%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG137+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 09:13:21 AM UTC 2026
% Result : Unsatisfiable 6.29s 1.72s
% Output : Refutation 7.82s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f8,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e3 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
~ ( e0 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e1 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f11,axiom,
~ ( e0 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e1 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f13,axiom,
~ ( e1 = op(op(e0,e0),e0)
& e3 = op(e0,e0)
& e2 = op(e0,op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e3 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
~ ( e1 = op(op(e2,e2),e2)
& e3 = op(e2,e2)
& e0 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f17,axiom,
~ ( e1 = op(op(e3,e3),e3)
& e2 = op(e3,e3)
& e0 = op(e3,op(op(e3,e3),e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f19,axiom,
~ ( e2 = op(op(e0,e0),e0)
& e3 = op(e0,e0)
& e1 = op(e0,op(op(e0,e0),e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e3 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
~ ( e2 = op(op(e1,e1),e1)
& e3 = op(e1,e1)
& e0 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f26,axiom,
~ ( e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1)
& e2 = op(e1,op(op(e1,e1),e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e0 = op(e2,e2)
& e1 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f29,axiom,
~ ( e3 = op(op(e2,e2),e2)
& e1 = op(e2,e2)
& e0 = op(e2,op(op(e2,e2),e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f32,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f35,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f37,plain,
( e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e2 != op(e0,op(op(e0,e0),e0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f38,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f39,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f41,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),e3)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f43,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e1 != op(e0,op(op(e0,e0),e0)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f44,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f45,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f50,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f52,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f53,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(op(e2,e2),e2)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,definition,
( ( op(op(e0,e3),op(e0,e3)) = e0
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f57,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0
& op(op(e1,e0),op(e1,e0)) = e1
& op(op(e2,e0),op(e2,e0)) = e2
& op(op(e3,e0),op(e3,e0)) = e3 )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f5,f56,f55,f54]) ).
fof(f58,plain,
( ( op(op(e0,e1),op(e0,e1)) = e0
& op(op(e1,e1),op(e1,e1)) = e1
& op(op(e2,e1),op(e2,e1)) = e2
& op(op(e3,e1),op(e3,e1)) = e3 )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f59,plain,
( ( op(op(e0,e2),op(e0,e2)) = e0
& op(op(e1,e2),op(e1,e2)) = e1
& op(op(e2,e2),op(e2,e2)) = e2
& op(op(e3,e2),op(e3,e2)) = e3 )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f60,plain,
( ( op(op(e0,e3),op(e0,e3)) = e0
& op(op(e1,e3),op(e1,e3)) = e1
& op(op(e2,e3),op(e2,e3)) = e2
& op(op(e3,e3),op(e3,e3)) = e3 )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f62,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e0 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f67,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f68,plain,
( e0 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e0 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f70,plain,
( e0 = op(e1,e2)
| e1 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f71,plain,
( e0 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f73,plain,
( e0 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f75,plain,
( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f76,plain,
( e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f1]) ).
fof(f77,plain,
( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e2,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
( e3 = op(e3,e0)
| e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
( e2 = op(e0,e3)
| e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f81,plain,
( e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
( e3 = op(e2,e0)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e2 = op(e0,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
( e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
( e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e2)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
( e1 = op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f98,plain,
( e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f99,plain,
( e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
( op(e0,e0) = e2
| e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f104,plain,
( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
( op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e2,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
( op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
( e0 = op(e0,e0)
| e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
( e0 = op(e0,e0)
| e0 = op(e0,e1)
| e0 = op(e0,e2)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f134,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f135,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f144,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f145,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f147,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f152,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f153,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f154,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f155,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
( e3 = op(op(e3,e1),op(e3,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f164,plain,
( e2 = op(op(e2,e1),op(e2,e1))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f167,plain,
( e3 = op(op(e3,e2),op(e3,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f168,plain,
( e2 = op(op(e2,e2),op(e2,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f169,plain,
( e1 = op(op(e1,e2),op(e1,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f170,plain,
( e0 = op(op(e0,e2),op(e0,e2))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f171,plain,
( e3 = op(op(e3,e3),op(e3,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f172,plain,
( e2 = op(op(e2,e3),op(e2,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f173,plain,
( e1 = op(op(e1,e3),op(e1,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f174,plain,
( e0 = op(op(e0,e3),op(e0,e3))
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f175,plain,
( e3 = op(op(e3,e0),op(e3,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f176,plain,
( e2 = op(op(e2,e0),op(e2,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f177,plain,
( e1 = op(op(e1,e0),op(e1,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f178,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f181,plain,
( e0 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f182,plain,
( e0 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f184,plain,
( e0 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f186,plain,
( e1 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e2 != op(e0,op(op(e0,e0),e0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f187,plain,
( e1 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e3 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f188,plain,
( e1 != op(op(e2,e2),e2)
| e3 != op(e2,e2)
| e0 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f190,plain,
( e1 != op(op(e3,e3),e3)
| e2 != op(e3,e3)
| e0 != op(e3,op(op(e3,e3),e3)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f192,plain,
( e2 != op(op(e0,e0),e0)
| op(e0,e0) != e3
| e1 != op(e0,op(op(e0,e0),e0)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f193,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f194,plain,
( e2 != op(op(e1,e1),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f199,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(op(e1,e1),e1)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f201,plain,
( e3 != op(op(e2,e2),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f202,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(op(e2,e2),e2)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f204,definition,
( spl3_1
<=> e0 = op(e2,op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f205,plain,
( e0 = op(e2,op(op(e2,e2),e2))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( e0 != op(e2,op(op(e2,e2),e2))
| spl3_1 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f208,definition,
( spl3_2
<=> e1 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f209,plain,
( e1 = op(e2,e2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( e1 != op(e2,e2)
| spl3_2 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f212,definition,
( spl3_3
<=> e3 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f213,plain,
( e3 = op(op(e2,e2),e2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( e3 != op(op(e2,e2),e2)
| spl3_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f215,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f202,f212,f208,f204]) ).
fof(f217,definition,
( spl3_4
<=> e1 = op(e2,op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f218,plain,
( e1 = op(e2,op(op(e2,e2),e2))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( e1 != op(e2,op(op(e2,e2),e2))
| spl3_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl3_5
<=> e0 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f222,plain,
( e0 = op(e2,e2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( ~ spl3_4
| ~ spl3_5
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f201,f212,f221,f217]) ).
fof(f226,definition,
( spl3_6
<=> e0 = op(e1,op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f228,plain,
( e0 != op(e1,op(op(e1,e1),e1))
| spl3_6 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl3_7
<=> e2 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f231,plain,
( e2 = op(e1,e1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( e2 != op(e1,e1)
| spl3_7 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl3_8
<=> e3 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f235,plain,
( e3 = op(op(e1,e1),e1)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( e3 != op(op(e1,e1),e1)
| spl3_8 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f239,definition,
( spl3_9
<=> e2 = op(e1,op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f241,plain,
( e2 != op(e1,op(op(e1,e1),e1))
| spl3_9 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl3_10
<=> e0 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f244,plain,
( e0 = op(e1,e1)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( e0 != op(e1,e1)
| spl3_10 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,plain,
( ~ spl3_9
| ~ spl3_10
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f199,f234,f243,f239]) ).
fof(f248,definition,
( spl3_11
<=> e1 = op(e0,op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f250,plain,
( e1 != op(e0,op(op(e0,e0),e0))
| spl3_11 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl3_12
<=> op(e0,e0) = e2 ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
fof(f253,plain,
( op(e0,e0) = e2
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f254,plain,
( op(e0,e0) != e2
| spl3_12 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl3_13
<=> e3 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl3_13])],[avatar_definition]) ).
fof(f257,plain,
( e3 = op(op(e0,e0),e0)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( e3 != op(op(e0,e0),e0)
| spl3_13 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f261,definition,
( spl3_14
<=> e2 = op(e0,op(op(e0,e0),e0)) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f263,plain,
( e2 != op(e0,op(op(e0,e0),e0))
| spl3_14 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl3_15
<=> op(e0,e0) = e1 ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f266,plain,
( op(e0,e0) = e1
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( op(e0,e0) != e1
| spl3_15 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f270,definition,
( spl3_16
<=> e0 = op(e3,op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f272,plain,
( e0 != op(e3,op(op(e3,e3),e3))
| spl3_16 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f274,definition,
( spl3_17
<=> e1 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f275,plain,
( e1 = op(e3,e3)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( e1 != op(e3,e3)
| spl3_17 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f283,definition,
( spl3_19
<=> e1 = op(e3,op(op(e3,e3),e3)) ),
introduced(definition,[new_symbols(definition,[spl3_19])],[avatar_definition]) ).
fof(f285,plain,
( e1 != op(e3,op(op(e3,e3),e3))
| spl3_19 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f287,definition,
( spl3_20
<=> e0 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_20])],[avatar_definition]) ).
fof(f288,plain,
( e0 = op(e3,e3)
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( e0 != op(e3,e3)
| spl3_20 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f292,definition,
( spl3_21
<=> e3 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_21])],[avatar_definition]) ).
fof(f293,plain,
( e3 = op(e1,e1)
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f294,plain,
( e3 != op(e1,e1)
| spl3_21 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl3_22
<=> e2 = op(op(e1,e1),e1) ),
introduced(definition,[new_symbols(definition,[spl3_22])],[avatar_definition]) ).
fof(f297,plain,
( e2 = op(op(e1,e1),e1)
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( e2 != op(op(e1,e1),e1)
| spl3_22 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f299,plain,
( ~ spl3_6
| ~ spl3_21
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f194,f296,f292,f226]) ).
fof(f301,definition,
( spl3_23
<=> e3 = op(e1,op(op(e1,e1),e1)) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f303,plain,
( e3 != op(e1,op(op(e1,e1),e1))
| spl3_23 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,plain,
( ~ spl3_23
| ~ spl3_10
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f193,f296,f243,f301]) ).
fof(f306,definition,
( spl3_24
<=> op(e0,e0) = e3 ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f307,plain,
( op(e0,e0) = e3
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( op(e0,e0) != e3
| spl3_24 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl3_25
<=> e2 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl3_25])],[avatar_definition]) ).
fof(f311,plain,
( e2 = op(op(e0,e0),e0)
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f312,plain,
( e2 != op(op(e0,e0),e0)
| spl3_25 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f313,plain,
( ~ spl3_11
| ~ spl3_24
| ~ spl3_25 ),
inference(avatar_split_clause,[],[f192,f310,f306,f248]) ).
fof(f320,definition,
( spl3_27
<=> e2 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_27])],[avatar_definition]) ).
fof(f321,plain,
( e2 = op(e3,e3)
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( e2 != op(e3,e3)
| spl3_27 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl3_28
<=> e1 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl3_28])],[avatar_definition]) ).
fof(f325,plain,
( e1 = op(op(e3,e3),e3)
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f326,plain,
( e1 != op(op(e3,e3),e3)
| spl3_28 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,plain,
( ~ spl3_16
| ~ spl3_27
| ~ spl3_28 ),
inference(avatar_split_clause,[],[f190,f324,f320,f270]) ).
fof(f334,definition,
( spl3_30
<=> e3 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_30])],[avatar_definition]) ).
fof(f335,plain,
( e3 = op(e2,e2)
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( e3 != op(e2,e2)
| spl3_30 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f338,definition,
( spl3_31
<=> e1 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl3_31])],[avatar_definition]) ).
fof(f339,plain,
( e1 = op(op(e2,e2),e2)
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( e1 != op(op(e2,e2),e2)
| spl3_31 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f341,plain,
( ~ spl3_1
| ~ spl3_30
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f188,f338,f334,f204]) ).
fof(f343,definition,
( spl3_32
<=> e3 = op(e2,op(op(e2,e2),e2)) ),
introduced(definition,[new_symbols(definition,[spl3_32])],[avatar_definition]) ).
fof(f345,plain,
( e3 != op(e2,op(op(e2,e2),e2))
| spl3_32 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f346,plain,
( ~ spl3_32
| ~ spl3_5
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f187,f338,f221,f343]) ).
fof(f348,definition,
( spl3_33
<=> e1 = op(op(e0,e0),e0) ),
introduced(definition,[new_symbols(definition,[spl3_33])],[avatar_definition]) ).
fof(f349,plain,
( e1 = op(op(e0,e0),e0)
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( e1 != op(op(e0,e0),e0)
| spl3_33 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f351,plain,
( ~ spl3_14
| ~ spl3_24
| ~ spl3_33 ),
inference(avatar_split_clause,[],[f186,f348,f306,f261]) ).
fof(f354,definition,
( spl3_34
<=> e0 = op(op(e3,e3),e3) ),
introduced(definition,[new_symbols(definition,[spl3_34])],[avatar_definition]) ).
fof(f355,plain,
( e0 = op(op(e3,e3),e3)
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( e0 != op(op(e3,e3),e3)
| spl3_34 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,plain,
( ~ spl3_19
| ~ spl3_27
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f184,f354,f320,f283]) ).
fof(f360,definition,
( spl3_35
<=> e0 = op(op(e2,e2),e2) ),
introduced(definition,[new_symbols(definition,[spl3_35])],[avatar_definition]) ).
fof(f361,plain,
( e0 = op(op(e2,e2),e2)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( e0 != op(op(e2,e2),e2)
| spl3_35 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( ~ spl3_4
| ~ spl3_30
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f182,f360,f334,f217]) ).
fof(f364,plain,
( ~ spl3_32
| ~ spl3_2
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f181,f360,f208,f343]) ).
fof(f372,definition,
( spl3_37
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl3_37])],[avatar_definition]) ).
fof(f376,definition,
( spl3_38
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl3_38])],[avatar_definition]) ).
fof(f380,definition,
( spl3_39
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl3_39])],[avatar_definition]) ).
fof(f384,definition,
( spl3_40
<=> e3 = op(op(e3,e0),op(e3,e0)) ),
introduced(definition,[new_symbols(definition,[spl3_40])],[avatar_definition]) ).
fof(f386,plain,
( e3 = op(op(e3,e0),op(e3,e0))
| ~ spl3_40 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f387,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_40 ),
inference(avatar_split_clause,[],[f175,f384,f380,f376,f372]) ).
fof(f389,definition,
( spl3_41
<=> e2 = op(op(e2,e0),op(e2,e0)) ),
introduced(definition,[new_symbols(definition,[spl3_41])],[avatar_definition]) ).
fof(f391,plain,
( e2 = op(op(e2,e0),op(e2,e0))
| ~ spl3_41 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_41 ),
inference(avatar_split_clause,[],[f176,f389,f380,f376,f372]) ).
fof(f394,definition,
( spl3_42
<=> e1 = op(op(e1,e0),op(e1,e0)) ),
introduced(definition,[new_symbols(definition,[spl3_42])],[avatar_definition]) ).
fof(f396,plain,
( e1 = op(op(e1,e0),op(e1,e0))
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f397,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_42 ),
inference(avatar_split_clause,[],[f177,f394,f380,f376,f372]) ).
fof(f399,definition,
( spl3_43
<=> e0 = op(op(e0,e0),op(e0,e0)) ),
introduced(definition,[new_symbols(definition,[spl3_43])],[avatar_definition]) ).
fof(f401,plain,
( e0 = op(op(e0,e0),op(e0,e0))
| ~ spl3_43 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f402,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_43 ),
inference(avatar_split_clause,[],[f178,f399,f380,f376,f372]) ).
fof(f404,definition,
( spl3_44
<=> e3 = op(op(e3,e3),op(e3,e3)) ),
introduced(definition,[new_symbols(definition,[spl3_44])],[avatar_definition]) ).
fof(f406,plain,
( e3 = op(op(e3,e3),op(e3,e3))
| ~ spl3_44 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f407,plain,
( ~ spl3_37
| spl3_44 ),
inference(avatar_split_clause,[],[f171,f404,f372]) ).
fof(f409,definition,
( spl3_45
<=> e2 = op(op(e2,e3),op(e2,e3)) ),
introduced(definition,[new_symbols(definition,[spl3_45])],[avatar_definition]) ).
fof(f411,plain,
( e2 = op(op(e2,e3),op(e2,e3))
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f412,plain,
( ~ spl3_37
| spl3_45 ),
inference(avatar_split_clause,[],[f172,f409,f372]) ).
fof(f414,definition,
( spl3_46
<=> e1 = op(op(e1,e3),op(e1,e3)) ),
introduced(definition,[new_symbols(definition,[spl3_46])],[avatar_definition]) ).
fof(f416,plain,
( e1 = op(op(e1,e3),op(e1,e3))
| ~ spl3_46 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,plain,
( ~ spl3_37
| spl3_46 ),
inference(avatar_split_clause,[],[f173,f414,f372]) ).
fof(f419,definition,
( spl3_47
<=> e0 = op(op(e0,e3),op(e0,e3)) ),
introduced(definition,[new_symbols(definition,[spl3_47])],[avatar_definition]) ).
fof(f421,plain,
( e0 = op(op(e0,e3),op(e0,e3))
| ~ spl3_47 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,plain,
( ~ spl3_37
| spl3_47 ),
inference(avatar_split_clause,[],[f174,f419,f372]) ).
fof(f424,definition,
( spl3_48
<=> e3 = op(op(e3,e2),op(e3,e2)) ),
introduced(definition,[new_symbols(definition,[spl3_48])],[avatar_definition]) ).
fof(f426,plain,
( e3 = op(op(e3,e2),op(e3,e2))
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,plain,
( ~ spl3_38
| spl3_48 ),
inference(avatar_split_clause,[],[f167,f424,f376]) ).
fof(f429,definition,
( spl3_49
<=> e2 = op(op(e2,e2),op(e2,e2)) ),
introduced(definition,[new_symbols(definition,[spl3_49])],[avatar_definition]) ).
fof(f431,plain,
( e2 = op(op(e2,e2),op(e2,e2))
| ~ spl3_49 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,plain,
( ~ spl3_38
| spl3_49 ),
inference(avatar_split_clause,[],[f168,f429,f376]) ).
fof(f434,definition,
( spl3_50
<=> e1 = op(op(e1,e2),op(e1,e2)) ),
introduced(definition,[new_symbols(definition,[spl3_50])],[avatar_definition]) ).
fof(f436,plain,
( e1 = op(op(e1,e2),op(e1,e2))
| ~ spl3_50 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f437,plain,
( ~ spl3_38
| spl3_50 ),
inference(avatar_split_clause,[],[f169,f434,f376]) ).
fof(f439,definition,
( spl3_51
<=> e0 = op(op(e0,e2),op(e0,e2)) ),
introduced(definition,[new_symbols(definition,[spl3_51])],[avatar_definition]) ).
fof(f441,plain,
( e0 = op(op(e0,e2),op(e0,e2))
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,plain,
( ~ spl3_38
| spl3_51 ),
inference(avatar_split_clause,[],[f170,f439,f376]) ).
fof(f444,definition,
( spl3_52
<=> e3 = op(op(e3,e1),op(e3,e1)) ),
introduced(definition,[new_symbols(definition,[spl3_52])],[avatar_definition]) ).
fof(f446,plain,
( e3 = op(op(e3,e1),op(e3,e1))
| ~ spl3_52 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( ~ spl3_39
| spl3_52 ),
inference(avatar_split_clause,[],[f163,f444,f380]) ).
fof(f449,definition,
( spl3_53
<=> e2 = op(op(e2,e1),op(e2,e1)) ),
introduced(definition,[new_symbols(definition,[spl3_53])],[avatar_definition]) ).
fof(f451,plain,
( e2 = op(op(e2,e1),op(e2,e1))
| ~ spl3_53 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,plain,
( ~ spl3_39
| spl3_53 ),
inference(avatar_split_clause,[],[f164,f449,f380]) ).
fof(f464,definition,
( spl3_56
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl3_56])],[avatar_definition]) ).
fof(f465,plain,
( e3 != op(e3,e3)
| spl3_56 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( e3 = op(e3,e3)
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f468,definition,
( spl3_57
<=> e3 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl3_57])],[avatar_definition]) ).
fof(f470,plain,
( e3 = op(e2,e3)
| ~ spl3_57 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f472,definition,
( spl3_58
<=> e3 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl3_58])],[avatar_definition]) ).
fof(f474,plain,
( e3 = op(e1,e3)
| ~ spl3_58 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f476,definition,
( spl3_59
<=> e3 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl3_59])],[avatar_definition]) ).
fof(f478,plain,
( e3 = op(e0,e3)
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl3_56
| spl3_57
| spl3_58
| spl3_59 ),
inference(avatar_split_clause,[],[f77,f476,f472,f468,f464]) ).
fof(f481,definition,
( spl3_60
<=> e3 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl3_60])],[avatar_definition]) ).
fof(f483,plain,
( e3 = op(e3,e2)
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl3_61
<=> e3 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl3_61])],[avatar_definition]) ).
fof(f487,plain,
( e3 = op(e3,e1)
| ~ spl3_61 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f489,definition,
( spl3_62
<=> e3 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl3_62])],[avatar_definition]) ).
fof(f490,plain,
( e3 != op(e3,e0)
| spl3_62 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( e3 = op(e3,e0)
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f492,plain,
( spl3_56
| spl3_60
| spl3_61
| spl3_62 ),
inference(avatar_split_clause,[],[f78,f489,f485,f481,f464]) ).
fof(f494,definition,
( spl3_63
<=> e2 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl3_63])],[avatar_definition]) ).
fof(f496,plain,
( e2 = op(e2,e3)
| ~ spl3_63 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f498,definition,
( spl3_64
<=> e2 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl3_64])],[avatar_definition]) ).
fof(f500,plain,
( e2 = op(e1,e3)
| ~ spl3_64 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl3_65
<=> e2 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl3_65])],[avatar_definition]) ).
fof(f504,plain,
( e2 = op(e0,e3)
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( spl3_27
| spl3_63
| spl3_64
| spl3_65 ),
inference(avatar_split_clause,[],[f79,f502,f498,f494,f320]) ).
fof(f507,definition,
( spl3_66
<=> e2 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl3_66])],[avatar_definition]) ).
fof(f509,plain,
( e2 = op(e3,e2)
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl3_67
<=> e2 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl3_67])],[avatar_definition]) ).
fof(f513,plain,
( e2 = op(e3,e1)
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f515,definition,
( spl3_68
<=> e2 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl3_68])],[avatar_definition]) ).
fof(f517,plain,
( e2 = op(e3,e0)
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f520,definition,
( spl3_69
<=> e1 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl3_69])],[avatar_definition]) ).
fof(f522,plain,
( e1 = op(e2,e3)
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f524,definition,
( spl3_70
<=> e1 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl3_70])],[avatar_definition]) ).
fof(f526,plain,
( e1 = op(e1,e3)
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl3_71
<=> e1 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl3_71])],[avatar_definition]) ).
fof(f530,plain,
( e1 = op(e0,e3)
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,plain,
( spl3_17
| spl3_69
| spl3_70
| spl3_71 ),
inference(avatar_split_clause,[],[f81,f528,f524,f520,f274]) ).
fof(f533,definition,
( spl3_72
<=> e1 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl3_72])],[avatar_definition]) ).
fof(f535,plain,
( e1 = op(e3,e2)
| ~ spl3_72 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f537,definition,
( spl3_73
<=> e1 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl3_73])],[avatar_definition]) ).
fof(f539,plain,
( e1 = op(e3,e1)
| ~ spl3_73 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,definition,
( spl3_74
<=> e1 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl3_74])],[avatar_definition]) ).
fof(f543,plain,
( e1 = op(e3,e0)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f544,plain,
( spl3_17
| spl3_72
| spl3_73
| spl3_74 ),
inference(avatar_split_clause,[],[f82,f541,f537,f533,f274]) ).
fof(f546,definition,
( spl3_75
<=> e0 = op(e2,e3) ),
introduced(definition,[new_symbols(definition,[spl3_75])],[avatar_definition]) ).
fof(f548,plain,
( e0 = op(e2,e3)
| ~ spl3_75 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f550,definition,
( spl3_76
<=> e0 = op(e1,e3) ),
introduced(definition,[new_symbols(definition,[spl3_76])],[avatar_definition]) ).
fof(f552,plain,
( e0 = op(e1,e3)
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f554,definition,
( spl3_77
<=> e0 = op(e0,e3) ),
introduced(definition,[new_symbols(definition,[spl3_77])],[avatar_definition]) ).
fof(f556,plain,
( e0 = op(e0,e3)
| ~ spl3_77 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f559,definition,
( spl3_78
<=> e0 = op(e3,e2) ),
introduced(definition,[new_symbols(definition,[spl3_78])],[avatar_definition]) ).
fof(f561,plain,
( e0 = op(e3,e2)
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f563,definition,
( spl3_79
<=> e0 = op(e3,e1) ),
introduced(definition,[new_symbols(definition,[spl3_79])],[avatar_definition]) ).
fof(f565,plain,
( e0 = op(e3,e1)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl3_80
<=> e0 = op(e3,e0) ),
introduced(definition,[new_symbols(definition,[spl3_80])],[avatar_definition]) ).
fof(f569,plain,
( e0 = op(e3,e0)
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f572,definition,
( spl3_81
<=> e3 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl3_81])],[avatar_definition]) ).
fof(f574,plain,
( e3 = op(e1,e2)
| ~ spl3_81 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f576,definition,
( spl3_82
<=> e3 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl3_82])],[avatar_definition]) ).
fof(f577,plain,
( e3 != op(e0,e2)
| spl3_82 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f578,plain,
( e3 = op(e0,e2)
| ~ spl3_82 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f579,plain,
( spl3_60
| spl3_30
| spl3_81
| spl3_82 ),
inference(avatar_split_clause,[],[f85,f576,f572,f334,f481]) ).
fof(f581,definition,
( spl3_83
<=> e3 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl3_83])],[avatar_definition]) ).
fof(f583,plain,
( e3 = op(e2,e1)
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f585,definition,
( spl3_84
<=> e3 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl3_84])],[avatar_definition]) ).
fof(f587,plain,
( e3 = op(e2,e0)
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f588,plain,
( spl3_57
| spl3_30
| spl3_83
| spl3_84 ),
inference(avatar_split_clause,[],[f86,f585,f581,f334,f468]) ).
fof(f590,definition,
( spl3_85
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl3_85])],[avatar_definition]) ).
fof(f591,plain,
( e2 != op(e2,e2)
| spl3_85 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f592,plain,
( e2 = op(e2,e2)
| ~ spl3_85 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f594,definition,
( spl3_86
<=> e2 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl3_86])],[avatar_definition]) ).
fof(f596,plain,
( e2 = op(e1,e2)
| ~ spl3_86 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl3_87
<=> e2 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl3_87])],[avatar_definition]) ).
fof(f600,plain,
( e2 = op(e0,e2)
| ~ spl3_87 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( spl3_66
| spl3_85
| spl3_86
| spl3_87 ),
inference(avatar_split_clause,[],[f87,f598,f594,f590,f507]) ).
fof(f603,definition,
( spl3_88
<=> e2 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl3_88])],[avatar_definition]) ).
fof(f605,plain,
( e2 = op(e2,e1)
| ~ spl3_88 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f607,definition,
( spl3_89
<=> e2 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl3_89])],[avatar_definition]) ).
fof(f609,plain,
( e2 = op(e2,e0)
| ~ spl3_89 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( spl3_63
| spl3_85
| spl3_88
| spl3_89 ),
inference(avatar_split_clause,[],[f88,f607,f603,f590,f494]) ).
fof(f612,definition,
( spl3_90
<=> e1 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl3_90])],[avatar_definition]) ).
fof(f614,plain,
( e1 = op(e1,e2)
| ~ spl3_90 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f616,definition,
( spl3_91
<=> e1 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl3_91])],[avatar_definition]) ).
fof(f618,plain,
( e1 = op(e0,e2)
| ~ spl3_91 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f619,plain,
( spl3_72
| spl3_2
| spl3_90
| spl3_91 ),
inference(avatar_split_clause,[],[f89,f616,f612,f208,f533]) ).
fof(f621,definition,
( spl3_92
<=> e1 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl3_92])],[avatar_definition]) ).
fof(f623,plain,
( e1 = op(e2,e1)
| ~ spl3_92 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,definition,
( spl3_93
<=> e1 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl3_93])],[avatar_definition]) ).
fof(f626,plain,
( e1 != op(e2,e0)
| spl3_93 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f627,plain,
( e1 = op(e2,e0)
| ~ spl3_93 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f628,plain,
( spl3_69
| spl3_2
| spl3_92
| spl3_93 ),
inference(avatar_split_clause,[],[f90,f625,f621,f208,f520]) ).
fof(f630,definition,
( spl3_94
<=> e0 = op(e1,e2) ),
introduced(definition,[new_symbols(definition,[spl3_94])],[avatar_definition]) ).
fof(f632,plain,
( e0 = op(e1,e2)
| ~ spl3_94 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl3_95
<=> e0 = op(e0,e2) ),
introduced(definition,[new_symbols(definition,[spl3_95])],[avatar_definition]) ).
fof(f639,definition,
( spl3_96
<=> e0 = op(e2,e1) ),
introduced(definition,[new_symbols(definition,[spl3_96])],[avatar_definition]) ).
fof(f640,plain,
( e0 != op(e2,e1)
| spl3_96 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( e0 = op(e2,e1)
| ~ spl3_96 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,definition,
( spl3_97
<=> e0 = op(e2,e0) ),
introduced(definition,[new_symbols(definition,[spl3_97])],[avatar_definition]) ).
fof(f645,plain,
( e0 = op(e2,e0)
| ~ spl3_97 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f646,plain,
( spl3_75
| spl3_5
| spl3_96
| spl3_97 ),
inference(avatar_split_clause,[],[f92,f643,f639,f221,f546]) ).
fof(f648,definition,
( spl3_98
<=> e3 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl3_98])],[avatar_definition]) ).
fof(f650,plain,
( e3 = op(e0,e1)
| ~ spl3_98 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( spl3_61
| spl3_83
| spl3_21
| spl3_98 ),
inference(avatar_split_clause,[],[f93,f648,f292,f581,f485]) ).
fof(f653,definition,
( spl3_99
<=> e3 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl3_99])],[avatar_definition]) ).
fof(f655,plain,
( e3 = op(e1,e0)
| ~ spl3_99 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f656,plain,
( spl3_58
| spl3_81
| spl3_21
| spl3_99 ),
inference(avatar_split_clause,[],[f94,f653,f292,f572,f472]) ).
fof(f658,definition,
( spl3_100
<=> e2 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl3_100])],[avatar_definition]) ).
fof(f660,plain,
( e2 = op(e0,e1)
| ~ spl3_100 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f661,plain,
( spl3_67
| spl3_88
| spl3_7
| spl3_100 ),
inference(avatar_split_clause,[],[f95,f658,f230,f603,f511]) ).
fof(f663,definition,
( spl3_101
<=> e2 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl3_101])],[avatar_definition]) ).
fof(f665,plain,
( e2 = op(e1,e0)
| ~ spl3_101 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f668,definition,
( spl3_102
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl3_102])],[avatar_definition]) ).
fof(f669,plain,
( e1 != op(e1,e1)
| spl3_102 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f670,plain,
( e1 = op(e1,e1)
| ~ spl3_102 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f672,definition,
( spl3_103
<=> e1 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl3_103])],[avatar_definition]) ).
fof(f674,plain,
( e1 = op(e0,e1)
| ~ spl3_103 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,plain,
( spl3_73
| spl3_92
| spl3_102
| spl3_103 ),
inference(avatar_split_clause,[],[f97,f672,f668,f621,f537]) ).
fof(f677,definition,
( spl3_104
<=> e1 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl3_104])],[avatar_definition]) ).
fof(f679,plain,
( e1 = op(e1,e0)
| ~ spl3_104 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f680,plain,
( spl3_70
| spl3_90
| spl3_102
| spl3_104 ),
inference(avatar_split_clause,[],[f98,f677,f668,f612,f524]) ).
fof(f682,definition,
( spl3_105
<=> e0 = op(e0,e1) ),
introduced(definition,[new_symbols(definition,[spl3_105])],[avatar_definition]) ).
fof(f684,plain,
( e0 = op(e0,e1)
| ~ spl3_105 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f685,plain,
( spl3_79
| spl3_96
| spl3_10
| spl3_105 ),
inference(avatar_split_clause,[],[f99,f682,f243,f639,f563]) ).
fof(f687,definition,
( spl3_106
<=> e0 = op(e1,e0) ),
introduced(definition,[new_symbols(definition,[spl3_106])],[avatar_definition]) ).
fof(f689,plain,
( e0 = op(e1,e0)
| ~ spl3_106 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f693,plain,
( spl3_68
| spl3_89
| spl3_101
| spl3_12 ),
inference(avatar_split_clause,[],[f103,f252,f663,f607,f515]) ).
fof(f694,plain,
( spl3_65
| spl3_87
| spl3_100
| spl3_12 ),
inference(avatar_split_clause,[],[f104,f252,f658,f598,f502]) ).
fof(f695,plain,
( spl3_74
| spl3_93
| spl3_104
| spl3_15 ),
inference(avatar_split_clause,[],[f105,f265,f677,f625,f541]) ).
fof(f696,plain,
( spl3_71
| spl3_91
| spl3_103
| spl3_15 ),
inference(avatar_split_clause,[],[f106,f265,f672,f616,f528]) ).
fof(f698,definition,
( spl3_107
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl3_107])],[avatar_definition]) ).
fof(f700,plain,
( e0 = op(e0,e0)
| ~ spl3_107 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f701,plain,
( spl3_80
| spl3_97
| spl3_106
| spl3_107 ),
inference(avatar_split_clause,[],[f107,f698,f687,f643,f567]) ).
fof(f702,plain,
( spl3_77
| spl3_95
| spl3_105
| spl3_107 ),
inference(avatar_split_clause,[],[f108,f698,f682,f634,f554]) ).
fof(f704,plain,
( spl3_60
| spl3_66
| spl3_72
| spl3_78 ),
inference(avatar_split_clause,[],[f62,f559,f533,f507,f481]) ).
fof(f705,plain,
( spl3_61
| spl3_67
| spl3_73
| spl3_79 ),
inference(avatar_split_clause,[],[f63,f563,f537,f511,f485]) ).
fof(f706,plain,
( spl3_62
| spl3_68
| spl3_74
| spl3_80 ),
inference(avatar_split_clause,[],[f64,f567,f541,f515,f489]) ).
fof(f707,plain,
( spl3_57
| spl3_63
| spl3_69
| spl3_75 ),
inference(avatar_split_clause,[],[f65,f546,f520,f494,f468]) ).
fof(f708,plain,
( spl3_30
| spl3_85
| spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f66,f221,f208,f590,f334]) ).
fof(f709,plain,
( spl3_83
| spl3_88
| spl3_92
| spl3_96 ),
inference(avatar_split_clause,[],[f67,f639,f621,f603,f581]) ).
fof(f710,plain,
( spl3_84
| spl3_89
| spl3_93
| spl3_97 ),
inference(avatar_split_clause,[],[f68,f643,f625,f607,f585]) ).
fof(f711,plain,
( spl3_58
| spl3_64
| spl3_70
| spl3_76 ),
inference(avatar_split_clause,[],[f69,f550,f524,f498,f472]) ).
fof(f712,plain,
( spl3_81
| spl3_86
| spl3_90
| spl3_94 ),
inference(avatar_split_clause,[],[f70,f630,f612,f594,f572]) ).
fof(f713,plain,
( spl3_21
| spl3_7
| spl3_102
| spl3_10 ),
inference(avatar_split_clause,[],[f71,f243,f668,f230,f292]) ).
fof(f714,plain,
( spl3_99
| spl3_101
| spl3_104
| spl3_106 ),
inference(avatar_split_clause,[],[f72,f687,f677,f663,f653]) ).
fof(f715,plain,
( spl3_59
| spl3_65
| spl3_71
| spl3_77 ),
inference(avatar_split_clause,[],[f73,f554,f528,f502,f476]) ).
fof(f716,plain,
( spl3_82
| spl3_87
| spl3_91
| spl3_95 ),
inference(avatar_split_clause,[],[f74,f634,f616,f598,f576]) ).
fof(f717,plain,
( spl3_98
| spl3_100
| spl3_103
| spl3_105 ),
inference(avatar_split_clause,[],[f75,f682,f672,f658,f648]) ).
fof(f718,plain,
( spl3_24
| spl3_12
| spl3_15
| spl3_107 ),
inference(avatar_split_clause,[],[f76,f698,f265,f252,f306]) ).
fof(f719,plain,
( e0 = e1
| ~ spl3_2
| ~ spl3_5 ),
inference(superposition,[],[f222,f209]) ).
fof(f723,plain,
( $false
| ~ spl3_2
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f719,f162]) ).
fof(f724,plain,
( ~ spl3_2
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f726,plain,
( e0 = e2
| ~ spl3_7
| ~ spl3_10 ),
inference(superposition,[],[f244,f231]) ).
fof(f730,plain,
( $false
| ~ spl3_7
| ~ spl3_10 ),
inference(forward_subsumption_resolution,[],[f726,f161]) ).
fof(f731,plain,
( ~ spl3_7
| ~ spl3_10 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f733,plain,
( e1 = e2
| ~ spl3_12
| ~ spl3_15 ),
inference(superposition,[],[f266,f253]) ).
fof(f737,plain,
( $false
| ~ spl3_12
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f733,f159]) ).
fof(f738,plain,
( ~ spl3_12
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f741,plain,
( e1 = e2
| ~ spl3_63
| ~ spl3_69 ),
inference(superposition,[],[f522,f496]) ).
fof(f745,plain,
( $false
| ~ spl3_63
| ~ spl3_69 ),
inference(forward_subsumption_resolution,[],[f741,f159]) ).
fof(f746,plain,
( ~ spl3_63
| ~ spl3_69 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f771,plain,
( e0 = e2
| ~ spl3_63
| ~ spl3_75 ),
inference(superposition,[],[f548,f496]) ).
fof(f776,plain,
( $false
| ~ spl3_63
| ~ spl3_75 ),
inference(forward_subsumption_resolution,[],[f771,f161]) ).
fof(f777,plain,
( ~ spl3_63
| ~ spl3_75 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f789,plain,
( e0 = e2
| ~ spl3_65
| ~ spl3_77 ),
inference(superposition,[],[f556,f504]) ).
fof(f793,plain,
( $false
| ~ spl3_65
| ~ spl3_77 ),
inference(forward_subsumption_resolution,[],[f789,f161]) ).
fof(f794,plain,
( ~ spl3_65
| ~ spl3_77 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f796,plain,
( e2 = e3
| ~ spl3_27
| ~ spl3_56 ),
inference(superposition,[],[f321,f466]) ).
fof(f800,plain,
( $false
| ~ spl3_27
| ~ spl3_56 ),
inference(forward_subsumption_resolution,[],[f796,f157]) ).
fof(f801,plain,
( ~ spl3_27
| ~ spl3_56 ),
inference(avatar_contradiction_clause,[],[f800]) ).
fof(f831,plain,
( e0 = e2
| ~ spl3_5
| ~ spl3_85 ),
inference(superposition,[],[f592,f222]) ).
fof(f836,plain,
( $false
| ~ spl3_5
| ~ spl3_85 ),
inference(forward_subsumption_resolution,[],[f831,f161]) ).
fof(f837,plain,
( ~ spl3_5
| ~ spl3_85 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f859,plain,
( e0 = e1
| ~ spl3_71
| ~ spl3_77 ),
inference(superposition,[],[f530,f556]) ).
fof(f864,plain,
( $false
| ~ spl3_71
| ~ spl3_77 ),
inference(forward_subsumption_resolution,[],[f859,f162]) ).
fof(f865,plain,
( ~ spl3_71
| ~ spl3_77 ),
inference(avatar_contradiction_clause,[],[f864]) ).
fof(f881,plain,
( e2 = e3
| ~ spl3_7
| ~ spl3_21 ),
inference(superposition,[],[f293,f231]) ).
fof(f886,plain,
( $false
| ~ spl3_7
| ~ spl3_21 ),
inference(forward_subsumption_resolution,[],[f881,f157]) ).
fof(f887,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f886]) ).
fof(f889,plain,
( e2 = e3
| ~ spl3_12
| ~ spl3_24 ),
inference(superposition,[],[f307,f253]) ).
fof(f894,plain,
( $false
| ~ spl3_12
| ~ spl3_24 ),
inference(forward_subsumption_resolution,[],[f889,f157]) ).
fof(f895,plain,
( ~ spl3_12
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f938,plain,
( e1 = e2
| ~ spl3_17
| ~ spl3_27 ),
inference(superposition,[],[f275,f321]) ).
fof(f943,plain,
( $false
| ~ spl3_17
| ~ spl3_27 ),
inference(forward_subsumption_resolution,[],[f938,f159]) ).
fof(f944,plain,
( ~ spl3_17
| ~ spl3_27 ),
inference(avatar_contradiction_clause,[],[f943]) ).
fof(f946,plain,
( e1 = e3
| ~ spl3_17
| ~ spl3_56 ),
inference(superposition,[],[f466,f275]) ).
fof(f951,plain,
( $false
| ~ spl3_17
| ~ spl3_56 ),
inference(forward_subsumption_resolution,[],[f946,f158]) ).
fof(f952,plain,
( ~ spl3_17
| ~ spl3_56 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f977,plain,
( e1 = e3
| ~ spl3_60
| ~ spl3_72 ),
inference(superposition,[],[f483,f535]) ).
fof(f983,plain,
( $false
| ~ spl3_60
| ~ spl3_72 ),
inference(forward_subsumption_resolution,[],[f977,f158]) ).
fof(f984,plain,
( ~ spl3_60
| ~ spl3_72 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f1045,plain,
( e1 = e2
| ~ spl3_7
| ~ spl3_102 ),
inference(superposition,[],[f670,f231]) ).
fof(f1051,plain,
( $false
| ~ spl3_7
| ~ spl3_102 ),
inference(forward_subsumption_resolution,[],[f1045,f159]) ).
fof(f1052,plain,
( ~ spl3_7
| ~ spl3_102 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1064,plain,
( e0 = e1
| ~ spl3_10
| ~ spl3_102 ),
inference(superposition,[],[f244,f670]) ).
fof(f1070,plain,
( $false
| ~ spl3_10
| ~ spl3_102 ),
inference(forward_subsumption_resolution,[],[f1064,f162]) ).
fof(f1071,plain,
( ~ spl3_10
| ~ spl3_102 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1089,plain,
( e1 = e3
| ~ spl3_81
| ~ spl3_90 ),
inference(superposition,[],[f614,f574]) ).
fof(f1093,plain,
( $false
| ~ spl3_81
| ~ spl3_90 ),
inference(forward_subsumption_resolution,[],[f1089,f158]) ).
fof(f1094,plain,
( ~ spl3_81
| ~ spl3_90 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1095,plain,
( e2 = e3
| ~ spl3_30
| ~ spl3_85 ),
inference(superposition,[],[f335,f592]) ).
fof(f1101,plain,
( $false
| ~ spl3_30
| ~ spl3_85 ),
inference(forward_subsumption_resolution,[],[f1095,f157]) ).
fof(f1102,plain,
( ~ spl3_30
| ~ spl3_85 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1113,plain,
( e0 = e3
| ~ spl3_5
| ~ spl3_30 ),
inference(superposition,[],[f222,f335]) ).
fof(f1119,plain,
( $false
| ~ spl3_5
| ~ spl3_30 ),
inference(forward_subsumption_resolution,[],[f1113,f160]) ).
fof(f1120,plain,
( ~ spl3_5
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1122,plain,
( e0 = e3
| ~ spl3_57
| ~ spl3_75 ),
inference(superposition,[],[f548,f470]) ).
fof(f1128,plain,
( $false
| ~ spl3_57
| ~ spl3_75 ),
inference(forward_subsumption_resolution,[],[f1122,f160]) ).
fof(f1129,plain,
( ~ spl3_57
| ~ spl3_75 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1142,plain,
( e1 = e2
| ~ spl3_65
| ~ spl3_71 ),
inference(superposition,[],[f504,f530]) ).
fof(f1148,plain,
( $false
| ~ spl3_65
| ~ spl3_71 ),
inference(forward_subsumption_resolution,[],[f1142,f159]) ).
fof(f1149,plain,
( ~ spl3_65
| ~ spl3_71 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1157,plain,
( e0 = e1
| ~ spl3_17
| ~ spl3_20 ),
inference(superposition,[],[f275,f288]) ).
fof(f1163,plain,
( $false
| ~ spl3_17
| ~ spl3_20 ),
inference(forward_subsumption_resolution,[],[f1157,f162]) ).
fof(f1164,plain,
( ~ spl3_17
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1181,plain,
( e0 = e1
| ~ spl3_69
| ~ spl3_75 ),
inference(superposition,[],[f548,f522]) ).
fof(f1187,plain,
( $false
| ~ spl3_69
| ~ spl3_75 ),
inference(forward_subsumption_resolution,[],[f1181,f162]) ).
fof(f1188,plain,
( ~ spl3_69
| ~ spl3_75 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1217,plain,
( e0 = e3
| ~ spl3_98
| ~ spl3_105 ),
inference(superposition,[],[f684,f650]) ).
fof(f1223,plain,
( $false
| ~ spl3_98
| ~ spl3_105 ),
inference(forward_subsumption_resolution,[],[f1217,f160]) ).
fof(f1224,plain,
( ~ spl3_98
| ~ spl3_105 ),
inference(avatar_contradiction_clause,[],[f1223]) ).
fof(f1234,plain,
( e0 = e1
| ~ spl3_15
| ~ spl3_107 ),
inference(superposition,[],[f700,f266]) ).
fof(f1240,plain,
( $false
| ~ spl3_15
| ~ spl3_107 ),
inference(forward_subsumption_resolution,[],[f1234,f162]) ).
fof(f1241,plain,
( ~ spl3_15
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f1240]) ).
fof(f1244,plain,
( e3 != op(e3,e1)
| ~ spl3_56 ),
inference(superposition,[],[f110,f466]) ).
fof(f1247,plain,
( e0 != op(e3,e0)
| ~ spl3_78 ),
inference(superposition,[],[f113,f561]) ).
fof(f1248,plain,
( e1 != op(e3,e0)
| ~ spl3_73 ),
inference(superposition,[],[f114,f539]) ).
fof(f1249,plain,
( e1 != op(e2,e2)
| ~ spl3_69 ),
inference(superposition,[],[f115,f522]) ).
fof(f1251,plain,
( e2 != op(e2,e1)
| ~ spl3_85 ),
inference(superposition,[],[f117,f592]) ).
fof(f1252,plain,
( ~ spl3_88
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1251,f590,f603]) ).
fof(f1258,plain,
( e0 != op(e1,e1)
| ~ spl3_76 ),
inference(superposition,[],[f122,f552]) ).
fof(f1259,plain,
( e1 != op(e1,e1)
| ~ spl3_90 ),
inference(superposition,[],[f123,f614]) ).
fof(f1261,plain,
( e1 != op(e1,e0)
| ~ spl3_90 ),
inference(superposition,[],[f125,f614]) ).
fof(f1262,plain,
( e2 != op(e1,e0)
| ~ spl3_7 ),
inference(superposition,[],[f126,f231]) ).
fof(f1263,plain,
( ~ spl3_101
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f1262,f230,f663]) ).
fof(f1265,plain,
( e2 != op(e0,e2)
| ~ spl3_65 ),
inference(superposition,[],[f127,f504]) ).
fof(f1267,plain,
( e3 != op(e0,e1)
| ~ spl3_82 ),
inference(superposition,[],[f129,f578]) ).
fof(f1269,plain,
( op(e0,e0) != e3
| ~ spl3_82 ),
inference(superposition,[],[f131,f578]) ).
fof(f1270,plain,
( e0 != op(e0,e0)
| ~ spl3_105 ),
inference(superposition,[],[f132,f684]) ).
fof(f1276,plain,
( e0 != op(e0,e3)
| ~ spl3_76 ),
inference(superposition,[],[f138,f552]) ).
fof(f1279,plain,
( e2 != op(e1,e2)
| ~ spl3_85 ),
inference(superposition,[],[f141,f592]) ).
fof(f1280,plain,
( ~ spl3_86
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1279,f590,f594]) ).
fof(f1283,plain,
( e2 != op(e0,e2)
| ~ spl3_85 ),
inference(superposition,[],[f143,f592]) ).
fof(f1289,plain,
( e3 != op(e1,e1)
| ~ spl3_83 ),
inference(superposition,[],[f147,f583]) ).
fof(f1291,plain,
( e3 != op(e0,e1)
| ~ spl3_83 ),
inference(superposition,[],[f149,f583]) ).
fof(f1292,plain,
( e2 != op(e0,e1)
| ~ spl3_7 ),
inference(superposition,[],[f150,f231]) ).
fof(f1293,plain,
( e2 != op(e2,e0)
| ~ spl3_68 ),
inference(superposition,[],[f151,f517]) ).
fof(f1295,plain,
( e0 != op(e1,e0)
| ~ spl3_97 ),
inference(superposition,[],[f153,f645]) ).
fof(f1298,plain,
( op(e0,e0) != e3
| ~ spl3_99 ),
inference(superposition,[],[f156,f655]) ).
fof(f1318,plain,
( e1 != op(e2,op(e2,e2))
| spl3_4
| ~ spl3_85 ),
inference(superposition,[],[f219,f592]) ).
fof(f1324,plain,
( ~ spl3_107
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f1270,f682,f698]) ).
fof(f1327,plain,
( ~ spl3_61
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f1244,f464,f485]) ).
fof(f1331,plain,
( ~ spl3_24
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f1269,f576,f306]) ).
fof(f1332,plain,
( ~ spl3_24
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1298,f653,f306]) ).
fof(f1333,plain,
( e0 != op(e2,e1)
| ~ spl3_5 ),
inference(superposition,[],[f117,f222]) ).
fof(f1334,plain,
( e0 != op(e2,e0)
| ~ spl3_5 ),
inference(superposition,[],[f119,f222]) ).
fof(f1335,plain,
( e0 != op(e1,e2)
| ~ spl3_5 ),
inference(superposition,[],[f141,f222]) ).
fof(f1336,plain,
( e0 != op(e0,e2)
| ~ spl3_5 ),
inference(superposition,[],[f143,f222]) ).
fof(f1337,plain,
( e0 != op(e2,op(e0,e2))
| spl3_1
| ~ spl3_5 ),
inference(superposition,[],[f206,f222]) ).
fof(f1339,plain,
( e1 != op(e2,op(e0,e2))
| spl3_4
| ~ spl3_5 ),
inference(superposition,[],[f219,f222]) ).
fof(f1341,plain,
( ~ spl3_95
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f1336,f221,f634]) ).
fof(f1342,plain,
( ~ spl3_94
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f1335,f221,f630]) ).
fof(f1343,plain,
( ~ spl3_97
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f1334,f221,f643]) ).
fof(f1344,plain,
( ~ spl3_87
| ~ spl3_65 ),
inference(avatar_split_clause,[],[f1265,f502,f598]) ).
fof(f1345,plain,
( ~ spl3_87
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1283,f590,f598]) ).
fof(f1348,plain,
( ~ spl3_106
| ~ spl3_97 ),
inference(avatar_split_clause,[],[f1295,f643,f687]) ).
fof(f1358,plain,
( e0 != op(e3,e1)
| ~ spl3_20 ),
inference(superposition,[],[f110,f288]) ).
fof(f1361,plain,
( e0 != op(e1,e3)
| ~ spl3_20 ),
inference(superposition,[],[f134,f288]) ).
fof(f1368,plain,
( ~ spl3_76
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f1361,f287,f550]) ).
fof(f1375,plain,
( op(e0,e0) != e3
| ~ spl3_59 ),
inference(superposition,[],[f130,f478]) ).
fof(f1381,plain,
( e3 != op(e2,e2)
| ~ spl3_60 ),
inference(superposition,[],[f139,f483]) ).
fof(f1382,plain,
( e3 != op(e1,e2)
| ~ spl3_60 ),
inference(superposition,[],[f140,f483]) ).
fof(f1388,plain,
( e1 != op(e2,e1)
| ~ spl3_2 ),
inference(superposition,[],[f117,f209]) ).
fof(f1389,plain,
( e1 != op(e2,e0)
| ~ spl3_2 ),
inference(superposition,[],[f119,f209]) ).
fof(f1390,plain,
( e1 != op(e1,e2)
| ~ spl3_2 ),
inference(superposition,[],[f141,f209]) ).
fof(f1398,plain,
( ~ spl3_93
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f1389,f208,f625]) ).
fof(f1399,plain,
( ~ spl3_92
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f1388,f208,f621]) ).
fof(f1401,plain,
( e3 != op(e2,e1)
| ~ spl3_57 ),
inference(superposition,[],[f116,f470]) ).
fof(f1403,plain,
( e3 != op(e1,e3)
| ~ spl3_57 ),
inference(superposition,[],[f135,f470]) ).
fof(f1409,plain,
( ~ spl3_83
| ~ spl3_57 ),
inference(avatar_split_clause,[],[f1401,f468,f581]) ).
fof(f1410,plain,
( e3 != op(e3,e0)
| ~ spl3_61 ),
inference(superposition,[],[f114,f487]) ).
fof(f1411,plain,
( e3 != op(e2,e1)
| ~ spl3_61 ),
inference(superposition,[],[f145,f487]) ).
fof(f1412,plain,
( e3 != op(e1,e1)
| ~ spl3_61 ),
inference(superposition,[],[f146,f487]) ).
fof(f1416,plain,
( ~ spl3_83
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f1411,f485,f581]) ).
fof(f1417,plain,
( e2 != op(e1,e2)
| ~ spl3_64 ),
inference(superposition,[],[f121,f500]) ).
fof(f1418,plain,
( e2 != op(e1,e1)
| ~ spl3_64 ),
inference(superposition,[],[f122,f500]) ).
fof(f1426,plain,
( ~ spl3_86
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f1417,f498,f594]) ).
fof(f1429,plain,
( ~ spl3_58
| ~ spl3_57 ),
inference(avatar_split_clause,[],[f1403,f468,f472]) ).
fof(f1440,plain,
( e0 != op(e1,e0)
| ~ spl3_10 ),
inference(superposition,[],[f126,f244]) ).
fof(f1441,plain,
( e0 != op(e0,e1)
| ~ spl3_10 ),
inference(superposition,[],[f150,f244]) ).
fof(f1442,plain,
( e0 != op(e1,op(e0,e1))
| spl3_6
| ~ spl3_10 ),
inference(superposition,[],[f228,f244]) ).
fof(f1445,plain,
( e2 != op(e0,e1)
| ~ spl3_10
| spl3_22 ),
inference(superposition,[],[f298,f244]) ).
fof(f1449,plain,
( ~ spl3_100
| ~ spl3_10
| spl3_22 ),
inference(avatar_split_clause,[],[f1445,f296,f243,f658]) ).
fof(f1450,plain,
( ~ spl3_105
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1441,f243,f682]) ).
fof(f1451,plain,
( ~ spl3_106
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1440,f243,f687]) ).
fof(f1464,plain,
( e2 != op(e3,e1)
| ~ spl3_66 ),
inference(superposition,[],[f111,f509]) ).
fof(f1465,plain,
( e2 != op(e3,e0)
| ~ spl3_66 ),
inference(superposition,[],[f113,f509]) ).
fof(f1467,plain,
( e2 != op(e1,e2)
| ~ spl3_66 ),
inference(superposition,[],[f140,f509]) ).
fof(f1472,plain,
( ~ spl3_86
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f1467,f507,f594]) ).
fof(f1474,plain,
( ~ spl3_68
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f1465,f507,f515]) ).
fof(f1476,plain,
( e1 != op(e1,e2)
| ~ spl3_70 ),
inference(superposition,[],[f121,f526]) ).
fof(f1477,plain,
( e1 != op(e1,e1)
| ~ spl3_70 ),
inference(superposition,[],[f122,f526]) ).
fof(f1478,plain,
( e1 != op(e1,e0)
| ~ spl3_70 ),
inference(superposition,[],[f124,f526]) ).
fof(f1479,plain,
( e1 != op(e0,e3)
| ~ spl3_70 ),
inference(superposition,[],[f138,f526]) ).
fof(f1482,plain,
( ~ spl3_71
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1479,f524,f528]) ).
fof(f1486,plain,
( e3 != op(e1,e1)
| ~ spl3_58 ),
inference(superposition,[],[f122,f474]) ).
fof(f1502,plain,
( e1 != op(e1,e0)
| ~ spl3_74 ),
inference(superposition,[],[f152,f543]) ).
fof(f1503,plain,
( op(e0,e0) != e1
| ~ spl3_74 ),
inference(superposition,[],[f154,f543]) ).
fof(f1514,plain,
( op(e0,e0) != e3
| ~ spl3_84 ),
inference(superposition,[],[f155,f587]) ).
fof(f1520,plain,
( e2 != op(e2,e0)
| ~ spl3_88 ),
inference(superposition,[],[f120,f605]) ).
fof(f1521,plain,
( e2 != op(e1,e1)
| ~ spl3_88 ),
inference(superposition,[],[f147,f605]) ).
fof(f1522,plain,
( e2 != op(e0,e1)
| ~ spl3_88 ),
inference(superposition,[],[f149,f605]) ).
fof(f1525,plain,
( ~ spl3_100
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f1522,f603,f658]) ).
fof(f1526,plain,
( ~ spl3_89
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f1520,f603,f607]) ).
fof(f1537,plain,
( op(e0,e0) != e1
| ~ spl3_103 ),
inference(superposition,[],[f132,f674]) ).
fof(f1546,plain,
( e3 != op(e0,e1)
| spl3_8
| ~ spl3_10 ),
inference(superposition,[],[f236,f244]) ).
fof(f1547,plain,
( op(e0,e0) != e3
| spl3_13
| ~ spl3_107 ),
inference(superposition,[],[f258,f700]) ).
fof(f1572,plain,
( e1 != op(e2,e3)
| spl3_4
| ~ spl3_5
| ~ spl3_82 ),
inference(superposition,[],[f1339,f578]) ).
fof(f1573,plain,
( $false
| spl3_4
| ~ spl3_5
| ~ spl3_69
| ~ spl3_82 ),
inference(forward_subsumption_resolution,[],[f1572,f522]) ).
fof(f1574,plain,
( spl3_4
| ~ spl3_5
| ~ spl3_69
| ~ spl3_82 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1575,plain,
( e3 != op(e0,e2)
| spl3_3
| ~ spl3_5 ),
inference(superposition,[],[f214,f222]) ).
fof(f1578,plain,
( ~ spl3_104
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f1502,f541,f677]) ).
fof(f1580,plain,
( ~ spl3_24
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f1514,f585,f306]) ).
fof(f1581,plain,
( ~ spl3_24
| spl3_13
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f1547,f698,f256,f306]) ).
fof(f1584,plain,
( ~ spl3_90
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1476,f524,f612]) ).
fof(f1585,plain,
( ~ spl3_104
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1478,f524,f677]) ).
fof(f1587,plain,
( ~ spl3_98
| spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1546,f243,f234,f648]) ).
fof(f1596,plain,
( ~ spl3_10
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1258,f550,f243]) ).
fof(f1597,plain,
( e1 != op(e3,e2)
| ~ spl3_17 ),
inference(superposition,[],[f109,f275]) ).
fof(f1598,plain,
( e1 != op(e3,e1)
| ~ spl3_17 ),
inference(superposition,[],[f110,f275]) ).
fof(f1599,plain,
( e1 != op(e3,e0)
| ~ spl3_17 ),
inference(superposition,[],[f112,f275]) ).
fof(f1613,plain,
( ~ spl3_74
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f1599,f274,f541]) ).
fof(f1614,plain,
( ~ spl3_72
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f1597,f274,f533]) ).
fof(f1620,plain,
( e2 != op(e3,e0)
| ~ spl3_24
| spl3_25 ),
inference(superposition,[],[f312,f307]) ).
fof(f1621,plain,
( e1 != op(e3,e0)
| ~ spl3_24
| spl3_33 ),
inference(superposition,[],[f350,f307]) ).
fof(f1622,plain,
( ~ spl3_74
| ~ spl3_24
| spl3_33 ),
inference(avatar_split_clause,[],[f1621,f348,f306,f541]) ).
fof(f1623,plain,
( ~ spl3_68
| ~ spl3_24
| spl3_25 ),
inference(avatar_split_clause,[],[f1620,f310,f306,f515]) ).
fof(f1654,plain,
( e3 != op(e1,e1)
| ~ spl3_81 ),
inference(superposition,[],[f123,f574]) ).
fof(f1656,plain,
( e3 != op(e0,e2)
| ~ spl3_81 ),
inference(superposition,[],[f144,f574]) ).
fof(f1658,plain,
( ~ spl3_82
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f1656,f572,f576]) ).
fof(f1662,plain,
( e1 != op(e0,e1)
| ~ spl3_91 ),
inference(superposition,[],[f129,f618]) ).
fof(f1663,plain,
( op(e0,e0) != e1
| ~ spl3_91 ),
inference(superposition,[],[f131,f618]) ).
fof(f1668,plain,
( ~ spl3_103
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f1662,f616,f672]) ).
fof(f1670,plain,
( e1 != op(e2,e0)
| ~ spl3_92 ),
inference(superposition,[],[f120,f623]) ).
fof(f1672,plain,
( e1 != op(e0,e1)
| ~ spl3_92 ),
inference(superposition,[],[f149,f623]) ).
fof(f1678,plain,
( ~ spl3_103
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f1672,f621,f672]) ).
fof(f1680,plain,
( ~ spl3_93
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f1670,f621,f625]) ).
fof(f1693,plain,
( e1 != op(e1,e0)
| ~ spl3_102 ),
inference(superposition,[],[f126,f670]) ).
fof(f1694,plain,
( e1 != op(e0,e1)
| ~ spl3_102 ),
inference(superposition,[],[f150,f670]) ).
fof(f1702,plain,
( ~ spl3_103
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f1694,f668,f672]) ).
fof(f1703,plain,
( ~ spl3_104
| ~ spl3_102 ),
inference(avatar_split_clause,[],[f1693,f668,f677]) ).
fof(f1710,plain,
( e3 = op(e3,e0)
| ~ spl3_13
| ~ spl3_24 ),
inference(superposition,[],[f257,f307]) ).
fof(f1717,plain,
( $false
| ~ spl3_13
| ~ spl3_24
| spl3_62 ),
inference(forward_subsumption_resolution,[],[f1710,f490]) ).
fof(f1718,plain,
( ~ spl3_13
| ~ spl3_24
| spl3_62 ),
inference(avatar_contradiction_clause,[],[f1717]) ).
fof(f1726,plain,
( e1 != op(e3,e0)
| spl3_19
| ~ spl3_34 ),
inference(superposition,[],[f285,f355]) ).
fof(f1736,plain,
( e1 != op(e2,e1)
| spl3_4
| ~ spl3_5
| ~ spl3_91 ),
inference(superposition,[],[f1339,f618]) ).
fof(f1741,plain,
( op(e0,e0) = e3
| ~ spl3_40
| ~ spl3_80 ),
inference(superposition,[],[f386,f569]) ).
fof(f1742,plain,
( e2 = op(e1,e1)
| ~ spl3_41
| ~ spl3_93 ),
inference(superposition,[],[f391,f627]) ).
fof(f1746,plain,
( e1 = op(e2,e2)
| ~ spl3_42
| ~ spl3_101 ),
inference(superposition,[],[f396,f665]) ).
fof(f1754,plain,
( e3 = op(e3,e3)
| ~ spl3_52
| ~ spl3_61 ),
inference(superposition,[],[f446,f487]) ).
fof(f1755,plain,
( $false
| ~ spl3_52
| spl3_56
| ~ spl3_61 ),
inference(forward_subsumption_resolution,[],[f1754,f465]) ).
fof(f1756,plain,
( ~ spl3_52
| spl3_56
| ~ spl3_61 ),
inference(avatar_contradiction_clause,[],[f1755]) ).
fof(f1757,plain,
( e3 = op(e1,e1)
| ~ spl3_17
| ~ spl3_44 ),
inference(superposition,[],[f406,f275]) ).
fof(f1761,plain,
( e2 = op(e3,e3)
| ~ spl3_45
| ~ spl3_57 ),
inference(superposition,[],[f411,f470]) ).
fof(f1762,plain,
( $false
| spl3_27
| ~ spl3_45
| ~ spl3_57 ),
inference(forward_subsumption_resolution,[],[f1761,f322]) ).
fof(f1763,plain,
( spl3_27
| ~ spl3_45
| ~ spl3_57 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1765,plain,
( op(e0,e0) = e1
| ~ spl3_46
| ~ spl3_76 ),
inference(superposition,[],[f416,f552]) ).
fof(f1770,plain,
( e0 = op(e2,e2)
| ~ spl3_47
| ~ spl3_65 ),
inference(superposition,[],[f421,f504]) ).
fof(f1771,plain,
( e3 = op(e2,e2)
| ~ spl3_48
| ~ spl3_66 ),
inference(superposition,[],[f426,f509]) ).
fof(f1772,plain,
( $false
| spl3_30
| ~ spl3_48
| ~ spl3_66 ),
inference(forward_subsumption_resolution,[],[f1771,f336]) ).
fof(f1773,plain,
( spl3_30
| ~ spl3_48
| ~ spl3_66 ),
inference(avatar_contradiction_clause,[],[f1772]) ).
fof(f1776,plain,
( ~ spl3_73
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f1598,f274,f537]) ).
fof(f1778,plain,
( ~ spl3_21
| ~ spl3_81 ),
inference(avatar_split_clause,[],[f1654,f572,f292]) ).
fof(f1783,plain,
( spl3_21
| ~ spl3_17
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f1757,f404,f274,f292]) ).
fof(f1784,plain,
( spl3_15
| ~ spl3_46
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1765,f550,f414,f265]) ).
fof(f1785,plain,
( ~ spl3_21
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f1486,f472,f292]) ).
fof(f1786,plain,
( ~ spl3_62
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f1410,f485,f489]) ).
fof(f1787,plain,
( ~ spl3_21
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f1412,f485,f292]) ).
fof(f1789,plain,
( ~ spl3_102
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f1259,f612,f668]) ).
fof(f1790,plain,
( ~ spl3_15
| ~ spl3_103 ),
inference(avatar_split_clause,[],[f1537,f672,f265]) ).
fof(f1791,plain,
( spl3_24
| ~ spl3_40
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f1741,f567,f384,f306]) ).
fof(f1793,plain,
( ~ spl3_67
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f1464,f507,f511]) ).
fof(f1798,plain,
( spl3_5
| ~ spl3_47
| ~ spl3_65 ),
inference(avatar_split_clause,[],[f1770,f502,f419,f221]) ).
fof(f1800,plain,
( ~ spl3_80
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f1247,f559,f567]) ).
fof(f1809,plain,
( e3 != op(e1,e0)
| ~ spl3_21 ),
inference(superposition,[],[f126,f293]) ).
fof(f1810,plain,
( e3 != op(e0,e1)
| ~ spl3_21 ),
inference(superposition,[],[f150,f293]) ).
fof(f1815,plain,
( e2 != op(e3,e1)
| ~ spl3_21
| spl3_22 ),
inference(superposition,[],[f298,f293]) ).
fof(f1817,plain,
( ~ spl3_67
| ~ spl3_21
| spl3_22 ),
inference(avatar_split_clause,[],[f1815,f296,f292,f511]) ).
fof(f1829,plain,
( e3 != op(e1,e0)
| ~ spl3_62 ),
inference(superposition,[],[f152,f491]) ).
fof(f1830,plain,
( op(e0,e0) != e3
| ~ spl3_62 ),
inference(superposition,[],[f154,f491]) ).
fof(f1836,plain,
( e2 != op(e1,e1)
| ~ spl3_67 ),
inference(superposition,[],[f146,f513]) ).
fof(f1837,plain,
( e2 != op(e0,e1)
| ~ spl3_67 ),
inference(superposition,[],[f148,f513]) ).
fof(f1887,plain,
( e3 = op(e2,e2)
| ~ spl3_3
| ~ spl3_85 ),
inference(superposition,[],[f213,f592]) ).
fof(f1890,plain,
( e0 != op(e2,e3)
| spl3_1
| ~ spl3_3 ),
inference(superposition,[],[f206,f213]) ).
fof(f1893,plain,
( $false
| ~ spl3_3
| spl3_30
| ~ spl3_85 ),
inference(forward_subsumption_resolution,[],[f1887,f336]) ).
fof(f1894,plain,
( ~ spl3_3
| spl3_30
| ~ spl3_85 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1895,plain,
( e3 != op(e2,e2)
| spl3_3
| ~ spl3_85 ),
inference(superposition,[],[f214,f592]) ).
fof(f1896,plain,
( e2 = op(e3,e1)
| ~ spl3_21
| ~ spl3_22 ),
inference(superposition,[],[f297,f293]) ).
fof(f1898,plain,
( e0 != op(e1,e2)
| spl3_6
| ~ spl3_22 ),
inference(superposition,[],[f228,f297]) ).
fof(f1900,plain,
( e2 = op(e1,e0)
| ~ spl3_15
| ~ spl3_25 ),
inference(superposition,[],[f311,f266]) ).
fof(f1903,plain,
( e1 != op(e0,e2)
| spl3_11
| ~ spl3_25 ),
inference(superposition,[],[f250,f311]) ).
fof(f1918,plain,
( e0 != op(e2,e0)
| ~ spl3_96 ),
inference(superposition,[],[f120,f641]) ).
fof(f1919,plain,
( e0 != op(e1,e1)
| ~ spl3_96 ),
inference(superposition,[],[f147,f641]) ).
fof(f1925,plain,
( ~ spl3_97
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f1918,f639,f643]) ).
fof(f1949,plain,
( e1 != op(e2,e2)
| spl3_4
| ~ spl3_85 ),
inference(superposition,[],[f1318,f592]) ).
fof(f1953,plain,
( e1 = op(e1,e1)
| ~ spl3_50
| ~ spl3_90 ),
inference(superposition,[],[f436,f614]) ).
fof(f1954,plain,
( $false
| ~ spl3_50
| ~ spl3_90
| spl3_102 ),
inference(forward_subsumption_resolution,[],[f1953,f669]) ).
fof(f1955,plain,
( ~ spl3_50
| ~ spl3_90
| spl3_102 ),
inference(avatar_contradiction_clause,[],[f1954]) ).
fof(f1958,plain,
( e0 = op(e3,e3)
| ~ spl3_51
| ~ spl3_82 ),
inference(superposition,[],[f441,f578]) ).
fof(f1959,plain,
( $false
| spl3_20
| ~ spl3_51
| ~ spl3_82 ),
inference(forward_subsumption_resolution,[],[f1958,f289]) ).
fof(f1960,plain,
( spl3_20
| ~ spl3_51
| ~ spl3_82 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1962,plain,
( e3 = op(e2,e2)
| ~ spl3_52
| ~ spl3_67 ),
inference(superposition,[],[f446,f513]) ).
fof(f1965,plain,
( ~ spl3_90
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f1390,f208,f612]) ).
fof(f1966,plain,
( spl3_2
| ~ spl3_42
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f1746,f663,f394,f208]) ).
fof(f1972,plain,
( e3 != op(e1,e2)
| ~ spl3_2
| spl3_3 ),
inference(superposition,[],[f214,f209]) ).
fof(f1977,plain,
( e2 = op(e1,e1)
| ~ spl3_2
| ~ spl3_49 ),
inference(superposition,[],[f431,f209]) ).
fof(f1981,plain,
( e2 != op(e1,e1)
| ~ spl3_86 ),
inference(superposition,[],[f123,f596]) ).
fof(f1982,plain,
( e2 != op(e1,e0)
| ~ spl3_86 ),
inference(superposition,[],[f125,f596]) ).
fof(f1991,plain,
( ~ spl3_101
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f1982,f594,f663]) ).
fof(f1992,plain,
( e2 != op(e1,e0)
| ~ spl3_89 ),
inference(superposition,[],[f153,f609]) ).
fof(f1993,plain,
( op(e0,e0) != e2
| ~ spl3_89 ),
inference(superposition,[],[f155,f609]) ).
fof(f1996,plain,
( ~ spl3_101
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f1992,f607,f663]) ).
fof(f2006,plain,
( spl3_30
| ~ spl3_52
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f1962,f511,f444,f334]) ).
fof(f2008,plain,
( ~ spl3_98
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f1267,f576,f648]) ).
fof(f2010,plain,
( ~ spl3_21
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f1289,f581,f292]) ).
fof(f2011,plain,
( ~ spl3_98
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f1291,f581,f648]) ).
fof(f2013,plain,
( ~ spl3_10
| ~ spl3_96 ),
inference(avatar_split_clause,[],[f1919,f639,f243]) ).
fof(f2018,plain,
( ~ spl3_94
| spl3_6
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f1898,f296,f226,f630]) ).
fof(f2019,plain,
( ~ spl3_7
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f1836,f511,f230]) ).
fof(f2020,plain,
( ~ spl3_7
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f1981,f594,f230]) ).
fof(f2040,plain,
( e1 = e3
| ~ spl3_2
| ~ spl3_30 ),
inference(superposition,[],[f335,f209]) ).
fof(f2041,plain,
( e3 != op(e2,e1)
| ~ spl3_30 ),
inference(superposition,[],[f117,f335]) ).
fof(f2042,plain,
( e3 != op(e2,e0)
| ~ spl3_30 ),
inference(superposition,[],[f119,f335]) ).
fof(f2043,plain,
( e3 != op(e1,e2)
| ~ spl3_30 ),
inference(superposition,[],[f141,f335]) ).
fof(f2045,plain,
( e0 != op(e2,op(e3,e2))
| spl3_1
| ~ spl3_30 ),
inference(superposition,[],[f206,f335]) ).
fof(f2048,plain,
( e1 != op(e2,op(e3,e2))
| spl3_4
| ~ spl3_30 ),
inference(superposition,[],[f219,f335]) ).
fof(f2056,plain,
( ~ spl3_83
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f2041,f334,f581]) ).
fof(f2057,plain,
( $false
| ~ spl3_2
| ~ spl3_30 ),
inference(forward_subsumption_resolution,[],[f2040,f158]) ).
fof(f2058,plain,
( ~ spl3_2
| ~ spl3_30 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2087,plain,
( e0 != op(e2,e2)
| ~ spl3_75 ),
inference(superposition,[],[f115,f548]) ).
fof(f2091,plain,
( e0 != op(e0,e3)
| ~ spl3_75 ),
inference(superposition,[],[f137,f548]) ).
fof(f2100,plain,
( e0 != op(e3,e0)
| ~ spl3_79 ),
inference(superposition,[],[f114,f565]) ).
fof(f2101,plain,
( e0 != op(e2,e1)
| ~ spl3_79 ),
inference(superposition,[],[f145,f565]) ).
fof(f2102,plain,
( e0 != op(e1,e1)
| ~ spl3_79 ),
inference(superposition,[],[f146,f565]) ).
fof(f2103,plain,
( e0 != op(e0,e1)
| ~ spl3_79 ),
inference(superposition,[],[f148,f565]) ).
fof(f2107,plain,
( ~ spl3_96
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f2101,f563,f639]) ).
fof(f2115,plain,
( e0 != op(e1,e1)
| ~ spl3_94 ),
inference(superposition,[],[f123,f632]) ).
fof(f2116,plain,
( e0 != op(e1,e0)
| ~ spl3_94 ),
inference(superposition,[],[f125,f632]) ).
fof(f2117,plain,
( e0 != op(e0,e2)
| ~ spl3_94 ),
inference(superposition,[],[f144,f632]) ).
fof(f2121,plain,
( ~ spl3_106
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f2116,f630,f687]) ).
fof(f2139,plain,
( e2 != op(e1,e3)
| ~ spl3_8
| spl3_9 ),
inference(superposition,[],[f241,f235]) ).
fof(f2154,plain,
( e1 = op(e1,e1)
| ~ spl3_42
| ~ spl3_104 ),
inference(superposition,[],[f396,f679]) ).
fof(f2155,plain,
( $false
| ~ spl3_42
| spl3_102
| ~ spl3_104 ),
inference(forward_subsumption_resolution,[],[f2154,f669]) ).
fof(f2156,plain,
( ~ spl3_42
| spl3_102
| ~ spl3_104 ),
inference(avatar_contradiction_clause,[],[f2155]) ).
fof(f2165,plain,
( op(e0,e0) = e1
| ~ spl3_50
| ~ spl3_94 ),
inference(superposition,[],[f436,f632]) ).
fof(f2166,plain,
( $false
| spl3_15
| ~ spl3_50
| ~ spl3_94 ),
inference(forward_subsumption_resolution,[],[f2165,f267]) ).
fof(f2167,plain,
( spl3_15
| ~ spl3_50
| ~ spl3_94 ),
inference(avatar_contradiction_clause,[],[f2166]) ).
fof(f2170,plain,
( op(e0,e0) = e3
| ~ spl3_52
| ~ spl3_79 ),
inference(superposition,[],[f446,f565]) ).
fof(f2178,plain,
( ~ spl3_7
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f1418,f498,f230]) ).
fof(f2179,plain,
( ~ spl3_89
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f1293,f515,f607]) ).
fof(f2181,plain,
( ~ spl3_2
| spl3_4
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1949,f590,f217,f208]) ).
fof(f2182,plain,
( ~ spl3_104
| ~ spl3_90 ),
inference(avatar_split_clause,[],[f1261,f612,f677]) ).
fof(f2184,plain,
( ~ spl3_64
| ~ spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f2139,f239,f234,f498]) ).
fof(f2201,plain,
( e0 = op(e1,e1)
| ~ spl3_15
| ~ spl3_43 ),
inference(superposition,[],[f401,f266]) ).
fof(f2220,plain,
( e1 = op(e2,e2)
| ~ spl3_46
| ~ spl3_64 ),
inference(superposition,[],[f416,f500]) ).
fof(f2285,plain,
( op(e0,e0) != e2
| ~ spl3_100 ),
inference(superposition,[],[f132,f660]) ).
fof(f2306,plain,
( ~ spl3_100
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f1292,f230,f658]) ).
fof(f2309,plain,
( ~ spl3_77
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f2091,f546,f554]) ).
fof(f2310,plain,
( spl3_10
| ~ spl3_15
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f2201,f399,f265,f243]) ).
fof(f2312,plain,
( spl3_7
| ~ spl3_41
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f1742,f625,f389,f230]) ).
fof(f2314,plain,
( ~ spl3_84
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f2042,f334,f585]) ).
fof(f2318,plain,
( ~ spl3_77
| ~ spl3_76 ),
inference(avatar_split_clause,[],[f1276,f550,f554]) ).
fof(f2323,plain,
( ~ spl3_99
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f1829,f489,f653]) ).
fof(f2325,plain,
( ~ spl3_100
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f1837,f511,f658]) ).
fof(f2327,plain,
( ~ spl3_12
| ~ spl3_89 ),
inference(avatar_split_clause,[],[f1993,f607,f252]) ).
fof(f2328,plain,
( ~ spl3_15
| ~ spl3_91 ),
inference(avatar_split_clause,[],[f1663,f616,f265]) ).
fof(f2331,plain,
( ~ spl3_99
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f1809,f292,f653]) ).
fof(f2332,plain,
( ~ spl3_98
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f1810,f292,f648]) ).
fof(f2333,plain,
( spl3_67
| ~ spl3_21
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f1896,f296,f292,f511]) ).
fof(f2353,plain,
( e2 = op(e3,e3)
| ~ spl3_30
| ~ spl3_49 ),
inference(superposition,[],[f431,f335]) ).
fof(f2397,plain,
( e2 != op(e0,e1)
| ~ spl3_87 ),
inference(superposition,[],[f129,f600]) ).
fof(f2402,plain,
( ~ spl3_100
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f2397,f598,f658]) ).
fof(f2448,plain,
( e2 != op(e0,e1)
| spl3_14
| ~ spl3_33 ),
inference(superposition,[],[f263,f349]) ).
fof(f2483,plain,
( e3 != op(e1,e2)
| ~ spl3_22
| spl3_23 ),
inference(superposition,[],[f303,f297]) ).
fof(f2495,plain,
( op(e0,e0) = e2
| ~ spl3_53
| ~ spl3_96 ),
inference(superposition,[],[f451,f641]) ).
fof(f2496,plain,
( $false
| spl3_12
| ~ spl3_53
| ~ spl3_96 ),
inference(forward_subsumption_resolution,[],[f2495,f254]) ).
fof(f2497,plain,
( spl3_12
| ~ spl3_53
| ~ spl3_96 ),
inference(avatar_contradiction_clause,[],[f2496]) ).
fof(f2498,plain,
( ~ spl3_30
| spl3_3
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1895,f590,f212,f334]) ).
fof(f2499,plain,
( ~ spl3_81
| ~ spl3_22
| spl3_23 ),
inference(avatar_split_clause,[],[f2483,f301,f296,f572]) ).
fof(f2559,plain,
( op(e0,e0) = e3
| ~ spl3_48
| ~ spl3_78 ),
inference(superposition,[],[f426,f561]) ).
fof(f2560,plain,
( $false
| spl3_24
| ~ spl3_48
| ~ spl3_78 ),
inference(forward_subsumption_resolution,[],[f2559,f308]) ).
fof(f2561,plain,
( spl3_24
| ~ spl3_48
| ~ spl3_78 ),
inference(avatar_contradiction_clause,[],[f2560]) ).
fof(f2562,plain,
( ~ spl3_96
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f1333,f221,f639]) ).
fof(f2565,plain,
( ~ spl3_81
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f1382,f481,f572]) ).
fof(f2566,plain,
( ~ spl3_5
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f2087,f546,f221]) ).
fof(f2568,plain,
( spl3_101
| ~ spl3_15
| ~ spl3_25 ),
inference(avatar_split_clause,[],[f1900,f310,f265,f663]) ).
fof(f2571,plain,
( ~ spl3_91
| spl3_11
| ~ spl3_25 ),
inference(avatar_split_clause,[],[f1903,f310,f248,f616]) ).
fof(f2704,plain,
( e0 != op(e2,e2)
| spl3_1
| ~ spl3_5
| ~ spl3_87 ),
inference(superposition,[],[f1337,f600]) ).
fof(f2705,plain,
( $false
| spl3_1
| ~ spl3_5
| ~ spl3_87 ),
inference(forward_subsumption_resolution,[],[f2704,f222]) ).
fof(f2706,plain,
( spl3_1
| ~ spl3_5
| ~ spl3_87 ),
inference(avatar_contradiction_clause,[],[f2705]) ).
fof(f2712,plain,
( e2 = op(e2,e2)
| ~ spl3_45
| ~ spl3_63 ),
inference(superposition,[],[f411,f496]) ).
fof(f2713,plain,
( $false
| ~ spl3_45
| ~ spl3_63
| spl3_85 ),
inference(forward_subsumption_resolution,[],[f2712,f591]) ).
fof(f2714,plain,
( ~ spl3_45
| ~ spl3_63
| spl3_85 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2779,plain,
( e1 != op(e3,e2)
| ~ spl3_30
| spl3_31 ),
inference(superposition,[],[f340,f335]) ).
fof(f2801,plain,
( e1 = op(e3,e3)
| ~ spl3_46
| ~ spl3_58 ),
inference(superposition,[],[f416,f474]) ).
fof(f2811,plain,
( e0 = op(e2,e2)
| ~ spl3_51
| ~ spl3_87 ),
inference(superposition,[],[f441,f600]) ).
fof(f2816,plain,
( e2 = op(e1,e1)
| ~ spl3_53
| ~ spl3_92 ),
inference(superposition,[],[f451,f623]) ).
fof(f2817,plain,
( $false
| spl3_7
| ~ spl3_53
| ~ spl3_92 ),
inference(forward_subsumption_resolution,[],[f2816,f232]) ).
fof(f2818,plain,
( spl3_7
| ~ spl3_53
| ~ spl3_92 ),
inference(avatar_contradiction_clause,[],[f2817]) ).
fof(f2819,plain,
( $false
| spl3_4
| ~ spl3_5
| ~ spl3_91
| ~ spl3_92 ),
inference(forward_subsumption_resolution,[],[f1736,f623]) ).
fof(f2820,plain,
( spl3_4
| ~ spl3_5
| ~ spl3_91
| ~ spl3_92 ),
inference(avatar_contradiction_clause,[],[f2819]) ).
fof(f2822,plain,
( ~ spl3_30
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f1381,f481,f334]) ).
fof(f2832,plain,
( e1 != op(e0,e2)
| ~ spl3_5
| spl3_31 ),
inference(superposition,[],[f340,f222]) ).
fof(f2835,plain,
( ~ spl3_91
| ~ spl3_5
| spl3_31 ),
inference(avatar_split_clause,[],[f2832,f338,f221,f616]) ).
fof(f2841,plain,
( e0 = op(e2,e2)
| ~ spl3_12
| ~ spl3_43 ),
inference(superposition,[],[f401,f253]) ).
fof(f2920,plain,
( e0 = op(e2,e1)
| ~ spl3_1
| ~ spl3_31 ),
inference(superposition,[],[f205,f339]) ).
fof(f2922,plain,
( e3 != op(e2,e1)
| ~ spl3_31
| spl3_32 ),
inference(superposition,[],[f345,f339]) ).
fof(f2923,plain,
( $false
| ~ spl3_1
| ~ spl3_31
| spl3_96 ),
inference(forward_subsumption_resolution,[],[f2920,f640]) ).
fof(f2924,plain,
( ~ spl3_1
| ~ spl3_31
| spl3_96 ),
inference(avatar_contradiction_clause,[],[f2923]) ).
fof(f2932,plain,
( e1 = op(e2,e1)
| ~ spl3_4
| ~ spl3_31 ),
inference(superposition,[],[f218,f339]) ).
fof(f2959,plain,
( e3 = op(e3,e3)
| ~ spl3_48
| ~ spl3_60 ),
inference(superposition,[],[f426,f483]) ).
fof(f2960,plain,
( $false
| ~ spl3_48
| spl3_56
| ~ spl3_60 ),
inference(forward_subsumption_resolution,[],[f2959,f465]) ).
fof(f2961,plain,
( ~ spl3_48
| spl3_56
| ~ spl3_60 ),
inference(avatar_contradiction_clause,[],[f2960]) ).
fof(f2964,plain,
( spl3_92
| ~ spl3_4
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f2932,f338,f217,f621]) ).
fof(f2965,plain,
( spl3_5
| ~ spl3_12
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f2841,f399,f252,f221]) ).
fof(f2970,plain,
( spl3_2
| ~ spl3_46
| ~ spl3_64 ),
inference(avatar_split_clause,[],[f2220,f498,f414,f208]) ).
fof(f2972,plain,
( ~ spl3_80
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f2100,f563,f567]) ).
fof(f2973,plain,
( ~ spl3_105
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f2103,f563,f682]) ).
fof(f2974,plain,
( ~ spl3_95
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f2117,f630,f634]) ).
fof(f3092,plain,
( e0 != op(e1,e2)
| ~ spl3_2
| spl3_35 ),
inference(superposition,[],[f362,f209]) ).
fof(f3097,plain,
( e1 = op(e2,e0)
| ~ spl3_4
| ~ spl3_35 ),
inference(superposition,[],[f218,f361]) ).
fof(f3098,plain,
( e0 != op(e2,e0)
| spl3_1
| ~ spl3_35 ),
inference(superposition,[],[f206,f361]) ).
fof(f3100,plain,
( e3 != op(e2,e0)
| spl3_32
| ~ spl3_35 ),
inference(superposition,[],[f345,f361]) ).
fof(f3103,plain,
( $false
| ~ spl3_4
| ~ spl3_35
| spl3_93 ),
inference(forward_subsumption_resolution,[],[f3097,f626]) ).
fof(f3104,plain,
( ~ spl3_4
| ~ spl3_35
| spl3_93 ),
inference(avatar_contradiction_clause,[],[f3103]) ).
fof(f3105,plain,
( ~ spl3_79
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f1358,f287,f563]) ).
fof(f3109,plain,
( ~ spl3_97
| spl3_1
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f3098,f360,f204,f643]) ).
fof(f3110,plain,
( ~ spl3_84
| spl3_32
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f3100,f360,f343,f585]) ).
fof(f3151,plain,
( e1 != op(e0,e1)
| ~ spl3_71 ),
inference(superposition,[],[f128,f530]) ).
fof(f3156,plain,
( ~ spl3_103
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f3151,f528,f672]) ).
fof(f3186,plain,
( e0 = op(e2,e0)
| ~ spl3_1
| ~ spl3_35 ),
inference(superposition,[],[f205,f361]) ).
fof(f3190,plain,
( e1 != op(e2,e0)
| spl3_4
| ~ spl3_35 ),
inference(superposition,[],[f219,f361]) ).
fof(f3194,plain,
( e0 != op(e3,e1)
| spl3_16
| ~ spl3_28 ),
inference(superposition,[],[f272,f325]) ).
fof(f3217,plain,
( e0 = op(e1,e1)
| ~ spl3_47
| ~ spl3_71 ),
inference(superposition,[],[f421,f530]) ).
fof(f3218,plain,
( $false
| spl3_10
| ~ spl3_47
| ~ spl3_71 ),
inference(forward_subsumption_resolution,[],[f3217,f245]) ).
fof(f3219,plain,
( spl3_10
| ~ spl3_47
| ~ spl3_71 ),
inference(avatar_contradiction_clause,[],[f3218]) ).
fof(f3224,plain,
( e3 = op(e1,e1)
| ~ spl3_52
| ~ spl3_73 ),
inference(superposition,[],[f446,f539]) ).
fof(f3225,plain,
( e2 = op(e2,e2)
| ~ spl3_53
| ~ spl3_88 ),
inference(superposition,[],[f451,f605]) ).
fof(f3226,plain,
( $false
| ~ spl3_53
| spl3_85
| ~ spl3_88 ),
inference(forward_subsumption_resolution,[],[f3225,f591]) ).
fof(f3227,plain,
( ~ spl3_53
| spl3_85
| ~ spl3_88 ),
inference(avatar_contradiction_clause,[],[f3226]) ).
fof(f3228,plain,
( ~ spl3_82
| spl3_3
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f1575,f221,f212,f576]) ).
fof(f3233,plain,
( ~ spl3_2
| ~ spl3_69 ),
inference(avatar_split_clause,[],[f1249,f520,f208]) ).
fof(f3324,plain,
( e3 = op(e1,e1)
| ~ spl3_40
| ~ spl3_74 ),
inference(superposition,[],[f386,f543]) ).
fof(f3325,plain,
( $false
| spl3_21
| ~ spl3_40
| ~ spl3_74 ),
inference(forward_subsumption_resolution,[],[f3324,f294]) ).
fof(f3326,plain,
( spl3_21
| ~ spl3_40
| ~ spl3_74 ),
inference(avatar_contradiction_clause,[],[f3325]) ).
fof(f3328,plain,
( $false
| spl3_21
| ~ spl3_52
| ~ spl3_73 ),
inference(forward_subsumption_resolution,[],[f3224,f294]) ).
fof(f3329,plain,
( spl3_21
| ~ spl3_52
| ~ spl3_73 ),
inference(avatar_contradiction_clause,[],[f3328]) ).
fof(f3330,plain,
( ~ spl3_102
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1477,f524,f668]) ).
fof(f3331,plain,
( ~ spl3_74
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f1248,f537,f541]) ).
fof(f3333,plain,
( ~ spl3_83
| ~ spl3_31
| spl3_32 ),
inference(avatar_split_clause,[],[f2922,f343,f338,f581]) ).
fof(f3335,plain,
( ~ spl3_81
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f2043,f334,f572]) ).
fof(f3336,plain,
( spl3_27
| ~ spl3_30
| ~ spl3_49 ),
inference(avatar_split_clause,[],[f2353,f429,f334,f320]) ).
fof(f3340,plain,
( ~ spl3_7
| ~ spl3_88 ),
inference(avatar_split_clause,[],[f1521,f603,f230]) ).
fof(f3356,plain,
( e2 != op(e3,e0)
| ~ spl3_27 ),
inference(superposition,[],[f112,f321]) ).
fof(f3357,plain,
( e2 != op(e2,e3)
| ~ spl3_27 ),
inference(superposition,[],[f133,f321]) ).
fof(f3359,plain,
( e2 != op(e0,e3)
| ~ spl3_27 ),
inference(superposition,[],[f136,f321]) ).
fof(f3366,plain,
( e0 != op(e2,e3)
| ~ spl3_27
| spl3_34 ),
inference(superposition,[],[f356,f321]) ).
fof(f3370,plain,
( ~ spl3_75
| ~ spl3_27
| spl3_34 ),
inference(avatar_split_clause,[],[f3366,f354,f320,f546]) ).
fof(f3373,plain,
( ~ spl3_63
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f3357,f320,f494]) ).
fof(f3375,plain,
( ~ spl3_74
| spl3_19
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f1726,f354,f283,f541]) ).
fof(f3387,plain,
( e0 != op(e3,e2)
| ~ spl3_30
| spl3_35 ),
inference(superposition,[],[f362,f335]) ).
fof(f3408,plain,
( e1 != op(e3,e1)
| ~ spl3_72 ),
inference(superposition,[],[f111,f535]) ).
fof(f3410,plain,
( e1 != op(e2,e2)
| ~ spl3_72 ),
inference(superposition,[],[f139,f535]) ).
fof(f3411,plain,
( e1 != op(e1,e2)
| ~ spl3_72 ),
inference(superposition,[],[f140,f535]) ).
fof(f3412,plain,
( e1 != op(e0,e2)
| ~ spl3_72 ),
inference(superposition,[],[f142,f535]) ).
fof(f3416,plain,
( ~ spl3_91
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3412,f533,f616]) ).
fof(f3418,plain,
( ~ spl3_73
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3408,f533,f537]) ).
fof(f3469,plain,
( e1 != op(e2,e3)
| ~ spl3_27
| spl3_28 ),
inference(superposition,[],[f326,f321]) ).
fof(f3481,plain,
( e0 != op(e1,e1)
| spl3_6
| ~ spl3_10
| ~ spl3_103 ),
inference(superposition,[],[f1442,f674]) ).
fof(f3482,plain,
( $false
| spl3_6
| ~ spl3_10
| ~ spl3_103 ),
inference(forward_subsumption_resolution,[],[f3481,f244]) ).
fof(f3483,plain,
( spl3_6
| ~ spl3_10
| ~ spl3_103 ),
inference(avatar_contradiction_clause,[],[f3482]) ).
fof(f3502,plain,
( e0 != op(e2,e1)
| spl3_1
| ~ spl3_30
| ~ spl3_72 ),
inference(superposition,[],[f2045,f535]) ).
fof(f3510,plain,
( e1 != op(e2,e1)
| spl3_4
| ~ spl3_30
| ~ spl3_72 ),
inference(superposition,[],[f2048,f535]) ).
fof(f3511,plain,
( e3 = op(e2,e2)
| ~ spl3_27
| ~ spl3_44 ),
inference(superposition,[],[f406,f321]) ).
fof(f3512,plain,
( op(e0,e0) = e2
| ~ spl3_45
| ~ spl3_75 ),
inference(superposition,[],[f411,f548]) ).
fof(f3515,plain,
( e3 = op(e1,e1)
| ~ spl3_48
| ~ spl3_72 ),
inference(superposition,[],[f426,f535]) ).
fof(f3516,plain,
( $false
| spl3_21
| ~ spl3_48
| ~ spl3_72 ),
inference(forward_subsumption_resolution,[],[f3515,f294]) ).
fof(f3517,plain,
( spl3_21
| ~ spl3_48
| ~ spl3_72 ),
inference(avatar_contradiction_clause,[],[f3516]) ).
fof(f3518,plain,
( e1 = op(e1,e1)
| ~ spl3_46
| ~ spl3_70 ),
inference(superposition,[],[f416,f526]) ).
fof(f3519,plain,
( $false
| ~ spl3_46
| ~ spl3_70
| spl3_102 ),
inference(forward_subsumption_resolution,[],[f3518,f669]) ).
fof(f3520,plain,
( ~ spl3_46
| ~ spl3_70
| spl3_102 ),
inference(avatar_contradiction_clause,[],[f3519]) ).
fof(f3523,plain,
( $false
| spl3_17
| ~ spl3_46
| ~ spl3_58 ),
inference(forward_subsumption_resolution,[],[f2801,f276]) ).
fof(f3524,plain,
( spl3_17
| ~ spl3_46
| ~ spl3_58 ),
inference(avatar_contradiction_clause,[],[f3523]) ).
fof(f3526,plain,
( ~ spl3_12
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f2285,f658,f252]) ).
fof(f3527,plain,
( spl3_30
| ~ spl3_27
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f3511,f404,f320,f334]) ).
fof(f3528,plain,
( spl3_12
| ~ spl3_45
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f3512,f546,f409,f252]) ).
fof(f3533,plain,
( ~ spl3_72
| ~ spl3_30
| spl3_31 ),
inference(avatar_split_clause,[],[f2779,f338,f334,f533]) ).
fof(f3534,plain,
( ~ spl3_96
| spl3_1
| ~ spl3_30
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3502,f533,f334,f204,f639]) ).
fof(f3535,plain,
( ~ spl3_78
| ~ spl3_30
| spl3_35 ),
inference(avatar_split_clause,[],[f3387,f360,f334,f559]) ).
fof(f3536,plain,
( ~ spl3_2
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3410,f533,f208]) ).
fof(f3540,plain,
( ~ spl3_69
| ~ spl3_27
| spl3_28 ),
inference(avatar_split_clause,[],[f3469,f324,f320,f520]) ).
fof(f3544,plain,
( ~ spl3_10
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f2115,f630,f243]) ).
fof(f3545,plain,
( ~ spl3_68
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f3356,f320,f515]) ).
fof(f3546,plain,
( ~ spl3_65
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f3359,f320,f502]) ).
fof(f3677,plain,
( ~ spl3_94
| ~ spl3_2
| spl3_35 ),
inference(avatar_split_clause,[],[f3092,f360,f208,f630]) ).
fof(f3762,plain,
( e3 = op(e2,e2)
| ~ spl3_40
| ~ spl3_68 ),
inference(superposition,[],[f386,f517]) ).
fof(f3765,plain,
( ~ spl3_92
| spl3_4
| ~ spl3_30
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3510,f533,f334,f217,f621]) ).
fof(f3767,plain,
( spl3_30
| ~ spl3_40
| ~ spl3_68 ),
inference(avatar_split_clause,[],[f3762,f515,f384,f334]) ).
fof(f3809,plain,
( op(e0,e0) = e2
| ~ spl3_41
| ~ spl3_97 ),
inference(superposition,[],[f391,f645]) ).
fof(f3810,plain,
( $false
| spl3_12
| ~ spl3_41
| ~ spl3_97 ),
inference(forward_subsumption_resolution,[],[f3809,f254]) ).
fof(f3811,plain,
( spl3_12
| ~ spl3_41
| ~ spl3_97 ),
inference(avatar_contradiction_clause,[],[f3810]) ).
fof(f3812,plain,
( ~ spl3_81
| ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f1972,f212,f208,f572]) ).
fof(f3819,plain,
( spl3_24
| ~ spl3_52
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f2170,f563,f444,f306]) ).
fof(f3827,plain,
( ~ spl3_10
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f2102,f563,f243]) ).
fof(f3828,plain,
( ~ spl3_75
| spl3_1
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f1890,f212,f204,f546]) ).
fof(f3831,plain,
( spl3_7
| ~ spl3_2
| ~ spl3_49 ),
inference(avatar_split_clause,[],[f1977,f429,f208,f230]) ).
fof(f3832,plain,
( ~ spl3_100
| spl3_14
| ~ spl3_33 ),
inference(avatar_split_clause,[],[f2448,f348,f261,f658]) ).
fof(f3833,plain,
( ~ spl3_15
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f1503,f541,f265]) ).
fof(f3835,plain,
( spl3_5
| ~ spl3_51
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f2811,f598,f439,f221]) ).
fof(f3942,plain,
( e3 = op(e0,e2)
| ~ spl3_3
| ~ spl3_5 ),
inference(superposition,[],[f213,f222]) ).
fof(f3945,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| spl3_82 ),
inference(forward_subsumption_resolution,[],[f3942,f577]) ).
fof(f3946,plain,
( ~ spl3_3
| ~ spl3_5
| spl3_82 ),
inference(avatar_contradiction_clause,[],[f3945]) ).
fof(f3983,plain,
( op(e0,e0) = e1
| ~ spl3_42
| ~ spl3_106 ),
inference(superposition,[],[f396,f689]) ).
fof(f3984,plain,
( $false
| spl3_15
| ~ spl3_42
| ~ spl3_106 ),
inference(forward_subsumption_resolution,[],[f3983,f267]) ).
fof(f3985,plain,
( spl3_15
| ~ spl3_42
| ~ spl3_106 ),
inference(avatar_contradiction_clause,[],[f3984]) ).
fof(f3993,plain,
( op(e0,e0) = e2
| ~ spl3_5
| ~ spl3_49 ),
inference(superposition,[],[f431,f222]) ).
fof(f3994,plain,
( $false
| ~ spl3_5
| spl3_12
| ~ spl3_49 ),
inference(forward_subsumption_resolution,[],[f3993,f254]) ).
fof(f3995,plain,
( ~ spl3_5
| spl3_12
| ~ spl3_49 ),
inference(avatar_contradiction_clause,[],[f3994]) ).
fof(f3997,plain,
( e1 = op(e3,e3)
| ~ spl3_50
| ~ spl3_81 ),
inference(superposition,[],[f436,f574]) ).
fof(f3998,plain,
( $false
| spl3_17
| ~ spl3_50
| ~ spl3_81 ),
inference(forward_subsumption_resolution,[],[f3997,f276]) ).
fof(f3999,plain,
( spl3_17
| ~ spl3_50
| ~ spl3_81 ),
inference(avatar_contradiction_clause,[],[f3998]) ).
fof(f4003,plain,
( e2 = op(e3,e3)
| ~ spl3_53
| ~ spl3_83 ),
inference(superposition,[],[f451,f583]) ).
fof(f4008,plain,
( spl3_27
| ~ spl3_53
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f4003,f581,f449,f320]) ).
fof(f4010,plain,
( spl3_97
| ~ spl3_1
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f3186,f360,f204,f643]) ).
fof(f4011,plain,
( ~ spl3_93
| spl3_4
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f3190,f360,f217,f625]) ).
fof(f4012,plain,
( ~ spl3_24
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f1375,f476,f306]) ).
fof(f4013,plain,
( ~ spl3_24
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f1830,f489,f306]) ).
fof(f4016,plain,
( ~ spl3_79
| spl3_16
| ~ spl3_28 ),
inference(avatar_split_clause,[],[f3194,f324,f270,f563]) ).
fof(f4156,plain,
( e2 = op(e1,e1)
| ~ spl3_45
| ~ spl3_69 ),
inference(superposition,[],[f411,f522]) ).
fof(f4157,plain,
( $false
| spl3_7
| ~ spl3_45
| ~ spl3_69 ),
inference(forward_subsumption_resolution,[],[f4156,f232]) ).
fof(f4158,plain,
( spl3_7
| ~ spl3_45
| ~ spl3_69 ),
inference(avatar_contradiction_clause,[],[f4157]) ).
fof(f4162,plain,
( ~ spl3_90
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f3411,f533,f612]) ).
fof(f4275,plain,
( e0 = op(e3,e3)
| ~ spl3_47
| ~ spl3_59 ),
inference(superposition,[],[f421,f478]) ).
fof(f4276,plain,
( $false
| spl3_20
| ~ spl3_47
| ~ spl3_59 ),
inference(forward_subsumption_resolution,[],[f4275,f289]) ).
fof(f4277,plain,
( spl3_20
| ~ spl3_47
| ~ spl3_59 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4282,plain,
( e1 = op(e2,e2)
| ~ spl3_50
| ~ spl3_86 ),
inference(superposition,[],[f436,f596]) ).
fof(f4283,plain,
( $false
| spl3_2
| ~ spl3_50
| ~ spl3_86 ),
inference(forward_subsumption_resolution,[],[f4282,f210]) ).
fof(f4284,plain,
( spl3_2
| ~ spl3_50
| ~ spl3_86 ),
inference(avatar_contradiction_clause,[],[f4283]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f215]) ).
cnf(s2,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f224]) ).
cnf(s4,plain,
( ~ spl3_8
| ~ spl3_9
| ~ spl3_10 ),
inference(sat_conversion,[],[f246]) ).
cnf(s9,plain,
( ~ spl3_6
| ~ spl3_21
| ~ spl3_22 ),
inference(sat_conversion,[],[f299]) ).
cnf(s10,plain,
( ~ spl3_10
| ~ spl3_22
| ~ spl3_23 ),
inference(sat_conversion,[],[f304]) ).
cnf(s11,plain,
( ~ spl3_11
| ~ spl3_24
| ~ spl3_25 ),
inference(sat_conversion,[],[f313]) ).
cnf(s13,plain,
( ~ spl3_16
| ~ spl3_27
| ~ spl3_28 ),
inference(sat_conversion,[],[f327]) ).
cnf(s15,plain,
( ~ spl3_1
| ~ spl3_30
| ~ spl3_31 ),
inference(sat_conversion,[],[f341]) ).
cnf(s16,plain,
( ~ spl3_5
| ~ spl3_31
| ~ spl3_32 ),
inference(sat_conversion,[],[f346]) ).
cnf(s17,plain,
( ~ spl3_14
| ~ spl3_24
| ~ spl3_33 ),
inference(sat_conversion,[],[f351]) ).
cnf(s19,plain,
( ~ spl3_19
| ~ spl3_27
| ~ spl3_34 ),
inference(sat_conversion,[],[f357]) ).
cnf(s21,plain,
( ~ spl3_4
| ~ spl3_30
| ~ spl3_35 ),
inference(sat_conversion,[],[f363]) ).
cnf(s22,plain,
( ~ spl3_2
| ~ spl3_32
| ~ spl3_35 ),
inference(sat_conversion,[],[f364]) ).
cnf(s25,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_40 ),
inference(sat_conversion,[],[f387]) ).
cnf(s26,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_41 ),
inference(sat_conversion,[],[f392]) ).
cnf(s27,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_42 ),
inference(sat_conversion,[],[f397]) ).
cnf(s28,plain,
( spl3_37
| spl3_38
| spl3_39
| spl3_43 ),
inference(sat_conversion,[],[f402]) ).
cnf(s29,plain,
( ~ spl3_37
| spl3_44 ),
inference(sat_conversion,[],[f407]) ).
cnf(s30,plain,
( ~ spl3_37
| spl3_45 ),
inference(sat_conversion,[],[f412]) ).
cnf(s31,plain,
( ~ spl3_37
| spl3_46 ),
inference(sat_conversion,[],[f417]) ).
cnf(s32,plain,
( ~ spl3_37
| spl3_47 ),
inference(sat_conversion,[],[f422]) ).
cnf(s33,plain,
( ~ spl3_38
| spl3_48 ),
inference(sat_conversion,[],[f427]) ).
cnf(s34,plain,
( ~ spl3_38
| spl3_49 ),
inference(sat_conversion,[],[f432]) ).
cnf(s35,plain,
( ~ spl3_38
| spl3_50 ),
inference(sat_conversion,[],[f437]) ).
cnf(s36,plain,
( ~ spl3_38
| spl3_51 ),
inference(sat_conversion,[],[f442]) ).
cnf(s37,plain,
( ~ spl3_39
| spl3_52 ),
inference(sat_conversion,[],[f447]) ).
cnf(s38,plain,
( ~ spl3_39
| spl3_53 ),
inference(sat_conversion,[],[f452]) ).
cnf(s41,plain,
( spl3_56
| spl3_57
| spl3_58
| spl3_59 ),
inference(sat_conversion,[],[f479]) ).
cnf(s42,plain,
( spl3_56
| spl3_60
| spl3_61
| spl3_62 ),
inference(sat_conversion,[],[f492]) ).
cnf(s43,plain,
( spl3_27
| spl3_63
| spl3_64
| spl3_65 ),
inference(sat_conversion,[],[f505]) ).
cnf(s45,plain,
( spl3_17
| spl3_69
| spl3_70
| spl3_71 ),
inference(sat_conversion,[],[f531]) ).
cnf(s46,plain,
( spl3_17
| spl3_72
| spl3_73
| spl3_74 ),
inference(sat_conversion,[],[f544]) ).
cnf(s49,plain,
( spl3_30
| spl3_60
| spl3_81
| spl3_82 ),
inference(sat_conversion,[],[f579]) ).
cnf(s50,plain,
( spl3_30
| spl3_57
| spl3_83
| spl3_84 ),
inference(sat_conversion,[],[f588]) ).
cnf(s51,plain,
( spl3_66
| spl3_85
| spl3_86
| spl3_87 ),
inference(sat_conversion,[],[f601]) ).
cnf(s52,plain,
( spl3_63
| spl3_85
| spl3_88
| spl3_89 ),
inference(sat_conversion,[],[f610]) ).
cnf(s53,plain,
( spl3_2
| spl3_72
| spl3_90
| spl3_91 ),
inference(sat_conversion,[],[f619]) ).
cnf(s54,plain,
( spl3_2
| spl3_69
| spl3_92
| spl3_93 ),
inference(sat_conversion,[],[f628]) ).
cnf(s56,plain,
( spl3_5
| spl3_75
| spl3_96
| spl3_97 ),
inference(sat_conversion,[],[f646]) ).
cnf(s57,plain,
( spl3_21
| spl3_61
| spl3_83
| spl3_98 ),
inference(sat_conversion,[],[f651]) ).
cnf(s58,plain,
( spl3_21
| spl3_58
| spl3_81
| spl3_99 ),
inference(sat_conversion,[],[f656]) ).
cnf(s59,plain,
( spl3_7
| spl3_67
| spl3_88
| spl3_100 ),
inference(sat_conversion,[],[f661]) ).
cnf(s61,plain,
( spl3_73
| spl3_92
| spl3_102
| spl3_103 ),
inference(sat_conversion,[],[f675]) ).
cnf(s62,plain,
( spl3_70
| spl3_90
| spl3_102
| spl3_104 ),
inference(sat_conversion,[],[f680]) ).
cnf(s63,plain,
( spl3_10
| spl3_79
| spl3_96
| spl3_105 ),
inference(sat_conversion,[],[f685]) ).
cnf(s67,plain,
( spl3_12
| spl3_68
| spl3_89
| spl3_101 ),
inference(sat_conversion,[],[f693]) ).
cnf(s68,plain,
( spl3_12
| spl3_65
| spl3_87
| spl3_100 ),
inference(sat_conversion,[],[f694]) ).
cnf(s69,plain,
( spl3_15
| spl3_74
| spl3_93
| spl3_104 ),
inference(sat_conversion,[],[f695]) ).
cnf(s70,plain,
( spl3_15
| spl3_71
| spl3_91
| spl3_103 ),
inference(sat_conversion,[],[f696]) ).
cnf(s71,plain,
( spl3_80
| spl3_97
| spl3_106
| spl3_107 ),
inference(sat_conversion,[],[f701]) ).
cnf(s72,plain,
( spl3_77
| spl3_95
| spl3_105
| spl3_107 ),
inference(sat_conversion,[],[f702]) ).
cnf(s74,plain,
( spl3_60
| spl3_66
| spl3_72
| spl3_78 ),
inference(sat_conversion,[],[f704]) ).
cnf(s75,plain,
( spl3_61
| spl3_67
| spl3_73
| spl3_79 ),
inference(sat_conversion,[],[f705]) ).
cnf(s76,plain,
( spl3_62
| spl3_68
| spl3_74
| spl3_80 ),
inference(sat_conversion,[],[f706]) ).
cnf(s77,plain,
( spl3_57
| spl3_63
| spl3_69
| spl3_75 ),
inference(sat_conversion,[],[f707]) ).
cnf(s78,plain,
( spl3_2
| spl3_5
| spl3_30
| spl3_85 ),
inference(sat_conversion,[],[f708]) ).
cnf(s79,plain,
( spl3_83
| spl3_88
| spl3_92
| spl3_96 ),
inference(sat_conversion,[],[f709]) ).
cnf(s80,plain,
( spl3_84
| spl3_89
| spl3_93
| spl3_97 ),
inference(sat_conversion,[],[f710]) ).
cnf(s81,plain,
( spl3_58
| spl3_64
| spl3_70
| spl3_76 ),
inference(sat_conversion,[],[f711]) ).
cnf(s82,plain,
( spl3_81
| spl3_86
| spl3_90
| spl3_94 ),
inference(sat_conversion,[],[f712]) ).
cnf(s83,plain,
( spl3_7
| spl3_10
| spl3_21
| spl3_102 ),
inference(sat_conversion,[],[f713]) ).
cnf(s84,plain,
( spl3_99
| spl3_101
| spl3_104
| spl3_106 ),
inference(sat_conversion,[],[f714]) ).
cnf(s85,plain,
( spl3_59
| spl3_65
| spl3_71
| spl3_77 ),
inference(sat_conversion,[],[f715]) ).
cnf(s86,plain,
( spl3_82
| spl3_87
| spl3_91
| spl3_95 ),
inference(sat_conversion,[],[f716]) ).
cnf(s87,plain,
( spl3_98
| spl3_100
| spl3_103
| spl3_105 ),
inference(sat_conversion,[],[f717]) ).
cnf(s88,plain,
( spl3_12
| spl3_15
| spl3_24
| spl3_107 ),
inference(sat_conversion,[],[f718]) ).
cnf(s90,plain,
( ~ spl3_2
| ~ spl3_5 ),
inference(sat_conversion,[],[f724]) ).
cnf(s92,plain,
( ~ spl3_7
| ~ spl3_10 ),
inference(sat_conversion,[],[f731]) ).
cnf(s94,plain,
( ~ spl3_12
| ~ spl3_15 ),
inference(sat_conversion,[],[f738]) ).
cnf(s96,plain,
( ~ spl3_63
| ~ spl3_69 ),
inference(sat_conversion,[],[f746]) ).
cnf(s104,plain,
( ~ spl3_63
| ~ spl3_75 ),
inference(sat_conversion,[],[f777]) ).
cnf(s108,plain,
( ~ spl3_65
| ~ spl3_77 ),
inference(sat_conversion,[],[f794]) ).
cnf(s110,plain,
( ~ spl3_27
| ~ spl3_56 ),
inference(sat_conversion,[],[f801]) ).
cnf(s118,plain,
( ~ spl3_5
| ~ spl3_85 ),
inference(sat_conversion,[],[f837]) ).
cnf(s126,plain,
( ~ spl3_71
| ~ spl3_77 ),
inference(sat_conversion,[],[f865]) ).
cnf(s132,plain,
( ~ spl3_7
| ~ spl3_21 ),
inference(sat_conversion,[],[f887]) ).
cnf(s134,plain,
( ~ spl3_12
| ~ spl3_24 ),
inference(sat_conversion,[],[f895]) ).
cnf(s146,plain,
( ~ spl3_17
| ~ spl3_27 ),
inference(sat_conversion,[],[f944]) ).
cnf(s148,plain,
( ~ spl3_17
| ~ spl3_56 ),
inference(sat_conversion,[],[f952]) ).
cnf(s154,plain,
( ~ spl3_60
| ~ spl3_72 ),
inference(sat_conversion,[],[f984]) ).
cnf(s168,plain,
( ~ spl3_7
| ~ spl3_102 ),
inference(sat_conversion,[],[f1052]) ).
cnf(s172,plain,
( ~ spl3_10
| ~ spl3_102 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s178,plain,
( ~ spl3_81
| ~ spl3_90 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s180,plain,
( ~ spl3_30
| ~ spl3_85 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s184,plain,
( ~ spl3_5
| ~ spl3_30 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s186,plain,
( ~ spl3_57
| ~ spl3_75 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s190,plain,
( ~ spl3_65
| ~ spl3_71 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s194,plain,
( ~ spl3_17
| ~ spl3_20 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s198,plain,
( ~ spl3_69
| ~ spl3_75 ),
inference(sat_conversion,[],[f1188]) ).
cnf(s202,plain,
( ~ spl3_98
| ~ spl3_105 ),
inference(sat_conversion,[],[f1224]) ).
cnf(s206,plain,
( ~ spl3_15
| ~ spl3_107 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s207,plain,
( ~ spl3_85
| ~ spl3_88 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s208,plain,
( ~ spl3_7
| ~ spl3_101 ),
inference(sat_conversion,[],[f1263]) ).
cnf(s209,plain,
( ~ spl3_85
| ~ spl3_86 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s215,plain,
( ~ spl3_105
| ~ spl3_107 ),
inference(sat_conversion,[],[f1324]) ).
cnf(s218,plain,
( ~ spl3_56
| ~ spl3_61 ),
inference(sat_conversion,[],[f1327]) ).
cnf(s222,plain,
( ~ spl3_24
| ~ spl3_82 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s223,plain,
( ~ spl3_24
| ~ spl3_99 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s224,plain,
( ~ spl3_5
| ~ spl3_95 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s225,plain,
( ~ spl3_5
| ~ spl3_94 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s226,plain,
( ~ spl3_5
| ~ spl3_97 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s227,plain,
( ~ spl3_65
| ~ spl3_87 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s229,plain,
( ~ spl3_85
| ~ spl3_87 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s233,plain,
( ~ spl3_97
| ~ spl3_106 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s240,plain,
( ~ spl3_20
| ~ spl3_76 ),
inference(sat_conversion,[],[f1368]) ).
cnf(s248,plain,
( ~ spl3_2
| ~ spl3_93 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s249,plain,
( ~ spl3_2
| ~ spl3_92 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s253,plain,
( ~ spl3_57
| ~ spl3_83 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s254,plain,
( ~ spl3_61
| ~ spl3_83 ),
inference(sat_conversion,[],[f1416]) ).
cnf(s257,plain,
( ~ spl3_64
| ~ spl3_86 ),
inference(sat_conversion,[],[f1426]) ).
cnf(s267,plain,
( ~ spl3_57
| ~ spl3_58 ),
inference(sat_conversion,[],[f1429]) ).
cnf(s283,plain,
( ~ spl3_10
| spl3_22
| ~ spl3_100 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s284,plain,
( ~ spl3_10
| ~ spl3_105 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s285,plain,
( ~ spl3_10
| ~ spl3_106 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s292,plain,
( ~ spl3_66
| ~ spl3_86 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s294,plain,
( ~ spl3_66
| ~ spl3_68 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s295,plain,
( ~ spl3_70
| ~ spl3_71 ),
inference(sat_conversion,[],[f1482]) ).
cnf(s308,plain,
( ~ spl3_88
| ~ spl3_100 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s309,plain,
( ~ spl3_88
| ~ spl3_89 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s314,plain,
( spl3_4
| ~ spl3_5
| ~ spl3_69
| ~ spl3_82 ),
inference(sat_conversion,[],[f1574]) ).
cnf(s316,plain,
( ~ spl3_74
| ~ spl3_104 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s318,plain,
( ~ spl3_24
| ~ spl3_84 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s319,plain,
( spl3_13
| ~ spl3_24
| ~ spl3_107 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s325,plain,
( ~ spl3_70
| ~ spl3_90 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s326,plain,
( ~ spl3_70
| ~ spl3_104 ),
inference(sat_conversion,[],[f1585]) ).
cnf(s329,plain,
( spl3_8
| ~ spl3_10
| ~ spl3_98 ),
inference(sat_conversion,[],[f1587]) ).
cnf(s340,plain,
( ~ spl3_10
| ~ spl3_76 ),
inference(sat_conversion,[],[f1596]) ).
cnf(s345,plain,
( ~ spl3_17
| ~ spl3_74 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s346,plain,
( ~ spl3_17
| ~ spl3_72 ),
inference(sat_conversion,[],[f1614]) ).
cnf(s347,plain,
( ~ spl3_24
| spl3_33
| ~ spl3_74 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s348,plain,
( ~ spl3_24
| spl3_25
| ~ spl3_68 ),
inference(sat_conversion,[],[f1623]) ).
cnf(s354,plain,
( ~ spl3_81
| ~ spl3_82 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s356,plain,
( ~ spl3_91
| ~ spl3_103 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s358,plain,
( ~ spl3_92
| ~ spl3_103 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s360,plain,
( ~ spl3_92
| ~ spl3_93 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s363,plain,
( ~ spl3_102
| ~ spl3_103 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s364,plain,
( ~ spl3_102
| ~ spl3_104 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s367,plain,
( ~ spl3_13
| ~ spl3_24
| spl3_62 ),
inference(sat_conversion,[],[f1718]) ).
cnf(s373,plain,
( ~ spl3_52
| spl3_56
| ~ spl3_61 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s375,plain,
( spl3_27
| ~ spl3_45
| ~ spl3_57 ),
inference(sat_conversion,[],[f1763]) ).
cnf(s377,plain,
( spl3_30
| ~ spl3_48
| ~ spl3_66 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s379,plain,
( ~ spl3_17
| ~ spl3_73 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s381,plain,
( ~ spl3_21
| ~ spl3_81 ),
inference(sat_conversion,[],[f1778]) ).
cnf(s385,plain,
( ~ spl3_17
| spl3_21
| ~ spl3_44 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s386,plain,
( spl3_15
| ~ spl3_46
| ~ spl3_76 ),
inference(sat_conversion,[],[f1784]) ).
cnf(s388,plain,
( ~ spl3_21
| ~ spl3_58 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s389,plain,
( ~ spl3_61
| ~ spl3_62 ),
inference(sat_conversion,[],[f1786]) ).
cnf(s390,plain,
( ~ spl3_21
| ~ spl3_61 ),
inference(sat_conversion,[],[f1787]) ).
cnf(s396,plain,
( ~ spl3_90
| ~ spl3_102 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s397,plain,
( ~ spl3_15
| ~ spl3_103 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s398,plain,
( spl3_24
| ~ spl3_40
| ~ spl3_80 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s409,plain,
( ~ spl3_66
| ~ spl3_67 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s416,plain,
( spl3_5
| ~ spl3_47
| ~ spl3_65 ),
inference(sat_conversion,[],[f1798]) ).
cnf(s418,plain,
( ~ spl3_78
| ~ spl3_80 ),
inference(sat_conversion,[],[f1800]) ).
cnf(s420,plain,
( ~ spl3_21
| spl3_22
| ~ spl3_67 ),
inference(sat_conversion,[],[f1817]) ).
cnf(s435,plain,
( ~ spl3_3
| spl3_30
| ~ spl3_85 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s442,plain,
( ~ spl3_96
| ~ spl3_97 ),
inference(sat_conversion,[],[f1925]) ).
cnf(s444,plain,
( ~ spl3_50
| ~ spl3_90
| spl3_102 ),
inference(sat_conversion,[],[f1955]) ).
cnf(s445,plain,
( spl3_20
| ~ spl3_51
| ~ spl3_82 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s448,plain,
( ~ spl3_2
| ~ spl3_90 ),
inference(sat_conversion,[],[f1965]) ).
cnf(s449,plain,
( spl3_2
| ~ spl3_42
| ~ spl3_101 ),
inference(sat_conversion,[],[f1966]) ).
cnf(s455,plain,
( ~ spl3_86
| ~ spl3_101 ),
inference(sat_conversion,[],[f1991]) ).
cnf(s456,plain,
( ~ spl3_89
| ~ spl3_101 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s459,plain,
( spl3_30
| ~ spl3_52
| ~ spl3_67 ),
inference(sat_conversion,[],[f2006]) ).
cnf(s469,plain,
( ~ spl3_82
| ~ spl3_98 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s478,plain,
( ~ spl3_21
| ~ spl3_83 ),
inference(sat_conversion,[],[f2010]) ).
cnf(s479,plain,
( ~ spl3_83
| ~ spl3_98 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s481,plain,
( ~ spl3_10
| ~ spl3_96 ),
inference(sat_conversion,[],[f2013]) ).
cnf(s488,plain,
( spl3_6
| ~ spl3_22
| ~ spl3_94 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s489,plain,
( ~ spl3_7
| ~ spl3_67 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s490,plain,
( ~ spl3_7
| ~ spl3_86 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s498,plain,
( ~ spl3_30
| ~ spl3_83 ),
inference(sat_conversion,[],[f2056]) ).
cnf(s499,plain,
( ~ spl3_2
| ~ spl3_30 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s513,plain,
( ~ spl3_79
| ~ spl3_96 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s515,plain,
( ~ spl3_94
| ~ spl3_106 ),
inference(sat_conversion,[],[f2121]) ).
cnf(s517,plain,
( ~ spl3_42
| spl3_102
| ~ spl3_104 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s519,plain,
( spl3_15
| ~ spl3_50
| ~ spl3_94 ),
inference(sat_conversion,[],[f2167]) ).
cnf(s538,plain,
( ~ spl3_7
| ~ spl3_64 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s540,plain,
( ~ spl3_68
| ~ spl3_89 ),
inference(sat_conversion,[],[f2179]) ).
cnf(s547,plain,
( ~ spl3_2
| spl3_4
| ~ spl3_85 ),
inference(sat_conversion,[],[f2181]) ).
cnf(s548,plain,
( ~ spl3_90
| ~ spl3_104 ),
inference(sat_conversion,[],[f2182]) ).
cnf(s555,plain,
( ~ spl3_8
| spl3_9
| ~ spl3_64 ),
inference(sat_conversion,[],[f2184]) ).
cnf(s575,plain,
( ~ spl3_7
| ~ spl3_100 ),
inference(sat_conversion,[],[f2306]) ).
cnf(s585,plain,
( ~ spl3_75
| ~ spl3_77 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s587,plain,
( spl3_10
| ~ spl3_15
| ~ spl3_43 ),
inference(sat_conversion,[],[f2310]) ).
cnf(s589,plain,
( spl3_7
| ~ spl3_41
| ~ spl3_93 ),
inference(sat_conversion,[],[f2312]) ).
cnf(s600,plain,
( ~ spl3_30
| ~ spl3_84 ),
inference(sat_conversion,[],[f2314]) ).
cnf(s608,plain,
( ~ spl3_76
| ~ spl3_77 ),
inference(sat_conversion,[],[f2318]) ).
cnf(s621,plain,
( ~ spl3_62
| ~ spl3_99 ),
inference(sat_conversion,[],[f2323]) ).
cnf(s624,plain,
( ~ spl3_67
| ~ spl3_100 ),
inference(sat_conversion,[],[f2325]) ).
cnf(s627,plain,
( ~ spl3_12
| ~ spl3_89 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s629,plain,
( ~ spl3_15
| ~ spl3_91 ),
inference(sat_conversion,[],[f2328]) ).
cnf(s633,plain,
( ~ spl3_21
| ~ spl3_99 ),
inference(sat_conversion,[],[f2331]) ).
cnf(s634,plain,
( ~ spl3_21
| ~ spl3_98 ),
inference(sat_conversion,[],[f2332]) ).
cnf(s636,plain,
( ~ spl3_21
| ~ spl3_22
| spl3_67 ),
inference(sat_conversion,[],[f2333]) ).
cnf(s671,plain,
( ~ spl3_87
| ~ spl3_100 ),
inference(sat_conversion,[],[f2402]) ).
cnf(s683,plain,
( spl3_12
| ~ spl3_53
| ~ spl3_96 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s701,plain,
( spl3_3
| ~ spl3_30
| ~ spl3_85 ),
inference(sat_conversion,[],[f2498]) ).
cnf(s707,plain,
( ~ spl3_22
| spl3_23
| ~ spl3_81 ),
inference(sat_conversion,[],[f2499]) ).
cnf(s714,plain,
( spl3_24
| ~ spl3_48
| ~ spl3_78 ),
inference(sat_conversion,[],[f2561]) ).
cnf(s715,plain,
( ~ spl3_5
| ~ spl3_96 ),
inference(sat_conversion,[],[f2562]) ).
cnf(s723,plain,
( ~ spl3_60
| ~ spl3_81 ),
inference(sat_conversion,[],[f2565]) ).
cnf(s726,plain,
( ~ spl3_5
| ~ spl3_75 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s733,plain,
( ~ spl3_15
| ~ spl3_25
| spl3_101 ),
inference(sat_conversion,[],[f2568]) ).
cnf(s742,plain,
( spl3_11
| ~ spl3_25
| ~ spl3_91 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s804,plain,
( spl3_1
| ~ spl3_5
| ~ spl3_87 ),
inference(sat_conversion,[],[f2706]) ).
cnf(s805,plain,
( ~ spl3_45
| ~ spl3_63
| spl3_85 ),
inference(sat_conversion,[],[f2714]) ).
cnf(s854,plain,
( spl3_7
| ~ spl3_53
| ~ spl3_92 ),
inference(sat_conversion,[],[f2818]) ).
cnf(s857,plain,
( spl3_4
| ~ spl3_5
| ~ spl3_91
| ~ spl3_92 ),
inference(sat_conversion,[],[f2820]) ).
cnf(s879,plain,
( ~ spl3_30
| ~ spl3_60 ),
inference(sat_conversion,[],[f2822]) ).
cnf(s900,plain,
( ~ spl3_5
| spl3_31
| ~ spl3_91 ),
inference(sat_conversion,[],[f2835]) ).
cnf(s913,plain,
( ~ spl3_1
| ~ spl3_31
| spl3_96 ),
inference(sat_conversion,[],[f2924]) ).
cnf(s914,plain,
( ~ spl3_48
| spl3_56
| ~ spl3_60 ),
inference(sat_conversion,[],[f2961]) ).
cnf(s962,plain,
( ~ spl3_4
| ~ spl3_31
| spl3_92 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s963,plain,
( spl3_5
| ~ spl3_12
| ~ spl3_43 ),
inference(sat_conversion,[],[f2965]) ).
cnf(s1006,plain,
( spl3_2
| ~ spl3_46
| ~ spl3_64 ),
inference(sat_conversion,[],[f2970]) ).
cnf(s1018,plain,
( ~ spl3_79
| ~ spl3_80 ),
inference(sat_conversion,[],[f2972]) ).
cnf(s1020,plain,
( ~ spl3_79
| ~ spl3_105 ),
inference(sat_conversion,[],[f2973]) ).
cnf(s1025,plain,
( ~ spl3_94
| ~ spl3_95 ),
inference(sat_conversion,[],[f2974]) ).
cnf(s1058,plain,
( ~ spl3_4
| ~ spl3_35
| spl3_93 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s1060,plain,
( ~ spl3_20
| ~ spl3_79 ),
inference(sat_conversion,[],[f3105]) ).
cnf(s1098,plain,
( spl3_1
| ~ spl3_35
| ~ spl3_97 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s1099,plain,
( spl3_32
| ~ spl3_35
| ~ spl3_84 ),
inference(sat_conversion,[],[f3110]) ).
cnf(s1108,plain,
( ~ spl3_71
| ~ spl3_103 ),
inference(sat_conversion,[],[f3156]) ).
cnf(s1114,plain,
( spl3_10
| ~ spl3_47
| ~ spl3_71 ),
inference(sat_conversion,[],[f3219]) ).
cnf(s1115,plain,
( ~ spl3_53
| spl3_85
| ~ spl3_88 ),
inference(sat_conversion,[],[f3227]) ).
cnf(s1120,plain,
( spl3_3
| ~ spl3_5
| ~ spl3_82 ),
inference(sat_conversion,[],[f3228]) ).
cnf(s1148,plain,
( ~ spl3_2
| ~ spl3_69 ),
inference(sat_conversion,[],[f3233]) ).
cnf(s1171,plain,
( spl3_21
| ~ spl3_40
| ~ spl3_74 ),
inference(sat_conversion,[],[f3326]) ).
cnf(s1180,plain,
( spl3_21
| ~ spl3_52
| ~ spl3_73 ),
inference(sat_conversion,[],[f3329]) ).
cnf(s1189,plain,
( ~ spl3_70
| ~ spl3_102 ),
inference(sat_conversion,[],[f3330]) ).
cnf(s1190,plain,
( ~ spl3_73
| ~ spl3_74 ),
inference(sat_conversion,[],[f3331]) ).
cnf(s1197,plain,
( ~ spl3_31
| spl3_32
| ~ spl3_83 ),
inference(sat_conversion,[],[f3333]) ).
cnf(s1216,plain,
( ~ spl3_30
| ~ spl3_81 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s1220,plain,
( spl3_27
| ~ spl3_30
| ~ spl3_49 ),
inference(sat_conversion,[],[f3336]) ).
cnf(s1250,plain,
( ~ spl3_7
| ~ spl3_88 ),
inference(sat_conversion,[],[f3340]) ).
cnf(s1304,plain,
( ~ spl3_27
| spl3_34
| ~ spl3_75 ),
inference(sat_conversion,[],[f3370]) ).
cnf(s1307,plain,
( ~ spl3_27
| ~ spl3_63 ),
inference(sat_conversion,[],[f3373]) ).
cnf(s1312,plain,
( spl3_19
| ~ spl3_34
| ~ spl3_74 ),
inference(sat_conversion,[],[f3375]) ).
cnf(s1326,plain,
( ~ spl3_72
| ~ spl3_91 ),
inference(sat_conversion,[],[f3416]) ).
cnf(s1328,plain,
( ~ spl3_72
| ~ spl3_73 ),
inference(sat_conversion,[],[f3418]) ).
cnf(s1335,plain,
( spl3_6
| ~ spl3_10
| ~ spl3_103 ),
inference(sat_conversion,[],[f3483]) ).
cnf(s1338,plain,
( spl3_21
| ~ spl3_48
| ~ spl3_72 ),
inference(sat_conversion,[],[f3517]) ).
cnf(s1339,plain,
( ~ spl3_46
| ~ spl3_70
| spl3_102 ),
inference(sat_conversion,[],[f3520]) ).
cnf(s1355,plain,
( spl3_17
| ~ spl3_46
| ~ spl3_58 ),
inference(sat_conversion,[],[f3524]) ).
cnf(s1372,plain,
( ~ spl3_12
| ~ spl3_100 ),
inference(sat_conversion,[],[f3526]) ).
cnf(s1378,plain,
( ~ spl3_27
| spl3_30
| ~ spl3_44 ),
inference(sat_conversion,[],[f3527]) ).
cnf(s1379,plain,
( spl3_12
| ~ spl3_45
| ~ spl3_75 ),
inference(sat_conversion,[],[f3528]) ).
cnf(s1402,plain,
( ~ spl3_30
| spl3_31
| ~ spl3_72 ),
inference(sat_conversion,[],[f3533]) ).
cnf(s1405,plain,
( spl3_1
| ~ spl3_30
| ~ spl3_72
| ~ spl3_96 ),
inference(sat_conversion,[],[f3534]) ).
cnf(s1406,plain,
( ~ spl3_30
| spl3_35
| ~ spl3_78 ),
inference(sat_conversion,[],[f3535]) ).
cnf(s1435,plain,
( ~ spl3_2
| ~ spl3_72 ),
inference(sat_conversion,[],[f3536]) ).
cnf(s1459,plain,
( ~ spl3_27
| spl3_28
| ~ spl3_69 ),
inference(sat_conversion,[],[f3540]) ).
cnf(s1582,plain,
( ~ spl3_10
| ~ spl3_94 ),
inference(sat_conversion,[],[f3544]) ).
cnf(s1595,plain,
( ~ spl3_27
| ~ spl3_68 ),
inference(sat_conversion,[],[f3545]) ).
cnf(s1596,plain,
( ~ spl3_27
| ~ spl3_65 ),
inference(sat_conversion,[],[f3546]) ).
cnf(s1640,plain,
( ~ spl3_2
| spl3_35
| ~ spl3_94 ),
inference(sat_conversion,[],[f3677]) ).
cnf(s1699,plain,
( spl3_4
| ~ spl3_30
| ~ spl3_72
| ~ spl3_92 ),
inference(sat_conversion,[],[f3765]) ).
cnf(s1711,plain,
( spl3_30
| ~ spl3_40
| ~ spl3_68 ),
inference(sat_conversion,[],[f3767]) ).
cnf(s1717,plain,
( spl3_12
| ~ spl3_41
| ~ spl3_97 ),
inference(sat_conversion,[],[f3811]) ).
cnf(s1720,plain,
( ~ spl3_2
| spl3_3
| ~ spl3_81 ),
inference(sat_conversion,[],[f3812]) ).
cnf(s1738,plain,
( spl3_24
| ~ spl3_52
| ~ spl3_79 ),
inference(sat_conversion,[],[f3819]) ).
cnf(s1759,plain,
( ~ spl3_10
| ~ spl3_79 ),
inference(sat_conversion,[],[f3827]) ).
cnf(s1765,plain,
( spl3_1
| ~ spl3_3
| ~ spl3_75 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s1781,plain,
( ~ spl3_2
| spl3_7
| ~ spl3_49 ),
inference(sat_conversion,[],[f3831]) ).
cnf(s1806,plain,
( spl3_14
| ~ spl3_33
| ~ spl3_100 ),
inference(sat_conversion,[],[f3832]) ).
cnf(s1808,plain,
( ~ spl3_15
| ~ spl3_74 ),
inference(sat_conversion,[],[f3833]) ).
cnf(s1824,plain,
( spl3_5
| ~ spl3_51
| ~ spl3_87 ),
inference(sat_conversion,[],[f3835]) ).
cnf(s1871,plain,
( ~ spl3_3
| ~ spl3_5
| spl3_82 ),
inference(sat_conversion,[],[f3946]) ).
cnf(s1873,plain,
( spl3_15
| ~ spl3_42
| ~ spl3_106 ),
inference(sat_conversion,[],[f3985]) ).
cnf(s1874,plain,
( ~ spl3_5
| spl3_12
| ~ spl3_49 ),
inference(sat_conversion,[],[f3995]) ).
cnf(s1875,plain,
( spl3_17
| ~ spl3_50
| ~ spl3_81 ),
inference(sat_conversion,[],[f3999]) ).
cnf(s1900,plain,
( spl3_27
| ~ spl3_53
| ~ spl3_83 ),
inference(sat_conversion,[],[f4008]) ).
cnf(s1926,plain,
( ~ spl3_1
| ~ spl3_35
| spl3_97 ),
inference(sat_conversion,[],[f4010]) ).
cnf(s1927,plain,
( spl3_4
| ~ spl3_35
| ~ spl3_93 ),
inference(sat_conversion,[],[f4011]) ).
cnf(s1932,plain,
( ~ spl3_24
| ~ spl3_59 ),
inference(sat_conversion,[],[f4012]) ).
cnf(s1940,plain,
( ~ spl3_24
| ~ spl3_62 ),
inference(sat_conversion,[],[f4013]) ).
cnf(s1988,plain,
( spl3_16
| ~ spl3_28
| ~ spl3_79 ),
inference(sat_conversion,[],[f4016]) ).
cnf(s2006,plain,
( spl3_7
| ~ spl3_45
| ~ spl3_69 ),
inference(sat_conversion,[],[f4158]) ).
cnf(s2026,plain,
( ~ spl3_72
| ~ spl3_90 ),
inference(sat_conversion,[],[f4162]) ).
cnf(s2065,plain,
( spl3_20
| ~ spl3_47
| ~ spl3_59 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s2066,plain,
( spl3_2
| ~ spl3_50
| ~ spl3_86 ),
inference(sat_conversion,[],[f4284]) ).
cnf(s2068,plain,
( ~ spl3_53
| spl3_88
| spl3_27
| spl3_92
| spl3_12 ),
inference(rat,[],[s79,s683,s1900]) ).
cnf(s2069,plain,
( ~ spl3_50
| spl3_86
| spl3_90
| spl3_17
| spl3_15 ),
inference(rat,[],[s82,s519,s1875]) ).
cnf(s2072,plain,
( spl3_39
| spl3_38
| spl3_37
| spl3_104
| spl3_21
| spl3_15
| spl3_7 ),
inference(rat,[],[s69,s1171,s589,s25,s26]) ).
cnf(s2074,plain,
( ~ spl3_39
| spl3_105
| spl3_24
| spl3_12
| spl3_10 ),
inference(rat,[],[s63,s1738,s683,s37,s38]) ).
cnf(s2075,plain,
( ~ spl3_50
| spl3_90
| spl3_17
| spl3_15
| spl3_2 ),
inference(rat,[],[s2069,s2066]) ).
cnf(s2076,plain,
( spl3_30
| spl3_61
| ~ spl3_52
| spl3_68
| spl3_65
| spl3_73
| spl3_14
| spl3_12
| spl3_5
| spl3_2 ),
inference(rat,[],[s76,s347,s1940,s1806,s1738,s1018,s68,s75,s229,s459,s78]) ).
cnf(s2078,plain,
( ~ spl3_42
| spl3_102
| spl3_99
| spl3_15
| spl3_2 ),
inference(rat,[],[s84,s517,s449,s1873]) ).
cnf(s2079,plain,
( ~ spl3_53
| spl3_83
| spl3_12
| spl3_7 ),
inference(rat,[],[s1115,s207,s79,s683,s854]) ).
cnf(s2082,plain,
( spl3_39
| spl3_38
| spl3_37
| spl3_74
| spl3_15
| spl3_7 ),
inference(rat,[],[s517,s364,s69,s589,s26,s27]) ).
cnf(s2083,plain,
( ~ spl3_53
| spl3_27
| spl3_12
| spl3_7 ),
inference(rat,[],[s2079,s1900]) ).
cnf(s2084,plain,
( ~ spl3_38
| ~ spl3_17
| spl3_11
| spl3_2 ),
inference(rat,[],[s348,s76,s742,s1940,s53,s714,s418,s178,s74,s49,s377,s914,s1220,s445,s33,s34,s36,s346,s345,s194,s148,s146]) ).
cnf(s2087,plain,
( ~ spl3_90
| ~ spl3_50 ),
inference(rat,[],[s396,s444]) ).
cnf(s2088,plain,
( ~ spl3_38
| spl3_94
| spl3_86
| spl3_11
| spl3_2 ),
inference(rat,[],[s2087,s82,s1875,s2084,s35]) ).
cnf(s2090,plain,
( spl3_39
| spl3_38
| spl3_37
| spl3_10
| spl3_7
| spl3_2 ),
inference(rat,[],[s633,s84,s1171,s316,s2082,s449,s1873,s587,s25,s27,s28]) ).
cnf(s2091,plain,
( ~ spl3_39
| ~ spl3_14
| spl3_12
| spl3_7 ),
inference(rat,[],[s347,s76,s17,s1940,s1738,s1018,s75,s1180,s459,s1595,s254,s478,s498,s2083,s2079,s37,s38]) ).
cnf(s2093,plain,
( ~ spl3_70
| ~ spl3_46 ),
inference(rat,[],[s1189,s1339]) ).
cnf(s2094,plain,
( ~ spl3_37
| spl3_10
| spl3_7 ),
inference(rat,[],[s41,s375,s2065,s388,s385,s146,s148,s194,s45,s2093,s2006,s1114,s29,s30,s31,s32]) ).
cnf(s2095,plain,
( ~ spl3_39
| spl3_12
| spl3_7
| spl3_5
| spl3_2 ),
inference(rat,[],[s2076,s1180,s1595,s1596,s254,s478,s498,s2083,s2079,s2091,s37,s38]) ).
cnf(s2096,plain,
( ~ spl3_38
| spl3_11
| spl3_6
| spl3_5
| spl3_2 ),
inference(rat,[],[s75,s1060,s420,s390,s445,s1338,s1328,s86,s53,s629,s488,s1025,s2075,s2088,s2087,s2066,s1824,s2084,s33,s35,s36]) ).
cnf(s2097,plain,
( spl3_30
| ~ spl3_39
| spl3_7
| spl3_5
| spl3_2 ),
inference(rat,[],[s59,s207,s459,s78,s37,s1372,s2095]) ).
cnf(s2098,plain,
( ~ spl3_39
| spl3_7
| spl3_5
| spl3_4
| spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s1406,s1927,s74,s54,s1405,s409,s96,s79,s59,s52,s1115,s498,s701,s879,s2097,s627,s1372,s854,s2095,s38]) ).
cnf(s2099,plain,
( ~ spl3_17
| ~ spl3_11
| ~ spl3_48
| ~ spl3_49 ),
inference(rat,[],[s76,s348,s11,s1940,s714,s418,s74,s377,s1220,s914,s146,s148,s345,s346]) ).
cnf(s2100,plain,
( spl3_91
| spl3_22
| spl3_95
| spl3_90
| spl3_87
| ~ spl3_48
| ~ spl3_51
| spl3_2 ),
inference(rat,[],[s1060,s75,s445,s420,s390,s86,s1338,s1328,s53]) ).
cnf(s2101,plain,
( ~ spl3_38
| spl3_6
| spl3_5
| spl3_2 ),
inference(rat,[],[s629,s2075,s2100,s488,s1025,s82,s1875,s2099,s2087,s2066,s1824,s2096,s33,s34,s35,s36]) ).
cnf(s2102,plain,
( spl3_10
| spl3_39
| spl3_7
| spl3_38
| spl3_2 ),
inference(rat,[],[s2090,s2094]) ).
cnf(s2103,plain,
( spl3_37
| spl3_104
| ~ spl3_100
| spl3_39
| spl3_7
| spl3_38
| spl3_2 ),
inference(rat,[],[s398,s223,s71,s84,s206,s1717,s449,s2072,s25,s26,s27,s285,s1372,s636,s283,s2102,s624]) ).
cnf(s2104,plain,
( ~ spl3_90
| ~ spl3_100
| spl3_39
| spl3_7
| spl3_38
| spl3_2 ),
inference(rat,[],[s1355,s81,s385,s1006,s29,s31,s2103,s325,s548,s340,s636,s283,s2102,s624]) ).
cnf(s2105,plain,
( spl3_98
| spl3_103
| spl3_39
| spl3_7
| spl3_38
| spl3_5
| spl3_4
| spl3_2
| spl3_1 ),
inference(rat,[],[s316,s2072,s76,s30,s540,s1379,s80,s56,s1098,s1406,s418,s629,s74,s53,s389,s1699,s360,s57,s79,s498,s600,s879,s78,s209,s292,s82,s2104,s707,s10,s636,s283,s308,s624,s1372,s87,s1582,s481,s284,s2102]) ).
cnf(s2106,plain,
( spl3_37
| spl3_21
| spl3_39
| spl3_7
| spl3_38
| spl3_5
| spl3_2 ),
inference(rat,[],[s71,s398,s206,s223,s2072,s84,s1717,s517,s449,s963,s25,s26,s27,s28,s285,s172,s2102]) ).
cnf(s2107,plain,
( spl3_7
| spl3_6
| spl3_5
| spl3_4
| spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s1355,s81,s385,s2093,s29,s31,s2106,s555,s4,s329,s634,s2105,s340,s1335,s2102,s2098,s2101]) ).
cnf(s2108,plain,
( spl3_39
| spl3_37
| spl3_10
| spl3_21
| spl3_102
| spl3_88
| spl3_38
| spl3_4
| spl3_2
| spl3_1 ),
inference(rat,[],[s1405,s74,s79,s1406,s498,s879,s1711,s294,s76,s398,s1927,s360,s223,s621,s69,s2078,s1171,s517,s587,s25,s27,s28]) ).
cnf(s2109,plain,
( spl3_24
| spl3_12
| spl3_15
| ~ spl3_39
| spl3_10 ),
inference(rat,[],[s215,s2074,s88]) ).
cnf(s2110,plain,
( spl3_90
| spl3_57
| spl3_77
| spl3_104
| ~ spl3_24
| ~ spl3_53
| ~ spl3_7 ),
inference(rat,[],[s1900,s1596,s50,s85,s1216,s295,s82,s62,s490,s168,s1932,s318,s515,s84,s208,s223]) ).
cnf(s2111,plain,
( spl3_104
| spl3_17
| ~ spl3_24
| spl3_96
| ~ spl3_39
| ~ spl3_7
| spl3_5 ),
inference(rat,[],[s19,s1312,s1304,s43,s190,s45,s46,s325,s2026,s2110,s104,s186,s198,s585,s56,s233,s84,s538,s208,s38,s1180,s37,s132,s223]) ).
cnf(s2112,plain,
( ~ spl3_92
| ~ spl3_72
| spl3_12
| spl3_15
| spl3_100
| spl3_5
| spl3_4
| spl3_2 ),
inference(rat,[],[s68,s229,s190,s78,s70,s1699,s358,s1326]) ).
cnf(s2113,plain,
( ~ spl3_72
| spl3_62
| spl3_12
| spl3_15
| ~ spl3_53
| ~ spl3_7
| spl3_5
| spl3_4
| spl3_2 ),
inference(rat,[],[s42,s254,s110,s79,s2068,s2112,s154,s1250,s575,s683]) ).
cnf(s2114,plain,
( spl3_104
| spl3_12
| spl3_15
| ~ spl3_39
| ~ spl3_7
| spl3_5 ),
inference(rat,[],[s360,s2068,s69,s146,s345,s2111,s1250,s683,s38,s2109,s92]) ).
cnf(s2115,plain,
( spl3_12
| spl3_15
| ~ spl3_39
| ~ spl3_7
| spl3_5
| spl3_4
| spl3_2 ),
inference(rat,[],[s267,s58,s50,s723,s879,s42,s1900,s373,s146,s148,s46,s316,s2114,s2113,s223,s318,s1940,s2109,s92,s38,s1180,s37,s132]) ).
cnf(s2116,plain,
( ~ spl3_61
| ~ spl3_52 ),
inference(rat,[],[s373,s218]) ).
cnf(s2117,plain,
( ~ spl3_39
| ~ spl3_7
| spl3_5
| spl3_4
| spl3_2 ),
inference(rat,[],[s348,s76,s733,s1808,s2115,s134,s1940,s1738,s1018,s75,s2116,s1180,s37,s489,s208,s132]) ).
cnf(s2118,plain,
( spl3_6
| spl3_5
| spl3_4
| spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s2065,s85,s240,s608,s81,s1355,s385,s2093,s416,s1114,s29,s31,s32,s2108,s2117,s92,s132,s168,s538,s1250,s2107,s2101]) ).
cnf(s2119,plain,
( spl3_15
| ~ spl3_38
| spl3_2 ),
inference(rat,[],[s2099,s2088,s2069,s519,s34,s33,s2066,s2087,s35]) ).
cnf(s2120,plain,
( ~ spl3_38
| ~ spl3_6
| spl3_5
| spl3_2 ),
inference(rat,[],[s1025,s2100,s82,s9,s1875,s1338,s346,s53,s629,s2119,s2087,s2066,s1824,s33,s35,s36]) ).
cnf(s2121,plain,
( spl3_37
| spl3_39
| spl3_7
| spl3_38
| spl3_5
| spl3_2 ),
inference(rat,[],[s84,s517,s449,s633,s27,s2106,s285,s172,s2102]) ).
cnf(s2122,plain,
( spl3_7
| spl3_5
| spl3_4
| spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s385,s1355,s388,s81,s2093,s1006,s29,s31,s2121,s340,s2102,s2098,s2120,s2118]) ).
cnf(s2123,plain,
( spl3_5
| spl3_4
| spl3_1
| spl3_3
| spl3_2 ),
inference(rat,[],[s2065,s85,s240,s608,s81,s1355,s385,s2093,s416,s1114,s29,s31,s32,s2108,s2117,s92,s132,s168,s538,s1250,s2122,s2120,s2118]) ).
cnf(s2124,plain,
( spl3_4
| spl3_3
| spl3_1
| spl3_2 ),
inference(rat,[],[s81,s1355,s2093,s31,s2082,s555,s4,s379,s1190,s329,s61,s87,s172,s284,s340,s2102,s38,s1115,s308,s1250,s79,s1197,s16,s2119,s900,s857,s356,s629,s86,s118,s224,s715,s804,s1120,s2123]) ).
cnf(s2125,plain,
( ~ spl3_37
| spl3_76
| spl3_2 ),
inference(rat,[],[s385,s1355,s388,s81,s2093,s1006,s29,s31]) ).
cnf(s2126,plain,
( spl3_38
| spl3_39
| spl3_7
| spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s2072,s629,s633,s86,s84,s224,s804,s1120,s517,s449,s2121,s27,s2125,s172,s285,s340,s2102]) ).
cnf(s2127,plain,
( spl3_5
| ~ spl3_38
| spl3_2 ),
inference(rat,[],[s2120,s2101]) ).
cnf(s2128,plain,
( ~ spl3_38
| spl3_2 ),
inference(rat,[],[s2127,s1874,s94,s2119,s34]) ).
cnf(s2129,plain,
( spl3_5
| ~ spl3_39
| spl3_7
| ~ spl3_4
| spl3_3
| spl3_2 ),
inference(rat,[],[s409,s74,s59,s1406,s1115,s1372,s1402,s21,s701,s879,s2095,s2097,s962,s854,s38]) ).
cnf(s2130,plain,
( spl3_7
| spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s86,s900,s224,s804,s1120,s2129,s962,s854,s38,s2126,s2128,s2124]) ).
cnf(s2131,plain,
( spl3_37
| spl3_39
| spl3_10
| spl3_21
| spl3_102
| ~ spl3_4
| spl3_2 ),
inference(rat,[],[s1406,s74,s1402,s21,s879,s1711,s294,s962,s76,s360,s398,s69,s223,s621,s1171,s2078,s517,s587,s25,s27,s28,s2128]) ).
cnf(s2132,plain,
( ~ spl3_37
| spl3_5
| spl3_10
| spl3_2 ),
inference(rat,[],[s2065,s85,s240,s608,s416,s1114,s2125,s32]) ).
cnf(s2133,plain,
( spl3_15
| ~ spl3_39
| spl3_5
| ~ spl3_7
| spl3_2 ),
inference(rat,[],[s1216,s82,s78,s1025,s229,s72,s68,s126,s190,s70,s742,s358,s11,s2068,s348,s1595,s76,s316,s548,s2114,s1250,s575,s490,s38,s1020,s1018,s134,s319,s367,s1940,s1738,s75,s1180,s132,s489,s2116,s37]) ).
cnf(s2134,plain,
( spl3_5
| ~ spl3_7
| ~ spl3_4
| spl3_2 ),
inference(rat,[],[s348,s76,s733,s1808,s2133,s1940,s1738,s1018,s75,s1180,s2116,s37,s2131,s2132,s489,s208,s168,s132,s92]) ).
cnf(s2135,plain,
( ~ spl3_37
| spl3_15
| spl3_2 ),
inference(rat,[],[s386,s2125,s31]) ).
cnf(s2136,plain,
( spl3_3
| spl3_2
| spl3_1 ),
inference(rat,[],[s72,s108,s319,s68,s367,s134,s1940,s1738,s202,s75,s57,s1180,s2116,s37,s2131,s2135,s1197,s16,s900,s629,s86,s224,s804,s1120,s2134,s92,s132,s168,s489,s575,s2130,s2124]) ).
cnf(s2137,plain,
( spl3_39
| spl3_7
| ~ spl3_3
| spl3_2 ),
inference(rat,[],[s358,s54,s87,s2103,s314,s469,s589,s517,s2,s1871,s26,s27,s2121,s2125,s172,s284,s340,s2102,s2128]) ).
cnf(s2138,plain,
( spl3_5
| spl3_7
| spl3_2
| spl3_1 ),
inference(rat,[],[s21,s1927,s1406,s74,s54,s1405,s409,s96,s79,s59,s52,s1115,s627,s1372,s180,s498,s879,s2095,s2097,s854,s38,s2137,s2136]) ).
cnf(s2139,plain,
( spl3_7
| spl3_2
| spl3_1 ),
inference(rat,[],[s478,s1180,s79,s75,s1738,s1115,s459,s222,s118,s184,s715,s1871,s2138,s2116,s854,s37,s38,s2137,s2136]) ).
cnf(s2140,plain,
( spl3_5
| spl3_39
| spl3_2
| spl3_1 ),
inference(rat,[],[s2108,s2132,s2134,s2128,s1250,s168,s132,s92,s2139]) ).
cnf(s2141,plain,
( spl3_39
| spl3_2
| spl3_1 ),
inference(rat,[],[s45,s385,s1114,s325,s29,s32,s82,s2108,s314,s354,s2,s225,s1871,s2140,s2128,s2136,s1250,s490,s168,s132,s92,s2139]) ).
cnf(s2142,plain,
( spl3_5
| spl3_2
| ~ spl3_7
| ~ spl3_39 ),
inference(rat,[],[s2134,s2117]) ).
cnf(s2143,plain,
( spl3_2
| spl3_1 ),
inference(rat,[],[s2142,s1871,s222,s1738,s75,s1180,s2116,s37,s2141,s132,s489,s2139,s2136]) ).
cnf(s2144,plain,
( spl3_10
| spl3_21
| spl3_38
| spl3_7
| spl3_39 ),
inference(rat,[],[s2072,s587,s364,s28,s83,s2094]) ).
cnf(s2145,plain,
( spl3_37
| spl3_101
| spl3_21
| spl3_38
| spl3_7
| spl3_39
| spl3_5 ),
inference(rat,[],[s398,s71,s223,s206,s84,s2072,s1717,s963,s517,s25,s26,s28,s27,s285,s172,s2144]) ).
cnf(s2146,plain,
( spl3_21
| spl3_85
| spl3_81
| spl3_7
| spl3_39
| ~ spl3_2 ),
inference(rat,[],[s43,s1378,s805,s416,s29,s30,s32,s2145,s257,s455,s82,s1582,s2144,s499,s448,s90,s34,s1781]) ).
cnf(s2147,plain,
( ~ spl3_101
| spl3_97
| spl3_81
| ~ spl3_2 ),
inference(rat,[],[s22,s1099,s1640,s82,s80,s455,s456,s448,s248]) ).
cnf(s2148,plain,
( spl3_37
| ~ spl3_21
| spl3_81
| spl3_7
| spl3_39
| ~ spl3_2 ),
inference(rat,[],[s84,s316,s1873,s2082,s587,s481,s79,s309,s67,s2147,s1711,s1717,s963,s25,s26,s28,s27,s499,s249,s90,s34,s1781,s633,s478]) ).
cnf(s2149,plain,
( spl3_85
| spl3_81
| spl3_7
| spl3_39
| ~ spl3_2 ),
inference(rat,[],[s257,s82,s43,s1582,s1378,s805,s416,s2094,s29,s30,s32,s2148,s2146,s499,s448,s90]) ).
cnf(s2150,plain,
( spl3_81
| spl3_7
| spl3_39
| ~ spl3_2 ),
inference(rat,[],[s1640,s1058,s82,s547,s209,s2149,s448,s248]) ).
cnf(s2151,plain,
( spl3_37
| ~ spl3_97
| spl3_38
| spl3_39
| spl3_5 ),
inference(rat,[],[s1717,s963,s26,s28]) ).
cnf(s2152,plain,
( spl3_7
| spl3_39
| spl3_1 ),
inference(rat,[],[s375,s77,s1378,s805,s29,s30,s2151,s56,s481,s435,s1765,s2144,s1720,s381,s2150,s34,s1781,s1148,s499,s90,s2143]) ).
cnf(s2153,plain,
( spl3_38
| spl3_37
| spl3_10
| spl3_21
| spl3_102
| spl3_39
| spl3_93 ),
inference(rat,[],[s69,s1171,s587,s517,s25,s28,s27]) ).
cnf(s2154,plain,
( ~ spl3_38
| spl3_85
| spl3_86
| ~ spl3_2 ),
inference(rat,[],[s51,s377,s1824,s33,s36,s499,s90]) ).
cnf(s2155,plain,
( ~ spl3_37
| ~ spl3_7
| spl3_69 ),
inference(rat,[],[s45,s385,s2093,s1114,s29,s31,s32,s132,s92]) ).
cnf(s2156,plain,
( spl3_39
| spl3_1 ),
inference(rat,[],[s82,s1640,s1720,s1058,s435,s547,s2154,s2153,s2155,s92,s132,s168,s490,s2152,s1148,s499,s448,s248,s2143]) ).
cnf(s2157,plain,
( spl3_21
| spl3_7
| spl3_1 ),
inference(rat,[],[s1806,s347,s87,s76,s479,s1595,s2079,s2083,s2091,s363,s134,s1940,s83,s1738,s1018,s1020,s1759,s75,s1180,s38,s2116,s459,s37,s2156,s499,s2143]) ).
cnf(s2158,plain,
( ~ spl3_88
| ~ spl3_53 ),
inference(rat,[],[s1115,s207]) ).
cnf(s2159,plain,
( spl3_7
| spl3_1 ),
inference(rat,[],[s2079,s1372,s478,s59,s2157,s459,s37,s499,s2143,s2158,s38,s2156]) ).
cnf(s2160,plain,
spl3_1,
inference(rat,[],[s45,s146,s326,s1900,s2114,s134,s79,s397,s1108,s1738,s513,s61,s75,s1180,s132,s168,s2159,s2158,s459,s2116,s37,s38,s2156,s90,s249,s499,s1148,s2143]) ).
cnf(s2161,plain,
( spl3_38
| spl3_2
| spl3_39
| spl3_7 ),
inference(rat,[],[s76,s398,s1171,s223,s621,s633,s84,s1711,s517,s449,s184,s25,s27,s2121,s2125,s172,s285,s340,s2102]) ).
cnf(s2162,plain,
( spl3_2
| spl3_39
| spl3_7 ),
inference(rat,[],[s2161,s2128]) ).
cnf(s2163,plain,
( spl3_39
| spl3_7 ),
inference(rat,[],[s1720,s2150,s1,s2162,s2160]) ).
cnf(s2164,plain,
( spl3_5
| spl3_2
| spl3_7 ),
inference(rat,[],[s1406,s74,s1926,s409,s442,s59,s79,s1372,s1402,s15,s498,s879,s2095,s2097,s854,s2158,s38,s2163,s2160]) ).
cnf(s2165,plain,
( ~ spl3_69
| ~ spl3_82
| ~ spl3_5 ),
inference(rat,[],[s2,s1120,s314]) ).
cnf(s2166,plain,
( ~ spl3_5
| spl3_7 ),
inference(rat,[],[s2165,s86,s77,s671,s1307,s59,s1900,s253,s900,s459,s79,s913,s184,s224,s715,s726,s37,s854,s2158,s38,s2163,s2160]) ).
cnf(s2167,plain,
spl3_7,
inference(rat,[],[s347,s1738,s46,s75,s1180,s478,s146,s1806,s2079,s2083,s2091,s1372,s59,s459,s499,s1435,s2164,s2166,s2116,s2158,s37,s38,s2163]) ).
cnf(s2168,plain,
~ spl3_88,
inference(rat,[],[s1250,s2167]) ).
cnf(s2170,plain,
~ spl3_64,
inference(rat,[],[s538,s2167]) ).
cnf(s2171,plain,
~ spl3_86,
inference(rat,[],[s490,s2167]) ).
cnf(s2172,plain,
~ spl3_67,
inference(rat,[],[s489,s2167]) ).
cnf(s2174,plain,
~ spl3_102,
inference(rat,[],[s168,s2167]) ).
cnf(s2175,plain,
~ spl3_21,
inference(rat,[],[s132,s2167]) ).
cnf(s2176,plain,
~ spl3_10,
inference(rat,[],[s92,s2167]) ).
cnf(s2177,plain,
( spl3_5
| spl3_2
| spl3_39 ),
inference(rat,[],[s74,s1406,s1402,s15,s879,s1711,s294,s76,s398,s223,s621,s2078,s1927,s1171,s587,s2153,s25,s28,s27,s2132,s2134,s2128,s2160,s2174,s2175,s2176,s2167]) ).
cnf(s2178,plain,
( spl3_37
| spl3_2
| spl3_39 ),
inference(rat,[],[s398,s76,s223,s621,s2078,s1711,s1171,s587,s25,s28,s27,s2128,s184,s2177,s2174,s2175,s2176]) ).
cnf(s2179,plain,
( spl3_2
| spl3_39 ),
inference(rat,[],[s227,s86,s43,s2165,s1378,s805,s2155,s29,s30,s2178,s900,s913,s118,s184,s224,s715,s2177,s2160,s2167,s2170]) ).
cnf(s2180,plain,
spl3_39,
inference(rat,[],[s1058,s547,s1640,s2154,s82,s2153,s1720,s2155,s1,s248,s448,s1148,s2179,s2171,s2175,s2174,s2176,s2167,s2160]) ).
cnf(s2183,plain,
spl3_53,
inference(rat,[],[s38,s2180]) ).
cnf(s2184,plain,
spl3_52,
inference(rat,[],[s37,s2180]) ).
cnf(s2185,plain,
~ spl3_61,
inference(rat,[],[s2116,s2184]) ).
cnf(s2186,plain,
~ spl3_73,
inference(rat,[],[s1180,s2175,s2184]) ).
cnf(s2187,plain,
spl3_79,
inference(rat,[],[s75,s2185,s2172,s2186]) ).
cnf(s2189,plain,
~ spl3_105,
inference(rat,[],[s1020,s2187]) ).
cnf(s2190,plain,
~ spl3_80,
inference(rat,[],[s1018,s2187]) ).
cnf(s2192,plain,
~ spl3_96,
inference(rat,[],[s513,s2187]) ).
cnf(s2193,plain,
spl3_24,
inference(rat,[],[s1738,s2184,s2187]) ).
cnf(s2194,plain,
~ spl3_31,
inference(rat,[],[s913,s2160,s2192]) ).
cnf(s2195,plain,
~ spl3_62,
inference(rat,[],[s1940,s2193]) ).
cnf(s2196,plain,
~ spl3_59,
inference(rat,[],[s1932,s2193]) ).
cnf(s2197,plain,
~ spl3_84,
inference(rat,[],[s318,s2193]) ).
cnf(s2200,plain,
~ spl3_12,
inference(rat,[],[s134,s2193]) ).
cnf(s2201,plain,
~ spl3_13,
inference(rat,[],[s367,s2195,s2193]) ).
cnf(s2203,plain,
~ spl3_107,
inference(rat,[],[s319,s2193,s2201]) ).
cnf(s2204,plain,
( ~ spl3_28
| ~ spl3_27 ),
inference(rat,[],[s1988,s13,s2187]) ).
cnf(s2205,plain,
( ~ spl3_69
| ~ spl3_27 ),
inference(rat,[],[s2204,s1459]) ).
cnf(s2206,plain,
( spl3_92
| spl3_75 ),
inference(rat,[],[s2205,s77,s1307,s253,s2068,s79,s2168,s2200,s2183,s2192]) ).
cnf(s2207,plain,
~ spl3_5,
inference(rat,[],[s76,s1808,s540,s70,s80,s358,s360,s2206,s126,s72,s900,s224,s226,s726,s2195,s2190,s2197,s2203,s2189,s2194]) ).
cnf(s2208,plain,
spl3_2,
inference(rat,[],[s2142,s2180,s2167,s2207]) ).
cnf(s2214,plain,
~ spl3_92,
inference(rat,[],[s249,s2208]) ).
cnf(s2219,plain,
spl3_103,
inference(rat,[],[s61,s2186,s2174,s2214]) ).
cnf(s2221,plain,
spl3_27,
inference(rat,[],[s2068,s2183,s2200,s2168,s2214]) ).
cnf(s2222,plain,
spl3_75,
inference(rat,[],[s2206,s2214]) ).
cnf(s2224,plain,
~ spl3_71,
inference(rat,[],[s1108,s2219]) ).
cnf(s2229,plain,
~ spl3_65,
inference(rat,[],[s1596,s2221]) ).
cnf(s2237,plain,
~ spl3_77,
inference(rat,[],[s585,s2222]) ).
cnf(s2245,plain,
$false,
inference(rat,[],[s85,s2237,s2196,s2224,s2229]) ).
fof(f4285,plain,
$false,
inference(avatar_sat_refutation,[],[s2245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG137+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:35:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.69/1.44 % (2934218)Detected formulas, will run a generic FOF schedule.
% 4.69/1.44 % (2934310)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3709296444:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.69/1.44 % (2934310)Refutation not found, incomplete strategy
% 4.69/1.44 % (2934310)------------------------------
% 4.69/1.44 % (2934310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.44 % (2934310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.44 % (2934310)CaDiCaL version: 2.1.3
% 4.69/1.44 % (2934310)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.44 % (2934310)Time elapsed: 0.0000 s
% 4.69/1.44 % (2934310)Peak memory usage: 86 MB
% 4.69/1.44 % (2934305)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=413068319:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.69/1.44 % (2934309)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1793948039:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.69/1.44 % (2934307)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1985014125:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.69/1.44 % (2934306)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2533944803:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.69/1.44 % (2934309)Refutation not found, incomplete strategy
% 4.69/1.44 % (2934309)------------------------------
% 4.69/1.44 % (2934309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.44 % (2934309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.44 % (2934309)CaDiCaL version: 2.1.3
% 4.69/1.44 % (2934309)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.44 % (2934309)Time elapsed: 0.001 s
% 4.69/1.44 % (2934309)Peak memory usage: 86 MB
% 4.69/1.44 % (2934312)dis-21_1_sil=8000:lcm=predicate:random_seed=1544645537:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.69/1.44 % (2934311)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3395491125:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.69/1.44 % (2934312)Refutation not found, incomplete strategy
% 4.69/1.44 % (2934312)------------------------------
% 4.69/1.44 % (2934312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.44 % (2934312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.44 % (2934312)CaDiCaL version: 2.1.3
% 4.69/1.44 % (2934312)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.44 % (2934312)Time elapsed: 0.007 s
% 4.69/1.44 % (2934312)Peak memory usage: 88 MB
% 4.69/1.44 % (2934312)Instructions burned: 12 (million)
% 4.69/1.44 % (2934311)Instruction limit reached!
% 4.69/1.44 % (2934311)------------------------------
% 4.69/1.44 % (2934311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.44 % (2934311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.44 % (2934311)CaDiCaL version: 2.1.3
% 4.69/1.44 % (2934311)Termination reason: Instruction limit
% 4.69/1.44 % (2934311)Termination phase: Saturation
% 4.69/1.44 % (2934311)Time elapsed: 0.073 s
% 4.69/1.44 % (2934311)Peak memory usage: 89 MB
% 4.69/1.44 % (2934311)Instructions burned: 140 (million)
% 4.69/1.44 % (2934310)------------------------------
% 4.69/1.44 % (2934310)------------------------------
% 4.69/1.44 % (2934309)------------------------------
% 4.69/1.44 % (2934309)------------------------------
% 4.69/1.44 % (2934376)lrs+10_1_sil=32000:urr=on:br=off:random_seed=99828695:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.69/1.44 % (2934376)Refutation not found, incomplete strategy
% 4.69/1.44 % (2934376)------------------------------
% 4.69/1.44 % (2934376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.44 % (2934376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.44 % (2934376)CaDiCaL version: 2.1.3
% 4.69/1.44 % (2934376)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.44 % (2934376)Time elapsed: 0.001 s
% 6.29/1.72 % (2934376)Peak memory usage: 87 MB
% 6.29/1.72 % (2934376)Instructions burned: 2 (million)
% 6.29/1.72 % (2934369)lrs+10_1_sil=8000:sp=occurrence:random_seed=2777896216:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.29/1.72 % (2934369)Refutation not found, incomplete strategy
% 6.29/1.72 % (2934369)------------------------------
% 6.29/1.72 % (2934369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.72 % (2934369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.72 % (2934369)CaDiCaL version: 2.1.3
% 6.29/1.72 % (2934369)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.72 % (2934369)Time elapsed: 0.001 s
% 6.29/1.72 % (2934369)Peak memory usage: 86 MB
% 6.29/1.72 % (2934312)------------------------------
% 6.29/1.72 % (2934312)------------------------------
% 6.29/1.72 [W928 19:35:03.682376351 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682411582 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682446725 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682459762 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682486596 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682498766 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682619386 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682645920 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682682407 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682694347 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682721150 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.682732384 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.684097986 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.684124926 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.684160587 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.684172783 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.684199040 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 [W928 19:35:03.684210244 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 6.29/1.72 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 6.29/1.72 % (2934376)------------------------------
% 6.29/1.72 % (2934376)------------------------------
% 6.29/1.72 % (2934398)lrs+1011_1_sil=32000:sp=occurrence:random_seed=833405081:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.29/1.72 % (2934398)Refutation not found, incomplete strategy
% 6.29/1.72 % (2934398)------------------------------
% 6.29/1.72 % (2934398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.72 % (2934398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.72 % (2934398)CaDiCaL version: 2.1.3
% 6.29/1.72 % (2934398)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.72 % (2934398)Time elapsed: 0.001 s
% 6.29/1.72 % (2934398)Peak memory usage: 86 MB
% 6.29/1.72 % (2934404)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=982405958:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.29/1.72 % (2934369)------------------------------
% 6.29/1.72 % (2934369)------------------------------
% 6.29/1.72 % (2934414)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3017485096:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.29/1.72 % (2934414)Refutation not found, incomplete strategy
% 6.29/1.72 % (2934414)------------------------------
% 6.29/1.72 % (2934414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.72 % (2934414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.72 % (2934414)CaDiCaL version: 2.1.3
% 6.29/1.72 % (2934414)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.72 % (2934414)Time elapsed: 0.0000 s
% 6.29/1.72 % (2934414)Peak memory usage: 86 MB
% 6.29/1.72 % (2934307)Refutation not found, incomplete strategy
% 6.29/1.72 % (2934307)------------------------------
% 6.29/1.72 % (2934307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.72 % (2934307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.72 % (2934307)CaDiCaL version: 2.1.3
% 6.29/1.72 % (2934307)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.72 % (2934307)Time elapsed: 0.574 s
% 6.29/1.72 % (2934307)Peak memory usage: 126 MB
% 6.29/1.72 % (2934307)Instructions burned: 845 (million)
% 6.29/1.72 % (2934404)First to succeed.
% 6.29/1.72 % (2934404)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2934218"
% 6.29/1.72 % (2934398)------------------------------
% 6.29/1.72 % (2934398)------------------------------
% 6.29/1.72 % (2934414)------------------------------
% 6.29/1.72 % (2934414)------------------------------
% 6.29/1.72 % (2934416)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4255226030:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.29/1.72 % (2934306)Also succeeded, but the first one will report.
% 6.29/1.72 % (2934305)Also succeeded, but the first one will report.
% 6.29/1.72 % (2934433)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4189791138:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 6.29/1.72 % (2934426)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=146480401:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 6.29/1.72 % (2934433)Refutation not found, incomplete strategy
% 6.29/1.72 % (2934433)------------------------------
% 6.29/1.72 % (2934433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.72 % (2934433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.72 % (2934433)CaDiCaL version: 2.1.3
% 6.29/1.72 % (2934433)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.72 % (2934433)Time elapsed: 0.001 s
% 6.29/1.72 % (2934433)Peak memory usage: 87 MB
% 6.29/1.72 % (2934433)Instructions burned: 3 (million)
% 6.29/1.72 % (2934307)------------------------------
% 6.29/1.72 % (2934307)------------------------------
% 6.29/1.72 % (2934426)Refutation not found, incomplete strategy
% 6.29/1.72 % (2934426)------------------------------
% 6.29/1.72 % (2934426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.72 % (2934426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.72 % (2934426)CaDiCaL version: 2.1.3
% 6.29/1.72 % (2934426)Termination reason: Refutation not found, incomplete strategy
% 6.29/1.72 % (2934426)Time elapsed: 0.004 s
% 6.29/1.72 % (2934426)Peak memory usage: 88 MB
% 6.29/1.72 % (2934426)Instructions burned: 8 (million)
% 6.29/1.72 % (2934404)Refutation found. Thanks to Tanya!
% 6.29/1.72 % SZS status Unsatisfiable for theBenchmark
% 6.29/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 7.82/1.91 % (2934404)------------------------------
% 7.82/1.91 % (2934404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.82/1.91 % (2934404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/1.91 % (2934404)CaDiCaL version: 2.1.3
% 7.82/1.91 % (2934404)Termination reason: Refutation
% 7.82/1.91 % (2934404)Time elapsed: 0.134 s
% 7.82/1.91 % (2934404)Peak memory usage: 91 MB
% 7.82/1.91 % (2934404)Instructions burned: 229 (million)
% 7.82/1.91 % (2934404)------------------------------
% 7.82/1.91 % (2934404)------------------------------
% 7.82/1.91 % (2934218)Success in time 1.01 s
% 7.82/1.91 % Vampire exiting
%------------------------------------------------------------------------------