TSTP Solution File: ALG024+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG024+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 : n005.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 04:14:55 EDT 2024
% Result : Unsatisfiable 10.07s 1.81s
% Output : Refutation 10.07s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f200340,plain,
$false,
inference(subsumption_resolution,[],[f200339,f63]) ).
fof(f63,plain,
e0 != e1,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f200339,plain,
e0 = e1,
inference(forward_demodulation,[],[f200305,f140072]) ).
fof(f140072,plain,
e0 = inv(e0),
inference(superposition,[],[f62,f140068]) ).
fof(f140068,plain,
e0 = unit,
inference(subsumption_resolution,[],[f139925,f118029]) ).
fof(f118029,plain,
( op(e0,e0) = e1
| e0 = unit ),
inference(duplicate_literal_removal,[],[f117942]) ).
fof(f117942,plain,
( op(e0,e0) = e1
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f117923,f81919]) ).
fof(f81919,plain,
( e0 = op(e0,e1)
| e0 = unit ),
inference(superposition,[],[f80,f81914]) ).
fof(f81914,plain,
( e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f81720,f35074]) ).
fof(f35074,plain,
( e0 = op(e2,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f79,f35071]) ).
fof(f35071,plain,
( e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f35070,f6790]) ).
fof(f6790,plain,
( e0 != op(e2,e2)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(duplicate_literal_removal,[],[f6789]) ).
fof(f6789,plain,
( e0 != op(e2,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f6600,f321]) ).
fof(f321,plain,
( e0 = op(e3,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f79,f87]) ).
fof(f87,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& 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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f6600,plain,
( op(e2,e2) != op(e3,e0)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f144,f6590]) ).
fof(f6590,plain,
( op(e2,e2) = op(e3,e3)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f6589,f341]) ).
fof(f341,plain,
( e0 != op(e0,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f102,f321]) ).
fof(f102,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f6589,plain,
( op(e2,e2) = op(e3,e3)
| e1 = unit
| e0 = unit
| e2 = unit
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f6588,f4066]) ).
fof(f4066,plain,
( op(e0,e0) != e1
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f4018,f3677]) ).
fof(f3677,plain,
( e3 != op(e0,e2)
| op(e0,e0) != e1
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f3630,f2811]) ).
fof(f2811,plain,
( op(e0,e0) != e1
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f125,f2750]) ).
fof(f2750,plain,
( e1 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f2749,f350]) ).
fof(f350,plain,
( e0 != op(e0,e2)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f129,f322]) ).
fof(f322,plain,
( e0 = op(e0,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f80,f87]) ).
fof(f129,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2749,plain,
( e1 = op(e0,e2)
| e0 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f2742,f371]) ).
fof(f371,plain,
( e2 != op(e0,e2)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f114,f325]) ).
fof(f325,plain,
( e2 = op(e3,e2)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f83,f87]) ).
fof(f83,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2742,plain,
( e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(trivial_inequality_removal,[],[f2724]) ).
fof(f2724,plain,
( e3 != e3
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f956,f2704]) ).
fof(f2704,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f2668]) ).
fof(f2668,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f2664,f327]) ).
fof(f327,plain,
( e3 = op(e3,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f85,f87]) ).
fof(f85,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2664,plain,
( op(e0,e1) = op(e3,e3)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f2663,f349]) ).
fof(f349,plain,
( e0 != op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f128,f322]) ).
fof(f128,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2663,plain,
( op(e0,e1) = op(e3,e3)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f2660,f355]) ).
fof(f355,plain,
( e1 != op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f108,f323]) ).
fof(f323,plain,
( e1 = op(e3,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f81,f87]) ).
fof(f81,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2660,plain,
( op(e0,e1) = op(e3,e3)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f933,f324]) ).
fof(f324,plain,
( e1 = op(e1,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f82,f87]) ).
fof(f82,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f933,plain,
( op(e3,e3) = op(e0,op(e1,e3))
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(superposition,[],[f155,f213]) ).
fof(f213,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f155,plain,
op(op(e0,e1),e3) = op(e0,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f956,plain,
( e3 != op(e0,e1)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f127,f214]) ).
fof(f214,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f127,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f3630,plain,
( e3 != op(e0,e2)
| e2 != op(e0,e1)
| op(e0,e0) != e1
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f317,f3602]) ).
fof(f3602,plain,
( op(e0,e2) = op(e2,e0)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(duplicate_literal_removal,[],[f3601]) ).
fof(f3601,plain,
( op(e0,e2) = op(e2,e0)
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f3236,f3573]) ).
fof(f3573,plain,
( e2 = op(e1,e0)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f3559,f322]) ).
fof(f3559,plain,
( e0 != op(e0,e3)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e1,e0) ),
inference(duplicate_literal_removal,[],[f3526]) ).
fof(f3526,plain,
( e0 != op(e0,e3)
| e2 = unit
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e1,e0) ),
inference(superposition,[],[f343,f3298]) ).
fof(f3298,plain,
( op(e0,e3) = op(e2,e0)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e1,e0) ),
inference(subsumption_resolution,[],[f3297,f342]) ).
fof(f342,plain,
( e0 != op(e1,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f104,f321]) ).
fof(f104,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f3297,plain,
( op(e0,e3) = op(e2,e0)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f3284,f364]) ).
fof(f364,plain,
( e1 != op(e1,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f132,f324]) ).
fof(f132,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f3284,plain,
( op(e0,e3) = op(e2,e0)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f3236,f216]) ).
fof(f216,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f343,plain,
( e0 != op(e2,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f105,f321]) ).
fof(f105,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f3236,plain,
( op(e2,e0) = op(e0,op(e1,e0))
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f152,f3231]) ).
fof(f3231,plain,
( e2 = op(e0,e1)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f3213,f2961]) ).
fof(f2961,plain,
( e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f2960]) ).
fof(f2960,plain,
( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(superposition,[],[f2801,f2932]) ).
fof(f2932,plain,
( e0 = op(e1,e2)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(subsumption_resolution,[],[f2931,f366]) ).
fof(f366,plain,
( e1 != op(e1,e2)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f135,f324]) ).
fof(f135,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2931,plain,
( e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(subsumption_resolution,[],[f2930,f372]) ).
fof(f372,plain,
( e2 != op(e1,e2)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f116,f325]) ).
fof(f116,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f2930,plain,
( e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(subsumption_resolution,[],[f2922,f380]) ).
fof(f380,plain,
( e2 != op(e0,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f119,f326]) ).
fof(f326,plain,
( e2 = op(e2,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f84,f87]) ).
fof(f84,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2922,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(superposition,[],[f2801,f218]) ).
fof(f218,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2801,plain,
( e2 = op(e0,op(e1,e2))
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f2761,f83]) ).
fof(f2761,plain,
( op(e0,op(e1,e2)) = op(unit,e2)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f154,f2705]) ).
fof(f2705,plain,
( op(e0,e1) = unit
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f2667]) ).
fof(f2667,plain,
( op(e0,e1) = unit
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f2664,f336]) ).
fof(f336,plain,
( op(e3,e3) = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f94,f320]) ).
fof(f320,plain,
( e3 = inv(e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f62,f87]) ).
fof(f94,plain,
unit = op(e3,inv(e3)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3) )
& ( e3 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e0 = inv(e2) )
& ( e3 = inv(e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) )
& ( e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) )
& unit = op(inv(e3),e3)
& unit = op(e3,inv(e3))
& unit = op(inv(e2),e2)
& unit = op(e2,inv(e2))
& unit = op(inv(e1),e1)
& unit = op(e1,inv(e1))
& unit = op(inv(e0),e0)
& unit = op(e0,inv(e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f154,plain,
op(op(e0,e1),e2) = op(e0,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f3213,plain,
( op(e0,e0) != e2
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(duplicate_literal_removal,[],[f3212]) ).
fof(f3212,plain,
( op(e0,e0) != e2
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f2972,f3184]) ).
fof(f3184,plain,
( op(e0,e0) = op(e1,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f3175]) ).
fof(f3175,plain,
( op(e0,e0) = op(e1,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f2814,f2753]) ).
fof(f2753,plain,
( e0 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f2752,f357]) ).
fof(f357,plain,
( e1 != op(e2,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f111,f323]) ).
fof(f111,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2752,plain,
( e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f2739,f383]) ).
fof(f383,plain,
( e2 != op(e2,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f140,f326]) ).
fof(f140,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f2739,plain,
( e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(trivial_inequality_removal,[],[f2727]) ).
fof(f2727,plain,
( e3 != e3
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f1083,f2704]) ).
fof(f1083,plain,
( e3 != op(e0,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(superposition,[],[f107,f221]) ).
fof(f221,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f107,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f2814,plain,
( op(e1,e1) = op(e0,op(e2,e1))
| e2 = op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f157,f2750]) ).
fof(f157,plain,
op(op(e0,e2),e1) = op(e0,op(e2,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f2972,plain,
( e2 != op(e1,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(subsumption_resolution,[],[f2969,f2704]) ).
fof(f2969,plain,
( e2 != op(e1,e1)
| e3 != op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(trivial_inequality_removal,[],[f2944]) ).
fof(f2944,plain,
( e0 != e0
| e2 != op(e1,e1)
| e3 != op(e0,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(superposition,[],[f303,f2932]) ).
fof(f303,plain,
( e0 != op(e1,e2)
| e2 != op(e1,e1)
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f302]) ).
fof(f302,plain,
( e2 != op(e1,e1)
| e0 != op(e1,e2)
| e3 != op(op(e1,e2),e1) ),
inference(inner_rewriting,[],[f259]) ).
fof(f259,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f152,plain,
op(op(e0,e1),e0) = op(e0,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f317,plain,
( e3 != op(e2,e0)
| e2 != op(e0,e1)
| op(e0,e0) != e1 ),
inference(inner_rewriting,[],[f316]) ).
fof(f316,plain,
( op(e0,e0) != e1
| e2 != op(e0,e1)
| e3 != op(op(e0,e1),e0) ),
inference(inner_rewriting,[],[f266]) ).
fof(f266,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
~ ( op(e0,e0) = e1
& e2 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f4018,plain,
( op(e0,e0) != e1
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = op(e0,e2) ),
inference(superposition,[],[f101,f3672]) ).
fof(f3672,plain,
( e1 = op(e2,e0)
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f3671,f343]) ).
fof(f3671,plain,
( e3 = op(e0,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f3622,f382]) ).
fof(f382,plain,
( e2 != op(e2,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f138,f326]) ).
fof(f138,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f3622,plain,
( e3 = op(e0,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(superposition,[],[f3602,f220]) ).
fof(f220,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f101,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f6588,plain,
( op(e2,e2) = op(e3,e3)
| e1 = unit
| e0 = unit
| e2 = unit
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f6579,f3235]) ).
fof(f3235,plain,
( op(e0,e0) != e2
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f124,f3231]) ).
fof(f124,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f6579,plain,
( op(e2,e2) = op(e3,e3)
| e1 = unit
| e0 = unit
| e2 = unit
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(superposition,[],[f5407,f756]) ).
fof(f756,plain,
( op(e3,e3) = op(e0,op(e0,e3))
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(superposition,[],[f151,f212]) ).
fof(f212,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f151,plain,
op(op(e0,e0),e3) = op(e0,op(e0,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f5407,plain,
( op(e2,e2) = op(e0,op(e0,e3))
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(duplicate_literal_removal,[],[f5396]) ).
fof(f5396,plain,
( op(e2,e2) = op(e0,op(e0,e3))
| e1 = unit
| e0 = unit
| e2 = unit
| e0 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[],[f3238,f5358]) ).
fof(f5358,plain,
( op(e0,e3) = op(e1,e2)
| e0 = unit
| e2 = unit
| e1 = unit ),
inference(subsumption_resolution,[],[f5357,f4137]) ).
fof(f4137,plain,
( e0 != op(e1,e1)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f4095,f3766]) ).
fof(f3766,plain,
( e3 != op(e1,e2)
| e0 != op(e1,e1)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f3724,f3573]) ).
fof(f3724,plain,
( e3 != op(e1,e2)
| e2 != op(e1,e0)
| e0 != op(e1,e1)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f273,f3709]) ).
fof(f3709,plain,
( op(e1,e2) = op(e2,e1)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(subsumption_resolution,[],[f3704,f3235]) ).
fof(f3704,plain,
( op(e1,e2) = op(e2,e1)
| e1 = unit
| e0 = unit
| e2 = unit
| op(e0,e0) = e2 ),
inference(duplicate_literal_removal,[],[f3697]) ).
fof(f3697,plain,
( op(e1,e2) = op(e2,e1)
| e1 = unit
| e0 = unit
| e2 = unit
| op(e0,e0) = e2
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f3577,f2961]) ).
fof(f3577,plain,
( op(e2,e1) = op(e1,op(e0,e1))
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f165,f3573]) ).
fof(f165,plain,
op(op(e1,e0),e1) = op(e1,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f273,plain,
( e3 != op(e2,e1)
| e2 != op(e1,e0)
| e0 != op(e1,e1) ),
inference(inner_rewriting,[],[f272]) ).
fof(f272,plain,
( e0 != op(e1,e1)
| e2 != op(e1,e0)
| e3 != op(op(e1,e0),e1) ),
inference(inner_rewriting,[],[f244]) ).
fof(f244,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f4095,plain,
( e0 != op(e1,e1)
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = op(e1,e2) ),
inference(superposition,[],[f109,f3761]) ).
fof(f3761,plain,
( e0 = op(e2,e1)
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = op(e1,e2) ),
inference(subsumption_resolution,[],[f3760,f357]) ).
fof(f3760,plain,
( e3 = op(e1,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(subsumption_resolution,[],[f3710,f383]) ).
fof(f3710,plain,
( e3 = op(e1,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(superposition,[],[f3709,f221]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f5357,plain,
( op(e0,e3) = op(e1,e2)
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = op(e1,e1) ),
inference(subsumption_resolution,[],[f5356,f356]) ).
fof(f356,plain,
( e1 != op(e1,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f110,f323]) ).
fof(f110,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f5356,plain,
( op(e0,e3) = op(e1,e2)
| e0 = unit
| e2 = unit
| e1 = unit
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(subsumption_resolution,[],[f5339,f4420]) ).
fof(f4420,plain,
( e2 != op(e1,e1)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f4402]) ).
fof(f4402,plain,
( e2 != op(e1,e1)
| e2 = unit
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f373,f4375]) ).
fof(f4375,plain,
( op(e1,e1) = op(e2,e2)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(duplicate_literal_removal,[],[f4368]) ).
fof(f4368,plain,
( op(e1,e1) = op(e2,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e0 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[],[f3578,f4342]) ).
fof(f4342,plain,
( e1 = op(e0,e2)
| e0 = unit
| e2 = unit
| e1 = unit ),
inference(subsumption_resolution,[],[f4341,f341]) ).
fof(f4341,plain,
( e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e0,e2)
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f4340,f4066]) ).
fof(f4340,plain,
( e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e0,e2)
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f4339,f3235]) ).
fof(f4339,plain,
( e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(trivial_inequality_removal,[],[f4338]) ).
fof(f4338,plain,
( e3 != e3
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e0,e2)
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(superposition,[],[f4158,f212]) ).
fof(f4158,plain,
( op(e0,e0) != e3
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e0,e2) ),
inference(superposition,[],[f125,f4063]) ).
fof(f4063,plain,
( e3 = op(e0,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f4017]) ).
fof(f4017,plain,
( e1 = op(e0,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e3 = op(e0,e2)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f3672,f3602]) ).
fof(f3578,plain,
( op(e2,e2) = op(e1,op(e0,e2))
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f166,f3573]) ).
fof(f166,plain,
op(op(e1,e0),e2) = op(e1,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f373,plain,
( e2 != op(e2,e2)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f117,f325]) ).
fof(f117,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f5339,plain,
( op(e0,e3) = op(e1,e2)
| e0 = unit
| e2 = unit
| e1 = unit
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(superposition,[],[f5158,f217]) ).
fof(f217,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f5158,plain,
( op(e1,e2) = op(e0,op(e1,e1))
| e0 = unit
| e2 = unit
| e1 = unit ),
inference(duplicate_literal_removal,[],[f5152]) ).
fof(f5152,plain,
( op(e1,e2) = op(e0,op(e1,e1))
| e0 = unit
| e2 = unit
| e1 = unit
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f4350,f4375]) ).
fof(f4350,plain,
( op(e1,e2) = op(e0,op(e2,e2))
| e0 = unit
| e2 = unit
| e1 = unit ),
inference(superposition,[],[f158,f4342]) ).
fof(f158,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f3238,plain,
( op(e2,e2) = op(e0,op(e1,e2))
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f154,f3231]) ).
fof(f144,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f35070,plain,
( e2 = unit
| e1 = unit
| e0 = unit
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f35069,f6810]) ).
fof(f6810,plain,
( e1 != op(e2,e2)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(duplicate_literal_removal,[],[f6809]) ).
fof(f6809,plain,
( e1 != op(e2,e2)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f6601,f323]) ).
fof(f6601,plain,
( op(e2,e2) != op(e3,e1)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f146,f6590]) ).
fof(f146,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f35069,plain,
( e2 = unit
| e1 = unit
| e0 = unit
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f35068,f373]) ).
fof(f35068,plain,
( e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f35067,f4763]) ).
fof(f4763,plain,
( op(e0,e0) = e3
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f4760]) ).
fof(f4760,plain,
( op(e0,e0) = e3
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f4647,f322]) ).
fof(f4647,plain,
( e3 = op(e0,op(e0,e3))
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f4599,f85]) ).
fof(f4599,plain,
( op(e0,op(e0,e3)) = op(unit,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f151,f4577]) ).
fof(f4577,plain,
( op(e0,e0) = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f88,f4572]) ).
fof(f4572,plain,
( e0 = inv(e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f4553,f3384]) ).
fof(f3384,plain,
( op(e0,e1) != unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f3371]) ).
fof(f3371,plain,
( op(e0,e1) != unit
| e2 = unit
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f401,f3352]) ).
fof(f3352,plain,
( op(e0,e1) = op(e2,e3)
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(duplicate_literal_removal,[],[f3341]) ).
fof(f3341,plain,
( op(e0,e1) = op(e2,e3)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f3239,f324]) ).
fof(f3239,plain,
( op(e2,e3) = op(e0,op(e1,e3))
| e1 = unit
| e0 = unit
| e2 = unit ),
inference(superposition,[],[f155,f3231]) ).
fof(f401,plain,
( op(e2,e3) != unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f123,f336]) ).
fof(f123,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f4553,plain,
( op(e0,e1) = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(superposition,[],[f88,f4383]) ).
fof(f4383,plain,
( e1 = inv(e0)
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(duplicate_literal_removal,[],[f4344]) ).
fof(f4344,plain,
( e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f4342,f1475]) ).
fof(f1475,plain,
( op(e0,e2) = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f88,f483]) ).
fof(f483,plain,
( e2 = inv(e0)
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(trivial_inequality_removal,[],[f479]) ).
fof(f479,plain,
( e3 != e3
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f332,f96]) ).
fof(f96,plain,
( e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f332,plain,
( e3 != inv(e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f71,f320]) ).
fof(f71,plain,
inv(e0) != inv(e3),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( inv(e2) != inv(e3)
& inv(e1) != inv(e3)
& inv(e1) != inv(e2)
& inv(e0) != inv(e3)
& inv(e0) != inv(e2)
& inv(e0) != inv(e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f88,plain,
unit = op(e0,inv(e0)),
inference(cnf_transformation,[],[f4]) ).
fof(f35067,plain,
( op(e0,e0) != e3
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f35066,f4422]) ).
fof(f4422,plain,
( e3 = op(e1,e1)
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f4390,f373]) ).
fof(f4390,plain,
( e3 = op(e1,e1)
| e1 = unit
| e0 = unit
| e2 = unit
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(superposition,[],[f4375,f222]) ).
fof(f222,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f35066,plain,
( e3 != op(e1,e1)
| op(e0,e0) != e3
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(trivial_inequality_removal,[],[f35044]) ).
fof(f35044,plain,
( e3 != e3
| e3 != op(e1,e1)
| op(e0,e0) != e3
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(superposition,[],[f1285,f222]) ).
fof(f1285,plain,
( e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f1281,f87]) ).
fof(f1281,plain,
( e3 != unit
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f271,f336]) ).
fof(f271,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f79,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f81720,plain,
( e0 != op(e2,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f105,f81705]) ).
fof(f81705,plain,
( e0 = op(e3,e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f81495,f62607]) ).
fof(f62607,plain,
( op(e0,e0) = e1
| e0 = unit
| e1 = unit ),
inference(subsumption_resolution,[],[f62406,f57443]) ).
fof(f57443,plain,
( e2 = op(e0,e1)
| e0 = unit
| e1 = unit ),
inference(subsumption_resolution,[],[f57442,f35332]) ).
fof(f35332,plain,
( e0 != op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f127,f35075]) ).
fof(f35075,plain,
( e0 = op(e0,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f80,f35071]) ).
fof(f57442,plain,
( e1 = unit
| e0 = unit
| e2 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(subsumption_resolution,[],[f57441,f35493]) ).
fof(f35493,plain,
( e1 != op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f107,f35076]) ).
fof(f35076,plain,
( e1 = op(e2,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f81,f35071]) ).
fof(f57441,plain,
( e1 = unit
| e0 = unit
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(subsumption_resolution,[],[f57227,f36789]) ).
fof(f36789,plain,
e3 != unit,
inference(subsumption_resolution,[],[f36788,f65]) ).
fof(f65,plain,
e0 != e3,
inference(cnf_transformation,[],[f10]) ).
fof(f36788,plain,
( e3 != unit
| e0 = e3 ),
inference(subsumption_resolution,[],[f36787,f67]) ).
fof(f67,plain,
e1 != e3,
inference(cnf_transformation,[],[f10]) ).
fof(f36787,plain,
( e3 != unit
| e1 = e3
| e0 = e3 ),
inference(inner_rewriting,[],[f36774]) ).
fof(f36774,plain,
( e3 != unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f36773]) ).
fof(f36773,plain,
( e3 != unit
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f36025,f35094]) ).
fof(f35094,plain,
( op(e2,e2) = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f92,f35073]) ).
fof(f35073,plain,
( e2 = inv(e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f62,f35071]) ).
fof(f92,plain,
unit = op(e2,inv(e2)),
inference(cnf_transformation,[],[f4]) ).
fof(f36025,plain,
( e3 != op(e2,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f141,f35080]) ).
fof(f35080,plain,
( e3 = op(e2,e3)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f85,f35071]) ).
fof(f141,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f57227,plain,
( e3 = unit
| e1 = unit
| e0 = unit
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(superposition,[],[f56891,f213]) ).
fof(f56891,plain,
( op(e0,e1) = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f91,f56880]) ).
fof(f56880,plain,
( e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f56879,f56401]) ).
fof(f56401,plain,
( e2 = op(e0,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f56390,f43235]) ).
fof(f43235,plain,
( e0 != op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f134,f43180]) ).
fof(f43180,plain,
( e0 = op(e1,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f43008]) ).
fof(f43008,plain,
( e0 = op(e1,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f42997,f35074]) ).
fof(f42997,plain,
( op(e1,e3) = op(e2,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f42996,f35155]) ).
fof(f35155,plain,
( e0 != op(e1,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f103,f35074]) ).
fof(f103,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f42996,plain,
( op(e1,e3) = op(e2,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f42995,f35676]) ).
fof(f35676,plain,
( e1 != op(e1,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f131,f35077]) ).
fof(f35077,plain,
( e1 = op(e1,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f82,f35071]) ).
fof(f131,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f42995,plain,
( op(e1,e3) = op(e2,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f42932,f42053]) ).
fof(f42053,plain,
( e2 != op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f130,f42029]) ).
fof(f42029,plain,
( e2 = op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f41990]) ).
fof(f41990,plain,
( e2 = op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f41888,f35077]) ).
fof(f41888,plain,
( e2 = op(e1,op(e1,e2))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f41729,f83]) ).
fof(f41729,plain,
( op(e1,op(e1,e2)) = op(unit,e2)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f170,f41699]) ).
fof(f41699,plain,
( op(e1,e1) = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f90,f41692]) ).
fof(f41692,plain,
( e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f41691,f35092]) ).
fof(f35092,plain,
( e2 != inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f72,f35073]) ).
fof(f72,plain,
inv(e1) != inv(e2),
inference(cnf_transformation,[],[f8]) ).
fof(f41691,plain,
( e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f41679,f41224]) ).
fof(f41224,plain,
( e1 != op(e3,e0)
| e1 = unit
| e0 = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f41214,f36310]) ).
fof(f36310,plain,
( e2 = op(e1,e3)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f36195,f35092]) ).
fof(f36195,plain,
( e2 = op(e1,e3)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f649,f35081]) ).
fof(f35081,plain,
( e3 = op(e3,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f86,f35071]) ).
fof(f86,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f649,plain,
( e2 = op(e1,op(e3,e2))
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f637,f83]) ).
fof(f637,plain,
( op(e1,op(e3,e2)) = op(unit,e2)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f178,f487]) ).
fof(f487,plain,
( op(e1,e3) = unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f90,f97]) ).
fof(f97,plain,
( e3 = inv(e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(op(e1,e3),e2) = op(e1,op(e3,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f41214,plain,
( e1 != op(e3,e0)
| e2 != op(e1,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f41118]) ).
fof(f41118,plain,
( e0 != e0
| e1 != op(e3,e0)
| e2 != op(e1,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f305,f41089]) ).
fof(f41089,plain,
( e0 = op(e3,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f41088,f80]) ).
fof(f41088,plain,
( op(e3,e3) = op(e0,unit)
| e1 = unit
| e0 = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f41087,f35092]) ).
fof(f41087,plain,
( op(e3,e3) = op(e0,unit)
| e1 = unit
| e0 = unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f41050,f39766]) ).
fof(f39766,plain,
( e2 != op(e0,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f108,f35851]) ).
fof(f35851,plain,
( e2 = op(e3,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f35688,f35092]) ).
fof(f35688,plain,
( e2 = op(e3,e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f672,f35077]) ).
fof(f672,plain,
( e2 = op(e3,op(e1,e2))
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f658,f83]) ).
fof(f658,plain,
( op(e3,op(e1,e2)) = op(unit,e2)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f202,f488]) ).
fof(f488,plain,
( op(e3,e1) = unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f91,f97]) ).
fof(f202,plain,
op(op(e3,e1),e2) = op(e3,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f41050,plain,
( op(e3,e3) = op(e0,unit)
| e2 = op(e0,e1)
| e1 = unit
| e0 = unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f39342,f487]) ).
fof(f39342,plain,
( op(e3,e3) = op(e0,op(e1,e3))
| e2 = op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f155,f39320]) ).
fof(f39320,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f39194]) ).
fof(f39194,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f35853,f35081]) ).
fof(f35853,plain,
( op(e0,e1) = op(e3,e2)
| e2 = op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f35852,f35332]) ).
fof(f35852,plain,
( op(e0,e1) = op(e3,e2)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f35690,f35493]) ).
fof(f35690,plain,
( op(e0,e1) = op(e3,e2)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f932,f35077]) ).
fof(f932,plain,
( op(e3,e2) = op(e0,op(e1,e2))
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(superposition,[],[f154,f213]) ).
fof(f305,plain,
( e0 != op(e3,e3)
| e1 != op(e3,e0)
| e2 != op(e1,e3) ),
inference(inner_rewriting,[],[f304]) ).
fof(f304,plain,
( e0 != op(e3,e3)
| e1 != op(e3,e0)
| e2 != op(op(e3,e0),e3) ),
inference(inner_rewriting,[],[f260]) ).
fof(f260,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f41679,plain,
( e1 = op(e3,e0)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f41526]) ).
fof(f41526,plain,
( e1 = op(e3,e0)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f671,f41496]) ).
fof(f41496,plain,
( e0 = op(e1,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f41495,f35494]) ).
fof(f35494,plain,
( e1 != op(e1,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f109,f35076]) ).
fof(f41495,plain,
( e1 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f41483,f39767]) ).
fof(f39767,plain,
( e2 != op(e1,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f110,f35851]) ).
fof(f41483,plain,
( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(trivial_inequality_removal,[],[f41337]) ).
fof(f41337,plain,
( e3 != e3
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f1012,f41225]) ).
fof(f41225,plain,
( e3 = op(e1,e0)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f41207,f35092]) ).
fof(f41207,plain,
( e3 = op(e1,e0)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f41126]) ).
fof(f41126,plain,
( e3 = op(e1,e0)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f650,f41089]) ).
fof(f650,plain,
( e3 = op(e1,op(e3,e3))
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f638,f85]) ).
fof(f638,plain,
( op(e1,op(e3,e3)) = op(unit,e3)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f179,f487]) ).
fof(f179,plain,
op(op(e1,e3),e3) = op(e1,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f1012,plain,
( e3 != op(e1,e0)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(superposition,[],[f130,f217]) ).
fof(f671,plain,
( e1 = op(e3,op(e1,e1))
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f657,f81]) ).
fof(f657,plain,
( op(e3,op(e1,e1)) = op(unit,e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f201,f488]) ).
fof(f201,plain,
op(op(e3,e1),e1) = op(e3,op(e1,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
unit = op(e1,inv(e1)),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f42932,plain,
( op(e1,e3) = op(e2,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f42054,f216]) ).
fof(f42054,plain,
( op(e2,e0) = op(e1,op(e1,e0))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f168,f42029]) ).
fof(f168,plain,
op(op(e1,e1),e0) = op(e1,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f56390,plain,
( e2 = op(e0,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = op(e1,e1) ),
inference(duplicate_literal_removal,[],[f56197]) ).
fof(f56197,plain,
( e2 = op(e0,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| e0 = op(e1,e1) ),
inference(superposition,[],[f56105,f41885]) ).
fof(f41885,plain,
( e2 = op(e1,e1)
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| e0 = op(e1,e1) ),
inference(subsumption_resolution,[],[f41884,f35494]) ).
fof(f41884,plain,
( e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(subsumption_resolution,[],[f41720,f36789]) ).
fof(f41720,plain,
( e3 = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(superposition,[],[f41699,f217]) ).
fof(f56105,plain,
( op(e0,e3) = op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f56096]) ).
fof(f56096,plain,
( op(e0,e3) = op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit
| e0 = inv(e1) ),
inference(superposition,[],[f46033,f55927]) ).
fof(f55927,plain,
( op(e0,e0) = e1
| e1 = unit
| e0 = unit
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f55926]) ).
fof(f55926,plain,
( e2 != e2
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1 ),
inference(duplicate_literal_removal,[],[f55913]) ).
fof(f55913,plain,
( e2 != e2
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| op(e0,e0) = e1 ),
inference(superposition,[],[f43853,f43626]) ).
fof(f43626,plain,
( op(e0,e0) = e2
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f43621,f35154]) ).
fof(f35154,plain,
( e0 != op(e0,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f101,f35074]) ).
fof(f43621,plain,
( e0 = inv(e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(trivial_inequality_removal,[],[f43620]) ).
fof(f43620,plain,
( e3 != e3
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(superposition,[],[f43435,f212]) ).
fof(f43435,plain,
( op(e0,e0) != e3
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f100,f43324]) ).
fof(f43324,plain,
( e3 = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f43317]) ).
fof(f43317,plain,
( e3 = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f41889,f43180]) ).
fof(f41889,plain,
( e3 = op(e1,op(e1,e3))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f41730,f85]) ).
fof(f41730,plain,
( op(e1,op(e1,e3)) = op(unit,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f171,f41699]) ).
fof(f171,plain,
op(op(e1,e1),e3) = op(e1,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f100,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f43853,plain,
( op(e0,e0) != e2
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f43852,f42029]) ).
fof(f43852,plain,
( op(e0,e0) != e2
| e2 != op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f43839,f35078]) ).
fof(f35078,plain,
( e2 = op(e2,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f83,f35071]) ).
fof(f43839,plain,
( op(e0,e0) != e2
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f43742]) ).
fof(f43742,plain,
( op(e0,e0) != e2
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f270,f43398]) ).
fof(f43398,plain,
( op(e0,e0) = op(e3,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f43397,f35332]) ).
fof(f43397,plain,
( op(e0,e0) = op(e3,e3)
| e0 = op(e0,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f43396,f35493]) ).
fof(f43396,plain,
( op(e0,e0) = op(e3,e3)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f43252,f42052]) ).
fof(f42052,plain,
( e2 != op(e0,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f106,f42029]) ).
fof(f106,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f43252,plain,
( op(e0,e0) = op(e3,e3)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f933,f43180]) ).
fof(f270,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f46033,plain,
( op(e0,e3) = op(e1,op(e0,e0))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f45978]) ).
fof(f45978,plain,
( op(e0,e3) = op(e1,op(e0,e0))
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f43240,f43398]) ).
fof(f43240,plain,
( op(e0,e3) = op(e1,op(e3,e3))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f179,f43180]) ).
fof(f56879,plain,
( e2 != op(e0,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f56867,f47119]) ).
fof(f47119,plain,
( e0 = op(e3,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f47118,f35155]) ).
fof(f47118,plain,
( e0 = op(e3,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f47117,f35676]) ).
fof(f47117,plain,
( e0 = op(e3,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f47067,f42053]) ).
fof(f47067,plain,
( e0 = op(e3,e1)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f46713,f996]) ).
fof(f996,plain,
( op(e3,e1) = op(e1,op(e0,e1))
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f165,f216]) ).
fof(f46713,plain,
( e0 = op(e1,op(e0,e1))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f46700]) ).
fof(f46700,plain,
( e0 = op(e1,op(e0,e1))
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f41886,f46576]) ).
fof(f46576,plain,
( op(e0,e1) = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f46569,f42052]) ).
fof(f46569,plain,
( op(e0,e1) = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = op(e0,e1) ),
inference(duplicate_literal_removal,[],[f46435]) ).
fof(f46435,plain,
( op(e0,e1) = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = op(e0,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f46418,f35853]) ).
fof(f46418,plain,
( op(e1,e0) = op(e3,e2)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f46377]) ).
fof(f46377,plain,
( op(e1,e0) = op(e3,e2)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f43438,f35075]) ).
fof(f43438,plain,
( op(e3,e2) = op(e1,op(e0,e2))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f166,f43324]) ).
fof(f41886,plain,
( e0 = op(e1,op(e1,e0))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f41727,f79]) ).
fof(f41727,plain,
( op(e1,op(e1,e0)) = op(unit,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f168,f41699]) ).
fof(f56867,plain,
( e0 != op(e3,e1)
| e2 != op(e0,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(trivial_inequality_removal,[],[f56764]) ).
fof(f56764,plain,
( e1 != e1
| e0 != op(e3,e1)
| e2 != op(e0,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f301,f56569]) ).
fof(f56569,plain,
( e1 = op(e3,e3)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f56568,f82]) ).
fof(f56568,plain,
( op(e3,e3) = op(e1,unit)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f56567,f35155]) ).
fof(f56567,plain,
( op(e3,e3) = op(e1,unit)
| e0 = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f56566,f35676]) ).
fof(f56566,plain,
( op(e3,e3) = op(e1,unit)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f56437,f42053]) ).
fof(f56437,plain,
( op(e3,e3) = op(e1,unit)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0)
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f998,f56391]) ).
fof(f56391,plain,
( op(e0,e3) = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f56196]) ).
fof(f56196,plain,
( op(e0,e3) = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f56105,f41699]) ).
fof(f998,plain,
( op(e3,e3) = op(e1,op(e0,e3))
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f167,f216]) ).
fof(f167,plain,
op(op(e1,e0),e3) = op(e1,op(e0,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f301,plain,
( e1 != op(e3,e3)
| e0 != op(e3,e1)
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f300]) ).
fof(f300,plain,
( e1 != op(e3,e3)
| e0 != op(e3,e1)
| e2 != op(op(e3,e1),e3) ),
inference(inner_rewriting,[],[f258]) ).
fof(f258,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f91,plain,
unit = op(inv(e1),e1),
inference(cnf_transformation,[],[f4]) ).
fof(f62406,plain,
( e2 != op(e0,e1)
| e0 = unit
| op(e0,e0) = e1
| e1 = unit ),
inference(superposition,[],[f106,f62202]) ).
fof(f62202,plain,
( e2 = op(e1,e1)
| e0 = unit
| op(e0,e0) = e1
| e1 = unit ),
inference(subsumption_resolution,[],[f62201,f61939]) ).
fof(f61939,plain,
( e0 != op(e1,e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1 ),
inference(superposition,[],[f134,f57956]) ).
fof(f57956,plain,
( e0 = op(e1,e3)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f57955,f35154]) ).
fof(f57955,plain,
( e0 = op(e1,e3)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(subsumption_resolution,[],[f57895,f57481]) ).
fof(f57481,plain,
( op(e0,e0) != e2
| e0 = unit
| e1 = unit ),
inference(superposition,[],[f100,f57193]) ).
fof(f57193,plain,
( e2 = op(e1,e0)
| e0 = unit
| e1 = unit ),
inference(subsumption_resolution,[],[f57192,f35155]) ).
fof(f57192,plain,
( e1 = unit
| e0 = unit
| e2 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f57191,f35676]) ).
fof(f57191,plain,
( e1 = unit
| e0 = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(subsumption_resolution,[],[f56955,f36789]) ).
fof(f56955,plain,
( e3 = unit
| e1 = unit
| e0 = unit
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(superposition,[],[f56890,f216]) ).
fof(f56890,plain,
( op(e1,e0) = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f90,f56880]) ).
fof(f57895,plain,
( e0 = op(e1,e3)
| e1 = unit
| e0 = unit
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(superposition,[],[f57194,f212]) ).
fof(f57194,plain,
( e0 = op(e1,op(e0,e0))
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f56967,f79]) ).
fof(f56967,plain,
( op(e1,op(e0,e0)) = op(unit,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f164,f56890]) ).
fof(f164,plain,
op(op(e1,e0),e0) = op(e1,op(e0,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f62201,plain,
( e1 = unit
| e0 = unit
| op(e0,e0) = e1
| e2 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(subsumption_resolution,[],[f62200,f35494]) ).
fof(f62200,plain,
( e1 = unit
| e0 = unit
| op(e0,e0) = e1
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(trivial_inequality_removal,[],[f62172]) ).
fof(f62172,plain,
( e3 != e3
| e1 = unit
| e0 = unit
| op(e0,e0) = e1
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(superposition,[],[f62128,f217]) ).
fof(f62128,plain,
( e3 != op(e1,e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1 ),
inference(subsumption_resolution,[],[f62122,f57443]) ).
fof(f62122,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1 ),
inference(trivial_inequality_removal,[],[f61946]) ).
fof(f61946,plain,
( e0 != e0
| e3 != op(e1,e1)
| e2 != op(e0,e1)
| e1 = unit
| e0 = unit
| op(e0,e0) = e1 ),
inference(superposition,[],[f299,f57956]) ).
fof(f299,plain,
( e0 != op(e1,e3)
| e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f298]) ).
fof(f298,plain,
( e3 != op(e1,e1)
| e0 != op(e1,e3)
| e2 != op(op(e1,e3),e1) ),
inference(inner_rewriting,[],[f257]) ).
fof(f257,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),e1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f81495,plain,
( op(e0,e0) != e1
| e0 = op(e3,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f102,f81481]) ).
fof(f81481,plain,
( e1 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f81281,f57193]) ).
fof(f81281,plain,
( e2 != op(e1,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f104,f35480]) ).
fof(f35480,plain,
( e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f35351,f143]) ).
fof(f143,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f35351,plain,
( op(e3,e0) = op(e3,e2)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f1150,f35075]) ).
fof(f1150,plain,
( op(e3,e2) = op(e3,op(e0,e2))
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(superposition,[],[f198,f224]) ).
fof(f224,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f198,plain,
op(op(e3,e0),e2) = op(e3,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f117923,plain,
( e1 = op(e0,op(e0,e1))
| e0 = unit ),
inference(forward_demodulation,[],[f117640,f81]) ).
fof(f117640,plain,
( op(e0,op(e0,e1)) = op(unit,e1)
| e0 = unit ),
inference(superposition,[],[f149,f117596]) ).
fof(f117596,plain,
( op(e0,e0) = unit
| e0 = unit ),
inference(superposition,[],[f88,f117588]) ).
fof(f117588,plain,
( e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f117587,f94543]) ).
fof(f94543,plain,
( e0 != op(e0,e3)
| e0 = unit
| e0 = inv(e0) ),
inference(superposition,[],[f119,f94306]) ).
fof(f94306,plain,
( e0 = op(e2,e3)
| e0 = unit
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f94157,f81914]) ).
fof(f94157,plain,
( e1 != unit
| e0 = op(e2,e3)
| e0 = unit
| e0 = inv(e0) ),
inference(duplicate_literal_removal,[],[f94152]) ).
fof(f94152,plain,
( e1 != unit
| e0 = op(e2,e3)
| e0 = unit
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f90898,f93627]) ).
fof(f93627,plain,
( op(e2,e0) = unit
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f89,f93619]) ).
fof(f93619,plain,
( e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f93618,f81945]) ).
fof(f81945,plain,
( e1 != inv(e0)
| e0 = unit ),
inference(superposition,[],[f69,f81917]) ).
fof(f81917,plain,
( e1 = inv(e1)
| e0 = unit ),
inference(superposition,[],[f62,f81914]) ).
fof(f69,plain,
inv(e0) != inv(e1),
inference(cnf_transformation,[],[f8]) ).
fof(f93618,plain,
( e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f93617,f89339]) ).
fof(f89339,plain,
( op(e0,e0) = e2
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f89314,f81945]) ).
fof(f89314,plain,
( op(e0,e0) = e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f89178]) ).
fof(f89178,plain,
( op(e0,e0) = e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = inv(e0)
| e2 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f605,f88978]) ).
fof(f88978,plain,
( e0 = op(e3,e2)
| e0 = inv(e0)
| e2 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f88977,f81945]) ).
fof(f88977,plain,
( e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = op(e3,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f88818,f83157]) ).
fof(f83157,plain,
( e2 != op(e0,e1)
| e0 = unit ),
inference(superposition,[],[f107,f81923]) ).
fof(f81923,plain,
( e2 = op(e2,e1)
| e0 = unit ),
inference(superposition,[],[f84,f81914]) ).
fof(f88818,plain,
( e2 = op(e0,e1)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = op(e3,e2)
| e0 = unit ),
inference(superposition,[],[f605,f88781]) ).
fof(f88781,plain,
( e1 = op(e3,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f88616,f81922]) ).
fof(f81922,plain,
( e2 = op(e1,e2)
| e0 = unit ),
inference(superposition,[],[f83,f81914]) ).
fof(f88616,plain,
( e2 != op(e1,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(superposition,[],[f116,f83401]) ).
fof(f83401,plain,
( e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f83179,f145]) ).
fof(f145,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f83179,plain,
( op(e3,e1) = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e0 = unit ),
inference(superposition,[],[f1216,f81923]) ).
fof(f1216,plain,
( op(e3,e1) = op(e3,op(e2,e1))
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f205,f226]) ).
fof(f226,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f205,plain,
op(op(e3,e2),e1) = op(e3,op(e2,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f605,plain,
( e2 = op(e0,op(e3,e2))
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(forward_demodulation,[],[f593,f83]) ).
fof(f593,plain,
( op(e0,op(e3,e2)) = op(unit,e2)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f162,f474]) ).
fof(f474,plain,
( op(e0,e3) = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f88,f96]) ).
fof(f162,plain,
op(op(e0,e3),e2) = op(e0,op(e3,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f93617,plain,
( op(e0,e0) != e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f93606,f48898]) ).
fof(f48898,plain,
( e1 = inv(e0)
| e0 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f48897,f36309]) ).
fof(f36309,plain,
( e2 = op(e0,e3)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f36194,f35091]) ).
fof(f35091,plain,
( e2 != inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f70,f35073]) ).
fof(f70,plain,
inv(e0) != inv(e2),
inference(cnf_transformation,[],[f8]) ).
fof(f36194,plain,
( e2 = op(e0,e3)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f605,f35081]) ).
fof(f48897,plain,
( e2 != op(e0,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f48885,f40478]) ).
fof(f40478,plain,
( e0 = op(e3,e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(forward_demodulation,[],[f40477,f80]) ).
fof(f40477,plain,
( op(e3,e1) = op(e0,unit)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f40476,f35332]) ).
fof(f40476,plain,
( op(e3,e1) = op(e0,unit)
| e0 = op(e0,e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f40475,f35493]) ).
fof(f40475,plain,
( op(e3,e1) = op(e0,unit)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f40328,f39921]) ).
fof(f39921,plain,
( e2 != op(e0,e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f128,f36309]) ).
fof(f40328,plain,
( op(e3,e1) = op(e0,unit)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f931,f39737]) ).
fof(f39737,plain,
( op(e1,e1) = unit
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f90,f39728]) ).
fof(f39728,plain,
( e1 = inv(e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f39727,f232]) ).
fof(f232,plain,
( e0 != inv(e1)
| e1 = inv(e0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e3 = inv(e3)
| e3 != inv(e3) )
& ( e3 = inv(e2)
| e2 != inv(e3) )
& ( e3 = inv(e1)
| e1 != inv(e3) )
& ( e3 = inv(e0)
| e0 != inv(e3) )
& ( e2 = inv(e3)
| e3 != inv(e2) )
& ( e2 = inv(e2)
| e2 != inv(e2) )
& ( e2 = inv(e1)
| e1 != inv(e2) )
& ( e2 = inv(e0)
| e0 != inv(e2) )
& ( e1 = inv(e3)
| e3 != inv(e1) )
& ( e1 = inv(e2)
| e2 != inv(e1) )
& ( e1 = inv(e1)
| e1 != inv(e1) )
& ( e1 = inv(e0)
| e0 != inv(e1) )
& ( e0 = inv(e3)
| e3 != inv(e0) )
& ( e0 = inv(e2)
| e2 != inv(e0) )
& ( e0 = inv(e1)
| e1 != inv(e0) )
& ( e0 = inv(e0)
| e0 != inv(e0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
( ( e3 = inv(e3)
=> e3 = inv(e3) )
& ( e2 = inv(e3)
=> e3 = inv(e2) )
& ( e1 = inv(e3)
=> e3 = inv(e1) )
& ( e0 = inv(e3)
=> e3 = inv(e0) )
& ( e3 = inv(e2)
=> e2 = inv(e3) )
& ( e2 = inv(e2)
=> e2 = inv(e2) )
& ( e1 = inv(e2)
=> e2 = inv(e1) )
& ( e0 = inv(e2)
=> e2 = inv(e0) )
& ( e3 = inv(e1)
=> e1 = inv(e3) )
& ( e2 = inv(e1)
=> e1 = inv(e2) )
& ( e1 = inv(e1)
=> e1 = inv(e1) )
& ( e0 = inv(e1)
=> e1 = inv(e0) )
& ( e3 = inv(e0)
=> e0 = inv(e3) )
& ( e2 = inv(e0)
=> e0 = inv(e2) )
& ( e1 = inv(e0)
=> e0 = inv(e1) )
& ( e0 = inv(e0)
=> e0 = inv(e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f39727,plain,
( e1 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f39726,f35092]) ).
fof(f39726,plain,
( e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f39592,f4572]) ).
fof(f39592,plain,
( e2 != unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f655,f35477]) ).
fof(f35477,plain,
( e2 = op(e3,e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f35342,f35091]) ).
fof(f35342,plain,
( e2 = op(e3,e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f628,f35075]) ).
fof(f628,plain,
( e2 = op(e3,op(e0,e2))
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(forward_demodulation,[],[f613,f83]) ).
fof(f613,plain,
( op(e3,op(e0,e2)) = op(unit,e2)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f198,f475]) ).
fof(f475,plain,
( op(e3,e0) = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f89,f96]) ).
fof(f655,plain,
( op(e3,e0) != unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f142,f488]) ).
fof(f142,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f931,plain,
( op(e3,e1) = op(e0,op(e1,e1))
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(superposition,[],[f153,f213]) ).
fof(f153,plain,
op(op(e0,e1),e1) = op(e0,op(e1,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f48885,plain,
( e0 != op(e3,e1)
| e2 != op(e0,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(trivial_inequality_removal,[],[f48782]) ).
fof(f48782,plain,
( e1 != e1
| e0 != op(e3,e1)
| e2 != op(e0,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f301,f47391]) ).
fof(f47391,plain,
( e1 = op(e3,e3)
| e1 = unit
| e0 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(forward_demodulation,[],[f47390,f82]) ).
fof(f47390,plain,
( op(e3,e3) = op(e1,unit)
| e1 = unit
| e0 = unit
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f47389,f35091]) ).
fof(f47389,plain,
( op(e3,e3) = op(e1,unit)
| e1 = unit
| e0 = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f47349,f232]) ).
fof(f47349,plain,
( op(e3,e3) = op(e1,unit)
| e0 = inv(e1)
| e1 = unit
| e0 = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f43439,f474]) ).
fof(f43439,plain,
( op(e3,e3) = op(e1,op(e0,e3))
| e0 = inv(e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f167,f43324]) ).
fof(f93606,plain,
( e1 != unit
| op(e0,e0) != e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(trivial_inequality_removal,[],[f93605]) ).
fof(f93605,plain,
( e3 != e3
| e1 != unit
| op(e0,e0) != e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f93376]) ).
fof(f93376,plain,
( e3 != e3
| e1 != unit
| op(e0,e0) != e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f616,f93328]) ).
fof(f93328,plain,
( e3 = op(e0,e2)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f93327,f91272]) ).
fof(f91272,plain,
( e0 != op(e2,e0)
| e0 = unit
| e2 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f138,f91123]) ).
fof(f91123,plain,
( e0 = op(e2,e3)
| e0 = unit
| e2 = inv(e0)
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f91122,f81945]) ).
fof(f91122,plain,
( e0 = op(e2,e3)
| e0 = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(subsumption_resolution,[],[f91111,f48898]) ).
fof(f91111,plain,
( e1 != unit
| e0 = op(e2,e3)
| e0 = unit
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f90896,f474]) ).
fof(f90896,plain,
( e1 != op(e0,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f119,f90885]) ).
fof(f90885,plain,
( e1 = op(e2,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f90696,f81923]) ).
fof(f90696,plain,
( e2 != op(e2,e1)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f140,f83611]) ).
fof(f83611,plain,
( e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(trivial_inequality_removal,[],[f83433]) ).
fof(f83433,plain,
( e3 != e3
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f1122,f81924]) ).
fof(f81924,plain,
( e3 = op(e1,e3)
| e0 = unit ),
inference(superposition,[],[f85,f81914]) ).
fof(f1122,plain,
( e3 != op(e1,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f121,f223]) ).
fof(f223,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f121,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f93327,plain,
( e3 = op(e0,e2)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f93326,f87832]) ).
fof(f87832,plain,
( e1 != op(e2,e0)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f105,f82560]) ).
fof(f82560,plain,
( e1 = op(e3,e0)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f82317,f81945]) ).
fof(f82317,plain,
( e1 = op(e3,e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f627,f81919]) ).
fof(f627,plain,
( e1 = op(e3,op(e0,e1))
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(forward_demodulation,[],[f612,f81]) ).
fof(f612,plain,
( op(e3,op(e0,e1)) = op(unit,e1)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f197,f475]) ).
fof(f197,plain,
op(op(e3,e0),e1) = op(e3,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f93326,plain,
( e3 = op(e0,e2)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f93061,f83159]) ).
fof(f83159,plain,
( e2 != op(e2,e0)
| e0 = unit ),
inference(superposition,[],[f136,f81923]) ).
fof(f136,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f93061,plain,
( e3 = op(e0,e2)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(superposition,[],[f89514,f220]) ).
fof(f89514,plain,
( op(e0,e2) = op(e2,e0)
| e2 = inv(e0)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f148,f89339]) ).
fof(f148,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f616,plain,
( e3 != op(e0,e2)
| e1 != unit
| op(e0,e0) != e2
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(superposition,[],[f315,f475]) ).
fof(f315,plain,
( e1 != op(e3,e0)
| e3 != op(e0,e2)
| op(e0,e0) != e2 ),
inference(inner_rewriting,[],[f314]) ).
fof(f314,plain,
( op(e0,e0) != e2
| e3 != op(e0,e2)
| e1 != op(op(e0,e2),e0) ),
inference(inner_rewriting,[],[f265]) ).
fof(f265,plain,
( op(e0,e0) != e2
| e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( op(e0,e0) != e2
| e3 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( op(e0,e0) = e2
& e3 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f89,plain,
unit = op(inv(e0),e0),
inference(cnf_transformation,[],[f4]) ).
fof(f90898,plain,
( e1 != op(e2,e0)
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f138,f90885]) ).
fof(f117587,plain,
( e0 = inv(e0)
| e0 = unit
| e0 = op(e0,e3) ),
inference(subsumption_resolution,[],[f117586,f96952]) ).
fof(f96952,plain,
( e1 != op(e0,e3)
| e0 = inv(e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f96951]) ).
fof(f96951,plain,
( e1 != op(e0,e3)
| e0 = inv(e0)
| e0 = unit
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f96680,f96165]) ).
fof(f96165,plain,
( e1 = op(e2,e0)
| e0 = inv(e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f96070]) ).
fof(f96070,plain,
( e1 = op(e2,e0)
| e0 = inv(e0)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f94299,f81919]) ).
fof(f94299,plain,
( e1 = op(e2,op(e0,e1))
| e0 = inv(e0)
| e0 = unit ),
inference(forward_demodulation,[],[f94020,f81]) ).
fof(f94020,plain,
( op(e2,op(e0,e1)) = op(unit,e1)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f181,f93627]) ).
fof(f181,plain,
op(op(e2,e0),e1) = op(e2,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f96680,plain,
( op(e0,e3) != op(e2,e0)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f105,f95699]) ).
fof(f95699,plain,
( op(e0,e3) = op(e3,e0)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f148,f95681]) ).
fof(f95681,plain,
( op(e0,e0) = e3
| e0 = inv(e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f95638]) ).
fof(f95638,plain,
( op(e0,e0) = e3
| e0 = inv(e0)
| e0 = unit
| e0 = unit
| e0 = inv(e0) ),
inference(superposition,[],[f93991,f94306]) ).
fof(f93991,plain,
( e3 = op(e0,op(e2,e3))
| e0 = inv(e0)
| e0 = unit ),
inference(forward_demodulation,[],[f93735,f85]) ).
fof(f93735,plain,
( op(e0,op(e2,e3)) = op(unit,e3)
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f159,f93626]) ).
fof(f93626,plain,
( op(e0,e2) = unit
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f88,f93619]) ).
fof(f159,plain,
op(op(e0,e2),e3) = op(e0,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f117586,plain,
( e0 = inv(e0)
| e0 = unit
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(subsumption_resolution,[],[f117577,f95681]) ).
fof(f117577,plain,
( op(e0,e0) != e3
| e0 = inv(e0)
| e0 = unit
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(trivial_inequality_removal,[],[f117576]) ).
fof(f117576,plain,
( e2 != e2
| op(e0,e0) != e3
| e0 = inv(e0)
| e0 = unit
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(duplicate_literal_removal,[],[f117572]) ).
fof(f117572,plain,
( e2 != e2
| op(e0,e0) != e3
| e0 = inv(e0)
| e0 = unit
| e0 = unit
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(superposition,[],[f94302,f84363]) ).
fof(f84363,plain,
( e2 = op(e0,e3)
| e0 = unit
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(trivial_inequality_removal,[],[f84359]) ).
fof(f84359,plain,
( e3 != e3
| e0 = unit
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(superposition,[],[f83412,f215]) ).
fof(f215,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f83412,plain,
( e3 != op(e0,e3)
| e0 = unit ),
inference(superposition,[],[f118,f81924]) ).
fof(f118,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f94302,plain,
( e2 != op(e0,e3)
| op(e0,e0) != e3
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f94025,f63637]) ).
fof(f63637,plain,
( op(e0,e0) != e3
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f63636,f62799]) ).
fof(f62799,plain,
( e0 = op(e1,e1)
| e0 = unit
| e1 = unit ),
inference(subsumption_resolution,[],[f62718,f56888]) ).
fof(f56888,plain,
( e0 != inv(e0)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f69,f56880]) ).
fof(f62718,plain,
( e0 = op(e1,e1)
| e0 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(duplicate_literal_removal,[],[f62701]) ).
fof(f62701,plain,
( e0 = op(e1,e1)
| e0 = unit
| e1 = unit
| e0 = inv(e0)
| e0 = unit
| e1 = unit ),
inference(superposition,[],[f49375,f62607]) ).
fof(f49375,plain,
( e0 = op(e1,op(e0,e0))
| e0 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(forward_demodulation,[],[f49172,f79]) ).
fof(f49172,plain,
( op(e1,op(e0,e0)) = op(unit,e0)
| e0 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(superposition,[],[f164,f48904]) ).
fof(f48904,plain,
( op(e1,e0) = unit
| e0 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(superposition,[],[f89,f48898]) ).
fof(f63636,plain,
( op(e0,e0) != e3
| e0 != op(e1,e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f63430,f57193]) ).
fof(f63430,plain,
( op(e0,e0) != e3
| e2 != op(e1,e0)
| e0 != op(e1,e1)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f273,f63056]) ).
fof(f63056,plain,
( op(e0,e0) = op(e2,e1)
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f62953,f56888]) ).
fof(f62953,plain,
( op(e0,e0) = op(e2,e1)
| e1 = unit
| e0 = inv(e0)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f62939]) ).
fof(f62939,plain,
( op(e0,e0) = op(e2,e1)
| e1 = unit
| e0 = inv(e0)
| e0 = unit
| e0 = unit
| e1 = unit ),
inference(superposition,[],[f49400,f62799]) ).
fof(f49400,plain,
( op(e2,e1) = op(e0,op(e1,e1))
| e1 = unit
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f153,f49151]) ).
fof(f49151,plain,
( e2 = op(e0,e1)
| e1 = unit
| e0 = inv(e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f49150,f35332]) ).
fof(f49150,plain,
( e0 = unit
| e1 = unit
| e0 = inv(e0)
| e2 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(subsumption_resolution,[],[f49149,f35493]) ).
fof(f49149,plain,
( e0 = unit
| e1 = unit
| e0 = inv(e0)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(subsumption_resolution,[],[f48966,f36789]) ).
fof(f48966,plain,
( e3 = unit
| e0 = unit
| e1 = unit
| e0 = inv(e0)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(superposition,[],[f48903,f213]) ).
fof(f48903,plain,
( op(e0,e1) = unit
| e0 = unit
| e1 = unit
| e0 = inv(e0) ),
inference(superposition,[],[f88,f48898]) ).
fof(f94025,plain,
( e1 != unit
| e2 != op(e0,e3)
| op(e0,e0) != e3
| e0 = inv(e0)
| e0 = unit ),
inference(superposition,[],[f319,f93627]) ).
fof(f319,plain,
( e1 != op(e2,e0)
| e2 != op(e0,e3)
| op(e0,e0) != e3 ),
inference(inner_rewriting,[],[f318]) ).
fof(f318,plain,
( op(e0,e0) != e3
| e2 != op(e0,e3)
| e1 != op(op(e0,e3),e0) ),
inference(inner_rewriting,[],[f267]) ).
fof(f267,plain,
( op(e0,e0) != e3
| e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( op(e0,e0) != e3
| e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( op(e0,e0) = e3
& e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f149,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f139925,plain,
( op(e0,e0) != e1
| e0 = unit ),
inference(duplicate_literal_removal,[],[f139924]) ).
fof(f139924,plain,
( op(e0,e0) != e1
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f139670,f139216]) ).
fof(f139216,plain,
( op(e0,e0) = op(e2,e2)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f139210]) ).
fof(f139210,plain,
( op(e0,e0) = op(e2,e2)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f131717,f138906]) ).
fof(f138906,plain,
( e0 = op(e3,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f138801,f136323]) ).
fof(f136323,plain,
( op(e1,e3) != op(e3,e0)
| e0 = unit ),
inference(superposition,[],[f142,f136251]) ).
fof(f136251,plain,
( op(e1,e3) = op(e3,e1)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f136213]) ).
fof(f136213,plain,
( op(e1,e3) = op(e3,e1)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f134727,f118053]) ).
fof(f118053,plain,
( op(e1,e3) = op(e0,op(e0,e3))
| e0 = unit ),
inference(superposition,[],[f151,f118029]) ).
fof(f134727,plain,
( op(e3,e1) = op(e0,op(e0,e3))
| e0 = unit ),
inference(subsumption_resolution,[],[f134726,f132854]) ).
fof(f132854,plain,
( e0 != op(e0,e2)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f132849]) ).
fof(f132849,plain,
( e0 != op(e0,e2)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f132315,f81918]) ).
fof(f81918,plain,
( e0 = op(e1,e0)
| e0 = unit ),
inference(superposition,[],[f79,f81914]) ).
fof(f132315,plain,
( op(e0,e2) != op(e1,e0)
| e0 = unit ),
inference(superposition,[],[f132,f131846]) ).
fof(f131846,plain,
( op(e0,e2) = op(e1,e3)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f131839]) ).
fof(f131839,plain,
( op(e0,e2) = op(e1,e3)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f118053,f131553]) ).
fof(f131553,plain,
( e2 = op(e0,e3)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f131548]) ).
fof(f131548,plain,
( e2 = op(e0,e3)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f117924,f131388]) ).
fof(f131388,plain,
( e3 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f131118,f81919]) ).
fof(f131118,plain,
( e0 != op(e0,e1)
| e3 = op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f128,f131106]) ).
fof(f131106,plain,
( e0 = op(e0,e3)
| e3 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f130830,f118029]) ).
fof(f130830,plain,
( op(e0,e0) != e1
| e0 = unit
| e3 = op(e0,e2)
| e0 = op(e0,e3) ),
inference(superposition,[],[f126,f118494]) ).
fof(f118494,plain,
( e1 = op(e0,e3)
| e0 = unit
| e3 = op(e0,e2)
| e0 = op(e0,e3) ),
inference(duplicate_literal_removal,[],[f118433]) ).
fof(f118433,plain,
( e3 = op(e0,e2)
| e0 = unit
| e0 = unit
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(superposition,[],[f117925,f84363]) ).
fof(f117925,plain,
( e3 = op(e0,op(e0,e3))
| e0 = unit ),
inference(forward_demodulation,[],[f117642,f85]) ).
fof(f117642,plain,
( op(e0,op(e0,e3)) = op(unit,e3)
| e0 = unit ),
inference(superposition,[],[f151,f117596]) ).
fof(f126,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f117924,plain,
( e2 = op(e0,op(e0,e2))
| e0 = unit ),
inference(forward_demodulation,[],[f117641,f83]) ).
fof(f117641,plain,
( op(e0,op(e0,e2)) = op(unit,e2)
| e0 = unit ),
inference(superposition,[],[f150,f117596]) ).
fof(f150,plain,
op(op(e0,e0),e2) = op(e0,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f134726,plain,
( op(e3,e1) = op(e0,op(e0,e3))
| e0 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f134725,f132922]) ).
fof(f132922,plain,
( e1 != op(e0,e2)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f132914]) ).
fof(f132914,plain,
( e1 != op(e0,e2)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f132316,f81920]) ).
fof(f81920,plain,
( e1 = op(e1,e1)
| e0 = unit ),
inference(superposition,[],[f81,f81914]) ).
fof(f132316,plain,
( op(e0,e2) != op(e1,e1)
| e0 = unit ),
inference(superposition,[],[f134,f131846]) ).
fof(f134725,plain,
( op(e3,e1) = op(e0,op(e0,e3))
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f134453,f82859]) ).
fof(f82859,plain,
( e2 != op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f112,f81922]) ).
fof(f112,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f134453,plain,
( op(e3,e1) = op(e0,op(e0,e3))
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f958,f134403]) ).
fof(f134403,plain,
( op(e0,e3) = op(e2,e1)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f134354]) ).
fof(f134354,plain,
( op(e0,e3) = op(e2,e1)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f131716,f81925]) ).
fof(f81925,plain,
( e3 = op(e3,e1)
| e0 = unit ),
inference(superposition,[],[f86,f81914]) ).
fof(f131716,plain,
( op(e2,e1) = op(e0,op(e3,e1))
| e0 = unit ),
inference(superposition,[],[f161,f131553]) ).
fof(f161,plain,
op(op(e0,e3),e1) = op(e0,op(e3,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f958,plain,
( op(e3,e1) = op(e0,op(e2,e1))
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f157,f214]) ).
fof(f138801,plain,
( op(e1,e3) = op(e3,e0)
| e0 = op(e3,e2)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f138745]) ).
fof(f138745,plain,
( op(e1,e3) = op(e3,e0)
| e0 = op(e3,e2)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f88805,f138623]) ).
fof(f138623,plain,
( e0 = op(e2,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f138334,f118029]) ).
fof(f138334,plain,
( op(e0,e0) != e1
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f102,f138121]) ).
fof(f138121,plain,
( e1 = op(e3,e0)
| e0 = op(e2,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f138105,f137512]) ).
fof(f137512,plain,
( e0 != op(e3,e0)
| e0 = unit
| e0 = op(e2,e3) ),
inference(superposition,[],[f144,f137145]) ).
fof(f137145,plain,
( e0 = op(e3,e3)
| e0 = unit
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f137070,f136322]) ).
fof(f136322,plain,
( op(e1,e3) != op(e2,e1)
| e0 = unit ),
inference(superposition,[],[f111,f136251]) ).
fof(f137070,plain,
( op(e1,e3) = op(e2,e1)
| e0 = op(e2,e3)
| e0 = unit
| e0 = op(e3,e3) ),
inference(duplicate_literal_removal,[],[f137048]) ).
fof(f137048,plain,
( op(e1,e3) = op(e2,e1)
| e0 = op(e2,e3)
| e0 = unit
| e0 = op(e3,e3)
| e0 = unit ),
inference(superposition,[],[f90904,f131877]) ).
fof(f131877,plain,
( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = unit ),
inference(trivial_inequality_removal,[],[f131876]) ).
fof(f131876,plain,
( e2 != e2
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f131811]) ).
fof(f131811,plain,
( e2 != e2
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = unit
| e0 = unit ),
inference(superposition,[],[f90529,f131553]) ).
fof(f90529,plain,
( e2 != op(e0,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = unit ),
inference(superposition,[],[f120,f83610]) ).
fof(f83610,plain,
( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = unit ),
inference(trivial_inequality_removal,[],[f83434]) ).
fof(f83434,plain,
( e3 != e3
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = unit ),
inference(superposition,[],[f1242,f81924]) ).
fof(f1242,plain,
( e3 != op(e1,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(superposition,[],[f122,f227]) ).
fof(f227,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f122,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f90904,plain,
( op(e1,e3) = op(e2,op(e3,e3))
| e0 = op(e2,e3)
| e0 = unit ),
inference(superposition,[],[f195,f90885]) ).
fof(f195,plain,
op(op(e2,e3),e3) = op(e2,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f138105,plain,
( e0 = unit
| e0 = op(e2,e3)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(trivial_inequality_removal,[],[f138104]) ).
fof(f138104,plain,
( e2 != e2
| e0 = unit
| e0 = op(e2,e3)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(duplicate_literal_removal,[],[f138089]) ).
fof(f138089,plain,
( e2 != e2
| e0 = unit
| e0 = op(e2,e3)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e0 = unit ),
inference(superposition,[],[f137698,f82562]) ).
fof(f82562,plain,
( e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e0 = unit ),
inference(subsumption_resolution,[],[f82327,f142]) ).
fof(f82327,plain,
( op(e3,e0) = op(e3,e1)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e0 = unit ),
inference(superposition,[],[f1149,f81919]) ).
fof(f1149,plain,
( op(e3,e1) = op(e3,op(e0,e1))
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(superposition,[],[f197,f224]) ).
fof(f137698,plain,
( e2 != op(e3,e0)
| e0 = unit
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f137676,f90885]) ).
fof(f137676,plain,
( e2 != op(e3,e0)
| e1 != op(e2,e3)
| e0 = unit
| e0 = op(e2,e3) ),
inference(trivial_inequality_removal,[],[f137527]) ).
fof(f137527,plain,
( e0 != e0
| e2 != op(e3,e0)
| e1 != op(e2,e3)
| e0 = unit
| e0 = op(e2,e3) ),
inference(superposition,[],[f293,f137145]) ).
fof(f293,plain,
( e0 != op(e3,e3)
| e2 != op(e3,e0)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f292]) ).
fof(f292,plain,
( e0 != op(e3,e3)
| e2 != op(e3,e0)
| e1 != op(op(e3,e0),e3) ),
inference(inner_rewriting,[],[f254]) ).
fof(f254,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f88805,plain,
( op(e1,e3) = op(e3,op(e2,e3))
| e0 = op(e3,e2)
| e0 = unit ),
inference(superposition,[],[f207,f88781]) ).
fof(f207,plain,
op(op(e3,e2),e3) = op(e3,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f131717,plain,
( op(e2,e2) = op(e0,op(e3,e2))
| e0 = unit ),
inference(superposition,[],[f162,f131553]) ).
fof(f139670,plain,
( e1 != op(e2,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f139669,f81920]) ).
fof(f139669,plain,
( e1 != op(e2,e2)
| e1 != op(e1,e1)
| e0 = unit ),
inference(subsumption_resolution,[],[f139644,f118029]) ).
fof(f139644,plain,
( op(e0,e0) != e1
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| e0 = unit ),
inference(duplicate_literal_removal,[],[f139496]) ).
fof(f139496,plain,
( op(e0,e0) != e1
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1
| e0 = unit ),
inference(superposition,[],[f269,f138905]) ).
fof(f138905,plain,
( op(e0,e0) = op(e3,e3)
| e0 = unit ),
inference(subsumption_resolution,[],[f138904,f132854]) ).
fof(f138904,plain,
( op(e0,e0) = op(e3,e3)
| e0 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f138903,f132922]) ).
fof(f138903,plain,
( op(e0,e0) = op(e3,e3)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e0 = unit ),
inference(subsumption_resolution,[],[f138657,f82859]) ).
fof(f138657,plain,
( op(e0,e0) = op(e3,e3)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2)
| e0 = unit ),
inference(superposition,[],[f960,f138623]) ).
fof(f960,plain,
( op(e3,e3) = op(e0,op(e2,e3))
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(superposition,[],[f159,f214]) ).
fof(f269,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f62,plain,
unit = inv(unit),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
unit = inv(unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f200305,plain,
e1 = inv(e0),
inference(unit_resulting_resolution,[],[f200304,f232]) ).
fof(f200304,plain,
e0 = inv(e1),
inference(subsumption_resolution,[],[f200119,f200083]) ).
fof(f200083,plain,
( e0 = inv(e1)
| e0 = op(e3,e1) ),
inference(subsumption_resolution,[],[f200073,f199379]) ).
fof(f199379,plain,
( e1 != op(e3,e1)
| e0 = inv(e1) ),
inference(superposition,[],[f146,f199341]) ).
fof(f199341,plain,
( e1 = op(e3,e3)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f199328,f140076]) ).
fof(f140076,plain,
e1 = op(e1,e0),
inference(superposition,[],[f82,f140068]) ).
fof(f199328,plain,
( op(e1,e0) = op(e3,e3)
| e0 = inv(e1) ),
inference(duplicate_literal_removal,[],[f199277]) ).
fof(f199277,plain,
( op(e1,e0) = op(e3,e3)
| e0 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f198434,f196478]) ).
fof(f196478,plain,
( e0 = op(e2,e3)
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f196466]) ).
fof(f196466,plain,
( e0 != e0
| e0 = op(e2,e3)
| e0 = inv(e1) ),
inference(superposition,[],[f190299,f196256]) ).
fof(f196256,plain,
( e0 = op(e1,e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f196233,f140068]) ).
fof(f196233,plain,
( op(e1,e1) = unit
| e0 = inv(e1) ),
inference(superposition,[],[f90,f196223]) ).
fof(f196223,plain,
( e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f196222,f193035]) ).
fof(f193035,plain,
( e1 != op(e1,e3)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f121,f192632]) ).
fof(f192632,plain,
( e1 = op(e2,e3)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f192616]) ).
fof(f192616,plain,
( e0 != e0
| e1 = op(e2,e3)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f156471,f191539]) ).
fof(f191539,plain,
( e0 = op(e1,e2)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f191510,f140068]) ).
fof(f191510,plain,
( op(e1,e2) = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f90,f190303]) ).
fof(f190303,plain,
( e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f190302,f67]) ).
fof(f190302,plain,
( e1 = e3
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f190301,f140076]) ).
fof(f190301,plain,
( e3 = op(e1,e0)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f190178,f171578]) ).
fof(f171578,plain,
( e0 != op(e2,e3)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f171550,f140068]) ).
fof(f171550,plain,
( op(e2,e3) != unit
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f171540,f488]) ).
fof(f171540,plain,
op(e2,e3) != op(e3,e1),
inference(subsumption_resolution,[],[f171539,f121]) ).
fof(f171539,plain,
( op(e2,e3) != op(e3,e1)
| op(e1,e3) = op(e2,e3) ),
inference(inner_rewriting,[],[f171390]) ).
fof(f171390,plain,
( op(e2,e3) != op(e3,e1)
| op(e1,e3) = op(e3,e1) ),
inference(superposition,[],[f145,f171351]) ).
fof(f171351,plain,
( op(e2,e3) = op(e3,e2)
| op(e1,e3) = op(e3,e1) ),
inference(subsumption_resolution,[],[f171234,f155687]) ).
fof(f155687,plain,
( op(e1,e3) = op(e3,e1)
| e0 = op(e2,e3) ),
inference(duplicate_literal_removal,[],[f155655]) ).
fof(f155655,plain,
( op(e1,e3) = op(e3,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f155041,f151203]) ).
fof(f151203,plain,
( e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f151048,f140078]) ).
fof(f140078,plain,
e2 = op(e2,e0),
inference(superposition,[],[f84,f140068]) ).
fof(f151048,plain,
( e2 != op(e2,e0)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f138,f141245]) ).
fof(f141245,plain,
( e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(trivial_inequality_removal,[],[f141114]) ).
fof(f141114,plain,
( e3 != e3
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f1121,f140079]) ).
fof(f140079,plain,
e3 = op(e0,e3),
inference(superposition,[],[f85,f140068]) ).
fof(f1121,plain,
( e3 != op(e0,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f119,f223]) ).
fof(f155041,plain,
( op(e1,e3) = op(e3,op(e2,e3))
| e0 = op(e2,e3) ),
inference(superposition,[],[f207,f155005]) ).
fof(f155005,plain,
( e1 = op(e3,e2)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f154894,f150407]) ).
fof(f150407,plain,
( e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(subsumption_resolution,[],[f150275,f140077]) ).
fof(f140077,plain,
e2 = op(e0,e2),
inference(superposition,[],[f83,f140068]) ).
fof(f150275,plain,
( e2 != op(e0,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f114,f141078]) ).
fof(f141078,plain,
( e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(subsumption_resolution,[],[f140928,f143]) ).
fof(f140928,plain,
( op(e3,e0) = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f1215,f140078]) ).
fof(f1215,plain,
( op(e3,e0) = op(e3,op(e2,e0))
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(superposition,[],[f204,f226]) ).
fof(f204,plain,
op(op(e3,e2),e0) = op(e3,op(e2,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f154894,plain,
( e0 != op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e2,e3) ),
inference(superposition,[],[f147,f154829]) ).
fof(f154829,plain,
( e0 = op(e3,e3)
| e1 = op(e3,e2)
| e0 = op(e2,e3) ),
inference(trivial_inequality_removal,[],[f154828]) ).
fof(f154828,plain,
( e1 != e1
| e1 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f154798,f151203]) ).
fof(f154798,plain,
( e1 != op(e2,e3)
| e1 = op(e3,e2)
| e0 = op(e3,e3) ),
inference(inner_rewriting,[],[f154684]) ).
fof(f154684,plain,
( e1 != op(e2,e3)
| op(e2,e3) = op(e3,e2)
| e0 = op(e3,e3) ),
inference(superposition,[],[f123,f150911]) ).
fof(f150911,plain,
( e1 = op(e3,e3)
| op(e2,e3) = op(e3,e2)
| e0 = op(e3,e3) ),
inference(superposition,[],[f211,f141244]) ).
fof(f141244,plain,
( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(trivial_inequality_removal,[],[f141115]) ).
fof(f141115,plain,
( e3 != e3
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(superposition,[],[f1241,f140079]) ).
fof(f1241,plain,
( e3 != op(e0,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(superposition,[],[f120,f227]) ).
fof(f211,plain,
op(op(e3,e3),e3) = op(e3,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f171234,plain,
( e0 != op(e2,e3)
| op(e2,e3) = op(e3,e2)
| op(e1,e3) = op(e3,e1) ),
inference(superposition,[],[f123,f154691]) ).
fof(f154691,plain,
( e0 = op(e3,e3)
| op(e2,e3) = op(e3,e2)
| op(e1,e3) = op(e3,e1) ),
inference(superposition,[],[f211,f150911]) ).
fof(f190178,plain,
( e3 = op(e1,e0)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1)
| e0 = op(e2,e3) ),
inference(superposition,[],[f650,f190120]) ).
fof(f190120,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f189971,f151203]) ).
fof(f189971,plain,
( e1 != op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f123,f189937]) ).
fof(f189937,plain,
( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f189933,f157383]) ).
fof(f157383,plain,
( e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3) ),
inference(trivial_inequality_removal,[],[f157370]) ).
fof(f157370,plain,
( e2 != e2
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3) ),
inference(superposition,[],[f150906,f156306]) ).
fof(f156306,plain,
( e2 = op(e3,e1)
| e0 = op(e2,e3)
| e0 = op(e1,e3) ),
inference(forward_demodulation,[],[f156305,f140078]) ).
fof(f156305,plain,
( op(e2,e0) = op(e3,e1)
| e0 = op(e2,e3)
| e0 = op(e1,e3) ),
inference(subsumption_resolution,[],[f156300,f151225]) ).
fof(f151225,plain,
( e1 != op(e1,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f121,f151203]) ).
fof(f156300,plain,
( op(e2,e0) = op(e3,e1)
| e0 = op(e2,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(superposition,[],[f155868,f141246]) ).
fof(f141246,plain,
( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(trivial_inequality_removal,[],[f141112]) ).
fof(f141112,plain,
( e3 != e3
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(superposition,[],[f1043,f140079]) ).
fof(f1043,plain,
( e3 != op(e0,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(superposition,[],[f118,f219]) ).
fof(f219,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f155868,plain,
( op(e3,e1) = op(op(e1,e3),e0)
| e0 = op(e2,e3) ),
inference(forward_demodulation,[],[f155719,f140076]) ).
fof(f155719,plain,
( op(op(e1,e3),e0) = op(e3,op(e1,e0))
| e0 = op(e2,e3) ),
inference(superposition,[],[f200,f155687]) ).
fof(f200,plain,
op(op(e3,e1),e0) = op(e3,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f150906,plain,
( e2 != op(e3,e1)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(superposition,[],[f146,f141244]) ).
fof(f189933,plain,
( e0 != op(e1,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(trivial_inequality_removal,[],[f189921]) ).
fof(f189921,plain,
( e1 != e1
| e0 != op(e1,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f151014,f155005]) ).
fof(f151014,plain,
( e1 != op(e3,e2)
| e0 != op(e1,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(trivial_inequality_removal,[],[f150917]) ).
fof(f150917,plain,
( e2 != e2
| e1 != op(e3,e2)
| e0 != op(e1,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(superposition,[],[f277,f141244]) ).
fof(f277,plain,
( e2 != op(e3,e3)
| e1 != op(e3,e2)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f276]) ).
fof(f276,plain,
( e2 != op(e3,e3)
| e1 != op(e3,e2)
| e0 != op(op(e3,e2),e3) ),
inference(inner_rewriting,[],[f246]) ).
fof(f246,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f156471,plain,
( e0 != op(e1,e2)
| e1 = op(e2,e3) ),
inference(superposition,[],[f116,f156446]) ).
fof(f156446,plain,
( e0 = op(e3,e2)
| e1 = op(e2,e3) ),
inference(subsumption_resolution,[],[f156337,f151203]) ).
fof(f156337,plain,
( e0 != op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e3,e2) ),
inference(superposition,[],[f123,f154861]) ).
fof(f154861,plain,
( e0 = op(e3,e3)
| e1 = op(e2,e3)
| e0 = op(e3,e2) ),
inference(trivial_inequality_removal,[],[f154860]) ).
fof(f154860,plain,
( e1 != e1
| e1 = op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e3,e2) ),
inference(superposition,[],[f154800,f150407]) ).
fof(f154800,plain,
( e1 != op(e3,e2)
| e1 = op(e2,e3)
| e0 = op(e3,e3) ),
inference(inner_rewriting,[],[f154687]) ).
fof(f154687,plain,
( e1 != op(e3,e2)
| op(e2,e3) = op(e3,e2)
| e0 = op(e3,e3) ),
inference(superposition,[],[f147,f150911]) ).
fof(f196222,plain,
( e1 = inv(e1)
| e0 = inv(e1)
| e1 = op(e1,e3) ),
inference(subsumption_resolution,[],[f196221,f193253]) ).
fof(f193253,plain,
( e3 != op(e2,e2)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f193246,f191539]) ).
fof(f193246,plain,
( e3 != op(e2,e2)
| e0 != op(e1,e2)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f193044]) ).
fof(f193044,plain,
( e1 != e1
| e3 != op(e2,e2)
| e0 != op(e1,e2)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f275,f192632]) ).
fof(f275,plain,
( e1 != op(e2,e3)
| e3 != op(e2,e2)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f274]) ).
fof(f274,plain,
( e3 != op(e2,e2)
| e1 != op(e2,e3)
| e0 != op(op(e2,e3),e2) ),
inference(inner_rewriting,[],[f245]) ).
fof(f245,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f196221,plain,
( e3 = op(e2,e2)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = op(e1,e3) ),
inference(subsumption_resolution,[],[f196146,f190835]) ).
fof(f190835,plain,
e0 != op(e1,e3),
inference(subsumption_resolution,[],[f190834,f64]) ).
fof(f64,plain,
e0 != e2,
inference(cnf_transformation,[],[f10]) ).
fof(f190834,plain,
( e0 != op(e1,e3)
| e0 = e2 ),
inference(inner_rewriting,[],[f190647]) ).
fof(f190647,plain,
( e0 != op(e1,e3)
| e2 = op(e1,e3) ),
inference(superposition,[],[f121,f190304]) ).
fof(f190304,plain,
( e0 = op(e2,e3)
| e2 = op(e1,e3) ),
inference(forward_demodulation,[],[f190280,f140078]) ).
fof(f190280,plain,
( op(e1,e3) = op(e2,e0)
| e0 = op(e2,e3) ),
inference(duplicate_literal_removal,[],[f190259]) ).
fof(f190259,plain,
( op(e1,e3) = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f151232,f190120]) ).
fof(f151232,plain,
( op(e1,e3) = op(e2,op(e3,e3))
| e0 = op(e2,e3) ),
inference(superposition,[],[f195,f151203]) ).
fof(f196146,plain,
( e3 = op(e2,e2)
| e1 = inv(e1)
| e0 = inv(e1)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(superposition,[],[f192923,f141246]) ).
fof(f192923,plain,
( e3 = op(e2,op(e1,e3))
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f192705,f140079]) ).
fof(f192705,plain,
( op(e0,e3) = op(e2,op(e1,e3))
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f187,f191540]) ).
fof(f191540,plain,
( e0 = op(e2,e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f191511,f140068]) ).
fof(f191511,plain,
( op(e2,e1) = unit
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(superposition,[],[f91,f190303]) ).
fof(f187,plain,
op(op(e2,e1),e3) = op(e2,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f190299,plain,
( e0 != op(e1,e1)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f190298,f175385]) ).
fof(f175385,plain,
( e0 != op(e1,e1)
| e0 = op(e2,e2)
| e0 = op(e2,e3) ),
inference(inner_rewriting,[],[f175180]) ).
fof(f175180,plain,
( e0 != op(e1,e1)
| op(e1,e1) = op(e2,e2)
| e0 = op(e2,e3) ),
inference(superposition,[],[f110,f175149]) ).
fof(f175149,plain,
( e0 = op(e3,e1)
| op(e1,e1) = op(e2,e2)
| e0 = op(e2,e3) ),
inference(duplicate_literal_removal,[],[f175096]) ).
fof(f175096,plain,
( op(e1,e1) = op(e2,e2)
| e0 = op(e3,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(superposition,[],[f170737,f155005]) ).
fof(f170737,plain,
( op(e2,e2) = op(e1,op(e3,e2))
| e0 = op(e3,e1)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f170705,f155037]) ).
fof(f155037,plain,
( e1 != op(e3,e1)
| e0 = op(e2,e3) ),
inference(superposition,[],[f145,f155005]) ).
fof(f170705,plain,
( op(e2,e2) = op(e1,op(e3,e2))
| e1 = op(e3,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e3) ),
inference(superposition,[],[f150099,f155870]) ).
fof(f155870,plain,
( op(e1,op(e3,e2)) = op(e3,op(e1,e2))
| e0 = op(e2,e3) ),
inference(forward_demodulation,[],[f155721,f178]) ).
fof(f155721,plain,
( op(op(e1,e3),e2) = op(e3,op(e1,e2))
| e0 = op(e2,e3) ),
inference(superposition,[],[f202,f155687]) ).
fof(f150099,plain,
( op(e2,e2) = op(e3,op(e1,e2))
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(superposition,[],[f202,f140690]) ).
fof(f140690,plain,
( e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(subsumption_resolution,[],[f140532,f142]) ).
fof(f140532,plain,
( op(e3,e0) = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(superposition,[],[f1182,f140076]) ).
fof(f1182,plain,
( op(e3,e0) = op(e3,op(e1,e0))
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(superposition,[],[f200,f225]) ).
fof(f225,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f190298,plain,
( e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 = op(e2,e3) ),
inference(subsumption_resolution,[],[f190288,f140073]) ).
fof(f140073,plain,
e0 = op(e0,e0),
inference(superposition,[],[f79,f140068]) ).
fof(f190288,plain,
( e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 = op(e2,e3) ),
inference(trivial_inequality_removal,[],[f190161]) ).
fof(f190161,plain,
( e0 != e0
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0)
| e0 = op(e2,e3) ),
inference(superposition,[],[f268,f190120]) ).
fof(f268,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f198434,plain,
( op(e3,e3) = op(e1,op(e2,e3))
| e0 = inv(e1) ),
inference(superposition,[],[f175,f198410]) ).
fof(f198410,plain,
( e3 = op(e1,e2)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f198156,f140076]) ).
fof(f198156,plain,
( e1 != op(e1,e0)
| e0 = inv(e1)
| e3 = op(e1,e2) ),
inference(superposition,[],[f132,f197107]) ).
fof(f197107,plain,
( e1 = op(e1,e3)
| e0 = inv(e1)
| e3 = op(e1,e2) ),
inference(subsumption_resolution,[],[f197044,f190835]) ).
fof(f197044,plain,
( e3 = op(e1,e2)
| e0 = inv(e1)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(superposition,[],[f196536,f141246]) ).
fof(f196536,plain,
( e3 = op(e1,op(e1,e3))
| e0 = inv(e1) ),
inference(forward_demodulation,[],[f196284,f140079]) ).
fof(f196284,plain,
( op(e0,e3) = op(e1,op(e1,e3))
| e0 = inv(e1) ),
inference(superposition,[],[f171,f196256]) ).
fof(f175,plain,
op(op(e1,e2),e3) = op(e1,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f200073,plain,
( e0 = inv(e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(trivial_inequality_removal,[],[f200062]) ).
fof(f200062,plain,
( e2 != e2
| e0 = inv(e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(superposition,[],[f199524,f140690]) ).
fof(f199524,plain,
( e2 != op(e3,e1)
| e0 = inv(e1) ),
inference(subsumption_resolution,[],[f199515,f196478]) ).
fof(f199515,plain,
( e2 != op(e3,e1)
| e0 != op(e2,e3)
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f199391]) ).
fof(f199391,plain,
( e1 != e1
| e2 != op(e3,e1)
| e0 != op(e2,e3)
| e0 = inv(e1) ),
inference(superposition,[],[f279,f199341]) ).
fof(f279,plain,
( e1 != op(e3,e3)
| e2 != op(e3,e1)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f278]) ).
fof(f278,plain,
( e1 != op(e3,e3)
| e2 != op(e3,e1)
| e0 != op(op(e3,e1),e3) ),
inference(inner_rewriting,[],[f247]) ).
fof(f247,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f200119,plain,
( e0 != op(e3,e1)
| e0 = inv(e1) ),
inference(superposition,[],[f145,f199771]) ).
fof(f199771,plain,
( e0 = op(e3,e2)
| e0 = inv(e1) ),
inference(trivial_inequality_removal,[],[f199750]) ).
fof(f199750,plain,
( e1 != e1
| e0 = inv(e1)
| e0 = op(e3,e2) ),
inference(superposition,[],[f199380,f150407]) ).
fof(f199380,plain,
( e1 != op(e3,e2)
| e0 = inv(e1) ),
inference(superposition,[],[f147,f199341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG024+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:55:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (19343)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (19347)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (19346)WARNING: value z3 for option sas not known
% 0.14/0.38 % (19344)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (19345)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (19346)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)
% 0.14/0.38 % (19348)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)
% 0.14/0.38 % (19350)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)
% 0.14/0.38 % (19349)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)
% 0.14/0.39 Detected minimum model sizes of [4]
% 0.14/0.39 Detected maximum model sizes of [max]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 Detected minimum model sizes of [4]
% 0.14/0.39 Detected maximum model sizes of [max]
% 0.14/0.40 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.44 TRYING [6]
% 0.20/0.48 TRYING [6]
% 0.20/0.51 TRYING [7]
% 0.20/0.53 TRYING [7]
% 0.20/0.57 TRYING [8]
% 0.20/0.59 TRYING [8]
% 2.00/0.65 TRYING [9]
% 2.00/0.66 TRYING [9]
% 2.52/0.75 TRYING [10]
% 2.52/0.76 TRYING [10]
% 3.61/0.88 TRYING [11]
% 3.61/0.88 TRYING [11]
% 4.60/1.03 TRYING [12]
% 4.60/1.04 TRYING [12]
% 5.93/1.21 TRYING [13]
% 6.18/1.23 TRYING [13]
% 7.33/1.44 TRYING [14]
% 7.81/1.47 TRYING [14]
% 7.81/1.49 Detected minimum model sizes of [4]
% 7.81/1.49 Detected maximum model sizes of [max]
% 7.81/1.49 TRYING [4]
% 8.04/1.51 TRYING [5]
% 8.30/1.53 TRYING [6]
% 8.30/1.58 TRYING [7]
% 8.98/1.64 TRYING [8]
% 9.45/1.71 TRYING [9]
% 9.45/1.72 TRYING [15]
% 9.45/1.74 TRYING [15]
% 10.07/1.80 % (19350)First to succeed.
% 10.07/1.80 TRYING [10]
% 10.07/1.81 % (19350)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19343"
% 10.07/1.81 % (19350)Refutation found. Thanks to Tanya!
% 10.07/1.81 % SZS status Unsatisfiable for theBenchmark
% 10.07/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 10.07/1.81 % (19350)------------------------------
% 10.07/1.81 % (19350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.07/1.81 % (19350)Termination reason: Refutation
% 10.07/1.81
% 10.07/1.81 % (19350)Memory used [KB]: 4147
% 10.07/1.81 % (19350)Time elapsed: 1.428 s
% 10.07/1.81 % (19350)Instructions burned: 6577 (million)
% 10.07/1.81 % (19343)Success in time 1.435 s
%------------------------------------------------------------------------------