TSTP Solution File: ALG057+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG057+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Sun May 5 04:18:15 EDT 2024
% Result : Theorem 1.73s 0.57s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 134
% Number of leaves : 52
% Syntax : Number of formulae : 583 ( 125 unt; 0 def)
% Number of atoms : 3259 (2276 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 3478 ( 802 ~;2104 |; 572 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 46 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9198,plain,
$false,
inference(subsumption_resolution,[],[f9197,f6484]) ).
fof(f6484,plain,
e4 = op(e0,e4),
inference(superposition,[],[f245,f6471]) ).
fof(f6471,plain,
e0 = unit,
inference(subsumption_resolution,[],[f6470,f4011]) ).
fof(f4011,plain,
( op(e0,e0) != e1
| e0 = unit ),
inference(superposition,[],[f300,f4006]) ).
fof(f4006,plain,
( e1 = op(e0,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f4005,f661]) ).
fof(f661,plain,
( e3 != op(e1,e0)
| e0 = unit ),
inference(superposition,[],[f310,f629]) ).
fof(f629,plain,
( e3 = op(e1,e3)
| e0 = unit ),
inference(superposition,[],[f243,f619]) ).
fof(f619,plain,
( e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f607,f517]) ).
fof(f517,plain,
e3 != op(e2,e3),
inference(superposition,[],[f327,f455]) ).
fof(f455,plain,
e3 = op(e2,e4),
inference(forward_demodulation,[],[f350,f351]) ).
fof(f351,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f350,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f327,plain,
op(e2,e3) != op(e2,e4),
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/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f607,plain,
( e3 = op(e2,e3)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f243,f598]) ).
fof(f598,plain,
( e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f584,f519]) ).
fof(f519,plain,
e1 != op(e3,e1),
inference(superposition,[],[f334,f457]) ).
fof(f457,plain,
e1 = op(e3,e4),
inference(forward_demodulation,[],[f456,f455]) ).
fof(f456,plain,
e1 = op(op(e2,e4),e4),
inference(forward_demodulation,[],[f349,f351]) ).
fof(f349,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f334,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f584,plain,
( e1 = op(e3,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f239,f580]) ).
fof(f580,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f566,f522]) ).
fof(f522,plain,
e0 != op(e4,e0),
inference(superposition,[],[f341,f458]) ).
fof(f458,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[],[f348,f351]) ).
fof(f348,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f341,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f566,plain,
( e0 = op(e4,e0)
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f237,f247]) ).
fof(f247,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f237,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4005,plain,
( e0 = unit
| e1 = op(e0,e3)
| e3 = op(e1,e0) ),
inference(subsumption_resolution,[],[f4004,f660]) ).
fof(f660,plain,
( e3 != op(e1,e1)
| e0 = unit ),
inference(superposition,[],[f313,f629]) ).
fof(f313,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4004,plain,
( e0 = unit
| e1 = op(e0,e3)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(subsumption_resolution,[],[f4003,f659]) ).
fof(f659,plain,
( e3 != op(e1,e2)
| e0 = unit ),
inference(superposition,[],[f315,f629]) ).
fof(f315,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4003,plain,
( e0 = unit
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(subsumption_resolution,[],[f3970,f232]) ).
fof(f232,plain,
e1 != 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/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3970,plain,
( e1 = e3
| e0 = unit
| e1 = op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(superposition,[],[f3968,f3277]) ).
fof(f3277,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(trivial_inequality_removal,[],[f3269]) ).
fof(f3269,plain,
( e3 != e3
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(superposition,[],[f502,f368]) ).
fof(f368,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f502,plain,
e3 != op(e1,e4),
inference(superposition,[],[f292,f455]) ).
fof(f292,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3968,plain,
( e1 = op(e1,e3)
| e0 = unit
| e1 = op(e0,e3) ),
inference(subsumption_resolution,[],[f3948,f623]) ).
fof(f623,plain,
( e0 = op(e1,e0)
| e0 = unit ),
inference(superposition,[],[f237,f619]) ).
fof(f3948,plain,
( e0 != op(e1,e0)
| e0 = unit
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(superposition,[],[f252,f3885]) ).
fof(f3885,plain,
( e0 = op(e2,e0)
| e0 = unit
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(trivial_inequality_removal,[],[f3884]) ).
fof(f3884,plain,
( e1 != e1
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e1,e3)
| e0 = op(e2,e0) ),
inference(duplicate_literal_removal,[],[f3872]) ).
fof(f3872,plain,
( e1 != e1
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e1,e3)
| e0 = op(e2,e0)
| e0 = unit ),
inference(superposition,[],[f3843,f1307]) ).
fof(f1307,plain,
( e1 = op(e2,e0)
| e0 = op(e2,e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f1301,f228]) ).
fof(f228,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1301,plain,
( e0 = e2
| e0 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f1286]) ).
fof(f1286,plain,
( e0 = e2
| e0 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f1281,f628]) ).
fof(f628,plain,
( e2 = op(e2,e1)
| e0 = unit ),
inference(superposition,[],[f242,f619]) ).
fof(f242,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1281,plain,
( e0 = op(e2,e1)
| e0 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f1269,f231]) ).
fof(f231,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1269,plain,
( e1 = e2
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e1 = op(e2,e0)
| e0 = unit ),
inference(superposition,[],[f1180,f628]) ).
fof(f1180,plain,
( e1 = op(e2,e1)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1167,f227]) ).
fof(f227,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1167,plain,
( e0 = e1
| e0 = op(e2,e1)
| e0 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(superposition,[],[f1166,f1096]) ).
fof(f1096,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1083,f232]) ).
fof(f1083,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(superposition,[],[f492,f455]) ).
fof(f492,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f491,f233]) ).
fof(f233,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f491,plain,
( e1 = e4
| e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f374,f351]) ).
fof(f374,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1166,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1152,f229]) ).
fof(f229,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1152,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(superposition,[],[f496,f455]) ).
fof(f496,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f495,f230]) ).
fof(f230,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f495,plain,
( e0 = e4
| e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(forward_demodulation,[],[f372,f351]) ).
fof(f372,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3843,plain,
( e1 != op(e2,e0)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e1,e3) ),
inference(superposition,[],[f320,f3838]) ).
fof(f3838,plain,
( e1 = op(e2,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e1,e3) ),
inference(subsumption_resolution,[],[f3837,f678]) ).
fof(f678,plain,
( e4 != op(e0,e1)
| e0 = unit ),
inference(superposition,[],[f261,f632]) ).
fof(f632,plain,
( e4 = op(e4,e1)
| e0 = unit ),
inference(superposition,[],[f246,f619]) ).
fof(f246,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f261,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3837,plain,
( e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e2,e3)
| e4 = op(e0,e1) ),
inference(subsumption_resolution,[],[f3836,f672]) ).
fof(f672,plain,
( e4 != op(e1,e1)
| e0 = unit ),
inference(superposition,[],[f314,f631]) ).
fof(f631,plain,
( e4 = op(e1,e4)
| e0 = unit ),
inference(superposition,[],[f245,f619]) ).
fof(f314,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3836,plain,
( e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e2,e3)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(subsumption_resolution,[],[f3835,f681]) ).
fof(f681,plain,
( e4 != op(e3,e1)
| e0 = unit ),
inference(superposition,[],[f267,f632]) ).
fof(f267,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f3835,plain,
( e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e2,e3)
| e4 = op(e3,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(subsumption_resolution,[],[f3834,f513]) ).
fof(f513,plain,
e4 != op(e2,e1),
inference(superposition,[],[f322,f351]) ).
fof(f322,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3834,plain,
( e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e2,e3)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(subsumption_resolution,[],[f3794,f236]) ).
fof(f236,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3794,plain,
( e3 = e4
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e2,e3)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(superposition,[],[f3716,f371]) ).
fof(f371,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3716,plain,
( e3 = op(e4,e1)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e1 = op(e2,e3) ),
inference(subsumption_resolution,[],[f3715,f521]) ).
fof(f521,plain,
e1 != op(e3,e3),
inference(superposition,[],[f337,f457]) ).
fof(f337,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3715,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e3 = op(e4,e1) ),
inference(subsumption_resolution,[],[f3683,f231]) ).
fof(f3683,plain,
( e1 = e2
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3)
| e0 = unit
| e3 = op(e4,e1) ),
inference(superposition,[],[f385,f838]) ).
fof(f838,plain,
( e2 = op(e4,e3)
| e0 = unit
| e3 = op(e4,e1) ),
inference(subsumption_resolution,[],[f837,f524]) ).
fof(f524,plain,
e0 != op(e4,e2),
inference(superposition,[],[f346,f458]) ).
fof(f346,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f837,plain,
( e0 = op(e4,e2)
| e3 = op(e4,e1)
| e0 = unit
| e2 = op(e4,e3) ),
inference(duplicate_literal_removal,[],[f836]) ).
fof(f836,plain,
( e0 = op(e4,e2)
| e3 = op(e4,e1)
| e0 = unit
| e2 = op(e4,e3)
| e0 = unit ),
inference(superposition,[],[f826,f786]) ).
fof(f786,plain,
( e2 = op(e0,e4)
| e0 = unit ),
inference(subsumption_resolution,[],[f774,f235]) ).
fof(f235,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f774,plain,
( e2 = e4
| e2 = op(e0,e4)
| e0 = unit ),
inference(superposition,[],[f773,f631]) ).
fof(f773,plain,
( e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f763,f234]) ).
fof(f234,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f763,plain,
( e2 = e3
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(superposition,[],[f472,f455]) ).
fof(f472,plain,
( e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f471,f231]) ).
fof(f471,plain,
( e1 = e2
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f470,f457]) ).
fof(f470,plain,
( e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f469,f228]) ).
fof(f469,plain,
( e0 = e2
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f397,f458]) ).
fof(f397,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f826,plain,
( e0 = op(e4,op(e0,e4))
| e3 = op(e4,e1)
| e0 = unit
| e2 = op(e4,e3) ),
inference(resolution,[],[f824,f183]) ).
fof(f183,plain,
( ~ sP16
| e0 = op(e4,op(e0,e4)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f824,plain,
( sP16
| e2 = op(e4,e3)
| e3 = op(e4,e1)
| e0 = unit ),
inference(subsumption_resolution,[],[f822,f631]) ).
fof(f822,plain,
( e4 != op(e1,e4)
| e2 = op(e4,e3)
| sP16
| e3 = op(e4,e1)
| e0 = unit ),
inference(superposition,[],[f557,f631]) ).
fof(f557,plain,
( e4 != op(e1,op(e1,e4))
| e2 = op(e4,e3)
| sP16
| e3 = op(e4,e1) ),
inference(resolution,[],[f533,f180]) ).
fof(f180,plain,
( ~ sP17
| e4 != op(e1,op(e1,e4)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f533,plain,
( sP17
| e3 = op(e4,e1)
| e2 = op(e4,e3)
| sP16 ),
inference(forward_demodulation,[],[f532,f455]) ).
fof(f532,plain,
( e2 = op(e4,op(e2,e4))
| e3 = op(e4,e1)
| sP17
| sP16 ),
inference(resolution,[],[f179,f529]) ).
fof(f529,plain,
( sP18
| e3 = op(e4,e1)
| sP17
| sP16 ),
inference(forward_demodulation,[],[f528,f457]) ).
fof(f528,plain,
( e3 = op(e4,op(e3,e4))
| sP18
| sP17
| sP16 ),
inference(resolution,[],[f177,f446]) ).
fof(f446,plain,
( sP19
| sP18
| sP17
| sP16 ),
inference(subsumption_resolution,[],[f224,f225]) ).
fof(f225,plain,
( sP19
| e4 = op(e4,op(e4,e4))
| sP18
| sP17
| sP16 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| sP19
| sP18
| sP17
| sP16 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| sP15
| sP14
| sP13
| sP12 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| sP11
| sP10
| sP9
| sP8 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| sP7
| sP6
| sP5
| sP4 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f9,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f28,plain,
( ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f224,plain,
( e4 != op(e4,op(e4,e4))
| sP19
| sP18
| sP17
| sP16 ),
inference(cnf_transformation,[],[f55]) ).
fof(f177,plain,
( ~ sP19
| e3 = op(e4,op(e3,e4)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f179,plain,
( ~ sP18
| e2 = op(e4,op(e2,e4)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f385,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f320,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f252,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f300,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f6470,plain,
( e0 = unit
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f6469,f648]) ).
fof(f648,plain,
( e1 != op(e0,e1)
| e0 = unit ),
inference(superposition,[],[f258,f625]) ).
fof(f625,plain,
( e1 = op(e1,e1)
| e0 = unit ),
inference(superposition,[],[f239,f619]) ).
fof(f258,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f6469,plain,
( e0 = unit
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f6468,f4013]) ).
fof(f4013,plain,
( e1 != op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f305,f4006]) ).
fof(f305,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f6468,plain,
( e0 = unit
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f6417,f233]) ).
fof(f6417,plain,
( e1 = e4
| e0 = unit
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(superposition,[],[f6414,f2319]) ).
fof(f2319,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(trivial_inequality_removal,[],[f2308]) ).
fof(f2308,plain,
( e1 != e1
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(superposition,[],[f500,f354]) ).
fof(f354,plain,
( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f500,plain,
e1 != op(e0,e4),
inference(superposition,[],[f290,f457]) ).
fof(f290,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f6414,plain,
( e4 = op(e0,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f6413,f4011]) ).
fof(f6413,plain,
( op(e0,e0) = e1
| e4 = op(e0,e3)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f6412]) ).
fof(f6412,plain,
( op(e0,e0) = e1
| e4 = op(e0,e3)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f6410,f623]) ).
fof(f6410,plain,
( e1 = op(e0,op(e1,e0))
| e4 = op(e0,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f6409,f5414]) ).
fof(f5414,plain,
( e0 != op(e2,e0)
| e0 = unit ),
inference(superposition,[],[f320,f5405]) ).
fof(f5405,plain,
( e0 = op(e2,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f5370,f4006]) ).
fof(f5370,plain,
( e1 != op(e0,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f279,f5365]) ).
fof(f5365,plain,
( e1 = op(e2,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(trivial_inequality_removal,[],[f5350]) ).
fof(f5350,plain,
( e2 != e2
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f5290,f628]) ).
fof(f5290,plain,
( e2 != op(e2,e1)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f323,f5282]) ).
fof(f5282,plain,
( e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f5281,f517]) ).
fof(f5281,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f5251,f351]) ).
fof(f5251,plain,
( e4 != op(e2,e2)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f325,f415]) ).
fof(f415,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f325,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f323,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f279,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f6409,plain,
( e0 = unit
| e4 = op(e0,e3)
| e1 = op(e0,op(e1,e0))
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f6407,f657]) ).
fof(f657,plain,
( e2 != op(e0,e1)
| e0 = unit ),
inference(superposition,[],[f259,f628]) ).
fof(f259,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f6407,plain,
( e2 = op(e0,e1)
| e0 = unit
| e4 = op(e0,e3)
| e1 = op(e0,op(e1,e0))
| e0 = op(e2,e0) ),
inference(duplicate_literal_removal,[],[f6393]) ).
fof(f6393,plain,
( e2 = op(e0,e1)
| e0 = unit
| e4 = op(e0,e3)
| e1 = op(e0,op(e1,e0))
| e0 = op(e2,e0)
| e0 = unit ),
inference(superposition,[],[f6390,f1307]) ).
fof(f6390,plain,
( e2 = op(e0,op(e2,e0))
| e0 = unit
| e4 = op(e0,e3)
| e1 = op(e0,op(e1,e0)) ),
inference(subsumption_resolution,[],[f6389,f1748]) ).
fof(f1748,plain,
( op(e0,e0) != e3
| e0 = unit ),
inference(superposition,[],[f299,f1746]) ).
fof(f1746,plain,
( e3 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f1734,f623]) ).
fof(f1734,plain,
( e0 != op(e1,e0)
| e3 = op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f252,f1730]) ).
fof(f1730,plain,
( e0 = op(e2,e0)
| e3 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f1715,f630]) ).
fof(f630,plain,
( e3 = op(e3,e1)
| e0 = unit ),
inference(superposition,[],[f244,f619]) ).
fof(f244,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1715,plain,
( e3 != op(e3,e1)
| e0 = unit
| e3 = op(e0,e2)
| e0 = op(e2,e0) ),
inference(superposition,[],[f332,f1708]) ).
fof(f1708,plain,
( e3 = op(e3,e2)
| e0 = unit
| e3 = op(e0,e2)
| e0 = op(e2,e0) ),
inference(trivial_inequality_removal,[],[f1707]) ).
fof(f1707,plain,
( e1 != e1
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e0 = op(e2,e0) ),
inference(duplicate_literal_removal,[],[f1704]) ).
fof(f1704,plain,
( e1 != e1
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e0 = op(e2,e0)
| e0 = unit ),
inference(superposition,[],[f1685,f1307]) ).
fof(f1685,plain,
( e1 != op(e2,e0)
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2) ),
inference(superposition,[],[f256,f1681]) ).
fof(f1681,plain,
( e1 = op(e4,e0)
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1678,f233]) ).
fof(f1678,plain,
( e1 = e4
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f1654]) ).
fof(f1654,plain,
( e1 = e4
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f1533,f632]) ).
fof(f1533,plain,
( e1 = op(e4,e1)
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1532,f659]) ).
fof(f1532,plain,
( e1 = op(e4,e1)
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1531,f991]) ).
fof(f991,plain,
( e3 != op(e4,e1)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(superposition,[],[f342,f484]) ).
fof(f484,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f483,f236]) ).
fof(f483,plain,
( e3 = e4
| e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f379,f351]) ).
fof(f379,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1531,plain,
( e1 = op(e4,e1)
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e4,e1)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1510,f232]) ).
fof(f1510,plain,
( e1 = e3
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e4,e1)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(superposition,[],[f948,f484]) ).
fof(f948,plain,
( e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e4,e1) ),
inference(subsumption_resolution,[],[f931,f231]) ).
fof(f931,plain,
( e1 = e2
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0)
| e0 = unit
| e3 = op(e4,e1) ),
inference(superposition,[],[f476,f838]) ).
fof(f476,plain,
( e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(subsumption_resolution,[],[f475,f227]) ).
fof(f475,plain,
( e0 = e1
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(forward_demodulation,[],[f394,f458]) ).
fof(f394,plain,
( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f256,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f332,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f299,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f6389,plain,
( e4 = op(e0,e3)
| e0 = unit
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f6388,f661]) ).
fof(f6388,plain,
( e4 = op(e0,e3)
| e0 = unit
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f6387,f666]) ).
fof(f666,plain,
( e3 != op(e3,e0)
| e0 = unit ),
inference(superposition,[],[f328,f630]) ).
fof(f328,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f6387,plain,
( e4 = op(e0,e3)
| e0 = unit
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f6379,f512]) ).
fof(f512,plain,
e3 != op(e2,e0),
inference(superposition,[],[f321,f455]) ).
fof(f321,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f6379,plain,
( e4 = op(e0,e3)
| e0 = unit
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(superposition,[],[f6305,f359]) ).
fof(f359,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f6305,plain,
( e4 = op(e0,op(e4,e0))
| e0 = unit
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0)) ),
inference(resolution,[],[f6276,f213]) ).
fof(f213,plain,
( ~ sP1
| e1 = op(e0,op(e1,e0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f6276,plain,
( sP1
| e4 = op(e0,op(e4,e0))
| e0 = unit
| e2 = op(e0,op(e2,e0)) ),
inference(resolution,[],[f6226,f211]) ).
fof(f211,plain,
( ~ sP2
| e2 = op(e0,op(e2,e0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f6226,plain,
( sP2
| sP1
| e4 = op(e0,op(e4,e0))
| e0 = unit ),
inference(trivial_inequality_removal,[],[f6225]) ).
fof(f6225,plain,
( e0 != e0
| sP2
| sP1
| e4 = op(e0,op(e4,e0))
| e0 = unit ),
inference(duplicate_literal_removal,[],[f6205]) ).
fof(f6205,plain,
( e0 != e0
| sP2
| sP1
| e4 = op(e0,op(e4,e0))
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f1593,f6183]) ).
fof(f6183,plain,
( e0 = op(e3,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f6140,f627]) ).
fof(f627,plain,
( e2 = op(e1,e2)
| e0 = unit ),
inference(superposition,[],[f241,f619]) ).
fof(f241,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f6140,plain,
( e2 != op(e1,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(superposition,[],[f273,f6130]) ).
fof(f6130,plain,
( e2 = op(e3,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(trivial_inequality_removal,[],[f6128]) ).
fof(f6128,plain,
( e3 != e3
| e2 = op(e3,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(superposition,[],[f6092,f1746]) ).
fof(f6092,plain,
( e3 != op(e0,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f270,f6085]) ).
fof(f6085,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(subsumption_resolution,[],[f6084,f520]) ).
fof(f520,plain,
e1 != op(e3,e2),
inference(superposition,[],[f336,f457]) ).
fof(f336,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f6084,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(subsumption_resolution,[],[f6056,f351]) ).
fof(f6056,plain,
( e4 != op(e2,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f275,f419]) ).
fof(f419,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f275,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f270,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f273,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1593,plain,
( e0 != op(e3,e2)
| sP2
| sP1
| e4 = op(e0,op(e4,e0))
| e0 = unit ),
inference(superposition,[],[f541,f1587]) ).
fof(f1587,plain,
( e2 = op(e3,e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f1586,f234]) ).
fof(f1586,plain,
( e2 = e3
| e0 = unit
| e2 = op(e3,e0) ),
inference(duplicate_literal_removal,[],[f1573]) ).
fof(f1573,plain,
( e2 = e3
| e0 = unit
| e2 = op(e3,e0)
| e0 = unit ),
inference(superposition,[],[f1572,f630]) ).
fof(f1572,plain,
( e2 = op(e3,e1)
| e0 = unit
| e2 = op(e3,e0) ),
inference(subsumption_resolution,[],[f1560,f627]) ).
fof(f1560,plain,
( e2 != op(e1,e2)
| e0 = unit
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(superposition,[],[f273,f1557]) ).
fof(f1557,plain,
( e2 = op(e3,e2)
| e0 = unit
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(subsumption_resolution,[],[f1556,f236]) ).
fof(f1556,plain,
( e3 = e4
| e0 = unit
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(duplicate_literal_removal,[],[f1536]) ).
fof(f1536,plain,
( e3 = e4
| e0 = unit
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| e0 = unit ),
inference(superposition,[],[f983,f632]) ).
fof(f983,plain,
( e3 = op(e4,e1)
| e0 = unit
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(trivial_inequality_removal,[],[f982]) ).
fof(f982,plain,
( e2 != e2
| e0 = unit
| e3 = op(e4,e1)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(superposition,[],[f842,f482]) ).
fof(f482,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(subsumption_resolution,[],[f481,f231]) ).
fof(f481,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(forward_demodulation,[],[f386,f457]) ).
fof(f386,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f842,plain,
( e2 != op(e3,e3)
| e0 = unit
| e3 = op(e4,e1) ),
inference(superposition,[],[f287,f838]) ).
fof(f287,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f541,plain,
( e0 != op(e3,op(e3,e0))
| sP2
| sP1
| e4 = op(e0,op(e4,e0)) ),
inference(resolution,[],[f453,f208]) ).
fof(f208,plain,
( ~ sP3
| e0 != op(e3,op(e3,e0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f453,plain,
( sP3
| e4 = op(e0,op(e4,e0))
| sP2
| sP1 ),
inference(subsumption_resolution,[],[f217,f440]) ).
fof(f440,plain,
~ sP0,
inference(subsumption_resolution,[],[f214,f215]) ).
fof(f215,plain,
( ~ sP0
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f214,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f217,plain,
( e4 = op(e0,op(e4,e0))
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f245,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f9197,plain,
e4 != op(e0,e4),
inference(forward_demodulation,[],[f9193,f6485]) ).
fof(f6485,plain,
e4 = op(e4,e0),
inference(superposition,[],[f246,f6471]) ).
fof(f9193,plain,
op(e0,e4) != op(e4,e0),
inference(unit_resulting_resolution,[],[f9190,f161]) ).
fof(f161,plain,
( ~ sP24
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f9190,plain,
sP24,
inference(subsumption_resolution,[],[f9189,f6478]) ).
fof(f6478,plain,
e1 = op(e0,e1),
inference(superposition,[],[f239,f6471]) ).
fof(f9189,plain,
( e1 != op(e0,e1)
| sP24 ),
inference(forward_demodulation,[],[f9188,f6479]) ).
fof(f6479,plain,
e1 = op(e1,e0),
inference(superposition,[],[f240,f6471]) ).
fof(f240,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f9188,plain,
( sP24
| op(e0,e1) != op(e1,e0) ),
inference(subsumption_resolution,[],[f9185,f170]) ).
fof(f170,plain,
( ~ sP21
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f9185,plain,
( sP21
| sP24
| op(e0,e1) != op(e1,e0) ),
inference(resolution,[],[f9182,f158]) ).
fof(f158,plain,
( ~ sP25
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f9182,plain,
( sP25
| sP21
| sP24 ),
inference(subsumption_resolution,[],[f9181,f7439]) ).
fof(f7439,plain,
e2 = op(e3,e1),
inference(subsumption_resolution,[],[f7438,f231]) ).
fof(f7438,plain,
( e1 = e2
| e2 = op(e3,e1) ),
inference(forward_demodulation,[],[f7437,f6478]) ).
fof(f7437,plain,
( e2 = op(e3,e1)
| e2 = op(e0,e1) ),
inference(subsumption_resolution,[],[f7436,f228]) ).
fof(f7436,plain,
( e0 = e2
| e2 = op(e3,e1)
| e2 = op(e0,e1) ),
inference(forward_demodulation,[],[f7435,f6570]) ).
fof(f6570,plain,
e0 = op(e2,e1),
inference(subsumption_resolution,[],[f6569,f231]) ).
fof(f6569,plain,
( e1 = e2
| e0 = op(e2,e1) ),
inference(forward_demodulation,[],[f6568,f6481]) ).
fof(f6481,plain,
e2 = op(e2,e0),
inference(superposition,[],[f242,f6471]) ).
fof(f6568,plain,
( e0 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f6567,f228]) ).
fof(f6567,plain,
( e0 = e2
| e0 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f6564,f6481]) ).
fof(f6564,plain,
( e0 = op(e2,e0)
| e0 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(trivial_inequality_removal,[],[f6555]) ).
fof(f6555,plain,
( e1 != e1
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(superposition,[],[f1270,f6478]) ).
fof(f1270,plain,
( e1 != op(e0,e1)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(superposition,[],[f259,f1180]) ).
fof(f7435,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(subsumption_resolution,[],[f7434,f6899]) ).
fof(f6899,plain,
e2 != op(e1,e1),
inference(superposition,[],[f314,f6761]) ).
fof(f6761,plain,
e2 = op(e1,e4),
inference(unit_resulting_resolution,[],[f6484,f4932]) ).
fof(f4932,plain,
( e4 != op(e0,e4)
| e2 = op(e1,e4) ),
inference(subsumption_resolution,[],[f4931,f504]) ).
fof(f504,plain,
e0 != op(e1,e4),
inference(superposition,[],[f294,f458]) ).
fof(f294,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4931,plain,
( e4 != op(e0,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(subsumption_resolution,[],[f4930,f503]) ).
fof(f503,plain,
e1 != op(e1,e4),
inference(superposition,[],[f293,f457]) ).
fof(f293,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4930,plain,
( e4 != op(e0,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(subsumption_resolution,[],[f4910,f502]) ).
fof(f4910,plain,
( e4 != op(e0,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(superposition,[],[f288,f411]) ).
fof(f411,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f288,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f7434,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(subsumption_resolution,[],[f7396,f234]) ).
fof(f7396,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(superposition,[],[f7393,f367]) ).
fof(f367,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f7393,plain,
e3 = op(e4,e1),
inference(subsumption_resolution,[],[f7392,f236]) ).
fof(f7392,plain,
( e3 = e4
| e3 = op(e4,e1) ),
inference(forward_demodulation,[],[f7391,f7310]) ).
fof(f7310,plain,
e4 = op(e1,e1),
inference(subsumption_resolution,[],[f7309,f227]) ).
fof(f7309,plain,
( e0 = e1
| e4 = op(e1,e1) ),
inference(forward_demodulation,[],[f7308,f6479]) ).
fof(f7308,plain,
( e4 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f7307,f6866]) ).
fof(f6866,plain,
e0 != op(e1,e1),
inference(superposition,[],[f262,f6570]) ).
fof(f262,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f7307,plain,
( e4 = op(e1,e1)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f7306,f7194]) ).
fof(f7194,plain,
e0 != op(e1,e2),
inference(superposition,[],[f273,f7183]) ).
fof(f7183,plain,
e0 = op(e3,e2),
inference(subsumption_resolution,[],[f7153,f6480]) ).
fof(f6480,plain,
e2 = op(e0,e2),
inference(superposition,[],[f241,f6471]) ).
fof(f7153,plain,
( e2 != op(e0,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f270,f6750]) ).
fof(f6750,plain,
( e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(trivial_inequality_removal,[],[f6748]) ).
fof(f6748,plain,
( e3 != e3
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f6095,f6483]) ).
fof(f6483,plain,
e3 = op(e3,e0),
inference(superposition,[],[f244,f6471]) ).
fof(f6095,plain,
( e3 != op(e3,e0)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f329,f6085]) ).
fof(f329,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f7306,plain,
( e4 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f7261,f230]) ).
fof(f7261,plain,
( e0 = e4
| e4 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(superposition,[],[f6801,f2896]) ).
fof(f2896,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(trivial_inequality_removal,[],[f2890]) ).
fof(f2890,plain,
( e0 != e0
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(superposition,[],[f504,f362]) ).
fof(f362,plain,
( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f6801,plain,
( e4 = op(e1,e3)
| e4 = op(e1,e1) ),
inference(subsumption_resolution,[],[f6800,f233]) ).
fof(f6800,plain,
( e1 = e4
| e4 = op(e1,e3)
| e4 = op(e1,e1) ),
inference(forward_demodulation,[],[f6793,f6479]) ).
fof(f6793,plain,
( e4 = op(e1,e3)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(trivial_inequality_removal,[],[f6787]) ).
fof(f6787,plain,
( e4 != e4
| e4 = op(e1,e3)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(superposition,[],[f3400,f6484]) ).
fof(f3400,plain,
( e4 != op(e0,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(subsumption_resolution,[],[f3380,f498]) ).
fof(f498,plain,
e4 != op(e1,e2),
inference(superposition,[],[f272,f351]) ).
fof(f272,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3380,plain,
( e4 != op(e0,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(superposition,[],[f288,f370]) ).
fof(f370,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f7391,plain,
( e3 = op(e4,e1)
| e3 = op(e1,e1) ),
inference(trivial_inequality_removal,[],[f7385]) ).
fof(f7385,plain,
( e3 != e3
| e3 = op(e4,e1)
| e3 = op(e1,e1) ),
inference(superposition,[],[f7049,f6720]) ).
fof(f6720,plain,
( e3 = op(e1,e2)
| e3 = op(e1,e1) ),
inference(subsumption_resolution,[],[f6719,f232]) ).
fof(f6719,plain,
( e1 = e3
| e3 = op(e1,e2)
| e3 = op(e1,e1) ),
inference(forward_demodulation,[],[f6710,f6479]) ).
fof(f6710,plain,
( e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(trivial_inequality_removal,[],[f6701]) ).
fof(f6701,plain,
( e3 != e3
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(superposition,[],[f3283,f6482]) ).
fof(f6482,plain,
e3 = op(e0,e3),
inference(superposition,[],[f243,f6471]) ).
fof(f3283,plain,
( e3 != op(e0,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(superposition,[],[f278,f3277]) ).
fof(f278,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f7049,plain,
( e3 != op(e1,e2)
| e3 = op(e4,e1) ),
inference(superposition,[],[f274,f6718]) ).
fof(f6718,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e1) ),
inference(subsumption_resolution,[],[f6717,f236]) ).
fof(f6717,plain,
( e3 = e4
| e3 = op(e4,e2)
| e3 = op(e4,e1) ),
inference(forward_demodulation,[],[f6712,f6485]) ).
fof(f6712,plain,
( e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(trivial_inequality_removal,[],[f6684]) ).
fof(f6684,plain,
( e3 != e3
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(superposition,[],[f871,f6482]) ).
fof(f871,plain,
( e3 != op(e0,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(superposition,[],[f281,f468]) ).
fof(f468,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f467,f229]) ).
fof(f467,plain,
( e0 = e3
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f398,f458]) ).
fof(f398,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f281,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f274,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f9181,plain,
( e2 != op(e3,e1)
| sP24
| sP21
| sP25 ),
inference(forward_demodulation,[],[f9178,f7447]) ).
fof(f7447,plain,
e3 = op(e1,e2),
inference(subsumption_resolution,[],[f7446,f234]) ).
fof(f7446,plain,
( e2 = e3
| e3 = op(e1,e2) ),
inference(forward_demodulation,[],[f7445,f6480]) ).
fof(f7445,plain,
( e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f7444,f229]) ).
fof(f7444,plain,
( e0 = e3
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f7432,f7183]) ).
fof(f7432,plain,
( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(trivial_inequality_removal,[],[f7414]) ).
fof(f7414,plain,
( e3 != e3
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(superposition,[],[f991,f7393]) ).
fof(f9178,plain,
( sP24
| sP21
| sP25
| e2 != op(op(e1,e2),e1) ),
inference(resolution,[],[f9177,f154]) ).
fof(f154,plain,
( ~ sP27
| e2 != op(op(e1,e2),e1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
fof(f9177,plain,
( sP27
| sP24
| sP21
| sP25 ),
inference(subsumption_resolution,[],[f9176,f8668]) ).
fof(f8668,plain,
e1 != op(e0,e3),
inference(superposition,[],[f279,f8595]) ).
fof(f8595,plain,
e1 = op(e2,e3),
inference(subsumption_resolution,[],[f8594,f232]) ).
fof(f8594,plain,
( e1 = e3
| e1 = op(e2,e3) ),
inference(forward_demodulation,[],[f8593,f6482]) ).
fof(f8593,plain,
( e1 = op(e2,e3)
| e1 = op(e0,e3) ),
inference(subsumption_resolution,[],[f8592,f227]) ).
fof(f8592,plain,
( e0 = e1
| e1 = op(e2,e3)
| e1 = op(e0,e3) ),
inference(forward_demodulation,[],[f8590,f7757]) ).
fof(f7757,plain,
e0 = op(e1,e3),
inference(subsumption_resolution,[],[f7724,f6570]) ).
fof(f7724,plain,
( e0 != op(e2,e1)
| e0 = op(e1,e3) ),
inference(superposition,[],[f323,f7223]) ).
fof(f7223,plain,
( e0 = op(e2,e3)
| e0 = op(e1,e3) ),
inference(subsumption_resolution,[],[f7222,f229]) ).
fof(f7222,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e1,e3) ),
inference(forward_demodulation,[],[f7219,f6482]) ).
fof(f7219,plain,
( e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(trivial_inequality_removal,[],[f7213]) ).
fof(f7213,plain,
( e0 != e0
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(superposition,[],[f3647,f7183]) ).
fof(f3647,plain,
( e0 != op(e3,e2)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(superposition,[],[f335,f3632]) ).
fof(f3632,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(trivial_inequality_removal,[],[f3623]) ).
fof(f3623,plain,
( e0 != e0
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(superposition,[],[f525,f383]) ).
fof(f383,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f525,plain,
e0 != op(e4,e3),
inference(superposition,[],[f347,f458]) ).
fof(f347,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f335,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f8590,plain,
( e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(trivial_inequality_removal,[],[f8583]) ).
fof(f8583,plain,
( e1 != e1
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(superposition,[],[f3721,f8553]) ).
fof(f8553,plain,
e1 = op(e4,e2),
inference(subsumption_resolution,[],[f8510,f6480]) ).
fof(f8510,plain,
( e2 != op(e0,e2)
| e1 = op(e4,e2) ),
inference(superposition,[],[f271,f8493]) ).
fof(f8493,plain,
( e2 = op(e4,e2)
| e1 = op(e4,e2) ),
inference(subsumption_resolution,[],[f8455,f7447]) ).
fof(f8455,plain,
( e3 != op(e1,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2) ),
inference(superposition,[],[f274,f8441]) ).
fof(f8441,plain,
( e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2) ),
inference(subsumption_resolution,[],[f8440,f524]) ).
fof(f8440,plain,
( e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(subsumption_resolution,[],[f8403,f351]) ).
fof(f8403,plain,
( e4 != op(e2,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(superposition,[],[f276,f424]) ).
fof(f424,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f276,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f271,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3721,plain,
( e1 != op(e4,e2)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(subsumption_resolution,[],[f3691,f521]) ).
fof(f3691,plain,
( e1 != op(e4,e2)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(superposition,[],[f345,f385]) ).
fof(f345,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f9176,plain,
( e1 = op(e0,e3)
| sP25
| sP24
| sP21
| sP27 ),
inference(forward_demodulation,[],[f9172,f7757]) ).
fof(f9172,plain,
( sP25
| sP24
| sP21
| sP27
| e1 = op(op(e1,e3),e3) ),
inference(resolution,[],[f9170,f150]) ).
fof(f150,plain,
( ~ sP28
| e1 = op(op(e1,e3),e3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP28 ),
inference(nnf_transformation,[],[f38]) ).
fof(f9170,plain,
( sP28
| sP25
| sP24
| sP21
| sP27 ),
inference(subsumption_resolution,[],[f9169,f505]) ).
fof(f505,plain,
e1 != op(e2,e4),
inference(superposition,[],[f295,f457]) ).
fof(f295,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f9169,plain,
( e1 = op(e2,e4)
| sP27
| sP25
| sP24
| sP21
| sP28 ),
inference(forward_demodulation,[],[f9166,f6761]) ).
fof(f9166,plain,
( sP27
| sP25
| sP24
| sP21
| sP28
| e1 = op(op(e1,e4),e4) ),
inference(resolution,[],[f9164,f147]) ).
fof(f147,plain,
( ~ sP29
| e1 = op(op(e1,e4),e4) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP29 ),
inference(nnf_transformation,[],[f39]) ).
fof(f9164,plain,
( sP29
| sP27
| sP25
| sP24
| sP21
| sP28 ),
inference(subsumption_resolution,[],[f9163,f6480]) ).
fof(f9163,plain,
( e2 != op(e0,e2)
| sP28
| sP27
| sP25
| sP24
| sP21
| sP29 ),
inference(forward_demodulation,[],[f9162,f6481]) ).
fof(f9162,plain,
( sP28
| sP27
| sP25
| sP24
| sP21
| sP29
| op(e0,e2) != op(e2,e0) ),
inference(subsumption_resolution,[],[f9159,f167]) ).
fof(f167,plain,
( ~ sP22
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f9159,plain,
( sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP29
| op(e0,e2) != op(e2,e0) ),
inference(resolution,[],[f9156,f143]) ).
fof(f143,plain,
( ~ sP30
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f40]) ).
fof(f9156,plain,
( sP30
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP29 ),
inference(subsumption_resolution,[],[f9155,f231]) ).
fof(f9155,plain,
( e1 = e2
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP30 ),
inference(forward_demodulation,[],[f9154,f6478]) ).
fof(f9154,plain,
( e2 = op(e0,e1)
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP30 ),
inference(forward_demodulation,[],[f9151,f6570]) ).
fof(f9151,plain,
( sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP30
| e2 = op(op(e2,e1),e1) ),
inference(resolution,[],[f9149,f141]) ).
fof(f141,plain,
( ~ sP31
| e2 = op(op(e2,e1),e1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP31 ),
inference(nnf_transformation,[],[f41]) ).
fof(f9149,plain,
( sP31
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP30 ),
inference(subsumption_resolution,[],[f9148,f7447]) ).
fof(f9148,plain,
( e3 != op(e1,e2)
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP31 ),
inference(forward_demodulation,[],[f9145,f8595]) ).
fof(f9145,plain,
( sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP31
| e3 != op(op(e2,e3),e2) ),
inference(resolution,[],[f9144,f136]) ).
fof(f136,plain,
( ~ sP33
| e3 != op(op(e2,e3),e2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP33 ),
inference(nnf_transformation,[],[f43]) ).
fof(f9144,plain,
( sP33
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP31 ),
inference(subsumption_resolution,[],[f9143,f231]) ).
fof(f9143,plain,
( e1 = e2
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP33 ),
inference(forward_demodulation,[],[f9142,f457]) ).
fof(f9142,plain,
( e2 = op(e3,e4)
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP33 ),
inference(forward_demodulation,[],[f9138,f455]) ).
fof(f9138,plain,
( sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP33
| e2 = op(op(e2,e4),e4) ),
inference(resolution,[],[f9136,f132]) ).
fof(f132,plain,
( ~ sP34
| e2 = op(op(e2,e4),e4) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP34 ),
inference(nnf_transformation,[],[f44]) ).
fof(f9136,plain,
( sP34
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP33 ),
inference(subsumption_resolution,[],[f9135,f6482]) ).
fof(f9135,plain,
( e3 != op(e0,e3)
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP34 ),
inference(forward_demodulation,[],[f9134,f6483]) ).
fof(f9134,plain,
( sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP22
| sP21
| sP34
| op(e0,e3) != op(e3,e0) ),
inference(subsumption_resolution,[],[f9130,f164]) ).
fof(f164,plain,
( ~ sP23
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f9130,plain,
( sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP34
| op(e0,e3) != op(e3,e0) ),
inference(resolution,[],[f9127,f128]) ).
fof(f128,plain,
( ~ sP35
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f45]) ).
fof(f9127,plain,
( sP35
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP34 ),
inference(subsumption_resolution,[],[f9126,f8595]) ).
fof(f9126,plain,
( e1 != op(e2,e3)
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP35 ),
inference(forward_demodulation,[],[f9123,f7439]) ).
fof(f9123,plain,
( sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP35
| e1 != op(op(e3,e1),e3) ),
inference(resolution,[],[f9122,f127]) ).
fof(f127,plain,
( ~ sP36
| e1 != op(op(e3,e1),e3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f46]) ).
fof(f9122,plain,
( sP36
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP35 ),
inference(subsumption_resolution,[],[f9121,f234]) ).
fof(f9121,plain,
( e2 = e3
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP36 ),
inference(forward_demodulation,[],[f9120,f6480]) ).
fof(f9120,plain,
( e3 = op(e0,e2)
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP36 ),
inference(forward_demodulation,[],[f9116,f7183]) ).
fof(f9116,plain,
( sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP36
| e3 = op(op(e3,e2),e2) ),
inference(resolution,[],[f9114,f123]) ).
fof(f123,plain,
( ~ sP37
| e3 = op(op(e3,e2),e2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP37 ),
inference(nnf_transformation,[],[f47]) ).
fof(f9114,plain,
( sP37
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP36 ),
inference(subsumption_resolution,[],[f9113,f502]) ).
fof(f9113,plain,
( e3 = op(e1,e4)
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP37 ),
inference(forward_demodulation,[],[f9109,f457]) ).
fof(f9109,plain,
( sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP37
| e3 = op(op(e3,e4),e4) ),
inference(resolution,[],[f9107,f117]) ).
fof(f117,plain,
( ~ sP39
| e3 = op(op(e3,e4),e4) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP39 ),
inference(nnf_transformation,[],[f49]) ).
fof(f9107,plain,
( sP39
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP37 ),
inference(subsumption_resolution,[],[f9106,f458]) ).
fof(f9106,plain,
( e0 != op(e4,e4)
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP39 ),
inference(forward_demodulation,[],[f9103,f6485]) ).
fof(f9103,plain,
( sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP39
| e0 != op(op(e4,e0),e4) ),
inference(resolution,[],[f9102,f115]) ).
fof(f115,plain,
( ~ sP40
| e0 != op(op(e4,e0),e4) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f50]) ).
fof(f9102,plain,
( sP40
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP39 ),
inference(subsumption_resolution,[],[f9101,f457]) ).
fof(f9101,plain,
( e1 != op(e3,e4)
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP40 ),
inference(forward_demodulation,[],[f9098,f7393]) ).
fof(f9098,plain,
( sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP40
| e1 != op(op(e4,e1),e4) ),
inference(resolution,[],[f9097,f112]) ).
fof(f112,plain,
( ~ sP41
| e1 != op(op(e4,e1),e4) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP41 ),
inference(nnf_transformation,[],[f51]) ).
fof(f9097,plain,
( sP41
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP40 ),
inference(subsumption_resolution,[],[f9096,f6761]) ).
fof(f9096,plain,
( e2 != op(e1,e4)
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP41 ),
inference(forward_demodulation,[],[f9093,f8553]) ).
fof(f9093,plain,
( sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP41
| e2 != op(op(e4,e2),e4) ),
inference(resolution,[],[f8909,f109]) ).
fof(f109,plain,
( ~ sP42
| e2 != op(op(e4,e2),e4) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f52]) ).
fof(f8909,plain,
( sP42
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP41 ),
inference(subsumption_resolution,[],[f8908,f834]) ).
fof(f834,plain,
( e1 != op(e4,e3)
| sP42
| sP41
| sP40
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(forward_demodulation,[],[f833,f457]) ).
fof(f833,plain,
( sP42
| sP41
| sP40
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| op(e3,e4) != op(e4,e3) ),
inference(subsumption_resolution,[],[f832,f116]) ).
fof(f116,plain,
( ~ sP39
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f832,plain,
( sP42
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| op(e3,e4) != op(e4,e3) ),
inference(resolution,[],[f445,f104]) ).
fof(f104,plain,
( ~ sP43
| op(e3,e4) != op(e4,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP43 ),
inference(nnf_transformation,[],[f53]) ).
fof(f445,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21 ),
inference(subsumption_resolution,[],[f444,f436]) ).
fof(f436,plain,
~ sP20,
inference(subsumption_resolution,[],[f174,f175]) ).
fof(f175,plain,
( ~ sP20
| e0 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f174,plain,
( e0 = op(op(e0,e0),e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f80]) ).
fof(f444,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20 ),
inference(subsumption_resolution,[],[f443,f435]) ).
fof(f435,plain,
~ sP26,
inference(subsumption_resolution,[],[f156,f157]) ).
fof(f157,plain,
( ~ sP26
| e1 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f156,plain,
( e1 = op(op(e1,e1),e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f74]) ).
fof(f443,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20 ),
inference(subsumption_resolution,[],[f442,f434]) ).
fof(f434,plain,
~ sP32,
inference(subsumption_resolution,[],[f138,f139]) ).
fof(f139,plain,
( ~ sP32
| e2 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP32 ),
inference(nnf_transformation,[],[f42]) ).
fof(f138,plain,
( e2 = op(op(e2,e2),e2)
| ~ sP32 ),
inference(cnf_transformation,[],[f68]) ).
fof(f442,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20 ),
inference(subsumption_resolution,[],[f441,f433]) ).
fof(f433,plain,
~ sP38,
inference(subsumption_resolution,[],[f120,f121]) ).
fof(f121,plain,
( ~ sP38
| e3 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP38 ),
inference(nnf_transformation,[],[f48]) ).
fof(f120,plain,
( e3 = op(op(e3,e3),e3)
| ~ sP38 ),
inference(cnf_transformation,[],[f62]) ).
fof(f441,plain,
( sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20 ),
inference(subsumption_resolution,[],[f226,f432]) ).
fof(f432,plain,
~ sP44,
inference(subsumption_resolution,[],[f102,f103]) ).
fof(f103,plain,
( ~ sP44
| e4 != op(op(e4,e4),e4) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP44 ),
inference(nnf_transformation,[],[f54]) ).
fof(f102,plain,
( e4 = op(op(e4,e4),e4)
| ~ sP44 ),
inference(cnf_transformation,[],[f56]) ).
fof(f226,plain,
( sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20 ),
inference(cnf_transformation,[],[f55]) ).
fof(f8908,plain,
( sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP42
| e1 = op(e4,e3) ),
inference(subsumption_resolution,[],[f8878,f455]) ).
fof(f8878,plain,
( e3 != op(e2,e4)
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP42
| e1 = op(e4,e3) ),
inference(superposition,[],[f830,f8851]) ).
fof(f8851,plain,
( e2 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(subsumption_resolution,[],[f8810,f6482]) ).
fof(f8810,plain,
( e3 != op(e0,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(superposition,[],[f281,f8798]) ).
fof(f8798,plain,
( e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(subsumption_resolution,[],[f8797,f525]) ).
fof(f8797,plain,
( e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(subsumption_resolution,[],[f8762,f6485]) ).
fof(f8762,plain,
( e4 != op(e4,e0)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(superposition,[],[f340,f425]) ).
fof(f425,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f340,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f830,plain,
( e3 != op(op(e4,e3),e4)
| sP41
| sP40
| sP39
| sP37
| sP36
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP25
| sP24
| sP23
| sP22
| sP21
| sP42 ),
inference(resolution,[],[f445,f106]) ).
fof(f106,plain,
( ~ sP43
| e3 != op(op(e4,e3),e4) ),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ALG057+1 : TPTP v8.1.2. Released v2.7.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 20:00:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.31 % (5785)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34 % (5789)WARNING: value z3 for option sas not known
% 0.16/0.34 % (5793)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)
% 0.16/0.34 % (5788)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.34 % (5787)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.34 % (5790)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.34 % (5791)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)
% 0.16/0.34 % (5789)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)
% 0.16/0.34 % (5792)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)
% 0.16/0.39 Detected minimum model sizes of [5]
% 0.16/0.39 Detected maximum model sizes of [max]
% 0.16/0.39 TRYING [5]
% 0.16/0.46 TRYING [6]
% 1.59/0.55 TRYING [7]
% 1.59/0.55 % (5793)First to succeed.
% 1.73/0.56 % (5793)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5785"
% 1.73/0.57 % (5793)Refutation found. Thanks to Tanya!
% 1.73/0.57 % SZS status Theorem for theBenchmark
% 1.73/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.57 % (5793)------------------------------
% 1.73/0.57 % (5793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.73/0.57 % (5793)Termination reason: Refutation
% 1.73/0.57
% 1.73/0.57 % (5793)Memory used [KB]: 1759
% 1.73/0.57 % (5793)Time elapsed: 0.228 s
% 1.73/0.57 % (5793)Instructions burned: 588 (million)
% 1.73/0.57 % (5785)Success in time 0.239 s
%------------------------------------------------------------------------------