%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG130+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 11:48:32 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 133
% Syntax : Number of formulae : 912 ( 57 unt; 107 def)
% Number of atoms : 2510 (1140 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2798 (1200 ~;1285 |; 204 &)
% ( 109 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 109 ( 107 usr; 108 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( ( op(e3,op(e3,e3)) = op(e3,e3)
& op(e3,op(e2,e3)) = op(e2,e3)
& op(e3,op(e1,e3)) = op(e1,e3)
& op(e3,op(e0,e3)) = op(e0,e3) )
| ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) )
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e3) = e2
& op(op(e3,e1),e3) = e1
& op(op(e3,e0),e3) = e0
& op(op(e2,e3),e2) = e3
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e2) = e1
& op(op(e2,e0),e2) = e0
& op(op(e1,e3),e1) = e3
& op(op(e1,e2),e1) = e2
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e1) = e0
& op(op(e0,e3),e0) = e3
& op(op(e0,e2),e0) = e2
& op(op(e0,e1),e0) = e1
& op(op(e0,e0),e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ ( e3 = op(e2,e1)
& e0 = op(op(e2,e1),op(e2,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ ( e1 = op(e3,e2)
& e0 = op(op(e3,e2),op(e3,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ ( e2 = op(e1,e3)
& e0 = op(op(e1,e3),op(e1,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ ( e1 = op(e2,e3)
& e0 = op(op(e2,e3),op(e2,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ ( e3 = op(e2,e0)
& e1 = op(op(e2,e0),op(e2,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ ( e2 = op(e3,e0)
& e1 = op(op(e3,e0),op(e3,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ ( e3 = op(e0,e2)
& e1 = op(op(e0,e2),op(e0,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ ( e0 = op(e3,e2)
& e1 = op(op(e3,e2),op(e3,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ ( e0 = op(e2,e3)
& e1 = op(op(e2,e3),op(e2,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ ( e3 = op(e1,e0)
& e2 = op(op(e1,e0),op(e1,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ ( e1 = op(e3,e0)
& e2 = op(op(e3,e0),op(e3,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ ( e3 = op(e0,e1)
& e2 = op(op(e0,e1),op(e0,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ ( e0 = op(e3,e1)
& e2 = op(op(e3,e1),op(e3,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ ( e1 = op(e0,e3)
& e2 = op(op(e0,e3),op(e0,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ ( e0 = op(e1,e3)
& e2 = op(op(e1,e3),op(e1,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ ( e2 = op(e1,e0)
& e3 = op(op(e1,e0),op(e1,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ ( e1 = op(e2,e0)
& e3 = op(op(e2,e0),op(e2,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ ( e2 = op(e0,e1)
& e3 = op(op(e0,e1),op(e0,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ ( e0 = op(e2,e1)
& e3 = op(op(e2,e1),op(e2,e1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ ( e1 = op(e0,e2)
& e3 = op(op(e0,e2),op(e0,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ ( e0 = op(e1,e2)
& e3 = op(op(e1,e2),op(e1,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f42,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f47,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f70,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f72,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f73,plain,
( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f74,plain,
( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f75,plain,
( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f76,plain,
( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f78,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f87,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f91,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f94,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f95,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f96,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f97,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f105,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f107,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f108,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f109,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f114,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f115,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f116,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f120,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f121,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f122,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f123,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f124,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f126,plain,
e0 != e1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
e0 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f128,plain,
e0 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f129,plain,
e1 != e2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
e1 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
e2 != e3,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,definition,
( sP0_prd
<=> ( ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f133,plain,
( ( ( op(e3,op(e3,e3)) = op(e3,e3)
& op(e3,op(e2,e3)) = op(e2,e3)
& op(e3,op(e1,e3)) = op(e1,e3)
& op(e3,op(e0,e3)) = op(e0,e3) )
| sP0_prd )
& op(op(e3,e3),e3) = e3
& op(op(e3,e2),e3) = e2
& op(op(e3,e1),e3) = e1
& op(op(e3,e0),e3) = e0
& op(op(e2,e3),e2) = e3
& op(op(e2,e2),e2) = e2
& op(op(e2,e1),e2) = e1
& op(op(e2,e0),e2) = e0
& op(op(e1,e3),e1) = e3
& op(op(e1,e2),e1) = e2
& op(op(e1,e1),e1) = e1
& op(op(e1,e0),e1) = e0
& op(op(e0,e3),e0) = e3
& op(op(e0,e2),e0) = e2
& op(op(e0,e1),e0) = e1
& op(op(e0,e0),e0) = e0 ),
inference(formula_renaming,[status(thm)],[f5,f132]) ).
fof(f134,plain,
op(op(e0,e0),e0) = e0,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
op(op(e0,e1),e0) = e1,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f136,plain,
op(op(e0,e2),e0) = e2,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f137,plain,
op(op(e0,e3),e0) = e3,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f138,plain,
op(op(e1,e0),e1) = e0,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f139,plain,
op(op(e1,e1),e1) = e1,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f140,plain,
op(op(e1,e2),e1) = e2,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f141,plain,
op(op(e1,e3),e1) = e3,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f142,plain,
op(op(e2,e0),e2) = e0,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f143,plain,
op(op(e2,e1),e2) = e1,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f144,plain,
op(op(e2,e2),e2) = e2,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f145,plain,
op(op(e2,e3),e2) = e3,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f146,plain,
op(op(e3,e0),e3) = e0,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f147,plain,
op(op(e3,e1),e3) = e1,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f148,plain,
op(op(e3,e2),e3) = e2,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f149,plain,
op(op(e3,e3),e3) = e3,
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f150,plain,
( op(e3,op(e0,e3)) = op(e0,e3)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f151,plain,
( op(e3,op(e1,e3)) = op(e1,e3)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f152,plain,
( op(e3,op(e2,e3)) = op(e2,e3)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f154,plain,
( e3 != op(e2,e1)
| e0 != op(op(e2,e1),op(e2,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f155,plain,
( e3 != op(e2,e1)
| e0 != op(op(e2,e1),op(e2,e1)) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f160,plain,
( e1 != op(e3,e2)
| e0 != op(op(e3,e2),op(e3,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f161,plain,
( e1 != op(e3,e2)
| e0 != op(op(e3,e2),op(e3,e2)) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
( e2 != op(e1,e3)
| e0 != op(op(e1,e3),op(e1,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f163,plain,
( e2 != op(e1,e3)
| e0 != op(op(e1,e3),op(e1,e3)) ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f164,plain,
( e1 != op(e2,e3)
| e0 != op(op(e2,e3),op(e2,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f165,plain,
( e1 != op(e2,e3)
| e0 != op(op(e2,e3),op(e2,e3)) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f166,plain,
( e3 != op(e2,e0)
| e1 != op(op(e2,e0),op(e2,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f167,plain,
( e3 != op(e2,e0)
| e1 != op(op(e2,e0),op(e2,e0)) ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f168,plain,
( e2 != op(e3,e0)
| e1 != op(op(e3,e0),op(e3,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f169,plain,
( e2 != op(e3,e0)
| e1 != op(op(e3,e0),op(e3,e0)) ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
( e3 != op(e0,e2)
| e1 != op(op(e0,e2),op(e0,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f171,plain,
( e3 != op(e0,e2)
| e1 != op(op(e0,e2),op(e0,e2)) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
( e0 != op(e3,e2)
| e1 != op(op(e3,e2),op(e3,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f173,plain,
( e0 != op(e3,e2)
| e1 != op(op(e3,e2),op(e3,e2)) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f176,plain,
( e0 != op(e2,e3)
| e1 != op(op(e2,e3),op(e2,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f177,plain,
( e0 != op(e2,e3)
| e1 != op(op(e2,e3),op(e2,e3)) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f178,plain,
( e3 != op(e1,e0)
| e2 != op(op(e1,e0),op(e1,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f179,plain,
( e3 != op(e1,e0)
| e2 != op(op(e1,e0),op(e1,e0)) ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f180,plain,
( e1 != op(e3,e0)
| e2 != op(op(e3,e0),op(e3,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f181,plain,
( e1 != op(e3,e0)
| e2 != op(op(e3,e0),op(e3,e0)) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
( e3 != op(e0,e1)
| e2 != op(op(e0,e1),op(e0,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f183,plain,
( e3 != op(e0,e1)
| e2 != op(op(e0,e1),op(e0,e1)) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f184,plain,
( e0 != op(e3,e1)
| e2 != op(op(e3,e1),op(e3,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f185,plain,
( e0 != op(e3,e1)
| e2 != op(op(e3,e1),op(e3,e1)) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
( e1 != op(e0,e3)
| e2 != op(op(e0,e3),op(e0,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f187,plain,
( e1 != op(e0,e3)
| e2 != op(op(e0,e3),op(e0,e3)) ),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f188,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),op(e1,e3)) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f189,plain,
( e0 != op(e1,e3)
| e2 != op(op(e1,e3),op(e1,e3)) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
( e2 != op(e1,e0)
| e3 != op(op(e1,e0),op(e1,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f191,plain,
( e2 != op(e1,e0)
| e3 != op(op(e1,e0),op(e1,e0)) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f192,plain,
( e1 != op(e2,e0)
| e3 != op(op(e2,e0),op(e2,e0)) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f193,plain,
( e1 != op(e2,e0)
| e3 != op(op(e2,e0),op(e2,e0)) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
( e2 != op(e0,e1)
| e3 != op(op(e0,e1),op(e0,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f26]) ).
fof(f195,plain,
( e2 != op(e0,e1)
| e3 != op(op(e0,e1),op(e0,e1)) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
( e0 != op(e2,e1)
| e3 != op(op(e2,e1),op(e2,e1)) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f197,plain,
( e0 != op(e2,e1)
| e3 != op(op(e2,e1),op(e2,e1)) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f198,plain,
( e1 != op(e0,e2)
| e3 != op(op(e0,e2),op(e0,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f199,plain,
( e1 != op(e0,e2)
| e3 != op(op(e0,e2),op(e0,e2)) ),
inference(cnf_transformation,[status(thm)],[f198]) ).
fof(f200,plain,
( e0 != op(e1,e2)
| e3 != op(op(e1,e2),op(e1,e2)) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f201,plain,
( e0 != op(e1,e2)
| e3 != op(op(e1,e2),op(e1,e2)) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,definition,
( sP1_prd
<=> ( ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f203,plain,
( sP0_prd
<=> ( ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f132,f202]) ).
fof(f204,plain,
( ( ( ( op(e2,op(e3,e2)) != op(e3,e2)
| op(e2,op(e2,e2)) != op(e2,e2)
| op(e2,op(e1,e2)) != op(e1,e2)
| op(e2,op(e0,e2)) != op(e0,e2) )
& ~ sP1_prd )
| sP0_prd )
& ( ( op(e2,op(e3,e2)) = op(e3,e2)
& op(e2,op(e2,e2)) = op(e2,e2)
& op(e2,op(e1,e2)) = op(e1,e2)
& op(e2,op(e0,e2)) = op(e0,e2) )
| sP1_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f203]) ).
fof(f205,plain,
( op(e2,op(e0,e2)) = op(e0,e2)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
( op(e2,op(e1,e2)) = op(e1,e2)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f207,plain,
( op(e2,op(e2,e2)) = op(e2,e2)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f208,plain,
( op(e2,op(e3,e2)) = op(e3,e2)
| sP1_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f211,definition,
( sP2_prd
<=> ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f212,plain,
( sP1_prd
<=> ( ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f202,f211]) ).
fof(f213,plain,
( ( ( ( op(e1,op(e3,e1)) != op(e3,e1)
| op(e1,op(e2,e1)) != op(e2,e1)
| op(e1,op(e1,e1)) != op(e1,e1)
| op(e1,op(e0,e1)) != op(e0,e1) )
& ~ sP2_prd )
| sP1_prd )
& ( ( op(e1,op(e3,e1)) = op(e3,e1)
& op(e1,op(e2,e1)) = op(e2,e1)
& op(e1,op(e1,e1)) = op(e1,e1)
& op(e1,op(e0,e1)) = op(e0,e1) )
| sP2_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f212]) ).
fof(f214,plain,
( op(e1,op(e0,e1)) = op(e0,e1)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
( op(e1,op(e1,e1)) = op(e1,e1)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f216,plain,
( op(e1,op(e2,e1)) = op(e2,e1)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f217,plain,
( op(e1,op(e3,e1)) = op(e3,e1)
| sP2_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f218,plain,
( ~ sP2_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f220,plain,
( ( op(e0,op(e3,e0)) != op(e3,e0)
| op(e0,op(e2,e0)) != op(e2,e0)
| op(e0,op(e1,e0)) != op(e1,e0)
| op(e0,op(e0,e0)) != op(e0,e0)
| sP2_prd )
& ( ( op(e0,op(e3,e0)) = op(e3,e0)
& op(e0,op(e2,e0)) = op(e2,e0)
& op(e0,op(e1,e0)) = op(e1,e0)
& op(e0,op(e0,e0)) = op(e0,e0) )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f211]) ).
fof(f221,plain,
( op(e0,op(e0,e0)) = op(e0,e0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( op(e0,op(e1,e0)) = op(e1,e0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f223,plain,
( op(e0,op(e2,e0)) = op(e2,e0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f224,plain,
( op(e0,op(e3,e0)) = op(e3,e0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f220]) ).
fof(f226,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ1_spl
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ1_spl
| op(e0,e0) = e1 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ2_spl
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ2_spl
| op(e0,e0) = e2 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ3_spl
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ3_spl
| op(e0,e0) = e3 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f226,f229,f232,f235]) ).
fof(f239,definition,
( sQ4_spl
<=> op(e0,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ4_spl
| op(e0,e1) = e0 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ5_spl
<=> op(e0,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ5_spl
| op(e0,e1) = e1 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ6_spl
<=> op(e0,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ6_spl
| op(e0,e1) = e2 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ7_spl
<=> op(e0,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ7_spl
| op(e0,e1) = e3 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ7_spl
| op(e0,e1) != e3 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f31,f239,f242,f245,f248]) ).
fof(f252,definition,
( sQ8_spl
<=> op(e0,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ8_spl
| op(e0,e2) = e0 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ9_spl
<=> op(e0,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ9_spl
| op(e0,e2) = e1 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ10_spl
<=> op(e0,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ10_spl
| op(e0,e2) = e2 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ11_spl
<=> op(e0,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ11_spl
| op(e0,e2) = e3 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f32,f252,f255,f258,f261]) ).
fof(f265,definition,
( sQ12_spl
<=> op(e0,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ12_spl
| op(e0,e3) = e0 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ13_spl
<=> op(e0,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ13_spl
| op(e0,e3) = e1 ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ14_spl
<=> op(e0,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ14_spl
| op(e0,e3) = e2 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ14_spl
| op(e0,e3) != e2 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,definition,
( sQ15_spl
<=> op(e0,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ15_spl
| op(e0,e3) = e3 ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f33,f265,f268,f271,f274]) ).
fof(f278,definition,
( sQ16_spl
<=> op(e1,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ16_spl
| op(e1,e0) = e0 ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ17_spl
<=> op(e1,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f284,definition,
( sQ18_spl
<=> op(e1,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ18_spl
| op(e1,e0) = e2 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ19_spl
<=> op(e1,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ19_spl
| op(e1,e0) = e3 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f34,f278,f281,f284,f287]) ).
fof(f291,definition,
( sQ20_spl
<=> op(e1,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ20_spl
| op(e1,e1) = e0 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ21_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ22_spl
<=> op(e1,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ22_spl
| op(e1,e1) = e2 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ23_spl
<=> op(e1,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ23_spl
| op(e1,e1) = e3 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f304,definition,
( sQ24_spl
<=> op(e1,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ24_spl
| op(e1,e2) = e0 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ25_spl
<=> op(e1,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ25_spl
| op(e1,e2) = e1 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ26_spl
<=> op(e1,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ26_spl
| op(e1,e2) = e2 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ27_spl
<=> op(e1,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ27_spl
| op(e1,e2) = e3 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f36,f304,f307,f310,f313]) ).
fof(f317,definition,
( sQ28_spl
<=> op(e1,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ28_spl
| op(e1,e3) = e0 ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ29_spl
<=> op(e1,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ29_spl
| op(e1,e3) = e1 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ30_spl
<=> op(e1,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ30_spl
| op(e1,e3) = e2 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ31_spl
<=> op(e1,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ31_spl
| op(e1,e3) = e3 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f37,f317,f320,f323,f326]) ).
fof(f330,definition,
( sQ32_spl
<=> op(e2,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ32_spl
| op(e2,e0) = e0 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ33_spl
<=> op(e2,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ33_spl
| op(e2,e0) = e1 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ34_spl
<=> op(e2,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ34_spl
| op(e2,e0) = e2 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ35_spl
<=> op(e2,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ35_spl
| op(e2,e0) = e3 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f38,f330,f333,f336,f339]) ).
fof(f343,definition,
( sQ36_spl
<=> op(e2,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ36_spl
| op(e2,e1) = e0 ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ37_spl
<=> op(e2,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ37_spl
| op(e2,e1) = e1 ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ38_spl
<=> op(e2,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ38_spl
| op(e2,e1) = e2 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ39_spl
<=> op(e2,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ39_spl
| op(e2,e1) = e3 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f39,f343,f346,f349,f352]) ).
fof(f356,definition,
( sQ40_spl
<=> op(e2,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ40_spl
| op(e2,e2) = e0 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ41_spl
<=> op(e2,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ41_spl
| op(e2,e2) = e1 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ42_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ42_spl
| op(e2,e2) = e2 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ43_spl
<=> op(e2,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ43_spl
| op(e2,e2) = e3 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f369,definition,
( sQ44_spl
<=> op(e2,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ44_spl
| op(e2,e3) = e0 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ45_spl
<=> op(e2,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ45_spl
| op(e2,e3) = e1 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ46_spl
<=> op(e2,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ46_spl
| op(e2,e3) = e2 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ47_spl
<=> op(e2,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ47_spl
| op(e2,e3) = e3 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f41,f369,f372,f375,f378]) ).
fof(f382,definition,
( sQ48_spl
<=> op(e3,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ48_spl
| op(e3,e0) = e0 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ49_spl
<=> op(e3,e0) = e1 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ49_spl
| op(e3,e0) = e1 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ50_spl
<=> op(e3,e0) = e2 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ50_spl
| op(e3,e0) = e2 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ51_spl
<=> op(e3,e0) = e3 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ51_spl
| op(e3,e0) = e3 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f42,f382,f385,f388,f391]) ).
fof(f395,definition,
( sQ52_spl
<=> op(e3,e1) = e0 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ52_spl
| op(e3,e1) = e0 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ53_spl
<=> op(e3,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ53_spl
| op(e3,e1) = e1 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ54_spl
<=> op(e3,e1) = e2 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ54_spl
| op(e3,e1) = e2 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ55_spl
<=> op(e3,e1) = e3 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ55_spl
| op(e3,e1) = e3 ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f43,f395,f398,f401,f404]) ).
fof(f408,definition,
( sQ56_spl
<=> op(e3,e2) = e0 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ56_spl
| op(e3,e2) = e0 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ57_spl
<=> op(e3,e2) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f414,definition,
( sQ58_spl
<=> op(e3,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ58_spl
| op(e3,e2) = e2 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ58_spl
| op(e3,e2) != e2 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ59_spl
<=> op(e3,e2) = e3 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ59_spl
| op(e3,e2) = e3 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f44,f408,f411,f414,f417]) ).
fof(f421,definition,
( sQ60_spl
<=> op(e3,e3) = e0 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ60_spl
| op(e3,e3) = e0 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ61_spl
<=> op(e3,e3) = e1 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ61_spl
| op(e3,e3) = e1 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ62_spl
<=> op(e3,e3) = e2 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ62_spl
| op(e3,e3) = e2 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ63_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f435,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f226,f278,f330,f382]) ).
fof(f436,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f48,f229,f242,f255,f268]) ).
fof(f437,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f49,f229,f281,f333,f385]) ).
fof(f438,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f50,f232,f245,f258,f271]) ).
fof(f439,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f51,f232,f284,f336,f388]) ).
fof(f440,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f52,f235,f248,f261,f274]) ).
fof(f443,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f55,f239,f291,f343,f395]) ).
fof(f445,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f57,f242,f294,f346,f398]) ).
fof(f446,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f58,f284,f297,f310,f323]) ).
fof(f447,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f59,f245,f297,f349,f401]) ).
fof(f448,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f60,f287,f300,f313,f326]) ).
fof(f449,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f61,f248,f300,f352,f404]) ).
fof(f450,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f62,f330,f343,f356,f369]) ).
fof(f451,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f63,f252,f304,f356,f408]) ).
fof(f452,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f64,f333,f346,f359,f372]) ).
fof(f453,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f255,f307,f359,f411]) ).
fof(f454,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f66,f336,f349,f362,f375]) ).
fof(f455,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f67,f258,f310,f362,f414]) ).
fof(f456,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f68,f339,f352,f365,f378]) ).
fof(f457,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f69,f261,f313,f365,f417]) ).
fof(f458,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f70,f382,f395,f408,f421]) ).
fof(f459,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f71,f265,f317,f369,f421]) ).
fof(f460,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f72,f385,f398,f411,f424]) ).
fof(f461,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f73,f268,f320,f372,f424]) ).
fof(f462,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f74,f388,f401,f414,f427]) ).
fof(f463,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f75,f271,f323,f375,f427]) ).
fof(f464,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f76,f391,f404,f417,f430]) ).
fof(f466,definition,
( sQ64_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f469,definition,
( sQ65_spl
<=> op(e3,op(e0,e3)) = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ65_spl
| op(e3,op(e0,e3)) = op(e0,e3) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f150,f466,f469]) ).
fof(f473,definition,
( sQ66_spl
<=> op(e3,op(e1,e3)) = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ66_spl
| op(e3,op(e1,e3)) = op(e1,e3) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( sQ66_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f151,f466,f473]) ).
fof(f477,definition,
( sQ67_spl
<=> op(e3,op(e2,e3)) = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ67_spl
| op(e3,op(e2,e3)) = op(e2,e3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ67_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f152,f466,f477]) ).
fof(f485,definition,
( sQ69_spl
<=> e0 = op(op(e2,e1),op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( sQ69_spl
| e0 != op(op(e2,e1),op(e2,e1)) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ sQ39_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f155,f485,f352]) ).
fof(f497,definition,
( sQ72_spl
<=> e0 = op(op(e3,e2),op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ72_spl
| e0 != op(op(e3,e2),op(e3,e2)) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( ~ sQ57_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f161,f497,f411]) ).
fof(f501,definition,
( sQ73_spl
<=> e0 = op(op(e1,e3),op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ73_spl
| e0 != op(op(e1,e3),op(e1,e3)) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ sQ30_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f163,f501,f323]) ).
fof(f505,definition,
( sQ74_spl
<=> e0 = op(op(e2,e3),op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ74_spl
| e0 != op(op(e2,e3),op(e2,e3)) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( ~ sQ45_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f165,f505,f372]) ).
fof(f509,definition,
( sQ75_spl
<=> e1 = op(op(e2,e0),op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( sQ75_spl
| e1 != op(op(e2,e0),op(e2,e0)) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( ~ sQ35_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f167,f509,f339]) ).
fof(f513,definition,
( sQ76_spl
<=> e1 = op(op(e3,e0),op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ76_spl
| e1 != op(op(e3,e0),op(e3,e0)) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( ~ sQ50_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f169,f513,f388]) ).
fof(f517,definition,
( sQ77_spl
<=> e1 = op(op(e0,e2),op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ77_spl
| e1 != op(op(e0,e2),op(e0,e2)) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( ~ sQ11_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f171,f517,f261]) ).
fof(f521,definition,
( sQ78_spl
<=> e1 = op(op(e3,e2),op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ78_spl
| e1 != op(op(e3,e2),op(e3,e2)) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ sQ56_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f173,f521,f408]) ).
fof(f525,definition,
( sQ79_spl
<=> e1 = op(op(e0,e3),op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( sQ79_spl
| e1 != op(op(e0,e3),op(e0,e3)) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f529,definition,
( sQ80_spl
<=> e1 = op(op(e2,e3),op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ44_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f177,f529,f369]) ).
fof(f533,definition,
( sQ81_spl
<=> e2 = op(op(e1,e0),op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ81_spl
| e2 != op(op(e1,e0),op(e1,e0)) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ19_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f179,f533,f287]) ).
fof(f537,definition,
( sQ82_spl
<=> e2 = op(op(e3,e0),op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( sQ82_spl
| e2 != op(op(e3,e0),op(e3,e0)) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ49_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f181,f537,f385]) ).
fof(f541,definition,
( sQ83_spl
<=> e2 = op(op(e0,e1),op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ7_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f183,f541,f248]) ).
fof(f545,definition,
( sQ84_spl
<=> e2 = op(op(e3,e1),op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ52_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f185,f545,f395]) ).
fof(f549,definition,
( sQ85_spl
<=> e2 = op(op(e0,e3),op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ85_spl
| e2 != op(op(e0,e3),op(e0,e3)) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( ~ sQ13_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f187,f549,f268]) ).
fof(f553,definition,
( sQ86_spl
<=> e2 = op(op(e1,e3),op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ28_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f189,f553,f317]) ).
fof(f557,definition,
( sQ87_spl
<=> e3 = op(op(e1,e0),op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( sQ87_spl
| e3 != op(op(e1,e0),op(e1,e0)) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( ~ sQ18_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f191,f557,f284]) ).
fof(f561,definition,
( sQ88_spl
<=> e3 = op(op(e2,e0),op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ33_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f193,f561,f333]) ).
fof(f565,definition,
( sQ89_spl
<=> e3 = op(op(e0,e1),op(e0,e1)) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( sQ89_spl
| e3 != op(op(e0,e1),op(e0,e1)) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( ~ sQ6_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f195,f565,f245]) ).
fof(f569,definition,
( sQ90_spl
<=> e3 = op(op(e2,e1),op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( sQ90_spl
| e3 != op(op(e2,e1),op(e2,e1)) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ sQ36_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f197,f569,f343]) ).
fof(f573,definition,
( sQ91_spl
<=> e3 = op(op(e0,e2),op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( sQ91_spl
| e3 != op(op(e0,e2),op(e0,e2)) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ sQ9_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f199,f573,f255]) ).
fof(f577,definition,
( sQ92_spl
<=> e3 = op(op(e1,e2),op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ24_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f201,f577,f304]) ).
fof(f581,definition,
( sQ93_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f584,definition,
( sQ94_spl
<=> op(e2,op(e0,e2)) = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ94_spl
| op(e2,op(e0,e2)) = op(e0,e2) ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( sQ94_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f205,f466,f581,f584]) ).
fof(f588,definition,
( sQ95_spl
<=> op(e2,op(e1,e2)) = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( sQ95_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f206,f466,f581,f588]) ).
fof(f592,definition,
( sQ96_spl
<=> op(e2,op(e2,e2)) = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( sQ96_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f207,f466,f581,f592]) ).
fof(f596,definition,
( sQ97_spl
<=> op(e2,op(e3,e2)) = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( sQ97_spl
| sQ93_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f208,f466,f581,f596]) ).
fof(f602,definition,
( sQ98_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f605,definition,
( sQ99_spl
<=> op(e1,op(e0,e1)) = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ99_spl
| op(e1,op(e0,e1)) = op(e0,e1) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( sQ99_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f214,f581,f602,f605]) ).
fof(f609,definition,
( sQ100_spl
<=> op(e1,op(e1,e1)) = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( sQ100_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f215,f581,f602,f609]) ).
fof(f613,definition,
( sQ101_spl
<=> op(e1,op(e2,e1)) = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( sQ101_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f216,f581,f602,f613]) ).
fof(f617,definition,
( sQ102_spl
<=> op(e1,op(e3,e1)) = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( sQ102_spl
| sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f217,f581,f602,f617]) ).
fof(f621,plain,
( ~ sQ98_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f218,f581,f602]) ).
fof(f623,definition,
( sQ103_spl
<=> op(e0,op(e0,e0)) = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( sQ103_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f221,f602,f623]) ).
fof(f627,definition,
( sQ104_spl
<=> op(e0,op(e1,e0)) = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ104_spl
| op(e0,op(e1,e0)) = op(e1,e0) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,plain,
( sQ104_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f222,f602,f627]) ).
fof(f631,definition,
( sQ105_spl
<=> op(e0,op(e2,e0)) = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( sQ105_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f223,f602,f631]) ).
fof(f635,definition,
( sQ106_spl
<=> op(e0,op(e3,e0)) = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ106_spl
| op(e0,op(e3,e0)) = op(e3,e0) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( sQ106_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f224,f602,f635]) ).
fof(f647,plain,
( ~ sQ1_spl
| op(e1,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f230,f134]) ).
fof(f654,plain,
( ~ sQ4_spl
| e0 != op(e0,e3) ),
inference(backward_demodulation,[status(thm)],[f240,f106]) ).
fof(f656,plain,
( ~ sQ4_spl
| e0 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f240,f86]) ).
fof(f659,plain,
( ~ sQ32_spl
| op(e0,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f331,f142]) ).
fof(f660,plain,
( ~ sQ32_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f331,f116]) ).
fof(f664,plain,
( ~ sQ12_spl
| op(e0,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f266,f137]) ).
fof(f665,plain,
( ~ sQ12_spl
| op(e0,e2) != e0 ),
inference(backward_demodulation,[status(thm)],[f266,f107]) ).
fof(f669,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f230,f233]) ).
fof(f670,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f129]) ).
fof(f671,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( ~ sQ8_spl
| op(e0,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f253,f136]) ).
fof(f673,plain,
( ~ sQ8_spl
| e0 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f253,f92]) ).
fof(f676,plain,
( ~ sQ48_spl
| op(e0,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f383,f146]) ).
fof(f677,plain,
( ~ sQ48_spl
| e0 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f383,f122]) ).
fof(f680,plain,
( ~ sQ46_spl
| op(e2,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f376,f145]) ).
fof(f687,plain,
( ~ sQ37_spl
| e1 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f347,f89]) ).
fof(f689,plain,
( ~ sQ29_spl
| op(e1,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f321,f141]) ).
fof(f693,plain,
( ~ sQ22_spl
| op(e2,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f298,f139]) ).
fof(f695,plain,
( ~ sQ22_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f298,f88]) ).
fof(f696,plain,
( ~ sQ58_spl
| op(e2,e3) = e2 ),
inference(backward_demodulation,[status(thm)],[f415,f148]) ).
fof(f698,plain,
( ~ sQ58_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f415,f123]) ).
fof(f700,plain,
( ~ sQ58_spl
| op(e1,e2) != e2 ),
inference(backward_demodulation,[status(thm)],[f415,f94]) ).
fof(f701,plain,
( ~ sQ25_spl
| op(e1,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f308,f140]) ).
fof(f703,plain,
( ~ sQ53_spl
| op(e1,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f399,f147]) ).
fof(f705,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f298,f301]) ).
fof(f706,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f131]) ).
fof(f707,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( ~ sQ43_spl
| op(e3,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f366,f144]) ).
fof(f709,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f431,f149]) ).
fof(f710,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f253,f259]) ).
fof(f711,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f127]) ).
fof(f712,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f711]) ).
fof(f713,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f331,f337]) ).
fof(f714,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f127]) ).
fof(f715,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f240,f243]) ).
fof(f717,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f126]) ).
fof(f718,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f738,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| op(e0,e0) = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f383,f636]) ).
fof(f739,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| ~ sQ3_spl
| e3 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f236,f738]) ).
fof(f740,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| ~ sQ3_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f383,f739]) ).
fof(f741,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f128]) ).
fof(f742,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f741]) ).
fof(f743,plain,
( ~ sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f664,f235,f265]) ).
fof(f751,plain,
( ~ sQ37_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f399,f687]) ).
fof(f752,plain,
( ~ sQ37_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f751]) ).
fof(f753,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f756,plain,
( ~ sQ26_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f700]) ).
fof(f757,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f321,f327]) ).
fof(f759,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f130]) ).
fof(f760,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f366,f357]) ).
fof(f762,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f128]) ).
fof(f763,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f772,plain,
( ~ sQ10_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f259,f136]) ).
fof(f778,plain,
( ~ sQ10_spl
| op(e2,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f772,f142]) ).
fof(f782,plain,
( ~ sQ10_spl
| e2 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f772,f114]) ).
fof(f783,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f350,f782]) ).
fof(f784,plain,
( ~ sQ10_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f783]) ).
fof(f785,plain,
( ~ sQ10_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f784]) ).
fof(f789,plain,
( ~ sQ0_spl
| e0 != op(e0,e1) ),
inference(backward_demodulation,[status(thm)],[f227,f102]) ).
fof(f790,plain,
( ~ sQ0_spl
| op(e0,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f227,f134]) ).
fof(f794,plain,
( ~ sQ20_spl
| op(e0,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f292,f139]) ).
fof(f799,plain,
( ~ sQ5_spl
| op(e1,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f243,f135]) ).
fof(f802,plain,
( ~ sQ5_spl
| e1 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f243,f86]) ).
fof(f810,plain,
( ~ sQ5_spl
| e1 != op(e1,e2) ),
inference(forward_demodulation,[status(thm)],[f799,f109]) ).
fof(f814,plain,
( ~ sQ5_spl
| e1 != op(e2,e0) ),
inference(forward_demodulation,[status(thm)],[f799,f81]) ).
fof(f815,plain,
( ~ sQ0_spl
| e0 != op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f227,f78]) ).
fof(f820,plain,
( ~ sQ51_spl
| op(e2,e0) != e3 ),
inference(backward_demodulation,[status(thm)],[f392,f83]) ).
fof(f821,plain,
( ~ sQ60_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f422,f149]) ).
fof(f830,plain,
( ~ sQ51_spl
| e3 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f392,f120]) ).
fof(f831,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f405,f830]) ).
fof(f832,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f831]) ).
fof(f833,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f422,f425]) ).
fof(f835,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f126]) ).
fof(f836,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f840,plain,
( ~ sQ20_spl
| e0 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f292,f87]) ).
fof(f848,plain,
( ~ sQ15_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f275,f97]) ).
fof(f851,plain,
( ~ sQ26_spl
| op(e2,e1) = e2 ),
inference(backward_demodulation,[status(thm)],[f311,f140]) ).
fof(f857,plain,
( ~ sQ59_spl
| op(e3,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f858,f124]) ).
fof(f858,plain,
( ~ sQ59_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f418,f148]) ).
fof(f871,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f292,f301]) ).
fof(f872,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f128]) ).
fof(f873,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f874,plain,
( ~ sQ47_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f848]) ).
fof(f875,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f877,plain,
( ~ sQ40_spl
| e0 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f357,f119]) ).
fof(f881,plain,
( ~ sQ40_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f357,f144]) ).
fof(f883,plain,
( ~ sQ25_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f701,f297,f307]) ).
fof(f887,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f243,f246]) ).
fof(f888,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f887,f129]) ).
fof(f889,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ37_spl
| e1 != op(e2,e3) ),
inference(backward_demodulation,[status(thm)],[f347,f118]) ).
fof(f893,plain,
( ~ sQ37_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f347,f143]) ).
fof(f911,plain,
( ~ sQ40_spl
| op(e2,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f881,f136]) ).
fof(f916,plain,
( ~ sQ52_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f396,f147]) ).
fof(f919,plain,
( ~ sQ40_spl
| e2 != op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f911,f83]) ).
fof(f920,plain,
( ~ sQ40_spl
| ~ sQ50_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f389,f919]) ).
fof(f921,plain,
( ~ sQ40_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f920]) ).
fof(f922,plain,
( ~ sQ40_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f921]) ).
fof(f931,plain,
( ~ sQ59_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f858,f149]) ).
fof(f933,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f665,f252,f265]) ).
fof(f936,plain,
( ~ sQ45_spl
| ~ sQ59_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f931,f373]) ).
fof(f937,plain,
( ~ sQ45_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f130]) ).
fof(f938,plain,
( ~ sQ45_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( ~ sQ31_spl
| op(e3,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f327,f141]) ).
fof(f945,plain,
( ~ sQ21_spl
| e1 != op(e2,e1) ),
inference(forward_demodulation,[status(thm)],[f295,f87]) ).
fof(f952,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f340,f337]) ).
fof(f953,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f131]) ).
fof(f954,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f953]) ).
fof(f957,plain,
( ~ sQ2_spl
| op(e2,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f233,f134]) ).
fof(f958,plain,
( ~ sQ2_spl
| e2 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f233,f80]) ).
fof(f961,plain,
( sQ89_spl
| ~ sQ7_spl
| e3 != op(e3,op(e0,e1)) ),
inference(forward_demodulation,[status(thm)],[f249,f567]) ).
fof(f962,plain,
( sQ89_spl
| ~ sQ7_spl
| e3 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f249,f961]) ).
fof(f964,plain,
( ~ sQ21_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f295,f108]) ).
fof(f971,plain,
( ~ sQ7_spl
| e3 != op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f249,f106]) ).
fof(f973,plain,
( sQ82_spl
| ~ sQ7_spl
| e2 != op(op(e3,e0),e1) ),
inference(backward_demodulation,[status(thm)],[f976,f539]) ).
fof(f975,plain,
( ~ sQ7_spl
| op(e1,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f976,f146]) ).
fof(f976,plain,
( ~ sQ7_spl
| op(e3,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f249,f135]) ).
fof(f982,plain,
( sQ90_spl
| ~ sQ36_spl
| e3 != op(op(e2,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f344,f571]) ).
fof(f984,plain,
( ~ sQ24_spl
| op(e1,e0) != e0 ),
inference(backward_demodulation,[status(thm)],[f305,f109]) ).
fof(f991,plain,
( ~ sQ18_spl
| op(e2,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f285,f138]) ).
fof(f997,plain,
( ~ sQ36_spl
| e0 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f344,f118]) ).
fof(f998,plain,
( ~ sQ36_spl
| e0 != op(e3,e1) ),
inference(forward_demodulation,[status(thm)],[f344,f89]) ).
fof(f1000,plain,
( sQ91_spl
| ~ sQ36_spl
| e3 != op(op(e0,e2),e1) ),
inference(backward_demodulation,[status(thm)],[f1002,f575]) ).
fof(f1002,plain,
( ~ sQ36_spl
| op(e0,e2) = e1 ),
inference(forward_demodulation,[status(thm)],[f344,f143]) ).
fof(f1007,plain,
( ~ sQ36_spl
| op(e1,e0) = e2 ),
inference(forward_demodulation,[status(thm)],[f1002,f136]) ).
fof(f1008,plain,
( ~ sQ36_spl
| e1 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1002,f92]) ).
fof(f1021,plain,
( ~ sQ63_spl
| sQ89_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f962]) ).
fof(f1022,plain,
( ~ sQ63_spl
| sQ89_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1021]) ).
fof(f1023,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e2 = e1 ),
inference(forward_demodulation,[status(thm)],[f363,f360]) ).
fof(f1024,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1023,f129]) ).
fof(f1025,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1024]) ).
fof(f1031,plain,
( ~ sQ46_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f680,f365,f375]) ).
fof(f1043,plain,
( ~ sQ31_spl
| e3 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f327,f99]) ).
fof(f1055,plain,
( sQ85_spl
| ~ sQ13_spl
| e2 != op(op(e0,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f269,f551]) ).
fof(f1056,plain,
( ~ sQ13_spl
| op(e1,e0) = e3 ),
inference(backward_demodulation,[status(thm)],[f269,f137]) ).
fof(f1062,plain,
( ~ sQ31_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f939,f404,f326]) ).
fof(f1068,plain,
( ~ sQ11_spl
| op(e0,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f262,f103]) ).
fof(f1078,plain,
( ~ sQ6_spl
| op(e2,e0) = e1 ),
inference(forward_demodulation,[status(thm)],[f246,f135]) ).
fof(f1096,plain,
( ~ sQ6_spl
| e1 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f1078,f115]) ).
fof(f1097,plain,
( ~ sQ6_spl
| ~ sQ41_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f360,f1096]) ).
fof(f1098,plain,
( ~ sQ6_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ6_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1102,plain,
( ~ sQ22_spl
| op(e1,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f693,f143]) ).
fof(f1106,plain,
( ~ sQ22_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f695,f401,f297]) ).
fof(f1113,plain,
( ~ sQ54_spl
| op(e3,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f402,f120]) ).
fof(f1116,plain,
( ~ sQ39_spl
| ~ sQ22_spl
| e1 = e3 ),
inference(forward_demodulation,[status(thm)],[f693,f353]) ).
fof(f1117,plain,
( ~ sQ39_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f130]) ).
fof(f1118,plain,
( ~ sQ39_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1125,plain,
( ~ sQ60_spl
| ~ sQ14_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f272,f821]) ).
fof(f1126,plain,
( ~ sQ60_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f131]) ).
fof(f1127,plain,
( ~ sQ60_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( ~ sQ33_spl
| e1 != op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f334,f116]) ).
fof(f1130,plain,
( ~ sQ2_spl
| ~ sQ33_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f334,f957]) ).
fof(f1131,plain,
( ~ sQ2_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1130,f126]) ).
fof(f1132,plain,
( ~ sQ2_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f958,f388,f232]) ).
fof(f1142,plain,
( ~ sQ9_spl
| op(e1,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f256,f136]) ).
fof(f1144,plain,
( ~ sQ9_spl
| e1 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f256,f91]) ).
fof(f1145,plain,
( ~ sQ9_spl
| e1 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f256,f90]) ).
fof(f1167,plain,
( ~ sQ21_spl
| op(e1,e1) = e1 ),
inference(backward_demodulation,[status(thm)],[f295,f139]) ).
fof(f1169,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f945,f346,f294]) ).
fof(f1170,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f964,f281,f294]) ).
fof(f1182,plain,
( ~ sQ43_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f708,f414,f365]) ).
fof(f1194,plain,
( ~ sQ28_spl
| op(e0,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f318,f141]) ).
fof(f1218,plain,
( ~ sQ26_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f851,f349,f310]) ).
fof(f1219,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f305,f311]) ).
fof(f1220,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f127]) ).
fof(f1221,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1226,plain,
( ~ sQ44_spl
| op(e0,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f370,f145]) ).
fof(f1230,plain,
( ~ sQ9_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1142,f284,f255]) ).
fof(f1231,plain,
( ~ sQ9_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1144,f359,f255]) ).
fof(f1232,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1145,f307,f255]) ).
fof(f1233,plain,
( ~ sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f794,f242,f291]) ).
fof(f1235,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f840,f343,f291]) ).
fof(f1237,plain,
( ~ sQ34_spl
| e2 != op(e2,e1) ),
inference(backward_demodulation,[status(thm)],[f337,f114]) ).
fof(f1238,plain,
( ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f337,f142]) ).
fof(f1242,plain,
( ~ sQ34_spl
| op(e1,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f337,f81]) ).
fof(f1269,plain,
( ~ sQ38_spl
| op(e2,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f350,f143]) ).
fof(f1270,plain,
( ~ sQ38_spl
| e2 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f350,f89]) ).
fof(f1273,plain,
( ~ sQ58_spl
| ~ sQ44_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f370,f696]) ).
fof(f1274,plain,
( ~ sQ58_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1273,f127]) ).
fof(f1275,plain,
( ~ sQ58_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1274]) ).
fof(f1284,plain,
( ~ sQ63_spl
| op(e3,e3) = e3 ),
inference(backward_demodulation,[status(thm)],[f431,f149]) ).
fof(f1289,plain,
( ~ sQ22_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1102,f307,f297]) ).
fof(f1298,plain,
( ~ sQ19_spl
| e3 != op(e1,e2) ),
inference(backward_demodulation,[status(thm)],[f288,f109]) ).
fof(f1300,plain,
( ~ sQ19_spl
| e3 != op(e3,e0) ),
inference(backward_demodulation,[status(thm)],[f288,f82]) ).
fof(f1304,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e0,op(e1,e0)) = e3 ),
inference(backward_demodulation,[status(thm)],[f288,f628]) ).
fof(f1305,plain,
( ~ sQ19_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f288,f138]) ).
fof(f1306,plain,
( sQ81_spl
| ~ sQ19_spl
| e2 != op(op(e1,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f288,f535]) ).
fof(f1345,plain,
( sQ72_spl
| ~ sQ56_spl
| e0 != op(e0,op(e3,e2)) ),
inference(forward_demodulation,[status(thm)],[f409,f499]) ).
fof(f1346,plain,
( sQ72_spl
| ~ sQ56_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f409,f1345]) ).
fof(f1348,plain,
( ~ sQ56_spl
| op(e0,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f409,f148]) ).
fof(f1349,plain,
( ~ sQ56_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f273]) ).
fof(f1350,plain,
( ~ sQ56_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1349]) ).
fof(f1354,plain,
( ~ sQ34_spl
| op(e0,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f1238,f144]) ).
fof(f1356,plain,
( ~ sQ34_spl
| e0 != op(e3,e2) ),
inference(forward_demodulation,[status(thm)],[f1238,f95]) ).
fof(f1365,plain,
( ~ sQ52_spl
| op(e0,e1) != e1 ),
inference(backward_demodulation,[status(thm)],[f916,f106]) ).
fof(f1368,plain,
( ~ sQ52_spl
| e1 != op(e1,e3) ),
inference(backward_demodulation,[status(thm)],[f916,f96]) ).
fof(f1370,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f405,f396]) ).
fof(f1371,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f128]) ).
fof(f1372,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1374,plain,
( ~ sQ48_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f676,f265,f382]) ).
fof(f1375,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f677,f421,f382]) ).
fof(f1380,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f891,f372,f346]) ).
fof(f1381,plain,
( ~ sQ37_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f893,f307,f346]) ).
fof(f1385,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f877,f369,f356]) ).
fof(f1387,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f363,f357]) ).
fof(f1388,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f127]) ).
fof(f1389,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1388]) ).
fof(f1412,plain,
( ~ sQ5_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f814,f333,f242]) ).
fof(f1413,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f802,f398,f242]) ).
fof(f1415,plain,
( ~ sQ5_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f810,f307,f242]) ).
fof(f1420,plain,
( ~ sQ27_spl
| op(e0,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f314,f90]) ).
fof(f1421,plain,
( ~ sQ18_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f991,f343,f284]) ).
fof(f1425,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| e1 = e2 ),
inference(forward_demodulation,[status(thm)],[f799,f285]) ).
fof(f1426,plain,
( ~ sQ18_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1425,f129]) ).
fof(f1427,plain,
( ~ sQ18_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1426]) ).
fof(f1428,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f698,f401,f414]) ).
fof(f1447,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| op(e3,op(e0,e3)) = e2 ),
inference(backward_demodulation,[status(thm)],[f272,f470]) ).
fof(f1456,plain,
( ~ sQ3_spl
| op(e3,e0) = e0 ),
inference(backward_demodulation,[status(thm)],[f236,f134]) ).
fof(f1457,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f984,f278,f304]) ).
fof(f1502,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f820,f339,f391]) ).
fof(f1512,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f997,f369,f343]) ).
fof(f1515,plain,
( sQ69_spl
| ~ sQ36_spl
| e0 != op(op(e2,e1),e0) ),
inference(backward_demodulation,[status(thm)],[f344,f487]) ).
fof(f1516,plain,
( ~ sQ36_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f344,f143]) ).
fof(f1520,plain,
( ~ sQ36_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f998,f395,f343]) ).
fof(f1525,plain,
( ~ sQ36_spl
| op(e1,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f1002,f136]) ).
fof(f1527,plain,
( ~ sQ36_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1008,f411,f343]) ).
fof(f1528,plain,
( sQ91_spl
| ~ sQ36_spl
| e3 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1002,f1000]) ).
fof(f1529,plain,
( sQ91_spl
| ~ sQ36_spl
| ~ sQ29_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f689,f1528]) ).
fof(f1530,plain,
( sQ91_spl
| ~ sQ36_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1529]) ).
fof(f1531,plain,
( sQ91_spl
| ~ sQ36_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1552,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f703,f1368]) ).
fof(f1553,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1552]) ).
fof(f1554,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1553]) ).
fof(f1559,plain,
( ~ sQ28_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1194,f248,f317]) ).
fof(f1560,plain,
( ~ sQ28_spl
| ~ sQ53_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f703,f318]) ).
fof(f1561,plain,
( ~ sQ28_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1560,f126]) ).
fof(f1562,plain,
( ~ sQ28_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1561]) ).
fof(f1564,plain,
( ~ sQ47_spl
| op(e3,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f379,f145]) ).
fof(f1568,plain,
( ~ sQ47_spl
| op(e2,e2) != e3 ),
inference(backward_demodulation,[status(thm)],[f379,f119]) ).
fof(f1572,plain,
( ~ sQ49_spl
| op(e1,e3) = e0 ),
inference(backward_demodulation,[status(thm)],[f386,f146]) ).
fof(f1574,plain,
( ~ sQ49_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f386,f121]) ).
fof(f1581,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f654,f265,f239]) ).
fof(f1586,plain,
( ~ sQ62_spl
| op(e2,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f428,f149]) ).
fof(f1587,plain,
( ~ sQ49_spl
| op(e1,e0) != e1 ),
inference(forward_demodulation,[status(thm)],[f386,f82]) ).
fof(f1592,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1298,f313,f287]) ).
fof(f1596,plain,
( ~ sQ19_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1305,f395,f287]) ).
fof(f1601,plain,
( sQ81_spl
| ~ sQ19_spl
| e2 != op(e3,e3) ),
inference(backward_demodulation,[status(thm)],[f288,f1306]) ).
fof(f1610,plain,
( ~ sQ19_spl
| op(e3,e1) = e0 ),
inference(forward_demodulation,[status(thm)],[f288,f138]) ).
fof(f1611,plain,
( ~ sQ19_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1610,f656]) ).
fof(f1612,plain,
( ~ sQ19_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1619,plain,
( ~ sQ34_spl
| op(e2,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f337,f142]) ).
fof(f1622,plain,
( ~ sQ34_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1238,f356,f336]) ).
fof(f1626,plain,
( ~ sQ34_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1356,f408,f336]) ).
fof(f1628,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1237,f349,f336]) ).
fof(f1632,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| op(e3,e3) = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f379,f478]) ).
fof(f1633,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl
| e2 = op(e2,e3) ),
inference(forward_demodulation,[status(thm)],[f428,f1632]) ).
fof(f1634,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f379,f1633]) ).
fof(f1635,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1634,f131]) ).
fof(f1636,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1635]) ).
fof(f1638,plain,
( ~ sQ3_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1456,f382,f235]) ).
fof(f1646,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1568,f365,f378]) ).
fof(f1649,plain,
( ~ sQ8_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f672,f232,f252]) ).
fof(f1650,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f673,f408,f252]) ).
fof(f1665,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| e3 = e0 ),
inference(forward_demodulation,[status(thm)],[f1564,f409]) ).
fof(f1666,plain,
( ~ sQ56_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f128]) ).
fof(f1667,plain,
( ~ sQ56_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( ~ sQ32_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f659,f252,f330]) ).
fof(f1669,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f660,f369,f330]) ).
fof(f1685,plain,
( ~ sQ7_spl
| e3 != op(e0,e2) ),
inference(backward_demodulation,[status(thm)],[f249,f105]) ).
fof(f1686,plain,
( ~ sQ7_spl
| op(e3,e0) = e1 ),
inference(backward_demodulation,[status(thm)],[f249,f135]) ).
fof(f1688,plain,
( ~ sQ7_spl
| e3 != op(e3,e1) ),
inference(backward_demodulation,[status(thm)],[f249,f86]) ).
fof(f1696,plain,
( ~ sQ106_spl
| ~ sQ7_spl
| op(e0,op(e3,e0)) = e1 ),
inference(backward_demodulation,[status(thm)],[f976,f636]) ).
fof(f1704,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f971,f274,f248]) ).
fof(f1705,plain,
( sQ82_spl
| ~ sQ7_spl
| e2 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f976,f973]) ).
fof(f1708,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1574,f411,f385]) ).
fof(f1719,plain,
( ~ sQ13_spl
| op(e3,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f1056,f138]) ).
fof(f1721,plain,
( sQ85_spl
| ~ sQ13_spl
| e2 != op(e1,e1) ),
inference(backward_demodulation,[status(thm)],[f269,f1055]) ).
fof(f1741,plain,
( ~ sQ22_spl
| sQ82_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f298,f1705]) ).
fof(f1742,plain,
( ~ sQ22_spl
| sQ82_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1753,plain,
( ~ sQ19_spl
| op(e0,e3) = e1 ),
inference(backward_demodulation,[status(thm)],[f1610,f147]) ).
fof(f1755,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1300,f391,f287]) ).
fof(f1756,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e0,e3) = e3 ),
inference(forward_demodulation,[status(thm)],[f288,f1304]) ).
fof(f1762,plain,
( ~ sQ59_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f857,f401,f417]) ).
fof(f1763,plain,
( ~ sQ59_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f858,f427,f417]) ).
fof(f1771,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| op(e0,e2) != e3 ),
inference(forward_demodulation,[status(thm)],[f1756,f107]) ).
fof(f1772,plain,
( ~ sQ52_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f1365,f242,f395]) ).
fof(f1773,plain,
( ~ sQ52_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f916,f268,f395]) ).
fof(f1778,plain,
( ~ sQ52_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1368,f320,f395]) ).
fof(f1784,plain,
( ~ sQ59_spl
| op(e3,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f418,f148]) ).
fof(f1785,plain,
( ~ sQ59_spl
| sQ81_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1784,f1601]) ).
fof(f1786,plain,
( ~ sQ59_spl
| sQ81_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1790,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1685,f261,f248]) ).
fof(f1791,plain,
( ~ sQ7_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1686,f385,f248]) ).
fof(f1792,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1688,f404,f248]) ).
fof(f1795,plain,
( ~ sQ106_spl
| ~ sQ7_spl
| op(e0,e1) = e1 ),
inference(forward_demodulation,[status(thm)],[f976,f1696]) ).
fof(f1796,plain,
( ~ sQ106_spl
| ~ sQ7_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f249,f1795]) ).
fof(f1797,plain,
( ~ sQ106_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1796,f130]) ).
fof(f1798,plain,
( ~ sQ106_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1797]) ).
fof(f1801,plain,
( ~ sQ38_spl
| e1 != op(e3,e2) ),
inference(backward_demodulation,[status(thm)],[f1269,f95]) ).
fof(f1804,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1270,f401,f349]) ).
fof(f1808,plain,
( ~ sQ11_spl
| op(e3,e0) = e2 ),
inference(backward_demodulation,[status(thm)],[f262,f136]) ).
fof(f1811,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1068,f235,f261]) ).
fof(f1825,plain,
( sQ77_spl
| ~ sQ11_spl
| e1 != op(e3,op(e0,e2)) ),
inference(forward_demodulation,[status(thm)],[f262,f519]) ).
fof(f1826,plain,
( sQ77_spl
| ~ sQ11_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f262,f1825]) ).
fof(f1827,plain,
( sQ77_spl
| ~ sQ11_spl
| ~ sQ61_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f425,f1826]) ).
fof(f1828,plain,
( sQ77_spl
| ~ sQ11_spl
| ~ sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1827]) ).
fof(f1829,plain,
( sQ77_spl
| ~ sQ11_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1828]) ).
fof(f1836,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1420,f261,f313]) ).
fof(f1845,plain,
( ~ sQ63_spl
| op(e3,e0) != e3 ),
inference(forward_demodulation,[status(thm)],[f1284,f122]) ).
fof(f1848,plain,
( ~ sQ62_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1586,f378,f427]) ).
fof(f1849,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f1284,f428]) ).
fof(f1850,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f131]) ).
fof(f1851,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1850]) ).
fof(f1852,plain,
( ~ sQ11_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1808,f388,f261]) ).
fof(f1853,plain,
( sQ85_spl
| ~ sQ13_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1721,f297,f268,f549]) ).
fof(f1854,plain,
( ~ sQ13_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1719,f395,f268]) ).
fof(f1855,plain,
( ~ sQ13_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1056,f287,f268]) ).
fof(f1883,plain,
( ~ sQ30_spl
| op(e2,e1) = e3 ),
inference(backward_demodulation,[status(thm)],[f324,f141]) ).
fof(f1884,plain,
( sQ73_spl
| ~ sQ30_spl
| e0 != op(op(e1,e3),e2) ),
inference(backward_demodulation,[status(thm)],[f324,f503]) ).
fof(f1895,plain,
( ~ sQ38_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1801,f411,f349]) ).
fof(f1898,plain,
( ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1269,f359,f349]) ).
fof(f1912,plain,
( ~ sQ30_spl
| ~ sQ38_spl
| e2 = e3 ),
inference(forward_demodulation,[status(thm)],[f350,f1883]) ).
fof(f1913,plain,
( ~ sQ30_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1912,f131]) ).
fof(f1914,plain,
( ~ sQ30_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1913]) ).
fof(f1915,plain,
( sQ73_spl
| ~ sQ30_spl
| e0 != op(e2,e2) ),
inference(forward_demodulation,[status(thm)],[f324,f1884]) ).
fof(f1916,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| op(e3,e2) = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f324,f474]) ).
fof(f1925,plain,
( ~ sQ66_spl
| ~ sQ30_spl
| op(e3,e2) = e2 ),
inference(forward_demodulation,[status(thm)],[f324,f1916]) ).
fof(f1935,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f789,f239,f226]) ).
fof(f1939,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f815,f278,f226]) ).
fof(f1942,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1845,f391,f430]) ).
fof(f1949,plain,
( sQ58_spl
| ~ sQ66_spl
| ~ sQ30_spl
| e2 != e2 ),
inference(forward_demodulation,[status(thm)],[f1925,f416]) ).
fof(f1950,plain,
( sQ58_spl
| ~ sQ66_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1949]) ).
fof(f1951,plain,
( sQ58_spl
| ~ sQ66_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1960,plain,
( ~ sQ50_spl
| op(e1,e0) != e2 ),
inference(forward_demodulation,[status(thm)],[f389,f82]) ).
fof(f1968,plain,
( ~ sQ33_spl
| op(e1,e2) = e0 ),
inference(backward_demodulation,[status(thm)],[f334,f142]) ).
fof(f1971,plain,
( ~ sQ33_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1129,f372,f333]) ).
fof(f1974,plain,
( ~ sQ30_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1883,f352,f323]) ).
fof(f1976,plain,
( ~ sQ36_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f1960]) ).
fof(f1977,plain,
( ~ sQ36_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1981,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1587,f281,f385]) ).
fof(f1988,plain,
( sQ74_spl
| ~ sQ45_spl
| e0 != op(op(e2,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f373,f507]) ).
fof(f1989,plain,
( ~ sQ45_spl
| op(e1,e2) = e3 ),
inference(backward_demodulation,[status(thm)],[f373,f145]) ).
fof(f1995,plain,
( sQ73_spl
| ~ sQ30_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1915,f356,f323,f501]) ).
fof(f2002,plain,
( ~ sQ34_spl
| op(e0,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f1619,f144]) ).
fof(f2018,plain,
( ~ sQ34_spl
| op(e0,e1) != e2 ),
inference(backward_demodulation,[status(thm)],[f1354,f105]) ).
fof(f2087,plain,
( ~ sQ16_spl
| op(e0,e1) = e0 ),
inference(backward_demodulation,[status(thm)],[f279,f138]) ).
fof(f2143,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| e3 = e1 ),
inference(forward_demodulation,[status(thm)],[f301,f1167]) ).
fof(f2144,plain,
( ~ sQ21_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f130]) ).
fof(f2145,plain,
( ~ sQ21_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2146,plain,
( sQ74_spl
| ~ sQ45_spl
| e0 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f373,f1988]) ).
fof(f2150,plain,
( ~ sQ36_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1516,f255,f343]) ).
fof(f2151,plain,
( sQ90_spl
| ~ sQ36_spl
| e3 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f344,f982]) ).
fof(f2157,plain,
( ~ sQ36_spl
| op(e0,e0) != e2 ),
inference(backward_demodulation,[status(thm)],[f1525,f78]) ).
fof(f2167,plain,
( ~ sQ10_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f778,f356,f258]) ).
fof(f2168,plain,
( ~ sQ10_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f772,f336,f258]) ).
fof(f2200,plain,
( sQ75_spl
| ~ sQ35_spl
| e1 != op(op(e2,e0),e3) ),
inference(backward_demodulation,[status(thm)],[f340,f511]) ).
fof(f2216,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| op(e0,e0) = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f647,f628]) ).
fof(f2217,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| e1 = op(e1,e0) ),
inference(forward_demodulation,[status(thm)],[f230,f2216]) ).
fof(f2218,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f647,f2217]) ).
fof(f2219,plain,
( ~ sQ104_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2218,f126]) ).
fof(f2220,plain,
( ~ sQ104_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2234,plain,
( sQ78_spl
| ~ sQ56_spl
| e1 != op(op(e3,e2),e0) ),
inference(backward_demodulation,[status(thm)],[f409,f523]) ).
fof(f2252,plain,
( sQ75_spl
| ~ sQ35_spl
| e1 != op(e3,e3) ),
inference(forward_demodulation,[status(thm)],[f340,f2200]) ).
fof(f2253,plain,
( sQ74_spl
| ~ sQ45_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2146,f291,f372,f505]) ).
fof(f2254,plain,
( sQ72_spl
| ~ sQ56_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1346,f226,f408,f497]) ).
fof(f2279,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1113,f388,f401]) ).
fof(f2283,plain,
( ~ sQ45_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f1989,f313,f372]) ).
fof(f2312,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1043,f378,f326]) ).
fof(f2315,plain,
( sQ90_spl
| ~ sQ36_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2151,f235,f343,f569]) ).
fof(f2322,plain,
( ~ sQ36_spl
| op(e0,e2) = e1 ),
inference(backward_demodulation,[status(thm)],[f344,f143]) ).
fof(f2327,plain,
( sQ87_spl
| ~ sQ36_spl
| e3 != op(op(e1,e0),e2) ),
inference(backward_demodulation,[status(thm)],[f1525,f559]) ).
fof(f2375,plain,
( ~ sQ34_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2002,f258,f336]) ).
fof(f2384,plain,
( ~ sQ34_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2018,f245,f336]) ).
fof(f2388,plain,
( ~ sQ34_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f1242,f284,f336]) ).
fof(f2399,plain,
( ~ sQ58_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f696,f375,f414]) ).
fof(f2413,plain,
( ~ sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2087,f239,f278]) ).
fof(f2414,plain,
( ~ sQ16_spl
| ~ sQ36_spl
| e2 = e0 ),
inference(forward_demodulation,[status(thm)],[f1525,f279]) ).
fof(f2415,plain,
( ~ sQ16_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2414,f127]) ).
fof(f2416,plain,
( ~ sQ16_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2466,plain,
( sQ79_spl
| ~ sQ19_spl
| e1 != op(op(e0,e3),e1) ),
inference(backward_demodulation,[status(thm)],[f1753,f527]) ).
fof(f2477,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1756,f274,f287,f627]) ).
fof(f2478,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1771,f261,f287,f627]) ).
fof(f2563,plain,
( ~ sQ106_spl
| ~ sQ50_spl
| op(e0,e2) = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f389,f636]) ).
fof(f2564,plain,
( ~ sQ106_spl
| ~ sQ50_spl
| ~ sQ44_spl
| e3 = op(e3,e0) ),
inference(forward_demodulation,[status(thm)],[f1226,f2563]) ).
fof(f2565,plain,
( ~ sQ106_spl
| ~ sQ50_spl
| ~ sQ44_spl
| e3 = e2 ),
inference(forward_demodulation,[status(thm)],[f389,f2564]) ).
fof(f2566,plain,
( ~ sQ106_spl
| ~ sQ50_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2565,f131]) ).
fof(f2567,plain,
( ~ sQ106_spl
| ~ sQ50_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2566]) ).
fof(f2689,plain,
( sQ79_spl
| ~ sQ19_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f1753,f2466]) ).
fof(f2690,plain,
( sQ79_spl
| ~ sQ19_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f295,f2689]) ).
fof(f2691,plain,
( sQ79_spl
| ~ sQ19_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2690]) ).
fof(f2692,plain,
( sQ79_spl
| ~ sQ19_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2722,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| op(e1,e2) = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f246,f606]) ).
fof(f2723,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| ~ sQ33_spl
| e0 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f1968,f2722]) ).
fof(f2724,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| ~ sQ33_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f246,f2723]) ).
fof(f2725,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2724,f127]) ).
fof(f2726,plain,
( ~ sQ99_spl
| ~ sQ6_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2732,plain,
( ~ sQ94_spl
| ~ sQ44_spl
| op(e2,e3) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f1226,f585]) ).
fof(f2733,plain,
( ~ sQ94_spl
| ~ sQ44_spl
| e0 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f370,f2732]) ).
fof(f2734,plain,
( ~ sQ94_spl
| ~ sQ44_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f1226,f2733]) ).
fof(f2735,plain,
( ~ sQ94_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f128]) ).
fof(f2736,plain,
( ~ sQ94_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2744,plain,
( sQ75_spl
| ~ sQ35_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2252,f424,f339,f509]) ).
fof(f2745,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| op(e3,e2) = e2 ),
inference(backward_demodulation,[status(thm)],[f2746,f1447]) ).
fof(f2746,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| e2 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f1447,f470]) ).
fof(f2754,plain,
( sQ87_spl
| ~ sQ36_spl
| e3 != op(e2,e2) ),
inference(backward_demodulation,[status(thm)],[f1525,f2327]) ).
fof(f2758,plain,
( sQ69_spl
| ~ sQ36_spl
| e0 != op(e0,e0) ),
inference(forward_demodulation,[status(thm)],[f344,f1515]) ).
fof(f2759,plain,
( sQ69_spl
| ~ sQ36_spl
| ~ sQ0_spl
| e0 != e0 ),
inference(forward_demodulation,[status(thm)],[f790,f2758]) ).
fof(f2760,plain,
( sQ69_spl
| ~ sQ36_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2759]) ).
fof(f2761,plain,
( sQ69_spl
| ~ sQ36_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2760]) ).
fof(f2862,plain,
( sQ76_spl
| ~ sQ7_spl
| e1 != op(e1,op(e3,e0)) ),
inference(forward_demodulation,[status(thm)],[f976,f515]) ).
fof(f2863,plain,
( sQ76_spl
| ~ sQ7_spl
| e1 != op(e1,e1) ),
inference(forward_demodulation,[status(thm)],[f976,f2862]) ).
fof(f2864,plain,
( sQ76_spl
| ~ sQ7_spl
| ~ sQ21_spl
| e1 != e1 ),
inference(forward_demodulation,[status(thm)],[f295,f2863]) ).
fof(f2865,plain,
( sQ76_spl
| ~ sQ7_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2864]) ).
fof(f2866,plain,
( sQ76_spl
| ~ sQ7_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2865]) ).
fof(f2882,plain,
( sQ78_spl
| ~ sQ56_spl
| e1 != op(e0,e0) ),
inference(backward_demodulation,[status(thm)],[f409,f2234]) ).
fof(f3041,plain,
( ~ sQ66_spl
| ~ sQ7_spl
| op(e3,e0) = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f975,f474]) ).
fof(f3042,plain,
( ~ sQ66_spl
| ~ sQ7_spl
| e1 = op(e1,e3) ),
inference(forward_demodulation,[status(thm)],[f976,f3041]) ).
fof(f3043,plain,
( ~ sQ66_spl
| ~ sQ7_spl
| e1 = e0 ),
inference(forward_demodulation,[status(thm)],[f975,f3042]) ).
fof(f3044,plain,
( ~ sQ66_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3043,f126]) ).
fof(f3045,plain,
( ~ sQ66_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3044]) ).
fof(f3046,plain,
( ~ sQ36_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2157,f232,f343]) ).
fof(f3048,plain,
( sQ87_spl
| ~ sQ36_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2754,f365,f343,f557]) ).
fof(f3058,plain,
( ~ sQ35_spl
| op(e3,e2) = e0 ),
inference(forward_demodulation,[status(thm)],[f340,f142]) ).
fof(f3070,plain,
( ~ sQ49_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f1572,f317,f385]) ).
fof(f3078,plain,
( ~ sQ49_spl
| op(e1,e3) = e0 ),
inference(forward_demodulation,[status(thm)],[f386,f146]) ).
fof(f3085,plain,
( ~ sQ49_spl
| op(e0,e1) = e3 ),
inference(forward_demodulation,[status(thm)],[f3078,f141]) ).
fof(f3094,plain,
( sQ7_spl
| ~ sQ49_spl
| e3 != e3 ),
inference(forward_demodulation,[status(thm)],[f3085,f250]) ).
fof(f3095,plain,
( sQ7_spl
| ~ sQ49_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3094]) ).
fof(f3096,plain,
( sQ7_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3095]) ).
fof(f3124,plain,
( ~ sQ35_spl
| op(e0,e3) = e2 ),
inference(forward_demodulation,[status(thm)],[f3058,f148]) ).
fof(f3140,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| op(e1,e3) = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f3085,f606]) ).
fof(f3141,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| e0 = op(e0,e1) ),
inference(forward_demodulation,[status(thm)],[f3078,f3140]) ).
fof(f3142,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| e0 = e3 ),
inference(forward_demodulation,[status(thm)],[f3085,f3141]) ).
fof(f3143,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3142,f128]) ).
fof(f3144,plain,
( ~ sQ99_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3143]) ).
fof(f3147,plain,
( sQ78_spl
| ~ sQ56_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2882,f229,f408,f521]) ).
fof(f3170,plain,
( ~ sQ65_spl
| ~ sQ14_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f2745,f414,f271,f469]) ).
fof(f3177,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| op(e3,e2) = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f3124,f470]) ).
fof(f3178,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| e0 = op(e0,e3) ),
inference(forward_demodulation,[status(thm)],[f3058,f3177]) ).
fof(f3179,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| e0 = e2 ),
inference(forward_demodulation,[status(thm)],[f3124,f3178]) ).
fof(f3180,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3179,f127]) ).
fof(f3181,plain,
( ~ sQ65_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3180]) ).
fof(f3362,plain,
( ~ sQ94_spl
| ~ sQ36_spl
| op(e2,e1) = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f2322,f585]) ).
fof(f3363,plain,
( ~ sQ94_spl
| ~ sQ36_spl
| e0 = op(e0,e2) ),
inference(forward_demodulation,[status(thm)],[f344,f3362]) ).
fof(f3364,plain,
( ~ sQ94_spl
| ~ sQ36_spl
| e0 = e1 ),
inference(forward_demodulation,[status(thm)],[f2322,f3363]) ).
fof(f3365,plain,
( ~ sQ94_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3364,f126]) ).
fof(f3366,plain,
( ~ sQ94_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3365]) ).
fof(f3367,plain,
$false,
inference(sat_refutation,[status(thm)],[f238,f251,f264,f277,f290,f316,f329,f342,f355,f381,f394,f407,f420,f435,f436,f437,f438,f439,f440,f443,f445,f446,f447,f448,f449,f450,f451,f452,f453,f454,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f472,f476,f480,f488,f500,f504,f508,f512,f516,f520,f524,f532,f536,f540,f544,f548,f552,f556,f560,f564,f568,f572,f576,f580,f587,f591,f595,f599,f608,f612,f616,f620,f621,f626,f630,f634,f638,f671,f707,f712,f715,f718,f742,f743,f753,f757,f760,f763,f785,f833,f836,f873,f875,f883,f889,f922,f933,f938,f954,f1022,f1025,f1031,f1062,f1099,f1106,f1118,f1127,f1132,f1133,f1169,f1170,f1182,f1218,f1221,f1230,f1231,f1232,f1233,f1235,f1275,f1289,f1350,f1372,f1374,f1375,f1380,f1381,f1385,f1389,f1412,f1413,f1415,f1421,f1427,f1428,f1457,f1502,f1512,f1520,f1527,f1531,f1554,f1559,f1562,f1581,f1592,f1596,f1612,f1622,f1626,f1628,f1636,f1638,f1646,f1649,f1650,f1667,f1668,f1669,f1704,f1708,f1742,f1755,f1762,f1763,f1772,f1773,f1778,f1786,f1790,f1791,f1792,f1798,f1804,f1811,f1829,f1836,f1848,f1851,f1852,f1853,f1854,f1855,f1895,f1898,f1914,f1935,f1939,f1942,f1951,f1971,f1974,f1977,f1981,f1995,f2145,f2150,f2167,f2168,f2220,f2253,f2254,f2279,f2283,f2312,f2315,f2375,f2384,f2388,f2399,f2413,f2416,f2477,f2478,f2567,f2692,f2726,f2736,f2744,f2761,f2866,f3045,f3046,f3048,f3070,f3096,f3144,f3147,f3170,f3181,f3366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG130+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 13:01:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.44 % Refutation found
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.47 % Elapsed time: 0.079453 seconds
% 0.11/0.47 % CPU time: 0.388217 seconds
% 0.11/0.47 % Total memory used: 15.241 MB
% 0.11/0.47 % Net memory used: 15.012 MB
%------------------------------------------------------------------------------