%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG064+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 09:21:12 AM UTC 2026
% Result : Theorem 0.90s 0.37s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 93
% Syntax : Number of formulae : 689 ( 148 unt; 87 def)
% Number of atoms : 2524 (1246 equ)
% Maximal formula atoms : 125 ( 3 avg)
% Number of connectives : 3053 (1218 ~;1359 |; 413 &)
% ( 63 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 89 ( 87 usr; 88 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,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,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,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,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,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 ) ) ),
inference(flattening,[],[f8]) ).
fof(f10,definition,
( ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,definition,
( ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f12,definition,
( ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f13,definition,
( ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f14,definition,
( ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f15,definition,
( ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f16,definition,
( ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f17,definition,
( ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f18,definition,
( ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f19,definition,
( ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f20,definition,
( ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f21,definition,
( ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f34,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,e0) != op(e0,e0)
& op(op(e0,e0),e0) = e0
& op(op(e0,e0),e0) != e0 )
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f35,plain,
( ( op(e1,e0) != op(e0,e1)
& op(op(e0,e1),e1) = e0
& op(op(e0,e1),e0) != e1 )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
( ( op(e2,e0) != op(e0,e2)
& op(op(e0,e2),e2) = e0
& op(op(e0,e2),e0) != e2 )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f37,plain,
( ( op(e3,e0) != op(e0,e3)
& op(op(e0,e3),e3) = e0
& op(op(e0,e3),e0) != e3 )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f38,plain,
( ( op(e4,e0) != op(e0,e4)
& op(op(e0,e4),e4) = e0
& op(op(e0,e4),e0) != e4 )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f39,plain,
( ( op(e0,e1) != op(e1,e0)
& op(op(e1,e0),e0) = e1
& op(op(e1,e0),e1) != e0 )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f40,plain,
( ( op(e1,e1) != op(e1,e1)
& op(op(e1,e1),e1) = e1
& op(op(e1,e1),e1) != e1 )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f41,plain,
( ( op(e2,e1) != op(e1,e2)
& op(op(e1,e2),e2) = e1
& op(op(e1,e2),e1) != e2 )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f42,plain,
( ( op(e3,e1) != op(e1,e3)
& op(op(e1,e3),e3) = e1
& op(op(e1,e3),e1) != e3 )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f43,plain,
( ( op(e4,e1) != op(e1,e4)
& op(op(e1,e4),e4) = e1
& op(op(e1,e4),e1) != e4 )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f44,plain,
( ( op(e0,e2) != op(e2,e0)
& op(op(e2,e0),e0) = e2
& op(op(e2,e0),e2) != e0 )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f45,plain,
( ( op(e1,e2) != op(e2,e1)
& op(op(e2,e1),e1) = e2
& op(op(e2,e1),e2) != e1 )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f46,plain,
( ( op(e2,e2) != op(e2,e2)
& op(op(e2,e2),e2) = e2
& op(op(e2,e2),e2) != e2 )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f47,plain,
( ( op(e3,e2) != op(e2,e3)
& op(op(e2,e3),e3) = e2
& op(op(e2,e3),e2) != e3 )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f48,plain,
( ( op(e4,e2) != op(e2,e4)
& op(op(e2,e4),e4) = e2
& op(op(e2,e4),e2) != e4 )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f49,plain,
( ( op(e0,e3) != op(e3,e0)
& op(op(e3,e0),e0) = e3
& op(op(e3,e0),e3) != e0 )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f50,plain,
( ( op(e1,e3) != op(e3,e1)
& op(op(e3,e1),e1) = e3
& op(op(e3,e1),e3) != e1 )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f51,plain,
( ( op(e2,e3) != op(e3,e2)
& op(op(e3,e2),e2) = e3
& op(op(e3,e2),e3) != e2 )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f52,plain,
( ( op(e3,e3) != op(e3,e3)
& op(op(e3,e3),e3) = e3
& op(op(e3,e3),e3) != e3 )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f53,plain,
( ( op(e4,e3) != op(e3,e4)
& op(op(e3,e4),e4) = e3
& op(op(e3,e4),e3) != e4 )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f54,plain,
( ( op(e0,e4) != op(e4,e0)
& op(op(e4,e0),e0) = e4
& op(op(e4,e0),e4) != e0 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f55,plain,
( ( op(e1,e4) != op(e4,e1)
& op(op(e4,e1),e1) = e4
& op(op(e4,e1),e4) != e1 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f56,plain,
( ( op(e2,e4) != op(e4,e2)
& op(op(e4,e2),e2) = e4
& op(op(e4,e2),e4) != e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
( ( op(e3,e4) != op(e4,e3)
& op(op(e4,e3),e3) = e4
& op(op(e4,e3),e4) != e3 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f58,plain,
( ( op(e4,e4) != op(e4,e4)
& op(op(e4,e4),e4) = e4
& op(op(e4,e4),e4) != e4 )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f60,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(f61,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(f62,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,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(f66,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(f67,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e0 = op(e2,e4)
| e1 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e0 = op(e1,e4)
| e1 = op(e1,e4)
| e2 = op(e1,e4)
| e3 = op(e1,e4)
| e4 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( e0 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
( e0 = unit
| e1 = unit
| e2 = unit
| e3 = unit
| e4 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f148,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e3,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f197,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f199,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f204,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f214,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f217,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f229,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f246,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f248,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f249,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f250,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f251,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f252,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f253,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f254,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f255,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f256,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f257,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f258,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f260,plain,
( e0 = op(op(e0,e1),e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f35]) ).
fof(f264,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f267,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f37]) ).
fof(f269,plain,
( e0 = op(op(e0,e4),e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f38]) ).
fof(f273,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP19 ),
inference(cnf_transformation,[],[f39]) ).
fof(f276,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP18 ),
inference(cnf_transformation,[],[f40]) ).
fof(f279,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f41]) ).
fof(f282,plain,
( op(e1,e3) != op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f42]) ).
fof(f285,plain,
( op(e1,e4) != op(e4,e1)
| ~ sP15 ),
inference(cnf_transformation,[],[f43]) ).
fof(f288,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP14 ),
inference(cnf_transformation,[],[f44]) ).
fof(f291,plain,
( op(e1,e2) != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f45]) ).
fof(f294,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f46]) ).
fof(f297,plain,
( op(e2,e3) != op(e3,e2)
| ~ sP11 ),
inference(cnf_transformation,[],[f47]) ).
fof(f300,plain,
( op(e2,e4) != op(e4,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f48]) ).
fof(f303,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f49]) ).
fof(f305,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP8 ),
inference(cnf_transformation,[],[f50]) ).
fof(f308,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f51]) ).
fof(f312,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP6 ),
inference(cnf_transformation,[],[f52]) ).
fof(f315,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP5 ),
inference(cnf_transformation,[],[f53]) ).
fof(f318,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f54]) ).
fof(f320,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f55]) ).
fof(f323,plain,
( e4 = op(op(e4,e2),e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f56]) ).
fof(f327,plain,
( op(e3,e4) != op(e4,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f330,plain,
( op(e4,e4) != op(e4,e4)
| ~ sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f331,plain,
( e0 != op(op(e0,e0),e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f332,plain,
( e0 = op(op(e0,e0),e0)
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f337,plain,
( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f338,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f34]) ).
fof(f340,plain,
~ sP0,
inference(trivial_inequality_removal,[],[f330]) ).
fof(f341,plain,
~ sP6,
inference(trivial_inequality_removal,[],[f312]) ).
fof(f342,plain,
~ sP12,
inference(trivial_inequality_removal,[],[f294]) ).
fof(f343,plain,
~ sP18,
inference(trivial_inequality_removal,[],[f276]) ).
fof(f344,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(global_subsumption,[],[f332,f331]) ).
fof(f351,plain,
e4 = op(e1,e1),
inference(global_subsumption,[],[f255]) ).
fof(f352,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption,[],[f344,f343,f342,f341,f340]) ).
fof(f354,definition,
( spl24_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f356,plain,
( sP1
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl24_2
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f362,definition,
( spl24_3
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f366,definition,
( spl24_4
<=> sP4 ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f370,definition,
( spl24_5
<=> sP5 ),
introduced(definition,[new_symbols(definition,[spl24_5])],[avatar_definition]) ).
fof(f374,definition,
( spl24_6
<=> sP7 ),
introduced(definition,[new_symbols(definition,[spl24_6])],[avatar_definition]) ).
fof(f378,definition,
( spl24_7
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl24_7])],[avatar_definition]) ).
fof(f382,definition,
( spl24_8
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl24_8])],[avatar_definition]) ).
fof(f386,definition,
( spl24_9
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl24_9])],[avatar_definition]) ).
fof(f390,definition,
( spl24_10
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl24_10])],[avatar_definition]) ).
fof(f394,definition,
( spl24_11
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f396,plain,
( sP13
| ~ spl24_11 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,definition,
( spl24_12
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl24_12])],[avatar_definition]) ).
fof(f402,definition,
( spl24_13
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl24_13])],[avatar_definition]) ).
fof(f406,definition,
( spl24_14
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f410,definition,
( spl24_15
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).
fof(f414,definition,
( spl24_16
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl24_16])],[avatar_definition]) ).
fof(f418,definition,
( spl24_17
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl24_17])],[avatar_definition]) ).
fof(f422,definition,
( spl24_18
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl24_18])],[avatar_definition]) ).
fof(f426,definition,
( spl24_19
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl24_19])],[avatar_definition]) ).
fof(f430,definition,
( spl24_20
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl24_20])],[avatar_definition]) ).
fof(f433,plain,
( spl24_1
| spl24_2
| spl24_3
| spl24_4
| spl24_5
| spl24_6
| spl24_7
| spl24_8
| spl24_9
| spl24_10
| spl24_11
| spl24_12
| spl24_13
| spl24_14
| spl24_15
| spl24_16
| spl24_17
| spl24_18
| spl24_19
| spl24_20 ),
inference(avatar_split_clause,[],[f352,f430,f426,f422,f418,f414,f410,f406,f402,f398,f394,f390,f386,f382,f378,f374,f370,f366,f362,f358,f354]) ).
fof(f434,plain,
e4 = op(e1,e1),
inference(global_subsumption,[],[f351]) ).
fof(f451,definition,
( spl24_24
<=> op(e0,e2) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl24_24])],[avatar_definition]) ).
fof(f452,plain,
( op(e0,e2) = op(e2,e0)
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( op(e0,e2) != op(e2,e0)
| spl24_24 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f454,plain,
( ~ spl24_19
| ~ spl24_24 ),
inference(avatar_split_clause,[],[f264,f451,f426]) ).
fof(f461,definition,
( spl24_26
<=> op(e0,e3) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl24_26])],[avatar_definition]) ).
fof(f463,plain,
( op(e0,e3) != op(e3,e0)
| spl24_26 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,plain,
( ~ spl24_18
| ~ spl24_26 ),
inference(avatar_split_clause,[],[f267,f461,f422]) ).
fof(f486,definition,
( spl24_31
<=> op(e1,e2) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl24_31])],[avatar_definition]) ).
fof(f488,plain,
( op(e1,e2) != op(e2,e1)
| spl24_31 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f489,plain,
( ~ spl24_15
| ~ spl24_31 ),
inference(avatar_split_clause,[],[f279,f486,f410]) ).
fof(f496,definition,
( spl24_33
<=> op(e1,e3) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl24_33])],[avatar_definition]) ).
fof(f498,plain,
( op(e1,e3) != op(e3,e1)
| spl24_33 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f499,plain,
( ~ spl24_14
| ~ spl24_33 ),
inference(avatar_split_clause,[],[f282,f496,f406]) ).
fof(f506,definition,
( spl24_35
<=> op(e1,e4) = op(e4,e1) ),
introduced(definition,[new_symbols(definition,[spl24_35])],[avatar_definition]) ).
fof(f508,plain,
( op(e1,e4) != op(e4,e1)
| spl24_35 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( ~ spl24_13
| ~ spl24_35 ),
inference(avatar_split_clause,[],[f285,f506,f402]) ).
fof(f528,definition,
( spl24_39
<=> op(e2,e3) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_39])],[avatar_definition]) ).
fof(f530,plain,
( op(e2,e3) != op(e3,e2)
| spl24_39 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,plain,
( ~ spl24_10
| ~ spl24_39 ),
inference(avatar_split_clause,[],[f297,f528,f390]) ).
fof(f538,definition,
( spl24_41
<=> op(e2,e4) = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_41])],[avatar_definition]) ).
fof(f539,plain,
( op(e2,e4) = op(e4,e2)
| ~ spl24_41 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( op(e2,e4) != op(e4,e2)
| spl24_41 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,plain,
( ~ spl24_9
| ~ spl24_41 ),
inference(avatar_split_clause,[],[f300,f538,f386]) ).
fof(f563,definition,
( spl24_46
<=> op(e3,e4) = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_46])],[avatar_definition]) ).
fof(f565,plain,
( op(e3,e4) != op(e4,e3)
| spl24_46 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f566,plain,
( ~ spl24_5
| ~ spl24_46 ),
inference(avatar_split_clause,[],[f315,f563,f370]) ).
fof(f588,definition,
( spl24_51
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_51])],[avatar_definition]) ).
fof(f589,plain,
( e3 != op(e3,e3)
| spl24_51 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f590,plain,
( e3 = op(e3,e3)
| ~ spl24_51 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f592,definition,
( spl24_52
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_52])],[avatar_definition]) ).
fof(f593,plain,
( e3 != op(e2,e2)
| spl24_52 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f594,plain,
( e3 = op(e2,e2)
| ~ spl24_52 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f631,plain,
( e1 = e4
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(forward_demodulation,[],[f337,f434]) ).
fof(f632,plain,
( op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3)
| e1 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f631,f248]) ).
fof(f638,definition,
( spl24_57
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl24_57])],[avatar_definition]) ).
fof(f639,plain,
( e1 != op(e2,e2)
| spl24_57 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f640,plain,
( e1 = op(e2,e2)
| ~ spl24_57 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f642,definition,
( spl24_58
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl24_58])],[avatar_definition]) ).
fof(f643,plain,
( op(e0,e0) != e1
| spl24_58 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( op(e0,e0) = e1
| ~ spl24_58 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f650,plain,
( e0 = e4
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(forward_demodulation,[],[f338,f434]) ).
fof(f651,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e4,e4) ),
inference(forward_subsumption_resolution,[],[f650,f251]) ).
fof(f661,definition,
( spl24_59
<=> e0 = op(op(e0,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_59])],[avatar_definition]) ).
fof(f663,plain,
( e0 = op(op(e0,e1),e1)
| ~ spl24_59 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f664,plain,
( ~ spl24_20
| spl24_59 ),
inference(avatar_split_clause,[],[f260,f661,f430]) ).
fof(f676,definition,
( spl24_62
<=> e0 = op(op(e0,e4),e4) ),
introduced(definition,[new_symbols(definition,[spl24_62])],[avatar_definition]) ).
fof(f678,plain,
( e0 = op(op(e0,e4),e4)
| ~ spl24_62 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f679,plain,
( ~ spl24_17
| spl24_62 ),
inference(avatar_split_clause,[],[f269,f676,f418]) ).
fof(f726,definition,
( spl24_72
<=> e3 = op(op(e3,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_72])],[avatar_definition]) ).
fof(f728,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl24_72 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f729,plain,
( ~ spl24_7
| spl24_72 ),
inference(avatar_split_clause,[],[f305,f726,f378]) ).
fof(f731,definition,
( spl24_73
<=> e3 = op(op(e3,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl24_73])],[avatar_definition]) ).
fof(f733,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl24_73 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( ~ spl24_6
| spl24_73 ),
inference(avatar_split_clause,[],[f308,f731,f374]) ).
fof(f746,definition,
( spl24_76
<=> e4 = op(op(e4,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl24_76])],[avatar_definition]) ).
fof(f747,plain,
( e4 != op(op(e4,e1),e1)
| spl24_76 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f748,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl24_76 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f749,plain,
( ~ spl24_3
| spl24_76 ),
inference(avatar_split_clause,[],[f320,f746,f362]) ).
fof(f751,definition,
( spl24_77
<=> e4 = op(op(e4,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl24_77])],[avatar_definition]) ).
fof(f753,plain,
( e4 = op(op(e4,e2),e2)
| ~ spl24_77 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f754,plain,
( ~ spl24_2
| spl24_77 ),
inference(avatar_split_clause,[],[f323,f751,f358]) ).
fof(f756,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[],[f257,f434]) ).
fof(f758,plain,
e2 != op(e4,e3),
inference(superposition,[],[f145,f756]) ).
fof(f759,plain,
e2 != op(e4,e2),
inference(superposition,[],[f146,f756]) ).
fof(f760,plain,
e2 != op(e4,e1),
inference(superposition,[],[f148,f756]) ).
fof(f762,plain,
e2 != op(e3,e4),
inference(superposition,[],[f195,f756]) ).
fof(f763,plain,
e2 != op(e2,e4),
inference(superposition,[],[f196,f756]) ).
fof(f764,plain,
e2 != op(e1,e4),
inference(superposition,[],[f198,f756]) ).
fof(f788,plain,
( e1 = e3
| ~ spl24_52
| ~ spl24_57 ),
inference(forward_demodulation,[],[f594,f640]) ).
fof(f790,plain,
( $false
| ~ spl24_52
| ~ spl24_57 ),
inference(forward_subsumption_resolution,[],[f788,f249]) ).
fof(f791,plain,
( ~ spl24_52
| ~ spl24_57 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f807,plain,
e0 = op(e1,op(e4,e4)),
inference(forward_demodulation,[],[f258,f434]) ).
fof(f808,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f807,f756]) ).
fof(f819,definition,
( spl24_78
<=> e4 = unit ),
introduced(definition,[new_symbols(definition,[spl24_78])],[avatar_definition]) ).
fof(f821,plain,
( e4 = unit
| ~ spl24_78 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f823,definition,
( spl24_79
<=> e3 = unit ),
introduced(definition,[new_symbols(definition,[spl24_79])],[avatar_definition]) ).
fof(f825,plain,
( e3 = unit
| ~ spl24_79 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f827,definition,
( spl24_80
<=> e2 = unit ),
introduced(definition,[new_symbols(definition,[spl24_80])],[avatar_definition]) ).
fof(f829,plain,
( e2 = unit
| ~ spl24_80 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f831,definition,
( spl24_81
<=> e1 = unit ),
introduced(definition,[new_symbols(definition,[spl24_81])],[avatar_definition]) ).
fof(f833,plain,
( e1 = unit
| ~ spl24_81 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f835,definition,
( spl24_82
<=> e0 = unit ),
introduced(definition,[new_symbols(definition,[spl24_82])],[avatar_definition]) ).
fof(f837,plain,
( e0 = unit
| ~ spl24_82 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f838,plain,
( spl24_78
| spl24_79
| spl24_80
| spl24_81
| spl24_82 ),
inference(avatar_split_clause,[],[f84,f835,f831,f827,f823,f819]) ).
fof(f839,plain,
( e4 = op(e4,e4)
| ~ spl24_78 ),
inference(superposition,[],[f85,f821]) ).
fof(f854,plain,
( e2 = e4
| ~ spl24_78 ),
inference(forward_demodulation,[],[f839,f756]) ).
fof(f857,plain,
( $false
| ~ spl24_78 ),
inference(forward_subsumption_resolution,[],[f854,f246]) ).
fof(f858,plain,
~ spl24_78,
inference(avatar_contradiction_clause,[],[f857]) ).
fof(f933,plain,
( e2 = op(e1,e2)
| ~ spl24_81 ),
inference(superposition,[],[f90,f833]) ).
fof(f946,plain,
( e0 = e2
| ~ spl24_81 ),
inference(forward_demodulation,[],[f933,f808]) ).
fof(f951,plain,
( $false
| ~ spl24_81 ),
inference(forward_subsumption_resolution,[],[f946,f253]) ).
fof(f952,plain,
~ spl24_81,
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f953,plain,
( op(e3,e4) != op(e4,e3)
| ~ spl24_1 ),
inference(forward_subsumption_resolution,[],[f327,f356]) ).
fof(f954,plain,
( ~ spl24_46
| ~ spl24_1 ),
inference(avatar_split_clause,[],[f953,f354,f563]) ).
fof(f1099,plain,
( e4 = op(e4,e0)
| ~ spl24_82 ),
inference(superposition,[],[f85,f837]) ).
fof(f1100,plain,
( e4 = op(e0,e4)
| ~ spl24_82 ),
inference(superposition,[],[f86,f837]) ).
fof(f1101,plain,
( e3 = op(e3,e0)
| ~ spl24_82 ),
inference(superposition,[],[f87,f837]) ).
fof(f1102,plain,
( e3 = op(e0,e3)
| ~ spl24_82 ),
inference(superposition,[],[f88,f837]) ).
fof(f1133,plain,
( e4 != op(e0,e4)
| ~ sP4
| ~ spl24_82 ),
inference(forward_demodulation,[],[f318,f1099]) ).
fof(f1134,plain,
( ~ sP4
| ~ spl24_82 ),
inference(global_subsumption,[],[f1133,f1100]) ).
fof(f1135,plain,
( ~ spl24_4
| ~ spl24_82 ),
inference(avatar_split_clause,[],[f1134,f835,f366]) ).
fof(f1152,plain,
( e3 != op(e0,e3)
| spl24_26
| ~ spl24_82 ),
inference(superposition,[],[f463,f1101]) ).
fof(f1159,plain,
( $false
| spl24_26
| ~ spl24_82 ),
inference(global_subsumption,[],[f1152,f1102]) ).
fof(f1160,plain,
( spl24_26
| ~ spl24_82 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1166,plain,
( e3 = op(e3,e3)
| ~ spl24_79 ),
inference(superposition,[],[f87,f825]) ).
fof(f1184,plain,
( $false
| spl24_51
| ~ spl24_79 ),
inference(forward_subsumption_resolution,[],[f1166,f589]) ).
fof(f1185,plain,
( spl24_51
| ~ spl24_79 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
fof(f1186,plain,
( e0 = e2
| e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3) ),
inference(forward_demodulation,[],[f651,f756]) ).
fof(f1187,plain,
( e1 = e2
| op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3) ),
inference(forward_demodulation,[],[f632,f756]) ).
fof(f1188,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3) ),
inference(forward_subsumption_resolution,[],[f1186,f253]) ).
fof(f1189,plain,
( op(e0,e0) = e1
| e1 = op(e2,e2)
| e1 = op(e3,e3) ),
inference(forward_subsumption_resolution,[],[f1187,f250]) ).
fof(f1190,plain,
( ~ spl24_8
| ~ spl24_26 ),
inference(avatar_split_clause,[],[f303,f461,f382]) ).
fof(f1195,plain,
( e3 != op(e2,e1)
| ~ spl24_52 ),
inference(superposition,[],[f170,f594]) ).
fof(f1197,plain,
( e0 = e3
| e0 = op(e0,e0)
| e0 = op(e3,e3)
| ~ spl24_52 ),
inference(forward_demodulation,[],[f1188,f594]) ).
fof(f1198,plain,
( e0 = op(e0,e0)
| e0 = op(e3,e3)
| ~ spl24_52 ),
inference(forward_subsumption_resolution,[],[f1197,f252]) ).
fof(f1200,definition,
( spl24_83
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl24_83])],[avatar_definition]) ).
fof(f1202,plain,
( e0 = op(e3,e3)
| ~ spl24_83 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1204,definition,
( spl24_84
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl24_84])],[avatar_definition]) ).
fof(f1206,plain,
( e0 = op(e0,e0)
| ~ spl24_84 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1207,plain,
( spl24_83
| spl24_84
| ~ spl24_52 ),
inference(avatar_split_clause,[],[f1198,f592,f1204,f1200]) ).
fof(f1217,plain,
( op(e0,e0) = e1
| e1 = op(e3,e3)
| spl24_57 ),
inference(forward_subsumption_resolution,[],[f1189,f639]) ).
fof(f1224,plain,
( e4 = op(e4,e0)
| ~ spl24_82 ),
inference(superposition,[],[f85,f837]) ).
fof(f1225,plain,
( e4 = op(e0,e4)
| ~ spl24_82 ),
inference(superposition,[],[f86,f837]) ).
fof(f1226,plain,
( e3 = op(e3,e0)
| ~ spl24_82 ),
inference(superposition,[],[f87,f837]) ).
fof(f1227,plain,
( e3 = op(e0,e3)
| ~ spl24_82 ),
inference(superposition,[],[f88,f837]) ).
fof(f1228,plain,
( e2 = op(e2,e0)
| ~ spl24_82 ),
inference(superposition,[],[f89,f837]) ).
fof(f1229,plain,
( e2 = op(e0,e2)
| ~ spl24_82 ),
inference(superposition,[],[f90,f837]) ).
fof(f1230,plain,
( e1 = op(e1,e0)
| ~ spl24_82 ),
inference(superposition,[],[f91,f837]) ).
fof(f1231,plain,
( e1 = op(e0,e1)
| ~ spl24_82 ),
inference(superposition,[],[f92,f837]) ).
fof(f1232,plain,
( e0 = op(e0,e0)
| ~ spl24_82 ),
inference(superposition,[],[f93,f837]) ).
fof(f1239,plain,
( e0 = e1
| ~ spl24_58
| ~ spl24_82 ),
inference(forward_demodulation,[],[f1232,f644]) ).
fof(f1246,plain,
( $false
| ~ spl24_58
| ~ spl24_82 ),
inference(forward_subsumption_resolution,[],[f1239,f254]) ).
fof(f1247,plain,
( ~ spl24_58
| ~ spl24_82 ),
inference(avatar_contradiction_clause,[],[f1246]) ).
fof(f1252,plain,
( e1 = op(e3,e3)
| spl24_57
| spl24_58 ),
inference(forward_subsumption_resolution,[],[f1217,f643]) ).
fof(f1253,plain,
( e1 != op(e3,e2)
| spl24_57
| spl24_58 ),
inference(superposition,[],[f157,f1252]) ).
fof(f1254,plain,
( e1 != op(e3,e1)
| spl24_57
| spl24_58 ),
inference(superposition,[],[f159,f1252]) ).
fof(f1256,plain,
( e1 != op(e2,e3)
| spl24_57
| spl24_58 ),
inference(superposition,[],[f207,f1252]) ).
fof(f1257,plain,
( e1 != op(e1,e3)
| spl24_57
| spl24_58 ),
inference(superposition,[],[f209,f1252]) ).
fof(f1263,plain,
( e4 != op(e4,e1)
| ~ spl24_82 ),
inference(superposition,[],[f154,f1224]) ).
fof(f1290,plain,
( e4 != op(e1,e4)
| ~ spl24_82 ),
inference(superposition,[],[f204,f1225]) ).
fof(f1291,plain,
( e0 = op(e4,e4)
| ~ spl24_62
| ~ spl24_82 ),
inference(superposition,[],[f678,f1225]) ).
fof(f1308,plain,
( e3 != op(e1,e3)
| ~ spl24_82 ),
inference(superposition,[],[f214,f1227]) ).
fof(f1313,plain,
( e2 != op(e2,e1)
| ~ spl24_82 ),
inference(superposition,[],[f174,f1228]) ).
fof(f1316,plain,
( e2 != op(e0,e2)
| spl24_24
| ~ spl24_82 ),
inference(superposition,[],[f453,f1228]) ).
fof(f1324,plain,
( $false
| spl24_24
| ~ spl24_82 ),
inference(global_subsumption,[],[f1316,f1229]) ).
fof(f1325,plain,
( spl24_24
| ~ spl24_82 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1327,plain,
( e2 = op(e0,e2)
| ~ spl24_24
| ~ spl24_82 ),
inference(forward_demodulation,[],[f452,f1228]) ).
fof(f1328,plain,
( e2 != op(e0,e2)
| ~ sP14
| ~ spl24_82 ),
inference(forward_demodulation,[],[f288,f1228]) ).
fof(f1329,plain,
( ~ sP14
| ~ spl24_82 ),
inference(global_subsumption,[],[f1328,f1229]) ).
fof(f1330,plain,
( ~ spl24_12
| ~ spl24_82 ),
inference(avatar_split_clause,[],[f1329,f835,f398]) ).
fof(f1356,plain,
( e0 = op(e1,e1)
| ~ spl24_59
| ~ spl24_82 ),
inference(superposition,[],[f663,f1231]) ).
fof(f1369,plain,
( e1 != op(e0,e1)
| ~ sP19
| ~ spl24_82 ),
inference(forward_demodulation,[],[f273,f1230]) ).
fof(f1372,plain,
( ~ sP19
| ~ spl24_82 ),
inference(forward_subsumption_resolution,[],[f1369,f1231]) ).
fof(f1395,plain,
( ~ spl24_16
| ~ spl24_82 ),
inference(avatar_split_clause,[],[f1372,f835,f414]) ).
fof(f1413,plain,
( e0 = e2
| ~ spl24_62
| ~ spl24_82 ),
inference(superposition,[],[f1291,f756]) ).
fof(f1427,plain,
( $false
| ~ spl24_62
| ~ spl24_82 ),
inference(forward_subsumption_resolution,[],[f1413,f253]) ).
fof(f1428,plain,
( ~ spl24_62
| ~ spl24_82 ),
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1431,plain,
( e0 = e4
| ~ spl24_59
| ~ spl24_82 ),
inference(superposition,[],[f1356,f434]) ).
fof(f1435,plain,
( $false
| ~ spl24_59
| ~ spl24_82 ),
inference(forward_subsumption_resolution,[],[f1431,f251]) ).
fof(f1436,plain,
( ~ spl24_59
| ~ spl24_82 ),
inference(avatar_contradiction_clause,[],[f1435]) ).
fof(f1466,plain,
e3 = op(op(e4,e4),op(e4,e4)),
inference(forward_demodulation,[],[f256,f434]) ).
fof(f1467,plain,
e3 = op(e2,e2),
inference(forward_demodulation,[],[f1466,f756]) ).
fof(f1468,plain,
( e0 = op(e4,e3)
| e1 = op(e4,e3)
| e3 = op(e4,e3)
| e4 = op(e4,e3) ),
inference(forward_subsumption_resolution,[],[f60,f758]) ).
fof(f1476,definition,
( spl24_85
<=> e0 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_85])],[avatar_definition]) ).
fof(f1477,plain,
( e0 != op(e3,e4)
| spl24_85 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1478,plain,
( e0 = op(e3,e4)
| ~ spl24_85 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1480,definition,
( spl24_86
<=> e1 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_86])],[avatar_definition]) ).
fof(f1481,plain,
( e1 != op(e3,e4)
| spl24_86 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1482,plain,
( e1 = op(e3,e4)
| ~ spl24_86 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1506,plain,
( e1 != op(e3,e3)
| ~ spl24_86 ),
inference(superposition,[],[f155,f1482]) ).
fof(f1523,plain,
( $false
| spl24_57
| spl24_58
| ~ spl24_86 ),
inference(forward_subsumption_resolution,[],[f1506,f1252]) ).
fof(f1524,plain,
( spl24_57
| spl24_58
| ~ spl24_86 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1526,definition,
( spl24_87
<=> e4 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_87])],[avatar_definition]) ).
fof(f1528,plain,
( e4 = op(e4,e3)
| ~ spl24_87 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1530,definition,
( spl24_88
<=> e3 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_88])],[avatar_definition]) ).
fof(f1532,plain,
( e3 = op(e4,e3)
| ~ spl24_88 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1534,definition,
( spl24_89
<=> e1 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_89])],[avatar_definition]) ).
fof(f1536,plain,
( e1 = op(e4,e3)
| ~ spl24_89 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1538,definition,
( spl24_90
<=> e0 = op(e4,e3) ),
introduced(definition,[new_symbols(definition,[spl24_90])],[avatar_definition]) ).
fof(f1540,plain,
( e0 = op(e4,e3)
| ~ spl24_90 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1541,plain,
( spl24_87
| spl24_88
| spl24_89
| spl24_90 ),
inference(avatar_split_clause,[],[f1468,f1538,f1534,f1530,f1526]) ).
fof(f1544,plain,
( e4 != op(e4,e0)
| ~ spl24_87 ),
inference(superposition,[],[f152,f1528]) ).
fof(f1552,plain,
( $false
| ~ spl24_82
| ~ spl24_87 ),
inference(forward_subsumption_resolution,[],[f1544,f1224]) ).
fof(f1553,plain,
( ~ spl24_82
| ~ spl24_87 ),
inference(avatar_contradiction_clause,[],[f1552]) ).
fof(f1555,plain,
( e0 != op(e4,e1)
| ~ spl24_90 ),
inference(superposition,[],[f149,f1540]) ).
fof(f1566,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e3 = op(e4,e2)
| e4 = op(e4,e2) ),
inference(forward_subsumption_resolution,[],[f61,f759]) ).
fof(f1569,definition,
( spl24_91
<=> e4 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_91])],[avatar_definition]) ).
fof(f1570,plain,
( e4 != op(e4,e2)
| spl24_91 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1571,plain,
( e4 = op(e4,e2)
| ~ spl24_91 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1573,definition,
( spl24_92
<=> e3 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_92])],[avatar_definition]) ).
fof(f1574,plain,
( e3 != op(e4,e2)
| spl24_92 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1575,plain,
( e3 = op(e4,e2)
| ~ spl24_92 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1577,definition,
( spl24_93
<=> e1 = op(e4,e2) ),
introduced(definition,[new_symbols(definition,[spl24_93])],[avatar_definition]) ).
fof(f1578,plain,
( e1 != op(e4,e2)
| spl24_93 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1579,plain,
( e1 = op(e4,e2)
| ~ spl24_93 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1582,plain,
( e4 != op(e4,e0)
| ~ spl24_91 ),
inference(superposition,[],[f153,f1571]) ).
fof(f1597,plain,
( $false
| ~ spl24_82
| ~ spl24_91 ),
inference(forward_subsumption_resolution,[],[f1582,f1224]) ).
fof(f1598,plain,
( ~ spl24_82
| ~ spl24_91 ),
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1599,plain,
( e1 != op(e4,e1)
| ~ spl24_93 ),
inference(superposition,[],[f150,f1579]) ).
fof(f1607,plain,
( e4 = op(e1,e2)
| ~ spl24_77
| ~ spl24_93 ),
inference(superposition,[],[f753,f1579]) ).
fof(f1610,plain,
( e0 = e4
| ~ spl24_77
| ~ spl24_93 ),
inference(forward_demodulation,[],[f1607,f808]) ).
fof(f1613,plain,
( $false
| ~ spl24_77
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1610,f251]) ).
fof(f1614,plain,
( ~ spl24_77
| ~ spl24_93 ),
inference(avatar_contradiction_clause,[],[f1613]) ).
fof(f1618,plain,
( e1 = op(e4,e1)
| e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f62,f1555]) ).
fof(f1619,plain,
( e2 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1)
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1618,f1599]) ).
fof(f1620,plain,
( e3 = op(e4,e1)
| e4 = op(e4,e1)
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1619,f760]) ).
fof(f1621,plain,
( e3 = op(e4,e1)
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1620,f1263]) ).
fof(f1628,plain,
( e4 = op(e3,e1)
| ~ spl24_76
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f748,f1621]) ).
fof(f1637,plain,
( e4 != op(e1,e1)
| ~ spl24_76
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f229,f1628]) ).
fof(f1641,plain,
( $false
| ~ spl24_76
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1637,f434]) ).
fof(f1642,plain,
( ~ spl24_76
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(avatar_contradiction_clause,[],[f1641]) ).
fof(f1652,plain,
( e3 != op(e0,e3)
| ~ spl24_88 ),
inference(superposition,[],[f211,f1532]) ).
fof(f1657,plain,
( $false
| ~ spl24_82
| ~ spl24_88 ),
inference(forward_subsumption_resolution,[],[f1652,f1227]) ).
fof(f1658,plain,
( ~ spl24_82
| ~ spl24_88 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1664,plain,
( e1 != op(e3,e3)
| ~ spl24_89 ),
inference(superposition,[],[f205,f1536]) ).
fof(f1673,plain,
( $false
| spl24_57
| spl24_58
| ~ spl24_89 ),
inference(forward_subsumption_resolution,[],[f1664,f1252]) ).
fof(f1674,plain,
( spl24_57
| spl24_58
| ~ spl24_89 ),
inference(avatar_contradiction_clause,[],[f1673]) ).
fof(f1678,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e3 = op(e4,e1)
| e4 = op(e4,e1) ),
inference(forward_subsumption_resolution,[],[f62,f760]) ).
fof(f1679,plain,
( e0 = op(e4,e1)
| e1 = op(e4,e1)
| e3 = op(e4,e1)
| ~ spl24_82 ),
inference(forward_subsumption_resolution,[],[f1678,f1263]) ).
fof(f1681,plain,
( e0 != op(e4,e1)
| ~ spl24_90 ),
inference(superposition,[],[f149,f1540]) ).
fof(f1684,plain,
( e0 != op(e2,e3)
| ~ spl24_90 ),
inference(superposition,[],[f206,f1540]) ).
fof(f1685,plain,
( e0 != op(e1,e3)
| ~ spl24_90 ),
inference(superposition,[],[f208,f1540]) ).
fof(f1687,plain,
( e0 != op(e3,e4)
| spl24_46
| ~ spl24_90 ),
inference(superposition,[],[f565,f1540]) ).
fof(f1697,plain,
( e3 != op(e2,e2)
| ~ spl24_92 ),
inference(superposition,[],[f216,f1575]) ).
fof(f1709,plain,
( $false
| ~ spl24_52
| ~ spl24_92 ),
inference(forward_subsumption_resolution,[],[f1697,f594]) ).
fof(f1710,plain,
( ~ spl24_52
| ~ spl24_92 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1713,plain,
( e1 != op(e4,e1)
| ~ spl24_93 ),
inference(superposition,[],[f150,f1579]) ).
fof(f1719,plain,
( e1 != op(e2,e4)
| spl24_41
| ~ spl24_93 ),
inference(superposition,[],[f540,f1579]) ).
fof(f1729,plain,
( e1 = op(e4,e1)
| e3 = op(e4,e1)
| ~ spl24_82
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f1679,f1681]) ).
fof(f1730,plain,
( e3 = op(e4,e1)
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1729,f1713]) ).
fof(f1731,plain,
( e3 != op(e3,e1)
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f225,f1730]) ).
fof(f1735,plain,
( e3 != op(e1,e4)
| spl24_35
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f508,f1730]) ).
fof(f1737,plain,
( e4 != op(e3,e1)
| spl24_76
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f747,f1730]) ).
fof(f1745,plain,
( e1 = op(e3,e4)
| e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl24_85 ),
inference(forward_subsumption_resolution,[],[f64,f1477]) ).
fof(f1746,plain,
( e2 = op(e3,e4)
| e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl24_85
| spl24_86 ),
inference(forward_subsumption_resolution,[],[f1745,f1481]) ).
fof(f1747,plain,
( e3 = op(e3,e4)
| e4 = op(e3,e4)
| spl24_85
| spl24_86 ),
inference(forward_subsumption_resolution,[],[f1746,f762]) ).
fof(f1749,definition,
( spl24_94
<=> e4 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_94])],[avatar_definition]) ).
fof(f1751,plain,
( e4 = op(e3,e4)
| ~ spl24_94 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1753,definition,
( spl24_95
<=> e3 = op(e3,e4) ),
introduced(definition,[new_symbols(definition,[spl24_95])],[avatar_definition]) ).
fof(f1755,plain,
( e3 = op(e3,e4)
| ~ spl24_95 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1756,plain,
( spl24_94
| spl24_95
| spl24_85
| spl24_86 ),
inference(avatar_split_clause,[],[f1747,f1480,f1476,f1753,f1749]) ).
fof(f1763,plain,
( e4 != op(e0,e4)
| ~ spl24_94 ),
inference(superposition,[],[f202,f1751]) ).
fof(f1772,plain,
( $false
| ~ spl24_82
| ~ spl24_94 ),
inference(forward_subsumption_resolution,[],[f1763,f1225]) ).
fof(f1773,plain,
( ~ spl24_82
| ~ spl24_94 ),
inference(avatar_contradiction_clause,[],[f1772]) ).
fof(f1780,plain,
( e3 != op(e3,e0)
| ~ spl24_95 ),
inference(superposition,[],[f161,f1755]) ).
fof(f1794,plain,
( $false
| ~ spl24_82
| ~ spl24_95 ),
inference(forward_subsumption_resolution,[],[f1780,f1226]) ).
fof(f1795,plain,
( ~ spl24_82
| ~ spl24_95 ),
inference(avatar_contradiction_clause,[],[f1794]) ).
fof(f1803,plain,
( ~ spl24_85
| spl24_46
| ~ spl24_90 ),
inference(avatar_split_clause,[],[f1687,f1538,f563,f1476]) ).
fof(f1807,plain,
( e0 != op(e3,e1)
| ~ spl24_85 ),
inference(superposition,[],[f158,f1478]) ).
fof(f1809,plain,
( e0 != op(e2,e4)
| ~ spl24_85 ),
inference(superposition,[],[f197,f1478]) ).
fof(f1810,plain,
( e0 != op(e1,e4)
| ~ spl24_85 ),
inference(superposition,[],[f199,f1478]) ).
fof(f1824,plain,
( e0 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| spl24_57
| spl24_58 ),
inference(forward_subsumption_resolution,[],[f66,f1253]) ).
fof(f1832,definition,
( spl24_96
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_96])],[avatar_definition]) ).
fof(f1833,plain,
( e3 != op(e2,e3)
| spl24_96 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f1834,plain,
( e3 = op(e2,e3)
| ~ spl24_96 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f1836,definition,
( spl24_97
<=> e4 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl24_97])],[avatar_definition]) ).
fof(f1837,plain,
( e4 != op(e2,e3)
| spl24_97 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1838,plain,
( e4 = op(e2,e3)
| ~ spl24_97 ),
inference(avatar_component_clause,[],[f1836]) ).
fof(f1840,plain,
( e3 != op(e2,e2)
| ~ spl24_96 ),
inference(superposition,[],[f167,f1834]) ).
fof(f1855,plain,
( $false
| ~ spl24_52
| ~ spl24_96 ),
inference(forward_subsumption_resolution,[],[f1840,f594]) ).
fof(f1856,plain,
( ~ spl24_52
| ~ spl24_96 ),
inference(avatar_contradiction_clause,[],[f1855]) ).
fof(f1875,definition,
( spl24_98
<=> e4 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_98])],[avatar_definition]) ).
fof(f1876,plain,
( e4 != op(e3,e2)
| spl24_98 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1877,plain,
( e4 = op(e3,e2)
| ~ spl24_98 ),
inference(avatar_component_clause,[],[f1875]) ).
fof(f1879,definition,
( spl24_99
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_99])],[avatar_definition]) ).
fof(f1880,plain,
( e3 != op(e3,e2)
| spl24_99 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1881,plain,
( e3 = op(e3,e2)
| ~ spl24_99 ),
inference(avatar_component_clause,[],[f1879]) ).
fof(f1883,definition,
( spl24_100
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl24_100])],[avatar_definition]) ).
fof(f1884,plain,
( e2 != op(e3,e2)
| spl24_100 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1885,plain,
( e2 = op(e3,e2)
| ~ spl24_100 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1906,plain,
( e2 != op(e0,e2)
| ~ spl24_100 ),
inference(superposition,[],[f222,f1885]) ).
fof(f1914,plain,
( $false
| ~ spl24_24
| ~ spl24_82
| ~ spl24_100 ),
inference(forward_subsumption_resolution,[],[f1906,f1327]) ).
fof(f1915,plain,
( ~ spl24_24
| ~ spl24_82
| ~ spl24_100 ),
inference(avatar_contradiction_clause,[],[f1914]) ).
fof(f1923,plain,
( e3 != op(e2,e2)
| ~ spl24_99 ),
inference(superposition,[],[f217,f1881]) ).
fof(f1935,plain,
( $false
| ~ spl24_52
| ~ spl24_99 ),
inference(forward_subsumption_resolution,[],[f1923,f594]) ).
fof(f1936,plain,
( ~ spl24_52
| ~ spl24_99 ),
inference(avatar_contradiction_clause,[],[f1935]) ).
fof(f1945,plain,
( e4 != op(e2,e3)
| spl24_39
| ~ spl24_98 ),
inference(superposition,[],[f530,f1877]) ).
fof(f1980,plain,
( e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| ~ spl24_85 ),
inference(forward_subsumption_resolution,[],[f67,f1807]) ).
fof(f1981,plain,
( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e4 = op(e3,e1)
| spl24_57
| spl24_58
| ~ spl24_85 ),
inference(forward_subsumption_resolution,[],[f1980,f1254]) ).
fof(f1982,plain,
( e2 = op(e3,e1)
| e4 = op(e3,e1)
| spl24_57
| spl24_58
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1981,f1731]) ).
fof(f1983,plain,
( e2 = op(e3,e1)
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1982,f1737]) ).
fof(f1987,plain,
( e2 != op(e1,e3)
| spl24_33
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f498,f1983]) ).
fof(f1989,plain,
( e3 = op(e2,e1)
| spl24_57
| spl24_58
| ~ spl24_72
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(superposition,[],[f728,f1983]) ).
fof(f1994,plain,
( $false
| ~ spl24_52
| spl24_57
| spl24_58
| ~ spl24_72
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f1989,f1195]) ).
fof(f1995,plain,
( ~ spl24_52
| spl24_57
| spl24_58
| ~ spl24_72
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f2001,plain,
( e1 = op(e2,e4)
| e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4)
| ~ spl24_85 ),
inference(forward_subsumption_resolution,[],[f69,f1809]) ).
fof(f2002,plain,
( e2 = op(e2,e4)
| e3 = op(e2,e4)
| e4 = op(e2,e4)
| spl24_41
| ~ spl24_85
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2001,f1719]) ).
fof(f2003,plain,
( e3 = op(e2,e4)
| e4 = op(e2,e4)
| spl24_41
| ~ spl24_85
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2002,f763]) ).
fof(f2005,definition,
( spl24_101
<=> e4 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl24_101])],[avatar_definition]) ).
fof(f2007,plain,
( e4 = op(e2,e4)
| ~ spl24_101 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f2009,definition,
( spl24_102
<=> e3 = op(e2,e4) ),
introduced(definition,[new_symbols(definition,[spl24_102])],[avatar_definition]) ).
fof(f2011,plain,
( e3 = op(e2,e4)
| ~ spl24_102 ),
inference(avatar_component_clause,[],[f2009]) ).
fof(f2012,plain,
( spl24_101
| spl24_102
| spl24_41
| ~ spl24_85
| ~ spl24_93 ),
inference(avatar_split_clause,[],[f2003,f1577,f1476,f538,f2009,f2005]) ).
fof(f2018,plain,
( e4 != op(e0,e4)
| ~ spl24_101 ),
inference(superposition,[],[f203,f2007]) ).
fof(f2024,plain,
( $false
| ~ spl24_82
| ~ spl24_101 ),
inference(forward_subsumption_resolution,[],[f2018,f1225]) ).
fof(f2025,plain,
( ~ spl24_82
| ~ spl24_101 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2028,plain,
( e3 != op(e2,e2)
| ~ spl24_102 ),
inference(superposition,[],[f166,f2011]) ).
fof(f2044,plain,
( $false
| ~ spl24_52
| ~ spl24_102 ),
inference(forward_subsumption_resolution,[],[f2028,f594]) ).
fof(f2045,plain,
( ~ spl24_52
| ~ spl24_102 ),
inference(avatar_contradiction_clause,[],[f2044]) ).
fof(f2046,plain,
( e1 = op(e2,e4)
| ~ spl24_41
| ~ spl24_93 ),
inference(forward_demodulation,[],[f539,f1579]) ).
fof(f2059,plain,
( e1 != op(e2,e1)
| ~ spl24_41
| ~ spl24_93 ),
inference(superposition,[],[f168,f2046]) ).
fof(f2061,plain,
( e1 != op(e1,e4)
| ~ spl24_41
| ~ spl24_93 ),
inference(superposition,[],[f200,f2046]) ).
fof(f2075,plain,
( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f70,f1684]) ).
fof(f2076,plain,
( e2 = op(e2,e3)
| e3 = op(e2,e3)
| e4 = op(e2,e3)
| spl24_57
| spl24_58
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f2075,f1256]) ).
fof(f2077,plain,
( e2 = op(e2,e3)
| e4 = op(e2,e3)
| spl24_57
| spl24_58
| ~ spl24_90
| spl24_96 ),
inference(forward_subsumption_resolution,[],[f2076,f1833]) ).
fof(f2078,plain,
( e2 = op(e2,e3)
| spl24_57
| spl24_58
| ~ spl24_90
| spl24_96
| spl24_97 ),
inference(forward_subsumption_resolution,[],[f2077,f1837]) ).
fof(f2081,plain,
( e2 != op(e2,e0)
| spl24_57
| spl24_58
| ~ spl24_90
| spl24_96
| spl24_97 ),
inference(superposition,[],[f172,f2078]) ).
fof(f2093,plain,
( $false
| spl24_57
| spl24_58
| ~ spl24_82
| ~ spl24_90
| spl24_96
| spl24_97 ),
inference(forward_subsumption_resolution,[],[f2081,f1228]) ).
fof(f2094,plain,
( spl24_57
| spl24_58
| ~ spl24_82
| ~ spl24_90
| spl24_96
| spl24_97 ),
inference(avatar_contradiction_clause,[],[f2093]) ).
fof(f2096,plain,
( ~ spl24_97
| spl24_39
| ~ spl24_98 ),
inference(avatar_split_clause,[],[f1945,f1875,f528,f1836]) ).
fof(f2099,plain,
( e4 != op(e2,e1)
| ~ spl24_97 ),
inference(superposition,[],[f169,f1838]) ).
fof(f2101,plain,
( e4 != op(e1,e3)
| ~ spl24_97 ),
inference(superposition,[],[f210,f1838]) ).
fof(f2109,plain,
( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| ~ spl24_41
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f72,f2059]) ).
fof(f2110,plain,
( e0 = op(e2,e1)
| e3 = op(e2,e1)
| e4 = op(e2,e1)
| ~ spl24_41
| ~ spl24_82
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2109,f1313]) ).
fof(f2111,plain,
( e0 = op(e2,e1)
| e4 = op(e2,e1)
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2110,f1195]) ).
fof(f2112,plain,
( e0 = op(e2,e1)
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(forward_subsumption_resolution,[],[f2111,f2099]) ).
fof(f2115,plain,
( e0 != op(e1,e2)
| spl24_31
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(superposition,[],[f488,f2112]) ).
fof(f2124,plain,
( $false
| spl24_31
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(forward_subsumption_resolution,[],[f2115,f808]) ).
fof(f2125,plain,
( spl24_31
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(avatar_contradiction_clause,[],[f2124]) ).
fof(f2129,plain,
( op(e1,e2) != op(e2,e1)
| ~ spl24_11 ),
inference(forward_subsumption_resolution,[],[f291,f396]) ).
fof(f2134,plain,
( e0 != op(e1,e2)
| ~ spl24_11
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(forward_demodulation,[],[f2129,f2112]) ).
fof(f2139,plain,
( $false
| ~ spl24_11
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(forward_subsumption_resolution,[],[f2134,f808]) ).
fof(f2140,plain,
( ~ spl24_11
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(avatar_contradiction_clause,[],[f2139]) ).
fof(f2149,plain,
( e1 = op(e1,e4)
| e2 = op(e1,e4)
| e3 = op(e1,e4)
| e4 = op(e1,e4)
| ~ spl24_85 ),
inference(forward_subsumption_resolution,[],[f74,f1810]) ).
fof(f2150,plain,
( e2 = op(e1,e4)
| e3 = op(e1,e4)
| e4 = op(e1,e4)
| ~ spl24_41
| ~ spl24_85
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2149,f2061]) ).
fof(f2151,plain,
( e3 = op(e1,e4)
| e4 = op(e1,e4)
| ~ spl24_41
| ~ spl24_85
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2150,f764]) ).
fof(f2152,plain,
( e4 = op(e1,e4)
| spl24_35
| ~ spl24_41
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2151,f1735]) ).
fof(f2153,plain,
( $false
| spl24_35
| ~ spl24_41
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2152,f1290]) ).
fof(f2154,plain,
( spl24_35
| ~ spl24_41
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2156,plain,
( e3 = op(e4,e2)
| ~ spl24_73
| ~ spl24_98 ),
inference(forward_demodulation,[],[f733,f1877]) ).
fof(f2161,plain,
( $false
| ~ spl24_73
| spl24_92
| ~ spl24_98 ),
inference(forward_subsumption_resolution,[],[f2156,f1574]) ).
fof(f2162,plain,
( ~ spl24_73
| spl24_92
| ~ spl24_98 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2222,plain,
( e1 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3)
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f75,f1685]) ).
fof(f2223,plain,
( e2 = op(e1,e3)
| e3 = op(e1,e3)
| e4 = op(e1,e3)
| spl24_57
| spl24_58
| ~ spl24_90 ),
inference(forward_subsumption_resolution,[],[f2222,f1257]) ).
fof(f2224,plain,
( e3 = op(e1,e3)
| e4 = op(e1,e3)
| spl24_33
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2223,f1987]) ).
fof(f2225,plain,
( e4 = op(e1,e3)
| spl24_33
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(forward_subsumption_resolution,[],[f2224,f1308]) ).
fof(f2226,plain,
( $false
| spl24_33
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93
| ~ spl24_97 ),
inference(forward_subsumption_resolution,[],[f2225,f2101]) ).
fof(f2227,plain,
( spl24_33
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93
| ~ spl24_97 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2323,plain,
( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e4 = op(e3,e2)
| spl24_57
| spl24_58
| spl24_100 ),
inference(forward_subsumption_resolution,[],[f1824,f1884]) ).
fof(f2324,plain,
( e0 = op(e3,e2)
| e4 = op(e3,e2)
| spl24_57
| spl24_58
| spl24_99
| spl24_100 ),
inference(forward_subsumption_resolution,[],[f2323,f1880]) ).
fof(f2429,plain,
( e0 = op(e3,e2)
| spl24_57
| spl24_58
| spl24_98
| spl24_99
| spl24_100 ),
inference(forward_subsumption_resolution,[],[f2324,f1876]) ).
fof(f2433,plain,
( e0 != op(e1,e2)
| spl24_57
| spl24_58
| spl24_98
| spl24_99
| spl24_100 ),
inference(superposition,[],[f219,f2429]) ).
fof(f2441,plain,
( $false
| spl24_57
| spl24_58
| spl24_98
| spl24_99
| spl24_100 ),
inference(forward_subsumption_resolution,[],[f2433,f808]) ).
fof(f2442,plain,
( spl24_57
| spl24_58
| spl24_98
| spl24_99
| spl24_100 ),
inference(avatar_contradiction_clause,[],[f2441]) ).
fof(f2464,plain,
( e0 = e1
| ~ spl24_58
| ~ spl24_84 ),
inference(superposition,[],[f644,f1206]) ).
fof(f2471,plain,
( $false
| ~ spl24_58
| ~ spl24_84 ),
inference(forward_subsumption_resolution,[],[f2464,f254]) ).
fof(f2472,plain,
( ~ spl24_58
| ~ spl24_84 ),
inference(avatar_contradiction_clause,[],[f2471]) ).
fof(f2552,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2)
| spl24_92 ),
inference(forward_subsumption_resolution,[],[f1566,f1574]) ).
fof(f2554,plain,
( e0 = op(e4,e2)
| e1 = op(e4,e2)
| spl24_91
| spl24_92 ),
inference(forward_subsumption_resolution,[],[f2552,f1570]) ).
fof(f2604,plain,
( e0 = op(e4,e2)
| spl24_91
| spl24_92
| spl24_93 ),
inference(forward_subsumption_resolution,[],[f2554,f1578]) ).
fof(f2609,plain,
( e0 != op(e1,e2)
| spl24_91
| spl24_92
| spl24_93 ),
inference(superposition,[],[f218,f2604]) ).
fof(f2617,plain,
( $false
| spl24_91
| spl24_92
| spl24_93 ),
inference(forward_subsumption_resolution,[],[f2609,f808]) ).
fof(f2618,plain,
( spl24_91
| spl24_92
| spl24_93 ),
inference(avatar_contradiction_clause,[],[f2617]) ).
fof(f3082,plain,
( e3 = op(e3,e2)
| ~ spl24_80 ),
inference(superposition,[],[f87,f829]) ).
fof(f3100,plain,
( $false
| ~ spl24_80
| spl24_99 ),
inference(forward_subsumption_resolution,[],[f3082,f1880]) ).
fof(f3101,plain,
( ~ spl24_80
| spl24_99 ),
inference(avatar_contradiction_clause,[],[f3100]) ).
fof(f3111,plain,
( e0 = e3
| ~ spl24_51
| ~ spl24_83 ),
inference(forward_demodulation,[],[f590,f1202]) ).
fof(f3124,plain,
( $false
| ~ spl24_51
| ~ spl24_83 ),
inference(forward_subsumption_resolution,[],[f3111,f252]) ).
fof(f3125,plain,
( ~ spl24_51
| ~ spl24_83 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3169,plain,
( $false
| spl24_52 ),
inference(global_subsumption,[],[f593,f1467]) ).
fof(f3170,plain,
spl24_52,
inference(avatar_contradiction_clause,[],[f3169]) ).
fof(f3296,plain,
( e1 = op(e3,e3)
| spl24_57
| spl24_58 ),
inference(forward_subsumption_resolution,[],[f1217,f643]) ).
fof(f3297,plain,
( e1 = e3
| ~ spl24_51
| spl24_57
| spl24_58 ),
inference(superposition,[],[f3296,f590]) ).
fof(f3311,plain,
( $false
| ~ spl24_51
| spl24_57
| spl24_58 ),
inference(forward_subsumption_resolution,[],[f3297,f249]) ).
fof(f3312,plain,
( ~ spl24_51
| spl24_57
| spl24_58 ),
inference(avatar_contradiction_clause,[],[f3311]) ).
cnf(s309,plain,
( spl24_1
| spl24_2
| spl24_3
| spl24_4
| spl24_5
| spl24_6
| spl24_7
| spl24_8
| spl24_9
| spl24_10
| spl24_11
| spl24_12
| spl24_13
| spl24_14
| spl24_15
| spl24_16
| spl24_17
| spl24_18
| spl24_19
| spl24_20 ),
inference(sat_conversion,[],[f433]) ).
cnf(s423,plain,
( ~ spl24_19
| ~ spl24_24 ),
inference(sat_conversion,[],[f454]) ).
cnf(s431,plain,
( ~ spl24_18
| ~ spl24_26 ),
inference(sat_conversion,[],[f464]) ).
cnf(s451,plain,
( ~ spl24_15
| ~ spl24_31 ),
inference(sat_conversion,[],[f489]) ).
cnf(s459,plain,
( ~ spl24_14
| ~ spl24_33 ),
inference(sat_conversion,[],[f499]) ).
cnf(s467,plain,
( ~ spl24_13
| ~ spl24_35 ),
inference(sat_conversion,[],[f509]) ).
cnf(s485,plain,
( ~ spl24_10
| ~ spl24_39 ),
inference(sat_conversion,[],[f531]) ).
cnf(s493,plain,
( ~ spl24_9
| ~ spl24_41 ),
inference(sat_conversion,[],[f541]) ).
cnf(s513,plain,
( ~ spl24_5
| ~ spl24_46 ),
inference(sat_conversion,[],[f566]) ).
cnf(s597,plain,
( ~ spl24_20
| spl24_59 ),
inference(sat_conversion,[],[f664]) ).
cnf(s609,plain,
( ~ spl24_17
| spl24_62 ),
inference(sat_conversion,[],[f679]) ).
cnf(s649,plain,
( ~ spl24_7
| spl24_72 ),
inference(sat_conversion,[],[f729]) ).
cnf(s653,plain,
( ~ spl24_6
| spl24_73 ),
inference(sat_conversion,[],[f734]) ).
cnf(s665,plain,
( ~ spl24_3
| spl24_76 ),
inference(sat_conversion,[],[f749]) ).
cnf(s669,plain,
( ~ spl24_2
| spl24_77 ),
inference(sat_conversion,[],[f754]) ).
cnf(s707,plain,
( ~ spl24_52
| ~ spl24_57 ),
inference(sat_conversion,[],[f791]) ).
cnf(s741,plain,
( spl24_78
| spl24_79
| spl24_80
| spl24_81
| spl24_82 ),
inference(sat_conversion,[],[f838]) ).
cnf(s753,plain,
~ spl24_78,
inference(sat_conversion,[],[f858]) ).
cnf(s814,plain,
~ spl24_81,
inference(sat_conversion,[],[f952]) ).
cnf(s822,plain,
( ~ spl24_1
| ~ spl24_46 ),
inference(sat_conversion,[],[f954]) ).
cnf(s978,plain,
( ~ spl24_4
| ~ spl24_82 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s1000,plain,
( spl24_26
| ~ spl24_82 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s1017,plain,
( spl24_51
| ~ spl24_79 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s1037,plain,
( ~ spl24_8
| ~ spl24_26 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s1049,plain,
( ~ spl24_52
| spl24_83
| spl24_84 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s1082,plain,
( ~ spl24_58
| ~ spl24_82 ),
inference(sat_conversion,[],[f1247]) ).
cnf(s1152,plain,
( spl24_24
| ~ spl24_82 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s1161,plain,
( ~ spl24_12
| ~ spl24_82 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s1181,plain,
( ~ spl24_16
| ~ spl24_82 ),
inference(sat_conversion,[],[f1395]) ).
cnf(s1198,plain,
( ~ spl24_62
| ~ spl24_82 ),
inference(sat_conversion,[],[f1428]) ).
cnf(s1201,plain,
( ~ spl24_59
| ~ spl24_82 ),
inference(sat_conversion,[],[f1436]) ).
cnf(s1239,plain,
( spl24_57
| spl24_58
| ~ spl24_86 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s1246,plain,
( spl24_87
| spl24_88
| spl24_89
| spl24_90 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s1252,plain,
( ~ spl24_82
| ~ spl24_87 ),
inference(sat_conversion,[],[f1553]) ).
cnf(s1272,plain,
( ~ spl24_82
| ~ spl24_91 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s1279,plain,
( ~ spl24_77
| ~ spl24_93 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s1291,plain,
( ~ spl24_76
| ~ spl24_82
| ~ spl24_90
| ~ spl24_93 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s1300,plain,
( ~ spl24_82
| ~ spl24_88 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s1307,plain,
( spl24_57
| spl24_58
| ~ spl24_89 ),
inference(sat_conversion,[],[f1674]) ).
cnf(s1330,plain,
( ~ spl24_52
| ~ spl24_92 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s1354,plain,
( spl24_85
| spl24_86
| spl24_94
| spl24_95 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s1358,plain,
( ~ spl24_82
| ~ spl24_94 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s1367,plain,
( ~ spl24_82
| ~ spl24_95 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s1377,plain,
( spl24_46
| ~ spl24_85
| ~ spl24_90 ),
inference(sat_conversion,[],[f1803]) ).
cnf(s1392,plain,
( ~ spl24_52
| ~ spl24_96 ),
inference(sat_conversion,[],[f1856]) ).
cnf(s1423,plain,
( ~ spl24_24
| ~ spl24_82
| ~ spl24_100 ),
inference(sat_conversion,[],[f1915]) ).
cnf(s1430,plain,
( ~ spl24_52
| ~ spl24_99 ),
inference(sat_conversion,[],[f1936]) ).
cnf(s1462,plain,
( ~ spl24_52
| spl24_57
| spl24_58
| ~ spl24_72
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s1468,plain,
( spl24_41
| ~ spl24_85
| ~ spl24_93
| spl24_101
| spl24_102 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s1471,plain,
( ~ spl24_82
| ~ spl24_101 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s1479,plain,
( ~ spl24_52
| ~ spl24_102 ),
inference(sat_conversion,[],[f2045]) ).
cnf(s1499,plain,
( spl24_57
| spl24_58
| ~ spl24_82
| ~ spl24_90
| spl24_96
| spl24_97 ),
inference(sat_conversion,[],[f2094]) ).
cnf(s1505,plain,
( spl24_39
| ~ spl24_97
| ~ spl24_98 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s1516,plain,
( spl24_31
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(sat_conversion,[],[f2125]) ).
cnf(s1519,plain,
( ~ spl24_11
| ~ spl24_41
| ~ spl24_52
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s1527,plain,
( spl24_35
| ~ spl24_41
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s1531,plain,
( ~ spl24_73
| spl24_92
| ~ spl24_98 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s1547,plain,
( spl24_33
| spl24_57
| spl24_58
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93
| ~ spl24_97 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s1712,plain,
( spl24_57
| spl24_58
| spl24_98
| spl24_99
| spl24_100 ),
inference(sat_conversion,[],[f2442]) ).
cnf(s1730,plain,
( ~ spl24_58
| ~ spl24_84 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s1841,plain,
( spl24_91
| spl24_92
| spl24_93 ),
inference(sat_conversion,[],[f2618]) ).
cnf(s2090,plain,
( ~ spl24_80
| spl24_99 ),
inference(sat_conversion,[],[f3101]) ).
cnf(s2113,plain,
( ~ spl24_51
| ~ spl24_83 ),
inference(sat_conversion,[],[f3125]) ).
cnf(s2150,plain,
spl24_52,
inference(sat_conversion,[],[f3170]) ).
cnf(s2266,plain,
( ~ spl24_51
| spl24_57
| spl24_58 ),
inference(sat_conversion,[],[f3312]) ).
cnf(s2276,plain,
( ~ spl24_11
| ~ spl24_41
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(rat,[],[s1519,s2150]) ).
cnf(s2278,plain,
( spl24_31
| ~ spl24_41
| ~ spl24_82
| ~ spl24_93
| ~ spl24_97 ),
inference(rat,[],[s1516,s2150]) ).
cnf(s2281,plain,
~ spl24_102,
inference(rat,[],[s1479,s2150]) ).
cnf(s2282,plain,
( spl24_41
| ~ spl24_85
| ~ spl24_93
| spl24_101 ),
inference(rat,[],[s1468,s2281]) ).
cnf(s2283,plain,
( spl24_57
| spl24_58
| ~ spl24_72
| spl24_76
| ~ spl24_82
| ~ spl24_85
| ~ spl24_90
| ~ spl24_93 ),
inference(rat,[],[s1462,s2150]) ).
cnf(s2285,plain,
~ spl24_99,
inference(rat,[],[s1430,s2150]) ).
cnf(s2286,plain,
~ spl24_80,
inference(rat,[],[s2090,s2285]) ).
cnf(s2289,plain,
~ spl24_96,
inference(rat,[],[s1392,s2150]) ).
cnf(s2291,plain,
~ spl24_92,
inference(rat,[],[s1330,s2150]) ).
cnf(s2295,plain,
( spl24_83
| spl24_84 ),
inference(rat,[],[s1049,s2150]) ).
cnf(s2296,plain,
( spl24_79
| spl24_82 ),
inference(rat,[],[s741,s814,s2286,s753]) ).
cnf(s2297,plain,
~ spl24_57,
inference(rat,[],[s707,s2150]) ).
cnf(s2298,plain,
~ spl24_51,
inference(rat,[],[s2295,s1730,s2113,s2266,s2297]) ).
cnf(s2299,plain,
~ spl24_79,
inference(rat,[],[s1017,s2298]) ).
cnf(s2300,plain,
spl24_82,
inference(rat,[],[s2296,s2299]) ).
cnf(s2302,plain,
~ spl24_101,
inference(rat,[],[s1471,s2300]) ).
cnf(s2303,plain,
~ spl24_95,
inference(rat,[],[s1367,s2300]) ).
cnf(s2304,plain,
~ spl24_94,
inference(rat,[],[s1358,s2300]) ).
cnf(s2305,plain,
~ spl24_88,
inference(rat,[],[s1300,s2300]) ).
cnf(s2306,plain,
~ spl24_91,
inference(rat,[],[s1272,s2300]) ).
cnf(s2307,plain,
~ spl24_87,
inference(rat,[],[s1252,s2300]) ).
cnf(s2308,plain,
~ spl24_59,
inference(rat,[],[s1201,s2300]) ).
cnf(s2309,plain,
~ spl24_62,
inference(rat,[],[s1198,s2300]) ).
cnf(s2310,plain,
~ spl24_16,
inference(rat,[],[s1181,s2300]) ).
cnf(s2313,plain,
~ spl24_12,
inference(rat,[],[s1161,s2300]) ).
cnf(s2314,plain,
spl24_24,
inference(rat,[],[s1152,s2300]) ).
cnf(s2315,plain,
~ spl24_58,
inference(rat,[],[s1082,s2300]) ).
cnf(s2317,plain,
spl24_26,
inference(rat,[],[s1000,s2300]) ).
cnf(s2318,plain,
~ spl24_4,
inference(rat,[],[s978,s2300]) ).
cnf(s2320,plain,
spl24_93,
inference(rat,[],[s1841,s2291,s2306]) ).
cnf(s2321,plain,
~ spl24_20,
inference(rat,[],[s597,s2308]) ).
cnf(s2322,plain,
~ spl24_17,
inference(rat,[],[s609,s2309]) ).
cnf(s2323,plain,
~ spl24_100,
inference(rat,[],[s1423,s2300,s2314]) ).
cnf(s2326,plain,
~ spl24_19,
inference(rat,[],[s423,s2314]) ).
cnf(s2327,plain,
~ spl24_89,
inference(rat,[],[s1307,s2297,s2315]) ).
cnf(s2328,plain,
~ spl24_86,
inference(rat,[],[s1239,s2297,s2315]) ).
cnf(s2330,plain,
~ spl24_8,
inference(rat,[],[s1037,s2317]) ).
cnf(s2331,plain,
~ spl24_18,
inference(rat,[],[s431,s2317]) ).
cnf(s2334,plain,
~ spl24_77,
inference(rat,[],[s1279,s2320]) ).
cnf(s2335,plain,
spl24_98,
inference(rat,[],[s1712,s2315,s2285,s2297,s2323]) ).
cnf(s2336,plain,
spl24_90,
inference(rat,[],[s1246,s2307,s2305,s2327]) ).
cnf(s2337,plain,
spl24_85,
inference(rat,[],[s1354,s2303,s2304,s2328]) ).
cnf(s2339,plain,
~ spl24_2,
inference(rat,[],[s669,s2334]) ).
cnf(s2341,plain,
~ spl24_73,
inference(rat,[],[s1531,s2291,s2335]) ).
cnf(s2343,plain,
spl24_46,
inference(rat,[],[s1377,s2337,s2336]) ).
cnf(s2344,plain,
~ spl24_76,
inference(rat,[],[s1291,s2320,s2300,s2336]) ).
cnf(s2345,plain,
spl24_97,
inference(rat,[],[s1499,s2315,s2289,s2300,s2297,s2336]) ).
cnf(s2346,plain,
spl24_41,
inference(rat,[],[s2282,s2302,s2320,s2337]) ).
cnf(s2349,plain,
~ spl24_6,
inference(rat,[],[s653,s2341]) ).
cnf(s2350,plain,
~ spl24_5,
inference(rat,[],[s513,s2343]) ).
cnf(s2351,plain,
~ spl24_3,
inference(rat,[],[s665,s2344]) ).
cnf(s2352,plain,
~ spl24_72,
inference(rat,[],[s2283,s2320,s2336,s2300,s2315,s2337,s2297,s2344]) ).
cnf(s2353,plain,
spl24_33,
inference(rat,[],[s1547,s2345,s2320,s2336,s2337,s2300,s2315,s2297,s2344]) ).
cnf(s2356,plain,
spl24_39,
inference(rat,[],[s1505,s2335,s2345]) ).
cnf(s2359,plain,
spl24_35,
inference(rat,[],[s1527,s2320,s2336,s2337,s2300,s2346]) ).
cnf(s2360,plain,
~ spl24_11,
inference(rat,[],[s2276,s2345,s2320,s2300,s2346]) ).
cnf(s2362,plain,
spl24_31,
inference(rat,[],[s2278,s2345,s2320,s2300,s2346]) ).
cnf(s2364,plain,
~ spl24_9,
inference(rat,[],[s493,s2346]) ).
cnf(s2366,plain,
~ spl24_7,
inference(rat,[],[s649,s2352]) ).
cnf(s2369,plain,
~ spl24_14,
inference(rat,[],[s459,s2353]) ).
cnf(s2370,plain,
~ spl24_10,
inference(rat,[],[s485,s2356]) ).
cnf(s2372,plain,
~ spl24_13,
inference(rat,[],[s467,s2359]) ).
cnf(s2374,plain,
~ spl24_15,
inference(rat,[],[s451,s2362]) ).
cnf(s2375,plain,
spl24_1,
inference(rat,[],[s309,s2310,s2374,s2369,s2372,s2313,s2360,s2350,s2349,s2351,s2364,s2330,s2366,s2339,s2326,s2318,s2321,s2331,s2322,s2370]) ).
cnf(s2376,plain,
$false,
inference(rat,[],[s822,s2343,s2375]) ).
fof(f3313,plain,
$false,
inference(avatar_sat_refutation,[],[s2376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG064+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:23:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.90/0.37 % (1473672)Will run a generic schedule for satisfiability detection.
% 0.90/0.37 % (1473681)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1645039825:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.90/0.37 % (1473678)% WARNING: option uhcvi not known.
% 0.90/0.37 % (1473677)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=480308999_2999 on theBenchmark for (2999ds/0Mi)
% 0.90/0.37 % (1473678)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3204936205:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.90/0.37 % (1473679)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2603339093:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.90/0.37 % (1473680)dis+10_1_sil=32000:sp=arity:random_seed=3714235754:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.90/0.37 % (1473682)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1048333643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.37 % (1473683)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3219993861:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.90/0.37 % Detected minimum model sizes of [5]
% 0.90/0.37 % Detected maximum model sizes of [max]
% 0.90/0.37 % TRYING [5]
% 0.90/0.37 % (1473681)Instruction limit reached!
% 0.90/0.37 % (1473681)------------------------------
% 0.90/0.37 % (1473681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.37 % (1473681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.37 % (1473681)CaDiCaL version: 2.1.3
% 0.90/0.37 % (1473681)Termination reason: Instruction limit
% 0.90/0.37 % (1473681)Termination phase: Saturation
% 0.90/0.37 % (1473681)Time elapsed: 0.035 s
% 0.90/0.37 % (1473681)Peak memory usage: 13 MB
% 0.90/0.37 % (1473681)Instructions burned: 120 (million)
% 0.90/0.37 % (1473691)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=910738052:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.90/0.37 % TRYING [6]
% 0.90/0.37 % Detected minimum model sizes of [5]
% 0.90/0.37 % Detected maximum model sizes of [max]
% 0.90/0.37 % TRYING [5]
% 0.90/0.37 % (1473680)Instruction limit reached!
% 0.90/0.37 % (1473680)------------------------------
% 0.90/0.37 % (1473680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.37 % (1473680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.37 % (1473680)CaDiCaL version: 2.1.3
% 0.90/0.37 % (1473680)Termination reason: Instruction limit
% 0.90/0.37 % (1473680)Termination phase: Saturation
% 0.90/0.37 % (1473680)Time elapsed: 0.054 s
% 0.90/0.37 % (1473680)Peak memory usage: 12 MB
% 0.90/0.37 % (1473680)Instructions burned: 104 (million)
% 0.90/0.37 % TRYING [6]
% 0.90/0.37 % (1473682)Instruction limit reached!
% 0.90/0.37 % (1473682)------------------------------
% 0.90/0.37 % (1473682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.37 % (1473682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.37 % (1473682)CaDiCaL version: 2.1.3
% 0.90/0.37 % (1473682)Termination reason: Instruction limit
% 0.90/0.37 % (1473682)Termination phase: Saturation
% 0.90/0.37 % (1473682)Time elapsed: 0.062 s
% 0.90/0.37 % (1473682)Peak memory usage: 13 MB
% 0.90/0.37 % (1473682)Instructions burned: 131 (million)
% 0.90/0.37 % (1473679) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1473672-1473679"...
% 0.90/0.37 % (1473693)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3011323236:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.90/0.37 % TRYING [7]
% 0.90/0.37 % TRYING [7]
% 0.90/0.37 % (1473694)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1171782847:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.90/0.37 % (1473683)Instruction limit reached!
% 0.90/0.37 % (1473683)------------------------------
% 0.90/0.37 % (1473683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.37 % (1473683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.37 % (1473683)CaDiCaL version: 2.1.3
% 0.90/0.37 % (1473683)Termination reason: Instruction limit
% 0.90/0.37 % (1473683)Termination phase: Saturation
% 0.90/0.37 % (1473683)Time elapsed: 0.087 s
% 0.90/0.37 % (1473683)Peak memory usage: 14 MB
% 0.90/0.37 % (1473683)Instructions burned: 160 (million)
% 0.90/0.37 % (1473679)...printing done.
% 0.90/0.37 % (1473679)Refutation found. Thanks to Tanya!
% 0.90/0.37 % SZS status Theorem for theBenchmark
% 0.90/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.38 % (1473679)------------------------------
% 0.90/0.38 % (1473679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.38 % (1473679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.38 % (1473679)CaDiCaL version: 2.1.3
% 0.90/0.38 % (1473679)Termination reason: Refutation
% 0.90/0.38 % (1473679)Time elapsed: 0.092 s
% 0.90/0.38 % (1473679)Peak memory usage: 14 MB
% 0.90/0.38 % (1473679)Instructions burned: 174 (million)
% 0.90/0.38 % (1473672)Success in time 0.136 s
% 0.90/0.38 % Vampire exiting
%------------------------------------------------------------------------------