TSTP Solution File: ALG016+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG016+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:08:57 EDT 2024
% Result : Theorem 1.63s 0.61s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 63
% Syntax : Number of formulae : 471 ( 171 unt; 0 def)
% Number of atoms : 1798 (1290 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 2082 ( 755 ~; 748 |; 529 &)
% ( 38 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 52 ( 50 usr; 51 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f45,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f57,plain,
op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f73,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f74,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f75,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f78,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f81,plain,
op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f85,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f86,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f87,plain,
op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f88,plain,
op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f89,plain,
op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f90,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f91,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f93,plain,
op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f94,plain,
op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f95,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f107,plain,
op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f109,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f135,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f163,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f173,plain,
op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f175,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f187,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f190,plain,
op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f191,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f210,plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f211,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f297,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f301,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f323,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f351,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f352,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f384,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f424,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f425,plain,
e11 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f426,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f427,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f428,plain,
e21 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f429,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f433,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f437,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f438,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f439,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f440,plain,
h3(e11) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f441,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f444,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f445,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f446,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f447,plain,
( pd0_0
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f446]) ).
fof(f448,plain,
( pd0_1
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f446]) ).
fof(f449,plain,
( pd0_2
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f446]) ).
fof(f450,plain,
( pd0_3
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f446]) ).
fof(f451,plain,
( pd0_4
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f446]) ).
fof(f452,plain,
( pd0_5
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f446]) ).
fof(f453,plain,
( pd0_6
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f446]) ).
fof(f454,plain,
( pd0_7
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f446]) ).
fof(f455,plain,
( pd0_8
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f446]) ).
fof(f456,plain,
( pd0_9
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f446]) ).
fof(f457,plain,
( pd0_10
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f446]) ).
fof(f458,plain,
( pd0_11
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f446]) ).
fof(f459,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_0
| pd0_1
| pd0_2
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_3
| pd0_4
| pd0_5
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_6
| pd0_7
| pd0_8
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_9
| pd0_10
| pd0_11
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f446,f458,f457,f456,f455,f454,f453,f452,f451,f450,f449,f448,f447]) ).
fof(f471,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_6
| pd0_7
| pd0_8
| h3(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f506,plain,
( ~ pd0_6
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f453]) ).
fof(f507,plain,
( ~ pd0_6
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f506]) ).
fof(f511,plain,
( ~ pd0_7
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f454]) ).
fof(f513,plain,
( ~ pd0_7
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f516,plain,
( ~ pd0_8
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f455]) ).
fof(f519,plain,
( ~ pd0_8
| h3(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f516]) ).
fof(f549,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( op1(e10,e11) != e10
| spl0_4 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f584,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f586,plain,
( op1(e10,e13) != e13
| spl0_15 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f610,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f611,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( op1(e11,e11) != e13
| spl0_23 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f633,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f634,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f705,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f706,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f709,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f712,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f715,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f45,f705,f708,f711,f714]) ).
fof(f731,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f732,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f733,plain,
( op1(e13,e13) != e10
| spl0_60 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f835,plain,
( spl0_92
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( op2(e20,e22) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( spl0_93
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( spl0_94
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f842,plain,
( op2(e20,e22) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( spl0_95
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f845,plain,
( op2(e20,e22) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f135,f835,f838,f841,f844]) ).
fof(f906,plain,
( spl0_114
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f907,plain,
( op2(e21,e23) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f916,plain,
( spl0_117
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f917,plain,
( op2(e22,e20) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( op2(e22,e20) != e21
| spl0_117 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f1268,plain,
( spl0_214
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1270,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( spl0_215
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1273,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( spl0_216
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1276,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,plain,
( spl0_217
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1279,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_217 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( spl0_218
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1282,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_218 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,plain,
( spl0_219
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1285,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1283]) ).
fof(f1286,plain,
( spl0_220
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1288,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1289,plain,
( spl0_221
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1291,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_221 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,plain,
( spl0_222
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1294,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_222 ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
( spl0_223
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1297,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_223 ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,plain,
( spl0_224
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1300,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_224 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( spl0_225
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1303,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_225 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( spl0_226
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1306,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_226 ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
( spl0_227
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1309,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_227 ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,plain,
( spl0_228
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1312,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_228 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,plain,
( spl0_229
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1315,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_229 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( spl0_230
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1319,plain,
( spl0_231
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1322,plain,
( spl0_232
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1337,plain,
( spl0_236
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1339,plain,
( h3(e13) != e23
| spl0_236 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,plain,
( ~ spl0_214
| ~ spl0_215
| ~ spl0_216
| ~ spl0_217
| ~ spl0_218
| ~ spl0_219
| ~ spl0_220
| ~ spl0_221
| ~ spl0_222
| ~ spl0_223
| ~ spl0_224
| ~ spl0_225
| ~ spl0_226
| ~ spl0_227
| ~ spl0_228
| ~ spl0_229
| spl0_230
| spl0_231
| spl0_232
| ~ spl0_236 ),
inference(split_clause,[status(thm)],[f471,f1268,f1271,f1274,f1277,f1280,f1283,f1286,f1289,f1292,f1295,f1298,f1301,f1304,f1307,f1310,f1313,f1316,f1319,f1322,f1337]) ).
fof(f1510,plain,
( spl0_284
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1512,plain,
( h3(e10) != e20
| spl0_284 ),
inference(component_clause,[status(thm)],[f1510]) ).
fof(f1513,plain,
( ~ spl0_230
| ~ spl0_284 ),
inference(split_clause,[status(thm)],[f507,f1316,f1510]) ).
fof(f1530,plain,
( spl0_289
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1532,plain,
( h3(e11) != e21
| spl0_289 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1533,plain,
( ~ spl0_231
| ~ spl0_289 ),
inference(split_clause,[status(thm)],[f513,f1319,f1530]) ).
fof(f1550,plain,
( spl0_294
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1552,plain,
( h3(e12) != e22
| spl0_294 ),
inference(component_clause,[status(thm)],[f1550]) ).
fof(f1553,plain,
( ~ spl0_232
| ~ spl0_294 ),
inference(split_clause,[status(thm)],[f519,f1322,f1550]) ).
fof(f1606,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f427,f439]) ).
fof(f1607,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f428,f440]) ).
fof(f1608,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f429,f441]) ).
fof(f1613,plain,
( e22 != e22
| spl0_294 ),
inference(forward_demodulation,[status(thm)],[f438,f1552]) ).
fof(f1614,plain,
( $false
| spl0_294 ),
inference(trivial_equality_resolution,[status(esa)],[f1613]) ).
fof(f1615,plain,
spl0_294,
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1620,plain,
( e21 != e21
| spl0_289 ),
inference(forward_demodulation,[status(thm)],[f1607,f1532]) ).
fof(f1621,plain,
( $false
| spl0_289 ),
inference(trivial_equality_resolution,[status(esa)],[f1620]) ).
fof(f1622,plain,
spl0_289,
inference(contradiction_clause,[status(thm)],[f1621]) ).
fof(f1627,plain,
( e20 != e20
| spl0_284 ),
inference(forward_demodulation,[status(thm)],[f1606,f1512]) ).
fof(f1628,plain,
( $false
| spl0_284 ),
inference(trivial_equality_resolution,[status(esa)],[f1627]) ).
fof(f1629,plain,
spl0_284,
inference(contradiction_clause,[status(thm)],[f1628]) ).
fof(f1643,plain,
( e23 != e23
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f1608,f1339]) ).
fof(f1644,plain,
( $false
| spl0_236 ),
inference(trivial_equality_resolution,[status(esa)],[f1643]) ).
fof(f1645,plain,
spl0_236,
inference(contradiction_clause,[status(thm)],[f1644]) ).
fof(f1663,plain,
( h3(op1(e13,e13)) != op2(e23,h3(e13))
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f1608,f1315]) ).
fof(f1664,plain,
( h3(op1(e13,e13)) != op2(e23,e23)
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f1608,f1663]) ).
fof(f1665,plain,
( h3(op1(e13,e13)) != h4(e13)
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f445,f1664]) ).
fof(f1666,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f1608,f1312]) ).
fof(f1667,plain,
( h3(op1(e13,e12)) != op2(e23,e22)
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f438,f1666]) ).
fof(f1668,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f1608,f1309]) ).
fof(f1669,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f1607,f1668]) ).
fof(f1670,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f1608,f1306]) ).
fof(f1671,plain,
( h3(op1(e13,e10)) != op2(e23,e20)
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f1606,f1670]) ).
fof(f1672,plain,
( h3(op1(e12,e13)) != op2(e22,h3(e13))
| spl0_225 ),
inference(forward_demodulation,[status(thm)],[f438,f1303]) ).
fof(f1673,plain,
( h3(op1(e12,e13)) != op2(e22,e23)
| spl0_225 ),
inference(forward_demodulation,[status(thm)],[f1608,f1672]) ).
fof(f1674,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f426,f1300]) ).
fof(f1675,plain,
( e23 != op2(h3(e12),h3(e12))
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f1608,f1674]) ).
fof(f1676,plain,
( e23 != op2(e22,h3(e12))
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f438,f1675]) ).
fof(f1677,plain,
( e23 != op2(e22,e22)
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f438,f1676]) ).
fof(f1678,plain,
( e23 != e23
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f429,f1677]) ).
fof(f1679,plain,
( $false
| spl0_224 ),
inference(trivial_equality_resolution,[status(esa)],[f1678]) ).
fof(f1680,plain,
spl0_224,
inference(contradiction_clause,[status(thm)],[f1679]) ).
fof(f1681,plain,
( h3(op1(e12,e11)) != op2(e22,h3(e11))
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f438,f1297]) ).
fof(f1682,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1607,f1681]) ).
fof(f1683,plain,
( h3(op1(e12,e10)) != op2(e22,h3(e10))
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f438,f1294]) ).
fof(f1684,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f1606,f1683]) ).
fof(f1685,plain,
( h3(op1(e11,e13)) != op2(e21,h3(e13))
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f1607,f1291]) ).
fof(f1686,plain,
( h3(op1(e11,e13)) != op2(e21,e23)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f1608,f1685]) ).
fof(f1687,plain,
( h3(op1(e11,e12)) != op2(e21,h3(e12))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1607,f1288]) ).
fof(f1688,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f438,f1687]) ).
fof(f1689,plain,
( h3(op1(e11,e11)) != op2(e21,h3(e11))
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1607,f1285]) ).
fof(f1690,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1607,f1689]) ).
fof(f1691,plain,
( h3(op1(e11,e11)) != h2(e13)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f437,f1690]) ).
fof(f1692,plain,
( h3(op1(e11,e10)) != op2(e21,h3(e10))
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f1607,f1282]) ).
fof(f1693,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f1606,f1692]) ).
fof(f1694,plain,
( h3(op1(e10,e13)) != op2(e20,h3(e13))
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f1606,f1279]) ).
fof(f1695,plain,
( h3(op1(e10,e13)) != op2(e20,e23)
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f1608,f1694]) ).
fof(f1696,plain,
( h3(op1(e10,e12)) != op2(e20,h3(e12))
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f1606,f1276]) ).
fof(f1697,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f438,f1696]) ).
fof(f1698,plain,
( h3(op1(e10,e11)) != op2(e20,h3(e11))
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1606,f1273]) ).
fof(f1699,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1607,f1698]) ).
fof(f1700,plain,
( h3(op1(e10,e10)) != op2(e20,h3(e10))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1606,f1270]) ).
fof(f1701,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1606,f1700]) ).
fof(f1702,plain,
( h3(op1(e10,e10)) != h1(e13)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f433,f1701]) ).
fof(f1952,plain,
e10 = op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f425,f424]) ).
fof(f1953,plain,
op1(op1(e12,e12),e12) = e11,
inference(backward_demodulation,[status(thm)],[f425,f90]) ).
fof(f1954,plain,
op1(e13,e12) = e11,
inference(forward_demodulation,[status(thm)],[f426,f1953]) ).
fof(f1955,plain,
e11 = op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f426,f425]) ).
fof(f1968,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(backward_demodulation,[status(thm)],[f426,f91]) ).
fof(f1969,plain,
( e10 = op1(e12,op1(e12,e13))
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f732,f1968]) ).
fof(f1970,plain,
( e10 = op1(e12,e11)
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f1955,f1969]) ).
fof(f1971,plain,
op1(e13,e11) = op1(e12,op1(e12,e11)),
inference(backward_demodulation,[status(thm)],[f426,f89]) ).
fof(f1972,plain,
( op1(e13,e11) = op1(e12,e10)
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f1970,f1971]) ).
fof(f1973,plain,
op1(e13,e10) = op1(e12,op1(e12,e10)),
inference(backward_demodulation,[status(thm)],[f426,f88]) ).
fof(f1974,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f426,f74]) ).
fof(f1975,plain,
op1(e10,e12) = op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f1952,f1974]) ).
fof(f1976,plain,
op1(op1(e10,e12),e12) = op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f426,f58]) ).
fof(f1977,plain,
e20 = op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f428,f427]) ).
fof(f1978,plain,
op2(op2(e22,e22),e22) = e21,
inference(backward_demodulation,[status(thm)],[f428,f191]) ).
fof(f1979,plain,
op2(e23,e22) = e21,
inference(forward_demodulation,[status(thm)],[f429,f1978]) ).
fof(f1980,plain,
e21 = op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f429,f428]) ).
fof(f1989,plain,
op2(e20,e22) != e23,
inference(backward_demodulation,[status(thm)],[f429,f351]) ).
fof(f1990,plain,
op2(op2(e23,e22),e22) = op2(e23,e23),
inference(backward_demodulation,[status(thm)],[f429,f207]) ).
fof(f1991,plain,
op2(e21,e22) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f1979,f1990]) ).
fof(f1992,plain,
e20 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f1977,f1991]) ).
fof(f1993,plain,
e20 = h4(e13),
inference(forward_demodulation,[status(thm)],[f445,f1992]) ).
fof(f1994,plain,
op2(e23,e23) = op2(e22,op2(e22,e23)),
inference(backward_demodulation,[status(thm)],[f429,f192]) ).
fof(f1995,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(forward_demodulation,[status(thm)],[f445,f1994]) ).
fof(f1996,plain,
e20 = op2(e22,op2(e22,e23)),
inference(forward_demodulation,[status(thm)],[f1993,f1995]) ).
fof(f1997,plain,
e20 = op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f1980,f1996]) ).
fof(f1998,plain,
op2(e23,e21) = op2(e22,op2(e22,e21)),
inference(backward_demodulation,[status(thm)],[f429,f190]) ).
fof(f1999,plain,
op2(e23,e21) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f1997,f1998]) ).
fof(f2001,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f429,f175]) ).
fof(f2002,plain,
op2(e20,e22) = op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f1977,f2001]) ).
fof(f2003,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f429,f159]) ).
fof(f2043,plain,
op2(op2(e23,e23),e23) = h4(e11),
inference(backward_demodulation,[status(thm)],[f444,f212]) ).
fof(f2044,plain,
op2(h4(e13),e23) = h4(e11),
inference(forward_demodulation,[status(thm)],[f445,f2043]) ).
fof(f2045,plain,
op2(e20,e23) = h4(e11),
inference(forward_demodulation,[status(thm)],[f1993,f2044]) ).
fof(f2046,plain,
h4(e11) = op2(e23,h4(e13)),
inference(backward_demodulation,[status(thm)],[f445,f444]) ).
fof(f2047,plain,
h4(e11) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f1993,f2046]) ).
fof(f2051,plain,
op2(e23,e21) != h4(e13),
inference(backward_demodulation,[status(thm)],[f445,f384]) ).
fof(f2052,plain,
op2(e22,e20) != h4(e13),
inference(forward_demodulation,[status(thm)],[f1999,f2051]) ).
fof(f2053,plain,
op2(e22,e20) != e20,
inference(forward_demodulation,[status(thm)],[f1993,f2052]) ).
fof(f2064,plain,
op2(h4(e13),e22) = op2(e23,op2(e23,e22)),
inference(backward_demodulation,[status(thm)],[f445,f211]) ).
fof(f2065,plain,
op2(e20,e22) = op2(e23,op2(e23,e22)),
inference(forward_demodulation,[status(thm)],[f1993,f2064]) ).
fof(f2066,plain,
op2(e20,e22) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f1979,f2065]) ).
fof(f2067,plain,
op2(e20,e22) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f1999,f2066]) ).
fof(f2068,plain,
op2(h4(e13),e21) = op2(e23,op2(e23,e21)),
inference(backward_demodulation,[status(thm)],[f445,f210]) ).
fof(f2069,plain,
op2(e20,e21) = op2(e23,op2(e23,e21)),
inference(forward_demodulation,[status(thm)],[f1993,f2068]) ).
fof(f2070,plain,
op2(e20,e21) = op2(e23,op2(e22,e20)),
inference(forward_demodulation,[status(thm)],[f1999,f2069]) ).
fof(f2071,plain,
op2(e20,e21) = op2(e23,op2(e20,e22)),
inference(forward_demodulation,[status(thm)],[f2067,f2070]) ).
fof(f2119,plain,
( h3(e11) != op2(e23,e22)
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f1954,f1667]) ).
fof(f2120,plain,
( e21 != op2(e23,e22)
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f1607,f2119]) ).
fof(f2121,plain,
( e21 != e21
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f1979,f2120]) ).
fof(f2122,plain,
( $false
| spl0_228 ),
inference(trivial_equality_resolution,[status(esa)],[f2121]) ).
fof(f2123,plain,
spl0_228,
inference(contradiction_clause,[status(thm)],[f2122]) ).
fof(f2128,plain,
op2(e20,e22) != e21,
inference(forward_demodulation,[status(thm)],[f1979,f352]) ).
fof(f2129,plain,
op2(e21,e23) = op2(e23,op2(e22,e23)),
inference(forward_demodulation,[status(thm)],[f1979,f208]) ).
fof(f2130,plain,
op2(e20,e22) = op2(e23,op2(e22,e23)),
inference(forward_demodulation,[status(thm)],[f2002,f2129]) ).
fof(f2131,plain,
op2(e20,e22) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f1980,f2130]) ).
fof(f2132,plain,
op2(e21,e21) = op2(e23,op2(e22,e21)),
inference(forward_demodulation,[status(thm)],[f1979,f206]) ).
fof(f2133,plain,
op2(e21,e21) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f1997,f2132]) ).
fof(f2134,plain,
op2(e21,e21) = h4(e11),
inference(forward_demodulation,[status(thm)],[f2047,f2133]) ).
fof(f2135,plain,
op2(e21,e20) = op2(e23,op2(e22,e20)),
inference(forward_demodulation,[status(thm)],[f1979,f205]) ).
fof(f2136,plain,
op2(e21,e20) = op2(e23,op2(e20,e22)),
inference(forward_demodulation,[status(thm)],[f2067,f2135]) ).
fof(f2137,plain,
op2(e21,e20) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f2071,f2136]) ).
fof(f2144,plain,
op2(h4(e11),e22) = op2(e20,op2(e23,e22)),
inference(forward_demodulation,[status(thm)],[f2045,f163]) ).
fof(f2145,plain,
op2(h4(e11),e22) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f1979,f2144]) ).
fof(f2181,plain,
( h3(op1(e13,e10)) != h4(e11)
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f2047,f1671]) ).
fof(f2202,plain,
( h3(e11) != op2(e22,e23)
| spl0_225 ),
inference(forward_demodulation,[status(thm)],[f1955,f1673]) ).
fof(f2203,plain,
( e21 != op2(e22,e23)
| spl0_225 ),
inference(forward_demodulation,[status(thm)],[f1607,f2202]) ).
fof(f2204,plain,
( e21 != e21
| spl0_225 ),
inference(forward_demodulation,[status(thm)],[f1980,f2203]) ).
fof(f2205,plain,
( $false
| spl0_225 ),
inference(trivial_equality_resolution,[status(esa)],[f2204]) ).
fof(f2206,plain,
spl0_225,
inference(contradiction_clause,[status(thm)],[f2205]) ).
fof(f2231,plain,
op2(e20,e22) = op2(e22,op2(e21,e22)),
inference(forward_demodulation,[status(thm)],[f1997,f187]) ).
fof(f2232,plain,
op2(e20,e22) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f1977,f2231]) ).
fof(f2240,plain,
( h3(op1(e12,e10)) != op2(e20,e22)
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2232,f1684]) ).
fof(f2249,plain,
op2(e20,e20) = op2(e21,op2(e22,e20)),
inference(forward_demodulation,[status(thm)],[f1977,f173]) ).
fof(f2250,plain,
op2(e20,e20) = op2(e21,op2(e20,e22)),
inference(forward_demodulation,[status(thm)],[f2232,f2249]) ).
fof(f2254,plain,
( op2(e20,e22) != e21
| spl0_117 ),
inference(forward_demodulation,[status(thm)],[f2232,f918]) ).
fof(f2256,plain,
( h3(op1(e10,e12)) != op2(e21,e23)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f1975,f1686]) ).
fof(f2262,plain,
( h3(e10) != op2(e21,e22)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1952,f1688]) ).
fof(f2263,plain,
( e20 != op2(e21,e22)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1606,f2262]) ).
fof(f2264,plain,
( e20 != e20
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1977,f2263]) ).
fof(f2265,plain,
( $false
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f2264]) ).
fof(f2266,plain,
spl0_220,
inference(contradiction_clause,[status(thm)],[f2265]) ).
fof(f2276,plain,
( h3(op1(e11,e10)) != op2(e20,e21)
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f2137,f1693]) ).
fof(f2288,plain,
( h3(op1(e10,e13)) != h4(e11)
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f2045,f1695]) ).
fof(f2318,plain,
op1(e11,e13) = op1(e13,op1(e12,e13)),
inference(forward_demodulation,[status(thm)],[f1954,f107]) ).
fof(f2319,plain,
op1(e10,e12) = op1(e13,op1(e12,e13)),
inference(forward_demodulation,[status(thm)],[f1975,f2318]) ).
fof(f2320,plain,
op1(e10,e12) = op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f1955,f2319]) ).
fof(f2325,plain,
op1(e11,e12) = op1(e12,op1(e13,e12)),
inference(forward_demodulation,[status(thm)],[f1955,f94]) ).
fof(f2326,plain,
e10 = op1(e12,op1(e13,e12)),
inference(forward_demodulation,[status(thm)],[f1952,f2325]) ).
fof(f2327,plain,
e10 = op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f1954,f2326]) ).
fof(f2328,plain,
op1(op1(e10,e12),e12) = op1(e11,op1(e13,e12)),
inference(forward_demodulation,[status(thm)],[f1975,f78]) ).
fof(f2329,plain,
op1(e10,e13) = op1(e11,op1(e13,e12)),
inference(forward_demodulation,[status(thm)],[f1976,f2328]) ).
fof(f2330,plain,
op1(e10,e13) = op1(e11,e11),
inference(forward_demodulation,[status(thm)],[f1954,f2329]) ).
fof(f2341,plain,
e10 != op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f2327,f301]) ).
fof(f2343,plain,
op1(e11,e11) = op1(e12,op1(e13,e11)),
inference(forward_demodulation,[status(thm)],[f1955,f93]) ).
fof(f2345,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f2341]) ).
fof(f2346,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2365,plain,
op1(e11,e13) = op1(e12,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f1955,f95]) ).
fof(f2366,plain,
op1(e10,e13) = op1(e11,op1(e12,e13)),
inference(forward_demodulation,[status(thm)],[f1952,f75]) ).
fof(f2384,plain,
op1(e10,e11) != e10,
inference(forward_demodulation,[status(thm)],[f2327,f297]) ).
fof(f2385,plain,
op1(e10,e13) = op1(e12,op1(e11,e13)),
inference(forward_demodulation,[status(thm)],[f2327,f87]) ).
fof(f2386,plain,
op1(e10,e12) = op1(e12,op1(e11,e12)),
inference(forward_demodulation,[status(thm)],[f2327,f86]) ).
fof(f2387,plain,
op1(e10,e12) = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f1952,f2386]) ).
fof(f2388,plain,
op1(e10,e11) = op1(e12,op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f2327,f85]) ).
fof(f2390,plain,
op1(e10,e11) = op1(e11,op1(e12,e11)),
inference(forward_demodulation,[status(thm)],[f1952,f73]) ).
fof(f2391,plain,
op1(e10,e11) = op1(e11,e10),
inference(forward_demodulation,[status(thm)],[f2327,f2390]) ).
fof(f2392,plain,
op1(op1(e10,e12),e11) = op1(e10,e10),
inference(forward_demodulation,[status(thm)],[f2327,f57]) ).
fof(f2403,plain,
op1(op1(e10,e12),e11) = op1(e12,op1(e10,e11)),
inference(forward_demodulation,[status(thm)],[f2387,f81]) ).
fof(f2404,plain,
op1(e10,e10) = op1(e12,op1(e10,e11)),
inference(forward_demodulation,[status(thm)],[f2392,f2403]) ).
fof(f2430,plain,
op1(e11,e11) != e10,
inference(forward_demodulation,[status(thm)],[f1952,f323]) ).
fof(f2466,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f2384]) ).
fof(f2467,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f2466]) ).
fof(f2517,plain,
( h3(op1(e13,e13)) != e20
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f1993,f1665]) ).
fof(f2539,plain,
op2(op2(e20,e22),e22) = h4(e11),
inference(backward_demodulation,[status(thm)],[f2045,f2003]) ).
fof(f2549,plain,
op2(e20,e22) != e20,
inference(backward_demodulation,[status(thm)],[f2067,f2053]) ).
fof(f2550,plain,
( e20 != e20
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f836,f2549]) ).
fof(f2551,plain,
( $false
| ~ spl0_92 ),
inference(trivial_equality_resolution,[status(esa)],[f2550]) ).
fof(f2552,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f2551]) ).
fof(f2654,plain,
( h3(e10) != op2(e22,e21)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f2327,f1682]) ).
fof(f2655,plain,
( e20 != op2(e22,e21)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1606,f2654]) ).
fof(f2656,plain,
( e20 != e20
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1997,f2655]) ).
fof(f2657,plain,
( $false
| spl0_223 ),
inference(trivial_equality_resolution,[status(esa)],[f2656]) ).
fof(f2658,plain,
spl0_223,
inference(contradiction_clause,[status(thm)],[f2657]) ).
fof(f2659,plain,
( h3(op1(e13,e11)) != op2(e20,e22)
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f2131,f1669]) ).
fof(f2661,plain,
op1(e13,e11) = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f2327,f1971]) ).
fof(f2662,plain,
op1(e13,e13) = op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f1955,f1968]) ).
fof(f2663,plain,
op1(e13,e13) = e10,
inference(forward_demodulation,[status(thm)],[f2327,f2662]) ).
fof(f2664,plain,
( e10 != e10
| spl0_60 ),
inference(forward_demodulation,[status(thm)],[f2663,f733]) ).
fof(f2665,plain,
( $false
| spl0_60 ),
inference(trivial_equality_resolution,[status(esa)],[f2664]) ).
fof(f2666,plain,
spl0_60,
inference(contradiction_clause,[status(thm)],[f2665]) ).
fof(f2691,plain,
( op2(e20,e22) = e21
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f2067,f917]) ).
fof(f2692,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f2691,f2128]) ).
fof(f2693,plain,
~ spl0_117,
inference(contradiction_clause,[status(thm)],[f2692]) ).
fof(f2703,plain,
( op1(e12,e10) = e11
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f2661,f709]) ).
fof(f2744,plain,
op1(e11,e11) = op1(e12,op1(e12,e10)),
inference(forward_demodulation,[status(thm)],[f2661,f2343]) ).
fof(f2745,plain,
( op1(e11,e11) = op1(e12,e11)
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f2703,f2744]) ).
fof(f2746,plain,
( op1(e11,e11) = e10
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f2327,f2745]) ).
fof(f2747,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f2430]) ).
fof(f2748,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2779,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f2391,f2276]) ).
fof(f2873,plain,
op1(e11,e13) = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f2663,f2365]) ).
fof(f2874,plain,
op1(e11,e13) = op1(e10,e12),
inference(forward_demodulation,[status(thm)],[f2387,f2873]) ).
fof(f3041,plain,
( h3(op1(e12,e10)) != op2(e20,e22)
| spl0_227 ),
inference(backward_demodulation,[status(thm)],[f2661,f2659]) ).
fof(f3042,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f2387,f3041]) ).
fof(f3047,plain,
( h3(e10) != e20
| spl0_229 ),
inference(backward_demodulation,[status(thm)],[f2663,f2517]) ).
fof(f3048,plain,
( ~ spl0_284
| spl0_229 ),
inference(split_clause,[status(thm)],[f3047,f1510,f1313]) ).
fof(f3053,plain,
( op1(e13,e11) = op1(e10,e12)
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f2387,f1972]) ).
fof(f3056,plain,
( ~ spl0_93
| spl0_117 ),
inference(split_clause,[status(thm)],[f2254,f838,f916]) ).
fof(f3074,plain,
op1(e11,e11) = op1(e12,op1(e10,e12)),
inference(forward_demodulation,[status(thm)],[f2387,f2744]) ).
fof(f3103,plain,
op1(e13,e10) = op1(e12,op1(e10,e12)),
inference(forward_demodulation,[status(thm)],[f2387,f1973]) ).
fof(f3104,plain,
op1(e13,e10) = op1(e11,e11),
inference(forward_demodulation,[status(thm)],[f3074,f3103]) ).
fof(f3106,plain,
( op1(e10,e12) = e12
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f3053,f712]) ).
fof(f3110,plain,
op1(e10,e13) = op1(e11,e11),
inference(forward_demodulation,[status(thm)],[f1955,f2366]) ).
fof(f3151,plain,
( h3(e12) != op2(e21,e23)
| ~ spl0_60
| ~ spl0_54
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f3106,f2256]) ).
fof(f3152,plain,
( e22 != op2(e21,e23)
| ~ spl0_60
| ~ spl0_54
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f438,f3151]) ).
fof(f3153,plain,
( e22 != e22
| ~ spl0_114
| ~ spl0_60
| ~ spl0_54
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f907,f3152]) ).
fof(f3154,plain,
( $false
| ~ spl0_114
| ~ spl0_60
| ~ spl0_54
| spl0_221 ),
inference(trivial_equality_resolution,[status(esa)],[f3153]) ).
fof(f3155,plain,
( ~ spl0_114
| ~ spl0_60
| ~ spl0_54
| spl0_221 ),
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3171,plain,
( op2(e20,e20) = op2(e21,e22)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f842,f2250]) ).
fof(f3172,plain,
( op2(e20,e20) = e20
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f1977,f3171]) ).
fof(f3265,plain,
( h3(op1(e10,e12)) != e22
| ~ spl0_94
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f842,f1697]) ).
fof(f3267,plain,
( op2(e22,e22) = h4(e11)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f842,f2539]) ).
fof(f3268,plain,
( e23 = h4(e11)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f429,f3267]) ).
fof(f3280,plain,
( e22 = op2(e21,e23)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f842,f2002]) ).
fof(f3375,plain,
( op1(e10,e13) != e13
| spl0_23 ),
inference(backward_demodulation,[status(thm)],[f2330,f612]) ).
fof(f3404,plain,
( h1(e13) = e20
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f3172,f433]) ).
fof(f3520,plain,
( op1(e10,e13) = op1(e12,e12)
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f634,f2385]) ).
fof(f3521,plain,
( op1(e10,e13) = e13
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f426,f3520]) ).
fof(f3522,plain,
( $false
| spl0_15
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f3521,f586]) ).
fof(f3523,plain,
( spl0_15
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f3522]) ).
fof(f3531,plain,
( op1(e10,e12) = e12
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f634,f1975]) ).
fof(f3537,plain,
( h3(e12) != op2(e20,e22)
| ~ spl0_30
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f3531,f3042]) ).
fof(f3538,plain,
( e22 != op2(e20,e22)
| ~ spl0_30
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f438,f3537]) ).
fof(f3539,plain,
( e22 != e22
| ~ spl0_94
| ~ spl0_30
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f842,f3538]) ).
fof(f3540,plain,
( $false
| ~ spl0_94
| ~ spl0_30
| spl0_227 ),
inference(trivial_equality_resolution,[status(esa)],[f3539]) ).
fof(f3541,plain,
( ~ spl0_94
| ~ spl0_30
| spl0_227 ),
inference(contradiction_clause,[status(thm)],[f3540]) ).
fof(f3553,plain,
( op1(op1(e13,e13),e11) = op1(e13,e13)
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f715,f109]) ).
fof(f3554,plain,
( op1(e10,e11) = op1(e13,e13)
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f2663,f3553]) ).
fof(f3555,plain,
( op1(e10,e11) = e10
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f2663,f3554]) ).
fof(f3556,plain,
( $false
| spl0_4
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f3555,f551]) ).
fof(f3557,plain,
( spl0_4
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f3556]) ).
fof(f3716,plain,
( ~ spl0_15
| spl0_23 ),
inference(split_clause,[status(thm)],[f3375,f584,f610]) ).
fof(f3779,plain,
op1(e13,e10) = op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f3110,f3104]) ).
fof(f3791,plain,
( h3(op1(e10,e13)) != e23
| ~ spl0_94
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f3268,f2288]) ).
fof(f3792,plain,
( h3(op1(e10,e10)) != e20
| ~ spl0_94
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f3404,f1702]) ).
fof(f3864,plain,
( h3(op1(e10,e13)) != h4(e11)
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f3779,f2181]) ).
fof(f3865,plain,
( h3(op1(e10,e13)) != e23
| ~ spl0_94
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f3268,f3864]) ).
fof(f3866,plain,
( op2(e23,e22) = op2(e20,e21)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f3268,f2145]) ).
fof(f3867,plain,
( e21 = op2(e20,e21)
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f1979,f3866]) ).
fof(f3868,plain,
( op2(e21,e21) = e23
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f3268,f2134]) ).
fof(f3890,plain,
( spl0_114
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f3280,f906,f841]) ).
fof(f3891,plain,
( op1(e11,e11) = op1(e12,e12)
| ~ spl0_60
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f3106,f3074]) ).
fof(f3892,plain,
( op1(e10,e13) = op1(e12,e12)
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f3110,f3891]) ).
fof(f3893,plain,
( op1(e10,e13) = e13
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f426,f3892]) ).
fof(f3894,plain,
( op1(e13,e11) = e12
| ~ spl0_54
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f3106,f3053]) ).
fof(f3895,plain,
( op1(e10,e12) = e12
| ~ spl0_54
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f2320,f3894]) ).
fof(f3896,plain,
( op1(e11,e13) = e12
| ~ spl0_60
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f3106,f2874]) ).
fof(f3897,plain,
( spl0_30
| ~ spl0_60
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f3896,f633,f731,f711]) ).
fof(f4050,plain,
( e13 = op1(e11,e11)
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f3893,f2330]) ).
fof(f4077,plain,
( op1(e10,e11) = op1(e12,e13)
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f4050,f2388]) ).
fof(f4078,plain,
( op1(e10,e11) = e11
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f1955,f4077]) ).
fof(f4080,plain,
( op1(e10,e10) = op1(e12,e11)
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f4078,f2404]) ).
fof(f4081,plain,
( op1(e10,e10) = e10
| ~ spl0_60
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f2327,f4080]) ).
fof(f4355,plain,
( h3(e13) != e23
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_226 ),
inference(backward_demodulation,[status(thm)],[f3893,f3865]) ).
fof(f4356,plain,
( ~ spl0_236
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_226 ),
inference(split_clause,[status(thm)],[f4355,f1337,f731,f711,f841,f1304]) ).
fof(f4470,plain,
( h2(e13) = e23
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f3868,f437]) ).
fof(f4679,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2387,f2240]) ).
fof(f4680,plain,
( h3(e12) != op2(e20,e22)
| ~ spl0_54
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f3895,f4679]) ).
fof(f4681,plain,
( e22 != op2(e20,e22)
| ~ spl0_54
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f438,f4680]) ).
fof(f4682,plain,
( e22 != e22
| ~ spl0_94
| ~ spl0_54
| ~ spl0_60
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f842,f4681]) ).
fof(f4683,plain,
( $false
| ~ spl0_94
| ~ spl0_54
| ~ spl0_60
| spl0_222 ),
inference(trivial_equality_resolution,[status(esa)],[f4682]) ).
fof(f4684,plain,
( ~ spl0_94
| ~ spl0_54
| ~ spl0_60
| spl0_222 ),
inference(contradiction_clause,[status(thm)],[f4683]) ).
fof(f4693,plain,
( h3(e13) != h2(e13)
| ~ spl0_23
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f611,f1691]) ).
fof(f4694,plain,
( e23 != h2(e13)
| ~ spl0_23
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1608,f4693]) ).
fof(f4695,plain,
( e23 != e23
| ~ spl0_94
| ~ spl0_23
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f4470,f4694]) ).
fof(f4696,plain,
( $false
| ~ spl0_94
| ~ spl0_23
| spl0_219 ),
inference(trivial_equality_resolution,[status(esa)],[f4695]) ).
fof(f4697,plain,
( ~ spl0_94
| ~ spl0_23
| spl0_219 ),
inference(contradiction_clause,[status(thm)],[f4696]) ).
fof(f4698,plain,
( h3(e11) != op2(e20,e21)
| ~ spl0_60
| ~ spl0_54
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f4078,f2779]) ).
fof(f4699,plain,
( e21 != op2(e20,e21)
| ~ spl0_60
| ~ spl0_54
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f1607,f4698]) ).
fof(f4700,plain,
( e21 != e21
| ~ spl0_94
| ~ spl0_60
| ~ spl0_54
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f3867,f4699]) ).
fof(f4701,plain,
( $false
| ~ spl0_94
| ~ spl0_60
| ~ spl0_54
| spl0_218 ),
inference(trivial_equality_resolution,[status(esa)],[f4700]) ).
fof(f4702,plain,
( ~ spl0_94
| ~ spl0_60
| ~ spl0_54
| spl0_218 ),
inference(contradiction_clause,[status(thm)],[f4701]) ).
fof(f4703,plain,
( h3(e13) != e23
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f3893,f3791]) ).
fof(f4704,plain,
( e23 != e23
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f1608,f4703]) ).
fof(f4705,plain,
( $false
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_217 ),
inference(trivial_equality_resolution,[status(esa)],[f4704]) ).
fof(f4706,plain,
( ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_217 ),
inference(contradiction_clause,[status(thm)],[f4705]) ).
fof(f4707,plain,
( h3(e12) != e22
| ~ spl0_54
| ~ spl0_60
| ~ spl0_94
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f3895,f3265]) ).
fof(f4708,plain,
( e22 != e22
| ~ spl0_54
| ~ spl0_60
| ~ spl0_94
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f438,f4707]) ).
fof(f4709,plain,
( $false
| ~ spl0_54
| ~ spl0_60
| ~ spl0_94
| spl0_216 ),
inference(trivial_equality_resolution,[status(esa)],[f4708]) ).
fof(f4710,plain,
( ~ spl0_54
| ~ spl0_60
| ~ spl0_94
| spl0_216 ),
inference(contradiction_clause,[status(thm)],[f4709]) ).
fof(f4711,plain,
( h3(e11) != op2(e20,e21)
| ~ spl0_60
| ~ spl0_54
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f4078,f1699]) ).
fof(f4712,plain,
( e21 != op2(e20,e21)
| ~ spl0_60
| ~ spl0_54
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1607,f4711]) ).
fof(f4713,plain,
( e21 != e21
| ~ spl0_94
| ~ spl0_60
| ~ spl0_54
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f3867,f4712]) ).
fof(f4714,plain,
( $false
| ~ spl0_94
| ~ spl0_60
| ~ spl0_54
| spl0_215 ),
inference(trivial_equality_resolution,[status(esa)],[f4713]) ).
fof(f4715,plain,
( ~ spl0_94
| ~ spl0_60
| ~ spl0_54
| spl0_215 ),
inference(contradiction_clause,[status(thm)],[f4714]) ).
fof(f4716,plain,
( h3(e10) != e20
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f4081,f3792]) ).
fof(f4717,plain,
( e20 != e20
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1606,f4716]) ).
fof(f4718,plain,
( $false
| ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f4717]) ).
fof(f4719,plain,
( ~ spl0_60
| ~ spl0_54
| ~ spl0_94
| spl0_214 ),
inference(contradiction_clause,[status(thm)],[f4718]) ).
fof(f5398,plain,
( e23 != e23
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f845,f1989]) ).
fof(f5399,plain,
( $false
| ~ spl0_95 ),
inference(trivial_equality_resolution,[status(esa)],[f5398]) ).
fof(f5400,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f5399]) ).
fof(f5401,plain,
$false,
inference(sat_refutation,[status(thm)],[f717,f847,f1340,f1513,f1533,f1553,f1615,f1622,f1629,f1645,f1680,f2123,f2206,f2266,f2346,f2467,f2552,f2658,f2666,f2693,f2748,f3048,f3056,f3155,f3523,f3541,f3557,f3716,f3890,f3897,f4356,f4684,f4697,f4702,f4706,f4710,f4715,f4719,f5400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG016+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:08:43 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 1.63/0.61 % Refutation found
% 1.63/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.63/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.01/0.63 % Elapsed time: 0.286252 seconds
% 2.01/0.63 % CPU time: 2.088528 seconds
% 2.01/0.63 % Total memory used: 52.769 MB
% 2.01/0.63 % Net memory used: 50.243 MB
%------------------------------------------------------------------------------