%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG061+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:21:02 AM UTC 2026
% Result : Theorem 0.20s 0.34s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 45
% Syntax : Number of formulae : 328 ( 80 unt; 39 def)
% Number of atoms : 1321 ( 832 equ)
% Maximal formula atoms : 125 ( 4 avg)
% Number of connectives : 1546 ( 553 ~; 681 |; 283 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 40 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e4 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e0,e1) = e4 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3
| op(e0,e3) = e4 )
& ( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e1,e0) = e4 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3
| op(e1,e1) = e4 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3
| op(e1,e2) = e4 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3
| op(e1,e3) = e4 )
& ( op(e1,e4) = e0
| op(e1,e4) = e1
| op(e1,e4) = e2
| op(e1,e4) = e3
| op(e1,e4) = e4 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3
| op(e2,e0) = e4 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3
| op(e2,e1) = e4 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3
| op(e2,e2) = e4 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3
| op(e2,e3) = e4 )
& ( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3
| op(e3,e1) = e4 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3
| op(e3,e2) = e4 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3
| op(e3,e3) = e4 )
& ( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 )
& ( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 )
& ( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 )
& ( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 )
& ( op(e4,e3) = e0
| op(e4,e3) = e1
| op(e4,e3) = e2
| op(e4,e3) = e3
| op(e4,e3) = e4 )
& ( op(e4,e4) = e0
| op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| op(e4,e4) = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,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
& op(unit,e4) = e4
& op(e4,unit) = e4
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3
| unit = e4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e4,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e4,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e1) != op(e4,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e4,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e2,e2) != op(e4,e2)
& op(e3,e2) != op(e4,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e4,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e3) != op(e4,e3)
& op(e0,e4) != op(e1,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e2,e4) != op(e4,e4)
& op(e3,e4) != op(e4,e4)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e4)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e2) != op(e0,e4)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e4)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e2) != op(e1,e4)
& op(e1,e3) != op(e1,e4)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e4)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e2,e4)
& op(e2,e3) != op(e2,e4)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e4)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e2) != op(e3,e4)
& op(e3,e3) != op(e3,e4)
& op(e4,e0) != op(e4,e1)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e4)
& op(e4,e1) != op(e4,e2)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e2) != op(e4,e4)
& op(e4,e3) != op(e4,e4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e0 != e4
& e1 != e2
& e1 != e3
& e1 != e4
& e2 != e3
& e2 != e4
& e3 != e4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,conjecture,
~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 ) )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 ) )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 ) )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 ) )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( ( op(e4,op(e4,e4)) != e4
& op(e4,op(e4,e4)) = e4 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e3,op(e3,e4)) != e4
& op(e4,op(e3,e4)) = e3 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e4,op(e4,e3)) != e3
& op(e3,op(e4,e3)) = e4 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( op(e3,op(e3,e3)) != e3
& op(e3,op(e3,e3)) = e3 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( op(e4,op(e4,e1)) != e1
& op(e1,op(e4,e1)) = e4 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( op(e3,op(e3,e1)) != e1
& op(e1,op(e3,e1)) = e3 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( op(e4,op(e4,e0)) != e0
& op(e0,op(e4,e0)) = e4 )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( op(e3,op(e3,e0)) != e0
& op(e0,op(e3,e0)) = e3 )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,plain,
( ( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 )
& ( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 )
& ( op(e0,e0) = e2
| op(e1,e1) = e2
| op(e2,e2) = e2
| op(e3,e3) = e2
| op(e4,e4) = e2 )
& ( op(e0,e0) = e3
| op(e1,e1) = e3
| op(e2,e2) = e3
| op(e3,e3) = e3
| op(e4,e4) = e3 )
& ( op(e0,e0) = e4
| op(e1,e1) = e4
| op(e2,e2) = e4
| op(e3,e3) = e4
| op(e4,e4) = e4 )
& ( ( op(e0,op(e0,e0)) != e0
& op(e0,op(e0,e0)) = e0 )
| ( op(e1,op(e1,e0)) != e0
& op(e0,op(e1,e0)) = e1 )
| ( op(e2,op(e2,e0)) != e0
& op(e0,op(e2,e0)) = e2 )
| sP9
| sP8 )
& ( ( op(e0,op(e0,e1)) != e1
& op(e1,op(e0,e1)) = e0 )
| ( op(e1,op(e1,e1)) != e1
& op(e1,op(e1,e1)) = e1 )
| ( op(e2,op(e2,e1)) != e1
& op(e1,op(e2,e1)) = e2 )
| sP7
| sP6 )
& ( ( op(e0,op(e0,e2)) != e2
& op(e2,op(e0,e2)) = e0 )
| ( op(e1,op(e1,e2)) != e2
& op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2
& op(e2,op(e2,e2)) = e2 )
| sP5
| sP4 )
& ( ( op(e0,op(e0,e3)) != e3
& op(e3,op(e0,e3)) = e0 )
| ( op(e1,op(e1,e3)) != e3
& op(e3,op(e1,e3)) = e1 )
| ( op(e2,op(e2,e3)) != e3
& op(e3,op(e2,e3)) = e2 )
| sP3
| sP2 )
& ( ( op(e0,op(e0,e4)) != e4
& op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4
& op(e4,op(e1,e4)) = e1 )
| ( op(e2,op(e2,e4)) != e4
& op(e4,op(e2,e4)) = e2 )
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f25,plain,
( ( op(e3,op(e3,e2)) != e2
& op(e2,op(e3,e2)) = e3 )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f26,plain,
( ( op(e4,op(e4,e2)) != e2
& op(e2,op(e4,e2)) = e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f32,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f36,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f38,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f56,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f57,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f58,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f59,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f60,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f62,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f117,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f125,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f128,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f129,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f220,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f221,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f222,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f223,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f224,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f225,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f226,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f227,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f228,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f229,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f230,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f239,plain,
( e3 = op(e2,op(e3,e2))
| ~ sP5 ),
inference(cnf_transformation,[],[f25]) ).
fof(f241,plain,
( e4 = op(e2,op(e4,e2))
| ~ sP4 ),
inference(cnf_transformation,[],[f26]) ).
fof(f271,plain,
( e2 != op(e0,op(e0,e2))
| e1 = op(e2,op(e1,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f272,plain,
( e2 != op(e0,op(e0,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4 ),
inference(cnf_transformation,[],[f20]) ).
fof(f294,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f295,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f304,plain,
e4 = op(e1,e1),
inference(global_subsumption,[],[f227]) ).
fof(f342,definition,
( spl10_9
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl10_9])],[avatar_definition]) ).
fof(f343,plain,
( sP5
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( ~ sP5
| spl10_9 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f353,definition,
( spl10_11
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl10_11])],[avatar_definition]) ).
fof(f380,definition,
( spl10_17
<=> e2 = op(e0,op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).
fof(f381,plain,
( e2 != op(e0,op(e2,e0))
| spl10_17 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f382,plain,
( e2 = op(e0,op(e2,e0))
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f543,plain,
e4 = op(e1,e1),
inference(global_subsumption,[],[f304]) ).
fof(f563,definition,
( spl10_44
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl10_44])],[avatar_definition]) ).
fof(f564,plain,
( e3 != op(e3,e3)
| spl10_44 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( e3 = op(e3,e3)
| ~ spl10_44 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl10_45
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl10_45])],[avatar_definition]) ).
fof(f568,plain,
( e3 != op(e2,e2)
| spl10_45 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( e3 = op(e2,e2)
| ~ spl10_45 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f608,plain,
( e1 = e4
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(forward_demodulation,[],[f294,f543]) ).
fof(f609,plain,
( op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f608,f220]) ).
fof(f615,definition,
( spl10_50
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl10_50])],[avatar_definition]) ).
fof(f616,plain,
( e1 != op(e2,e2)
| spl10_50 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( e1 = op(e2,e2)
| ~ spl10_50 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f619,definition,
( spl10_51
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl10_51])],[avatar_definition]) ).
fof(f620,plain,
( op(e0,e0) != e1
| spl10_51 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f621,plain,
( op(e0,e0) = e1
| ~ spl10_51 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f637,plain,
( e0 = e4
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(forward_demodulation,[],[f295,f543]) ).
fof(f638,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f637,f223]) ).
fof(f647,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[],[f229,f543]) ).
fof(f649,plain,
e2 != op(e4,e3),
inference(superposition,[],[f117,f647]) ).
fof(f650,plain,
e2 != op(e4,e2),
inference(superposition,[],[f118,f647]) ).
fof(f653,plain,
e2 != op(e3,e4),
inference(superposition,[],[f167,f647]) ).
fof(f681,plain,
( e1 = e3
| ~ spl10_45
| ~ spl10_50 ),
inference(forward_demodulation,[],[f569,f617]) ).
fof(f683,plain,
( $false
| ~ spl10_45
| ~ spl10_50 ),
inference(forward_subsumption_resolution,[],[f681,f221]) ).
fof(f684,plain,
( ~ spl10_45
| ~ spl10_50 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f700,plain,
e0 = op(e1,op(e4,e4)),
inference(forward_demodulation,[],[f230,f543]) ).
fof(f701,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f700,f647]) ).
fof(f724,definition,
( spl10_52
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).
fof(f726,plain,
( e4 = unit
| ~ spl10_52 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f728,definition,
( spl10_53
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl10_53])],[avatar_definition]) ).
fof(f730,plain,
( e3 = unit
| ~ spl10_53 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f732,definition,
( spl10_54
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl10_54])],[avatar_definition]) ).
fof(f734,plain,
( e2 = unit
| ~ spl10_54 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f736,definition,
( spl10_55
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl10_55])],[avatar_definition]) ).
fof(f738,plain,
( e1 = unit
| ~ spl10_55 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f740,definition,
( spl10_56
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl10_56])],[avatar_definition]) ).
fof(f742,plain,
( e0 = unit
| ~ spl10_56 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f743,plain,
( spl10_52
| spl10_53
| spl10_54
| spl10_55
| spl10_56 ),
inference(avatar_split_clause,[],[f56,f740,f736,f732,f728,f724]) ).
fof(f744,plain,
( e4 = op(e4,e4)
| ~ spl10_52 ),
inference(superposition,[],[f57,f726]) ).
fof(f759,plain,
( e2 = e4
| ~ spl10_52 ),
inference(forward_demodulation,[],[f744,f647]) ).
fof(f762,plain,
( $false
| ~ spl10_52 ),
inference(forward_subsumption_resolution,[],[f759,f218]) ).
fof(f763,plain,
~ spl10_52,
inference(avatar_contradiction_clause,[],[f762]) ).
fof(f831,plain,
( e2 = op(e1,e2)
| ~ spl10_55 ),
inference(superposition,[],[f62,f738]) ).
fof(f844,plain,
( e0 = e2
| ~ spl10_55 ),
inference(forward_demodulation,[],[f831,f701]) ).
fof(f853,plain,
( $false
| ~ spl10_55 ),
inference(forward_subsumption_resolution,[],[f844,f225]) ).
fof(f854,plain,
~ spl10_55,
inference(avatar_contradiction_clause,[],[f853]) ).
fof(f1008,plain,
( e3 = op(e3,e3)
| ~ spl10_53 ),
inference(superposition,[],[f59,f730]) ).
fof(f1026,plain,
( $false
| spl10_44
| ~ spl10_53 ),
inference(forward_subsumption_resolution,[],[f1008,f564]) ).
fof(f1027,plain,
( spl10_44
| ~ spl10_53 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1028,plain,
( e0 = e2
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3) ),
inference(forward_demodulation,[],[f638,f647]) ).
fof(f1029,plain,
( e1 = e2
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3) ),
inference(forward_demodulation,[],[f609,f647]) ).
fof(f1030,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3) ),
inference(forward_subsumption_resolution,[],[f1028,f225]) ).
fof(f1031,plain,
( op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3) ),
inference(forward_subsumption_resolution,[],[f1029,f222]) ).
fof(f1039,plain,
( e0 = e3
| e0 = op(e0,e0)
| e0 = op(e3,e3)
| ~ spl10_45 ),
inference(forward_demodulation,[],[f1030,f569]) ).
fof(f1040,plain,
( e0 = op(e0,e0)
| e0 = op(e3,e3)
| ~ spl10_45 ),
inference(forward_subsumption_resolution,[],[f1039,f224]) ).
fof(f1042,definition,
( spl10_57
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl10_57])],[avatar_definition]) ).
fof(f1044,plain,
( e0 = op(e3,e3)
| ~ spl10_57 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1046,definition,
( spl10_58
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).
fof(f1048,plain,
( e0 = op(e0,e0)
| ~ spl10_58 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1049,plain,
( spl10_57
| spl10_58
| ~ spl10_45 ),
inference(avatar_split_clause,[],[f1040,f567,f1046,f1042]) ).
fof(f1058,plain,
( op(e0,e0) = e1
| e1 = op(e3,e3)
| spl10_50 ),
inference(forward_subsumption_resolution,[],[f1031,f616]) ).
fof(f1065,plain,
( e4 = op(e4,e0)
| ~ spl10_56 ),
inference(superposition,[],[f57,f742]) ).
fof(f1066,plain,
( e4 = op(e0,e4)
| ~ spl10_56 ),
inference(superposition,[],[f58,f742]) ).
fof(f1067,plain,
( e3 = op(e3,e0)
| ~ spl10_56 ),
inference(superposition,[],[f59,f742]) ).
fof(f1068,plain,
( e3 = op(e0,e3)
| ~ spl10_56 ),
inference(superposition,[],[f60,f742]) ).
fof(f1069,plain,
( e2 = op(e2,e0)
| ~ spl10_56 ),
inference(superposition,[],[f61,f742]) ).
fof(f1070,plain,
( e2 = op(e0,e2)
| ~ spl10_56 ),
inference(superposition,[],[f62,f742]) ).
fof(f1073,plain,
( e0 = op(e0,e0)
| ~ spl10_56 ),
inference(superposition,[],[f65,f742]) ).
fof(f1080,plain,
( e0 = e1
| ~ spl10_51
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1073,f621]) ).
fof(f1087,plain,
( $false
| ~ spl10_51
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f1080,f226]) ).
fof(f1088,plain,
( ~ spl10_51
| ~ spl10_56 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1093,plain,
( e1 = op(e3,e3)
| spl10_50
| spl10_51 ),
inference(forward_subsumption_resolution,[],[f1058,f620]) ).
fof(f1094,plain,
( e1 != op(e3,e2)
| spl10_50
| spl10_51 ),
inference(superposition,[],[f129,f1093]) ).
fof(f1156,plain,
( e2 != op(e0,e2)
| spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f381,f1069]) ).
fof(f1159,plain,
( $false
| spl10_17
| ~ spl10_56 ),
inference(global_subsumption,[],[f1156,f1070]) ).
fof(f1160,plain,
( spl10_17
| ~ spl10_56 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1166,plain,
( e2 = op(e0,e2)
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f382,f1069]) ).
fof(f1290,plain,
( e3 = op(e2,op(e3,e2))
| ~ spl10_9 ),
inference(forward_subsumption_resolution,[],[f239,f343]) ).
fof(f1291,plain,
e3 = op(op(e4,e4),op(e4,e4)),
inference(forward_demodulation,[],[f228,f543]) ).
fof(f1292,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[],[f1291,f647]) ).
fof(f1293,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(forward_subsumption_resolution,[],[f32,f649]) ).
fof(f1295,definition,
( spl10_59
<=> e4 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl10_59])],[avatar_definition]) ).
fof(f1297,plain,
( e4 = op(e4,e3)
| ~ spl10_59 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1299,definition,
( spl10_60
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl10_60])],[avatar_definition]) ).
fof(f1301,plain,
( e3 = op(e4,e3)
| ~ spl10_60 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1303,definition,
( spl10_61
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl10_61])],[avatar_definition]) ).
fof(f1305,plain,
( e1 = op(e4,e3)
| ~ spl10_61 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1307,definition,
( spl10_62
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl10_62])],[avatar_definition]) ).
fof(f1309,plain,
( e0 = op(e4,e3)
| ~ spl10_62 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1310,plain,
( spl10_59
| spl10_60
| spl10_61
| spl10_62 ),
inference(avatar_split_clause,[],[f1293,f1307,f1303,f1299,f1295]) ).
fof(f1313,plain,
( e4 != op(e4,e0)
| ~ spl10_59 ),
inference(superposition,[],[f124,f1297]) ).
fof(f1320,plain,
( $false
| ~ spl10_56
| ~ spl10_59 ),
inference(forward_subsumption_resolution,[],[f1313,f1065]) ).
fof(f1321,plain,
( ~ spl10_56
| ~ spl10_59 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1322,plain,
( e0 != op(e4,e2)
| ~ spl10_62 ),
inference(superposition,[],[f119,f1309]) ).
fof(f1333,plain,
( e1 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| ~ spl10_62 ),
inference(forward_subsumption_resolution,[],[f33,f1322]) ).
fof(f1334,plain,
( e1 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2)
| ~ spl10_62 ),
inference(forward_subsumption_resolution,[],[f1333,f650]) ).
fof(f1336,definition,
( spl10_63
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl10_63])],[avatar_definition]) ).
fof(f1338,plain,
( e4 = op(e4,e2)
| ~ spl10_63 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1340,definition,
( spl10_64
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl10_64])],[avatar_definition]) ).
fof(f1342,plain,
( e3 = op(e4,e2)
| ~ spl10_64 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1344,definition,
( spl10_65
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl10_65])],[avatar_definition]) ).
fof(f1346,plain,
( e1 = op(e4,e2)
| ~ spl10_65 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1347,plain,
( spl10_63
| spl10_64
| spl10_65
| ~ spl10_62 ),
inference(avatar_split_clause,[],[f1334,f1307,f1344,f1340,f1336]) ).
fof(f1349,plain,
( e4 != op(e4,e0)
| ~ spl10_63 ),
inference(superposition,[],[f125,f1338]) ).
fof(f1358,plain,
( $false
| ~ spl10_56
| ~ spl10_63 ),
inference(forward_subsumption_resolution,[],[f1349,f1065]) ).
fof(f1359,plain,
( ~ spl10_56
| ~ spl10_63 ),
inference(avatar_contradiction_clause,[],[f1358]) ).
fof(f1385,plain,
( e0 = op(e3,e4)
| e1 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4) ),
inference(forward_subsumption_resolution,[],[f36,f653]) ).
fof(f1387,definition,
( spl10_66
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl10_66])],[avatar_definition]) ).
fof(f1389,plain,
( e4 = op(e3,e4)
| ~ spl10_66 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1391,definition,
( spl10_67
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl10_67])],[avatar_definition]) ).
fof(f1393,plain,
( e3 = op(e3,e4)
| ~ spl10_67 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1395,definition,
( spl10_68
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl10_68])],[avatar_definition]) ).
fof(f1397,plain,
( e1 = op(e3,e4)
| ~ spl10_68 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1399,definition,
( spl10_69
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl10_69])],[avatar_definition]) ).
fof(f1401,plain,
( e0 = op(e3,e4)
| ~ spl10_69 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1402,plain,
( spl10_66
| spl10_67
| spl10_68
| spl10_69 ),
inference(avatar_split_clause,[],[f1385,f1399,f1395,f1391,f1387]) ).
fof(f1409,plain,
( e4 != op(e0,e4)
| ~ spl10_66 ),
inference(superposition,[],[f174,f1389]) ).
fof(f1411,plain,
( $false
| ~ spl10_56
| ~ spl10_66 ),
inference(forward_subsumption_resolution,[],[f1409,f1066]) ).
fof(f1412,plain,
( ~ spl10_56
| ~ spl10_66 ),
inference(avatar_contradiction_clause,[],[f1411]) ).
fof(f1415,plain,
( e0 != op(e3,e2)
| ~ spl10_69 ),
inference(superposition,[],[f128,f1401]) ).
fof(f1425,plain,
( e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| ~ spl10_69 ),
inference(forward_subsumption_resolution,[],[f38,f1415]) ).
fof(f1426,plain,
( e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| spl10_50
| spl10_51
| ~ spl10_69 ),
inference(forward_subsumption_resolution,[],[f1425,f1094]) ).
fof(f1428,definition,
( spl10_70
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl10_70])],[avatar_definition]) ).
fof(f1430,plain,
( e4 = op(e3,e2)
| ~ spl10_70 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1432,definition,
( spl10_71
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl10_71])],[avatar_definition]) ).
fof(f1433,plain,
( e3 != op(e3,e2)
| spl10_71 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1434,plain,
( e3 = op(e3,e2)
| ~ spl10_71 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1436,definition,
( spl10_72
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl10_72])],[avatar_definition]) ).
fof(f1438,plain,
( e2 = op(e3,e2)
| ~ spl10_72 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1439,plain,
( spl10_70
| spl10_71
| spl10_72
| spl10_50
| spl10_51
| ~ spl10_69 ),
inference(avatar_split_clause,[],[f1426,f1399,f619,f615,f1436,f1432,f1428]) ).
fof(f1447,plain,
( e3 = op(e2,e4)
| ~ spl10_9
| ~ spl10_70 ),
inference(superposition,[],[f1290,f1430]) ).
fof(f1452,plain,
( e3 != op(e2,e2)
| ~ spl10_9
| ~ spl10_70 ),
inference(superposition,[],[f138,f1447]) ).
fof(f1464,plain,
( $false
| ~ spl10_9
| ~ spl10_45
| ~ spl10_70 ),
inference(forward_subsumption_resolution,[],[f1452,f569]) ).
fof(f1465,plain,
( ~ spl10_9
| ~ spl10_45
| ~ spl10_70 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1470,plain,
( e2 != op(e0,e2)
| ~ spl10_72 ),
inference(superposition,[],[f194,f1438]) ).
fof(f1478,plain,
( $false
| ~ spl10_17
| ~ spl10_56
| ~ spl10_72 ),
inference(forward_subsumption_resolution,[],[f1470,f1166]) ).
fof(f1479,plain,
( ~ spl10_17
| ~ spl10_56
| ~ spl10_72 ),
inference(avatar_contradiction_clause,[],[f1478]) ).
fof(f1485,plain,
( e3 != op(e2,e2)
| ~ spl10_71 ),
inference(superposition,[],[f189,f1434]) ).
fof(f1495,plain,
( $false
| ~ spl10_45
| ~ spl10_71 ),
inference(forward_subsumption_resolution,[],[f1485,f569]) ).
fof(f1496,plain,
( ~ spl10_45
| ~ spl10_71 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1502,plain,
( e1 != op(e3,e3)
| ~ spl10_68 ),
inference(superposition,[],[f127,f1397]) ).
fof(f1513,plain,
( $false
| spl10_50
| spl10_51
| ~ spl10_68 ),
inference(forward_subsumption_resolution,[],[f1502,f1093]) ).
fof(f1514,plain,
( spl10_50
| spl10_51
| ~ spl10_68 ),
inference(avatar_contradiction_clause,[],[f1513]) ).
fof(f1518,plain,
( e3 != op(e3,e0)
| ~ spl10_67 ),
inference(superposition,[],[f133,f1393]) ).
fof(f1527,plain,
( $false
| ~ spl10_56
| ~ spl10_67 ),
inference(forward_subsumption_resolution,[],[f1518,f1067]) ).
fof(f1528,plain,
( ~ spl10_56
| ~ spl10_67 ),
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1531,plain,
( e2 != op(e0,e2)
| e1 = op(e2,op(e1,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f271,f1166]) ).
fof(f1532,plain,
( e2 != op(e0,e2)
| e1 = op(e2,op(e1,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f272,f1166]) ).
fof(f1535,plain,
( e4 = op(e2,e1)
| ~ sP4
| ~ spl10_65 ),
inference(forward_demodulation,[],[f241,f1346]) ).
fof(f1536,plain,
( e1 = op(e2,op(e1,e2))
| e2 = op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f1531,f1166]) ).
fof(f1537,plain,
( e1 = op(e2,op(e1,e2))
| e2 != op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f1532,f1166]) ).
fof(f1540,plain,
( e1 = op(e2,e0)
| e2 = op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1536,f701]) ).
fof(f1541,plain,
( e1 = op(e2,e0)
| e2 != op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1537,f701]) ).
fof(f1544,plain,
( e1 = e2
| e2 = op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1540,f1069]) ).
fof(f1545,plain,
( e1 = e2
| e2 != op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1541,f1069]) ).
fof(f1548,plain,
( e2 = op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f1544,f222]) ).
fof(f1549,plain,
( e2 != op(e2,op(e2,e2))
| sP5
| sP4
| ~ spl10_17
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f1545,f222]) ).
fof(f1552,plain,
( e2 = op(e2,e3)
| sP5
| sP4
| ~ spl10_17
| ~ spl10_45
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1548,f569]) ).
fof(f1553,plain,
( e2 != op(e2,e3)
| sP5
| sP4
| ~ spl10_17
| ~ spl10_45
| ~ spl10_56 ),
inference(forward_demodulation,[],[f1549,f569]) ).
fof(f1556,plain,
( sP5
| sP4
| ~ spl10_17
| ~ spl10_45
| ~ spl10_56 ),
inference(global_subsumption,[],[f1553,f1552]) ).
fof(f1561,plain,
( sP4
| spl10_9
| ~ spl10_17
| ~ spl10_45
| ~ spl10_56 ),
inference(forward_subsumption_resolution,[],[f1556,f344]) ).
fof(f1562,plain,
( spl10_11
| spl10_9
| ~ spl10_17
| ~ spl10_45
| ~ spl10_56 ),
inference(avatar_split_clause,[],[f1561,f740,f567,f380,f342,f353]) ).
fof(f1591,definition,
( spl10_73
<=> e4 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl10_73])],[avatar_definition]) ).
fof(f1593,plain,
( e4 = op(e2,e1)
| ~ spl10_73 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1594,plain,
( ~ spl10_11
| spl10_73
| ~ spl10_65 ),
inference(avatar_split_clause,[],[f1535,f1344,f1591,f353]) ).
fof(f1595,plain,
( e4 != op(e1,e1)
| ~ spl10_73 ),
inference(superposition,[],[f202,f1593]) ).
fof(f1603,plain,
( $false
| ~ spl10_73 ),
inference(forward_subsumption_resolution,[],[f1595,f543]) ).
fof(f1604,plain,
~ spl10_73,
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1610,plain,
( e3 != op(e2,e2)
| ~ spl10_64 ),
inference(superposition,[],[f188,f1342]) ).
fof(f1619,plain,
( $false
| ~ spl10_45
| ~ spl10_64 ),
inference(forward_subsumption_resolution,[],[f1610,f569]) ).
fof(f1620,plain,
( ~ spl10_45
| ~ spl10_64 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
fof(f1633,plain,
( e3 != op(e0,e3)
| ~ spl10_60 ),
inference(superposition,[],[f183,f1301]) ).
fof(f1637,plain,
( $false
| ~ spl10_56
| ~ spl10_60 ),
inference(forward_subsumption_resolution,[],[f1633,f1068]) ).
fof(f1638,plain,
( ~ spl10_56
| ~ spl10_60 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1643,plain,
( e1 != op(e3,e3)
| ~ spl10_61 ),
inference(superposition,[],[f177,f1305]) ).
fof(f1651,plain,
( $false
| spl10_50
| spl10_51
| ~ spl10_61 ),
inference(forward_subsumption_resolution,[],[f1643,f1093]) ).
fof(f1652,plain,
( spl10_50
| spl10_51
| ~ spl10_61 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1776,plain,
( e3 = op(e3,e2)
| ~ spl10_54 ),
inference(superposition,[],[f59,f734]) ).
fof(f1789,plain,
( $false
| ~ spl10_54
| spl10_71 ),
inference(forward_subsumption_resolution,[],[f1776,f1433]) ).
fof(f1790,plain,
( ~ spl10_54
| spl10_71 ),
inference(avatar_contradiction_clause,[],[f1789]) ).
fof(f1806,plain,
( $false
| spl10_45 ),
inference(global_subsumption,[],[f568,f1292]) ).
fof(f1807,plain,
spl10_45,
inference(avatar_contradiction_clause,[],[f1806]) ).
fof(f1913,plain,
( e0 = e1
| e1 = op(e3,e3)
| spl10_50
| ~ spl10_58 ),
inference(forward_demodulation,[],[f1058,f1048]) ).
fof(f1914,plain,
( e1 = op(e3,e3)
| spl10_50
| ~ spl10_58 ),
inference(forward_subsumption_resolution,[],[f1913,f226]) ).
fof(f1915,plain,
( e1 = e3
| ~ spl10_44
| spl10_50
| ~ spl10_58 ),
inference(superposition,[],[f1914,f565]) ).
fof(f1928,plain,
( $false
| ~ spl10_44
| spl10_50
| ~ spl10_58 ),
inference(forward_subsumption_resolution,[],[f1915,f221]) ).
fof(f1929,plain,
( ~ spl10_44
| spl10_50
| ~ spl10_58 ),
inference(avatar_contradiction_clause,[],[f1928]) ).
fof(f1936,plain,
( e0 = e3
| ~ spl10_44
| ~ spl10_57 ),
inference(superposition,[],[f1044,f565]) ).
fof(f1949,plain,
( $false
| ~ spl10_44
| ~ spl10_57 ),
inference(forward_subsumption_resolution,[],[f1936,f224]) ).
fof(f1950,plain,
( ~ spl10_44
| ~ spl10_57 ),
inference(avatar_contradiction_clause,[],[f1949]) ).
cnf(s628,plain,
( ~ spl10_45
| ~ spl10_50 ),
inference(sat_conversion,[],[f684]) ).
cnf(s665,plain,
( spl10_52
| spl10_53
| spl10_54
| spl10_55
| spl10_56 ),
inference(sat_conversion,[],[f743]) ).
cnf(s675,plain,
~ spl10_52,
inference(sat_conversion,[],[f763]) ).
cnf(s725,plain,
~ spl10_55,
inference(sat_conversion,[],[f854]) ).
cnf(s882,plain,
( spl10_44
| ~ spl10_53 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s910,plain,
( ~ spl10_45
| spl10_57
| spl10_58 ),
inference(sat_conversion,[],[f1049]) ).
cnf(s944,plain,
( ~ spl10_51
| ~ spl10_56 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s1010,plain,
( spl10_17
| ~ spl10_56 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s1076,plain,
( spl10_59
| spl10_60
| spl10_61
| spl10_62 ),
inference(sat_conversion,[],[f1310]) ).
cnf(s1081,plain,
( ~ spl10_56
| ~ spl10_59 ),
inference(sat_conversion,[],[f1321]) ).
cnf(s1097,plain,
( ~ spl10_62
| spl10_63
| spl10_64
| spl10_65 ),
inference(sat_conversion,[],[f1347]) ).
cnf(s1101,plain,
( ~ spl10_56
| ~ spl10_63 ),
inference(sat_conversion,[],[f1359]) ).
cnf(s1112,plain,
( spl10_66
| spl10_67
| spl10_68
| spl10_69 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s1115,plain,
( ~ spl10_56
| ~ spl10_66 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s1133,plain,
( spl10_50
| spl10_51
| ~ spl10_69
| spl10_70
| spl10_71
| spl10_72 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s1143,plain,
( ~ spl10_9
| ~ spl10_45
| ~ spl10_70 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s1150,plain,
( ~ spl10_17
| ~ spl10_56
| ~ spl10_72 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s1157,plain,
( ~ spl10_45
| ~ spl10_71 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s1167,plain,
( spl10_50
| spl10_51
| ~ spl10_68 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s1174,plain,
( ~ spl10_56
| ~ spl10_67 ),
inference(sat_conversion,[],[f1528]) ).
cnf(s1194,plain,
( spl10_9
| spl10_11
| ~ spl10_17
| ~ spl10_45
| ~ spl10_56 ),
inference(sat_conversion,[],[f1562]) ).
cnf(s1214,plain,
( ~ spl10_11
| ~ spl10_65
| spl10_73 ),
inference(sat_conversion,[],[f1594]) ).
cnf(s1219,plain,
~ spl10_73,
inference(sat_conversion,[],[f1604]) ).
cnf(s1230,plain,
( ~ spl10_45
| ~ spl10_64 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s1240,plain,
( ~ spl10_56
| ~ spl10_60 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s1247,plain,
( spl10_50
| spl10_51
| ~ spl10_61 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s1360,plain,
( ~ spl10_54
| spl10_71 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s1386,plain,
spl10_45,
inference(sat_conversion,[],[f1807]) ).
cnf(s1507,plain,
( ~ spl10_44
| spl10_50
| ~ spl10_58 ),
inference(sat_conversion,[],[f1929]) ).
cnf(s1527,plain,
( ~ spl10_44
| ~ spl10_57 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s1533,plain,
~ spl10_64,
inference(rat,[],[s1230,s1386]) ).
cnf(s1534,plain,
( ~ spl10_11
| ~ spl10_65 ),
inference(rat,[],[s1214,s1219]) ).
cnf(s1535,plain,
( spl10_9
| spl10_11
| ~ spl10_17
| ~ spl10_56 ),
inference(rat,[],[s1194,s1386]) ).
cnf(s1536,plain,
~ spl10_71,
inference(rat,[],[s1157,s1386]) ).
cnf(s1537,plain,
~ spl10_54,
inference(rat,[],[s1360,s1536]) ).
cnf(s1538,plain,
( ~ spl10_9
| ~ spl10_70 ),
inference(rat,[],[s1143,s1386]) ).
cnf(s1539,plain,
( spl10_50
| spl10_51
| ~ spl10_69
| spl10_70
| spl10_72 ),
inference(rat,[],[s1133,s1536]) ).
cnf(s1540,plain,
( ~ spl10_62
| spl10_63
| spl10_65 ),
inference(rat,[],[s1097,s1533]) ).
cnf(s1546,plain,
( spl10_57
| spl10_58 ),
inference(rat,[],[s910,s1386]) ).
cnf(s1547,plain,
( spl10_53
| spl10_56 ),
inference(rat,[],[s665,s725,s1537,s675]) ).
cnf(s1548,plain,
~ spl10_50,
inference(rat,[],[s628,s1386]) ).
cnf(s1549,plain,
~ spl10_44,
inference(rat,[],[s1546,s1507,s1527,s1548]) ).
cnf(s1550,plain,
~ spl10_53,
inference(rat,[],[s882,s1549]) ).
cnf(s1551,plain,
spl10_56,
inference(rat,[],[s1547,s1550]) ).
cnf(s1552,plain,
~ spl10_60,
inference(rat,[],[s1240,s1551]) ).
cnf(s1553,plain,
~ spl10_67,
inference(rat,[],[s1174,s1551]) ).
cnf(s1554,plain,
~ spl10_66,
inference(rat,[],[s1115,s1551]) ).
cnf(s1555,plain,
~ spl10_63,
inference(rat,[],[s1101,s1551]) ).
cnf(s1556,plain,
~ spl10_59,
inference(rat,[],[s1081,s1551]) ).
cnf(s1558,plain,
spl10_17,
inference(rat,[],[s1010,s1551]) ).
cnf(s1559,plain,
~ spl10_51,
inference(rat,[],[s944,s1551]) ).
cnf(s1565,plain,
~ spl10_72,
inference(rat,[],[s1150,s1551,s1558]) ).
cnf(s1566,plain,
~ spl10_61,
inference(rat,[],[s1247,s1548,s1559]) ).
cnf(s1567,plain,
~ spl10_68,
inference(rat,[],[s1167,s1548,s1559]) ).
cnf(s1569,plain,
spl10_62,
inference(rat,[],[s1076,s1552,s1556,s1566]) ).
cnf(s1570,plain,
spl10_69,
inference(rat,[],[s1112,s1554,s1553,s1567]) ).
cnf(s1573,plain,
spl10_65,
inference(rat,[],[s1540,s1555,s1569]) ).
cnf(s1574,plain,
spl10_70,
inference(rat,[],[s1539,s1565,s1559,s1548,s1570]) ).
cnf(s1576,plain,
~ spl10_11,
inference(rat,[],[s1534,s1573]) ).
cnf(s1577,plain,
~ spl10_9,
inference(rat,[],[s1538,s1574]) ).
cnf(s1578,plain,
$false,
inference(rat,[],[s1535,s1551,s1558,s1577,s1576]) ).
fof(f1951,plain,
$false,
inference(avatar_sat_refutation,[],[s1578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG061+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n013.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:23:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.34 % (1473240)Will run a generic schedule for satisfiability detection.
% 0.20/0.34 % (1473249)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1425085563:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.34 % (1473246)% WARNING: option uhcvi not known.
% 0.20/0.34 % (1473250)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1434505789:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.34 % (1473245)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3400299602_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.34 % (1473246)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1438472924:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.34 % (1473247)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1451464553:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.34 % (1473248)dis+10_1_sil=32000:sp=arity:random_seed=1012778168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.34 % (1473251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1929435374:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.34 % Detected minimum model sizes of [5]
% 0.20/0.34 % Detected maximum model sizes of [max]
% 0.20/0.34 % TRYING [5]
% 0.20/0.34 % (1473249)Instruction limit reached!
% 0.20/0.34 % (1473249)------------------------------
% 0.20/0.34 % (1473249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1473249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1473249)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1473249)Termination reason: Instruction limit
% 0.20/0.34 % (1473249)Termination phase: Saturation
% 0.20/0.34 % (1473249)Time elapsed: 0.034 s
% 0.20/0.34 % (1473249)Peak memory usage: 13 MB
% 0.20/0.34 % (1473249)Instructions burned: 119 (million)
% 0.20/0.34 % (1473259)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=407100407:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.34 % (1473247) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1473240-1473247"...
% 0.20/0.34 % TRYING [6]
% 0.20/0.34 % Detected minimum model sizes of [5]
% 0.20/0.34 % Detected maximum model sizes of [max]
% 0.20/0.34 % TRYING [5]
% 0.20/0.34 % (1473248)Instruction limit reached!
% 0.20/0.34 % (1473248)------------------------------
% 0.20/0.34 % (1473248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1473248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1473248)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1473248)Termination reason: Instruction limit
% 0.20/0.34 % (1473248)Termination phase: Saturation
% 0.20/0.34 % (1473248)Time elapsed: 0.056 s
% 0.20/0.34 % (1473248)Peak memory usage: 12 MB
% 0.20/0.34 % (1473248)Instructions burned: 108 (million)
% 0.20/0.34 % (1473247)...printing done.
% 0.20/0.34 % (1473247)Refutation found. Thanks to Tanya!
% 0.20/0.34 % SZS status Theorem for theBenchmark
% 0.20/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.34 % (1473247)------------------------------
% 0.20/0.34 % (1473247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1473247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1473247)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1473247)Termination reason: Refutation
% 0.20/0.34 % (1473247)Time elapsed: 0.057 s
% 0.20/0.34 % (1473247)Peak memory usage: 13 MB
% 0.20/0.34 % (1473247)Instructions burned: 107 (million)
% 0.20/0.34 % (1473240)Success in time 0.097 s
% 0.20/0.34 % Vampire exiting
%------------------------------------------------------------------------------