TSTP Solution File: ALG170+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG170+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:34:20 EDT 2024
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 130
% Number of leaves : 16
% Syntax : Number of formulae : 496 ( 111 unt; 0 def)
% Number of atoms : 2122 (1983 equ)
% Maximal formula atoms : 250 ( 4 avg)
% Number of connectives : 2140 ( 514 ~;1238 |; 388 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8999,plain,
$false,
inference(subsumption_resolution,[],[f8998,f90]) ).
fof(f90,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f8998,plain,
e2 = e3,
inference(forward_demodulation,[],[f8997,f371]) ).
fof(f371,plain,
e2 = op(e0,e1),
inference(forward_demodulation,[],[f370,f297]) ).
fof(f297,plain,
e0 = op(e4,e1),
inference(forward_demodulation,[],[f193,f194]) ).
fof(f194,plain,
e1 = op(e4,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4)))
& e2 = op(op(e4,op(e4,e4)),op(e4,e4))
& e1 = op(e4,e4)
& e0 = op(e4,op(e4,e4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f193,plain,
e0 = op(e4,op(e4,e4)),
inference(cnf_transformation,[],[f6]) ).
fof(f370,plain,
e2 = op(op(e4,e1),e1),
inference(superposition,[],[f195,f194]) ).
fof(f195,plain,
e2 = op(op(e4,op(e4,e4)),op(e4,e4)),
inference(cnf_transformation,[],[f6]) ).
fof(f8997,plain,
e3 = op(e0,e1),
inference(subsumption_resolution,[],[f8996,f88]) ).
fof(f88,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f8996,plain,
( e1 = e3
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f8995,f8095]) ).
fof(f8095,plain,
e1 = op(e2,e1),
inference(forward_demodulation,[],[f8078,f371]) ).
fof(f8078,plain,
e1 = op(op(e0,e1),e1),
inference(superposition,[],[f202,f8067]) ).
fof(f8067,plain,
e1 = op(e1,e0),
inference(subsumption_resolution,[],[f8066,f84]) ).
fof(f84,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f8066,plain,
( e0 = e2
| e1 = op(e1,e0) ),
inference(forward_demodulation,[],[f8050,f297]) ).
fof(f8050,plain,
( e2 = op(e4,e1)
| e1 = op(e1,e0) ),
inference(superposition,[],[f2638,f8026]) ).
fof(f8026,plain,
e4 = op(e0,e2),
inference(subsumption_resolution,[],[f8025,f6467]) ).
fof(f6467,plain,
( e1 != op(e2,e1)
| e4 = op(e0,e2) ),
inference(superposition,[],[f110,f6457]) ).
fof(f6457,plain,
( e1 = op(e3,e1)
| e4 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f6456]) ).
fof(f6456,plain,
( e1 = op(e3,e1)
| e4 = op(e0,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f6332,f6375]) ).
fof(f6375,plain,
( e3 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(trivial_inequality_removal,[],[f6374]) ).
fof(f6374,plain,
( e1 != e1
| e3 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f6371]) ).
fof(f6371,plain,
( e1 != e1
| e3 = op(e2,e1)
| e4 = op(e0,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f5882,f6275]) ).
fof(f6275,plain,
( e1 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f6240,f3704]) ).
fof(f3704,plain,
( e1 = op(e2,e0)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f3691,f371]) ).
fof(f3691,plain,
( e1 = op(op(e0,e1),e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f202,f3685]) ).
fof(f3685,plain,
( e0 = op(e1,e0)
| e4 = op(e0,e2) ),
inference(trivial_inequality_removal,[],[f3681]) ).
fof(f3681,plain,
( e0 != e0
| e4 = op(e0,e2)
| e0 = op(e1,e0) ),
inference(superposition,[],[f3539,f1550]) ).
fof(f1550,plain,
( e0 = op(e2,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f1549,f85]) ).
fof(f85,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1549,plain,
( e0 = e3
| e0 = op(e2,e0)
| e0 = op(e1,e0) ),
inference(forward_demodulation,[],[f1548,f378]) ).
fof(f378,plain,
op(e0,e0) = e3,
inference(forward_demodulation,[],[f377,f297]) ).
fof(f377,plain,
e3 = op(op(e4,e1),op(e4,e1)),
inference(superposition,[],[f196,f194]) ).
fof(f196,plain,
e3 = op(op(e4,op(e4,e4)),op(e4,op(e4,e4))),
inference(cnf_transformation,[],[f6]) ).
fof(f1548,plain,
( e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1533,f384]) ).
fof(f384,plain,
e0 != op(e3,e0),
inference(superposition,[],[f175,f380]) ).
fof(f380,plain,
e0 = op(e3,e3),
inference(superposition,[],[f197,f378]) ).
fof(f197,plain,
e0 = op(op(e0,e0),op(e0,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e4 = op(op(e4,e4),op(e4,e4))
& e4 = op(op(e3,e4),op(e4,e3))
& e4 = op(op(e2,e4),op(e4,e2))
& e4 = op(op(e1,e4),op(e4,e1))
& e4 = op(op(e0,e4),op(e4,e0))
& e3 = op(op(e4,e3),op(e3,e4))
& e3 = op(op(e3,e3),op(e3,e3))
& e3 = op(op(e2,e3),op(e3,e2))
& e3 = op(op(e1,e3),op(e3,e1))
& e3 = op(op(e0,e3),op(e3,e0))
& e2 = op(op(e4,e2),op(e2,e4))
& e2 = op(op(e3,e2),op(e2,e3))
& e2 = op(op(e2,e2),op(e2,e2))
& e2 = op(op(e1,e2),op(e2,e1))
& e2 = op(op(e0,e2),op(e2,e0))
& e1 = op(op(e4,e1),op(e1,e4))
& e1 = op(op(e3,e1),op(e1,e3))
& e1 = op(op(e2,e1),op(e1,e2))
& e1 = op(op(e1,e1),op(e1,e1))
& e1 = op(op(e0,e1),op(e1,e0))
& e0 = op(op(e4,e0),op(e0,e4))
& e0 = op(op(e3,e0),op(e0,e3))
& e0 = op(op(e2,e0),op(e0,e2))
& e0 = op(op(e1,e0),op(e0,e1))
& e0 = op(op(e0,e0),op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f175,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1533,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(trivial_inequality_removal,[],[f1525]) ).
fof(f1525,plain,
( e0 != e0
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(superposition,[],[f364,f223]) ).
fof(f223,plain,
( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f364,plain,
e0 != op(e4,e0),
inference(superposition,[],[f183,f297]) ).
fof(f183,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3539,plain,
( e0 != op(e2,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f166,f3499]) ).
fof(f3499,plain,
( e0 = op(e2,e4)
| e4 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f3494]) ).
fof(f3494,plain,
( e0 = op(e2,e4)
| e4 = op(e0,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f3371,f3463]) ).
fof(f3463,plain,
( e2 = op(e4,e0)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3437,f378]) ).
fof(f3437,plain,
( op(e0,e0) != e3
| e2 = op(e4,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f96,f3388]) ).
fof(f3388,plain,
( e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3387,f92]) ).
fof(f92,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3387,plain,
( e3 = e4
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f3386,f378]) ).
fof(f3386,plain,
( e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3385,f89]) ).
fof(f89,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3385,plain,
( e1 = e4
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(forward_demodulation,[],[f3384,f2065]) ).
fof(f2065,plain,
e1 = op(e0,e3),
inference(subsumption_resolution,[],[f2064,f88]) ).
fof(f2064,plain,
( e1 = e3
| e1 = op(e0,e3) ),
inference(forward_demodulation,[],[f2063,f378]) ).
fof(f2063,plain,
( e1 = op(e0,e3)
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f2062,f87]) ).
fof(f87,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2062,plain,
( e1 = e2
| e1 = op(e0,e3)
| op(e0,e0) = e1 ),
inference(forward_demodulation,[],[f2061,f371]) ).
fof(f2061,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f2050,f1794]) ).
fof(f1794,plain,
e1 != op(e0,e2),
inference(subsumption_resolution,[],[f1793,f83]) ).
fof(f83,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1793,plain,
( e1 != op(e0,e2)
| e0 = e1 ),
inference(inner_rewriting,[],[f1776]) ).
fof(f1776,plain,
( e1 != op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f150,f1772]) ).
fof(f1772,plain,
( e1 = op(e0,e3)
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f1759,f371]) ).
fof(f1759,plain,
( e0 = op(e0,op(e0,e1))
| e1 = op(e0,e3) ),
inference(superposition,[],[f198,f1755]) ).
fof(f1755,plain,
( e0 = op(e1,e0)
| e1 = op(e0,e3) ),
inference(subsumption_resolution,[],[f1754,f88]) ).
fof(f1754,plain,
( e1 = e3
| e1 = op(e0,e3)
| e0 = op(e1,e0) ),
inference(duplicate_literal_removal,[],[f1742]) ).
fof(f1742,plain,
( e1 = e3
| e1 = op(e0,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f1741,f710]) ).
fof(f710,plain,
( e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(duplicate_literal_removal,[],[f706]) ).
fof(f706,plain,
( e1 = op(e1,e0)
| e0 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f688,f695]) ).
fof(f695,plain,
( e1 = op(e2,e1)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f690,f484]) ).
fof(f484,plain,
( e1 != op(e3,e0)
| e1 = op(e2,e1) ),
inference(subsumption_resolution,[],[f483,f87]) ).
fof(f483,plain,
( e1 = e2
| e1 != op(e3,e0)
| e1 = op(e2,e1) ),
inference(forward_demodulation,[],[f471,f371]) ).
fof(f471,plain,
( e1 != op(e3,e0)
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(superposition,[],[f173,f335]) ).
fof(f335,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(subsumption_resolution,[],[f334,f89]) ).
fof(f334,plain,
( e1 = e4
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(forward_demodulation,[],[f333,f298]) ).
fof(f298,plain,
e4 = op(e1,e1),
inference(forward_demodulation,[],[f221,f194]) ).
fof(f221,plain,
e4 = op(op(e4,e4),op(e4,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f333,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(subsumption_resolution,[],[f332,f83]) ).
fof(f332,plain,
( e0 = e1
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(forward_demodulation,[],[f235,f297]) ).
fof(f235,plain,
( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f690,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e1)
| e0 = op(e1,e0) ),
inference(superposition,[],[f492,f684]) ).
fof(f684,plain,
( e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f683,f92]) ).
fof(f683,plain,
( e3 = e4
| e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(forward_demodulation,[],[f682,f378]) ).
fof(f682,plain,
( op(e0,e0) = e4
| e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f670,f382]) ).
fof(f382,plain,
e0 != op(e1,e3),
inference(superposition,[],[f128,f380]) ).
fof(f128,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f670,plain,
( op(e0,e0) = e4
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(superposition,[],[f299,f339]) ).
fof(f339,plain,
( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f338,f86]) ).
fof(f86,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f338,plain,
( e0 = e4
| e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(forward_demodulation,[],[f232,f298]) ).
fof(f232,plain,
( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
e4 = op(op(e1,e4),e0),
inference(forward_demodulation,[],[f218,f297]) ).
fof(f218,plain,
e4 = op(op(e1,e4),op(e4,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f492,plain,
( e1 = op(e3,op(e1,e2))
| e1 = op(e2,e1) ),
inference(superposition,[],[f204,f481]) ).
fof(f481,plain,
( e3 = op(e2,e1)
| e1 = op(e2,e1) ),
inference(subsumption_resolution,[],[f480,f90]) ).
fof(f480,plain,
( e2 = e3
| e1 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(forward_demodulation,[],[f479,f371]) ).
fof(f479,plain,
( e1 = op(e2,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f478,f87]) ).
fof(f478,plain,
( e1 = e2
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f477,f371]) ).
fof(f477,plain,
( e1 = op(e2,e1)
| e1 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f467,f88]) ).
fof(f467,plain,
( e1 = e3
| e1 = op(e2,e1)
| e1 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(superposition,[],[f335,f323]) ).
fof(f323,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f322,f92]) ).
fof(f322,plain,
( e3 = e4
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f321,f298]) ).
fof(f321,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f320,f85]) ).
fof(f320,plain,
( e0 = e3
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f239,f297]) ).
fof(f239,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f204,plain,
e1 = op(op(e2,e1),op(e1,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f688,plain,
( e1 = op(op(e2,e1),e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f204,f684]) ).
fof(f1741,plain,
( e3 = op(e1,e0)
| e1 = op(e0,e3)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f1739,f85]) ).
fof(f1739,plain,
( e0 = e3
| e1 = op(e0,e3)
| e3 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(duplicate_literal_removal,[],[f1710]) ).
fof(f1710,plain,
( e0 = e3
| e1 = op(e0,e3)
| e3 = op(e1,e0)
| e0 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f1385,f684]) ).
fof(f1385,plain,
( e3 = op(e1,e2)
| e1 = op(e0,e3)
| e3 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f1369,f88]) ).
fof(f1369,plain,
( e1 = e3
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f842,f695]) ).
fof(f842,plain,
( e3 = op(e2,e1)
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(subsumption_resolution,[],[f841,f83]) ).
fof(f841,plain,
( e0 = e1
| e3 = op(e2,e1)
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(forward_demodulation,[],[f830,f380]) ).
fof(f830,plain,
( e1 = op(e3,e3)
| e3 = op(e2,e1)
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(superposition,[],[f454,f593]) ).
fof(f593,plain,
( e3 = op(e1,e3)
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(superposition,[],[f300,f325]) ).
fof(f325,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(subsumption_resolution,[],[f324,f92]) ).
fof(f324,plain,
( e3 = e4
| e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0) ),
inference(forward_demodulation,[],[f238,f298]) ).
fof(f238,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
e1 = op(e0,op(e1,e4)),
inference(forward_demodulation,[],[f206,f297]) ).
fof(f206,plain,
e1 = op(op(e4,e1),op(e1,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
( e1 = op(e3,op(e1,e3))
| e3 = op(e2,e1) ),
inference(subsumption_resolution,[],[f453,f90]) ).
fof(f453,plain,
( e2 = e3
| e1 = op(e3,op(e1,e3))
| e3 = op(e2,e1) ),
inference(forward_demodulation,[],[f447,f371]) ).
fof(f447,plain,
( e1 = op(e3,op(e1,e3))
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(superposition,[],[f205,f323]) ).
fof(f205,plain,
e1 = op(op(e3,e1),op(e1,e3)),
inference(cnf_transformation,[],[f3]) ).
fof(f198,plain,
e0 = op(op(e1,e0),op(e0,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2050,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(trivial_inequality_removal,[],[f2039]) ).
fof(f2039,plain,
( e1 != e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(superposition,[],[f359,f224]) ).
fof(f224,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f359,plain,
e1 != op(e0,e4),
inference(superposition,[],[f136,f194]) ).
fof(f136,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3384,plain,
( e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3383,f89]) ).
fof(f3383,plain,
( e1 = e4
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(forward_demodulation,[],[f3382,f194]) ).
fof(f3382,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3355,f353]) ).
fof(f353,plain,
e4 != op(e0,e1),
inference(superposition,[],[f103,f298]) ).
fof(f103,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3355,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(superposition,[],[f1425,f230]) ).
fof(f230,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1425,plain,
( e4 = op(op(e0,e4),e4)
| e3 = op(e4,e0)
| e2 = op(e4,e0) ),
inference(superposition,[],[f217,f1419]) ).
fof(f1419,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1418,f90]) ).
fof(f1418,plain,
( e2 = e3
| e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0) ),
inference(duplicate_literal_removal,[],[f1393]) ).
fof(f1393,plain,
( e2 = e3
| e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e3 = op(e4,e0) ),
inference(superposition,[],[f1307,f791]) ).
fof(f791,plain,
( e2 = op(e4,e2)
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f790,f92]) ).
fof(f790,plain,
( e3 = e4
| e2 = op(e4,e0)
| e2 = op(e4,e2)
| e4 = op(e4,e0)
| e3 = op(e4,e0) ),
inference(duplicate_literal_removal,[],[f776]) ).
fof(f776,plain,
( e3 = e4
| e2 = op(e4,e0)
| e2 = op(e4,e2)
| e4 = op(e4,e0)
| e2 = op(e4,e0)
| e2 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(superposition,[],[f440,f439]) ).
fof(f439,plain,
( e3 = op(e4,e2)
| e2 = op(e4,e0)
| e2 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f424,f90]) ).
fof(f424,plain,
( e2 = e3
| e2 = op(e4,e2)
| e2 = op(e4,e0)
| e3 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(superposition,[],[f319,f313]) ).
fof(f313,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f312,f85]) ).
fof(f312,plain,
( e0 = e3
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f311,f297]) ).
fof(f311,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f310,f88]) ).
fof(f310,plain,
( e1 = e3
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f268,f194]) ).
fof(f268,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f319,plain,
( e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f318,f84]) ).
fof(f318,plain,
( e0 = e2
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f317,f297]) ).
fof(f317,plain,
( e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f316,f87]) ).
fof(f316,plain,
( e1 = e2
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f266,f194]) ).
fof(f266,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f440,plain,
( e4 = op(e4,e2)
| e2 = op(e4,e0)
| e2 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f425,f91]) ).
fof(f91,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
( e2 = e4
| e2 = op(e4,e2)
| e2 = op(e4,e0)
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(superposition,[],[f319,f307]) ).
fof(f307,plain,
( e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f306,f86]) ).
fof(f306,plain,
( e0 = e4
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(forward_demodulation,[],[f305,f297]) ).
fof(f305,plain,
( e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f304,f89]) ).
fof(f304,plain,
( e1 = e4
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(forward_demodulation,[],[f270,f194]) ).
fof(f270,plain,
( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1307,plain,
( e3 = op(e4,e2)
| e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1304,f91]) ).
fof(f1304,plain,
( e2 = e4
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e3 = op(e4,e0)
| e3 = op(e4,e2) ),
inference(duplicate_literal_removal,[],[f1286]) ).
fof(f1286,plain,
( e2 = e4
| e2 = op(e4,e0)
| e4 = op(e4,e0)
| e3 = op(e4,e0)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(superposition,[],[f791,f415]) ).
fof(f415,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f401,f92]) ).
fof(f401,plain,
( e3 = e4
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(superposition,[],[f313,f307]) ).
fof(f217,plain,
e4 = op(op(e0,e4),op(e4,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f3371,plain,
( e0 = op(op(e4,e0),e4)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3370,f92]) ).
fof(f3370,plain,
( e3 = e4
| e0 = op(op(e4,e0),e4)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f3369,f378]) ).
fof(f3369,plain,
( e0 = op(op(e4,e0),e4)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3368,f89]) ).
fof(f3368,plain,
( e1 = e4
| e0 = op(op(e4,e0),e4)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(forward_demodulation,[],[f3367,f2065]) ).
fof(f3367,plain,
( e0 = op(op(e4,e0),e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3343,f353]) ).
fof(f3343,plain,
( e0 = op(op(e4,e0),e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(superposition,[],[f201,f230]) ).
fof(f201,plain,
e0 = op(op(e4,e0),op(e0,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f166,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f6240,plain,
( e1 != op(e2,e0)
| e4 = op(e0,e2)
| e1 = op(e1,e2) ),
inference(superposition,[],[f163,f6231]) ).
fof(f6231,plain,
( e1 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = op(e1,e2) ),
inference(subsumption_resolution,[],[f6230,f2067]) ).
fof(f2067,plain,
e1 != op(e0,e1),
inference(superposition,[],[f148,f2065]) ).
fof(f148,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f6230,plain,
( e1 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e1) ),
inference(trivial_inequality_removal,[],[f6229]) ).
fof(f6229,plain,
( e1 != e1
| e1 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e1) ),
inference(duplicate_literal_removal,[],[f6218]) ).
fof(f6218,plain,
( e1 != e1
| e1 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(superposition,[],[f6130,f335]) ).
fof(f6130,plain,
( e1 != op(e3,e1)
| e1 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = op(e1,e2) ),
inference(superposition,[],[f177,f5975]) ).
fof(f5975,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = op(e1,e2) ),
inference(superposition,[],[f492,f5961]) ).
fof(f5961,plain,
( e2 = op(e1,e2)
| e4 = op(e0,e2)
| e1 = op(e1,e2) ),
inference(subsumption_resolution,[],[f5932,f3704]) ).
fof(f5932,plain,
( e1 != op(e2,e0)
| e1 = op(e1,e2)
| e4 = op(e0,e2)
| e2 = op(e1,e2) ),
inference(superposition,[],[f163,f4223]) ).
fof(f4223,plain,
( e1 = op(e2,e1)
| e1 = op(e1,e2)
| e4 = op(e0,e2)
| e2 = op(e1,e2) ),
inference(superposition,[],[f486,f3745]) ).
fof(f3745,plain,
( e2 = op(e1,e3)
| e4 = op(e0,e2)
| e2 = op(e1,e2) ),
inference(subsumption_resolution,[],[f3744,f1006]) ).
fof(f1006,plain,
e2 != op(e1,e0),
inference(subsumption_resolution,[],[f1005,f87]) ).
fof(f1005,plain,
( e2 != op(e1,e0)
| e1 = e2 ),
inference(inner_rewriting,[],[f986]) ).
fof(f986,plain,
( e2 != op(e1,e0)
| e1 = op(e1,e0) ),
inference(superposition,[],[f155,f982]) ).
fof(f982,plain,
( e2 = op(e1,e3)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f977,f916]) ).
fof(f916,plain,
( e1 != op(e1,e1)
| e1 = op(e1,e0) ),
inference(superposition,[],[f157,f912]) ).
fof(f912,plain,
( e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f911,f88]) ).
fof(f911,plain,
( e1 = e3
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(duplicate_literal_removal,[],[f899]) ).
fof(f899,plain,
( e1 = e3
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(superposition,[],[f897,f645]) ).
fof(f645,plain,
( e1 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f644,f89]) ).
fof(f644,plain,
( e1 = e4
| e1 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(forward_demodulation,[],[f641,f298]) ).
fof(f641,plain,
( e1 = op(e1,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(superposition,[],[f486,f628]) ).
fof(f628,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f617,f363]) ).
fof(f363,plain,
e4 != op(e1,e0),
inference(superposition,[],[f153,f298]) ).
fof(f153,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f617,plain,
( e4 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(superposition,[],[f299,f337]) ).
fof(f337,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f336,f89]) ).
fof(f336,plain,
( e1 = e4
| e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(forward_demodulation,[],[f234,f298]) ).
fof(f234,plain,
( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f897,plain,
( e3 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f896,f90]) ).
fof(f896,plain,
( e2 = e3
| e3 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(forward_demodulation,[],[f895,f371]) ).
fof(f895,plain,
( e3 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f894,f88]) ).
fof(f894,plain,
( e1 = e3
| e3 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| e3 = op(e0,e1) ),
inference(duplicate_literal_removal,[],[f874]) ).
fof(f874,plain,
( e1 = e3
| e3 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(superposition,[],[f639,f323]) ).
fof(f639,plain,
( e1 = op(e3,e1)
| e3 = op(e2,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(superposition,[],[f454,f628]) ).
fof(f157,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f977,plain,
( e1 = op(e1,e1)
| e1 = op(e1,e0)
| e2 = op(e1,e3) ),
inference(duplicate_literal_removal,[],[f974]) ).
fof(f974,plain,
( e1 = op(e1,e1)
| e1 = op(e1,e0)
| e2 = op(e1,e3)
| e1 = op(e1,e0) ),
inference(superposition,[],[f917,f920]) ).
fof(f920,plain,
( e1 = op(e2,e1)
| e2 = op(e1,e3)
| e1 = op(e1,e0) ),
inference(superposition,[],[f493,f912]) ).
fof(f493,plain,
( e2 = op(op(e1,e2),e3)
| e1 = op(e2,e1) ),
inference(superposition,[],[f208,f481]) ).
fof(f208,plain,
e2 = op(op(e1,e2),op(e2,e1)),
inference(cnf_transformation,[],[f3]) ).
fof(f917,plain,
( e1 = op(op(e2,e1),e1)
| e1 = op(e1,e0) ),
inference(superposition,[],[f204,f912]) ).
fof(f155,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3744,plain,
( e4 = op(e0,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(subsumption_resolution,[],[f3705,f89]) ).
fof(f3705,plain,
( e1 = e4
| e4 = op(e0,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(superposition,[],[f3704,f603]) ).
fof(f603,plain,
( e4 = op(e2,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(superposition,[],[f299,f331]) ).
fof(f331,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(subsumption_resolution,[],[f330,f91]) ).
fof(f330,plain,
( e2 = e4
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(forward_demodulation,[],[f236,f298]) ).
fof(f236,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f486,plain,
( e1 = op(e1,op(e1,e3))
| e1 = op(e2,e1) ),
inference(subsumption_resolution,[],[f485,f87]) ).
fof(f485,plain,
( e1 = e2
| e1 = op(e1,op(e1,e3))
| e1 = op(e2,e1) ),
inference(forward_demodulation,[],[f472,f371]) ).
fof(f472,plain,
( e1 = op(e1,op(e1,e3))
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(superposition,[],[f205,f335]) ).
fof(f177,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f5882,plain,
( e1 != op(e1,e2)
| e3 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f5881,f87]) ).
fof(f5881,plain,
( e1 != op(e1,e2)
| e3 = op(e2,e1)
| e4 = op(e0,e2)
| e1 = e2 ),
inference(inner_rewriting,[],[f5851]) ).
fof(f5851,plain,
( e1 != op(e1,e2)
| e3 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e1,e2) ),
inference(superposition,[],[f118,f4221]) ).
fof(f4221,plain,
( e1 = op(e3,e2)
| e3 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e1,e2) ),
inference(superposition,[],[f454,f3745]) ).
fof(f118,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f6332,plain,
( e1 = op(op(e2,e1),e1)
| e4 = op(e0,e2) ),
inference(superposition,[],[f204,f6275]) ).
fof(f110,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f8025,plain,
( e4 = op(e0,e2)
| e1 = op(e2,e1) ),
inference(subsumption_resolution,[],[f7948,f90]) ).
fof(f7948,plain,
( e2 = e3
| e4 = op(e0,e2)
| e1 = op(e2,e1) ),
inference(superposition,[],[f7947,f481]) ).
fof(f7947,plain,
( e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7946,f3475]) ).
fof(f3475,plain,
( e2 != op(e2,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f101,f3463]) ).
fof(f101,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f7946,plain,
( e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e2,e0) ),
inference(subsumption_resolution,[],[f7945,f3476]) ).
fof(f3476,plain,
( e2 != op(e3,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f102,f3463]) ).
fof(f102,plain,
op(e3,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f7945,plain,
( e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0) ),
inference(subsumption_resolution,[],[f7944,f374]) ).
fof(f374,plain,
op(e0,e0) != e2,
inference(superposition,[],[f143,f371]) ).
fof(f143,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f7944,plain,
( e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2 ),
inference(subsumption_resolution,[],[f7943,f1006]) ).
fof(f7943,plain,
( e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(subsumption_resolution,[],[f7900,f90]) ).
fof(f7900,plain,
( e2 = e3
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(superposition,[],[f7897,f227]) ).
fof(f227,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f7897,plain,
( e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7896,f3475]) ).
fof(f7896,plain,
( e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e2,e0) ),
inference(subsumption_resolution,[],[f7895,f3476]) ).
fof(f7895,plain,
( e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0) ),
inference(subsumption_resolution,[],[f7891,f92]) ).
fof(f7891,plain,
( e3 = e4
| e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0) ),
inference(duplicate_literal_removal,[],[f7847]) ).
fof(f7847,plain,
( e3 = e4
| e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f7836,f3408]) ).
fof(f3408,plain,
( e4 = op(e4,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3407,f92]) ).
fof(f3407,plain,
( e3 = e4
| e4 = op(e4,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f3406,f378]) ).
fof(f3406,plain,
( e4 = op(e4,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3405,f89]) ).
fof(f3405,plain,
( e1 = e4
| e4 = op(e4,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(forward_demodulation,[],[f3404,f2065]) ).
fof(f3404,plain,
( e4 = op(e4,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3366,f353]) ).
fof(f3366,plain,
( e4 = op(e4,e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(superposition,[],[f3268,f230]) ).
fof(f3268,plain,
( e4 = op(op(e0,e4),e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0) ),
inference(subsumption_resolution,[],[f3267,f374]) ).
fof(f3267,plain,
( e4 = op(op(e0,e4),e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| op(e0,e0) = e2 ),
inference(subsumption_resolution,[],[f3250,f1006]) ).
fof(f3250,plain,
( e4 = op(op(e0,e4),e2)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(superposition,[],[f217,f227]) ).
fof(f7836,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7831,f3570]) ).
fof(f3570,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e4 = op(e0,e4)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3549,f3520]) ).
fof(f3520,plain,
( e4 != op(e4,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f184,f3498]) ).
fof(f3498,plain,
( e4 = op(e4,e2)
| e4 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f3495]) ).
fof(f3495,plain,
( e4 = op(e4,e2)
| e4 = op(e0,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f3376,f3463]) ).
fof(f3376,plain,
( e4 = op(e4,op(e4,e0))
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3375,f92]) ).
fof(f3375,plain,
( e3 = e4
| e4 = op(e4,op(e4,e0))
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f3374,f378]) ).
fof(f3374,plain,
( e4 = op(e4,op(e4,e0))
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3373,f89]) ).
fof(f3373,plain,
( e1 = e4
| e4 = op(e4,op(e4,e0))
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(forward_demodulation,[],[f3372,f2065]) ).
fof(f3372,plain,
( e4 = op(e4,op(e4,e0))
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f3344,f353]) ).
fof(f3344,plain,
( e4 = op(e4,op(e4,e0))
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(superposition,[],[f217,f230]) ).
fof(f184,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3549,plain,
( e4 = op(e0,e4)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e4 = op(e4,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f755,f3499]) ).
fof(f755,plain,
( e4 = op(op(e2,e4),e4)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(superposition,[],[f219,f415]) ).
fof(f219,plain,
e4 = op(op(e2,e4),op(e4,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f7831,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e4 != op(e0,e4) ),
inference(resolution,[],[f7830,f55]) ).
fof(f55,plain,
( ~ sP5
| e4 != op(e0,e4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f7830,plain,
( sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7829,f3685]) ).
fof(f7829,plain,
( e3 = op(e4,e0)
| e3 = op(e4,e2)
| sP5
| e2 = op(e2,e1)
| e4 = op(e0,e2)
| e0 != op(e1,e0) ),
inference(resolution,[],[f7823,f46]) ).
fof(f46,plain,
( ~ sP6
| e0 != op(e1,e0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e1 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e1 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f7823,plain,
( sP6
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| sP5
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7820,f6467]) ).
fof(f7820,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP6
| e1 = op(e2,e1)
| sP5
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(trivial_inequality_removal,[],[f7779]) ).
fof(f7779,plain,
( e2 != e2
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP6
| e1 = op(e2,e1)
| sP5
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(superposition,[],[f506,f7771]) ).
fof(f7771,plain,
( e2 = op(e2,e2)
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7724,f6570]) ).
fof(f6570,plain,
( e2 = op(e1,e3)
| e4 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f6569]) ).
fof(f6569,plain,
( e2 = op(e1,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f6333,f6375]) ).
fof(f6333,plain,
( e2 = op(e1,op(e2,e1))
| e4 = op(e0,e2) ),
inference(superposition,[],[f208,f6275]) ).
fof(f7724,plain,
( e2 != op(e1,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(superposition,[],[f127,f7578]) ).
fof(f7578,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7577,f3475]) ).
fof(f7577,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7524,f84]) ).
fof(f7524,plain,
( e0 = e2
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0)
| e4 = op(e0,e2) ),
inference(superposition,[],[f246,f3499]) ).
fof(f246,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f506,plain,
( e2 != op(e2,e2)
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP6
| e1 = op(e2,e1)
| sP5 ),
inference(resolution,[],[f503,f43]) ).
fof(f43,plain,
( ~ sP7
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e3)
& e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e3)
& e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f503,plain,
( sP7
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP6
| e1 = op(e2,e1) ),
inference(subsumption_resolution,[],[f502,f87]) ).
fof(f502,plain,
( e1 = e2
| sP6
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP7
| e1 = op(e2,e1) ),
inference(forward_demodulation,[],[f501,f371]) ).
fof(f501,plain,
( sP6
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP7
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(trivial_inequality_removal,[],[f498]) ).
fof(f498,plain,
( e1 != e1
| sP6
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP7
| e1 = op(e2,e1)
| e1 = op(e0,e1) ),
inference(superposition,[],[f421,f335]) ).
fof(f421,plain,
( e1 != op(e3,e1)
| sP6
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0)
| sP7 ),
inference(resolution,[],[f414,f37]) ).
fof(f37,plain,
( ~ sP8
| e1 != op(e3,e1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e3)
& e2 != op(e3,e2)
& e1 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e3)
& e2 != op(e3,e2)
& e1 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f414,plain,
( sP8
| sP7
| sP6
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f412,plain,
( e3 != e3
| sP8
| sP7
| sP6
| sP5
| e3 = op(e4,e2)
| e3 = op(e4,e0) ),
inference(superposition,[],[f344,f313]) ).
fof(f344,plain,
( e3 != op(e4,e3)
| sP8
| sP7
| sP6
| sP5 ),
inference(resolution,[],[f34,f82]) ).
fof(f82,plain,
( sP9
| sP8
| sP7
| sP6
| sP5 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( sP9
| sP8
| sP7
| sP6
| sP5 )
& ( sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f19,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e3)
& e2 != op(e4,e2)
& e1 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f9,plain,
( ( ( e4 != op(e4,e4)
& e3 != op(e4,e3)
& e2 != op(e4,e2)
& e1 != op(e4,e1)
& e0 != op(e4,e0) )
| ( e4 != op(e3,e4)
& e3 != op(e3,e3)
& e2 != op(e3,e2)
& e1 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e4 != op(e2,e4)
& e3 != op(e2,e3)
& e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e4 != op(e1,e4)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e1 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e4 != op(e0,e4)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e0,e0) ) )
& ( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(e4,e4)
& e3 != op(e4,e3)
& e2 != op(e4,e2)
& e1 != op(e4,e1)
& e0 != op(e4,e0) )
| ( e4 != op(e3,e4)
& e3 != op(e3,e3)
& e2 != op(e3,e2)
& e1 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e4 != op(e2,e4)
& e3 != op(e2,e3)
& e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e4 != op(e1,e4)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e1 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e4 != op(e0,e4)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e0,e0) ) )
& ( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(e4,e4)
& e3 != op(e4,e3)
& e2 != op(e4,e2)
& e1 != op(e4,e1)
& e0 != op(e4,e0) )
| ( e4 != op(e3,e4)
& e3 != op(e3,e3)
& e2 != op(e3,e2)
& e1 != op(e3,e1)
& e0 != op(e3,e0) )
| ( e4 != op(e2,e4)
& e3 != op(e2,e3)
& e2 != op(e2,e2)
& e1 != op(e2,e1)
& e0 != op(e2,e0) )
| ( e4 != op(e1,e4)
& e3 != op(e1,e3)
& e2 != op(e1,e2)
& e1 != op(e1,e1)
& e0 != op(e1,e0) )
| ( e4 != op(e0,e4)
& e3 != op(e0,e3)
& e2 != op(e0,e2)
& e1 != op(e0,e1)
& e0 != op(e0,e0) ) )
& ( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f34,plain,
( ~ sP9
| e3 != op(e4,e3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e3)
& e2 != op(e4,e2)
& e1 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f2638,plain,
( e2 = op(op(e0,e2),e1)
| e1 = op(e1,e0) ),
inference(superposition,[],[f207,f2631]) ).
fof(f2631,plain,
( e1 = op(e2,e0)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f2630,f1104]) ).
fof(f1104,plain,
( e1 != op(e3,e0)
| e1 = op(e1,e0) ),
inference(superposition,[],[f173,f1061]) ).
fof(f1061,plain,
( e1 = op(e3,e1)
| e1 = op(e1,e0) ),
inference(duplicate_literal_removal,[],[f1056]) ).
fof(f1056,plain,
( e1 = op(e3,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(superposition,[],[f917,f1042]) ).
fof(f1042,plain,
( e3 = op(e2,e1)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f1031,f897]) ).
fof(f1031,plain,
( e1 != op(e1,e2)
| e3 = op(e2,e1)
| e1 = op(e1,e0) ),
inference(superposition,[],[f118,f995]) ).
fof(f995,plain,
( e1 = op(e3,e2)
| e3 = op(e2,e1)
| e1 = op(e1,e0) ),
inference(superposition,[],[f454,f982]) ).
fof(f2630,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) ),
inference(subsumption_resolution,[],[f2619,f2066]) ).
fof(f2066,plain,
op(e0,e0) != e1,
inference(superposition,[],[f145,f2065]) ).
fof(f145,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2619,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(trivial_inequality_removal,[],[f2608]) ).
fof(f2608,plain,
( e1 != e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(superposition,[],[f365,f225]) ).
fof(f225,plain,
( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f365,plain,
e1 != op(e4,e0),
inference(superposition,[],[f186,f194]) ).
fof(f186,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f207,plain,
e2 = op(op(e0,e2),op(e2,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f202,plain,
e1 = op(op(e0,e1),op(e1,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f8995,plain,
( e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(trivial_inequality_removal,[],[f8983]) ).
fof(f8983,plain,
( e3 != e3
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(superposition,[],[f8968,f323]) ).
fof(f8968,plain,
e3 != op(e3,e1),
inference(unit_resulting_resolution,[],[f8958,f74]) ).
fof(f74,plain,
( ~ sP1
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e4 != op(e4,e1)
& e3 != op(e3,e1)
& e2 != op(e2,e1)
& e1 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f8958,plain,
sP1,
inference(subsumption_resolution,[],[f8957,f91]) ).
fof(f8957,plain,
( e2 = e4
| sP1 ),
inference(forward_demodulation,[],[f8956,f8254]) ).
fof(f8254,plain,
e2 = op(e4,e0),
inference(forward_demodulation,[],[f8225,f8026]) ).
fof(f8225,plain,
e2 = op(op(e0,e2),e0),
inference(unit_resulting_resolution,[],[f8104,f1499]) ).
fof(f1499,plain,
( e2 = op(op(e0,e2),e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f207,f1476]) ).
fof(f1476,plain,
( e0 = op(e2,e0)
| e0 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f1470]) ).
fof(f1470,plain,
( e0 = op(e2,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f1084,f1458]) ).
fof(f1458,plain,
( e2 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1441,f378]) ).
fof(f1441,plain,
( op(e0,e0) != e3
| e0 = op(e0,e2)
| e2 = op(e4,e0) ),
inference(superposition,[],[f96,f1434]) ).
fof(f1434,plain,
( e3 = op(e4,e0)
| e0 = op(e0,e2)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1429,f364]) ).
fof(f1429,plain,
( e0 = op(e4,e0)
| e0 = op(e0,e2)
| e3 = op(e4,e0)
| e2 = op(e4,e0) ),
inference(superposition,[],[f1084,f1419]) ).
fof(f1084,plain,
( e0 = op(op(e4,e0),e0)
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1083,f85]) ).
fof(f1083,plain,
( e0 = e3
| e0 = op(op(e4,e0),e0)
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f1082,f378]) ).
fof(f1082,plain,
( e0 = op(op(e4,e0),e0)
| e0 = op(e0,e2)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1081,f354]) ).
fof(f354,plain,
e0 != op(e0,e1),
inference(superposition,[],[f106,f297]) ).
fof(f106,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1081,plain,
( e0 = op(op(e4,e0),e0)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1072,f381]) ).
fof(f381,plain,
e0 != op(e0,e3),
inference(superposition,[],[f125,f380]) ).
fof(f125,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1072,plain,
( e0 = op(op(e4,e0),e0)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(superposition,[],[f201,f222]) ).
fof(f222,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f8104,plain,
e0 != op(e0,e2),
inference(superposition,[],[f113,f8094]) ).
fof(f8094,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f8077,f371]) ).
fof(f8077,plain,
e0 = op(e1,op(e0,e1)),
inference(superposition,[],[f198,f8067]) ).
fof(f113,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f8956,plain,
( sP1
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f8955,f92]) ).
fof(f8955,plain,
( e3 = e4
| sP1
| e4 = op(e4,e0) ),
inference(forward_demodulation,[],[f8954,f8740]) ).
fof(f8740,plain,
e3 = op(e4,e2),
inference(forward_demodulation,[],[f8722,f8701]) ).
fof(f8701,plain,
e4 = op(e4,e3),
inference(subsumption_resolution,[],[f8700,f91]) ).
fof(f8700,plain,
( e2 = e4
| e4 = op(e4,e3) ),
inference(forward_demodulation,[],[f8699,f8254]) ).
fof(f8699,plain,
( e4 = op(e4,e3)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f8698,f90]) ).
fof(f8698,plain,
( e2 = e3
| e4 = op(e4,e3)
| e4 = op(e4,e0) ),
inference(forward_demodulation,[],[f8697,f8254]) ).
fof(f8697,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f8672,f8104]) ).
fof(f8672,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f2226,f8561]) ).
fof(f8561,plain,
e4 = op(e2,e4),
inference(subsumption_resolution,[],[f8560,f86]) ).
fof(f8560,plain,
( e0 = e4
| e4 = op(e2,e4) ),
inference(forward_demodulation,[],[f8559,f8226]) ).
fof(f8226,plain,
e0 = op(e0,e4),
inference(unit_resulting_resolution,[],[f8104,f1573]) ).
fof(f1573,plain,
( e0 = op(e0,e4)
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1572,f1497]) ).
fof(f1497,plain,
( e0 != op(e1,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f97,f1476]) ).
fof(f97,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1572,plain,
( e0 = op(e0,e4)
| e0 = op(e1,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f1554,f1475]) ).
fof(f1475,plain,
( e4 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f1471]) ).
fof(f1471,plain,
( e4 = op(e0,e2)
| e0 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f1088,f1458]) ).
fof(f1088,plain,
( e4 = op(e0,op(e4,e0))
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1087,f85]) ).
fof(f1087,plain,
( e0 = e3
| e4 = op(e0,op(e4,e0))
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f1086,f378]) ).
fof(f1086,plain,
( e4 = op(e0,op(e4,e0))
| e0 = op(e0,e2)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1085,f354]) ).
fof(f1085,plain,
( e4 = op(e0,op(e4,e0))
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1073,f381]) ).
fof(f1073,plain,
( e4 = op(e0,op(e4,e0))
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(superposition,[],[f217,f222]) ).
fof(f1554,plain,
( e0 = op(e0,op(e0,e2))
| e0 = op(e1,e0) ),
inference(superposition,[],[f199,f1550]) ).
fof(f199,plain,
e0 = op(op(e2,e0),op(e0,e2)),
inference(cnf_transformation,[],[f3]) ).
fof(f8559,plain,
( e4 = op(e2,e4)
| e4 = op(e0,e4) ),
inference(subsumption_resolution,[],[f8558,f92]) ).
fof(f8558,plain,
( e3 = e4
| e4 = op(e2,e4)
| e4 = op(e0,e4) ),
inference(forward_demodulation,[],[f8554,f8239]) ).
fof(f8239,plain,
e3 = op(e1,e4),
inference(unit_resulting_resolution,[],[f8104,f3956]) ).
fof(f3956,plain,
( e3 = op(e1,e4)
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3955,f86]) ).
fof(f3955,plain,
( e0 = e4
| e3 = op(e1,e4)
| e0 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f3905]) ).
fof(f3905,plain,
( e0 = e4
| e3 = op(e1,e4)
| e0 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f3876,f1476]) ).
fof(f3876,plain,
( e4 = op(e2,e0)
| e3 = op(e1,e4)
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f3850,f2065]) ).
fof(f3850,plain,
( e3 = op(op(e0,e3),e4)
| e4 = op(e2,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f212,f3627]) ).
fof(f3627,plain,
( e4 = op(e3,e0)
| e4 = op(e2,e0)
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3626,f92]) ).
fof(f3626,plain,
( e3 = e4
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f3625,f378]) ).
fof(f3625,plain,
( e4 = op(e3,e0)
| e4 = op(e2,e0)
| op(e0,e0) = e4
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3624,f363]) ).
fof(f3624,plain,
( e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3585,f91]) ).
fof(f3585,plain,
( e2 = e4
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4
| e0 = op(e0,e2) ),
inference(superposition,[],[f231,f1458]) ).
fof(f231,plain,
( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f2]) ).
fof(f212,plain,
e3 = op(op(e0,e3),op(e3,e0)),
inference(cnf_transformation,[],[f3]) ).
fof(f8554,plain,
( e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(trivial_inequality_removal,[],[f8530]) ).
fof(f8530,plain,
( e4 != e4
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(superposition,[],[f512,f8245]) ).
fof(f8245,plain,
e4 = op(e3,e0),
inference(unit_resulting_resolution,[],[f8104,f3965]) ).
fof(f3965,plain,
( e4 = op(e3,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f299,f3956]) ).
fof(f512,plain,
( e4 != op(e3,e0)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(superposition,[],[f176,f303]) ).
fof(f303,plain,
( e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(subsumption_resolution,[],[f302,f89]) ).
fof(f302,plain,
( e1 = e4
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(forward_demodulation,[],[f271,f194]) ).
fof(f271,plain,
( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) ),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
op(e3,e0) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2226,plain,
( e4 = op(op(e2,e4),e3)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f219,f1493]) ).
fof(f1493,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(trivial_inequality_removal,[],[f1485]) ).
fof(f1485,plain,
( e4 != e4
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e4 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f748,f1475]) ).
fof(f748,plain,
( e4 != op(e0,e2)
| e3 = op(e4,e0)
| e3 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(superposition,[],[f116,f415]) ).
fof(f116,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f8722,plain,
e3 = op(op(e4,e3),e2),
inference(superposition,[],[f216,f8696]) ).
fof(f8696,plain,
e2 = op(e3,e4),
inference(subsumption_resolution,[],[f8695,f91]) ).
fof(f8695,plain,
( e2 = e4
| e2 = op(e3,e4) ),
inference(forward_demodulation,[],[f8694,f8254]) ).
fof(f8694,plain,
( e2 = op(e3,e4)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f8693,f90]) ).
fof(f8693,plain,
( e2 = e3
| e2 = op(e3,e4)
| e4 = op(e4,e0) ),
inference(forward_demodulation,[],[f8692,f8254]) ).
fof(f8692,plain,
( e2 = op(e3,e4)
| e3 = op(e4,e0)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f8671,f8104]) ).
fof(f8671,plain,
( e2 = op(e3,e4)
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f2225,f8561]) ).
fof(f2225,plain,
( e2 = op(e3,op(e2,e4))
| e3 = op(e4,e0)
| e4 = op(e4,e0)
| e0 = op(e0,e2) ),
inference(superposition,[],[f211,f1493]) ).
fof(f211,plain,
e2 = op(op(e4,e2),op(e2,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f216,plain,
e3 = op(op(e4,e3),op(e3,e4)),
inference(cnf_transformation,[],[f3]) ).
fof(f8954,plain,
( sP1
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(subsumption_resolution,[],[f8953,f8072]) ).
fof(f8072,plain,
~ sP0,
inference(unit_resulting_resolution,[],[f8067,f77]) ).
fof(f77,plain,
( ~ sP0
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e4 != op(e4,e0)
& e3 != op(e3,e0)
& e2 != op(e2,e0)
& e1 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f8953,plain,
( sP1
| e4 = op(e4,e2)
| e4 = op(e4,e0)
| sP0 ),
inference(subsumption_resolution,[],[f8947,f8104]) ).
fof(f8947,plain,
( e0 = op(e0,e2)
| sP1
| e4 = op(e4,e2)
| e4 = op(e4,e0)
| sP0 ),
inference(trivial_inequality_removal,[],[f8919]) ).
fof(f8919,plain,
( e2 != e2
| e0 = op(e0,e2)
| sP1
| e4 = op(e4,e2)
| e4 = op(e4,e0)
| sP0 ),
inference(superposition,[],[f1225,f8879]) ).
fof(f8879,plain,
e2 = op(e2,e2),
inference(subsumption_resolution,[],[f8878,f91]) ).
fof(f8878,plain,
( e2 = e4
| e2 = op(e2,e2) ),
inference(forward_demodulation,[],[f8877,f8026]) ).
fof(f8877,plain,
( e2 = op(e2,e2)
| e2 = op(e0,e2) ),
inference(subsumption_resolution,[],[f8876,f84]) ).
fof(f8876,plain,
( e0 = e2
| e2 = op(e2,e2)
| e2 = op(e0,e2) ),
inference(forward_demodulation,[],[f8875,f8094]) ).
fof(f8875,plain,
( e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(subsumption_resolution,[],[f8874,f8720]) ).
fof(f8720,plain,
e2 != op(e3,e2),
inference(superposition,[],[f181,f8696]) ).
fof(f181,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f8874,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(subsumption_resolution,[],[f8830,f90]) ).
fof(f8830,plain,
( e2 = e3
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(superposition,[],[f8740,f247]) ).
fof(f247,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1225,plain,
( e2 != op(e2,e2)
| e0 = op(e0,e2)
| sP1
| e4 = op(e4,e2)
| e4 = op(e4,e0)
| sP0 ),
inference(resolution,[],[f1141,f68]) ).
fof(f68,plain,
( ~ sP2
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e4 != op(e4,e2)
& e3 != op(e3,e2)
& e2 != op(e2,e2)
& e1 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1141,plain,
( sP2
| sP0
| e0 = op(e0,e2)
| sP1
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(trivial_inequality_removal,[],[f1140]) ).
fof(f1140,plain,
( e4 != e4
| sP1
| sP0
| e0 = op(e0,e2)
| sP2
| e4 = op(e4,e2)
| e4 = op(e4,e0) ),
inference(superposition,[],[f1093,f307]) ).
fof(f1093,plain,
( e4 != op(e4,e3)
| sP1
| sP0
| e0 = op(e0,e2)
| sP2 ),
inference(resolution,[],[f1092,f65]) ).
fof(f65,plain,
( ~ sP3
| e4 != op(e4,e3) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e4 != op(e4,e3)
& e3 != op(e3,e3)
& e2 != op(e2,e3)
& e1 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1092,plain,
( sP3
| sP2
| sP1
| sP0
| e0 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1091,f85]) ).
fof(f1091,plain,
( e0 = e3
| sP3
| sP2
| sP1
| sP0
| e0 = op(e0,e2) ),
inference(forward_demodulation,[],[f1090,f378]) ).
fof(f1090,plain,
( sP3
| sP2
| sP1
| sP0
| e0 = op(e0,e2)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1089,f354]) ).
fof(f1089,plain,
( sP3
| sP2
| sP1
| sP0
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f1080,f381]) ).
fof(f1080,plain,
( sP3
| sP2
| sP1
| sP0
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
( e0 != e0
| sP3
| sP2
| sP1
| sP0
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(superposition,[],[f347,f222]) ).
fof(f347,plain,
( e0 != op(e0,e4)
| sP3
| sP2
| sP1
| sP0 ),
inference(resolution,[],[f56,f81]) ).
fof(f81,plain,
( sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f56,plain,
( ~ sP4
| e0 != op(e0,e4) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e4 != op(e4,e4)
& e3 != op(e3,e4)
& e2 != op(e2,e4)
& e1 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG170+1 : TPTP v8.2.0. Released v2.7.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 23:24:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (25020)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (25023)WARNING: value z3 for option sas not known
% 0.15/0.38 % (25024)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (25021)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (25023)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (25025)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (25026)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (25022)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (25027)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40 Detected minimum model sizes of [5]
% 0.15/0.40 Detected maximum model sizes of [max]
% 0.15/0.40 TRYING [5]
% 0.20/0.43 TRYING [6]
% 0.20/0.47 TRYING [7]
% 0.20/0.52 TRYING [8]
% 0.20/0.54 % (25027)First to succeed.
% 0.20/0.54 % (25027)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25020"
% 0.20/0.54 % (25023)Also succeeded, but the first one will report.
% 0.20/0.54 % (25027)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (25027)------------------------------
% 0.20/0.55 % (25027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.55 % (25027)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (25027)Memory used [KB]: 1535
% 0.20/0.55 % (25027)Time elapsed: 0.164 s
% 0.20/0.55 % (25027)Instructions burned: 485 (million)
% 0.20/0.55 % (25020)Success in time 0.19 s
%------------------------------------------------------------------------------