0)) != op(e0,e1)
| op(e2,op(e2,e0)) != op(e2,e0)
| op(e0,e1) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e2,op(e2,e0)),op(e2,e0)) ),[0],$fot(op(e0,e1))]]) ).
cnf(refute_0_456,plain,
( op(e2,op(e2,e0)) != op(e2,e0)
| op(e0,e1) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),op(e0,e1)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( op(e0,e1) = op(e2,e0)
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,op(e2,e0)),op(e2,e0)) )],[refute_0_427,refute_0_456]) ).
cnf(refute_0_458,plain,
( op(e0,e1) != op(e2,e0)
| op(e1,e0) != op(e0,e1)
| op(e1,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e1,e0),op(e0,e1)) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_459,plain,
( op(e0,e1) != op(e2,e0)
| op(e1,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e0,e1)) )],[refute_0_442,refute_0_458]) ).
cnf(refute_0_460,plain,
op(e0,e1) != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e1,e0),op(e2,e0)) )],[refute_0_459,refute_0_194]) ).
cnf(refute_0_461,plain,
( op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e0,e1),op(e2,e0)) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
( e1 != op(e2,e0)
| op(e0,e0) != e1
| op(e0,e0) = op(e2,e0) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,e0),e1) ),[1],$fot(op(e2,e0))]]) ).
cnf(refute_0_463,plain,
( e1 != op(e2,e0)
| op(e0,e0) = op(e2,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_462]) ).
cnf(refute_0_464,plain,
e1 != op(e2,e0),
inference(resolve,[$cnf( $equal(op(e0,e0),op(e2,e0)) )],[refute_0_463,refute_0_57]) ).
cnf(refute_0_465,plain,
( op(e2,e0) != e1
| e1 = op(e2,e0) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e1))]]) ).
cnf(refute_0_466,plain,
op(e2,e0) != e1,
inference(resolve,[$cnf( $equal(e1,op(e2,e0)) )],[refute_0_465,refute_0_464]) ).
cnf(refute_0_467,plain,
( op(e2,e0) = e2
| op(e2,e0) = e3 ),
inference(resolve,[$cnf( $equal(op(e2,e0),e1) )],[refute_0_461,refute_0_466]) ).
cnf(refute_0_468,plain,
( e1 != op(e0,e0)
| e3 != op(e2,e0) ),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_469,plain,
( e1 != e1
| op(e0,e0) != e1
| e1 = op(e0,e0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,op(e0,e0)) ),[1],$fot(e1)]]) ).
cnf(refute_0_470,plain,
( e1 != e1
| e1 = op(e0,e0) ),
inference(resolve,[$cnf( $equal(op(e0,e0),e1) )],[refute_0_373,refute_0_469]) ).
cnf(refute_0_471,plain,
( e1 != e1
| e3 != op(e2,e0) ),
inference(resolve,[$cnf( $equal(e1,op(e0,e0)) )],[refute_0_470,refute_0_468]) ).
cnf(refute_0_472,plain,
e3 != op(e2,e0),
inference(resolve,[$cnf( $equal(e1,e1) )],[refute_0_201,refute_0_471]) ).
cnf(refute_0_473,plain,
( op(e2,e0) != e3
| e3 = op(e2,e0) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(op(e2,e0))),bind(Y,$fot(e3))]]) ).
cnf(refute_0_474,plain,
op(e2,e0) != e3,
inference(resolve,[$cnf( $equal(e3,op(e2,e0)) )],[refute_0_473,refute_0_472]) ).
cnf(refute_0_475,plain,
op(e2,e0) = e2,
inference(resolve,[$cnf( $equal(op(e2,e0),e3) )],[refute_0_467,refute_0_474]) ).
cnf(refute_0_476,plain,
op(e0,op(e2,e0)) = op(e0,op(e2,e0)),
introduced(tautology,[refl,[$fot(op(e0,op(e2,e0)))]]) ).
cnf(refute_0_477,plain,
( op(e0,op(e2,e0)) != op(e0,op(e2,e0))
| op(e2,e0) != e2
| op(e0,op(e2,e0)) = op(e0,e2) ),
introduced(tautology,[equality,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,op(e2,e0))) ),[1,1],$fot(e2)]]) ).
cnf(refute_0_478,plain,
( op(e2,e0) != e2
| op(e0,op(e2,e0)) = op(e0,e2) ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,op(e2,e0))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
op(e0,op(e2,e0)) = op(e0,e2),
inference(resolve,[$cnf( $equal(op(e2,e0),e2) )],[refute_0_475,refute_0_478]) ).
cnf(refute_0_480,plain,
( op(e0,e2) != e0
| op(e0,op(e2,e0)) != op(e0,e2)
| op(e0,op(e2,e0)) = e0 ),
inference(subst,[],[refute_0_416:[bind(X,$fot(op(e0,op(e2,e0)))),bind(Y,$fot(op(e0,e2))),bind(Z,$fot(e0))]]) ).
cnf(refute_0_481,plain,
( op(e0,e2) != e0
| op(e0,op(e2,e0)) = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),op(e0,e2)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
op(e0,op(e2,e0)) = e0,
inference(resolve,[$cnf( $equal(op(e0,e2),e0) )],[refute_0_410,refute_0_481]) ).
cnf(refute_0_483,plain,
( e1 != op(e0,op(e2,e0))
| op(e0,op(e2,e0)) != e0
| e1 = e0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e1,e0) ),[0],$fot(op(e0,op(e2,e0)))]]) ).
cnf(refute_0_484,plain,
( e1 != op(e0,op(e2,e0))
| e1 = e0 ),
inference(resolve,[$cnf( $equal(op(e0,op(e2,e0)),e0) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( op(op(e0,e2),e0) != op(e0,op(e2,e0))
| e1 = e0 ),
inference(resolve,[$cnf( $equal(e1,op(e0,op(e2,e0))) )],[refute_0_421,refute_0_484]) ).
cnf(refute_0_486,plain,
e1 = e0,
inference(resolve,[$cnf( $equal(op(op(e0,e2),e0),op(e0,op(e2,e0))) )],[refute_0_0,refute_0_485]) ).
cnf(refute_0_487,plain,
$false,
inference(resolve,[$cnf( $equal(e1,e0) )],[refute_0_486,refute_0_293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG023+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 11:28:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.88/9.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.88/9.06
% 8.88/9.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.88/9.09
%------------------------------------------------------------------------------