%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG057+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 12:53:18 PM UTC 2026
% Result : Theorem 4.06s 6.30s
% Output : CNFRefutation 4.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f44ERROR: Could not build tree for root c_5607ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f45,plain,
( ~ sP33
| ( op(e0,op(e3,e0)) = e3
& op(e3,op(e3,e0)) != e0 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f46,plain,
( ~ sP32
| ( op(e0,op(e4,e0)) = e4
& op(e4,op(e4,e0)) != e0 ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f49,plain,
( ~ sP29
| ( op(e2,op(e3,e2)) = e3
& op(e3,op(e3,e2)) != e2 ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f50,plain,
( ~ sP28
| ( op(e2,op(e4,e2)) = e4
& op(e4,op(e4,e2)) != e2 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f53,plain,
( ~ sP25
| ( op(e4,op(e3,e4)) = e3
& op(e3,op(e3,e4)) != e4 ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f54,plain,
( ~ sP24
| ( op(e4,op(e4,e4)) = e4
& op(e4,op(e4,e4)) != e4 ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f55,plain,
( ~ sP23
| ( op(op(e0,e1),e0) != e1
& op(op(e0,e1),e1) = e0
& op(e1,e0) != op(e0,e1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f56,plain,
( ~ sP22
| ( op(op(e0,e2),e0) != e2
& op(op(e0,e2),e2) = e0
& op(e2,e0) != op(e0,e2) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f57,plain,
( ~ sP21
| ( op(op(e0,e3),e0) != e3
& op(op(e0,e3),e3) = e0
& op(e3,e0) != op(e0,e3) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f58,plain,
( ~ sP20
| ( op(op(e0,e4),e0) != e4
& op(op(e0,e4),e4) = e0
& op(e4,e0) != op(e0,e4) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f59,plain,
( ~ sP19
| ( op(op(e1,e0),e1) != e0
& op(op(e1,e0),e0) = e1
& op(e0,e1) != op(e1,e0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f61,plain,
( ~ sP17
| ( op(op(e1,e2),e1) != e2
& op(op(e1,e2),e2) = e1
& op(e2,e1) != op(e1,e2) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f62,plain,
( ~ sP16
| ( op(op(e1,e3),e1) != e3
& op(op(e1,e3),e3) = e1
& op(e3,e1) != op(e1,e3) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f63,plain,
( ~ sP15
| ( op(op(e1,e4),e1) != e4
& op(op(e1,e4),e4) = e1
& op(e4,e1) != op(e1,e4) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f64,plain,
( ~ sP14
| ( op(op(e2,e0),e2) != e0
& op(op(e2,e0),e0) = e2
& op(e0,e2) != op(e2,e0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f65,plain,
( ~ sP13
| ( op(op(e2,e1),e2) != e1
& op(op(e2,e1),e1) = e2
& op(e1,e2) != op(e2,e1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f67,plain,
( ~ sP11
| ( op(op(e2,e3),e2) != e3
& op(op(e2,e3),e3) = e2
& op(e3,e2) != op(e2,e3) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f68,plain,
( ~ sP10
| ( op(op(e2,e4),e2) != e4
& op(op(e2,e4),e4) = e2
& op(e4,e2) != op(e2,e4) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f69,plain,
( ~ sP9
| ( op(op(e3,e0),e3) != e0
& op(op(e3,e0),e0) = e3
& op(e0,e3) != op(e3,e0) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f70,plain,
( ~ sP8
| ( op(op(e3,e1),e3) != e1
& op(op(e3,e1),e1) = e3
& op(e1,e3) != op(e3,e1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f71,plain,
( ~ sP7
| ( op(op(e3,e2),e3) != e2
& op(op(e3,e2),e2) = e3
& op(e2,e3) != op(e3,e2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f73,plain,
( ~ sP5
| ( op(op(e3,e4),e3) != e4
& op(op(e3,e4),e4) = e3
& op(e4,e3) != op(e3,e4) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f74,plain,
( ~ sP4
| ( op(op(e4,e0),e4) != e0
& op(op(e4,e0),e0) = e4
& op(e0,e4) != op(e4,e0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f75,plain,
( ~ sP3
| ( op(op(e4,e1),e4) != e1
& op(op(e4,e1),e1) = e4
& op(e1,e4) != op(e4,e1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f76,plain,
( ~ sP2
| ( op(op(e4,e2),e4) != e2
& op(op(e4,e2),e2) = e4
& op(e2,e4) != op(e4,e2) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f77,plain,
( ~ sP1
| ( op(op(e4,e3),e4) != e3
& op(op(e4,e3),e3) = e4
& op(e3,e4) != op(e4,e3) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f80,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f90,plain,
( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f92,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f93,plain,
( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f94,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f98,plain,
( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f99,plain,
( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f100,plain,
( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f101,plain,
( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f102,plain,
( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f104,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f105,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f106,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f107,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f108,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f110,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f111,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f112,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f118,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f131,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f133,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f159,plain,
( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f165,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f173,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f174,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f176,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f177,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f178,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f179,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f180,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f182,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f183,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f185,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f187,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f188,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f189,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f190,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f191,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f192,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f193,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f194,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f195,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f196,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f198,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f200,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f201,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f202,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f203,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f205,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f206,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f208,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f209,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f210,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f211,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f213,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f218,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f220,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f221,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f222,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f223,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f224,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f225,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f226,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f231,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f232,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f233,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f234,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f236,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f237,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f238,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f239,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f240,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f241,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f242,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f243,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f244,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f245,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f251,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f253,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f260,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f265,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f267,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f268,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f269,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f270,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f271,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f272,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f273,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f274,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f275,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f276,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f277,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f278,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f280,plain,
( ~ sP33
| e0 != op(e3,op(e3,e0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f282,plain,
( ~ sP32
| e0 != op(e4,op(e4,e0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f287,plain,
( ~ sP29
| e3 = op(e2,op(e3,e2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f289,plain,
( ~ sP28
| e4 = op(e2,op(e4,e2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f290,plain,
( ~ sP28
| e2 != op(e4,op(e4,e2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f295,plain,
( ~ sP25
| e3 = op(e4,op(e3,e4)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f296,plain,
( ~ sP25
| e4 != op(e3,op(e3,e4)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f297,plain,
( ~ sP24
| e4 = op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f298,plain,
( ~ sP24
| e4 != op(e4,op(e4,e4)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f301,plain,
( ~ sP23
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f302,plain,
( ~ sP22
| e2 != op(op(e0,e2),e0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f304,plain,
( ~ sP22
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f306,plain,
( ~ sP21
| e0 = op(op(e0,e3),e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f307,plain,
( ~ sP21
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f309,plain,
( ~ sP20
| e0 = op(op(e0,e4),e4) ),
inference(cnf_transformation,[],[f58]) ).
fof(f310,plain,
( ~ sP20
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f313,plain,
( ~ sP19
| op(e0,e1) != op(e1,e0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f318,plain,
( ~ sP17
| e1 = op(op(e1,e2),e2) ),
inference(cnf_transformation,[],[f61]) ).
fof(f319,plain,
( ~ sP17
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f321,plain,
( ~ sP16
| e1 = op(op(e1,e3),e3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f322,plain,
( ~ sP16
| op(e1,e3) != op(e3,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f324,plain,
( ~ sP15
| e1 = op(op(e1,e4),e4) ),
inference(cnf_transformation,[],[f63]) ).
fof(f327,plain,
( ~ sP14
| e2 = op(op(e2,e0),e0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f328,plain,
( ~ sP14
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f330,plain,
( ~ sP13
| e2 = op(op(e2,e1),e1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f331,plain,
( ~ sP13
| op(e1,e2) != op(e2,e1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f336,plain,
( ~ sP11
| e2 = op(op(e2,e3),e3) ),
inference(cnf_transformation,[],[f67]) ).
fof(f337,plain,
( ~ sP11
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f339,plain,
( ~ sP10
| e2 = op(op(e2,e4),e4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f341,plain,
( ~ sP9
| e0 != op(op(e3,e0),e3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f343,plain,
( ~ sP9
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f344,plain,
( ~ sP8
| e1 != op(op(e3,e1),e3) ),
inference(cnf_transformation,[],[f70]) ).
fof(f346,plain,
( ~ sP8
| op(e1,e3) != op(e3,e1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f348,plain,
( ~ sP7
| e3 = op(op(e3,e2),e2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f349,plain,
( ~ sP7
| op(e2,e3) != op(e3,e2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f354,plain,
( ~ sP5
| e3 = op(op(e3,e4),e4) ),
inference(cnf_transformation,[],[f73]) ).
fof(f356,plain,
( ~ sP4
| e0 != op(op(e4,e0),e4) ),
inference(cnf_transformation,[],[f74]) ).
fof(f357,plain,
( ~ sP4
| e4 = op(op(e4,e0),e0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f359,plain,
( ~ sP3
| e1 != op(op(e4,e1),e4) ),
inference(cnf_transformation,[],[f75]) ).
fof(f361,plain,
( ~ sP3
| op(e1,e4) != op(e4,e1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f362,plain,
( ~ sP2
| e2 != op(op(e4,e2),e4) ),
inference(cnf_transformation,[],[f76]) ).
fof(f363,plain,
( ~ sP2
| e4 = op(op(e4,e2),e2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f365,plain,
( ~ sP1
| e3 != op(op(e4,e3),e4) ),
inference(cnf_transformation,[],[f77]) ).
fof(f371,plain,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| e0 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f376,plain,
( sP24
| sP25
| e2 = op(e4,op(e2,e4))
| e4 != op(e1,op(e1,e4))
| e0 = op(e4,op(e0,e4)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f378,plain,
( sP24
| sP25
| e2 = op(e4,op(e2,e4))
| e1 = op(e4,op(e1,e4))
| e4 != op(e0,op(e0,e4)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f390,plain,
( sP28
| sP29
| e2 = op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f391,plain,
( sP28
| sP29
| e2 != op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e0 = op(e2,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f394,plain,
( sP28
| sP29
| e2 = op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f395,plain,
( sP28
| sP29
| e2 != op(e2,op(e2,e2))
| e1 = op(e2,op(e1,e2))
| e2 != op(e0,op(e0,e2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f406,plain,
( sP32
| sP33
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f410,plain,
( sP32
| sP33
| e2 = op(e0,op(e2,e0))
| e1 = op(e0,op(e1,e0))
| e0 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_50,plain,
( ( op(e0,e1) = e4 )
| ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_51,plain,
( ( op(e0,e2) = e4 )
| ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_52,plain,
( ( op(e0,e3) = e4 )
| ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_53,plain,
( ( op(e0,e4) = e4 )
| ( op(e0,e4) = e3 )
| ( op(e0,e4) = e2 )
| ( op(e0,e4) = e1 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_54,plain,
( ( op(e1,e0) = e4 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_56,plain,
( ( op(e1,e2) = e4 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_58,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e0 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_59,plain,
( ( op(e2,e0) = e4 )
| ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_60,plain,
( ( op(e2,e1) = e4 )
| ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_62,plain,
( ( op(e2,e3) = e4 )
| ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_65,plain,
( ( op(e3,e1) = e4 )
| ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_66,plain,
( ( op(e3,e2) = e4 )
| ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_67,plain,
( ( op(e3,e3) = e4 )
| ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_69,plain,
( ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_70,plain,
( ( op(e4,e1) = e4 )
| ( op(e4,e1) = e3 )
| ( op(e4,e1) = e2 )
| ( op(e4,e1) = e1 )
| ( op(e4,e1) = e0 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_71,plain,
( ( op(e4,e2) = e4 )
| ( op(e4,e2) = e3 )
| ( op(e4,e2) = e2 )
| ( op(e4,e2) = e1 )
| ( op(e4,e2) = e0 ) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_72,plain,
( ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_74,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f114]) ).
tcf(c_75,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f113]) ).
tcf(c_76,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f112]) ).
tcf(c_77,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f111]) ).
tcf(c_78,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f110]) ).
tcf(c_79,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f109]) ).
tcf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f108]) ).
tcf(c_81,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f107]) ).
tcf(c_82,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f106]) ).
tcf(c_83,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f105]) ).
tcf(c_84,plain,
( ( e4 = unit )
| ( e3 = unit )
| ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_90,plain,
( ( op(e4,e0) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_92,plain,
( ( op(e4,e0) = e3 )
| ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_100,plain,
( ( op(e4,e1) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_107,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_108,plain,
( ( op(e4,e2) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_110,plain,
( ( op(e4,e2) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_112,plain,
( ( op(e4,e2) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_116,plain,
( ( op(e4,e3) = e0 )
| ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_118,plain,
( ( op(e4,e3) = e1 )
| ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_119,plain,
( ( op(e3,e4) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_122,plain,
( ( op(e4,e3) = e3 )
| ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_123,plain,
( ( op(e3,e4) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e3,e2) = e4 )
| ( op(e3,e1) = e4 )
| ( op(e3,e0) = e4 ) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_124,plain,
( ( op(e4,e3) = e4 )
| ( op(e3,e3) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e1,e3) = e4 )
| ( op(e0,e3) = e4 ) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_130,plain,
( ( op(e4,e4) = e2 )
| ( op(e3,e4) = e2 )
| ( op(e2,e4) = e2 )
| ( op(e1,e4) = e2 )
| ( op(e0,e4) = e2 ) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_131,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_139,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f260]) ).
tcf(c_146,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f253]) ).
tcf(c_148,plain,
op(e0,e1) != op(e4,e1),
inference(cnf_transformation,[],[f251]) ).
tcf(c_154,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f245]) ).
tcf(c_155,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f244]) ).
tcf(c_156,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f243]) ).
tcf(c_157,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_158,plain,
op(e0,e2) != op(e4,e2),
inference(cnf_transformation,[],[f241]) ).
tcf(c_159,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f240]) ).
tcf(c_160,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_161,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f238]) ).
tcf(c_162,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f237]) ).
tcf(c_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f236]) ).
tcf(c_165,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f234]) ).
tcf(c_166,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f233]) ).
tcf(c_167,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f232]) ).
tcf(c_168,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f231]) ).
tcf(c_173,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f226]) ).
tcf(c_174,plain,
op(e3,e3) != op(e4,e3),
inference(cnf_transformation,[],[f225]) ).
tcf(c_175,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f224]) ).
tcf(c_176,plain,
op(e0,e4) != op(e2,e4),
inference(cnf_transformation,[],[f223]) ).
tcf(c_177,plain,
op(e0,e4) != op(e3,e4),
inference(cnf_transformation,[],[f222]) ).
tcf(c_178,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f221]) ).
tcf(c_179,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f220]) ).
tcf(c_180,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f219]) ).
tcf(c_181,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f218]) ).
tcf(c_183,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f216]) ).
tcf(c_186,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f213]) ).
tcf(c_188,plain,
op(e0,e0) != op(e0,e4),
inference(cnf_transformation,[],[f211]) ).
tcf(c_189,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f210]) ).
tcf(c_190,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f209]) ).
tcf(c_191,plain,
op(e0,e1) != op(e0,e4),
inference(cnf_transformation,[],[f208]) ).
tcf(c_193,plain,
op(e0,e2) != op(e0,e4),
inference(cnf_transformation,[],[f206]) ).
tcf(c_194,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f205]) ).
tcf(c_196,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f203]) ).
tcf(c_197,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_198,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f201]) ).
tcf(c_199,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f200]) ).
tcf(c_201,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f198]) ).
tcf(c_203,plain,
op(e1,e2) != op(e1,e4),
inference(cnf_transformation,[],[f196]) ).
tcf(c_204,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f195]) ).
tcf(c_205,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f194]) ).
tcf(c_206,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f193]) ).
tcf(c_207,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f192]) ).
tcf(c_208,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f191]) ).
tcf(c_209,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f190]) ).
tcf(c_210,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f189]) ).
tcf(c_211,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f188]) ).
tcf(c_212,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f187]) ).
tcf(c_214,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f185]) ).
tcf(c_216,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f183]) ).
tcf(c_217,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f182]) ).
tcf(c_219,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f180]) ).
tcf(c_220,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f179]) ).
tcf(c_221,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f178]) ).
tcf(c_222,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f177]) ).
tcf(c_223,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f176]) ).
tcf(c_224,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f175]) ).
tcf(c_225,plain,
op(e4,e0) != op(e4,e1),
inference(cnf_transformation,[],[f174]) ).
tcf(c_226,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f173]) ).
tcf(c_227,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f172]) ).
tcf(c_228,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f171]) ).
tcf(c_229,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f170]) ).
tcf(c_230,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f169]) ).
tcf(c_231,plain,
op(e4,e1) != op(e4,e4),
inference(cnf_transformation,[],[f168]) ).
tcf(c_232,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f167]) ).
tcf(c_233,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f166]) ).
tcf(c_234,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f165]) ).
tcf(c_235,plain,
e0 != e1,
inference(cnf_transformation,[],[f274]) ).
tcf(c_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f273]) ).
tcf(c_237,plain,
e0 != e3,
inference(cnf_transformation,[],[f272]) ).
tcf(c_238,plain,
e0 != e4,
inference(cnf_transformation,[],[f271]) ).
tcf(c_239,plain,
e1 != e2,
inference(cnf_transformation,[],[f270]) ).
tcf(c_240,plain,
e1 != e3,
inference(cnf_transformation,[],[f269]) ).
tcf(c_241,plain,
e1 != e4,
inference(cnf_transformation,[],[f268]) ).
tcf(c_242,plain,
e2 != e3,
inference(cnf_transformation,[],[f267]) ).
tcf(c_243,plain,
e2 != e4,
inference(cnf_transformation,[],[f266]) ).
tcf(c_244,plain,
e3 != e4,
inference(cnf_transformation,[],[f265]) ).
tcf(c_245,plain,
op(op(e2,e2),op(e2,e2)) = e0,
inference(cnf_transformation,[],[f278]) ).
tcf(c_246,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
inference(cnf_transformation,[],[f277]) ).
tcf(c_247,plain,
op(e2,op(e2,e2)) = e3,
inference(cnf_transformation,[],[f276]) ).
tcf(c_248,plain,
op(e2,e2) = e4,
inference(cnf_transformation,[],[f275]) ).
tcf(c_249,plain,
( ~ sP33
| ( op(e3,op(e3,e0)) != e0 ) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_251,plain,
( ~ sP32
| ( op(e4,op(e4,e0)) != e0 ) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_258,plain,
( ( op(e2,op(e3,e2)) = e3 )
| ~ sP29 ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_259,plain,
( ~ sP28
| ( op(e4,op(e4,e2)) != e2 ) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_260,plain,
( ( op(e2,op(e4,e2)) = e4 )
| ~ sP28 ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_265,plain,
( ~ sP25
| ( op(e3,op(e3,e4)) != e4 ) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_266,plain,
( ( op(e4,op(e3,e4)) = e3 )
| ~ sP25 ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_267,plain,
( ~ sP24
| ( op(e4,op(e4,e4)) != e4 ) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_268,plain,
( ( op(e4,op(e4,e4)) = e4 )
| ~ sP24 ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_269,plain,
( ~ sP23
| ( op(e0,e1) != op(e1,e0) ) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_272,plain,
( ~ sP22
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f304]) ).
tcf(c_274,plain,
( ~ sP22
| ( op(op(e0,e2),e0) != e2 ) ),
inference(cnf_transformation,[],[f302]) ).
tcf(c_275,plain,
( ~ sP21
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f307]) ).
tcf(c_276,plain,
( ( op(op(e0,e3),e3) = e0 )
| ~ sP21 ),
inference(cnf_transformation,[],[f306]) ).
tcf(c_278,plain,
( ~ sP20
| ( op(e0,e4) != op(e4,e0) ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_279,plain,
( ( op(op(e0,e4),e4) = e0 )
| ~ sP20 ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_281,plain,
( ~ sP19
| ( op(e0,e1) != op(e1,e0) ) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_284,plain,
~ sP18,
inference(cnf_transformation,[],[f414]) ).
tcf(c_287,plain,
( ~ sP17
| ( op(e1,e2) != op(e2,e1) ) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_288,plain,
( ( op(op(e1,e2),e2) = e1 )
| ~ sP17 ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_290,plain,
( ~ sP16
| ( op(e1,e3) != op(e3,e1) ) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_291,plain,
( ( op(op(e1,e3),e3) = e1 )
| ~ sP16 ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_294,plain,
( ( op(op(e1,e4),e4) = e1 )
| ~ sP15 ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_296,plain,
( ~ sP14
| ( op(e0,e2) != op(e2,e0) ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_297,plain,
( ( op(op(e2,e0),e0) = e2 )
| ~ sP14 ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_299,plain,
( ~ sP13
| ( op(e1,e2) != op(e2,e1) ) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_300,plain,
( ( op(op(e2,e1),e1) = e2 )
| ~ sP13 ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_302,plain,
~ sP12,
inference(cnf_transformation,[],[f415]) ).
tcf(c_305,plain,
( ~ sP11
| ( op(e2,e3) != op(e3,e2) ) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_306,plain,
( ( op(op(e2,e3),e3) = e2 )
| ~ sP11 ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_309,plain,
( ( op(op(e2,e4),e4) = e2 )
| ~ sP10 ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_311,plain,
( ~ sP9
| ( op(e0,e3) != op(e3,e0) ) ),
inference(cnf_transformation,[],[f343]) ).
tcf(c_313,plain,
( ~ sP9
| ( op(op(e3,e0),e3) != e0 ) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_314,plain,
( ~ sP8
| ( op(e1,e3) != op(e3,e1) ) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_316,plain,
( ~ sP8
| ( op(op(e3,e1),e3) != e1 ) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_317,plain,
( ~ sP7
| ( op(e2,e3) != op(e3,e2) ) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_318,plain,
( ( op(op(e3,e2),e2) = e3 )
| ~ sP7 ),
inference(cnf_transformation,[],[f348]) ).
tcf(c_320,plain,
~ sP6,
inference(cnf_transformation,[],[f416]) ).
tcf(c_324,plain,
( ( op(op(e3,e4),e4) = e3 )
| ~ sP5 ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_327,plain,
( ( op(op(e4,e0),e0) = e4 )
| ~ sP4 ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_328,plain,
( ~ sP4
| ( op(op(e4,e0),e4) != e0 ) ),
inference(cnf_transformation,[],[f356]) ).
tcf(c_329,plain,
( ~ sP3
| ( op(e1,e4) != op(e4,e1) ) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_331,plain,
( ~ sP3
| ( op(op(e4,e1),e4) != e1 ) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_333,plain,
( ( op(op(e4,e2),e2) = e4 )
| ~ sP2 ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_334,plain,
( ~ sP2
| ( op(op(e4,e2),e4) != e2 ) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_337,plain,
( ~ sP1
| ( op(op(e4,e3),e4) != e3 ) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_338,plain,
~ sP0,
inference(cnf_transformation,[],[f417]) ).
tcf(c_344,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) != e0 ) ),
inference(cnf_transformation,[],[f410]) ).
tcf(c_348,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 )
| ( op(e0,op(e0,e0)) = e0 ) ),
inference(cnf_transformation,[],[f406]) ).
tcf(c_359,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e2,e2)) != e2 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_360,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_363,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e2,e2)) != e2 ) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_364,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e2,e2)) = e2 )
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(cnf_transformation,[],[f390]) ).
tcf(c_376,negated_conjecture,
( sP24
| sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_378,negated_conjecture,
( sP24
| sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(cnf_transformation,[],[f376]) ).
tcf(c_381,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(cnf_transformation,[],[f418]) ).
tcf(c_383,negated_conjecture,
( sP0
| sP1
| sP2
| sP3
| sP4
| sP5
| sP6
| sP7
| sP8
| sP9
| sP10
| sP11
| sP12
| sP13
| sP14
| sP15
| sP16
| sP17
| sP18
| sP19
| sP20
| sP21
| sP22
| sP23
| ( op(op(e0,e0),e0) != e0 ) ),
inference(cnf_transformation,[],[f371]) ).
tcf(c_392,plain,
~ sP24,
inference(global_subsumption_just,[status(thm)],[c_268,c_268,c_267]) ).
tcf(c_408,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP19
| sP20
| sP21
| sP22
| sP23
| sP17
| sP16
| sP15
| sP14
| sP13
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_381,c_338,c_320,c_302,c_284,c_381]) ).
tcf(c_409,negated_conjecture,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(renaming,[status(thm)],[c_408]) ).
tcf(c_414,plain,
( sP28
| sP29
| ( op(e2,op(e0,e2)) = e0 )
| ( op(e2,op(e1,e2)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_364,c_364,c_363]) ).
tcf(c_415,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(renaming,[status(thm)],[c_414]) ).
tcf(c_418,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_348,c_348,c_344]) ).
tcf(c_422,plain,
( ( op(e1,op(e1,e4)) != e4 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e4,op(e2,e4)) = e2 )
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_378,c_268,c_267,c_378]) ).
tcf(c_423,negated_conjecture,
( sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e0,e4)) = e0 )
| ( op(e1,op(e1,e4)) != e4 ) ),
inference(renaming,[status(thm)],[c_422]) ).
tcf(c_424,plain,
( ( op(e0,op(e0,e4)) != e4 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e4,op(e2,e4)) = e2 )
| sP25 ),
inference(global_subsumption_just,[status(thm)],[c_376,c_376,c_392]) ).
tcf(c_425,negated_conjecture,
( sP25
| ( op(e4,op(e2,e4)) = e2 )
| ( op(e4,op(e1,e4)) = e1 )
| ( op(e0,op(e0,e4)) != e4 ) ),
inference(renaming,[status(thm)],[c_424]) ).
tcf(c_432,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e2,op(e0,e2)) = e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_363,c_415]) ).
tcf(c_436,plain,
( sP28
| sP29
| ( op(e0,op(e0,e2)) != e2 )
| ( op(e2,op(e1,e2)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_360,c_360,c_359]) ).
tcf(c_437,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(renaming,[status(thm)],[c_436]) ).
tcf(c_448,negated_conjecture,
( sP32
| sP33
| ( op(e0,op(e2,e0)) = e2 )
| ( op(e0,op(e1,e0)) = e1 ) ),
inference(global_subsumption_just,[status(thm)],[c_344,c_418]) ).
tcf(c_464,negated_conjecture,
( sP28
| sP29
| ( op(e2,op(e1,e2)) = e1 )
| ( op(e0,op(e0,e2)) != e2 ) ),
inference(global_subsumption_just,[status(thm)],[c_359,c_437]) ).
tcf(c_498,plain,
( sP7
| sP8
| sP9
| sP10
| sP11
| sP19
| sP20
| sP21
| sP22
| sP23
| sP17
| sP16
| sP15
| sP14
| sP13
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(global_subsumption_just,[status(thm)],[c_383,c_409]) ).
tcf(c_499,negated_conjecture,
( sP1
| sP2
| sP3
| sP4
| sP5
| sP7
| sP8
| sP9
| sP10
| sP11
| sP13
| sP14
| sP15
| sP16
| sP17
| sP19
| sP20
| sP21
| sP22
| sP23 ),
inference(renaming,[status(thm)],[c_498]) ).
tcf(c_5607,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_464,c_425,c_423,c_448,c_432,c_499,c_337,c_334,c_333,c_331,c_329,c_328,c_327,c_324,c_318,c_317,c_316,c_314,c_313,c_311,c_309,c_306,c_305,c_300,c_299,c_297,c_296,c_294,c_291,c_290,c_288,c_287,c_281,c_279,c_278,c_276,c_275,c_274,c_272,c_269,c_266,c_265,c_260,c_259,c_258,c_251,c_249,c_248,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_231,c_230,c_229,c_228,c_227,c_226,c_225,c_224,c_223,c_222,c_221,c_220,c_219,c_217,c_216,c_214,c_212,c_211,c_210,c_209,c_208,c_207,c_206,c_205,c_204,c_203,c_201,c_199,c_198,c_197,c_196,c_194,c_193,c_191,c_190,c_189,c_188,c_186,c_183,c_181,c_180,c_179,c_178,c_177,c_176,c_175,c_174,c_173,c_168,c_167,c_166,c_165,c_163,c_162,c_161,c_160,c_159,c_158,c_157,c_156,c_155,c_154,c_148,c_146,c_139,c_131,c_130,c_124,c_123,c_122,c_119,c_118,c_116,c_112,c_110,c_108,c_107,c_100,c_92,c_90,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_72,c_71,c_70,c_69,c_67,c_66,c_65,c_62,c_60,c_59,c_58,c_56,c_54,c_53,c_52,c_51,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG057+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n007.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 04:36:58 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 4.06/6.30 % SZS status Started for theBenchmark.p
% 4.06/6.30 % SZS status Theorem for theBenchmark.p
% 4.06/6.30
% 4.06/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.06/6.30
% 4.06/6.30 % ------ iProver source info
% 4.06/6.30
% 4.06/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.06/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.06/6.30 % git: non_committed_changes: false
% 4.06/6.30
% 4.06/6.30 % ------ Parsing...
% 4.06/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.06/6.30
% 4.06/6.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 4.06/6.30
% 4.06/6.30 % ------ Preprocessing...%
% 4.06/6.30
% 4.06/6.30 % SZS status Theorem for theBenchmark.p
% 4.06/6.30
% 4.06/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.09/6.30
% 4.09/6.30
%------------------------------------------------------------------------------